Surface wave-structure interaction is studied starting from a specialised approximate
formulation involving a hyperbolic equation for the Rayleigh wave along with
pseudostatic elliptic equations over the interior of an elastic half-space. The validity
of the proposed approach for modelling a point contact is analysed. Explicit
dispersion relations are derived for smooth contact stresses arising from averaging the
effect of a regular array of spring-mass oscillators and also of elastic rods attached to
the surface. Comparison with the exact solution of the associated plane
time-harmonic problem in elasticity for the array of rods demonstrates a high
efficiency of the developed methodology.
Keywords
Rayleigh wave, approximate model, array of oscillators,
soil-structure interaction