Horizontal vibration of rigid strip footings on poroelastic half-space

Abstract

This paper presents an analytical method to determine the response of rigid strip footings to harmonic horizontal loads, while considering the foundation soil as poroelastic, two-phase medium. The derived solution is the first of its kind that allows considering in a robust manner the coupled effects of soil deformation and flow on the dynamic response of strip footings to horizontal loads. The strategy for treating this complex problem analytically comprises transforming the mixed boundary conditions to a pair of dual integral equations that provide the contact stresses at the soil-footing interface, which are solved by means of Jacobi orthogonal polynomials. Presentation of the solution is followed by a discussion on how soil flow parameters affect the dynamic response of strip footings to horizontal loads, and the importance of considering the foundation soil as two-phase medium.