Isotropic layered soil–structure interaction caused by stationary random excitations

Soil–structure interaction emanating from seismic stationary random excitations is studied using the pseudo-excitation method in combination with the precise integration method. The soil considered is a viscoelastic, transversely isotropic and layered half space and the structure which it supports is modelled by the finite element method. The excitation sources are random field ones that are stationary in the time domain and are located in the soil. The pseudo-excitation method is used to transform this stationary random soil–structure interaction problem into a series of deterministic harmonic response analyses and the precise integration method is used to integrate the ordinary differential equations in the frequency–wavenumber domain. The power spectral densities of the soil–structure interaction responses caused by the stationary random excitations are investigated.