Re-expansion method for circular waveguide discontinuities: application to concentric expansion chambers.

The Journal of the Acoustical Society of America
Dorel Homentcovschi, Ronald N Miles

Abstract

The paper applies the re-expansion method for analyzing planar discontinuities at the junction of two axi-symmetrical circular waveguides. The normal modes in the two waveguides are expanded at the junction plane into a system of functions accounting for velocity singularities at the corner points. As the new expansion has a high convergence order, only a few terms have to be considered for obtaining the solution of most practical problems. This paper gives the equivalent impedance accounting for nonplanar waves into a plane-wave analysis and also the scattering matrix describing the coupling of arbitrary modes at each side of the discontinuity valid in the case of many propagating modes in both sides of the duct. The last section applies the re-expansion technique to some concentric expansion chambers providing an explicit formula for the transmission loss coefficient.

References

Apr 6, 2007·The Journal of the Acoustical Society of America·WenPing BiYves Aurégan
Jul 7, 2007·The Journal of the Acoustical Society of America·WenPing BiYves Aurégan
Dec 10, 2008·The Journal of the Acoustical Society of America·Ray Kirby
Aug 17, 2010·The Journal of the Acoustical Society of America·Dorel Homentcovschi, Ronald N Miles

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Citations

Jun 22, 2015·The Journal of the Acoustical Society of America·Dorel Homentcovschi, Ronald N Miles
Aug 5, 2018·The Journal of the Acoustical Society of America·Dorel Homentcovschi, Romeo Bercia
May 3, 2019·The Journal of the Acoustical Society of America·Jerry H Ginsberg

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