摘要
本文利用H(?)rmander算子法将控制弹性地基厚板的微分方程组转化为含有一个未知函数的高阶微分方程,并引入辅助函数使微分方程降阶,以较为简捷的途径获得了弹性地基厚板的基本解.文中采用导出的基本解作为权函数,建立了适用于任意边界条件和几何形状的弹性地基厚板的边界积分方程,并用边界元法分析了一些算例.
In this paper a set of differential equations governing thick plates rested on elastic foundation is transformed into a high order differential equation with one function as unknown by use of Hormander's method. The differential equation then is reduced to several low order differential equations by introducing in auxiliary functions. The fundamental solutions of thick plates on elastic foundation are presented in a simple and convenient way. The boundary integral equations of thick plates on elastic foundation which are applicable for arbitrary boundary conditions and geometries are established with the fundamental solutions presented in this paper as weighted functions. Some numerical examples are analyzed by the boundary element method.
出处
《土木工程学报》
EI
CSCD
北大核心
1995年第2期3-10,共8页
China Civil Engineering Journal
基金
国家自然科学基金资助项目
