一种新的结构矩阵缩聚迭代法
A New Iterative Method for Condensation of Structural Matrices
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摘要: 为了给有限元模型降阶,使有限元模型的自由度和实验模型的自由度相一致,从修改后的系统的特征方程出发,推导出一个新的反映主副自由度变换关系的计算动力缩聚矩阵的迭代公式.通过数值计算,与已有的动力缩聚迭代公式相比,它的收敛速度更快,而且稳定性好、精度高.Abstract: In order to reduce the degree of freedom of finite element models to make it consistent with corresponding experimental degree of freedom, based on the modified system eigen-equation, a new iterative dynamic condensation formula, which reflects the transforming relation between system's major and minor degrees of freedom has been deduced. Through numerical calculation and comparison with the existed iterative dynamic condensation formulas, the new formula's convergence rate is quicker with better stability and higher accuracy.