A New Static Reanalysis Method of Topological Modifications with Added Degrees of Freedom

Tao Xu, H. Kai, Fei Cheng, Guikai Guo, Tatsuo Yoshino
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引用次数: 1

Abstract

A new method for structural static reanalysis of topological modifications with Added Degrees of Freedom is presented. The proposed procedure is easy to implement and suit for the case of modifications with the number of DOFs is increased. According to the analysis result of original system, the suitable preconditioner is selected and the response of modified structure is gained by Lanczos algorithm. Both the present method and the Lanczos algorithm without preconditioning are applied to numerical example, respectively. The Convergence of the two methods are compared. The computational cost is significantly reduced by the proposed method. The numerical results show the exactitude and effectiveness of the reanalysis algorithm.
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一种附加自由度拓扑修改的静态再分析新方法
提出了一种具有附加自由度的拓扑修饰的结构静力再分析新方法。该方法易于实现,适用于随着自由度的增加而进行修改的情况。根据原系统的分析结果,选择合适的预调节器,并通过Lanczos算法得到改进结构的响应。本文方法和不加预处理的Lanczos算法分别应用于数值算例。比较了两种方法的收敛性。该方法大大降低了计算量。数值结果表明了该再分析算法的准确性和有效性。
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