What was found
AIRCRAFT WAS GROUNDED: CLIMBING THRU FL340 ENCOUNTERED SIGNIFICANT AIRFRAME VIBRATION FOLLOWED BY ODOR IN THE COCKPIT AND CABIN. ENGINE #2 N1 AND N2 ERATIC WITH LOSS OF THRUST AND HIGH ENGINE VIBRATION. SECURED ENGINE 2 BY FOLLOWING CHECKLIST. AFTER ENGINE WAS SECURED, VIBRATION AND ODOR STOPPED. AFTER POST FLIGHT NOTED FAN BLADE, SPINNER AND INNER COWLING DAMAGED ON #2 ENGINE. EMERGENCY DECLARED AND DIVERTED TO MEM. REMOVED AND REPLACED #2 ENGINE PER MAINTENANCE CHECK CARD 08L40072003.