Abstract
The characteristics of transmitted acoustic field have important significance to the leakage detection and the acoustic metasurface technology. When the additional leak holes are present, the conventional single neck Helmholtz resonator will naturally become the one with multiple necks. Based on such a background, in this paper, the effects of leakages on the transmission properties of a Duct Helmholtz Resonator (DHR) device is investigated both analytically and numerically. A set of closed-form formulas are derived to analytically predict the transmission spectra of the DHR device with leakages. The theoretical results are compared with COMSOL predictions. The simulation results show that the number and width of leak holes have significant influences on the amplitude, phase shift of the transmitted wave, and resonance frequency of the DHR system.
Highlights
Duct-Helmholtz-Resonator (DHR) structure, which consists of a resonance cavity connecting with the main duct through a neck, has wide applications in engineering
The results showed that the leak holes are found to have a significant impact on transmission loss
The results show that small additional holes in the Helmholtz resonator have significant influences on the resonance frequency and the absorption performance
Summary
Duct-Helmholtz-Resonator (DHR) structure, which consists of a resonance cavity connecting with the main duct through a neck, has wide applications in engineering. Based on the coupling mechanisms of TENG and acoustic propagation, they provided a theoretical guideline for improving energy output and broadening the frequency band These limited studies provide a basis for understanding the effect of multiple necks on the acoustic characteristics of Helmholtz resonators. If we assume that the size of DHR is much smaller than the wavelength of the acoustic wave, the air in the neck and the cavity can be treated as the lumped mechanical elements. In this way, the governing equations of the Helmholtz resonator with n necks can be written as n. In order to improve the prediction accuracy of transmittance, in what follows, the acoustic impedance given by Equation (25) is adopted
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