A Modified Simple Acoustic Analysis of Rectangular Simple Expansion Chamber with Consideration of Higher Order Modes

고차모드를 고려한 사각형 단순 확장관의 간편음향해석법의 개선

  • 김봉준 (부산대학교 대학원 기계공학부) ;
  • 정의봉 (부산대학교 공과대학 기계공학부) ;
  • 황상문 (부산대학교 공과대학 기계공학부)
  • Published : 1999.04.01

Abstract

The acoustic performance of reactive type single expansion chamber can be calculated theoretically by plane wave theory. But higher order model should be considered to widen the frequency range. Mode matching method has been developed to consider higher order modes, but very complicated algebra should be used. Munjal suggested a numerical collocation method, which can overcome the shortcomings of mode matching method, using the compatibility conditions for acoustic pressure and particle velocity at the junctions of area discontinuities. But the restriction of Munjal's method is that the ratio between the area of inlet(or outlet) pipe and that of chamber must be natural number. In this paper, the new method was suggested to overcome the shortcomings of Munjal's method. The predictions by this method was also compared with those by the finite element method and Munjal's method in order to demonstrate the accuracy of the modified method presented here.

Keywords

References

  1. Acoustics of Ducts and Mufflers M. L. Munjal
  2. Analytical Techniques in the Theory of Guided Waves R. Mittra;S.W.Lee
  3. Journal of the Acoustical Society of America v.16 The Reflection of Sound due to Change in Cross Section of a Circular J. Miles
  4. Journal of Sound and Vibration v.35 Sound Transmission in Curved Duct Bends A. Cummings
  5. Journal of Sound and Vibration v.41 Sound Transmission in 180° Duct Bends of Rectangular Section A. Cummings
  6. Journal of Sound and Vibration v.41 Sound Transmission in a Folded Annular Duct A. Cummings
  7. Journal of the Aoustical Society of America v.63 Effect of an Expansion Chamber on the Propagation of Sound in Circular Ducts A. I. El-Sharkawy;A.H.Nayfen
  8. Journal of the Acoustical Society of America v.77 Analysis of Higher-Order Mode Effects in the Circular Expansion Chamber with Mean Flow Jeong-Guon Ih;Byung-Ho Lee
  9. Journal of the Acoustical Society of America v.79 Three-Dimensional Acoustic Analysis of Circular Expansion Chamber with a Side Inlet and a Side Outlet Sung-Il Yi;Byung-Ho Lee
  10. Journal of the Acoustical Society of America v.81 Three-Dimensional Acoustic Analysis of Circular Expansion Chamber with Side Inlet adn End Outlet Sung-Il Yi;Byung-Ho Lee
  11. Journal of Sound and Vibration v.112 Theoretical Prediction of Transmission Loss of Circular Reversing Chamber Mufflers J. G. Ih;B. H. Lee
  12. Journal of Sound and Vibration v.137 Derivation of Four-Pole Parameters Including Higher Order Mode Effects for Expansion Chamber Mufflers with Extended Inlet and Outlet M. Åbom
  13. Journal of Sound and Vibration v.157 The Reactive Attenuation of Rectangular Plenum Chambers J. G. Ih
  14. Journal of Sound and Vibration v.116 A Simple Numerical Method for Three-Dimensional Analysis of Simple Expansion Chamber Mufflers of Rectangular as well as Circular Cross-section with a Stationary Medium M. L. Munjal