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A hybrid modal decomposition approach for higher-order modes in circular ducts

机译：圆管中高阶模态的混合模态分解方法

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摘要

Before it is possible to determine the effect over a wide frequency range of different aperture devices on the sound field in a duct, the contribution from the individual higher-order modes must be established. Two approaches to decompose the sound field may be taken which are either to use a large number of microphone locations to reconstruct the sound field, or to use a hybrid method involving a reduced set of microphone locations and a model of the sound field in the system. Modeling the higher-order modes in a duct is itself a numerically intensive procedure if fully coupled calculations are required. It is possible to simplify the process for modeling the sound field by using uncoupled calculations for the higher order modes. Results are presented for such a hybrid approach, combining a limited number of microphone locations with an uncoupled model, to establish the sound field in a circular duct. Both point source and plane wave sources are considered and direct measurement of the sound field is compared to the reconstructed field for a normalized wave number range up to 7. Results show acceptable agreement between the hybrid approach and direct measurement with the greatest errors occurring around cut-on of the axially anti-symmetric modes. Thus, it is demonstrated that a hybrid approach may be applied to ducts with simple sources and that the approach can be used to deconstruct the in-duct sound field into the individual higher-order mode contributions
机译：在有可能确定不同孔径设备在很宽的频率范围内对管道中声场的影响之前，必须确定各个高阶模式的贡献。可以采用两种方法分解声场，一种是使用大量的麦克风位置来重建声场，或者使用一种混合方法，该方法涉及减少的麦克风位置集和系统中的声场模型。如果需要完全耦合的计算，则在管道中对高阶模进行建模本身就是一个数字密集的过程。通过对高阶模式使用非耦合计算，可以简化对声场建模的过程。提出了这种混合方法的结果，将有限数量的麦克风位置与非耦合模型结合在一起，以在圆形管道中建立声场。考虑到点源和平面波源，并将声场的直接测量与重构场进行比较，以归一化的波数范围最大为7。结果显示，混合方法与直接测量之间的可接受一致性，且在切口周围出现最大误差轴向反对称模式。因此，证明了可以将混合方法应用于具有简单源的管道，并且该方法可以用于将管道内声场解构为各个高阶模式贡献。

著录项

  • 来源
    《Applied Acoustics》 |2013年第1期|122-133|共12页
  • 作者

    J.L. Horner; Y.Hu;

  • 作者单位

    Department of Aeronautical & Automotive Engineering, Loughborough University, Loughborough LE11 3TU, United Kingdom;

    Department of Aeronautical & Automotive Engineering, Loughborough University, Loughborough LE11 3TU, United Kingdom;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    higher-order modes; modal decomposition; sound transmission in circular ducts;

    机译：高阶模式模态分解圆形管道中的声音传输;

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