多点连接结构振动响应的均值导纳法预测

Prediction of Vibration Responses of Multi Point Linked Structure by the Average Mobility Method

本文研究了用均值导纳法预测多点连接结构振动响应的方法，并给出了用耦合结构的均值导纳计算耦合损耗因子的公式，从而克服了经典统计能量分析的弱耦合假设，并使统计能量分析在低频段仍有很高的预测精度。最后，通过实验验证了理论的正确性。

When applying the classical SEA (Statistical Energy Analysis) to predicting the vibration responses of multi point linked structure, it suffers from two shortcomings: (1) precision not quite satisfactory for low frequency band; (2) not quite satisfactory for strong coupling systems. We overcome these two shortcomings by using the average mobility method which requires neither the hypothesis made in classical SEA that density of modes is high nor its assumption of weak coupling. The coupling loss factors η ab and η ba can be calculated with eq.(14). Before calculating η ab and η ba , vibration energy ratios E (a) ba and E (b) ab can be calculated with eq. (12). Fig.2 (energy ratio) and Fig.3 (coupling loss factor) show that calculated results agree fairly well with test data.