基于解析法的多倾斜壁面不规则声腔声场特性分析

Analysis of Acoustic Field Characteristics of Irregular Multi-inclinedWall Cavity Based on Analytical Method

基于解析法研究声腔形状由规则的矩形变化到有多个倾斜壁面的复杂声腔时,声腔声场模态自由振动特性的改变。研究表明不规则声腔模态的自由振动特性取决于倾斜壁面的位置、个数和声腔模态序数3个因素。当不规则声腔模态序数仅在平行于倾斜壁面的轴向不为零时,其共振频率几乎不受倾斜壁面变化的影响。而当其模态序数在不平行于倾斜壁面的2个轴向至少有一个正整数时,其共振频率会随着倾斜壁面的改变而发生变化。同时,将解析法结果与有限元法的计算结果进行比较,验证理论模型的正确性。

The free vibration characteristics of the sound field mode of the acoustic cavity are studied based on the analytical method in the case that the acoustic cavity varies from a regular rectangle one to a complex one with multiple inclined walls.The results show that the free vibration characteristics of the irregular cavity modes depend on the positions of the inclined walls,the number and the order of the cavity modes.When the modal order of the irregular cavity is non-zero only in the axial direction parallel to the inclined wall,its resonance frequency is almost independent of the change of the inclined wall.When the modal order is at least one positive integer in two axes that are not parallel to the inclined wall,the resonance frequency will change with the change of the inclined wall.At the same time,the results of the analytical method and finite element method are mutually compared and the correctness of the theoretical model is verified.