摘要
本文基于Berger方法研究了正交各向异性圆板的大挠度问题。在所讨论问题的总势能泛函中引入中面应变不变量并应用欧拉变分方程,导得了非耦联的控制方程。最后由加权积分法给出均布载荷作用下周边固定和周边不动简支圆板的解析数值结果。
Based on Berger's method [1], in this paper, the large deflection problems of orthotropic circular plate are investigated, The invariants of the mean surface strain are introduced into the fanctional of total potential energy, and the non-coupled differential equations are obtained by Euler's variational equations. The analytical numerical results for circular plates of clamped and immovable simply supported edges, under uniform distributed load, are presented by using the method of weighted residuals.
出处
《应用力学学报》
CAS
CSCD
北大核心
1990年第2期124-128,147-148,共5页
Chinese Journal of Applied Mechanics
关键词
各向异性
挠度
Berger法
圆板
orthotropic circular plate, large deflection, Berger's method.