Asymptotic Behavior of the a Thermoelastic Beam Between two Stops

A one-dimensional initial-boundary value problem for a thermoelastic beam that is clam- ped at one end and moves freely between two obstacles at the other, is studied using a method of functional analysis. The boundary conditions at the free end are represented either by classic Signorini's conditions or a normal compliance condition. The main result is that the energy associated with the system decays exponentially as time goes to in¯nity. Numerical examples are included. Re