矩形域声—固耦合系统的分析方法

运用特征值与模态展开法相结合的方法，研究双向耦合结构-声场系统；分析声学和结构耦合响应；讨论结构驱动点阻抗与声介质特性阻抗比率和声—固耦合引起声波共振频率的变化之间的关系，提出了以声-固耦合引起声波共振频率的变化作为判据，判断何时采用双向耦合分析方法。

Analysis Method of Structure-acoustic Coupled Systems

An analysis of two-way coupled structural-acoustic systems has been presented in this paper. A particular solution approach in conjunction with the modal expansion method has been applied to solve such coupled systems. For this domain, numerical results of the mode shapes which show the dominance of acoustic and structural resonances have been presented. The ratio of the structural driving point impedance to the acoustic characteristic impedance has been studied in an effort to identify when the fully coupled structural-acoustic analysis is necessary. The change of structural resonant frequencies due to the coupling is studied as a function of the impedance ratio. It is found that the changes of structural resonant frequencies tend to peak near where the impedance ratio is unity. These changes can be used as a standard to decide when to use the two-way coupled analysis.