Horizontal vibration behavior of a rigid disk resting on a viscoelastic soil layer overlying rigid bedrock

Abstract

The soil overlying bedrock is usually a finite thickness medium in engineering practice, but it is often considered a half-space medium in the analysis of the dynamic interaction between foundation structures and subsoil. To address this shortcoming, an authentic dynamic model for a rigid disk subjected to time-harmonic horizontal-only loads resting on a viscoelastic soil layer of finite thickness is proposed in this paper. Based on the Hankel transform method and dual integral equations, the mixed boundary value problem is transformed into Fredholm integral equations of the second kind, and thus the displacement and stress field of the disk–soil system is obtained. Then, the rationality and accuracy of the proposed solution are verified in comparison with the available results. Finally, a parameter analysis of the thickness, Poisson’s ratio, damping ratio and shear modulus of the subsoil is carried out in detail to investigate the horizontal dynamic response of the rigid disk–soil system. The results showed that as the soil layer thickness increases, the horizontal dynamic compliance coefficient and soil displacements decrease. Specifically, when the normalized thickness of the soil layer is greater than 100, changing the thickness has a negligible effect on the computational results.