横观各向同性饱和层状地基的三维稳态动力响应

THE 3-D DYNAMIC RESPONSE OF LAYERED TRANSVERSELY ISOTROPIC SATURATED SOILS TO AN ARBITRARY HARMONIOUS SOURCE

首先引入状态向量,将直角坐标系下横观各向同性饱和土的Biot波动方程转化为一组状态方程,然后基于双重Fourier变换,求解了状态方程,得到传递矩阵.进而利用传递矩阵,并结合饱和地基的边界条件、排水条件及层间接触和连续条件,求解了横观各向同性饱和层状地基的稳态动力响应问题.

A method to calculate the 3-d dynamic response of layered transversely isotropic saturated soils to an arbitrary harmonious source is presented. Based on Blot＇s theory for fluid-saturated porous media, the 3-D Blot＇s wave equations in rectangular coordinate for transversely isotropic saturated poroelastic media are transformed into the 1-order governing differential equations by means of the double Fourier transform method with respect to horizontal coordinates. Then, transfer matrixes within layered media are derived under the continuous conditions, drainage conditions and the boundary conditions.