Seismic Response of Two Foundations on an Elastic Half Space : Part 1. Formulation of the Problem

In this paper, the dynamic interaction between two foundations on an elastic half space subjected to propagating seismic waves is investigated analyticaly. The first Fredholm's integral equation is obtained using the Green's function (the solution to be obtained by Lamb) and solved using the Galerkin's approximation method. That is, the stress distributions under two foundations are expanded by the Chebyshev polynomial's series, the matrix equations composed those unknown coefficients are deduced and solved instead of the integral equation