TY - JOUR
T1 - Influence of the neck shape for Helmholtz resonators
AU - Mercier, Jean François
AU - Marigo, Jean Jacques
AU - Maurel, Agnès
N1 - Publisher Copyright:
© 2017 Acoustical Society of America.
PY - 2017/12/1
Y1 - 2017/12/1
N2 - 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.
AB - 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.
U2 - 10.1121/1.5017735
DO - 10.1121/1.5017735
M3 - Article
C2 - 29289100
AN - SCOPUS:85039173370
SN - 0001-4966
VL - 142
SP - 3703
EP - 3714
JO - Journal of the Acoustical Society of America
JF - Journal of the Acoustical Society of America
IS - 6
ER -