k个内点支承圆板的对称弯曲  

The Symmetrical Bending of an Elastic Circular Plate Supported at k Internal Points

作　　者：李农[1] 付宝连[2] 

机构地区：[1]洛阳工学院 [2]燕山大学

出　　处：《应用数学和力学》1991年第11期1023-1028,共6页Applied Mathematics and Mechanics

摘　　要：本文研究在均布载荷作用下,表面上有k个等距离内点支承的弹性圆板的对称弯曲.将自由边界位移和转角展开成Fourier级数,应用文献[6]的方法,使平衡方程和边界条件同时得到精确满足,从而获得了挠曲面方程的解析表达式.这是一种简便、有效的算法.This paper treats the symmetrical bending of a uniformly loaded circular plate supported at k internal points. The boundary displacemet and slope are expanded in Fourier seriesr. The method proposed by [6] is applied. As both the governing differential equation and boundary conditions are satisfied exactly, we therefore obtain the analytic expression of the transverse deflectional equation of the circular plate. This is an easy and effective method.

关 键 词：内点支承 对称弯曲 挠曲面方程 

分 类 号：O343[理学—固体力学]