Dynamic Response of a Rigid Cylinder Foundation in a Poroviscoelastic Soil Layer Resting on Rigid Bedrock under a Vertical Time-Harmonic Load

Abstract

This article presents an analytical investigation of the dynamic response of a rigid cylinder foundation embedded in a poroviscoelastic soil layer overlaying a rigid bedrock and subjected to vertical time-harmonic loading. First, this soil layer is treated as a liquid-saturated porous continuum and described by Boer’s poroelastic model. Second, based on a technique for the separation of variables, the analytical solution for the amplification factor of displacement of the foundation to this load is derived. This solution is then validated by comparing its reduced results with the reported results of saturated half-space cases. Finally, numerical examples obtained from the present solution are performed to show the effects of the thickness of the soil under the foundation bottom, the liquid–solid coupling coefficient of the soil, and the mass ratio of the foundation on the vibration characteristics of the foundation in the soil. The corresponding analysis results are also included, which can provide theoretical reference for engineering practice.