The A320 commonly suffers from Airframe Vibration, there is a troubleshooting pro forma in the trouble shooting manual to give to Pilots to complete and aid diagnosis. It is typically felt in the aft cabin, although the cause can be far removed. Typical, common, causes are play in one of the rudder PCAs (actuators), Play in one of the Elevator Actuators, and play in the nose undercarriage doors, particularly the aft ones. The list goes on, but to summarise, it’s not unusual – cue for a song!