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Green函数法在轴对称板壳理论中的应用
引用本文:刘勇,王良国. Green函数法在轴对称板壳理论中的应用[J]. 应用力学学报, 1990, 0(2)
作者姓名:刘勇  王良国
作者单位:华东工学院,华东工学院
摘    要:本文从轴对称板壳理论的基本方程出发,通过建立Green函数,导出了轴对称线载荷下解的一般表述式,由此可以求出任意轴对称载荷下的解,然后本文分别讨论了圆板和扁球壳受线载问题的解,文中的结果适用于各种边界条件。

关 键 词:板壳  Green函数  弹性  非齐次微分方程

THE APPLICATION OF GREEN'S FUNCTION METHOD IN THEORY OF AXISYMMETRCAL PLATES AND SHELLS
Liu Yong Wang Licgguo. THE APPLICATION OF GREEN'S FUNCTION METHOD IN THEORY OF AXISYMMETRCAL PLATES AND SHELLS[J]. Chinese Journal of Applied Mechanics, 1990, 0(2)
Authors:Liu Yong Wang Licgguo
Affiliation:East China Institute of Technology
Abstract:Developed from the basis equations of the theory of axisymmetrical plates and shells, this paper presents the general expressions for plates and shells subjected by axisymmenrical line load, by means of the Green's function method. And then plates and shells subjected arbitrary axisymmetrical loads can be solved by the method. The solutions for circular plate and shallow spherical shell under line loads are discussed respectively. The results from the paper are compatible with various boundar conditions.
Keywords:plate and shell   Green's function   elasticity   non-homogeneous differential equation.
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