Mode-matching without root-finding: application to a dissipative silencer

The Journal of the Acoustical Society of America
Jane B Lawrie, Ray Kirby

Abstract

This article presents an analytic mode-matching approach suitable for modelling the propagation of sound in a two-dimensional, three-part, ducting system. The approach avoids the need to find roots of the characteristic equation for the middle section of the duct (the component) and is readily applicable to a broad class of problems. It is demonstrated that the system of equations, derived via analytic mode-matching, exhibits certain features which ensure that they can be recast into a form that is independent of the roots of the characteristic equation for the component. The precise details of the component are irrelevant to the procedure; it is required only that there exists an orthogonality relation, or similar, for the eigenmodes corresponding to the propagating wave forms in this region. The method is applied here to a simple problem involving acoustic transmission through a dissipative silencer of the type commonly found in heating ventilation and air-conditioning ducts. With reference to this example, the silencer transmission loss is computed, and the power balance for the silencer is investigated and is shown to be an identity that is necessarily satisfied by the system of equations, regardless of the level of truncat...Continue Reading

References

Nov 15, 2002·The Journal of the Acoustical Society of America·Lixi Huang

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Citations

May 13, 2014·The Journal of the Acoustical Society of America·Ray KirbyJames Hill
Jun 10, 2008·The Journal of the Acoustical Society of America·Lei Cheng, Karl Grosh
Jan 12, 2011·The Journal of the Acoustical Society of America·Benoit NennigMabrouk Ben Tahar
May 9, 2012·The Journal of the Acoustical Society of America·Wenbo Duan, Ray Kirby
May 9, 2012·The Journal of the Acoustical Society of America·Benoit NennigYves Aurégan
Mar 20, 2012·The Journal of the Acoustical Society of America·Jane B Lawrie
Feb 6, 2008·The Journal of the Acoustical Society of America·Ray Kirby, Francisco D Denia
Jun 22, 2015·The Journal of the Acoustical Society of America·Benoit NennigNicolas Dauchez
Mar 3, 2020·The Journal of the Acoustical Society of America·D Veerababu, B Venkatesham
Jul 3, 2020·The Journal of the Acoustical Society of America·Paul WilliamsJames Hill
Nov 3, 2017·The Journal of the Acoustical Society of America·Lei XiongWenping Bi
Aug 6, 2020·The Journal of the Acoustical Society of America·Muhammad Afzal, Sajid Shafique

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