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任意形状薄壳的弹性稳定性方程
引用本文:李忱,黄执中.任意形状薄壳的弹性稳定性方程[J].上海力学,1993,14(3):74-81.
作者姓名:李忱  黄执中
作者单位:山西电力职工大学 (李忱),北京航空航天大学(黄执中)
摘    要:本文用张量导出了任意形状薄壳的统一的弹性稳定性方程组,并且在正交曲线坐标系下化成了以张量的物理分量表示的方程,进而可以将正圆锥壳、球壳、圆柱壳、椭球壳、圆板、矩形板等形状的壳和板作为特例来研究。

关 键 词:张量  薄壳  稳定性方程

A SET OF GENERAL EQUATIONS OF ELASTIC STABILITY FOR THIN SHELLS WITH ARBITRARY SHAPES
Li Chen.A SET OF GENERAL EQUATIONS OF ELASTIC STABILITY FOR THIN SHELLS WITH ARBITRARY SHAPES[J].Chinese Quarterly Mechanics,1993,14(3):74-81.
Authors:Li Chen
Abstract:In this paper,Authors have derived an unified set of equations of elastic stability forthin shells with arbitrary shapes in the method of tensor.These equations can also beturned into equations expressed with the physical component of the tensor under thecurvilinear orthogonal coordinate system,For special cases,these equations for the rightcircular conical shells,the spherical shells,the circular cylindrical shells,the ellipticalshells and even the circular plates and the rectangular plates are given and studied.
Keywords:tensor  thin shells  equation of stability  
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