Solvability for a dynamical beam problem on a frictionally damped foundation under a moving load

This paper deals with a dynamic Euler-Bernoulli beam of infinite length subjected to moving concentrated Dirac mass. The relies on foundation composed continuous distribution linear elastic springs associated in parallel uniform Coulomb friction elements and viscous dampers. problem is stated distributional form, the existence uniqueness results are established by means combination $ {\rm{ L}} ^\infty$–$ {\rm{L}}^2 $–$ {\rm{L }}^1$ estimates together monotonicity argument. Traveling wave solutions studied detail case without friction, they shown be globally exponentially stable under positive damping.