Xin F X, Lu T J, Chen C Q
MOE Key Laboratory for Strength and Vibration, School of Aerospace, Xi'an Jiaotong University, Xi'an, People's Republic of China.
J Acoust Soc Am. 2008 Dec;124(6):3604-12. doi: 10.1121/1.3006956.
A theoretical study on the vibroacoustic performance of a rectangular double-panel partition clamp mounted in an infinite acoustic rigid baffle is presented. With the clamped boundary condition taken into account by the method of modal function, a double Fourier series solution to the dynamic response of the structure is obtained by employing the weighted residual method (i.e., the Galerkin method). The double series solution can be considered as the exact solution of the problem, as the structural and acoustic-structural coupling effects are fully accounted for and the solution converges numerically. The accuracy of the theoretical predictions is checked against existing experimental data, with good agreement achieved. The influence of several key parameters on the sound isolation capability of the double-panel configuration is then systematically studied, including panel dimensions, thickness of air cavity, elevation angle, and azimuth angle of incidence sound. The present method is suitable for double-panel systems of finite or infinite extent and is applicable for both low- and high-frequency ranges. With these merits, the proposed method compares favorably with a number of other approaches, e.g., finite element method, boundary element method, and statistical energy analysis method.
本文给出了关于安装在无限大刚性声学障板中的矩形双面板隔断夹的振动声学性能的理论研究。通过模态函数法考虑夹紧边界条件,采用加权残值法(即伽辽金法)得到了结构动态响应的双傅里叶级数解。由于充分考虑了结构和声学-结构耦合效应且该解在数值上收敛,因此该双级数解可被视为该问题的精确解。将理论预测的精度与现有的实验数据进行了对比,结果吻合良好。随后系统研究了几个关键参数对双面板结构隔音能力的影响,包括面板尺寸、空气腔厚度、仰角和入射声的方位角。本文方法适用于有限或无限范围的双面板系统,并且适用于低频和高频范围。具有这些优点,本文提出的方法与其他一些方法相比具有优势,例如有限元法、边界元法和统计能量分析法。