Optimum Design for Inlet and Outlet Locations of Circular Expansion Chamber for Improving Acoustic Performance

원형 단순 확장소음기의 성능향상을 위한 입.출구 위치의 최적설계

An, Se-Jin;Kim, Bong-Jun;Jeong, Ui-Bong

  • Published : 2000.10.01


The acoustic characteristics of expansion chamber will be changed with the variation of inlet/outlet location due to the higher order acoustic mode in a high frequency in which the plane wave theory is not available. In this paper, the acoustic performance of reactive type expansion chamber with circular cross-section is analyzed by using the modified mode matching theory. The sensitivity analysis of four-pole parameters with respect to the location of inlet and outlet is also suggested to increase the acoustic performance. The acoustic power transmission coefficient is used as cost function, and the location of inlet and outlet is used as design variables. The steepest descent method and SUMT algorithm are used for optimization technique. Several results showed that the expansion chamber with optimally located inlet/outlet had better acoustic performance than concentric expansion chamber.


Optimum Design;Muffler;Higher Order Mode;Inlet/Outlet Location;Four Pole Parameter;Transmission Loss


  1. Sahasrabudhe, A.D., Munjal, M.L., S.Anantha Ramu, 1992, 'Design of Expansion Chamber Mufflers Incorporating 3-D Effects,' Noise Control Engineering Journal, Vol. 38(1), pp. 27-38
  2. 김봉준, 정의봉, 황상문 1999, '사각형 단순 확장소음기의 성능향상을 위한 입/출구 위치의 최적설계,' 한국소음진동공학회지 제9권, 제4호, pp. 738-746
  3. Jasbir, S. Arora, 1980, Optimum Design, McGraw-Hill
  4. Eriksson, L.J., 1980, 'Higher Mode Effects in Circular Ducts and Expansion Chambers,' Journal of the Acoustical Society of America, Vol. 68, pp. 545-550
  5. Eriksson, L.J., 1982,'Effects of Inlet/Outlet Locations on Higher order modes in Silencers,' Journal of the Acoustical Society of America, Vol. 72, pp. 1208-1211
  6. 김봉준, 정의봉, 황상문, 1999, '원형단순확장관의 입·출구 위치와 단면 크기를 고려한 음향해석법,' 한국소음진동공학회지, 제9권, 제5호, pp. 914-921
  7. 김봉준, 정의봉, 이정환, 2000, '임의의 모드를 가지는 모드적합법을 사용한 원형단순확장관의 음향 해석,' 한국음향학회지, 제19권, 제1호, pp. 54-60
  8. 김봉준, 정의봉, 이정환, 2000, '임의의 입출구 위치를 가지는 소음기해석을 위한 개선된 모드일치법,' 대한기계학회논문집, 제24권, 제5호, pp. 1314-1322
  9. Munjal, M.L., 1987, '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,' Journal of Sound and Vibration, Vol. 116, pp. 71-88
  10. Abom, M., 1990, 'Derivation of Four-Pole Parameters Including Higher Order Mode Effects for Expansion Chamber Mufflers with Extended Inlet and Outlet,' Journal of Sound and Vibration, Vol. 137, pp. 403-418
  11. 김봉준, 정의봉, 황상문, 1999, '고차모드를 고려한 사가형 단순 확장관의 간편음향 해석법의 개선,' 한국소음진동공학회지, 제9권, 제2호, pp. 304-347
  12. Kim, Y.-H.;Choi, J.-W., and Lim, B.-D., 1990, 'Acoustic Characteristics of an Expansion with Constant Mass Flow and Steady Temperature Gradient( Theory & Numerical simulation),' Trans. J. Vib. Acoust. ASME Vol. 81, pp. 460-467
  13. Kim, Y.-H., and Kang, S.-W., 1993, 'Green's Solution of the Acoustic Wave Equation for a Circular Expansion Chamber with Arbitary Locations of Inlet, Outlet Port, and Termination Impedance,' Journal of the Acoustical Society of America, Vol. 94, pp. 473-490
  14. Miles, J., 1944, 'The Reflection of Sound due to Change in Cross Section of a Circular,' Journal of the Acoustical Society of America, Vol. 16, pp. 14-19
  15. El-Sharkawy, A.I., and Nayfeh, A.H., 1978, 'Effect of an Expansion Chamber on the Propagation of Sound in Circular Ducts,' Journal of the Acoustical Society of America, Vol. 63, pp. 667-674
  16. Jeong-Guon Ih and Byung-Ho Lee, 1985, 'Analysis of Higher-Order Mode Effect in the Circular Expansion Chamber with Mean Flow,' Journal of the Acoustical Society of America, Vol. 77, pp. 1377-1388
  17. Crocker, M.J., 1984, Noise Control, Van Nostrand Reinhold Company Inc.