A systematic impedance model for non-linear Helmholtz resonator liner

D.K. Singh, S.W. Rienstra

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Samenvatting

The usual non-linear 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 non-linear Helmholtz resonator equation, in order to obtain analytically expressions for impedances close to resonance, while including non-linear effects. The amplitude regime considered is such that when we stay away from the resonance condition, the non-linear terms are relatively small and the solution obtained is of the linear equation (formed after neglecting the non-linear terms). Close to the resonance frequency, the non-linear terms can no longer be neglected and algebraic equations are obtained that describe the corresponding non-linear impedance.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijTechnische Universiteit Eindhoven
Aantal pagina's12
StatusGepubliceerd - 2013

Publicatie series

NaamCASA-report
Volume1312
ISSN van geprinte versie0926-4507

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  • Citeer dit

    Singh, D. K., & Rienstra, S. W. (2013). A systematic impedance model for non-linear Helmholtz resonator liner. (CASA-report; Vol. 1312). Technische Universiteit Eindhoven.