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域外奇点法分析薄板的平面应力问题
引用本文:苏成,韩大建.域外奇点法分析薄板的平面应力问题[J].华南理工大学学报(自然科学版),1994,22(1):1-10.
作者姓名:苏成  韩大建
作者单位:华南理工大学建筑工程系
摘    要:本文推导了两边简支无限长薄板平面应力问题的基本解,该基本解为级数解,为了便于应用和提高计算精度,还求出了这些级数的和函数。把该基本解应用在域外奇点法中可分析一对边简支另一对边为任意的矩形薄板的平面应力问题。本文给出的算例表明该法有计算量少、精度高的优点。

关 键 词:  平面应力  域外奇点法  薄板

ANALYSIS OF PLANE STRESS PROBLEMS BY THE METHOD OF SINGULAR POINTS EXTERIOR TO DOMAIN
Su Cheng, Han Dajian.ANALYSIS OF PLANE STRESS PROBLEMS BY THE METHOD OF SINGULAR POINTS EXTERIOR TO DOMAIN[J].Journal of South China University of Technology(Natural Science Edition),1994,22(1):1-10.
Authors:Su Cheng  Han Dajian
Abstract:in this paper, the basic solution for an infinite slab with two sidessimply-supported subjected to plane stress is derived. This solution is originallyexpressed in a series of form. For the sake of convenience and to increase its accuracy, an attempt is made to find the sum functions of these series. Now they aresuccessfuly obtained. Tile basic solution is further applied to the method of singular poings exterior to domain for tile analysis of rcxitangular slabs with two sidessimply-supported subjected to in-plane loadings. N,Jmerjcal examples showthat tile proposed method can generate solutions with high accuracy at lithecomputing cost.
Keywords:s: plates  plane stress  fundamental solution  method of singularpoint exterior to domain
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