Vibrations of rectangular flexible foundation on halfspace

Abstract

A semi-analytical method deals with vertical vibrations of a massive, flexible rectangular foundation smoothly jointed to an elastic, homogeneous halfspace is presented. The method is based on the solution in frequency domain that represents a combination of the Integral Transform Method (ITM) used for the soil and the Dynamic Stiffness Method (DSM) used for the foundation. The coupling of the foundation and the soil is established using the modal superposition technique. The influence of the foundation mass and the foundation stiffness on the response of the system is analyzed. The accuracy of the results obtained by using the proposed technique is also discussed.