正交异性矩形薄板的稳定性分析  

THE STABILITY ANALYSIS FOR ORTHOTROPIC THIN PLATES

作　　者：杨端生[1] 廖瑛[2] 黄炎[2] 

机构地区：[1]长沙交通学院,长沙410076 [2]国防科技大学,长沙410073

出　　处：《工程力学》2002年第3期55-58,共4页Engineering Mechanics

基　　金：国家自然科学基金资助项目(19872072)

摘　　要：本文求得了正交异性矩形薄板屈曲位移函数微分方程的一般解。可用以求解任意边界矩形板的稳定问题。以两邻边简支，另两边自由的正方形板为例进行了计算。A general solution of differential equation for buckling displatement function of orthotropic rectangular thin plate is obtained in this paper.It can be used to solve the stability problem of rectangular plate with arbitrary boundaries. As an example, a square plate with two adjacent edges simply supported and other two free is studied.

关 键 词：正交异性矩形薄板 稳定性分析 临界载荷 屈曲位移函数 分离变量法 

分 类 号：O343.9[理学—固体力学]