Simplified approach for dynamic soil-structure interaction analysis of rigid foundation

Galerkin's procedure for weighted residual is applied to a simplified ground model. This results in a governing equation of the dynamic ground behavior only at the ground surface. The equation indicates that the ground surface behavior can be computed by an even further simplified model By solving the governing equation for the boundary conditions along the surface, expressions in simple closed forms are developed for the dynamic response analysis of a massless rigid foundation which rests on the ground surface. Despite their significant simplicity, the developed expressions produce the computed values very close to those computed by far more complex rigorous solutions. They capture well the characteristics of the dynamic behavior of the ground.