The transmission of vibrations in the vicinity of a rectangular harmon
ic vertical load, acting on a damped elastic layer overlying a damped
elastic half-space of different material, is investigated theoreticall
y, by using a semi-analytical approach. The solution involves a double
Fourier transform with respect to two of the space variables of Navie
r's elastodynamic equations. The inverse double Fourier transform is a
chieved with the FFT algorithm. Results presented include transformed
displacements in the wavenumber domain, actual displacements in the ne
ar field of the load, and the direct receptance at the load. Compariso
ns are made with results for a half-space and a layer over a rigid fou
ndation, and with some experimental results. (C) 1998 Academic Press L
imited.