Reanalysis of structural modifications due to removal of degrees of freedom
Reanalysis of structural modifications due to removal of degrees of freedom
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DOI：
10.1007/s00707-005-0264-9
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发表时间：
2005-10
期刊：
影响因子：
2.7
通讯作者：
Baisheng Wu;Z. G. Li
中科院分区：
文献类型：
--
作者：
Baisheng Wu;Z. G. Li
本文论述了由于自由度的去除而引起的结构修改的重新分析。提出了一种预条件共轭梯度法来求解这类问题。构造了预条件子，并给出了一种有效的预条件子实现方法，该方法仅依赖于初始设计时刚度矩阵的分解。特别是，该方法可以自适应地监控近似解的精度。数值算例表明，与原矩阵的条件数相比，预条件矩阵的条件数大大减少。因此，快速收敛和准确的结果，可以实现所提出的方法。
This paper deals with reanalysis of structural modifications due to the removal of degrees of freedom. A preconditioned conjugate gradient approach is developed to solve such problems. The preconditioner is constructed, and an efficient implementation for applying the preconditioner is presented, which only depends on the existing decomposition of the stiffness matrix for the initial design. In particular, the approach can adaptively monitor the accuracy of approximate solutions. Numerical examples show that, compared with the condition number of the original matrix, the condition number of the preconditioned matrix is largely reduced. Fast convergence and accurate results can thus be achieved by the proposed approach.