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An iterative state-space component modal synthesis approach for damped systems

机译:用于阻尼系统的迭代状态空间组件模态合成方法

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摘要

Efficiently calculating the high precision modal parameters and/or reduce-order model of large-scale and/or complicated damped structures are important in engineering applications such as optimal design, model modification and updating tasks. In this paper, an iterative procedure based state-space component modal synthesis method is developed to address the problem. The Kron's substructuring method is modified into a state-space form first to include damping effects and the defectiveness of components and global system. Then an iterative scheme is developed to seek all desired complex eigen-pairs simultaneously in one round of iterations without complex operations. The consistency of the proposed method is proved and the convergency is briefly discussed for integrity. A detailed implementation is given for reference. Compared with other methods for solving modal parameters and/or model order reduction, the proposed method has such merits as high computational efficiency and still in a substructuring scheme. Numerical examples show that the proposed method can provide highly accurate results with low computational cost.
机译:有效地计算大型模态参数和/或大规模和复杂阻尼结构的缩小阶模型在工程应用中很重要,例如最佳设计,模型修改和更新任务。在本文中,开发了一种迭代过程的状态空间分量模态合成方法来解决问题。首先修改Kron的子结构方法以包括阻尼效应和组件和全球系统的缺陷。然后开发了一种迭代方案,以在一轮迭代中同时寻求所有所需的复杂特征对,而无需复杂的操作。证明了该方法的一致性,并简要讨论了完整性的收敛性。提供详细的实现参考。与用于解决模态参数和/或模型顺序减少的其他方法相比,所提出的方法具有高计算效率并且仍处于子结构方案。数值示例表明,该方法可以提供低计算成本的高精度结果。

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