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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].上海力学,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
Institution: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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