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有限元模型的动力缩聚法已被广泛地应用到大阶系统的特征分析、试验-分析模型的相关分析等领域中。本文从逆迭代法出发,导出了一种有限元模型动力缩聚迭代方法。该方法具有三个显著的优点:其一是收敛速度远远超过现有的动力缩聚迭代法;其二是该迭代法的收敛性可从理论上得到保证;其三是由于没有必要在每次迭代中都去计算降阶系统的刚度矩阵、质量矩阵和特征问题,因而可减少计算工作量,尤其在主自由度数较大的情况下。
Dynamic finite element model of polycondensation has been widely applied to large-scale systems, features analysis, test-analysis model of the correlation analysis and other fields. Based on the inverse iterative method, this paper derives a dynamic polycondensation iterative method for finite element model. The method has three significant advantages: one is that the convergence speed far exceeds that of the existing dynamical polycondensation iteration method; the other is that the convergence of the iterative method can be theoretically guaranteed; and the third is that it is not necessary at every time In iterations, the stiffness matrices, mass matrices, and feature problems of the reduced order system are calculated, thereby reducing the computational effort, especially when the number of major degrees of freedom is large.