DYNAMIC CHARACTERISTICS OF MULTIPLE SUBSTRUCTURES WITH CLOSELY SPACED FREQUENCIES
DYNAMIC CHARACTERISTICS OF MULTIPLE SUBSTRUCTURES WITH CLOSELY SPACED FREQUENCIES
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DOI：
10.1002/eqe.4290211203
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发表时间：
1992-12-01
影响因子：
4.5
通讯作者：
IGUSA, T
中科院分区：
文献类型：
--
作者：
XU, KM;IGUSA, T
本文考虑一个主结构支撑大量的子结构。子结构的固有频率间隔很近，主结构/多子结构组合系统受到谐波或宽带力的作用。研究了子结构对主结构响应的影响，具体分析了子结构为等刚度、等频率振子的基本情况.组合系统的精确响应表达式是一个复杂的有理多项式。然而，通过采取限制的子结构的数量变得很大，响应表达式减少到简单的，物理上有意义的结果。结果表明，多个子结构等效于一个附加在主结构阻尼上的粘性阻尼。算例说明了所得结果如何应用于大型结构的被动振动控制。
This paper considers a main structure supporting a large number of substructures. The substructures have closely spaced natural frequencies, and the combined main structure/multiple substructures system is subjected to harmonic or wide-band forces. The goal is to characterize the effects of the substructures on the response of the main structure.A special, fundamental case is studied in detail, where the substructures are oscillators with equal stiffnesses and equally spaced natural frequencies. The exact response expressions for the combined system are in terms of a complicated rational polynomial. However, by taking the limit where the number of substructures becomes large, the response expressions reduce to simple, physically meaningful results. It is found that the multiple substrutures are equivalent to a single viscous damping which is added to the damping of the main structure. An example illustrates how the results can be applied to passive vibration control of large structures.