Boundary Element Analysis of the Steady-state Response of an Elastic Half-Space to a Moving Force on its Surface

The paper deals with the boundary element method formulation of the steady-state wave propagation through elastic media due to a source moving with constant velocity. The Greens' function for the three-dimensional full-space is formulated in a local frame of reference following the source. This is appropriate for the analysis of, for example, ground borne noise from railway or road traffic. The frequency-domain fundamental solution is derived from corresponding time-domain solution by means of Fourier transformation. To obtain a closed form solution, a part of the time-domain kernel functions is approximated, but the error which is introduced in this way is insignificant. Numerical examples are given for a moving rectangular load on an elastic half-space. The result from a boundary element code based on the derived Green's function are compared with a semi-analytic solution.