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The response of Helmholtz resonators to external excitation. Part 1. Single resonators

Published online by Cambridge University Press:  20 April 2006

Peter A. Monkewitz  and
Nghiem-Minh Nguyen-Vo
Peter A. Monkewitz
Affiliation:
Department of Mechanical, Aerospace and Nuclear Engineering, University of California at Los Angeles, CA 90024
Nghiem-Minh Nguyen-Vo
Affiliation:
Department of Mechanical, Aerospace and Nuclear Engineering, University of California at Los Angeles, CA 90024
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Abstract

The response of single two- and three-dimensional Helmholtz resonators subject to external excitation by a plane acoustic wave is studied. The inviscid linearized problem is solved by the matched-asymptotic-expansion technique in the low-frequency limit, i.e. when the characteristic neck dimension is small compared with the acoustic wavelength. The scale of the cavity is chosen such as to tune the system to the lowest Helmholtz mode. The results are compared with the classical lumped-element model, and refined expressions are derived for the effective mass (added length) and stiffness (effective cavity volume) of the resonator.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 151 , February 1985 , pp. 477 - 497
Copyright
© 1985 Cambridge University Press

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