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受有集中力的样条边界元法
引用本文:王章虎,王有成.受有集中力的样条边界元法[J].上海力学,1994,15(1):55-60.
作者姓名:王章虎  王有成
作者单位:合肥工业大学 (王章虎),合肥工业大学(王有成)
摘    要:本文应用Betti定理,建立弹性体边界和体内受有有限个集中力时的样条边界积分方程,将集中力的影响表征为边界积分方程中的自由项,从客观实际出发,对具有两套奇性交会的积分方程给出一种方便有效的处理方法,使得集中力下的边界元法得以实施,在样插值基础上,即使稀疏剖分也能给出很高精度的位移场。应力场和未知集中反力。

关 键 词:边界元法  奇性处理  弹性力学

SPLINE BOUNDARY ELEMENT METHOD FOR THE ANALYSIS OF ELASTIC BODY SUBJECTED TO CONCENTRATED FORCES
Wang Zhanghu Wang Youcheng.SPLINE BOUNDARY ELEMENT METHOD FOR THE ANALYSIS OF ELASTIC BODY SUBJECTED TO CONCENTRATED FORCES[J].Chinese Quarterly Mechanics,1994,15(1):55-60.
Authors:Wang Zhanghu Wang Youcheng
Institution:Hcfci University of Technology
Abstract:In this paper, for a clastic body subjected to several concentrated forces, a spline boundary integral equations using Belli theorem is established, effects of concentrated forces,being expressed as the free terms in the BIE. In the solution integral equations with two kinds of singularities arc treated successfully. Numerical results show that this method is of excellent numerical accuracy and is also for convenient applications. -,. - _ *
Keywords:Concentrated forces  Spline boundary element method  Singularity and due treatment  
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