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求解悬臂矩形板稳定问题的一种新方法
引用本文:朱敬举,刘新民. 求解悬臂矩形板稳定问题的一种新方法[J]. 燕山大学学报, 2004, 28(4): 320-324
作者姓名:朱敬举  刘新民
作者单位: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
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。

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
文章编号:1007-791X(2004)04-0320-05
修稿时间:2003-07-07

New method for solve the problem of stability of thin rectangular cantilever plates
ZHU Jing-ju,LIU Xin-min. Langfang Army Missile Institute,Langfang,Hebei ,China, . College of Architecture Engineering and Mechanics,Yanshan University,Qinhuangdao,Hebei ,China. New method for solve the problem of stability of thin rectangular cantilever plates[J]. Journal of Yanshan University, 2004, 28(4): 320-324
Authors:ZHU Jing-ju  LIU Xin-min. Langfang Army Missile Institute  Langfang  Hebei   China   . College of Architecture Engineering  Mechanics  Yanshan University  Qinhuangdao  Hebei   China
Affiliation:ZHU Jing-ju,LIU Xin-min1. Langfang Army Missile Institute,Langfang,Hebei 065000,China, 2. College of Architecture Engineering and Mechanics,Yanshan University,Qinhuangdao,Hebei 066004,China
Abstract: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.
Keywords:rectangular cantilever plates  problem of stability  reciprocal theorem of works
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