  We consider the dynamics of an elastic beam which is clamped at its left end
to a vibrating support and which can move freely at its right end between two
rigid obstacles (the stops). We model the contact with Signorini's
complementary conditions between the displacement and the shear stress. For
this infinite dimensional contact problem, we propose a family of fully
discretized approximations and their convergence is proved. Moreover some
examples of implementation are presented.
