Influence of cavity wall elasticity on resonant frequency of small underwater cylindrical Helmholtz resonator

Abstract

Influence of cavity wall elasticity on resonant frequency of small underwater cylindrical Helmholtz resonator is studied theoretically and experimental. Based on the theory of electroacoustic analogy, the simplified low frequency lumpedparameter 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 standingwave 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.

Propagation of acoustic waves in a fluid-filled pipe with periodic elastic Helmholtz resonators

“…The effect of wall elasticity on the resonance frequency of an HR has received considerable attention. [6][7][8][9] The results indicate that the wall compliance will reduce the resonance frequency in comparison with an identically shaped rigid cav-ity. Additionally, sound transmission loss (STL) of an HR in a fluid-filled piping system has been investigated.…”

Finite Element Analysis of Acoustic Performance of Water-filled Helmholtz Resonator with the Effect of Elastic Cavity Walls

“…In China, on the basis of the equivalent lumped parameter theory, Zhou Chengguang et al studied the effect of the elastic walls of water-filled Helmholtz resonators on their acoustic characteristics [6] and carried out the relevant experimental verification. Wang Zefeng et al also studied the effect of resonant cavity wall elasticity by using the lumped parameter theory [7,8]. The difference is that they also considered the effect of the wall radiation impedance of the resonant cavity in the study.…”