Open AccessInfluence of cavity wall elasticity on resonant frequency of small underwater cylindrical Helmholtz resonator
Author(s) -
Zefeng Wang,
HU Yong-ming,
Hong Luo,
Meng Zhou,
Ming Ni,
Xiong Shui-Dong
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.2507
Subject(s) - helmholtz resonator , resonator , helmholtz free energy , underwater , acoustics , elasticity (physics) , physics , helmholtz equation , materials science , optics , boundary value problem , oceanography , quantum mechanics , thermodynamics , geology
Influence of cavity wall elasticity on resonant frequency of small underwater cylindrical Helmholtz resonator is studied theoretically and experimental. Based on the theory of electroacoustic analogy, the simplified low frequency lumpedparameter model of the Helmholtz resonator is constructed. A general, convenient for calculation expression of the resonant frequency is given by circuit analysis. The influence of the thickness and the material of the resonator on the resonant frequency is investigated by numerical method. And the approximate rigid conditions for small underwater cylindrical Helmholtz resonators of different sizes are given. Small cylindrical Helmholtz resonators of different wall thickness and material were tested in a standingwave tube filled with water. Experimental results well testified the theoreticl results and the approximate rigid condition. This paper is useful for the design and application of the underwater cylindrical Helmholtz resonators.