Based on three-dimensional elasticity theory, the Laplace transform was firstly applied to the dynamic equations of ground represented by displacements, and then the Fourier transform was applied twice to obtain the analytical expression of displacement in Laplace transform domain for the elastic half-space under arbitrary dynamic loads in the rectangular coordinate system. Secondly, the Laplace transform was applied to the boundary value problem of the limited-size thin plate on the ground, so that the analytical solution of deflection expressed with ground reaction forces in the Laplace transform domain of plate can be achieved. Finally, in combination with the deformation compatibility equations of plate and ground, the analytical solution in the Laplace transform domain of plate on the elastic half-space under a moving load can be obtained. Furthermore, the dynamical responses in the time domain of the plate were obtained using the numerical inversion of Laplace transform. The example results show that the proposed method is practically feasible, and with the method proposed in this study, the dynamic characteristics of plate on the elastic half-space under arbitrary moving loads can be accurately analyzed.
