摘要
本文由最小势能原理出发,对弯曲问题的控制微分方程和边界约束条件做了统一的差分处理,获得了仅仅依赖于板面网格结点的差分格式:对所得差分方程建立了直接求解与Gauss-Seidel迭代相结合的求解方法。本文还给出了初步的数值结果。
Starting from the principle of the minimum potential energy, the governing differential equation and the boundary constraint conditions for the bending problem are differenced unitedly and the difference schemes which depend only on the mesh points in plate area are obtained. A method to solve the difference equations by means of combining the direct manner with Gauss-Seidel iteration method is proposed. And a numerical example is given in the paper.
出处
《计算物理》
CSCD
北大核心
1992年第3期303-312,共10页
Chinese Journal of Computational Physics
关键词
非均匀变厚度
薄板
弯曲
差分法
bending problem of thin elastic plate, non-homogenity and variable thickness, finite difference method.
