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.
出处
《应用数学和力学》
EI
CSCD
北大核心
1991年第11期1023-1028,共6页
Applied Mathematics and Mechanics
关键词
内点支承
对称弯曲
挠曲面方程
internal point support, symmetrical bending, deflectional equation
