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A two-dimensional approach for sound attenuation of multi-chamber perforated resonator and its optimal design

机译：多腔穿孔谐振器消声的二维方法及其优化设计

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摘要

A two-dimensional (2D) method is investigated to predict the acoustic performances of single-chamber perforated reactive resonators. The effect of non-planar wave propagation on the acoustic performance of acoustically short and long resonator is studied. A desirable resonance behavior appears in acoustically short chamber substantially below the cut-off frequency due to non-planar wave propagation. Adding inlet/outlet extensions has similar effects to that of reducing perforation rate on acoustic performances for short-length perforated resonators. Based on the 2D approach, a 2D transfer matrix method (TMM) is developed through solving the acoustical continuity functions under two outlet boundary conditions to predict the acoustic performances of multi-chamber perforated resonators (MCPRs) which can attenuate broadband noise. Comparisons between the calculations and tests show that the 2D TMM is much more accurate than one-dimensional approach within entire frequency range. In order to evaluate its engineering applicability, a new optimization procedure including a targeted transmission loss curve and a reasonable objective function is introduced to optimize the structure parameters of a MCPR with three chambers using a genetic algorithm. The result can meet the target well at desired frequencies under space constraint. The theoretical method developed in this work can be used for the calculation and optimization of MCPRs in various applications. (C) 2017 Elsevier Ltd. All rights reserved.
机译：研究了一种二维（2D）方法来预测单腔穿孔反应堆的声学性能。研究了非平面波传播对短和长谐振腔声学性能的影响。由于非平面波传播，期望的共振行为在基本上低于截止频率的声学短腔中出现。增加入口/出口延伸与减少穿孔率对于短长度穿孔谐振器的声学性能具有相似的效果。基于二维方法，通过求解两个出口边界条件下的声学连续性函数，开发了二维转移矩阵方法（TMM），以预测可衰减宽带噪声的多室穿孔谐振器（MCPR）的声学性能。计算和测试之间的比较表明，在整个频率范围内，二维TMM比一维方法要精确得多。为了评估其工程适用性，引入了一种新的优化程序，包括目标传输损​​耗曲线和合理的目标函数，以使用遗传算法优化具有三个腔室的MCPR的结构参数。结果可以在空间限制下以所需频率很好地满足目标。在这项工作中开发的理论方法可用于各种应用中的MCPR的计算和优化。 （C）2017 Elsevier Ltd.保留所有权利。

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