What happened
The FAA’s narrative, in sentence case. The FAA writes it in capitals and removes private details.
Narrative: after initial t.o. during gear retraction a loud snapping noise was heard from within the nose gear area. The main gear retracted, however the nose would not retract. Several attempts were made and each time only the main gear would retract and the gear motor c.b. tripped. The nose gear would neither lock in the down position or stay in the retract position. The PIC elected to land with the MLG up, resulting in minor damage to the belly and no damage to the props or engines. The investigation revealed that the nose gear linkage bell crank (p/n 0842102-2) had failed. Cause of failure was due to the nose gear strut being-over serviced with hydraulic fluid and no nitrogen in the strut. This resulted in the strut not fully extending after lift-off and the lower part of the strut interfering with the gear door linkage during retraction. Note that the strut did not appear flat during preflight as it was overserviced with fluid. Records research revealed no evidence of previous nose gear strut problems or servicing of the nose gear strut.
As the FAA filed it
NARRATIVE: AFTER INITIAL T.O. DURING GEAR RETRACTION A LOUD SNAPPING NOISE WAS HEARD FROM WITHIN THE NOSE GEAR AREA. THE MAIN GEAR RETRACTED, HOWEVER THE NOSE WOULD NOT RETRACT. SEVERAL ATTEMPTS WERE MADE AND EACH TIME ONLY THE MAIN GEAR WOULD RETRACT AND THE GEAR MOTOR C.B. TRIPPED. THE NOSE GEAR WOULD NEITHER LOCK IN THE DOWN POSITION OR STAY IN THE RETRACT POSITION. THE PIC ELECTED TO LAND WITH THE MLG UP, RESULTING IN MINOR DAMAGE TO THE BELLY AND NO DAMAGE TO THE PROPS OR ENGINES. THE INVESTIGATION REVEALED THAT THE NOSE GEAR LINKAGE BELL CRANK (P/N 0842102-2) HAD FAILED. CAUSE OF FAILURE WAS DUE TO THE NOSE GEAR STRUT BEING-OVER SERVICED WITH HYDRAULIC FLUID AND NO NITROGEN IN THE STRUT. THIS RESULTED IN THE STRUT NOT FULLY EXTENDING AFTER LIFT-OFF AND THE LOWER PART OF THE STRUT INTERFERING WITH THE GEAR DOOR LINKAGE DURING RETRACTION. NOTE THAT THE STRUT DID NOT APPEAR FLAT DURING PREFLIGHT AS IT WAS OVERSERVICED WITH FLUID. RECORDS RESEARCH REVEALED NO EVIDENCE OF PREVIOUS NOSE GEAR STRUT PROBLEMS OR SERVICING OF THE NOSE GEAR STRUT.