Impact of a random moving load on an infinitely long beam that rests on a solid, nonlocally vicsoelastic foundation

Abstract

The problem of the motion of a load at a constant velocity over an infinitely long beam that rests on a solid, nonlocally viscoelastic foundation is investigated. The load is considered to be a Gaussian random homogeneous function of the longitudinal coordinate with a constant mathematical expectation. The influence of the nonlocality and viscoelasticity characteristics of the foundation on the value of the critical velocity of the load and the root-mean-square variance in the deflection of the beam has been analyzed.