Influence of the neck shape for Helmholtz resonators
Author(s) -
JeanFrançois Mercier,
JeanJacques Marigo,
Agnès Maurel
Publication year - 2017
Publication title -
the journal of the acoustical society of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.619
H-Index - 187
eISSN - 1520-8524
pISSN - 0001-4966
DOI - 10.1121/1.5017735
Subject(s) - resonator , homogenization (climate) , helmholtz resonator , helmholtz free energy , resonance (particle physics) , acoustics , physics , optics , mathematics , quantum mechanics , biology , biodiversity , ecology
The resonance of a Helmholtz resonator is studied with a focus on the influence of the neck shape. This is done using a homogenization approach developed for an array of resonators, and the resonance of an array is discussed when compared to that of a single resonator. The homogenization makes a parameter B appear which determines unambiguously the resonance frequency of any neck. As expected, this parameter depends on the length and on the minimum opening of the neck, and it is shown to depend also on the surface of air inside the neck. Once these three geometrical parameters are known, B has an additional but weak dependence on the neck shape, with explicit bounds.
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