Abstract
A method of analysis for the solutions of transient wave propagation in an infinite thick plate on elastic foundation is developed in terms of eigenfunctions depending on the Fourier integral transforms. The Winkler assumption that the reaction forces of the foundation are proportional at every point to the bottom bounding displacements of the plate touching the foundation is taken here. The time history of displacements and stresses representing the head of the disturbance are evaluated as transient wave propagation corresponding to different speeds of concentrated moving loads that are suddenly applied at the free surface of the plate standing still initially.