Tables of impedance functions for square foundations on layered media

Abstract

Tables of horizontal, coupling, rocking, vertical and torsional impedance functions for a rigid massless square foundation resting on two types of layered viscoelastic soil models are presented. The first soil model corresponds to a uniform layer overlying a uniform half-space. The second soil model corresponds to a layer with linearly varying properties overlying a uniform half-space. The numerical values presented cover a wide range of frequencies and include two Poisson's ration combinations, three values for the contrast between layer and half-space and five values for the ratio of layer thickness to foundation width. The tabulated values should be of use in studies of soil-structure interaction and vibrations of machine foundations.