摘要
以弹性地基上Ｒｅｉｓｎｅｒ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 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
出处
《重庆建筑大学学报》
CSCD
1997年第2期1-11,共11页
Journal of Chongqing Jianzhu University
基金
国家教委高校博士点基金
关键词
双参数
弹性地基
计算
边界元法
厚板
弯曲
Reissner's plate, two- parameter elastic foundation, fundamental solution, boundary integral equation, boundary element method
