The solo student pilot reported that, during landing, as the nosewheel touched the runway, he felt a "strong vibration" and the airplane veered left. He tried to correct by pulling back on the yoke, but the airplane became airborne and continued left. The airplane impacted an adjacent ramp area to the left of the runway. Examination of video surveillance revealed that the airplane landed and shortly after veered to the left. The airplane then became airborne, aerodynamically stalled, the left wing dropped and impacted the ramp. The airplane sustained substantial damage to the left wing. The manager reported that there were no preaccident mechanical failures or malfunctions with the airplane that would have precluded normal operation. The automated weather observation station located on the airport reported that, about 36 minutes before the accident, the wind was variable at 3 knots. The same automated station reported that, about 24 minutes after the accident, the wind was variable at 5 knots. The pilot was landing the airplane on runway 25.