解Reissner板弯曲问题的一个新的边界元法

本文从虚功原理出发,以胡海昌导出的E、Reissner板弯曲理论归结为求解两个位移函数作为中间变量,推导出三个广义位移和三个广义力表示的边界积分方程。本文提出的方法适用于任意边界,任意载荷的薄板,中厚板弯曲。文未给出了固支。简支和自由三类边界的算例,均得到满意的结果。

A New Boundary Integral Formulation For Reissner's Plate Bending Problems Lei Xiao—yan

This paper presents a new boundary integral formulation involving three generalized forces and three generalized displacements for the Reissner's plate bending problems. It is derived from the virtual work principle and based on the two displacement functions proposed by IIu Hai—chang. It may be applied to both thick and thin plates with arbitrary boundary conditions and arbitrary loads. Three test problems with the uniformly distributed load are worked out and results are compared with the analytical solutions.