加筋矩形薄板的平均声辐射效率

The average radiation efficiency of a rectangular stiffened thin plate

采取工程等效的方法研究了四边简支矩形加筋薄板的振动与声辐射,推导了点力激励下的平均辐射效率计算公式,并进行了数值仿真和实验验证。理论分析与实验的一致性表明:四边简支情况下矩形加筋薄板与匀质矩形薄板和圆薄板的平均辐射效率公式相似,可以采用模态辐射效率加权平均的方法等效。在中高频段,纵横双向加筋薄板的平均声辐射效率最高,单向加筋薄板次之,匀质平薄板最低;而在低频段及临界频率以上,三种结构平均声辐射效率相差不大。

The vibration and sound radiation of a rectangular stiffened thin plate were investigated by using the method of the engineering equivalence. The average radiation efficiency formula of the rectangular stiffened plate driven by a simple harmonic point force was derived. The numerical simulation and the experiment were implemented. The consistency of the theory analysis and the experiment shows that the average radiation efficiency formula of the rectangular stiffened thin plate is similar to that of the uniform rectangular thin plate and circular thin plate. They are all the weighted mean of the modal radiation efficiency. In the middle and high frequency band, the average radiation efficiency of the crisscross stiffened thin plate is maximal. The unidirectional stiffened thin plate takes the second place, and the uniform thin plate is the minimum. While in the low frequency band and above the critical frequency, there is no significant difference between them.