High-frequency response analyses of machine foundations

This paper describes a rigorous boundary element solution of the high-frequency response of machine foundations. Infinite boundary elements are used in the halfspace model to discretize the unbounded far-field outside the immediate vicinity of the loaded area, coupled with the full-space fundamental solution for harmonic point loading. The dynamic decay function assumed in the analysis is based on Rayleigh wave attenuation away from the centre of the foundation. Integrals over the infinite boundary elements are computed between successive zeros of the integrand and an Euler transformation has been used to accelerate this slowly convergent procedure. Illustrative results for square foundations, for dimensionless frequencies up to ten, are presented in order to illustrate the potential of the formulation.