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边界点元及其应用
引用本文:严更. 边界点元及其应用[J]. 工程力学, 1991, 8(1): 1-8
作者姓名:严更
作者单位:重庆建筑工程学院
摘    要:本文在边界元法中引入边界点元的概念并研究了相关的问题,其中包括使用边界点元时边界元基本方程中相应系数张量的具体计算公式,点元处边界应力计算方法以及线性代数方程组可能出现的奇异性及处理途径,最后给出若干算例。应用边界点元可以更客观地反映角点处边界量的实际状况,从而大大改善了计算结果的精度。

关 键 词:边界元法  边界点元  系数张量公式

BOUNDARY POINT ELEMENT AND ITS APPLICATION
Yan Geng. BOUNDARY POINT ELEMENT AND ITS APPLICATION[J]. Engineering Mechanics, 1991, 8(1): 1-8
Authors:Yan Geng
Affiliation:Chongqing Institute of Architecture and Engineering
Abstract:This paper presents the concept of the boundary point element and related problems which include the formulae of calculating the corresponding coefficient tensors in BEM equations, the method to calculate the boundary stresses at point elements and the treatment of singularity of linear algebraic simultaneous equations. Finally some examples are given. Using boundary point elements can simulate the actual situation of boundary quantities more objectively and improve the accurate of results greatly.
Keywords:BEM   Boundary point element   Coefficient tensors formulation
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