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An approach for structural static reanalysis with unchanged number of degrees of freedom

机译:一种自由度不变的结构静态再分析方法

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摘要

This paper presents an approach for structural static reanalysis with unchanged number of degrees of freedom. Preconditioned conjugate gradient method is employed, and a new preconditioner is constructed by updating the Cholesky factorization of the initial stiffness matrix with little cost. The proposed method preserves the ease of implementation and significantly improves the quality of the results. In particular, the accuracy of the approximate solutions can adaptively be monitored. Numerical examples show that the condition number of preconditioned system using the new preconditioner is much smaller than that using the initial stiffness matrix as the preconditioner. Therefore, the fast convergence and accurate results can be obtained by the proposed approach.
机译:本文提出了一种在结构自由度不变的情况下进行结构静力再分析的方法。采用了预处理的共轭梯度法,并以较少的成本更新了初始刚度矩阵的Cholesky分解,从而构造了一种新的预处理器。所提出的方法保留了实施的简便性并显着提高了结果的质量。特别地,可以自适应地监视近似解的准确性。数值算例表明,与采用初始刚度矩阵作为预处理器的条件相比,采用新型预处理器的条件系统的条件数要小得多。因此,该方法可以实现快速收敛和准确的结果。

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