| 用Green函数求解扁球壳受环状线载和线偶作用的问题 |
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| 引用本文： | 王良国,刘勇.用Green函数求解扁球壳受环状线载和线偶作用的问题[J].力学学报,1990,22(2):176-184. |
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| 作者姓名： | 王良国 刘勇 |
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| 作者单位： | 华东工学院 |
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| 摘 要： | 本文从复变量形式的扁壳基本方程出发,通过建立复Green函数导出了在环状线载和线偶作用下扁球壳的位移和内力分布,通过积分可以求得轴对称的表面受变化分布载荷情况的解答,本文方法还可求得圆饭、圆柱壳等问题的解答,而且适用于各种轴对称边界条件。
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| 关 键 词： | 扁球壳 线载 线偶 弹性 Green函数 |
SOLVING THE PROBLEMS OF SHALLOW SPHERICAL SHELLDUE TO LINELOADS AND LINE MOMENTS BYGREEN'S FUNCTION |
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| Wang Liangguo Liu Yong.SOLVING THE PROBLEMS OF SHALLOW SPHERICAL SHELLDUE TO LINELOADS AND LINE MOMENTS BYGREEN''''S FUNCTION[J].chinese journal of theoretical and applied mechanics,1990,22(2):176-184. |
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| Authors: | Wang Liangguo Liu Yong |
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| Institution: | East China Institute of Technology |
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| Abstract: | This paper derives the solutions of shallow spherical shell due to line loads or line moments by means of construcing Green's function from the homogeneous differential equations of shallow shell whose solution is in a complex from, Integrating the results, We shall obtain the solution of shallow sphercal shell due to axisymmetrical loads distributed along the shell Following this, the solutions of circular plate and the cylindrical shell are obtained by using this paper's method and the results are suitable for any axisymmetrical edge condition. |
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| Keywords: | shallow shell Green function Elasticity Non-homogeneous differential equations |
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