[1]曲焱喆,盖秉政,吴 佳.多孔弹性平板弯曲或扭转的应力集中[J].南京理工大学学报(自然科学版),2006,(06):701-704.
 QU Yan-zhe,GAI Bing-zheng,WU Jia.Lacunaris Elastic Plane Bending and Torsion Stress Concentration Problem[J].Journal of Nanjing University of Science and Technology,2006,(06):701-704.
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多孔弹性平板弯曲或扭转的应力集中
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
2006年06期
页码:
701-704
栏目:
出版日期:
2006-12-30

文章信息/Info

Title:
Lacunaris Elastic Plane Bending and Torsion Stress Concentration Problem
作者:
曲焱喆1 盖秉政1 吴 佳2
哈尔滨工业大学1. 航天学院; 2. 材料科学与工程学院, 黑龙江哈尔滨150001
Author(s):
QU Yan-zheGAI Bing-zhengWU Jia
1.School of Astronautics;2.School of Material Science and Engineering,Harbin Institute of Technology,Harbin 150001,China
关键词:
弹性板 弯曲 应力集中
Keywords:
elast ic p lates bend ing stress concentration
分类号:
O343.4
摘要:
针对含有任意多孔无限大弹性平板弯曲或扭转应力集中的计算问题,应用弹性力学的复变函数理论,采用多保角变换的方法,推出了多复变量应力函数的表达式。在边界上进行复Fou-rier级数展开,用待定系数法确定应力函数的未知系数,从而计算弹性板的应力场。以含有任意多圆孔的无限板为例,进行了算例分析,给出了各种载荷下孔距对应力集中的影响因素和孔边周向弯矩的分布图。结果表明:该方法对处理多孔弹性平板弯曲或扭转问题是行之有效的。
Abstract:
Based on the complex variable function theory o f elastic mechanics, using mu ltiple confo rmalm apping change to get the expression o fmult ip le comp lex variab le stress function about inf-i n ite e last ic p lane bending and torsion problem w ith arbitrary ho les. Fourier series on every boundary are ex tended, the unknow n coefficients are confirmed by undeterm ined coeffic ients method, and the stress field of e last ic plane is computed. Taking arb itrary circle ho les in infinite p lane as an examp le, this paper g ives the influenc ing effects of the ho le d istance in the cond ition o f every load on stress concentration and the bending moment distribution maps around ho les. The result proves this method is effective to analyze lacunaris e lastic plane bending or torsion problems.

参考文献/References:

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[ 3] L in Chih-b ing. On the S tresses in a p la te conta in ing two circu la r ho les[ J]. J of Applied physics, 1948, 19 ( 1): 77- 81.
[ 4] UkadgaonkerV G. Stress analysis of a p late conta in ing two c ircular ho les having tang ential stresses[ J]. AIAA Journa,l 1980, 18( 1): 125- 128.
[ 5] 西田正孝. 应力集中[M ]. 李安定, 等译. 北京: 机 械工业出版社, 1986.
[ 6] 王林江, 林佳铿. 用多复变量应力函数计算多连通 弹性平面问题[ J]. 应用数学和力学, 1994, 15( 9): 657- 664.
[ 7 ] 许希武, 孙良心, 范绪箕. 多椭圆孔有限大复合材 料层板的应力研究[ J]. 力学学报, 1995, 27 (增 刊) : 66- 73.

备注/Memo

备注/Memo:
作者简介: 曲焱喆( 1966- ), 男, 黑龙江哈尔滨人, 副教授, 主要研究方向: 固体力学, E-m ail:qyz@ h it. edu. cn。
更新日期/Last Update: 2006-12-30