Moving Loads on a Plate on Elastic Foundation

Abstract

The dynamic response of an infinite plate on an elastic foundation subjected to constant amplitude or harmonic moving loads was investigated. The advance velocity was assumed to be constant. Formulations were developed in the transformed field domain using: (1) a double Fourier transform in space and moving space for moving constant loads; (2) a triple Fourier transform in time, space, and moving space to include the initial application of the load for moving harmonic loads; and (3) a double Fourier transform in space and moving space for the steady-state response to moving harmonic loads. The effects of velocity, load frequency and damping on the deflected shape, and the maximum displacement were investigated. The critical (resonant) velocities and frequencies were obtained by analyses, and expressions to find them were suggested. The effect of multiple loads on the maximum displacement was also investigated. The variation of the maximum dynamic displacement was affected by the distances and the differences in phase between the loads.