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Tytuł artykułu

Effect of Cross-Sectional Area Discontinuities in Closed Hard-Walled Ducts on Frequency of Longitudinal Modes

Autorzy
Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A simple analytical method is developed to estimate frequencies of longitudinal modes in closed hard-walled ducts with discontinuities in a cross-sectional area. The approach adopted is based on a general expression for the acoustic impedance for a plane wave motion in a duct and conditions of impedance continuity at duct discontinuities. Formulae for mode frequencies in a form of transcendental equations were found for one, two and three discontinuities in a duct cross-section. An accuracy of the method was checked by a comparison of analytic predictions with calculation data obtained by use of numerical implementation based on the forced oscillator method with a finite difference algorithm.
Rocznik
Strony
421--435
Opis fizyczny
Bibliogr. 15 poz., wykr.
Twórcy
autor
  • Institute of Fundamental Technological Research Polish Academy of Sciences Pawinskiego 5B, 02-106 Warszawa, Poland, mmeissn@ippt.gov.pl
Bibliografia
  • 1. Kang S.W., Lee J.M. (2000), Eigenmode analysis of arbitrarily shaped two-dimensional cavities by the method of point-matching, Journal of the Acoustical Society of America, 107, 3, 1153-1160.
  • 2. Karal F.C. (1953), The analogous acoustical impedance for discontinuities and constrictions of circular cross section, Journal of the Acoustical Society of America, 25, 2, 327-334.
  • 3. Kergomard J., Garcia A. (1987), Simple discontinuities in acoustic waveguides at low frequencies: critical analysis and formulae, Journal of Sound and Vibration, 114, 3, 465-479.
  • 4. Matsui K. (2010), Linear acoustic field in a closed pipe with an abrupt change in crosssectional area [in German], Acta Acustica united with Acustica, 96, 1, 14-25.
  • 5. Meissner M. (1999), The influence of acoustic nonlinearity on absorption properties of Helmholtz resonators. Part I: theory, Archives of Acoustics, 24, 2, 179-190.
  • 6. Meissner M. (2000), The influence of acoustic nonlinearity on absorption properties of Helmholtz resonators. Part II: experiment, Archives of Acoustics, 25, 2, 175-190.
  • 7. Meissner M. (2007), Computational studies of steady-state sound field and reverberant sound decay in a system of two coupled rooms, Central European Journal of Physics, 5, 3, 293-312.
  • 8. Meissner M. (2009), Computer modelling of coupled spaces: variations of eigenmodes frequency due to a change in coupling area, Archives of Acoustics, 34, 2, 157-168.
  • 9. Miles J.W. (1946a), The analysis of plane discontinuities in cylindrical tubes. Part I, Journal of the Acoustical Society of America, 17, 3, 259-271.
  • 10. Miles J.W. (1946b), The analysis of plane discontinuities in cylindrical tubes. Part II, Journal of the Acoustical Society of America, 17, 3, 272-284.
  • 11. Muehleisen R.T., Swanson D.C. (2002), Modal coupling in acoustic waveguides: planar discontinuities, Applied Acoustics, 63, 12, 1375-1392.
  • 12. Nakayama T., Yakubo K. (2001), The forced oscillator method: eigenvalue analysis and computing linear response functions, Physics Reports, 349, 3, 239-299.
  • 13. Pagneux V., Amir N., Kergomard J. (1996), A study of wave propagation in varying cross-section waveguides by modal decomposition. Part I. Theory and validation, Journal of the Acoustical Society of America, 100, 4, 2034-2048.
  • 14. Sahasrabudhe A.D., Munjal M.L. (1995), Analysis of inertance due to the higher order mode effects in a sudden area discontinuity, Journal of Sound and Vibration, 185, 3, 515-529.
  • 15. Sapoval B., Haeberlé O., Russ S. (1997), Acoustical properties of irregular and fractal cavities, Journal of the Acoustical Society of America, 102, 4, 2014-2019
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0019-0069
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