As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
RDU - INFLIGHT T583/22 STRONG VIBRATION FROM NOSE GEAR ON TAKEOFF JUST AFTER GEAR RETRACTION. RETURNED TO RDU AND LANDED WITHOUT INCIDENT. FOUND SHEARED BOLT ON UNLOCK HANDLE ON GEAR DOOR. REPLACED LEFT GEAR DOOR LINKAGE AND ADJUSTED LEFT AND RIGHT LINKAGE. SYSTEM GROUND CHECKED NORMAL OPERATION.