In-plane soil-structure interaction excited by incident plane P waves

Abstract

The subject of in-plane soil-structure interaction of a shear wall on a rigid circular foundation embedded in a linear elastic half-space under an incident plane P wave is revisited. It is known that satisfying the zero stress condition on the ground surface has been the major obstacle when developing an analytic solution of this model. Early solution procedures approximated the ground surface by the surface of a large cylinder. In this paper, two sets of closed-form solutions are derived based on the new approaches: one approach neglects the boundary conditions on the ground surface, while the other includes all boundary conditions by means of the weighted residue method. The objective of this work is to study the relative importance of these boundary conditions and evaluate the results generated from these two solution procedures. Foundation and building responses, as well as surface displacement and stress are compared for the two solutions and to previously published approximate solutions.