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对于子结构系统的振动分析,基于简单的G-I静态混聚算法,根据多重子结构系统的逐级组装与凝聚的特点,推导了结构树周游的子空间迭代法的计算公式,提出了一种完全不同于模态综合技术的动态超单元多重子结构方法,又根据频率截止原则及多级超单元的静态缩聚原理提出了结构树的部分周游策略。理论推导与数值算例表明,方法具有高效、准确的特点,适用于任意多级多支的子结构系统。
For the vibration analysis of substructure systems, based on the simple G-I static mixing algorithm, according to the characteristics of cascade assembly and aggregation of multiple substructure systems, the calculation formula of the subspace iteration method for the tree travel is deduced. It is totally different from the dynamic subunit multiple substructure method of modal synthesis technology. According to the principle of frequency cutoff and the principle of static polycondensation of multistage superelements, some strategies for traveling around the structure tree are proposed. Theoretical derivation and numerical examples show that the method is efficient and accurate, and is applicable to any multi-level and multi-branch sub-structure systems.