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中厚矩形板屈曲特性的状态空间解法
引用本文:杨杰. 中厚矩形板屈曲特性的状态空间解法[J]. 武汉化工学院学报, 2000, 22(1): 50-52
作者姓名:杨杰
作者单位::杨杰(武汉化工学院机械工程系,湖北武汉430073)
摘    要:基于一阶近似理论,运用最小势能原理推导出计入横向剪切效应时板屈曲问题的基本方程;针对一对边简支,另一对边任意支承的矩形板,给出了确定其临界载荷封闭解的状态空间法.并附有算例和讨论.

关 键 词:屈曲 矩形板 状态空间法 中厚板
文章编号:1004-4736(2000)01-0050-03
修稿时间:1999-02-03

Buckling analysis of moderately thick rectangular plates by the state space approach
YANG Jie. Buckling analysis of moderately thick rectangular plates by the state space approach[J]. Journal of Wuhan Institute of Chemical Technology, 2000, 22(1): 50-52
Authors:YANG Jie
Abstract:The elastic buckling of rectangularsheardeformable plates is investigated in this paper. Based on the firstorder sheardeformation plate theory, the basic equations governing the buckling behavior of the plateare derived from the total potential energy functional. By employing the state spaceapproach, a closedform buckling solution has been obtained for the plates with twoopposite edges simply supported and the remaining two subjected to arbitrary boundaryconditions. Several examples and extensive parametric studies are also presented.
Keywords:buckling  rectangular plates  the first-order shear deformation plate theory  the state space approach
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