Infinite boundary elements for the dynamic analysis of machine foundations

This paper describes an infinite boundary element technique for the dynamic analysis of three-dimensional machine foundations. The core region is modelled with quadratic elements while infinite boundary elements are used to discretize the unbounded far-field outside the immediate vicinity of the loaded area. The dynamic decay function assumed in the analysis is based on Rayleigh wave attenuation away from the centre of the foundation. Effective integration schemes for oscillatory integrals have been developed. Illustrative examples are presented in order to demonstrate the applicability and accuracy of the proposed infinite boundary element.