求解悬臂矩形板稳定问题的一种新方法  

New method for solve the problem of stability of thin rectangularcantilever plates

作　　者：朱敬举[1] 刘新民[2] 

机构地区：[1]廊坊陆军导弹学院,河北廊坊065000 [2]燕山大学建筑工程与力学学院,河北秦皇岛066004

出　　处：《燕山大学学报》2004年第4期320-324,共5页Journal of Yanshan University

摘　　要：应用功的互等定理求解了悬臂矩形板在周边中面压力作用下的稳定问题,求得了简洁的挠曲函数,并根据挠曲函数和边界条件给出了该稳定问题的特征方程。对该特征方程编制专用程序进行计算,并应用通用有限元程序进行计算,得出了较为满意的结果。In this paper, the reciprocal theorem of works to the problem of stability of thin rectangular cantilever plates which is under the equispaced stress in its median plane is applied, and the function of the deflection surface is given. Use this function and the boundary condition, the secular equation for this problem is given. A specific program for the secular equation is compiled, and a conform result with the method of common finite element is gained.

关 键 词：稳定问题 求解 特征方程 中面 矩形板 互等定理 函数 有限元程序 计算 编制 

分 类 号：TH134[机械工程—机械制造及自动化] O343.2[理学—固体力学]