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WEAK AND STRONG COUPLING IN STATISTICAL ENERGY ANALYSIS: A MODAL PERSPECTIVE

机译:统计能量分析中疲软和强的耦合:模态的观点

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The SEA equations involve various assumptions and approximations, one of which is that the various subsystems are weakly coupled. This paper considers what is meant by strong coupling and how it can be quantified in terms of the modes of the system. The modes of the system as a whole are used to determine the subsystem energies and hence, when averaged over a suitably wide frequency band, the coupling loss factors. These are seen to depend on the modal overlap M: for low M (strong coupling) they are proportional to the damping loss factors while for large M (weak coupling) they are independent of damping. There are non-zero indirect coupling loss factors except under two circumstances: if all the modes of the system are local, and in the high M limit of weak coupling. A measure of the coupling strength is found in terms of the statistics of the mode shapes of the system. A numerical example is given.
机译:海方程涉及各种假设和近似,其中一个是各种子系统是弱耦合的。 本文考虑了强耦合的含义以及如何在系统模式下量化。 作为整体的系统的模式用于确定子系统能量,因此,当在适当宽的频带上平均时,耦合丢失因子。 这些被认为取决于模态重叠M:对于低m(强耦合),它们与阻尼损耗因子成比例,而对于大的M(弱耦合),它们与阻尼无关。 除了两个情况下,存在非零间接耦合损耗因子:如果系统的所有模式都是本地的,并且在弱耦合的高m限制中。 在系统的模式形状的统计方面找到耦合强度的测量。 给出了一个数值例子。

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