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

doi:10.1088/1674-1056/27/6/064301

Abstract Helmholtz resonators are widely used to reduce noise in a fluid-filled pipe system. It is a challenge to obtain low-frequency and broadband attenuation with a small sized cavity. In this paper, the propagation of acoustic waves in a fluid-filled pipe system with periodic elastic Helmholtz resonators is studied theoretically. The resonance frequency and sound transmission loss of one unit are analyzed to validate the correctness of simplified acoustic impedance. The band structure of infinite periodic cells and sound transmission loss of finite periodic cells are calculated by the transfer matrix method and finite element software. The effects of several parameters on band gap and sound transmission loss are probed. Further, the negative bulk modulus of periodic cells with elastic Helmholtz resonators is analyzed. Numerical results show that the acoustic propagation properties in the periodic pipe, such as low frequency, broadband sound transmission, can be improved.

Keywords: acoustic metamaterial band gap sound transmission loss elastic Helmholtz resonator noise control

Received: 01 January 2018
Revised: 27 March 2018
Accepted manuscript online:

PACS:	43.40.+s	(Structural acoustics and vibration)
	47.35.Lf	(Wave-structure interactions)
	62.60.+v	(Acoustical properties of liquids)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos.11372346,51405502,and 51705529).

Corresponding Authors: Dian-Long Yu
E-mail: dianlongyu@vip.sina.com

Cite this article:

Dian-Long Yu(郁殿龙), Hui-Jie Shen(沈惠杰), Jiang-Wei Liu(刘江伟), Jian-Fei Yin(尹剑飞), Zhen-Fang Zhang(张振方), Ji-Hong Wen(温激鸿) Propagation of acoustic waves in a fluid-filled pipe with periodic elastic Helmholtz resonators 2018 Chin. Phys. B 27 064301

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

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