中文摘要：

基于Biot波动方程,研究饱和地基表面刚性圆形基础在入射P1及SV波激励下的动力响应问题。为考虑地基与基础的相互作用以及基础对入射波的散射,引入辐射波场及刚体散射波场。将饱和地基视为Biot波动方程描述的饱和半空间,并假设土与基础紧密接触且接触面完全透水。运用Hankel积分变换求解土体控制方程,并结合地基与基础接触面的混合边值条件及基础的动力平衡方程,得到入射波作用下基础竖向振动振幅的表达式。最终通过数值算例分析入射波频率、入射角度、基础质量以及饱和土体渗透性等对基础竖向振动的影响。研究结果表明,当基础分别受P1及SV波作用时,两者之间的竖向振动特性有较大差异。

英文摘要：

An investigation is put into the vertical dynamic responses of a rigid circular foundation on the poroelastic soil excited by incident fast P1 waves and SV waves.The radiation field and rigid-body scattering field are introduced in order to consider the dynamic interaction between the foundation and the underlying soil,as well as the scattering phenomena caused by the existence of the foundation.The motion of the soil is supposed to be governed by Biot′s dynamic poroelastic theory,while the boundary conditions along the contact surface between the soil and the bottom of the foundation are assumed to be perfectly bonded for the skeleton and hydraulically drained for the fluid.Combining with the mixed boundary-value condition and the dynamic equilibrium equation of the foundation,the expression of the vertical dynamic amplitude of the foundation,subjected to the incident plane waves,is obtained by solving the control equations using Hankel integral transforms.The influences of incident angle,the mass of the foundation and the permeability of the soil on the vertical vibrations of the foundation are thus determined through numerical simulations.Significant differences are found between the responses of the foundation,which is excited by fast P1 waves and SV waves,respectively.