饱和土地基在简谐荷载作用下的解析分析

基于多孔介质混合物理论，用解析的方法研究了不可压饱和土地基受到简谐荷载作用下的动力响应问题。利用Fourier积分变换求解耦合方程组，得到了二维饱和土介质在简谐荷载作用下的通解。针对表面透水的具有下卧基岩的饱和土层以及半无限饱和土地基的边界条件，获得了固体骨架位移、孔隙流体位移、固体骨架有效应力以及孔隙流体压力的积分形式解答，并通过数值算例分析了饱和土地基在简谐荷载作用下的响应。

AN ANALYSIS ON SATURATED SOIL FOUNDATION UNDER HARMONIC LOADS

In the framework of porous media model developed from mixtures theory, the dynamic response of incompressible soil foundation subjected harmonic loads is investigated by analytical method. General solutions of coupling equations are obtained using Fourier transform for two-dimensional saturated soil. In accordance with the boundary condition of ideal permeability at upper surface, integral forms solutions of solid displacement, fluid displacement, pore pressure and solid skeleton stress are presented. In addition, the dynamic response of a saturated layer under harmonic loads is researched by numerical example.