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双参数弹性地基厚板分析的边界元法
引用本文:邓安福 周永明. 双参数弹性地基厚板分析的边界元法[J]. 土木与环境工程学报, 1997, 19(2): 1-11
作者姓名:邓安福 周永明
作者单位:[1]重庆建筑大学建筑工程学院 [2]浙江省建筑设计院
基金项目:国家教委高校博士点基金
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「4」导出的双参数地基上弯曲问题的基本解,从虚功原理出发,依据在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。

关 键 词:双参数 弹性地基 计算 边界元法 厚板 弯曲

Boundaty Element Method for Analysis of Thick Plates on Two- Parameter Elastic Foundations
Deng Anfu. Boundaty Element Method for Analysis of Thick Plates on Two- Parameter Elastic Foundations[J]. Journal of Civil and Environmental Engineering, 1997, 19(2): 1-11
Authors:Deng Anfu
Abstract:This paper discusses the Reissner's plates on elastic foundation.The elastic foundation is considered as two- paramerer and its effect to thick plates are taken into account by a set of govering differential equations. According to the foundamental solutions for bending problem on two- parameter foundation derived, three boundary integral equations denoted by generalized displacement functions are established. This method is suitable to solve the bending problem of thin or thick plates on two- parameter foundation with arbitary boundary condition, arbitary shape and arbitary load conditions
Keywords:Reissner's plate   two- parameter elastic foundation   fundamental solution   boundary integral equation   boundary element method
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