Infinite boundary elements for the dynamic analysis of machine foundations

This paper describes an inÞnite boundary element technique for the dynamic analysis of three-dimensional machine foundations. The core region is modelled with quadratic elements while inÞnite boundary elements are used to discretize the unbounded far-Þeld 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. E¤ective integration schemes for oscillatory integrals have been developed. Illustrative examples are presented in order to demonstrate the applicability and accuracy of the proposed inÞnite boundary element