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多分支HQ管模型的传声损失分析

Analysis of the acoustic transmission loss of multi-branch HQ tube structure

  • 摘要: 通过波动方程建立了多分支赫歇尔-昆克(Herschel-Quincke,HQ)管的传声损失模型,该模型可计算包含任意数量、不同管径和不同管长组合的HQ管模型。通过与前人的计算结果进行比较,验证了该方法的有效性。并通过数值计算,分析讨论了不同参数(如HQ管的长度和直径、HQ管分支数量)对多分支HQ管传声损失的影响。结果表明:在总横截面积相等的情况下,多分支HQ管吸声性能与单分支HQ管相同;改变管道的长度可以改变共振频率;比较频率平均传声损失,HQ管长度不统一的结构的声学特性优于长度统一的结构。

     

    Abstract: The acoustic transmission loss model of multi-branch HQ tube is established based on the wave equation. The proposed model can be used to calculate the HQ tube model with any number of branches, different diameters and/or lengths. The effectiveness of the method is verified by comparison with previous calculations. Then, the influence of different physical parameters, such as the length and diameter of HQ tube and the number of HQ tube branches, on the acoustic transmission loss of multi-branch HQ tube is analyzed and discussed in detail. The calculation results show that the acoustic transmission loss of multi-branch HQ tube is the same as that of a single-branch HQ tube when the total cross-section areas of both are equal; and changing the length of the HQ tube can change its resonance frequency. By comparing the average acoustic transmission loss in frequency domain, it can be seen that the acoustic performance of the HQ tube structure with different lengths is superior to that with united length.

     

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