A hybrid finite element approach to modeling sound radiation from circular and rectangular ducts

The Journal of the Acoustical Society of America
Wenbo Duan, Ray Kirby

Abstract

A numerical model based on a hybrid finite element method is developed that seeks to join sound pressure fields in interior and exterior regions. The hybrid method is applied to the analysis of sound radiation from open pipes, or ducts, and uses mode matching to couple a finite element discretization of the region surrounding the open end of the duct to wave based modal expansions for adjoining interior and exterior regions. The hybrid method facilitates the analysis of ducts of arbitrary but uniform cross section as well the study of conical flanges and here a modal expansion based on spherical harmonics is applied. Predictions are benchmarked against analytic solutions for the limiting cases of flanged and unflanged circular ducts and excellent agreement between the two methods is observed. Predictions are also presented for flanged and unflanged rectangular ducts, and because the hybrid method retains the sparse banded and symmetric matrices of the traditional finite element method, it is shown that predictions can be obtained within an acceptable time frame even for a three dimensional problem.

References

Feb 25, 2000·The Journal of the Acoustical Society of America·N AmirS Shtrikman
Apr 28, 2001·The Journal of the Acoustical Society of America·A SelametR A Kach
Jul 16, 2005·The Journal of the Acoustical Society of America·C K Lau, S K Tang
Apr 29, 2006·The Journal of the Acoustical Society of America·Jane B Lawrie, Ray Kirby
Dec 10, 2008·The Journal of the Acoustical Society of America·Ray Kirby
Apr 8, 2010·The Journal of the Acoustical Society of America·Samuel SinayokoAlan McAlpine

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Citations

Nov 5, 2013·The Journal of the Acoustical Society of America·Wenbo DuanKirill V Horoshenkov
Jul 2, 2018·The Journal of the Acoustical Society of America·Simon FélixMatthew A Boucher
Aug 5, 2018·The Journal of the Acoustical Society of America·Dorel Homentcovschi, Romeo Bercia

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