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弹性地基上厚板的计算分析
引用本文:邓安福,干腾君,李正良,曾祥勇.弹性地基上厚板的计算分析[J].岩土工程学报,2003,25(6):653-657.
作者姓名:邓安福  干腾君  李正良  曾祥勇
作者单位:重庆大学土木工程学院;重庆大学土木工程学院 重庆 400045;重庆 400045;重庆 400045;
基金项目: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。

关 键 词:Reissner板  双参数弹性地基  边界积分方程  边界元法  
文章编号:1000-4548(2003)06-0653-05
修稿时间:2003年1月24日

Computation and analysis of thick plates on elastic foundations
DENG Anfu,GAN Tengjun,LI Zhengliang,ZENG Xiangyong.Computation and analysis of thick plates on elastic foundations[J].Chinese Journal of Geotechnical Engineering,2003,25(6):653-657.
Authors:DENG Anfu  GAN Tengjun  LI Zhengliang  ZENG Xiangyong
Affiliation:School of Civil Engineering Chongqing University Chongqing 400045 China
Abstract: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.
Keywords:Reissner's plate  two-parameter elastic foundation  boundary integral equation  boundary element method
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