矩形悬臂板的非线性弯曲  

Nonlinear Bending of Rectangular Cantilever Plate

作　　者：曲庆璋[1] 梁兴复 章权 

机构地区：[1]青岛建筑工程学院 [2]广东省交通厅

出　　处：《强度与环境》1999年第3期5-10,共6页Structure & Environment Engineering

基　　金：冶金部基础研究项目

摘　　要：矩形悬臂板的非线性弯曲是板理论中的一个相当困难的课题，至今还没有研究过。给出由三角函数和多项式组成的近似挠度函数w（x，y）和应力函数F（x，y），它们满足矩形悬臂板的部分边界条件。然后用广义伽辽金方法得到矩形悬臂板非线性弯曲问题的解。最后给出了算例。The nonlinear bending of rectangular cantilever Plaes is a rather complicated problem in the theory of plates. Until now the problem has not studied. In this peper, the approximate deflection function (x, y) and stress function F(x, y) which consist of trigonometrical function and polynomial expression are selected. They satisfy part of boundary conditions. Then problem is solved by the generalized galerkir method. A numerical example is given at the end of the paper.

关 键 词：矩形板 弯曲 非线性分析 数值分析 悬臂板 

分 类 号：O343.1[理学—固体力学]