Suggestions:

Stiffen OR loosen the mount as necessary to move the natural frequency of vibration for the camera/mount away from the excitation frequency bandwidth.

The camera mount or camera extension is likely a cantilever. Use a snubber at the free end of the cantilever (likely top or front of camera) to deaden vibration at this point. The strut for the snubber structure would need to be a very solid and rigid.