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The response of Helmholtz resonator to external excitation. Part I: Acoustically induced resonance

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The first of two companion papers theoretical and experimental results are presented for a Helmholtz resonator subject to external excitation by an acoustic plane wave. The response of the resonator was analysed in terms of the relation between the pressure induced in the interior of the resonator and the driving pressure. Equations for the resonance frequency and the quality factor were developed for the cavity that was a rectangular parallelepiped with a centered circular orifice. The flow from the cavity had a constant velocity profile. The resonator was modelled by an equivalent impedance circuit, predicted from the classic theory of sound radiation, with an additional resistive term connected with the viscous action inside the orifice. The theoretical results were compared with experimental data for a frequency chosen so as to tune the system to the lowest resonance mode. The experiment has shown that the acoustic response of resonator was changed considerably when mechanical vibrations of the resonator elements were excited. A phenomenon of flow-induced resonance in the considered system geometry will be presented in the companion paper.
Słowa kluczowe
Rocznik
Strony
107--121
Opis fizyczny
Bibliogr. 14 poz., rys., tab., wykr.
Twórcy
autor
  • Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warszawa, Poland, mmeissn@ippt.gov.pl
Bibliografia
  • [1] A. ADOBES, I. AUDONNET and E. LUZZATO, Helmholtz resonators: a numerical package to optimize their design and control their implementation in engineering problems, Journal of Low Frequency Noise and Vibration, 9, 92–97 (1990).
  • [2] R. A. PRYDZ, L. S. WIRT and H. L. KUNTZ, Transmission loss of a multilayer panel with internal tuned Helmholtz resonators, J. Acoust. Soc. Amer., 87, 1597–1602 (1990).
  • [3] K. NAGAYA, Y. HANO and A. SUDA, Silencer consisting of two-stage Helmholtz resonator with auto-tuning control, J. Acoust. Soc. Amer., 110, 289–295 (2001).
  • [4] P. A. MONKEWITZ and N. NGUYEN–VO, The response of Helmholtz resonators to external excitation. Part 1. Single resonators, J. Fluid Mech., 151, 477–497 (1985).
  • [5] R. C. CHANAUD, Effects of geometry on the resonance frequency of Helmholtz resonators, J. Sound Vib., 178, 337-348 (1994).
  • [6] A. SELAMET, N. S. DICKEY and J. M. NOVAK, Theoretical, computational and experimental investigation of Helmholtz resonators with fixed volume: lumped versus distributed analysis, J. Sound Vib., 187, 358–367 (1995).
  • [7] N. S. DICKEY and A. SELAMENT, Helmholtz resonators: one-dimensional limit for small cavity length-to-diameter ratios, J. Sound Vib., 195, 512–517 (1996).
  • [8] A. SELAMET and Z. L. Ji, Circular asymmetric Helmholtz resonators, J. Acoust. Soc. Amer., 107, 2360–2369 (2000).
  • [9] M. MEISSNER, Absorption properties of Helmholtz resonator at high amplitude incident sound, Acustica/Acta Acustica, 86, 985–991 (2000).
  • [10] U. INGARD, On the theory and design of acoustic resonators, J. Acoust. Soc. Amer., 25, 1037–1061 (1953).
  • [11] P. M. MORSE and K. U. INGARD, Theoretical acoustics, Mc Graw-Hill, New York 1968.
  • [12] P. M. MORSE and H. FESHBACH, Methods of theoretical physics, Mc Graw-Hill, New York 1953.
  • [13] L. E. KINSLER and A. R. FREY, Fundamentals of acoustics, 2nd ed., Wiley, New York 1962.
  • [14] Z. ŻYSZKOWSKI, Basics of electoacoustics [in Polish], WNT, Warsaw 1965.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0004-0008
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