Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 3536-3549 |
| Number of pages | 14 |
| Journal | Journal of Sound and Vibration |
| Volume | 333 |
| Issue number | 15 |
| DOIs | |
| Publication status | Published - 2014 |
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Nonlinear asymptotic impedance model for a Helmholtz resonator liner. / Singh, D.K.; Rienstra, S.W.
In: Journal of Sound and Vibration, Vol. 333, No. 15, 2014, p. 3536-3549.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - Nonlinear asymptotic impedance model for a Helmholtz resonator liner
AU - Singh, D.K.
AU - Rienstra, S.W.
PY - 2014
Y1 - 2014
N2 - The usual nonlinear corrections for a Helmholtz resonator type impedance do not seem to be based on a systematic asymptotic solution of the pertaining equations. We aim to present a systematic derivation of a solution of the nonlinear Helmholtz resonator equation, in order to obtain analytically expressions for impedances close to resonance, while including nonlinear effects. The amplitude regime considered is such that when we stay away from the resonance condition, the nonlinear terms are relatively small and the solution obtained is of the linear equation (formed after neglecting the nonlinear terms). Close to the resonance frequency, the nonlinear terms can no longer be neglected and algebraic equations are obtained that describe the corresponding nonlinear impedance. Sample results are presented including a few comparisons with measurements available in the literature. The validity of the model is understood in the near resonance and non-resonance regimes. Keywords: Helmholtz resonators; Impedance modeling
AB - The usual nonlinear corrections for a Helmholtz resonator type impedance do not seem to be based on a systematic asymptotic solution of the pertaining equations. We aim to present a systematic derivation of a solution of the nonlinear Helmholtz resonator equation, in order to obtain analytically expressions for impedances close to resonance, while including nonlinear effects. The amplitude regime considered is such that when we stay away from the resonance condition, the nonlinear terms are relatively small and the solution obtained is of the linear equation (formed after neglecting the nonlinear terms). Close to the resonance frequency, the nonlinear terms can no longer be neglected and algebraic equations are obtained that describe the corresponding nonlinear impedance. Sample results are presented including a few comparisons with measurements available in the literature. The validity of the model is understood in the near resonance and non-resonance regimes. Keywords: Helmholtz resonators; Impedance modeling
U2 - 10.1016/j.jsv.2014.03.013
DO - 10.1016/j.jsv.2014.03.013
M3 - Article
VL - 333
SP - 3536
EP - 3549
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
SN - 0022-460X
IS - 15
ER -