Abstract
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.
| Original language | English |
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| Title of host publication | 19th AIAA/CEAS Aeroacoustics Conference (Berlin, Germany, May 27-29, 2013) |
| Place of Publication | Reston |
| Publisher | American Institute of Aeronautics and Astronautics Inc. (AIAA) |
| Number of pages | 12 |
| ISBN (Print) | 978-1-62410-213-4 |
| DOIs | |
| Publication status | Published - 2013 |
| Event | 19th AIAA/CEAS Aeroacoustics Conference - Berlin, Germany Duration: 27 May 2013 → 29 May 2013 |
Conference
| Conference | 19th AIAA/CEAS Aeroacoustics Conference |
|---|---|
| Country/Territory | Germany |
| City | Berlin |
| Period | 27/05/13 → 29/05/13 |