Vibrations of a multi-span beam subjected to a moving stochastic load

Abstract

The dynamic behavior of multi-span uniform continuous beam excited by moving stochastic load is studied. In this paper we consider two models of moving load, namely: load described by space-time stochastic process and random train of concentrated forces moving with constant velocity. It is assumed that forces have random amplitudes and their appearance on the beam is described by point stochastic process (Poisson process). Solution of the problem in terms of expected values, variances and cumulants of the higher order (for the second case of load) was obtained by introducing dynamic influence function. In determination of the dynamic influence function Volterra integral equations was applied. Solution is illustrated with two numerical examples of 2- and 3-span beam.