弹性地基上厚板的计算分析  

Computation and analysis of thick plates on elastic foundations

作　　者：邓安福[1] 干腾君[1] 李正良[1] 曾祥勇[1] 

机构地区：[1]重庆大学土木工程学院,重庆400045

出　　处：《岩土工程学报》2003年第6期653-657,共5页Chinese Journal of Geotechnical Engineering

基　　金：国家教委高校博士点基金资助项目(9562001)

摘　　要：以弹性地基上Reissner板为研究对象,地基采用双参数模型,把地基效应归并到厚板的弯曲微分方程中。利用导出的双参数地基上厚板弯曲问题的基本解,从虚功原理出发,依据胡海昌的中厚板弯曲理论,推导出三个广义位移表示的边界积分方程。适用于任意边界条件、任意形状及任意荷载的薄板及中厚板的弯曲问题。文中给出了算例,并对各种参数变化进行了分析,获得了满意的结果。This paper discusses the Reissner's plates on elastic foundation. The elastic foundation is considered as a medium with twoparameter and its effect to thick plates is taken into account by a set of governing differential equations. According to the derived fundamental solutions for bending problem of plates on twoparameter foundation, three boundary integral equations denoted by generalized displacement functions are established. This method is suitable for solving the bending problem of thin or thick plates on twoparameter foundation with arbitrary boundary condition, arbitrary shape and arbitrary load conditions.

关 键 词：弹性地基 厚板 弯曲 荷载 REISSNER板 边界积分方程 边界元法 

分 类 号：TU471.2[建筑科学—结构工程]