On the steady state solution of a Euler–Bernoulli beam under a moving load

Abstract

This paper focuses on a steady state solution of a Euler-Bernoulli beam under a moving load, on a foundation composed of a continuous distribution of linear elastic springs associated in parallel with a continuous distribution of Coulomb frictional dampers. The motion of the beam is governed by a partial differential inclusion. Under appropriate regularity assumptions on the initial data, the problem possesses a weak solution which is obtained as the limit of a sequence of solutions of regularized problems