A calculation method has been produced for the propagation of vibration in
the ground from a stationary oscillating load applied via a railway track s
tructure. The model includes the track as an infinite layered beam structur
e resting on a ground made up of infinite parallel homogeneous elastic laye
rs. These layers may either be constrained at the lower interface or couple
d to an elastic half-space. A similar model, based on wave propagating fini
te elements, has previously been shown to be useful in predicting the behav
iour of real soils and railway tracks, but the applicability of that model
was limited by long computation times. The present method is more efficient
in calculating the responses at a large number of positions. The developme
nt of the theory allows analysis in terms of the amplitudes of different wa
ve types propagating along, and normal to, the track. Example calculations
are presented for a ground consisting of a layer on a half-space. By changi
ng only the depth of the layer, two different wave propagation regimes are
found, the first where propagation takes place via modes of the layer and t
he second, where propagation takes place via the bulk waves in the layer an
d the Rayleigh wave in the substratum. Both examples show the track structu
re to have a strong effect on the directivity and amplitude of the response
of the ground surface. (C) 1999 Academic Press.