Y. Dumont and M. Shillor,

Abstract. We present numerical simulations of vibrations of an elastic
beam between two stops. The beam is clamped at one end to a vibrating
device; the motion of the other end is restricted by two stops. The contact
is modeled by the normal compliance condition which describes nonlinear flexible
stops, and approximates the Signorini condition for rigid stops. We use a finite
difference scheme for the numerical approximations of the behavior of the
model. The numerical simulations indicate that the stops may cause very
complicated oscillations. We also use FFT to describe the noise characteristics
of the system.