结构一般布局修改的静力重分析方法
Structural static reanalysis for general layout modifications
本文针对一般结构布局修改静力重分析问题,提出了一种预条件共轭梯度方法。根据结构修改前的信息构造了相应的预条件矩阵,建立了实用的算法并讨论了算法的计算复杂性。本文方法能自适应地监视与改进逼近精度,适用于一般的有限元系统。数值例子显示了该方法的有效性。
his paper presents a static reanalysis method for general layout modifications. The method is based on the preconditioned conjugate gradient technique. A preconditioned conjugate gradient approach is developed. The preconditioner is constructed, and an efficient implementation for applying the preconditioner is presented. The implementation involves only decomposition of the stiffness matrix corresponding to the newly added degrees of freedom. In particular, the approach can adaptively monitor the accuracy of approximate solutions. Numerical examples show that the condition number of the selected preconditioned matrix is largely reduced. Therefore the fast convergence and accurate results can be achieved by the approach.
李正光、吴柏生
工程基础科学
一般布局修改,重分析,预条件矩阵,共轭梯度法
Layout modification Static reanalysis Preconditioner PCG approach
李正光,吴柏生.结构一般布局修改的静力重分析方法[EB/OL].(2005-11-07)[2025-08-23].http://www.paper.edu.cn/releasepaper/content/200511-100.点此复制
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