THE PILOT SAID THAT WHILE BEING VECTORED ON FINAL APPROACH ABOUT 5 MILES OUT, THE AIRCRAFT DEVELOPED A SEVERE VIBRATION. AN EMERGENCY WAS DECLARED AND A LANDING WAS ATTEMPTED ON THE AIRPORT. THE AIRCRAFT LANDED SHORT OF THE RUNWAY WHICH RESULTED IN SUBSTANTIAL DAMAGE. POST ACCIDENT INVESTIGATION REVEALED FAILURE OF THE PITCH CHANGE KNOBS ON ONE PROPELLER BLADE.