Innovative meta-materials offer great flexibility for manipulating sound waves and assure unprecedented functionality in the context of acoustic applications. Indeed, they can exhibit extraordinary properties, such as broadband low-frequency absorption, excellent sound insulation, or enhanced sound transmission. More specifically, Helmholtz resonators are exploited in several applications aiming to reduce noise transmission. However, the design of acoustic meta-materials with exciting functionality still represents a challenge, therefore there is a huge interest about the conceptualization and design of innovative acoustic solutions making use of meta-material resonance effects. The main target of the present research work is to obtain an accurate prediction of the tuning frequency of a Helmholtz-resonating device, numerically modeled through a Finite Element approach. In this context, an investigation on a correction factor for the classical formulation used to estimate the Helmholtz resonance frequency starting from its geometrical characteristics, accounting for different-shaped resonators with varying neck/cavity ratios is performed. More specifically, a set of analyses are performed, and results in terms of correction factor are provided in both graphical and polynomial form, and compared with Finite Element ones, showing higher accuracy.

Evaluation of improved correction factors for the prediction of Helmholtz resonances

Giuseppe Catapane
Primo
;
Dario Magliacano
Secondo
;
Giuseppe Petrone;Alessandro Casaburo;Francesco Franco
Penultimo
;
Sergio De Rosa
Ultimo
2021

Abstract

Innovative meta-materials offer great flexibility for manipulating sound waves and assure unprecedented functionality in the context of acoustic applications. Indeed, they can exhibit extraordinary properties, such as broadband low-frequency absorption, excellent sound insulation, or enhanced sound transmission. More specifically, Helmholtz resonators are exploited in several applications aiming to reduce noise transmission. However, the design of acoustic meta-materials with exciting functionality still represents a challenge, therefore there is a huge interest about the conceptualization and design of innovative acoustic solutions making use of meta-material resonance effects. The main target of the present research work is to obtain an accurate prediction of the tuning frequency of a Helmholtz-resonating device, numerically modeled through a Finite Element approach. In this context, an investigation on a correction factor for the classical formulation used to estimate the Helmholtz resonance frequency starting from its geometrical characteristics, accounting for different-shaped resonators with varying neck/cavity ratios is performed. More specifically, a set of analyses are performed, and results in terms of correction factor are provided in both graphical and polynomial form, and compared with Finite Element ones, showing higher accuracy.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/862992
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