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Title: Noise attenuation performance of a helmholtz resonator array consist of several periodic parts
Authors: Wu, DZ
Zhang, N
Mak, CM 
Cai, CZ 
Issue Date: 2017
Source: Sensors, May 2017, v. 17, no. 5, 1029, p. 1-12
Abstract: The acoustic performance of the ducted Helmholtz resonator (HR) system is analyzed theoretically and numerically. The periodic HR array could provide a wider noise attenuation band due to the coupling of the Bragg reflection and the HR's resonance. However, the transmission loss achieved by a periodic HR array is mainly dependent on the number of HRs, which restricted by the available space in the longitudinal direction of the duct. The full distance along the longitudinal direction of the duct for HR's installation is sometimes unavailable in practical applications. Only several pieces of the duct may be available for the installation. It is therefore that this paper concentrates on the acoustic performance of a HR array consisting of several periodic parts. The transfer matrix method and the Bragg theory are used to investigate wave propagation in the duct. The theoretical prediction results show good agreement with the Finite Element Method (FEM) simulation results. The present study provides a practical way in noise control application of ventilation ductwork system by utilizing the advantage of periodicity with the limitation of available completed installation length for HRs.
Keywords: Helmholtz resonator
Noise attenuation
Periodic structure
Finite element method
Publisher: Molecular Diversity Preservation International (MDPI)
Journal: Sensors 
ISSN: 1424-8220
DOI: 10.3390/s17051029
Rights: © 2017 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (
The following publication Wu, D. Z., Zhang, N., Mak, C. M., & Cai, C. Z. (2017). Noise attenuation performance of a helmholtz resonator array consist of several periodic parts. Sensors, 17(5), (Suppl. ), 1029, - is available at
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