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椭圆孔口外受集中力和力偶时的新解法
引用本文:陈宜周. 椭圆孔口外受集中力和力偶时的新解法[J]. 力学季刊, 1994, 15(4): 64-67
作者姓名:陈宜周
作者单位:江苏工学院
摘    要:
文中给出了无限平板带椭圆孔又受集中力和力偶时的弹性分析。所讨论问题归结为复变函数的一个特殊问题,即令一个复变函数(单位圆外有奇点)的值和另一个复变函数(单位圆外为解析)的共轭值沿着单位圆相等。最后,得出了闭合形式的解。

关 键 词:椭圆孔 复变函数 弹性力学 二维问题

A NEW APPROACH FOR SOLVING PROBLEM OF AN INFINITE PLATE WEAKENED BY AN ELLIPTICAL HOLE AND APPLIED BY CONCENTRATED FORCES
Chen Yizhou. A NEW APPROACH FOR SOLVING PROBLEM OF AN INFINITE PLATE WEAKENED BY AN ELLIPTICAL HOLE AND APPLIED BY CONCENTRATED FORCES[J]. Chinese Quarterly Mechanics, 1994, 15(4): 64-67
Authors:Chen Yizhou
Affiliation:Jiangsu Institute of Technology
Abstract:
This paper gives an elastic analysis for an infinite plate weakened by an elliptical hole and being applied by concentrated forces and force couples. This problem may be reduced to a particular problem of the complex variable function by the author. This is to let the value of a complex variable function which has a singular part outside the unit circle be equal to a conjugate value of other complex variable function which is regular outside the unit circle. Finally, a solution in a closed form is obtained.
Keywords:Infinite plate   Elliptical hole   Complex variable function   Closed form solution.
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