# AC 36-4B: Noise Certification Handbook

- Type: Advisory circular (guidance, not mandatory unless a rule or AD requires it)
- Status: Historical
- Version in force: [AC 36-4D](https://openairdocs.org/ac/36-4), approved October 12, 2017. This is a historical version
- Approved: March 23, 1988
- Last reviewed: January 15, 2003
- Family: AC 36-4
- Cancelled by: [AC 36-4C](https://openairdocs.org/ac/36-4C)
- 14 CFR parts: 36
- Pages: 66
- PDF: https://openairdocs.org/files/sha256/33/54/3354b2d5e459a600de8b8a7f6c5b83c41ee3392ac0072cd30cff0c2d053a3f51
- FAA DRS: https://drs.faa.gov/browse/excelExternalWindow/206BE9CEC52B4915862569B60073BFD3.0001
- DRS record last changed: September 3, 2026
- Page: https://openairdocs.org/ac/36-4B

## Versions

- [AC 36-4D](https://openairdocs.org/ac/36-4) (Current), approved Oct 12, 2017, 277 pages
- [AC 36-4C](https://openairdocs.org/ac/36-4C) (Historical), approved Jul 15, 2003, 211 pages
- [AC 36-4B](https://openairdocs.org/ac/36-4B) (Historical), approved Mar 23, 1988, 66 pages

## Text

Each page's text from the PDF; open the PDF at a page with #page=N.

### Page 1

U.S. Department of Transportation Federal Aviation Administration Advisory Circular

**NOISE CERTIFICATION**

HANDBOOK ,- March 23, 1988 AC 36-48 Initiated by: AEE-3

### Page 2

U.S. Department of Transportation Federal Aviation Administration Subject:

NOISE CERTIFICATION HANDBOOK Advisory Circular Date: 3/23/88 Initiated by: AEE-3

FOREWORD AC No: 36-4B Change:

The aim of this technical manual is to promote uniformity of implementation of the noise certification requirements of Part 36 of the Federal Aviation Regulations (FAR) by presenting test, analysis, and documentation procedures for subsonic turbojet airplanes that have been determined by the FAA to be technically acceptable for demonstrating compliance with that regulation.

Where appropriate, FAA policy governing such certifications is reviewed.

Norman H. Plummer Director of Environment and Energy

### Page 3

CONTENTS CHAPTER 1. GENER.AI.. • • • • • • • • • • 111 • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • •

1. Purpose • •••••.••••••••••••••••••••••••••••••••••••••••••••

2. Cancellation ...•.•.••••••••••••••••••••••••••••••••••.••••

3. Background ••••••••••••••••••••••••••••••••••••••••••••••••

4. Objective .•.•••..•.........••.•.••.••••••••••..•••••••••••

5. Noise Demonstrations •.•••••••••.••••••••••••••••••••••••••

a. Flight Tests ...••..•••••.•..••...•••.•••••.•••.••.••..

b. Supplemental Noise Demonstration Methods ••••••••••••••

c. Changes to Noise Certification Levels for Derived Versions ••••••••••••••••••••••••••••••••••

6. Witnessing of Tests •••••••••••••••••••••••••••••••••••••••

7. [Rese"ed] ... .................................•...........

CHAPTER 2. NOISE DEMONSTRATION FLIGHT TEST UNDER PART 36 APPENDICES A .AND B •••••••••••••••••••••••••••••••••••••

8. Test Conditions •••••••••••••••••••••••••••••••••••••••••••

a. Test Site Characteristics •••••••••••••••••••••••••••••

b. Atmospheric Conditions ••••••••••••••••••••••••••••••••

9. Flight Procedures •••.••••.•••••••••••••••••.•.••••••••••••

a. Selection of a Flight Test Noise Demonstration Method••••••••••••••••••••••••••••••••••

b. Nominal Conditions for Development of a Reference Noise-Power-Distance Data Base (NPD) •••• a••••••••••••••••••••••••••••••••••

c. Measurements at Non-reference Points ••••••••••••••••••

d. Test Day Flight Procedure~ ••••••••••••••••••••••••••••

e. Target Test Conditions ••••••••••••••••••••••••••••••••

10. Measurements •• ••••••••••••••••••••••••••••••••••••••••••••

a. Sound Measurements .. a•••••••••••••••••••••••••••••••••

b. Airplane Position and Performance •••••••••••••••••••••

11. Sound Measurement System Specifications •••••••••••••••••••

12. Analys~s System .•........ ••••••••••••••••••••••••••••••••• Page 1 1 1 1 1 2 2 2 2 2 3 (and 4) 5 5 5 5 6 6 7 7 10 11 11 12 13 14 14 iii

### Page 4

AC 36-4B

13. Sound Measurement Equipment Calibrations and System Checks. . • . • • • . . • . . . • • • • . . . . . . • • • • • . • . • . • • • • • • • . 15

14.

a.

b.

Frequency Response••••••••a••••••••••••••••••••••••••• Amp 11 tude . .•..••••.....•...••.••• • • • • • • • • • • • • • • • • • • • • • Computation of Effective Perceived Noise Level (EPNL) •••••••••••••••••••••••••••••••.•.••••••••••••

a.

b.

c.

d.

e.

Data Processing ............................ ••••••••••• Test Day EPNL •••••••••••••••••••• • • •. • • • • • • • • • • • • • • • • • Normalized ~PNL • ..•••••••••••••••....•••••••• • • • ••• • • • Duration Correction for Simplified Adjustment Method •• ••••••••••••••.••••••••••••••••••• • Reference EPNL Evaluation ••••••••••••••••••••••••••••• 15 15 15 16 17 17 17 18 CHAPTER 3. SUPPLEMENTAL NOISE DEMONSTRATION METHODS iv UNDER PART 36 APPENDICES A AND B••••••••••••••••••••••• 21

15. Alternative Methods ••••••••••••••••••••••••••••••••••••••• 21

16. Technical Considerations •••••••••••••••••••••••••••••••••• 22

a. Examples of Demonstration Applications •••••••••••••••• 22

b. Noise Source Characteristics •••••••••••••••••••••••••• 22

c. Noise Increment Derivation Using Common Demonstration Method •••••••••••••••••••••••••••••••••• 22

d. Supplemental Test Data Compatibility •••••••••••••••••• 24

e. Component Noise Sources ••••••••••••••••••••••••••••••• 24

f. Noise Increments Caused by Nacelle Acoustic

Treatment Changes. . • • • . • • • • • • • • • • . • • • • • • • . • • • … 24

17. Static Engine Tests ••••••••••••••••••••••••••••••••••••••• 24

a.

b.

c.

d.

e.

f.

g.

h.

i.

j.

Limits on the Projection of Static to Flight Data•••••••••••••••••••••••••••••o•••••••••• 25 Test Site Requirements •••••••••••••••••••••••••••••••• 25 Test Hardware. • . • • • • • • • • • . • . . . . . . . . . . . . . . . . . . . . . . • . • • • 25 Inflow Control Devices •••••••••••••••••••••••••••••••• 25

ICD Calibration.. . . . . . • . . . . . . . . . . . • . . . . • • • • • … 26

Acoustic Shadowing .•..•••••.••••••••••••••••••••.••••• 26 Microphone Locations .....•...•..•..••••••••••••••••••• 28 Engine Power Test Conditions •••••••••••••••••••••••••• 28 Data Analysis System Compatibility •••••••••••••••••••• 28 Data Acquisition, Analysis and Normalization •••••••••• 28 3/23/88

### Page 5

18. Projection of Static Engine Data to Airplane Flight Conditions •••••••••••••••••••••••••••••••••••••.••• 29

a. Engine Installation Effects ••••••••••••••••••••••••••• 29

b. Normalization to Reference Conditions ••••••••••••••••• 32

c. Engine Component Noise Source Separation •••••••••••••• 32

d. Noise Source Position Effects ••••••••••••••••••••••••• 33

e. Engine Flight Conditions •••••••••••••••••••••••••••••• 34

f. Noise Source Motion Effects ••••••••••••••••••••••••••• 34

g. Airframe Noise Component •••••••••••••••••••••••••••••• 35

h. Extrapolation to Airplane Flight Path ••••••••••••••••• 36

i. Total Noise Spectra •••••....•••••••••••••.•••••••••••• 36

j. EPNL Computations •••••.••••••••••••••••.•••••••••••••• 37

k. Noise Increment Computations •••••••••••••••••••••••••• 37

19. Supplemental Flight Tests ••••••••••••••••••••••••••••••••• 37

20. Supplemental Analyses ..•••••..••.•••.•................•••• 37

a. Noise Increments Derived from an Approved NPD ••••••••• 38

b. Analytical Modeling of Noise Components ••••••••••••••• 38

21. Supplemental Component Tests •••••••••••••••••••••••••••••• 39 (and 40)

22. Methods for Demonstrating No Acoustical Change •••••••••••• 39 (and 40) CHAPTER 4. DOCUMENTATION REQUIREMENTS ••••••••••••••••••••••••••••• 41

23. General . ..........................••...•.•.•......• … 41

24. Noise Compliance Demonstration Plan ••••••••••••••••••••••• 41

a. Introduction ..............•.•.• … 41

b. Test Item ...••...•..................•...•• … 41

c. Type of Noise Demonstration Method •••••••••••••••••••• 41

d. Test Description ............................•.• … 41

e. Data Acquisition Systems•••••••••••••••••••••••••••••• 41

f. Data Analyses and Normalization Procedures •••••••••••• 41

g. Equi valencies … 41

25. Noise Certification Compliance Report ••••••••••••••••••••• 42

a. Introduction ... ..........................••• , ••.. • ... • 42

b. Airplane, Engine, and Nacelle Descriptions •••••••••••• 42

c. Airplane Performance at Reference Conditions .•........... ...........•....•..... -.. • .. • • .. 42

d. Certification Noise Levels •••••••••••••••••••••••••••• 42

e. Noise Certification Test Results •••••••••••••••••••••• 42 V

### Page 6

AC 36-4B

26. DER Witness Informal Report ••••••••••••••••••••••••••••••• 43

27. Noise Control Act Findings •••••••••••••••••••••••••••••••• 43

28. Airplane Flight Manuals ••••••••••••••••••••••••••••••••••• 44

a. General Requirements for Limitation ••••••••••••••••••• 44

b. AFM Maximum Certificated Weight Limits •••••••••••••••• 45

c. Multiple Noise Certifications ••••••••••••••••••••••••• 45

d. Landing Flap Restriction •••••••••••••••••••••••••••••• 45

e. Optional Engine Thrust Ratings (Derate and Reduced Thrust) ••.••••••••••.••.•.•...••••.•.••••• 46

f. Noise Level Information ••••••••••••••••••••••••••••••• 46

29. !CAO Certifications ••••••••••••••••••••••••••••••••••••••• 46 APPENDIX 1. NOISE DATA CORRECTIONS FOR TESTS AT HIGH ALTITUDE TEST SITES •••••••••••••••••••••••••• 1

1.

2.

Introduction ••••••••••••• 8 •••••••••••••••••••••••••••••••• Jet Noise Source Correction ••••••••••••••••••••••••••••••• APPENDIX 2. GUIDANCE MATERIAL ON METHODS TO ACCOUNT

FOR THE EFFECTS OF BACKGROUND NOISE 1 1 ON AIRPLANE RECORDED NOISE DATA •••••••••••••••••••••• 1

1.

2.

3.

Introduction ••.•..••••• e.e•••••••••••••••••••••••••••••••• Background Noise ••.•.••••••••••••••••••••••••••••••••••••• Correction Procedures •••••••••••• ~························ APPENDIX 3. GUIDANCE MATERIAL ON METHODS TO IDENTIFY

PSEUDOTONES/FICTITIOUS TONES IN AIRPLANE RECORDED NOISE DATA•••••••••••••••••••v••••••••••••••

1. Introduction ••••••••••••.•••••••••••••••••••••••••••••••••

2. Spectral Irregularities •••••••••••••••••••••••••••••••••••

3. Methods for Identification of Pseudotones/Fictitious Tones ••••••••••••••••••••••••••• APPENDIX 4. COMPUTATION OF EFFECTIVE PERCEIVED NOISE 1 1 3 1 1 1 2 3/23/88 LEVEL (EPNL) ••••••••••••••••••••••••••••••••••••••••• 1 (and 2) APPENDIX 5. GUIDANCE MATERIAL ON METHODS TO CALCULATE CONFIDENCE INTERVALS ••••••••••••••••••••••••••••••••• 1

1. Introduction ••••••••.•••.•••••..••••....•••••.•.•••••••••• 1

2. Confidence Interval for Clustered Data •••••••••••••••••••• 1

3. Confidence Interval for Regression Curve •••••••••••••••••• 2

4. Confidence Interval for Pooled Data Sets •••••••••••••••••• 5 vi ~'

### Page 7

**CHAPTER 1. GENERAL**

1. PURPOSE. The aim of this advisory circular (AC) is to promote uniformity of implementation of the noise certification requirements of Part 36 of the Federal Aviation Regulations (FAR) by presenting technically acceptable test, analysis and documentation procedures for subsonic turbojet airplanes that may be used by applicants for demonstrating compliance with Part 36. Where appropriate, FAA policy governing such certifications is reviewed.

2. CANCELLATION. Advisory Circular 36-4A, Noise Certification Test and Analysis Procedures, dated January 21, 1986, is cancelled.

3. BACKGROUND. Part 36 contains noise certification standards for turbojets, large transport category airplanes, and propeller-driven small airplanes.

These regulations require that standard procedures be used unless an equivalent procedure is approved by the FAA. However, airplane noise measurement and analysis technology has developed considerably since Part 36 was adopted in 1969. Through aircraft noise certification, a body of technically sophisticated measurement and analysis methods has been developed by certificate applicants. As a result of this experience, alternative compliance methods have evolved and have been approved by the FAA. This AC describes those procedures. Applicants should always obtain prior approval from the responsible FAA certificating official before initiating any noise certification action. It should also be noted that the methods presented in this AC are not the only ways to demonstrate compliance with Part 36 nor the only ones that may be approved in the future.

4. OBJECTIVE. The objective of noise certification is the demonstration of compliance with Part 36 for one or more specific airplane versions. The demonstration method used to determine noise levels will depend upon a number of factors. For example, Part 36 requires an applicant for a new type design to conduct a noise demonstration flight test. However, depending upon the extent of the data already in existence for the type design, the applicant for a change to an existing type design may submit for FAA approval a proposal either to conduct a flight test or to conduct supplementary tests and/or analyses. When supplementary data are used, they serve as the basis to adjust flight noise levels already approved for an earlier version. Dialogue between the applicant and the certificating authority at the beginning of an airplane certification program is necessary to identify anticipated changes in airplane type design that can impact noise certification. A noise compliance demonstration plan outlining the planned tests and/or analyses should be submitted as soon as possible to the FAA by the applicant. This plan should contain the method by which the applicant proposes to show compliance with the noise certification requirements. Because of the unique nature of each noise demonstration, the test plan is reviewed with the certificating authority before each test and, if necessary, modified to reflect any unique aspects or current developments related to the immediate noise demonstration test. With this flexibility, a single test plan, submitted to encompass more than the immediate test, is often advantageous. Guidance on preparation of noise compliance demonstration plans and certification compliance data reports is provided in Chapter 4 of this AC.

Chap 1 Par 1 1

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**5. NOISE DEMONSTRATIONS.**

a. Flight Tests. This AC presents guidelines on methods to acquire noise data from a sufficient number of flights of a particular airplane to derive the three required Effective Perceived Noise Level (EPNL) levels. Guidelines are also provided on acquisition and normalization methods such that a generalized noise data base (defined by noise-power-distance relationships) may be developed for an airplane type. Suggested procedures for determining the certificated Part 36 noise levels derived from this generalized noise data base are also provided. This generalized data base is directly applicable to changes in type design which retain the same basic noise source characteristics.

b. Supplemental Noise Demonstration Methods. For those applicants seeking approval for changes in type design, guidance is also provided on suggested procedures for determining noise level changes relative to a previously approved version of the type. These procedures rely on supplementary testing and/or analysis techniques in conjunction with approved noise data already available for the type. The use of such methods for demonstrating noise compliance is optional, subject to FAA approval, and does not preclude an applicant from using a flight test for each noise certification demonstration.

c. Changes To Noise Certification Levels For Derivative Versions. Many of the equivalent procedures given in this AC relate to derivative versions, where the procedure used yields the information needed to obtain the noise certification levels of the derivative version by adjustment of the noise levels of the "flight datum" aircraft (i.e., the most appropriate aircraft for which the noise levels were measured during an approved Part 36 flight test demonstration). The physical differences between the "flight datum" aircraft and the derivative version can take many forms, for example, an increased takeoff weight, an increased engine thrust, changed powerplant or propeller types, etc. Some of these changes will alter the distance between the aircraft and the noise certification reference points, others the noise source characteristics. Procedures used in the determination of the noise certification levels of the derived versions will, therefore, depend upon the change to the aircraft being considered. However, where several similar changes are being made, for example, introduction of engines from different manufacturers, the procedures used to obtain the noise certification levels of each derivative aircraft should be followed in identical fashion.

6. WITNESSING OF TESTS. All flight and other tests conducted in support of noise certification need to be witnessed by FAA personnel or by an Acoustic Designated Engineering Representative (DER) appointed under Order 8110.37.

Under that Order, Acoustic DER's may:

2 Witness and approve noise certification tests conducted in accordance with an approved test program, when specifically authorized to do so by the FAA.

Chap I Par 5

### Page 9

Approve noise analysis techniques and computer programs and certify the noise values reduced by these programs that were measured and evaluated as prescribed in Subparts Band/or F of Part 36 or by an equivalent procedure previously approved for that noise test series by the Office of Environment and Energy.

Prior FAA approval is required for the re-delegation by Acoustic DER's of the authority to witness tests. In addition, Acoust:ic DER's may not determine whether a type design cbange is an acoustic change under Part 21. Acoustical DER's also may not approve:

Test plans or equivalent procedures, Operating limitations or other Aircraft Flight Manual information, or Certificated aircraft noise levels.

7. [RESERVED] Chap 1 Par 6 3 (and 4)

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3/23/88 CHAPTER 2. NOISE DEMONSTRATION FLIGHT TEST UNDER PART 36 APPENDICES A AND B AC 36-4B

8. TEST CONDITIONS. The airplane should be operated such that noise values corresponding to the takeoff, sideline, and approach reference conditions defined in Part 36 can be derived within the limitations of Appendix 1. To meet the test environmental reQuirements prescribed in Part 36, the following test site and atmospheric conditions have been approved as providing an acceptable test environment.

a. Test Site Characteristics. The noise measurement stations are placed such that the reference locations specified in Part 36 can be adequately simulated. Part 36 prescribes reference noise measurement stations relative to runway brake release or threshold point (e.g., 6500 meters from brake release for takeoff measurements); however, actual test measurement station locations may differ for the following reasons:

(1) To minimize the impact of ambient sound on the measurement of the airplane sound pressure levels. Prior to testing, a comparison of expected airplane sound pressure levels with the expected test-site ambient sound will aid in choosing test microphone locations. It is generally preferable to relocate measurement stations rather than contaminate airplane noise measurements with ambient sound from sources such as nearby road or air traffic.

(2) To increase the airplane signal-to-noise ratio to ensure adequate measurement of the airplane's acoustic signature. In such cases, the takeoff measurement station and/or the airplane flight trajectory may be relocated so that the test day sound propagation path length is less than the reference path length to ensure acquisition of acceptable data. In the selection of an adequate signal-to-noise ratio, consideration should be given to limitations on corrections for the influence of anbient sound, as well as limitations on the total correction from test to reference conditions.

(3) When obstructions near the noise measurement station(s) will influence sound measurements. Takeoff and approach measurement stations may be relocated as necessary to avoid undesirable obstructions. Sideline measurement stations (distances) may be relocated by distances which are of the same order of magnitude as the airplane lateral deviations (or offsets) relative to the nominal flight path that occur during flight testing.

NOTE: Flight path intercepts adopted as alternatives to full takeoffs and full stop landings may be adjusted to attain the same.performance as would be observed at the reference distances.

b. Atmospheric Conditions.

(1) Temperature and Relative Humidity Limits. When atmospheric conditions of ambient temperature and relative humidity result in atmospheric absorption in the 8 kHz one-third octave band at any point aJong the sound propagation path exceeding 12 dB/100 m, then instrumentation used to determine relative humidity snould consist of an ambient air temperature and dew point Chap 2 Par 8 5

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temperature measurement system accurate to within+ 0.5°C. When such instrumentation is used, the 8 kHz atmospheric absorption may be extended to 14 dB/100 m and, for approaches only, to 16 dB/100 m. Relative humidity is required to be between 10 and 95 percent.

(2) Wind Limits. Testing may be conducted when: the wind speed does not exceed an average value, over the sound measurement period, of 12 kts and a maximum value of 15 kts; the crosswind component does not exceed an average value over the sound measurement period, of 7 kts and a maximum value of 10 kts. A 30 second moving average is used to define average wind speed.

Part 36 requires the wind measurements to be made 10 meters above the ground and in the vicinity of the measuring station.

**9. FLIGHT PROCEDURES.**

a. Selection of a Flight Test Noise Demonstration Method. An accurate, reliable definition of the airplane noise characteristics is the primary objective of the demonstration test. To achieve this goal, at least six sound measurements are required by section A36.5(e) and section 8(a)of Part 36 to ensure that a mean noise level for each of the three certification reference conditions can be defined with a 90 percent confidence interval not exceeding + 1.5 EPNdB. This requirement can be achieved by conducting a series of test flights at or near reference power. After adjusting each measured noise level to Part 36 reference conditions, a certification noise value should be computed by averaging the adjusted levels (see paragraph 14). An alternate method is to acquire sufficient measurements (at least six) to allow the generalized noise characteristics of the airplane to be developed (a noise-power-distance data base (NPD)). (See paragraph 14(e)(2)). The three certification levels for any specific configuration are then determined by entering the developed data base at the certification reference distance and power and applying appropriate airplane speed corrections.

(1) For a range of powers covering full and cutback powers, the airplane is flown past sideline and under-flight-path microphones in accordance with section C36.3 of Part 36. Sufficient noise measurements are made to enable noise-power curves at a given distance for both sideline and takeoff cases to be established. These curves are extended either by calculation or by the use of additional flight test data to cover a range of takeoff distances to form the generalized noise NPD data base for use in the noise certification of the "flight datum" and derived versions of the type.

The 90 percent confidence intervals about the mean lines are constructed through the data. This sequence should be repeated for an under-flight-path microphone for a range of approach powers using the appropriate speed and airplane configuration. In compliance with section C36.9 of Part 36, the approach configuration that is most critical from a noise standpoint must be used. When in doubt, an applicant may be required to test and evaluate more than one configuration.

(2) When approved data are available to define the engine spool down characteristics, it may be appropriate to substantiate noise levels for cutback power without the implementation of a cutback takeoff procedure by making noise measurements during reduced power operations. The average engine 6 Chap 2 Par 8

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spool down time should be representative of average conditions and should reflect a 1.0 second minimum altitude-recognition lag time to account for pilot response. For determination of the reference cutback noise levels, the cutback initiation should be selected to ensure stabilized cutback power conditions before the initial 10 Tone Corrected Perceived Noise Level (PNLT) down point. Flyover noise levels with power cutback may be established from the merging of PNLT versus time measurement~ obtained during constant power operations. As seen in Figure l(a), the 10 dB down PNLT noise time history may contain portions of both the full power and cutback power noise time histories. Provided these noise time histories, the average engine spool-down thrust characteristics and the airplane flight path during this period (Figure l(b)), which includes the transition from full to cutback power, are known, the flyover noise level may be completed.

(3) An alternate method may be used to derive cutback power noise levels. In some cases, this method results in lower EPNL values, depending upon the characteristics of the forward radiated noise. Actual test runs may be conducted using a power cutback procedure that is initiated close to the overhead point. This technique is different from the procedure described in the previous paragraph in that the engine power is not stabilized during the entire 10 dB down time period. The concept involves delaying power cutback in order to gain extra altitude, but cutting back power before the maximum PNLT (PNLTM) exceeds the PNLTM that would exist using stabilized cutback power.

Since this is a more difficult flight test procedure, care should be exercised in conducting the test runs to ensure consistency in order to meet the 90 percent confidence interval criteria.

(4) The airplane's source noise characteristics should be measured over the operating range in sufficient detail to define the difference between test and reference day source noise. To aid in obtaining adequate data for these adjustments it may be necessary to identify those airplane/engine parameters, e.g., N1/ 0 2 for turbofans, that are the major controllers of the airplane's noise level and appropriately vary these parameters during the test. For propeller-driven airplanes, the engine parameters are propeller helical tip Mach number and shaft horsepower.

b. Nominal Conditions for Development of a Reference Noise-Power-Distance Data Base (NPD). For the development of a generalized NPD, sound pressure level (SPL) data are normalized to the ambient environmental conditions specified in Part 36 and to nominal takeoff and approach aerodynamic configurations and performance. For example, the selected airplane speed should be representative of the range of speeds for the configurations and weights which are anticipated to be certified. In addition, takeoff and approach configurations may be different; requiring normalizing SPL data to different airplane speeds. Note that the adjustment procedure requires FAA approval when developing an NPD. (See paragraph 14(e) of this AC.) An example of a generalized NPD is shown in Figure 2.

c. Measurements at Non-reference Points. In some instances test measurement points may differ from the reference measurement points in Part 36, Appendix C. Under these circumstances an applicant may request Chap 2 Par 9 7

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**8 FIGURE 1**

COMPUTATION OF CUTBACK-TAKEOFF NOISE LEVEL FROM CONSTANT POWER TESTS I l(a) NOISE TIME HISTORY 1 · PNLT

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**FLYOVER NOISE**

**TIME HISTORY**

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POWER FLIGHT PATH i NOISE MEASURING POINT Chap 2 Par 9

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3/23/88 Chap 2 DIL-e .... _.

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approval of data that have been adjusted from the actual measurements to repre­ sent data that would have been measured at the reference points in reference conditions. (See paragraph 8(a).) Reasons for such a request may be:

(1) to allow the use of a measurement location that is closer to the airplane flight path so as to improve data quality by obtaining a greater ratio of signal to background noise;

(2) to enable the use of an existing, approved certification data base for an airplane type design in the certification of a derivative of that type when the derivative is to be certificated under reference conditions that differ from the original type certification reference conditions;

(3) to avoid obstructions near the noise measurement station(s) which could influence sound measurements. By using a flight path intercept technique, takeoff and approach noise measurement stations may be located as necessary to avoid undesirable obstructions. Sideline measurement stations may be relocated by distances which are of the same order of magnitude as the airplane lateral deviations (or offsets) relative to the nominal flight paths that occur during flight testing. Approval has been granted to applicants for the use of data from non-reference noise measurement points provided that measured data are adjusted to reference conditions in accordance with the requirements and limitations of Part 36, Appendices A and B.

d. Test Day Flight Procedures. Airplane weight and flight trajectory can be properly simulated by controlling those parameters most directly related to the airplane/engine noise source strength and directivity. Test day flight procedures should be chosen to provide an adequate definition of the airplane noise source characteristics. The selection of test day flight procedures will depend upon the methodology chosen to derive certification noise levels,

i.e., either by repeating the reference conditions or from an NPD.

(1) Test Day Procedures. Selection of test day flight procedures should be compatible with the methodology chosen to derive certification noise levels. If an applicant chooses to derive certification noise levels by averaging at least six conditions flown at or near reference power and distance, then corrections should account for differences in airplane source noise between test and reference airplane power settings, To qualify these corrections, testing at other operating conditions may be required to define in sufficient detail the airplane source noise levels. This testing may be in addition to the number of measurements at or near reference power necessary to achieve a 90 percent confidence interval not exceeding+ 1.5 EPNdB. The applicant may, however, choose to derive the certification noise level directly from a generalized NPD. The NPD is developed by conducting a sufficient number of sound measurements over a range of airplane operating conditions so that the 90 percent confidence interval about a mean line does not exceed+ 1.5 EPNdB. To describe a power line an applicant should conduct a minimum of six flights, each at a different power setting, at a common target altitude. To attain the required confidence interval, more than six flights may be necessary. Typically, the power-related parameter which governs noise generation is corrected low pressure rotor speed, N1/~, corrected net thrust, Fn/cfamb' or EPR, where:

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N1 is the actual low pressure rotor speed, 0 is the ratio of absolute total temperature of the air at the height of EEe airplane to the absolute temperature of the air for an international standard atmosphere (ISA) at mean sea level (i.e., 288.15°K) EPR is engine pressure ratio.

F is the actual engine net thrust per engine, and n ,:S is the ratio of absolute static pressure of the ambient air at th:mgeight of the airplane to ISA air pressure at mean sea level (i.e., 29.92 in HgA or 101.325 kPa).

(2) Simulated Takeoffs and Approaches. Where shown by the applicant to be equivalent to the procedures specified in Part 36, simulated takeoffs and approaches, consisting of flight path intercepts may be used in lieu of starting and ending each flight from a full stop. For takeoff, flight path intercepts consist of intercepting and following the desired climb profile beginning at a target distance above ground level. Approach intercepts maintain the approach path over the measurement location without actually landing. In either case, the airplane is stabilized and following the target trajectory throughout the sound measurement period. (The sound measurement period includes levels within 10 PNdB below the maximum.) Test airplane weights, speeds, and aerodynamic configurations should be selected to allow achieving target test conditions for those performance parameters having the major effect on noise generation. Approved inflight operable Auxiliary Power Units (APU's) must be on during all approach test conditions.

e. Target Test Conditions. Target test conditions can be established for each sound measurement. These target test conditions will define the selected aerodynamic configuration, airplane weight, flight procedure (such as takeoff flight path intercept), altitude, power, and airspeed at the closest point of approach to the measurement location, For example, a takeoff aerodynamic configuration may be defined by the climb gradient and flap setting. NOTE:

The airplane angle of attack will remain approximately constant for all weights if the tests are conducted at a constant flap setting and the airplane speeds correspond to the reference speed, v2 + 10 kts for each weight. The aerodynamic configuration, e.g., flap setting, must remain constant during the sound measurement period. Speed corrections, however, are generally permitted up to 15 kts. Alternatively, for many airplanes the airplane attitude remains approximately constant for all weights if the tests are conducted at the V + 10 kts for the maximum takeoff weight. In the execution of the flight for purposes of obtaining sound measurements, the pilot should "set up" the airplane with the selected configuration in order to pass by the measurement location at the target altitude, power, and airspeed.

10. MEASUREMENTS. This section provides guidelines on how to obtain sound measurements and relevant airplane position and performance data necessary for normalizing the measured sound data to conditions differing from the actual test day conditions. All of these are synchronized.

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a. Sound Measurements.

(1) All sound measurements are made with equipment meeting the specification in Part 36. The measurements are made such that, when processed, they will provide one-third octave band sound pressure levels as a function of time for the calculation of EPNL.

(2) The location of each noise measuring station must be surrounded by relatively flat terrain having no excessive sound absorption charac­ teristics, such as tall (in excess of 3 inches) grass, shrubs, or wooded areas. For measurement sites located on the extended runway centerline, a closely mowed grass circle SO feet in diameter is acceptable. For sideline locations, the grass may be mowed in a SO-foot semicircle facing the line of flight. Any earthen or sandy surface should be reasonably tamped down.

Plowed furrows, silt, or soft powdered surfaces are unacceptable. In the winter time, a SO-foot radius microphone area that is clear of snow may be considered acceptable by the onsite FAA witness when other weather restrictions are acceptable.

(3) Microphones should be located at the certification reference height of 1. 2 m (4 ft) above the ground surface. In some cases, such as for pseudotone identification, it may be desirable to obtain additional data exhibiting free-field spectral shapes by selecting a microphone location to minimize the interference effects of ground reflections on the measured sound spectra (see Appendix 3 of this AC). Free field spectral shapes can be obtained by:

(a) mounting the microphone high above the ground first interference frequency falls below the range of interest.

10 m (33 ft) is generally adequate.

so that the A height of

(b) mounting the microphone diaphragm in the plane of, or very close to, a large, acoustically hard (reflective) ground-plane surface so that the direct and reflected waves arrive in phase causing a doubling of the sound pressure. Care must be taken to ensure that the hard surface does not have air pockets beneath the surface or edges that could influence the acoustic measurements.

(4) Orientation of the microphone will depend on the microphone type. Most commonly used are grazing incidence microphones which are designed so that nearly a flat frequency response is maintained at grazing incidence to the microphone; the microphone is oriented to maintain near grazing incidence throughout the airplane flyover. Perpendicular incidence microphones are designed so that maximum sensitivity occurs when they are oriented so that the sound impinges upon the diaphragm in a perpendicular direction when the airplane is at the closest point of approach. Data obtained using perpendicular incidence microphone are acceptable provided that the data are corrected for directivity and frequency response effects and the maximum Noy value for the corrected data is located in the one-third octave band centered at 5000 Hz or less.

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(5) If the airplane sound pressure levels within the sound measurement period do not exceed the background sound pressure levels by at least 10 dB in each one-third octave band, they may be adjusted to eliminate the additive influence of the background sound. When the airplane sound is less than 10 dB, but more than 3 dB above the background, the corrected airplane sound levels are obtained by logarithmically subtracting the background sound levels. For those situations where the airplane levels are less than 5 dB above the background, this influence may be avoided by obtaining measurements at distances closer to the airplane and then adjusting the measurement to the desired distance or by adjusting the measured sound pressure levels using technically supported analytical shaping methods (see Appendix 2 of this AC). NOTE: If the measurements are not adjusted to delete background noise, the resultant EPNL values will be higher than if measured in the absence of background noise.

(6) Maximum sideline noise may be determined by positioning several measurement stations parallel to the airplane flight track as prescribed in Part 36. An alternative to this method may be to use two measurement stations, symmetrically positioned about the nominal flight track, and fly the airplane at several altitudes and thus simulate the data that would have been acquired during a "climb-out" using a series of measurement stations.

Experience suggests that the maximum noise level will occur at an elevation angle near 34 degrees (approximately 1000 ft altitude for airplanes with 1,476 feet [450 meter] sideline measuring stations) and the levels will be rather insensitive within several degrees of this value. When the two-station method is used, the sideline noise for each run is the arithmetic average of the corrected EPNL from each of the two lateral measurement points. The confidence level should be calculated using the method in Appendix 5 (paragraph 2 of this AC).

b. Airplane Position and Performance.

(1) The airplane height and lateral position relative to a fixed location (the nominal flight track along the extended centerline of the runway) should be determined by a method independent of normal flight deck instrumentation. Methods found to be acceptable include radar tracking, theodolite triangulation, laser trajectography, microwave positioning, and photographic scaling techniques (when the simplified method is used). Care must be taken when the photographic scaling technique is used to ensure that the airplane position can be reliably related to the sound measurement positions. In the past, inaccuracies in space posicioning have been introduced by using hand-held cameras to take single photographs of aircraft supposedly overhead. The aircraft are often off-center from the reference flight path. Firm mounting on a fixed tripod can eliminate some of the sources of possible error The simplified method for correcting EPNL should be used when continuous tracking is not available.

(2) The airplane position along the flight path can be related to the sound pressure levels recorded at the measurement locations by using synchronized signals. Airplane position should be recorded during the sound measurement period.

Chap 2 Par 10 13

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(3) Measurements of airplane/engine performance parameters for calculation of test day performance should be recorded throughout the sound measurement period. These measurements should be time-related to the airplane position along the flight path. Examples of parameters for measurement are airplane attitude, engine power setting, climb angle, and airplane speed.

Flap position and gear posHion should be fixed and noted for each test condition.

11. SOUND MEASUREMENT SYSTEM SPECIFICATIONS. The noise certification test should use a quality sound measurement system. Output should be measured in the form of one-third octave band sound pressure levels covering the frequency range from 45 Hz to 11,200 Hz for each one-half second over the sound measurement period. Included in the measurement system should be components that perform the following functions: transform sound pressure waves to electrical signals (microphones), condition the signals, store signals for later analysis, and retrieve and analyze the signals in terms of one-third octave band levels as a function of time.

a. Corrections to compensate for instrumentation non-uniform frequency response characteristics should be determined and applied to the sound pressure level data. These should include response characteristics of

(a) microphone free field and directivity, (b) windscreen insertion loss and directivity, (c) preemphasis, (d) signal conditioning equipment, (e) data storage and retrieval system, and (f) analysis system. All corrections should be identified, documented, and FAA approved.

b. When selecting sound measurement system components, compliance with requirements may be determined from manufacturers' specifications, user calibrations, or a combination of both. When multiple systems of the same type are used, demonstration of compliance of at least one system is satisfactory. However, this does not preclude the need to perform the system calibrations and checks described in Part 36 and paragraph 13 of this AC.

Analysis systems that meet the specifications defined in the following paragraphs have been approved.

12. ANALYSIS SYSTEM. The analysis system may be either analog or digital and provide a root mean square (RMS) sound pressure level in one-half second increments in each of the 24 one-third octave bands having geometric mean frequencies from 50 Hz to 10 kHz. The averaging properties of the integrator may correspond to one of the following:

a. For instruments with exponential averaging characteristics, the requirements for Type 1 sound level meter with "slow" response as defined in International Electrotechnical Commission (IEC) Publication No. 651.

b. For true integrating instruments compliance with the "slow" response as defined in !EC 651 may be demonstrated by combining successive readouts from the data processor, such as -3, 0, +1 half-second samples or -2, 0, +2 half-second samples. This combination of readouts is required since the effective "slow" response averaging time is greater than the sampling interval. When a true integration system is used, an acceptable alternative 14 Chap 2 Par 10

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to combining "successive" readouts is to set the integration time equal to the sampling interval. The use of this type of data reduction system has required the use of the integrated EPNL method.

13. SOUND MEASUREMENT EQUIPMENT CALIBRATIONS AND SYSTEM CHECKS. Part 36 requires calibration of the sound measurement system. This section describes approved procedures to calibrate and check the complete measurement system.

These procedures provide guidance which ensures proper equipment performance over the frequency range from 45 Hz to 11.2 kHz.

a. Frequency Response.

(1) The free-field frequency response characteristics of each micro­ phone are determined by a pressure response calibration (which may be obtained from an electrostatic calibrator) in combination with manufacturer provided corrections or by a free-field calibration in an anechoic facility. The directivity response characteristics of the microphone need to be defined and cover a sufficient angular range to encompass the sound measurement period.

(2) Within 5 days of test the electrical response characteristics of each measurement system, excluding the microphone and windscreen, should be determined at a level within 10 dB of the full-scale reading used during the test, using one of the following input signals: sine waves at the center frequency of each one-third octave band, or pink noise. Sufficient determinations are made to ensure that the overall calibration of the system is known for each test. The calibration signal generator should have been checked within 6 months of the test series with instruments which meet standards set by the National Bureau of Standards.

b. Amplitude

(1) An acoustic calibration of the system, including the microphone, should be performed in the field at least once every 5 days. The acoustic calibration should contain a reference signal of known amplitude and frequency in order to provide correlation with the calibrated sound pressure level. A pistonphone operating at a nominal 124 dB and 250 Hz is generally used. In addition, immediately before and after each day's testing, a recorded calibration of the system can be made in the field by injecting a 250 Hz sine wave signal into each microphone preamplifier.

(2) Each magnetic tape reel should contain a reference signal of known amplitude and frequency in order to provide correlation with the calibrated sound pressure level. The reference signal (which represents a known sound pressure level) is generated when the acoustic calibrator is in the proper position over the microphone or an electrical signal of known amplitude is inserted into the tape recorder.

14. COMPUTATION OF EFFECTIVE PERCEIVED NOISE LEVEL (EPNL). SPL data used in compliance demonstrations should be corrected to the airplane and environ­ mental reference conditions prescribed in Part 36. Methods to determine a corrected EPNL at each measurement location for evaluating compliance with Part 36 noise level requirements are provided in this section.

Chap 2 Par 12 15

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a. Data Processing. Before computing an EPNL, the measured SPL, meteorological, and airplane position and performance data acquired as described in paragraph 10 should be reviewed to ensure there are no anomalous data. However, it should be noted that Part 36 requires that no data may be omitted without specific FAA approval. Measured data should be processed in accordance with the guidelines provided below.

(1) Sound Pressure Level Data (SPL). Sound pressure levels for each of the one-third octave bands covering the frequency range from 45 Hz to 11200 Hz should be provided for each one-half second over the sound measurement period by analyzing measured signals with equipment that is consistent with the performance specifications defined in paragraph 11.

Corrections for instrument responses, as described in paragraph 13 (such as frequency response), should be taken into account during the data processing.

Measured SPL data may be adjusted to account for the presence of the following undesirable data contamination. (NOTE: If the measurements are not adjusted to delete the presence of contamination the resultant levels will be higher than if measured in the absence of such contamination.)

(a) Extraneous Sound Sources. Contamination of the measured airplane-generated signal may occur occasionally due to the presence of extraneous sound sources. Examples of such sound sources include birds chirping in the vicinity of the microphone or tape anomalies (tape anomalies can be caused by an infrequent, temporary loss of the FM carrier signal). The measured SPLs may be adjusted to reflect the SPL which would have been measured in the absence of the extraneous source, Where appropriate, spurious one-third octave band spectrum levels may be replaced by linear interpolation of adjacent, uncontaminated spectral levels.

(b) Background Noise Corrections. The resultant airplane sound pressure level values, after adjustment, should correspond to the sound pressure levels which would have been measured under test conditions in the absence of any background noise. As discussed in paragraph lO(a)(S) of this AC, sound pressure levels recorded during the airplane flyover and which do not exceed the mean background noise sound pressure levels by at least 3 dB, or the analyzer floor by 1 dB, may be adjusted using a technically supported analytical shaping method. Acceptable methods are provided in Appendix 2.

(c) Pseudotone/Fictitious Tone Identification. Spectral irregularities resulting from ground plane reflections, known as pseudotones, or any spectral irregularities other than those resulting from airplane sound, known as fictitious tones, may be excluded from the tone correction evaluation in the EPNL calculation. Acceptable methods for identifying pseudotones/ fictitious tones are provided in Appendix 3 of this AC.

(2) Airplane Position and Performance Data. Representative airplane position and performance data for the sound measurement period should be computed for each measurement location.

(3) Meteorological Data. The ambient air temperature and relative humidity values which are used for the computation of the atmospheric absorption of sound, are those which are representative of the atmospheric 16 Chap 2 Par 14

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conditions over the sound propagation path at the time of each sound measurement. An absorption value determined from the meteorological data acquired at 10 m (33 feet) provides an adequate representation of the atmospheric conditions, if the absorption coefficient in the 3150 Hz one-third octave band does not vary more than+ 0.5 dB/100 mover the sound propagation path corresponding to the maximum PNLT. When the atmospheric absorption coefficient in the 3150 Hz one-third octave band, over the sound propagation path relative to the PNLTM varies more than+ 0.5 dB/100 m, then "layered" sections of the atmosphere should be used to-compute equivalent weighted sound attenuations in each one-third octave band. The arithmetic average of values of temperature and humidity at the top and bottom of each layer are used to represent the sound path atmospheric absorption rate for each layer. (Also see paragraph 8(b)(l) of this AC.)

b. Test Day EPNL. Using the SPL data, corrected for instrumentation and background noise and processed in a manner described in paragraph 14(a), an EPNL corresponding to test day conditions should be calculated per the method provided in Part 36, Appendix B. To reduce the influence of random spectral irregularities, one or more of the correction methods provided in Appendix 3 of this AC may be used to meet the requirements of Part 36, Appendix B.

c. Normalized EPNL. Measured SPL data are normalized to the reference ambient conditions specified in Part 36 and to nominal airplane position and engine performance conditions. Nominal airplane position and engine performance data should be derived by using approved aerodynamic performance data at the reference ambient conditions. The measured SPL data should be corrected for the effects caused by differences between test day and nominal conditions. The corrections account for the effects of atmospheric absorption, sound propagation distance, airplane speed, and airplane source noise. A normalized EPNL should be calculated using either the "simplified" or "integrated" adjustment methods as described in Part 36, Appendix A (section A36.ll(f)) for takeoff. The integrated method has been extended to sideline and approach noise measurements for some applications. However, the "simplified" method should generally be used for adjusting sideline noise measurements. Some NPD procedures have required the use of the integrated adjustment method. When an array of sideline microphones located on one side of the airplane flight path is used, the maximum sideline noise level and the associated airplane altitude should be determined from a least squares polynomial regression of sideline noise as a function of airplane altitude.

The regression curve, and thus the maximum sideline noise, is adjusted by an amount equal to one-half the difference between noise levels observed at the symmetric sideline locations. When the airplane is flown past two symmetrical microphones at several altitudes, the arithmetic average of the two microphone levels is used as the datum for each flight.

d. Duration Correction for Simplified Adjustment Method. When calculating a normalized EPNL using the "simplified" method of adjustment, a duration correction may be applied as follows:

A 2 = - 7. 5 log (DM/DR) Chap 2 Par 14 17 ----- -- -~---~~~-

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where: DM is the minimum distance to the measured flight path for takeoff and approach. For sideline, DM is the measured sound propagation distance associated with maximum PNLT.

DR is the minimum distance to the reference flight path for takeoff and approach. For sideline, DR is the reference sound propagation distance for maximum PNLT.

e. Reference EPNL Evaluation. Reference EPNL values for each of the three certification reference measurement locations and their 90 percent confidence intervals can be produced from the test results and reported.

Guidance on confidence interval computations is provided in Appendix 5 of this AC. No test result should be omitted in the evaluation of the reference EPNL unless specified by the certificating authorities. Applicants should meet the 90 percent confidence interval not to exceed+ 1.5 EPNdB as required by section A36.5(e)(2) of Part 36.

(1) Average of Clustered Flight Conditions. For each measurement location, one method for demonstrating compliance with the 90 percent confidence interval requirements is to conduct a series of sound measurements at prescribed flight conditions, A minimum of six flight conditions must be conducted at or near reference power or at judiciously spaced intervals surrounding the reference power. Measured SPL data for each flight condition should be normalized to reference ambient conditions and to reference airplane position and performance accounting for the effects of atmospheric absorption and sound propagation distance. These normalized values of SPL should be used to compute EPNL. Values of EPNL should be further corrected to account for differences between test and reference airplane speed and source noise.

Source noise level corrections may be derived from approved supplemental data acquired in addition to the test flights clustered around the reference power. The resulting corrected EPNL's for all flight conditions at each single measurement location are arithmetically averaged to derive a single reference EPNL value. (See paragraph 14(e)(2)(b) below when the data are to be used to derive a mean EPNL line for an NPD or for determining sideline noise levels.) The corrections may be derived solely from the test flights provided the test flight conditions were conducted at intervals surrounding the reference power such that the source noise level versus power setting is defined. In this case, the resulting EPNL's at a measurement location are obtained using the NPD methods in the following paragraph.

(2) Noise-Power-Distance Data Base.

(a) An alternate method of demonstrating compliance with the 90 percent confidence interval requirements is achieved by developing an NPD data base. The NPD data base should be developed by conducting a series of flights, each at a different airplane operating condition, while maintaining the same aerodynamic configuration. The measured sound pressure level data for each power condition should be normalized to the reference ambient conditions and specified airplane position and performance. The normalized sound pressure level data are used to compute values of EPNL. For each measurement location, the nominal airplane position and performance will be obtained for each selected aerodynamic configuration. The EPNL at each power 18 Chap 2 Par 14

### Page 24

condition is then normalized to an array of minimum distances. All correction techniques in paragraph 14(c) should be applied except the source noise correction which is not applicable in the development of the NPD data base.

(b) For each array of corrected EPNl, and power values, corresponding to a common airplane to ground minimum distance, a mean line and the 90 percent confidence intervals about the line should be computed and documented. This mean line as shown in Figure 5-1 in Appendix S, is obtained from a first, second, or third order least-squares polynomial regression analysis. (Note: the choice of the order of curve fit requires FAA approval.) Similarly constructed lines may be used for EPNL versus slant range or altitude.

(c) The reference EPNL value should be derived by entering the NPD data base at the reference location and the aerodynamic performance conditions of power and minimum distance and by applying a duration correction to account for the difference between the nom:i.nal airplane speed used in development of the NPD and the reference airplane speed. To minimize errors introduced in the speed correction pro~ess, hold the variations in test speed around the reference values to less than 15 knots.

(3) Procedures for the Determination of Changes in Noise Levels. Noise level changes determined by comparison of flight test data for different configurations of an airplane type have been used to establish certification noise levels of newly derived versions by comparison to the noise levels of the flight datum airplane. These noise changes should be added to or subtracted from the noise levels obtained from individual flights of the "flight datum" airplane.

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3/23/88 CHAPTER 3. SUPPLEMENTAL NOISE DEMONSTRATION METHODS UNDER PART 36 APPENDICES A AND B AC 36-4B

15. ALTERNATIVE METHODS. This chapter provides guidance on alternative methods for deriving noise levels in support of Part 36 compliance demonstration for conventional turbofan-powered airplanes that result from a change in type design. The methods addressed are ground static engine testing, supplemental flight testing, analytical adjustment and component testing. Although emphasis is placed on deriving noise increments suitable for adjustment of a Noise-Power-Distance (NPD) data base derived according to the methods outlined in Chapter 2, the guidance provided is also applicable to adjustment of singular noise levels at any of the three Part 36 reference locations. Approval of equivalent procedures for the use of static test information depends critically upon the availability of an adequate approved data base acquired from the flight testing of the flight datum airplane. For each application, the FAA will review the technical validity of the existing certification noise levels/NPD to ensure the data base is sufficient for derivation of certification noise levels for airplanes resulting from a change in type design.

a. The requirements for approval of acoustical changes are contained in FAR section 21.93(b), not in Part 36. As a result, once a flight test data base is approved for the baseline airplane, it is seldom necessary to employ full Part 36 noise tests to demonstrate compliance for an acoustical change.

In many instances, approval has been based on compliance demonstration methods not requiring flight tests. In these instances noise level increments between two airplane versions were derived using supplemental test and/or analysis techniques. The results of these analyses were used to demonstrate either no acoustical change, or to establish certification noise levels for the changed airplane version. Certification noise levels for a derived version are determined by applying the appropriate noise increments to noise levels already approved for the airplane prior to the design change provided that the data are within the required confidence interval. This adjustment of previously approved noise levels may be made either at the specific Part 36 reference points or, more generally, to an approved NPD for the type design from which Part 36 noise levels may be derived.

b. Noise increments for certain changes in type design can be established by a specific supplementary demonstration method; for example, noise increments due to airplane performance changes may be assessed using an approved NPD analysis. The available supplementary demonstration methods should be reviewed for the most appropriate method based on the guidelines in this AC. The use of these methods for demonstrating noise compliance is discretionary and does not preclude an applicant from conducting a noise demonstration flight test to show compliance.

c, When it has been determined in advance that more than one aircraft configuration may be certificated from common flight test data bases, it is often useful to the applicant to develop and seek FAA approval of an overall certification plan for that family of aircraft. This is referred to as a "family plan." These plans characteristically involve one or more approved NPD data bases and supplementary demonstrations, such as engine static tests.

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16. TECHNICAL CONSIDERATIONS, Selection of a supplementary noise demonstration method for a specific change of type design depends upon a number of general technical considerations. The technical items common to each demonstration method are discussed in this section; technical items associated with a particular type of supplemental demonstration method are provided in the respective sections.

a. Examples of Demonstration Applications. The nature of the change in type design may limit the selection of appropriate supplementary noise demonstration method(s). Examples of the application of supplementary methods are provided in Figure 3. The list is not comprehensive, and, for a specific type change, more than one method may be technically valid.

b. Noise Source Characteristics.

(1) For type changes which retain the same basic noise source characteristics as the approved version that has demonstrated, by flight test, compliance with FAR Part 36, certification noise levels may be derived directly from the approved NPD; for example, noise increments resulting from airplane aerodynamic performance differences can be obtained directly from the NPD by using analytical methods described in paragraph 18 of this AC.

(2) The nature of some type changes may or may not constitute a change in the basic airplane noise source characteristics. In such cases, the approved NPD may be acceptable for deriving noise increments if supporting data or analyses are provided which demonstrate that the noise source characteristics remain unchanged. For a power rating extension, a certification noise level may be directly derived from an NPD, which has been extended using approved analytical techniques.

(3) For type changes which may result in changes to the basic noise source characteristics, modifications to the approved NPD may be incorporated through use of one of the supplementary methods described in this AC. Noise level increments representative of the differences between the reference and changed version should be algebraically added to the approved NPD values. A new engine type or nacelle are examples of changes in type design which may change the basic noise source characteristics.

(4) For some type changes which may result in altering the basic noise source characteristics, adjustments may be made directly to the approved flight levels. These adjustments reflect the noise difference between two nacelle and/or engine configurations and may be applied to the approved flight levels as one-third octave band adjustments or as EPNL adjustments.

Application of this method follows the same procedures as defined for adjusting an NPD data base, except it is applicable only to a discrete airplane flight condition.

c. Noise Increment Derivation Using Common Demonstration Method, To ensure derivation of the correct noise increment between two different airplane configurations, the supplemental test and analysis methods used for both the previously approved and changed version must be of the same type.

22 Chap 3 Par 16

### Page 27

**FIGURE 3**

**POSSIBLE APPLICATIONS OF SUPPLEMENTAL**

**NOISE DEMONSTRATION METHODS**

DEMONSTRATION BASIS ANAL.VSlS C0'1PONENT TESTING 't:~:

LINl!li STATIC

**TESTING**

SUPPLEMENTAL ~ FLIGHT ~:t:iiiiu;::::~b TEST 1 NG ' 777777777?, Chap 3 Par 16 NOTE:

**EXAMPLE OF CHANGES IN TYPE DESIGN**

**AIRPLANE AERO-PERFORMANCE CHANGES**

(e.g., Gross Weight, Flap, Fuselage, etc.)

**MINOR ENGINE THRUST AND/OR RATING**

**CHANGES**

**MINOR MODIFICATIONS TO ENGINE**

**MINOR MODIFICATIONS TO ENGINE**

NACELLE [ ENGINE COMPONENTS (e.g., Jet, etc.)

ACOUSTIC TREATMENT CHANGES Fan,

**NEW ENGINE OF COMPARABLE TECHNOLOGY**

**AND SOURCE NOISE CHARACTERISTICS**

**ACOUSTIC TREATMENT CHANGES**

**NEW ENGINE NACELLE**

ENGINE COMPONENT CHANGES NOISE SUPPRESSION DEVICE (e.g., Exhaust Gas Mixer) ENGINE CGMPONENTS (e.g., Jet, Fan, etc.)

**THIS LIST IS NOT COMPREHENSIVE AND**

**FOR A SPECIFIC TYPE CHANGE, MORE**

**THAN ONE DEMONSTRATION METHOD MAY BE TECHNICALLY VALID.**

### Page 28

This avoids discrepancies that can occur from merging differing methods, The demonstration method is designed to provide noise levels representative of those occurring with production hardware (e.g., engine and nacelle).

Furthermore, the spectral characteristics of the basic and modified configurations need to be similar.

d. Supplemental Test Data Compatibility. The application of a noise demonstration method depends upon the compatibility with data previously acquired, Items which should be considered include test hardware, test and analysis procedures, test site and configuration.

e. Component Noise Sources. The airplane noise source components affected by the change should be considered in determination of the best method for the evaluation of changes to the total airplane source noise characteristics. Parameters controlling the component noise source generation mechanisms and directional characteristics should be identified in order to assess the noise sensitivity of each component source. For example, when the total airplane noise characteristics are dominated by one source, such as the low speed rotor, the use of component test results, in combination with a component noise source analysis, may be an appropriate method to demonstrate noise increments.

f. Noise Increments Caused by Nacelle Acoustic Treatment Changes. Noise increments caused by nacelle acoustic treatment changes made to noise certified aircraft can be empirically derived by coupling data from static engine noise tests with data from certification flyover noise tests. The noise increments, in EPNdB, can be determined by applying the difference in measured spectra between the two nacelle treatments to measured one-third octave band sound pressure levels in flight at the same directivity angle. If the modified nacelle treatment produces levels lower than the existing nacelle treatment, noise generated by the airframe should be considered in determining the dominant noise source.

17. STATIC ENGINE TESTS. Data acquired from static tests of engines incorporating similar designs to those that were flight tested may be projected, where appropriate, to flight conditions and, after FAA approval, used to supplement an approved NPD for the purpose of demonstrating compliance with Part 36 in support of a change in type design. This section provides guidelines on static engine test data acquisition, analysis and normalization techniques, The information provided is used in conjunction with the technical considerations in paragraph 16 and the general guidelines for test site, measurement and analysis instrumentation and test procedures provided in Society of Automotive Engineers (SAE) Aerospace Recommended Practice (ARP) No. 1846, "Measurement of Noise from Gas Turbine Engines During Static Opera­ tion." The engine designs and the test and analysis techniques to be used should be presented in the test plan and submitted to the FAA for concurrence prior to conducting the test. It should be noted that test restrictions defined for flight testing in conformity with Part 36 are not necessarily appropriate for static testing. For example, the distances associated with atmospheric absorption for static tests are substantially less than those encountered in flight testing and thus may require different criteria.

24 Chap 3 Par 16

### Page 29

a. Limits on the Projection of Static to Flight Data. The amount by which the measured noise levels of a derivative engine will differ from the reference engine is a function of several factors, including: (1) thermo­ dynamic changes to the engine cycle, including increases in thrust; (2) design changes to major components, e.g., the fan, compressor, turbine, exhaust system, etc.; and (3) changes to the nacelle. Additionally, day-to-day and test site-to-site variables can influence measured noise levels and, therefore, the test, measurement, and analysis procedures described in this AC are designed to account for these effects. While the FAA does not impose a fixed numerical limit on the amount of extrapolation from reference to derivative engines, it is important to consider whether there are practical limitations to proposed extrapolation techniques and at what point new flight test data may be required.

b. Test Site Requirements. The test site should meet at least the criteria specified in SAE ARP 1846. Different test sites may be selected for testing the subject configurations provided the test sites approved by the FAA are acoustically similar. See paragraph 17(g) of this AC for criteria concerning data acquisition and analysis systems. Depending upon test objectives and unique test stand and test site characteristics, wind speed and direction limits should be considered.

c. Test Hardware. A flight inlet adjusted for static testing by the addition of a bellmouth forward of the inlet may be used with each turbofan or turbojet static noise test. Production inlet acoustic lining and spinners are also to be installed during noise testing.

d. Inflow Control Devices. The use of static engine test noise data for Part 36 noise certification under an approved "family plan 11 requires the use of an approved Inflow Control Device (ICD) for high bypass engines (BPR 2.0).

For static tests conducted after May 1, 1986, the following requirements have been imposed on the ICD:

(1) The specific ICD hardware must be inspected for conformance with an approved ICD design by an approved method.

(2) The ICD must be acoustically calibrated for sound transmission loss by an approved method.

(3) The ICD acoustic calibration must be used as a correction in the certification data analysis. In applying the calibration, an approved method must be used to determine that portion of the noise received at the forward quadrant microphones that is radiated through the ICD. The calibration is applied to that portion of the noise that is radiated through the ICD.

(4) The ICD position relative to the engine inlet must be determined and found to be one of the calibrated positions.

(5) The ICD cali.bration consists of an SPL correction for each one-third octave band at each forward quadrant microphone that will be used during static engine testing.

Chap 3 Par 17 25

### Page 30

(6) No more than one calibration is required for an ICD hardware design, provided that there is no deviation from the design for any one ICD serial number hardware set.

The above calibration requirements are not required if the same ICD hardware (identical serial number) is used as was previously used in the static noise test of the flight engine configuration, and the fan tones for both engines remain in the same one-third octave bands.

e. ICD Calibration. An acceptable ICD calibration method is as follows:

(1) Assume the correction is zero for the one-third octave bands from 30 Hz through 800 Hz, unless the engine design would dictate that forward radiated tones or major inlet broadband noise occurs below 1000 Hz. In that case, an approved correction procedure is required.

(2) Place an acoustic driver(s) on a simulated engine centerline in the plane of the engine inlet lip. Locate the calibration outer microphones on the forward quadrant azimuth at a radius between 50 and 150 feet that provides a good signal-to-ambient noise ratio and at each microphone angle to be used to analyze static engine noise data. Locate a near-field microphone on the centerline of and within 2 feet of the acoustic center of the acoustic driver(s).

(3) Conduct a test without the ICD in place. The test must be for a minimum of 60 seconds duration following system stabilization. The test must be conducted at a constant input voltage to the acoustic driver(s).

(4) Repeat item (3), alternately with and without the ICD in place.

A minimum of three tests of each configuration is required. To be acceptable, the total variation of the 55° microphone on-line OASPL signal (averaged for a 1 minute duration) for all three test conditions of each configuration shall not exceed 0.5 dB. NOTE: Physically moving the ICD alternately in and out of place for this calibration may be eliminated if it is demonstrated that the ICD positioning does not affect the calibration results, (S) All measured data are to be corrected for sound pressure level variations as measured with the near-field microphone and for atmospheric absorption to 77°F and 70 percent RH conditions using the slant distance between the outer microphones and the acoustic driver(s).

(6) The calibration for each one-third octave band at each microphone is the difference between the average of the corrected SPLs without the ICD in place and the average of the corrected SPLs with the ICD in place.

(7) The tests must be conducted under wind and thermal conditions that preclude acoustic shadowing at the outer microphones and weather induced variations in the measured SPL data.

f. Acoustic Shadowing.

(1) If ground-plane microphones are used, the applicant should demonstrate that acoustic "shadowing" resulting from either thermal gradients 26 Chap 3 Par 17

### Page 31

or wind does not significantly influence the measured sound pressure levels.

When there is a wind in the opposite direction to the sound wave propagating from the engine, or when there is a substantial thermal gradient in the test area, refraction can influence near-ground plane microphone measurements to a larger degree than measurements at greater heights. Previous evidence, or data from supplemental tests, may be used to demonstrate that testing within the approved weather restrictions at a particular test site results in no significant evidence of shadowing. In lieu of this evidence, the supplemental noise demonstration tests should include an approved method to indicate the absence of shadowing effects. One such method that has been approved involves the use of three measurements located as follows:

- average windspeed at engine centerline height (WCL)

- air temperature at engine centerline height (TCL)

- air temperature at the ground-plane microphone height (TMIC)

(2) Ground plane microphones should be mounted within one-half microphone diameter or one-quarter wavelength of the highest frequency to be recorded, whichever is least. Generally, this spacing is 7 mm (0.25 inch).

(3) The instruments for these measurements should be co-located at a distance from the engine similar to that of the microphones and placed close to the 90 degree noise measurement position without impeding the acoustic measurement. The limits that follow are in addition to any wind and temperature limits established by other criteria, such as the maximum crosswind at the engine and the maximum windspeed at the microphones if microphone windscreens are not used. For an acceptable data test point, the average windspeed and temperature should be within the following limits:

- Engine centerline height at 16 ft.

(assuming a 150 ft radius microphone array and smooth concrete pad):

(TCL - TMIC)~ -7°F (-3.9°C), WCL ~ 11 km/h (6 kts) average during test time for each data point (typically 30 seconds), WCL!:: 15 km/h (8 kts) maximum during test time for each data point.

- Engine centerline height at 21 ft.

Chap 3 Par 17 (assuming a 150 ft radius microphone array and smooth concrete pad):

(TCL - TMIC):l,. -7°F (-3.9°C), 27

### Page 32

AC 36-4B WCL~19 km/h (10 kts) average during test time for each data point, WCL~23 km/h (12 kts) maximum during test time for each data point.

3/23/88

g. Microphone Locations. Microphones should be located at sufficient angular locations and at a height to provide adequate definition of the engine noise source characteristics. More specific guidance is given in SAE ARP 1846. The objective is to obtain measurements which can be corrected to a connnon reference condition. One method is to obtain or correct data to free field conditions (see paragraph 18(b) of this AC). Certification experience has been primarily limited to microphone installations near the ground or at centerline height. Because of the difficulties associated with extrapolating to flight conditions, the FAA suggests using near-ground plane microphone installations. However, the choice of microphone installations is dependent upon the specific test objectives and FAA approval of methods to be used for data normalization. It is currently required to use consistent microphone locations, heights, etc., for noise measurements of both the prior approved and changed aircraft version.

h. Engine Power Test Conditions. A range of static engine operating conditions should be selected to correspond to the expected maximum range of in-flight engine operating conditions. A sufficient number of engine power settings should be tested to ensure that the 90 percent confidence intervals in flight projected EPNL can be established over the desired range. (See Appendix 5 of this AC.)

i. Data Analysis System Compatibility. If more than one data analysis system is used for the acquisition of static data, compatibility of the two analysis systems is necessary. This can be verified by analyzing the same tape on both systems. The systems are compatible if the resulting differences in the projected in-flight EPNL values are no greater than 0.5 EPNdB.

Evaluation should be conducted at flight conditions representative of those fo~ certification.

j. Data Acquisition, Analysis, and Normalization. For each power setting designated in the test plan, the engine performance, meteorological, and sound pressure level data should be acquired and analyzed. Instrumentation and test procedures described in SAE ARP 1846 are acceptable. Sound measurements should be normalized to consistent conditions (generally free field) and consist of 24 one-third octave band RMS sound pressure levels between 45 and 11,200 Hz for each measurement (microphone) station. Before projecting the static engine data to flight conditions, the sound pressure level data should be corrected for the following effects:

(1) Frequency response characteristics of the data acquisition and analysis system.

(2) Spherical divergence over the sound propagation path.

Chap 3 28 Par 17

### Page 33

(3) Atmospheric absorption over the sound propagation path due to the difference in test and Part 36 reference ambient conditions of temperature and relative humidity.

(4) Spectral distortions resulting from ground reflections (methods to account for spectral distortions are presented in SAE Aerospace Information Report (AIR) No. 1672B).

(5) Contamination by background ambient or electrical system noise.

18. PROJECTION OF STATIC ENGINE DATA TO AIRPLANE FLIGHT CONDITIONS. The static engine sound pressure level data acquired at each angular location should be analyzed and adjusted to account for the effects identified in paragraph 17(h) of this AC. They should be then projected to the same airplane flight conditions used in the development of the approved NPD. As appropriate, the projection procedure includes the effects of source motion, number of engines and shielding, flight geometry and atmospheric propagation.

To account for these effects, the measured static noise data should be analyzed to determine contributions from individual noise sources. After projecting the one-third octave band spectral data to flight conditions, EPNL values should be calculated for the revised NPD plot. Guidelines on the elements of an acceptable projection procedure are provided in this section.

This process is also illustrated in Figures 4 and 5. It is not intended that the procedure illustrated in Figures 4 and 5 should be exclusive. There are several options, depending upon the nature of the powerplant noise sources and the relevance of individual noise sources to the EPNL of the airplane. The method presented does, however, specify the main features that should be considered in the computational procedure. It is also not necessary that the computations should always be carried out in the order specified. There are interrelations between the various steps in the procedure which depend on the particular form of the computation being followed. Hence the most efficient manner of structuring the computation cannot always be predetermined.

NOTE: Static-to-flight projection procedures for installations or engine types that are not similar to those that have been previously approved may require flight validation.

a. Engine Installation Effects. There are several engine installation effects which can modify the generated noise levels but which are not derivable from static tests. Additional noise sources, such as jet/flap or jet/wing interaction effects, may be introduced on a derivative version of the airplane which are not present on the flight datum airplane. The aircraft's noise directivity patterns (field shapes) may be modified by wing/nacelle or jet-by-jet shielding, tailplane and fuselage scattering or airframe reflection effects. However, general methods to adjust for these effects are not yet available. It is, therefore, important that, before the following procedures are approved for the derivative version of the airplane, the geometry of the airframe in the vicinity of the engines can be shown to be essentially identical to that of the flight datum airplane so that the radiated noise is unaffected.

Chap 3 Par 18 29

### Page 34

**30 AC 36-4B FIGURE 4**

**EXAMPLE OF A METHOD FOR PROJECTING STATIC ENGINE**

**DATA TO FLIGHT CONDITIONS JET .AIRFRAME**

NOISE CAPPROAC ONLY) STATIC DATA <EACH ANGLE,

**INTO CONTRIBUTING SOURCES OTHER CFAN, COMPRESSOR COMBUSTOR, TURBINE ETC.J**

**ADJUST FOR SOURCE MOTION**

•JET REL. * DOPPLER

**VELOCITY EFFECTS EFFECTS**

PROJECT TO PROPER DISTANCE *SPHERICAL DIVERGENCE ~ATMOSPHERIC ABSORPTION

**ADJUST FOR FLIGHT GEOMETRY**

• NO. OF ENGINES • SHIELDING

•1.2M MICROPHONE HEIGHT

COMBINE FOR TOTAL NOISE CLOG SUM COMPONENTS) NL T TOTAi. STIIITJC NOISE SPECTRA + COMPONENT SOt.RCE

**SEPAAATJON**

PROJECTION TO FLIGHT TOTAL P~O.£CTEC FLIGHT NOISE SPECTRA + D"N- _J_ Chap 3 Par 18 3/23/88

### Page 35

Chap 3 PaT 18 FIGURE 5

PROJECTION OF STATIC ENGINE DATA TO AEROPLANE FLIGHT CONDITIONS oO OOo PNL'?* 0 0 00 ACQUIRE TIME AVERAGED STATIC TmT DATA UNDm STABILISED POW!R CONDITIONS OVER ANGULAR RANGE EMBRACING 10dll-D0WN Tl11E5 OF FLIGHT TIME-HISTORY FOR EACH INDIVIDUAL MEASURED ANGLEI' P!UORM 1/3

OCTAVE (& POSSDLY NARROWBAND) ANALYSIS AND 0 .ADJUST DATA FOR STATIC PROPAGATION EFFml'S UNDDi REFDIENCE A'!MOSPHERE CONDITIONS ID:mTIFY ALL RELEVANT DISCREI'E TOm:3 AND Sum'BACT FROM 1/3 OCTAVE SPIDTRUM TO. GIVE BRO.ADBAND SPIDTRUM.

CONSIDmi TONES AND BROAD13AND SEPARATELY

**BROADBAND**

**USING APPROVED SOURCE**

**IDENTIFICATION TECHNIQUES**

CONDUCT SOURCE BREAKDOWN TONES IDmTIFY ORIGIN OJ' TOIDS WHmE APPRO­ PRIATE ADJUST FOR SOURCE MOTION EFFllX:TS, ACCOUNTING FOR RELATIVE VELOCITY, DOPPLER .FREQUENCY SHIFT, CONVE::TIVE AMPLIFICATION, Dnm::TIVITY EFFIDTS, El'C., AND ENGINE THERMODYNAMIC CHANGES ADJUST FOR NUMBER OF ENGINES, RELEVANT INSTALLA­

TION EFFECTS AND SOURCES OF INTEBACTION/AIRFRAME NOISE, AND RECONSTITUTE 1/3 OCTAVE BAND SOUND

PRESSURE LEVELS ~LATE TO AIRCR.AF'I' HEIGHT (SLANT DISTANCE) AND ALLOW FOR GROUND REFI,D;TION, LATERAL PROPAGA­ TION AND OTHER RELEVANT :EFE'JlXJTS TO PRODUCE QUASI­ INFLIGHT 1/3 OCTAVE BAND SPL AND PNLT INTEGRATE PRO.mm:D PNLT OVlli TIME CORRESPONDING

**TO HEIGHT, FLIGHT PATH AND AIRSPEED**

COMPUTE EPNL 0 0 " i 0 " 0 Q~-~ oo-o---- 00 o0 10cm 0 °o.

(Fan Tones) 31

### Page 36

b. Normalization to Reference Conditions. The analyzed static test data should be normalized to standard conditions in the Part 36 reference atmosphere. The latter correction can only be applied with a knowledge of the spectra of the sources and hence the computations in paragraphs (c), (d), and (e) below should be considered together with the following:

(1) Atmospheric Absorption - Adjustments to account for the acoustical reference day atmospheric absorption are defined in SAE ARP 866A (revised March 15, 1975). The atmospheric absorption should be computed over the actual distance from the effective center of each noise source to each microphone, as described below. In the event that minor differences in absorption values are found in SAE ARP 866A between equations, tables or graphs, the equations should be used.

(2) Ground Reflection - Examples of methods for correcting measured sound pressure levels to standard conditions are described in SAE AIR 1672B-(1983). Spatial distribution of noise sources does not have a first order influence on ground reflection effects and, hence, may be disregarded.

It is also noted that measurements of sound pressure levels with ground-plane microphones may be used to identify the large spectral irregularities caused by interference effects at frequencies less than 1 KHz.

c. Engine Component Noise Source Separation. Unless dominated by just one noise source (e.g., fan noise from a turbofan engine), the measured static engine SPL data at each angular location should be separated into each of the noise sources that may provide significant contributions to the total. This separation should be performed in terms of one-third octave band level and the total noise should be separated into broadband and turbomachinery noise components. To meet the minimum requirement, separation of sources of broadband noise into those due to external jet mixing and those generated internally can be carried out by estimating the jet noise by one or more of the methods identified below, and adjusting the level of the predicted spectrum at each angle to fit the measured low frequency part of the broadband spectrum at which jet noise can be expected to be dominant. A further separation of components may be necessary in some instances.

(1) Normally, jet noise dominates the low frequency range of the total noise spectrum and the peak jet noise one-third octave band can readily be discerned. In the mid-frequency range the contribution of jet noise relative to turbomachinery noise sources may not be as apparent. Predictions of jet noise spectral characteristics may be obtained from procedures in SAE ARP 876C, "Gas Turbine Jet Exhaust Noise Prediction," or from other approved methods such as component tests of comparable configurations. These spectral shapes are generally defined as a function of angle and operating condition.

The predicted jet noise spectral shape derived for the relevant position and operating condition should be adjusted to match the measured jet noise level in the low frequency range. The logarithmic sum of the jet and "other" noise sources should be reviewed to ensure that the summation for the mid-frequency range is consistent with the total measured noise. Two other techniques may be useful in obtaining additional information on changes in jet noise levels and spectral shapes.

32 Chap 3 Par 18

### Page 37

(a) Analytical procedures based on correlating full scale engine data with model nozzle characteristics may be useful. Such data have been used to supplement full scale engine data, particularly at low power settings, where noise from other engine sources may make a significant contribution to the broadband noise. Example procedures for coaxial flow jet engines are provided in SAE AIR 1905.

(b) Special noise source locations techniques, such as directional microphones, are available which, when used during full-scale engine tests, can identify the positions and levels of separate engine noise sources.

(2) Turbomachinery noise sources produce both tones and broadband noise. Methods for identifying one-third octave bands containing tones include use of either narrowband analysis or analytical procedures that consider the slopes between adjacent one-third octave bands (analogous to the tone identification procedure in the computation of EPNL).

(3) After separating the total noise into the contributions from each source, the summation, on an energy basis, of the source contributions in each one-third octave band should equal the total noise.

d. Noise Source Position Effects. Static engine noise measurements are often made at distances at which engine noise sources cannot be truly treated as radiating from a single acoustic center. This may not give rise to difficulties in the extrapolation to determine the noise increments from static data to flight conditions because noise increments in EPNL are not particularly sensitive to the assumption made regarding the spatial distribution of noise sources. However, in some circumstances (for example, where changes are made to exhaust nozzles and the sources of external jet-mixing noise are of overriding significance) it may be appropriate to identify noise source positions more accurately. The jet noise can be considered as a noise source distributed downstream of the engine exhaust plane. Internal sources of broadband engine noise and discrete tones may be considered to be radiating from the intake and the exhaust. There are three principal effects to be accounted for as a consequence of the position of the noise source differing from the "nominal" position assumed for the "source" of engine noise:

(1) Spherical Divergence - The distance of the source from the microphone differs from the nominal distance; an inverse square law adjustment should be applied.

(2) Directivity - The angle of the microphone to the source differs from the nominal microphone angle; a linear interpolation should be made to obtain data for the proper angle.

(3) Atmospheric Attenuation - The difference between the true and the nominal distance between the source and the microphone alters the allowance made for atmospheric attenuation.

Chap 3 Par 18 33

### Page 38

e. Engine Flight Conditions. As some thermodynamic conditions within an engine tested statically differ from those that exist in flight, account should be taken of the difference. Noise source strengths may be changed accordingly. Therefore, values for key correlating parameters for component noise source generation should be based on the flight condition and the static data base should be entered at the appropriate correlating parameter value.

Turbo-machi~ noise levels should be based on the inflight corrected rotor speeds N1/....;e~2 and jet noise levels should be based on the relative jet velocities thif exist at the flight condition. The variation of source noise levels with key correlating parameters can be determined from the static data base which includes a number of different thermodynamic operating conditions.

f. Noise Source Motion Effects. The effects of motion on jet noise differ from speed effects on other noise sources and, hence, should be considered separately during static-to-flight projection.

(1) External Jet Noise. Account should be taken of the frequency-dependent jet relative velocity effects and convective amplification effects. Broadly, two sources of information may be used to develop an approved method for defining the effect of flight on external jet noise.

(a) For single-stream engines having circular exhaust geometries, SAE ARP 876C-1985 provides guidance. However, additional supporting evidence may be needed to show when jet noise is the major contributor to the noise from an engine with a more complex nozzle assembly.

(b) Full scale flight data on a similar exhaust geometry can provide additional evidence. In general, however, because of the difficulty of defining high frequency effects in the presence of internally-generated engine noise, it may be necessary to provide additional supporting information to determine the variation of EPNL, with changes of jet noise spectra at high frequencies.

(2) Doppler Effect. Frequency shifting that results from motion of the source (airplane) relative to a microphone can be accounted for by using the following equation:

£FLIGHT= £STATIC f where £FLIGHT STATIC= (1-M cos 0) flight static frequency frequency M = airplane Mach number 0 = angle between the flight path and the sound path connecting the airplane and the microphone It should be noted that for those one-third octave bands dominated by a turbomachinery tone, the Doppler shift may move the tone (and its harmonics) into an adjacent band.

34 Chap 3 Par 18

### Page 39

(3) Source Amplitude Modification. Some available test data support the concept that airplane speed changes affect the apparent strength of noise sources internal to the engine, such as fan or combustor noise. In many instances it will not be essential to apply static-to-flight adjustments for these factors when establishing noise changes between two engine types or models. However, if an adjustment is used, the same technique should be applied to both the flight datum and derivative configuration when establishing noise changes. In such instances, the adjustment for sound pressure level changes that result from the motion of the airplane relative to the microphone may be accounted for using the equation:

£:1.SPLflight = SPLstatic-K log (1-M cos 0) where SPLfli ht= flight sound pressure level SPL t: = static sound level and Mand & are defined in (2) above and K is a ~o~sfint. Theoretically K has a value of 40 for a point noise source but a more appropriate value may be obtained by comparing stat'ic and flight data.

(4) Number of Engines and Engine Shielding - Noise sources of having more than one engine are accounted for by adding the factor 10 log N, where N is the number of engines, to the static data. If it is appropriate (e.g., for the sideline case) it may be necessary to account for shielding effects. NASA CR-114649, "Aircraft Noise Source and Contour Estimation," July 1973, provides guidance on engine shielding effects.

(5) Spherical Divergence - This effect results in a lowering of SPLs when moving farther away from the noise source. The amount that should be subtracted from the static data is 20 log (D FLIGHT/D STATIC) where D represents the distance from the source to the microphone.

(6) Atmospheric Absorption - Adjustments that should be used to account for reference day atmospheric absorption are defined in SAE ARP 866A revised March 15, 1975. In the event that minor differences in absorption values exist in SAE ARP 866A among equations, tables, or graphs, the equations should be used.

(7) Ground Reflection - In those instances where the noise tests for both the reference and changed versions have been conducted over the same type of surface, it may not be necessary to adjust the measured data for test surface effects. Any adjustment for ground reflection should correspond to the difference between the static measurements and flight measurements made

1.2 m (4 ft) above the ground surface. Examples of methods for obtaining free-field sound pressure levels are described in SAE AIR 1672B.

Alternatively, free field sound pressure levels may be derived from other approved analytical or empirically derived models or a combination of both.

g. Airframe Noise Component. To account for the possible contribution of airframe noise, measured airframe noise or an approved airframe noise analytical model should be used to develop an airframe noise data base. The airframe generated noise should be normalized to the same conditions as those Chap 3 Par 18 35

### Page 40

of the adjusted static engine conditions: i.e., sound propagation distances, and the approved NPD airspeed. In normalizing to these conditions, the following effects should be accounted for:

- spherical divergence

- atmospheric absorption, and

- airspeed. Airframe noise for a given configuration varies with velocity as follows:

where:

A SPL i f = 50 Log~VNPDJ a r rame V TES V TEST is model or measured airspeed VNPD is approved NPD airspeed This equation is also valid for adjustments to EPNL where an empirically derived coefficient replaces the coefficient 50 since this value may be somewhat configuration dependent. However, FAA approval should be obtained for values other than 50.

h. Extrapolation to Airplane Flight Path. When computing noise levels corresponding to the slant distance of the airplane in flight from the noise measuring point, the principal effects are spherical divergence (inverse square law adjustments from the nominal static distance) and atmospheric attenuation, as described in sections A36.9 and A36.ll of Part 36. Further, account should be taken of the difference between the static engine axis and that axis in flight relative to the reference noise measuring points. The adjustments should be applied to the component noise source levels that have been separately identified.

i. Total Noise Spectra. Both the engine tonal and broadband noise source components in flight, as discussed earlier, together with the airframe noise and any installation effects, are summed on a mean-square pressure basis to construct the spectra of total airplane noise levels.

(1) During the merging of broadband and tonal components consideration should be given to appropriate bandsharing of discrete frequency tones.

(2) The effects of ground reflections should be included in the estimate of freefield sound pressure levels to simulate the sound pressure levels that would be measured by a microphone at a height of 1.2 m above a natural terrain. Information in SAE AIR 1672B-1983 may be used to apply adjustments to the freefield spectra to allow for flight measurements being made 1.2 m (4 ft). Alternatively, the ground reflection correction can be derived from other approved analytical or empirically derived models. Note that the Doppler correction for a static source at frequency f i applies stat c to a moving (airplane) source at a frequency ffli ht where fflight=fstatic/(l - M cos e). g 36 Chap 3 Par 18

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(3) With regard to lateral attenuation, information in SAE AIR 1751-1981 applicable to the computation of lateral noise may be applied.

The process in this section is repeated for each measurement angle and for each engine power setting.

j. EPNL Computations. For EPNL calculation, a time should be associated with each extrapolated spectrum along the flight path by adjusting the measured data to the approved NPD reference conditions and the distance to the flight path. (NOTE: A time should be derived from each measurement location with respect to engine centerline and the airplane's true airspeed along the reference flight path assuming zero wind.) For each power setting and array of minimum distances, an EPNL should be computed from the projected time history using the methods described in Part 36, Appendix B. To reduce the influence of random spectral irregularities the tone corrections provided in Appendix 4 of this AC may be used to meet the requirements of Part 36, Appendix B.

k. Noise Increment Computations. An NPD plot can be constructed from the projected static data for both the original and changed versions of the engine or nacelle tested. Comparisons of the noise vs. power relationships for the two configurations at equivalent minimum distances, should determine whether the changed configuration resulted in an acoustic change. If there is an acoustic change, or if a new NPD is requested, the data applicable to the changed configuration should be developed from the static data projected to flight conditions plus the approved residual. This residual can be developed from the difference between flight data and static data for the flight configuration projected to flight. This residual has been limited to 3 decibels.

19. SUPPLEMENTAL FLIGHT TESTS. Supplemental flight testing has been found adequate for some type changes. An acceptable compliance plan may be developed by considering the technical items of paragraph 15 in conjunction with the flight test procedures outlined in Chapter 2 of this AC.

Additionally, consideration should be given to the effects the change in type design will have on the noise level at each of the Part 36 reference locations. Data should be acquired, analyzed, and normalized using the procedures described in Chapter 2, Noise Demonstration Flight Tests. The computation of noise increments, the development of the changed version NPD, computation of confidence intervals, and evaluation of the changed version noise levels can be made using procedures similar to those outlined in paragraph 17 of this AC for static tests.

20. SUPPLEMENTAL ANALYSES. Approved analytical procedures may be acceptable for demonstrating compliance with Part 36 for airplanes resulting from a change in type design. Depending upon the effect the change in type design will have on the basic airplane noise source characteristics. certification noise levels may be derived directly from the existing NPD, from an analytical extension of the existing NPD, or by supplementing the existing NPD with noise data derived by analytical modeling of the noise components.

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a. Noise Increments Derived from an Approved NPD. For type changes which retain the same basic noise source characteristics, certification noise levels may be derived directly from the approved NPD using the methods in paragraph 14(e)(2) of this AC.

(1) Example Applications.

(a) Weight increase or decrease from the originally certificated airplane weight, for both takeoff and approach.

(b) Engine power increase or decrease.

(c) Airplane changes that could indirectly affect noise levels because of an impact on airplane performance (increased drag for example).

(2) Extension of the Approved NPD. For the type change examples above, certification noise levels may be derived from the approved NPD provided the reference aerodynamic performance is within the limits of the approved NPD. For cases where the reference aerodynamic performance (e.g., engine power) is beyond the limits of the approved NPD, the NPD may be extended within approved limitations. Among the items which should be considered in extension of the NPD are:

(a) the 90 percent confidence interval at the extended power;

(b) airplane/engine noise source characteristics and behavior;

(c) engine cycle changes; and

(d) quality of data to be extrapolated.

b. Analytical Modeling of Noise Components. Analytical procedures may be considered when validated by test data to demonstrate limited changes to the basic airplane noise source characteristics or to demonstrate no acoustical change. For type design changes, such as engine or nacelle redesign and acoustic lining changes, a validated analytical noise model may be used to derive predictions of noise increments within approved limitations. The analysis may consist of modeling each airplane component noise source and projecting these to flight conditions in a manner similar to the static test procedures described in paragraph 18 of this AC.

(1) Airplane Noise Components. A model of detailed spectral and directivity characteristics for each airplane noise component may be developed by theoretical and/or empirical analysis. Each noise component should be correlated to the parameter(s) which relates to the physical behavior of the source mechanisms. The source mechanisms, and subsequently the correlating parameters, should be identified through use of other supplemental tests such as engine or component tests.

38 Chap 3 Par 20

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(2) Projection of Airplane Component Noise Sources to Flight Conditions. As described in paragraph 18, an EPNL representative of flight conditions should be computed by adjusting the airplane component noise source for motion, number of engines and shielding, reconstructing the total noise spectra and projecting the total noise spectra to flight conditions by accounting for propagation effects. In some cases adjustments for additional effects on the component noise sources may be required. For example, the effect of changes in acoustic treatment, such as nacelle lining, may be modeled and applied to the appropriate component noise sources.

(3) Noise Increment Computations. The computation of noise increments, the development of the changed version NPD, and evaluation of the changed version certification noise levels should be made using the procedures in paragraph 18(k). The validity of the resulting data base should be determined using an approved methodology. Guidance on confidence interval computations is provided in Appendix 5 of this AC.

21. SUPPLEMENTAL COMPONENT TESTS. Full scale or scale models of components of production hardware can be acoustically tested in a controlled laboratory environment such as a flow duct transmission loss facility, an anechoic chamber or a wind tunnel. Results from scale model component tests should be adjusted to full scale conditions using approved procedures. An example use of approved laboratory facilities is the determination of noise increments, resulting from changes in nacelle acoustic lining, in flow duct transmission loss facilities. These noise increments should be determined by applying the laboratory measured attenuation spectral differences to the measured one-third octave band flight levels.

22. METHODS FOR DEMONSTRATING NO ACOUSTICAL CHANGE. Several noise demonstration methods have previously been limited to use in demonstration of no acoustical change (defined in FAR 21.93(b)). These methods include analytical noise component models and component tests, and the use of noise units other than EPNL, where appropriate, to determine relative differences.

Approval of these methods has previously been confined to no acoustical change demonstrations. For demonstration of no acoustical change, the applicant is not precluded from use of either a noise demonstration flight test or other supplemental ~nise demonstration methods described in this AC.

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**CHAPTER 4. DOCUMENTATION REQUIREMENTS**

23. GENERAL. Documentation is a vital part of the noise certification process. A clear and concise record is necessary detailing where, how, and what tests were conducted, the data analyzed, and the results obtained. Good communication between the applicant and the certificating authorities before, during, and after the testing is desirable.

24. NOISE COMPLIANCE DEMONSTRATION PLAN. At a minimum, a typical noise certification compliance demonstration plan should contain the information shown in the outline below. While the outline covers all types of noise demonstration methods described in the AC, a particular plan should address only those items of interest to an applicant. The plan should list equivalencies anticipated to be needed along with supporting documentation.

NOTE: All plans must be FAA approved and all equivalencies must be identified and any new equivalency not addressed in this AC must be submitted for approval.

a. Introduction. Address planned certification action.

b. Test Item. Airplane, complete with engine and nacelle description, weights, flaps, etc.

c. Type of Noise Demonstration Method.

(1) Noise Demonstration Flight Test.

(2) Supplemental Methods.

(a) Static Test

(b) Flight Test

(c) Analysis

(d) Component Test

d. Test Description. Highlights of the planned test should be noted and any deviations from the procedures described in Part 36 should be identified.

e. Data Acquisition Systems. Type and model of hardware and any devi­ ations from the hardware and procedures described in Part 36 and this AC should be noted.

f. Data Analyses and Normalization Procedures. Highlights of the hardware and methods to be used should be noted. Also any deviations from the procedures described in Part 36 and this AC should be identified. The applicant's reference conditions also should be identified.

g. Equivalencies. All "equivalent procedures" to be considered in this certification should be identified. Any new equivalencies submitted for FAA approval should be supported with adequate engineering analyses and/or test Chap 4 Par 23 41

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data. Requests for approvals of equivalencies should be submitted in a timely manner to provide for review by both regional and AEE personnel. Generally, this takes 30 to 60 days, depending upon the engineering complexity of the proposal.

25. NOISE CERTIFICATION COMPLIANCE REPORT. At a minimum, typical noise certification reports should contain the information shown in the outline below (as applicable to the configuration being certified). It is likely that there will be more than one report for a basic airplane with several derivative configurations.

a. Introduction. Define applicable requirements of Part 36 under which noise certification is requested.

b. Airplane, Engine, and Nacelle Descriptions. Provide the gross dimensions of the airplane (including the engine locations), descriptions of the engine and nacelle acoustic treatments, landing and takeoff weights, thrusts, and flap settings.

c. Airplane Performance at Reference Conditions. For the reference aerodynamic configuration (e.g., airplane weight, flap setting, etc.) provide the aerodynamic performance necessary to derive the certification noise levels. At a minimum, this includes power, height, and airspeed.

d. Certification Noise Levels. Fo~ the reference aerodynamic configuration, provide the certification noise levels and the applicable noise limits for each of the three Part 36 measurement locations.

e. Noise Certification Test Results. Provide details on the results of tests and analyses which demonstrate compliance with the applicable r@quirements of Part 36. The following information should be reported.

(1) Noise Demonstration Method. A description of the type of noise certification demonstration method used.

(2) Test Airplane, Engine and Nacelle Descriptions. The tYPe, model and serial numbers of the airplane and engine used in the test.

d (3) Test Description and Resultant Measurements. A summary of th ~~n uc~ of test, the type of equipment used for measurement and analysis of e nose, airplane position and performance, and meteorological data and representative examples of the acquired data. '

(a) Test Site Description - The test site location, terrain and girtohund codver description, microphone locations, and any events interfering w soun measurements,

(b) Meteorolog~cal Data - Wi d temperature and relative humidity. n speed and profiles of ambient air

(c) Airplane Position and p f gross weight, airspeed, power, and the po:~t~:mnance - Airplane configuration, ~ over the test range.

42 Chap 4 Par 24

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(d) Engine Performance - Engine power settings and thrust, rotor speeds, and engine spool down characteristics (if appropriate).

(4) Analysis Procedure. A summary of the procedures used in the normalization of the measured data to reference conditions for each of the three measurement locations.

(5) Airplane Flight Manual Page (example).

26. DER WITNESS INFORMAL REPORT. In those cases where the acoustic test is witnessed by a Designated Engineering Representative (DER) appointed and acting under the DER Handbook, Order 8110.37, the following information may be required by the FAA (as appropriate) to establish validity or invalidity of the testing in accordance with the test plan. This report should be submitted as soon as practical following the completion of the acoustic flight test or ground test program:

a. Copy of the FAA approved planned test sequence or test plan itemizing conditions that were tested.

b. DER recorded manual notes for each condition and daily test summary.

c. Weather information for each condition.

d. DER observed equipment description, by type, model, and serial number, as appropriate.

e. Recorded miscellaneous DER comments: (1) observed peak and/or average dB, (2) reasons for acceptability or unacceptability of test conditions, (3) observed narrow band analysis results, (4) etc.

f. Reported equipment calibration results.

g. Reported equipment failures, malfunctions, anomalous operation, spurious signals, etc., and corrective action taken.

h. Overall after-the-test summary by DER.

i. Summary of all meetings or negotiations between the applicant, the testing organization, and the DER.

j. Any additional information witnessed by the DER that should be reported in order to establish validity or invalidity of the testing, data reduction/analysis, and certification approval.

k. Plotted examples of measured and corrected spectral values for each of the three measuring locations, together with appropriate time-related (computer) listings, may be necessary for complete data review.

27. NOISE CONTROL ACT FINDINGS. The Noise Control Act of 1972 provides that the FAA, before issuing any original type certificate for any aircraft of any category (except experimental) and regardless of whether Part 36 applies to the aircraft, must determine whether (1) substantial noise abatement cannot be Chap 4 Par 25 43

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1 \ 1 <' ,, .,\ f 1 \ ;{ ; • ·;;.

3/23/88 AC 36-4B achieved for that aircraft by prescribing standards and regulations consistent with the limitations of section 6ll(d), or (2) substantial noise abatement may be so achieved in which case the regulatory process must be used to determine the extent of noise reduction to be required before an original type certificate may be issued. This finding must be made by FAA notwithstanding any delegation to companies or other private persons or procedures for type certificating foreign-manufactured aircraft. It is legally important that these findings be based on actual examination of each type design. This examination must be initiated as soon as possible after the application for type certificate in each original type certification process and reflect noise reduction potentials that become evident during the certification process.

The noise finding documentation is not limited to, but should include:

a. The sources of audible noise, aerodynamic or otherwise, in the particular type design, including any noise measurements made, who made them, whether witnessed by FAA or not, and an estimate as to their reliability.

b. The technical alternatives and means that may be available for reducing such noise, including appropriate recommendations regarding choices of practical technical alternatives which have a potential for reducing noise.

c. An estimate of the expected degree of potential noise reduction associated with each alternative identified in b. above.

d. Investigation and review of the manufacturer's design information, data, and tests.

e. For each noise reduction technical alternative identified in b. above, that is not incorporated in the type design, the economic and technical justification for not requiring that it be so incorporated.

28. AIRPLANE FLIGHT MANUALS. The Airplane Flight Manual (AFM) aboard each airplane must contain (in addition to airworthiness required information) the certificated noise levels and the procedures used to demonstrate those levels. Further, the AFM must describe clearly the type certificate limits, if any, that are established as a result of Part 36 compliance when combined with the airworthiness limitations.

a. General Requirements for Limitation.

(1) An AFM may be issued for a single aircraft or a group of similar aircraft (including more than one series of a specific model). The AFM must clearly identify (by airplane serial number) the operating limitations, including the maximum weight limits, that apply to an airplane.

(2) The AFM may address a single configuration (hardware build) or multiple configurations. If an AFM includes information for more than one configuration (hardware build), the appropriate airplane operating limitations must be clearly identified for each configuration. Furthermore, if not all configurations are approved for the airplanes listed in the AFM, the AFM must clearly identify by serial number, the proper operating limits for each airplane.

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(3) The operating limitations contained in the Limitations Section (including any noise limited weights) must be expressed in mandatory language, not permissive language. The terminology used in the AFM must be consistent with the relevant regulatory language.

b. AFM Maximum Certificated Wei ht Limits. The takeoff and landing weight limits may be categorized structural, customer option, noise-limited, etc.) provided that instructions in the Limitations Section clearly state that the most restrictive takeoff weight limit and landing weight limit of these categories are the maximum certificated weight limits. The Limitations Section may include more than one maximum landing weight limit if those landing weight limits are flap configuration dependent, based on structural, customer option, or noise certification considerations.

c. Multiple Noise Certifications.

(1) Multiple noise-limited gross weight pairs (takeoff and landing) for one configuration are not allowed. Only one set of gross weight limits that pertain to a particular configuration (hardware build) may be established under Part 36 for a particular airplane.

(2) An airplane configuration (hardware build) must be certificated to only a single "Stage" as appropriate under Part 36 (Stage 1, Stage 2, or Stage 3). The Limitations Section of the AFM for that airplane configuration shall not contain operating limits that do not meet the noise certification criteria for Part 36 for the "Stage." However, the Part 36 certification status of an airplane configuration may be amended to reflect another "Stage," if appropriate, provided the AFM is revised for that configuration to reflect this new "Stage" compliance status, and the previous "Stage" approval is deleted.

d. Landing Flap Restriction.

(1) An operating limitation preventing the use of an approved landing flap setting cannot be imposed under Part 36 and must be established under airworthiness requirements or a voluntary design change. If such a restriction is desired in order to comply with Part 36 certification requirements, that flap position is not approved for normal operation.

Reference to emergency use of the restricted flap may be incorporated in the Limitations Section and operational information may be included in the Emergency Procedures Section of the AFM.

(2) For airworthiness purposes, some airplane models have a "softguard," which makes it obvious that the maximum flap setting is not to be used for normal operation and would indicate any use of the unapproved setting by its deformation. This policy is also required by the Transport Category Directorate on all Stage 3 airplanes that fail to comply with the provisions of Part 36 in the "noisiest" landing flap configuration. This is particularly important for STC projects where the basic AFM may not be modified, only supplemented, allowing the unapproved maximum flap performance information to remain intact and available.

Chap 4 Par 28 45

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the (3) In order to approve a design that involves the restriction of original landing flap settings, it is recommended that the following steps be taken in addition to any other requirements:

(a) Where permitted, remove the performance information that is relevant to the unapproved flap setting from the Performance Section of the AFM. (Note that supplemental type certificate (STC) applicants are not authorized to modify the basic AFM.)

(b) If the "unapproved" flap setting remains selectable:

(1) State in the Limitations Section of the AFM that the unapproved flap setting cannot be used except for emergencies.

(ii) Place appropriate placards in the cockpit to prevent use of the restricted flap setting.

a crushable travels, to "f d" has (iii) For Stage 3 airplanes, provide a so tguar, sue cover plate, over the slot in which the flap selector handle restrain normal use of the unapproved flap setting.

e. Optional Engine Thrust Ratings (Derated and Reduced Thrust).

Compliance with Part 36 is only required at full rated takeoff thrust. It is acceptable to establish through the type certification process a derated/reduced thrust that is less than the full rated takeoff thrust. The derated/reduced thrust is not an acoustical change under section 21.93(b) provided that the full rated takeoff thrust remains approved for that airplane. (Nothing herein precludes the use of the Part 36 thrust cutback procedure.)

f. Noise Level Information. The noise levels achieved during the type certification must be included in the AFM and consist of only one takeoff, one sideline, and one approach noise level per configuration (hardware build) for each airplane. The Part 36 "Stage" number should accompany the noise level information to indicate the compliance status, Supplementary information (labeled as such) may be added to the AFM concerning noise levels for other configurations and/or conditions not included in the certification summary.

29. ICAO CERTIFICATIONS. The FAA certificates for noise to the requirements of Part 36. However, some applicants require certification to the Annex 16 requirements published by the International Civil Aviation Organization (ICAO). Unless there is an in-force bilateral agreement which specifically includes noise and emissions certification, FAA participation is dependent upon management determination of the availability of resources. In any event, the FAA does not grant final approval of Annex 16 noise levels. This is the responsibility of the foreign airworthiness authority involved. FAA participation is limited to witnessing the tests and reviewing the data for accuracy. In those cases where Stage 3 has been demonstrated, it is permissible to insert the following statement in the AFM:

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"CERTIFICATION NOISE LEVELS The following noise levels comply with FAR Part 36, Appendix C, Stage 3 noise level requirements and were obtained by analysis of approved data from noise tests conducted under the provisions of FAR Part 36, Amendment 36-12. The test and analysis procedures used to obtain these noise levels are essentially equivalent to those required by the International Civil Aviation Organization (ICAO) in Annex 16, Volume I, Chapter 3.

ICAO Annex 16, Volume I, Chapter 3 approval is applicable only after endorsement by the Civil Aviation Authority of the country of airplane registration."

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Appendix 1 APPENDIX 1. NOISE DATA CORRECTIONS

**FOR TESTS AT HIGH ALTITUDE TEST SITES**

1. INTRODUCTION. Jet noise generation is somewhat suppressed at higher altitudes due to the difference in the engine jet velocity and jet velocity shear effects resulting from the change in air density. Use of a high altitude test site for the noise test of a model that is primarily jet noise dominated should include making the following corrections. The following source jet noise corrections are in addition to the standard pistonphone barometric pressure correction (about 0.3 dB/1000 feet pressure attitude) which is normally used for test sites not approximately at sea level, and applies to tests conducted at sites at or above 1200 feet mean sea level (MSL).

2. JET NOISE SOURCE CORRECTION. Flight test site locations at or above 1200 feet MSL, but not above 4000 feet MSL, may be approved provided the following criteria and source noise corrections are included in the requirements. Alternative criteria or corrections require the approval of AEE.

a. Criteria. Source jet noise altitude corrections from Figure 1-1 are required for each one-half second spectrum when using the integrated procedure and at PNLT spectrum when using the simplified procedure (see section A36~f!(f))applied per the following criteria:

1001--------------, !

!l Ja OI 1 23 Figure 1-1 ~ s1mp11f1ed method 1001 - _, __ ...,. ______ ........

i !i Ja OI O 9 1/3 o,tave Frequency Band Nullber Acoustic An91e - Oe9rets

b. Correction Procedure: An acceptable jet noise source correction is as follows:

(1) Correct each one-half second spectrum (or PNLT one-half max second spectrum, as appropriate) for the test airport altitude using the criteria of para. (a) above and, Par 1 1

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2 AC 36-4B Appendix 1 Where: dis atmospheric density in lbs/ft 3 C is speed of sound in fps U is equivalent relative jet velocity in fps k = 8, unless an otherwise empirically derived value is substantiated Subscript R denotes Part 36 reference conditions:

0 sea level, 77 F, 70% Subscript~ denotes test site): MSL altitude, VaTES.T U = Ve - Va, where:

RH, RNlTEST' VaREF conditions at test airport 0 ISA+lO, 70% RH, RNlTEST' (or 3/23/88 Ve is the equivalent jet velocity as defined in SAE ARP-876C, Appendix C (May 1983) and obtained from the engine cycle deck in fps Va is aircraft velocity in~ RNl is corrected RPM (N1/-y0T 2)

(2) For each one-third octave band SPL, arithmetically add the altitude jet noise correction (Item (1)) to the measured SPLs to obtain the altitude source jet noise corrected SPLs for section B36.3(a) Step 1, of Part 36.

(3) The above altitude correction is to be applied to all measured test data including approach conditions (unless it can be substantiated that the jet noise during approach does not contribute significantly to the total aircraft noise).

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**APPENDIX 2. GUIDANCE MATERIAL ON METHODS TO ACCOUNT FOR THE EFFECTS**

**OF BACKGROUND NOISE ON AIRPLANE RECORDED NOISE DATA**

**1. INTRODUCTION.**

a. The following information on methods for removing the effect of background noise on measured recorded airplane sound pressure level data is provided as guidance material for the certificate applicant.

b. Sound measurement and analysis system dynamic range performance limitations can result in measured sound pressure levels that are influenced by the presence of background noise. This problem occurs primarily at high frequencies where airplane noise source characteristics and atmospheric absorption result in low one-third octave band sound pressure levels relative to those of the lower frequency portion of the spectrum.

c. The influence of background noise on recorded sound pressure level data may be unavoidable and, in some instances, correction of recorded sound pressure level data may be required.

d. The application of the data correction methods presented in this guidance material will provide an acceptable estimate of sound pressure level data that would have been measured in the absence of background noise.

Approval for the use of other correction procedures may be requested by certificate applicants, and approval for the use of any procedure remains with the certificating author~ty.

**2. BACKGROUND NOISE.**

a. The lowest level of true airplane sound pressure levels measured during a flyover test may be limited by background noise. Background noise is established by the test site ambient sound and electrical noise of the measurement system (predetection noise). The predetection ambient sound will add, on an energy basis, to the true aircraft noise. In addition, the dynamic range of the analysis equipment may establish the lowest possible readout value for any one-third octave band level (post detection background noise).

b. The background noise level is defined as the mean predetection level or the post detection level, whichever is the greater. For the purposes of the corrections described in this appendix, the background noise level is defined as the mean predetection level plus 3 dB, or the post detection level plus 1 dB, whichever is greater.

c. The ambient sound and electrical noise of the measurement system should be determined in accordance with requirements of Part 36 and this AC.

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AC 36-4B Appendix 2

**3. CORRECTION PROCEDURES.**

a. Where the airplane sound pressure level is greater than the background noise level, the true airplane sound pressure level may be estimated by subtracting, on an energy basis, the predetection level from the total measured sound pressure level. No correction for post detection noise is required if measured sound pressure levels exceed the post detection noise level.

b. Where measured sound pressure levels are equal to or less than the background noise level, the airplane sound pressure levels are defined as being masked.

c. When the tone is not masked and if no more than the four highest frequency one-third octave bands within one second of PNLTmax are masked, use the frequency extrapolation method below.

d. If more than the four highest frequency one-third octave bands are masked, then the sound pressure levels for the masked bands may be determined by applying one or more of the correction procedures described below.

e. Time Extrapolation (7-12 bands).

(1) This procedure can be applied to measured data where more than seven but less than twelve of the highest one-third octave bands are masked during only a portion of the sound measurement period.

(2) Corrections in the time domain are made by taking into account propagation distance (spherical divergence and atmospheric absorption) relative to the first (approaching) or last (receding) unmasked sound pressure level measurement in the one-third octave band requiring correction. Source directional characteristics in each masked frequency band may be assumed to be:

(a) Directional, as supported by test data, or

(b) Omnidirectional.

Note: Preference should be given to test data.

f. Frequency Extrapolation (4-7 bands). Sound pressure levels in each of up to seven masked high frequency one-third octave bands may be estimated by extrapolating the highest unmasked frequency band by an amount equal to the sum of source spectrum slope and the atmospheric absorption in each frequency band along the sound propagation path from source to measurement location.

The source high-frequency spectrum slope is defined by:

(1) the missing portions of the spectrum shall be assumed to have at the source the decibel value of the highest valid one-third octave band; or 2 Par 3

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Appendix 2

(2) a slope supported by test data, acquired from closer-in microphones or static engine noise measurements.

Note: Preference should be given to test data.

g. In those cases where masked band(s) occur between unmasked bands, the measured sound pressure levels in the masked band(s) should be used, or other values as supported by applicant's data. In the case where one masked band is located between two unmasked bands, the mean value of the adjacent unmasked bands may be ascribed to the masked band, if this mean value is lower than the measured level in the masked band.

h. No penalty for spectral irregularities resulting from the correction procedure is ascribed to those masked frequency bands that have been corrected for the effects of ambient noise, provided that it can be shown that no engine tone occurred in the masked bands.

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Appendix 3 APPENDIX 3. GUIDANCE MATERIAL ON METHODS TO IDENTIFY-PSEUDOTONES/

**FICTITIOUS TONES IN AIRPLANE RECORDED NOISE DATA**

**1. INTRODUCTION.**

a. The following information on methods for identifying pseudotones/ fictitious tones in airplane sound measurements is provided as guidance material for the cert:r.ficate applicant.

b. Airplane sound measured at 1.2 m (4 ft) above the ground should be composed of broadband noise superimposed with spectral irregularities. The spectral irregularities may be caused by actual airplane/engine tones, ground plane reflections or atmospheric propagation effects. In addition, spectral irregularities may be artificially created by data processing techniques which account for ambient sound and atmospheric absorption corrections.

c. The application of a tone correction factor in the computation of EPNL accounts for the subjective response due to the presence of pronounced spectral irregularities. Tones generated by airplane noise sources constitute the spectral irregularities requiring application of tone correction factors.

d. The application of pseudotone/fictitious tone identification methods presented in this guidance material should provide an acceptable means of identifying spectral irregularities not requiring application of tone correction factors. Approval for the use of other correction procedures may be requested by certificate applicants and approval for the use of any procedure remains with the certificating authority.

**2. SPECTRAL IRREGULARITIES.**

a. Discrete frequency tones generated by airplane noise sources set the measured spectral irregularities requiring application of tone correction factors.

b. Spectral irregularities occur in data measured at 1.2 m (4 ft) due to interference effects caused by the reflection of sound from the ground surface. These ground reflection effects, known as pseudotones, are most pronounced at low frequencies. Any other spectral irregularity not related to aircraft noise sources, such as those caused by atmospheric propagation effects, are termed fictitious tones. Spectral irregularities producing fictitious tone correction factors may result from corrections applied to the measured sound pressure level data due to:

(1) masking of sound pressure levels, or

(2) differences between test and reference sound attenuation in the

4.0 kHz and 5 kHz one-third octave bands (as prescribed in SAE ARP 866A).

Neither fictitious tones or pseudotones are related to aircraft noise sources and, therefore, need to be identified so that tone correction factors are not applied.

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AC 36-4B Appendix 3 3/23/88

c. Pseudotones in the 800 Hz and lower one-third octave bands may be excluded from the calculation of corrections for spectral irregularities. To qualify for this exclusion, the pseudotones should be clearly identified using one of the methods outlined below. Pseudotones at frequencies above 800 Hz generally should not yield significant tone corrections. However, for consistency, each tone correction value should be included in the computation for spectral irregularities.

d. If fictitious tones are identified (using one of the methods outlined in paragraph 3), a revised value for the background sound pressure level should be determined and used to compute a revised tone correction factor for that particular one-third octave band.

**3. METHODS FOR IDENTIFICATION OF PSEUDOTONES/FICTITIOUS TONES.**

a. Narrowband Analysis. By analyzing the measured data using a filter with a bandwidth narrower than one-third of an octave, the presence or absence of airplane or engine generated discrete frequency tones may be determined.

b. Frequency Tracking of Spectral Irregularities During the Flyover.

Because of Doppler shift, the observed frequencies of airplane noise sources progressively decrease as the airplane approaches the point of acoustic overhead and then continue to decrease as the airplane moves away from overhead.

f f Doppler shifted= source where f = frequency M = Mach number 1 -M cos 6 9 = angle between the flight path and a line connecting the source and observer at the time of noise emission.

Ground reflection effects on the spectra also decrease in frequency as the airplane approaches the acoustic overhead; however, in contrast to the Doppler shift effect, the ground reflection effects increase in frequency after overhead. These differing characteristics can be used to separate source and reflection effects. An effective method of presenting this information is shown in Figure 1.

c. Microphone Arrangement. Pseudotones may be identified by comparing measurements from 1.2 m (4 ft) microphone with corresponding data from an adjacent microphone which is:

(1) mounted near (within one-half microphone diameter or one-quarter wavelength of the highest frequency to be recorded, whichever is least) a hard reflecting ground surface, or 2 Par 2

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(2) raised to a height above the ground surface so that the first interference dip falls below the range of interest (50 Hz). Microphones at 10 m (33 ft) have been used.

Using either microphone arrangement eliminates the interference irregularities from the low frequency range of the measured spectra and when a comparison is made between the two data sets, airplane source tones can be separated from any pseudotones that may be present.

d. Inspection of Noise Time Histories. Spectral irregularities which produce fictitious tone correction factors will usually occur in the 1 kHz to 10 kHz frequency range. Depending upon the variation with frequency of the tone correction calculation procedure, the magnitude of these tone corrections typically ranges from 0.2 to 0.6 dB. PNL and PNLT time histories with constant level differences indicates invalid fictitious tone corrections.

This analysis may be supplemented by narrowband analysis to demonstrate that these characteristics do not result from the Doppler shift effect.

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II.! 36-4B Appendix 3 iii _, C ~ i -A:: C "' z ::;

w A:: :::, I "' A:: A.

~ ! § 4 FIGURE 1 3-D SHADOWGRAPH SHOWING PSEUDOTONES (CURVED LINES)

**CAUSED BY GROUND REFLECTION INTERFERENCE**

**AND ACTUAL ENGINE TONE (STRAIGHT LINE) 16 ..**

. 12 ., ! 10 z 8 "' 8 ,n IJ' :IE .: 6 4 !,' \ 2 0 0 1 2 3 FREQUENCY, 1000 Hz 3/23/88 ": .

4 5 Par 3

### Page 60

**3/23/88 APPENDIX 4.**

AC 36-4B Appendix 4

**COMPUTATION OF EFFECTIVE PERCEIVED NOISE LEVEL (EPNL)**

1. EPNL should be computed by the methods prescribed in Part 36, Appendix B.

In the computation, noise having pronounced spectral irregularities should be adjusted by a tone correction factor (see section B36.5). An approved tone correction factor may be determined from the sound pressure level differences (f(i,k)) and Table 1. All other procedures in the computation of EPNL are the same as Part 36, Appendix B.

-~ - Par 1 Appendix 4 TABLE 1 - TONE CORRECTION FACTORS 6 500 Hz , f ~ 5000 Hz or 5000 < f' 10000 oiL-.J:.:__~""'s--------~10~----~,1~s--------t,za;--------1i2sr" LEVEL OlffERENCE f (dB} FREnUENCY f (Hz} LEVEL OIFfERENCE TQNE CORRECTION f (dB) C (dB} 50' f < 500 O<f'<l.S 0 or 5000 <. f' l 0000 1.5' F ~ 3.0 (F -1.5)/3

3.0 < F < 20.0 F/6

20.0 ~ F 3 1/3 500, f ~ 5000 O<f'<.1.5 0

1.5,F4'3.0 (2F - 3) /3

3.0 < f' < 20.0 F/3

20.0 ,1' F 6 2/3 1 (and 2)

### Page 61

1. ~at '!be use of BPD maps requ.1.res confidence intervals to l>e determined. using a rmre general fo:rnu.lation than used for a cluster of data points. For this zoore general case, confidence intervals should be calculated. al>out a regression curve for fli,tlt test data and for static test data. 'lbese confidence intervals mould be used 1n calcµlati.n, the confi<1ence intervals for the pooled data sets that constitute HPD maps.

2. cx::fiFIIECE I:tll'mVAL FOR 1niE MEAN OF CLUS'lliRED ~ Let L : data (EP.NL) H = :rn.m:>er of data points K = order of regression curve

(k. = o for clustered data) v = degrees of freedom = H - K - 1 t = Student's t distribution for 90 percent confidence interval and v degrees of freedom for exanple:

t = 2.015 for H = 6 (v = 5) t = 1. 6,ij-5 for N: infinity

t. (mean) = ----- H H -2 ::IE: (L - L) 1 l r I H I"~ L.2 - I Lit L K 1 H I ( ~ LL )2· l s (stan<Sard deviation) = ----- = r --------- I I j N-1 s CI (con£1d.ence interval) : ± t ---- ~ Par 1 1 L N(H-1) 1

### Page 62

AC 36-4B Appendix 5 3/23/88 2

3. CX>HFII>mCE I:tmllWAL -~ A MEAN RmRESSIOH CURVE.

'!be general exp:-ess1on for a regression curve ne.y be written as:

EPNL: cio + a1X + azx2 +. • • • ~xk Where EPNL: noise level X = parameter such as WR, RPM. altitude, etc.

a= coefficients for the regression curve k = polynomial order 0£ regression curve de-fine: AEPHl. = difference between regression curve and individual data point (X constant) N = number of data points v = degrees of freedom = N - k -1 t = students t distribution for 90 percent confidence interval EPNL0 , X0 = a particular point on the regression curve CI0 = confidence interval for a particular point For a linear (k = 1) regressioni the equation is as follows:

Note:

2 N 2 ~ (AEPNL)2 (Xo - X)2 1 CI0 : ± t -+ N-K-1 N N ~ (X. - X)2 L N L X 1 L "4l.ere X :

N

k. is normally limited to K = 2. K = 3 may :be approved When there 1s a :i;nysical basis for that polynomial order of curve fit.

Par 3

### Page 63

-3123/88 AC 36-4B Appendix 5 For a higher order regression curve, a particular EPm..0 is:

EPHLo = 8o + a1Xo + a2Xo2 + •• + ~Xol<.

For higher order regression curves, the regression coefficients are usually calculated using conputer-matrix solutions, since there are many terms.

Defining the vectors: x' : [ 1 X x2. 0 0 0 a row vector Xo = r 1 1 I X~ I I X I a colum vector I • I I I I . I L x~ .1 and #-A-1 = the var1ence-covar1ence matrix for the ~ values 'lben the 90 percent conf1dence interval £or a particular noise level, EPm..0 , on a regression curve of EPNL vs. X is:

CI0 = ± t N-X:-1 Par 3 3

### Page 64

AC 36-4B Appendix 5 4 ..I z ~ Ill ..I z ~ Ill ,oo " " 97 H to 94 .., 92 t1 to et "' llf7 N so Cl4 c,;, IS2 cs, IIO 79 110 108 10C5 104 102 100 tel H 14 92 to "' 156 114 IS2 GO n, 3/23/88 Linear Example 2 2., ~ho111i:1ndl) :z.;, 2.4 NI C N~on -o Quadratic Example 2 -Q Par 3

### Page 65

Appendix 5 .!!. OONFIDEMCE ImERVAL FOR POOLED DATA SEIS.

'Ihe confidence interval for pooled data sets may be calculated as follows. For exanple, for three data sets (flight test data and two

d.1.fferent static tests) - each with its own confidence interval:

1s:

let zz1 = (Cli/ti)2 (square of the confidence interval without the Student's t term for each data set) then for tbree data sets, the confidence interval for the pooled data where t' = 5, REFERENCES Par 4

(a) Kendall, M. G. and Stu.art, A. 1 'Ihe AdVanced 'Iheory of Statistics, Volurres 1 and 2, Hafner, New York, 1973.

(b) Yule, G. U. and Kendal 1, H. G., An Introduction to the 'Iheory of Statistics, 14th ed, Griffin, New YorK, 1950.

(c) Walpole, R. E and Myers, R. R, Probability and Statistics for Engineers and Scientists, MacMillan, New YoeK, 1972,

(d) Cochran, W. G., "Approximate Signi£icance Levels of the Behrens-Fisher Test," Biometrics, 20, 191-195, 1964.

(e) Snedecor, G. W. and Cochran, W. G., Statistical Methods, 6th ed., Iowa State University Press, .Arres Iowa, 1968.

### Page 66

AC 36-4B Appendix 5 6 3/23/88 Table 5-1 STUDENT'S t DISTRIBUTION FOR 90 PERCENT CONFIDENCE INTERVAL Degree of freedom (V) t 1 6.314 2 2.920 3 2.353 4 2.132 5 2.015 6 1.943 7 1.895 8 1.860 9 1.833 10 1.812 12 1.782 14 1.761 16 1.746 18 1.734 20 1.725 24 1.711 30 1.697 60 1.671 00 1.645 Par 5

•U.S. GOVERNMENT' PIJNTlNC OlflCE, 1 t t 2 •3 12 ·, 17/5ss96

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