横观各向同性饱和地基上刚性圆板的扭转振动  

Torsional Vibrations of a Rigid Circular Plate on Transversely Isotropic Saturated Soil

作　　者：吴大志[1] 蔡袁强[1] 徐长节[1] 占宏[1] 

机构地区：[1]浙江大学土木工程系

出　　处：《应用数学和力学》2006年第11期1349-1356,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(50478081)

摘　　要：通过解析方法研究了横观各向同性饱和半空间上刚性圆板在简谐扭转荷载作用下的振动问题.运用Hankel变换求解了横观各向同性饱和土的动力控制方程,结合混合边界条件得出了刚性基础的扭转对偶积分方程,并将对偶积分方程转化为第二类Fredholm积分方程求解了基础的扭转振动问题,同时给出了动力柔度系数,基础的角位移幅值和基底接触剪应力的表达式.通过数值算例研究了地基的各向异性程度对基础扭转振动的影响.An analytical method is presented for the torsional vibrations of a rigid disk resting on transversely isotropic saturated soil. By employing the technique of Hankel transform, the dynamic governing differential equations for transversely isotropic saturated poroelastic medium were solved. Considering the mixed boundary-value conditions, the dual integral equations of torsional vibrations of a rigid circular plate restion on transversely isotropic saturated soil were established. By appropriate transform, the dual integral equations were converted into a Fredholm integral equation of the second kind. Subsequently, the dynamic compliance coefficient, the torsional angular amplitude of the foundation and the contact shear stress were expressed explicitly. Selected examples are presented to analyse the influence of saturated soil＇s anisotropy on the foundation＇s vibrations.

关 键 词：横观各向同性饱和地基 扭转振动 刚性圆板 动力柔度系数 接触剪应力 

分 类 号：TU435[建筑科学—岩土工程]