A finite element algorithm for reanalysis of structures with added degrees of freedom

被引：28
|
作者：
Wu, BS
Lim, CW
Li, ZG
机构：
[1] City Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R China
[2] Jilin Univ, Sch Math, Dept Engn Sci & Mech, Changchun 130012, Peoples R China
来源：
FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2004年 / 40卷 / 13-14期
关键词：
finite element; increase of degrees of freedom; static reanalysis; matrix partition; PCG algorithm;
D O I：
10.1016/j.finel.2004.01.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is focused on the reanalysis of structures with added degrees of freedom. By suitably partitioning the extended stiffness matrix, we present a preconditioned conjugate gradient algorithm to analyze the modified structure. The algorithm preserves the case of implementation and improves significantly the quality of results. In particular, the algorithm can adaptively monitor the accuracy of approximate solutions. It is applicable to general finite element systems. The computational cost is significantly reduced. Numerical examples are given to show the effectiveness of the presented reanalysis algorithm. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：1791 / 1801
页数：11
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