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A new method of reanalysis: multi-sample compression algorithm for the elastoplastic FEM

机译:重新分析的新方法:弹塑性有限元的多样本压缩算法

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摘要

Reanalysis is an efficient method to reduce the computational costs. For the nonlinear FEM, reanalysis based on single convergent solutions is still developing. A new reanalysis method, a multi-sample compression algorithm for elastoplastic FEM, is presented. This method consists of two strategies. First, based on the solved-sample, the approximate displacement of a solving-sample could be estimated by the method of displacement predicted, and serve as the initial value for the iterative computation. Second, the iterative stiffness of the solved-sample is applied in the solution of the solving-sample, which avoids the time-consuming decomposition of the stiffness. Examples of the thick-walled cylinder subjected to inner pressure are illustrated here. The results show that the new method is applicable when variables vary greatly, and significantly reduces the computational costs. This method is useful to obtain the convergent solutions for the elastoplastic nonlinear FEM for multi-sample conditions.
机译:重新分析是降低计算成本的有效方法。对于非线性有限元,基于单收敛解的重新分析仍在发展中。提出了一种新的重新分析方法,即弹塑性有限元的多样本压缩算法。该方法包括两种策略。首先,基于求解样本,可以通过预测的位移方法估计求解样本的近似位移,并将其作为迭代计算的初始值。其次,将求解样本的迭代刚度应用于求解样本的解中,这避免了耗时的刚度分解。这里示出了承受内压的厚壁圆筒的例子。结果表明,该方法适用于变量变化较大的情况,大大降低了计算量。该方法对于获得多样本条件下的弹塑性非线性有限元法的收敛解很有用。

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