Horizontal motions of a rigid disk placed on a poroelastic soil layer of finite thickness

Abstract

In the previous studies of rigid disk-soil dynamics, the soil under the foundation is usually treated as a poroelastic half-space medium. However, the waves due to the vibration of rigid disk can reflect and refract back and forth between the finite soil layer and rigid bedrock, which would significantly influence the soil deformation and flow of the rigid disk-soil system. In order to overcome the shortcoming, this paper presents an analytical solution to determine the response of the rigid disk subjected to harmonic horizontal loads resting on poroelastic soil layer overlying rigid bedrock. The displacements and stresses field of the disk and soil are obtained by virtue of the Hankel transform method, dual integral equations method. Furthermore, the rationality and accuracy of the developed solution are confirmed in comparison with the previous studies. Based on the obtained solutions, numerical examples are performed to the effects of the thickness and permeability of poroelastic soil layer on the dynamic response of the rigid disk-soil system in the physical domain.