Wang Gang, Li Wen L, Du Jingtao, Li Wanyou
College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, China.
Advanced Engineering and Technologies, 8446 Chatham Drive, Canton, Michigan 48187, USA.
J Acoust Soc Am. 2016 Feb;139(2):684-92. doi: 10.1121/1.4941653.
The break-out sound from a cavity via an elastically mounted panel is predicted in this paper. The vibroacoustic system model is derived based on the so-called spectro-geometric method in which the solution over each sub-domain is invariably expressed as a modified Fourier series expansion. Unlike the traditional modal superposition methods, the continuity of the normal velocities is faithfully enforced on the interfaces between the flexible panel and the (interior and exterior) acoustic media. A fully coupled vibro-acoustic system is obtained by taking into account the strong coupling between the vibration of the elastic panel and the sound fields on the both sides. The typical time-consuming calculations of quadruple integrals encountered in determining the sound power radiation from a panel has been effectively avoided by reducing them, via discrete cosine transform, into a number of single integrals which are subsequently calculated analytically in a closed form. Several numerical examples are presented to validate the system model, understand the effects on the sound transmissions of panel mounting conditions, and demonstrate the dependence on the size of source room of the "measured" transmission loss.
本文预测了通过弹性安装面板的空腔的 breakout 声音。振动声学系统模型是基于所谓的光谱几何方法推导出来的，在该方法中，每个子域上的解始终表示为修正的傅里叶级数展开。与传统的模态叠加方法不同，法向速度的连续性在柔性面板与（内部和外部）声学介质之间的界面上得到了切实的保证。通过考虑弹性面板振动与两侧声场之间的强耦合，得到了一个完全耦合的振动声学系统。通过离散余弦变换将确定面板声功率辐射时遇到的典型耗时的四重积分简化为多个单积分，随后以封闭形式进行解析计算，有效地避免了这些计算。给出了几个数值例子来验证系统模型，了解面板安装条件对声音传输的影响，并证明“测量”传输损耗对源房间大小的依赖性。
