Ground surface response of viscous-elastic half-space due to high-speed moving loads of different depths

This paper analyzes the response of an infinite viscous-elastic half-space excited by the moving loads of different depths. To obtain the two-dimensional analytical solution of the viscous-elastic half-space due to the moving loads of different depths, the Laplace transformation and relative coordinate transformation were utilized. Then, two-dimensional infinite integration was calculated by employing the inverted fast Fourier transform and coordinate transformation to improve the operational efficiency. Further, the effects of different depths and different velocities on the surface response were analyzed. It is found that the significant asymmetry of displacement appears when the moving loads exceed the super-Rayleigh wave velocity on the surface.