经典参数在多结构耦合系统统计能量分析中的应用

直接和间接耦合损耗因子是用统计能量分析方法研究多结构耦合系统振动响应的关键参数，也是急待解决的问题之一。本文提出了用经典统计能量分析参数计算多结构耦合系统的直接和间接耦合损耗因子的方法。其优点是利用经典统计能量分析已取得的成果解决了多子结构耦合系统的问题。文中首先推导了经典的双子结构耦合系统的耦合损耗因子和结构参数的关系，然后研究了多子结构耦合系统的直接和间接耦合损耗因子与结构参数的关系，最后推导得到多子结构耦合系统的直接和间接耦合损耗因子和经典统计能量分析中的耦合损耗因子的关系。以三子结构耦合系统为例进行了实验测量，直接、间接耦合损耗因子和结构振动响应的实验测量值与理论预测结果吻合较好。

Application of Classical Parameters in Statistical Energy Analysis of Multi Structure Systems

The direct and indirect coupling loss factors are key parameters to investigate the dynamic responses of multi structure systems by statistical energy analysis (SEA), and have not been solved up to now. In this paper, the method of calculating the direct and indirect coupling loss factors for multi structure systems by using the coupling loss factors of classical SEA is introduced. The advantage of the method is to predict the direct and indirect coupling loss factors making full use of the achievement of classical SEA. First, the relationship between the direct and indirect coupling loss factors of dual structure systems and the parameters of coupled structures is derived. Then, the relationship between the coupling loss factors of classical SEA and the parameters of multiple coupled structures is studied. Finally, the relationship between the direct and indirect coupling loss factors and classical coupling loss factors is derived. The direct and indirect coupling loss factors of a coupled system with three substructures are predicted by using this method, and the measured data agree well with the predicted results.