Helmholtz Resonator Impedance Model, Part 1: Nonlinear Behavior

A one-dimensional preliminary design impedance prediction model is derived for Helmholtz resonators constructed with circular orifices. The model addresses only the effects of resonator geometry and incident sound-pressure amplitude. The effects of grazing flow are not included. An experimental prog...

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Bibliographic Details
Published in:AIAA journal 2003-05, Vol.41 (5), p.795-808
Main Authors: Hersh, A. S, Walker, B. E, Celano, J. W
Format: Article
Language:English
Subjects:
Acoustics
Aeroacoustics and atmospheric sound
Aeroacoustics, atmospheric sound
Aircraft
Aviation
Design
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mechanical engineering
Physics
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Summary:A one-dimensional preliminary design impedance prediction model is derived for Helmholtz resonators constructed with circular orifices. The model addresses only the effects of resonator geometry and incident sound-pressure amplitude. The effects of grazing flow are not included. An experimental program was conducted to calibrate unknown empirical parameters derived in the model. The model was shown to predict, reasonably accurately, impedance data published in the open literature for resonators constructed with single and multiple orifices over a wide range of sound-pressure amplitudes and frequencies. The model provides a rapid means of calculating resonator impedance as a function of resonator geometry, incident sound-pressure amplitude, and frequency. [PUBLICATION ABSTRACT]
ISSN:0001-1452
1533-385X
DOI:10.2514/2.2041