K. L. Kuttler, A. Park, M. Shillor and W. Zhang,
Math. Comput. Modelling, 34(2001), 365 - 384.

Abstract. Dynamic unilateral contact between two beams is investigated.
The contact is modeled with the Signorini or normal compliance conditions. The
model is in the form of a variational inequality for which existence theorems are
established. A numerical algorithm for the problem is obtained by using the
method of lines, in which the problem is approximated by a system of ordinary
differential equations. Simulation results when one of the beams is driven periodically
are presented. The characteristics of vibrations transmission across the joint
between the beams are numerically investigated.