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域外奇点法分析薄板的弯曲和平面应力问题 被引量:5

ANALYSIS OF THIN-PLATE BENDING AND PLANE STRESS PROBLEMS BY METHOD OF SINGULAR POINTS EXTERIOR TO DOMAIN
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摘要 本文首先给出了作者推导的两边简支无限长薄板弯曲问题和平面应力问题的基本解,然后运用域外奇点法及给出的基本解分析了一对边简支矩形薄板的弯曲和平面应力问题.计算结果表明,这种方法具有计算量少、精度高等优点。 Basic solutions for infinite plate with two sides simply supported subjected to bending as well as to plane stress are first presented. Then the basic solutions and the method of singular points exterior to domain are applied for analysis of rectangular plates with two sides simply supported subjected to transverse as well as to in-plane loadings. Numerical examples are given. It is shown that the proposed method can generate solutions with high accuracy at little computing cost.
作者 苏成 韩大建
机构地区 华南理工大学
出处 《工程力学》 EI CSCD 1994年第4期17-26,共10页 Engineering Mechanics
关键词 平面应力 域外奇点法 弯曲 弹性力学 plate plane stress basic solution method of singular points exterior to domain
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  • 1Yun Tian-quan. Torsion of elastic shaft of revolution embedded in an elastic half space[J] 1990,Applied Mathematics and Mechanics(6):527~536
  • 2K. L. Chowdhury. On the axisymmetric Mindlin’s problem for a semi-space of granular material[J] 1987,Acta Mechanica(1-4):145~159
  • 3Yun Tian-quan. Pile analysis by simple integral equation methods[J] 1981,Applied Mathematics and Mechanics(3):331~348

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