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开孔有限板的孔边应力场分析
引用本文:张涛,刘土光,赵耀,刘敬喜.开孔有限板的孔边应力场分析[J].华中科技大学学报(自然科学版),2002,30(1):87-89.
作者姓名:张涛  刘土光  赵耀  刘敬喜
作者单位:华中科技大学交通科学与工程学院,武汉,430074
摘    要:研究了开椭圆孔有限板的应力集中问题,应用弹性力学的复变函数理论,在各内边界上引入保角变换,在外边界上采用分段函数,通过傅立叶级数展开,计算整个弹性板的应力场,给出了开椭圆孔有限板的计算实例。

关 键 词:  应力集中  弹性力学  应力场  有限板  复变函数理论  傅立叶级数展开
文章编号:1671-4512(2002)01-0087-03
修稿时间:2001年5月11日

Analysis of stress field of finite plates weakened by holes
Zhang Tao Liu Tuguang Zhao Yao Liu Jingxi Doctoral Candidate, College of Traffic. Sci. & Eng.,HUST,Wuhan ,China..Analysis of stress field of finite plates weakened by holes[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2002,30(1):87-89.
Authors:Zhang Tao Liu Tuguang Zhao Yao Liu Jingxi Doctoral Candidate  College of Traffic Sci & Eng  HUST  Wuhan  China
Institution:Zhang Tao Liu Tuguang Zhao Yao Liu Jingxi Doctoral Candidate, College of Traffic. Sci. & Eng.,HUST,Wuhan 430074,China.
Abstract:The paper studies the stress concentration of finite plates containing multiple large holes. With the transformation, the stress functions of the finite plates are derived on the basis of the mathematical elastic theory. On the boundaries of holes, by using multiple conformal representation, the functions are developed in Fourier Series on unit circle, and on the boundary of plate edges expressed with the subsection function, the function is developed in Fourier Series by polar coordinates. The unknown coefficients of the functions are determined by comparing with the coeffcient method, and the stress in the plate can be calculated. In the paper, examples are given, and the results show the method is effective and efficient.
Keywords:finite plates  holes  stress concentration
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