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

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

中国物理B ›› 2018, Vol. 27 ›› Issue (6): 64301-064301.doi: 10.1088/1674-1056/27/6/064301

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

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

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)

1 Laboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology, Changsha 410073, China;
2 College of Power Engineering, Naval University of Engineering, Wuhan 430033, China

收稿日期:2018-01-01 修回日期:2018-03-27 出版日期:2018-06-05 发布日期:2018-06-05
通讯作者: Dian-Long Yu E-mail:dianlongyu@vip.sina.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.11372346,51405502,and 51705529).

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

Dian-Long Yu(郁殿龙)¹, Hui-Jie Shen(沈惠杰)², Jiang-Wei Liu(刘江伟)¹, Jian-Fei Yin(尹剑飞)^1,2, Zhen-Fang Zhang(张振方)¹, Ji-Hong Wen(温激鸿)¹

1 Laboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology, Changsha 410073, China;
2 College of Power Engineering, Naval University of Engineering, Wuhan 430033, China

Received:2018-01-01 Revised:2018-03-27 Online:2018-06-05 Published:2018-06-05
Contact: Dian-Long Yu E-mail:dianlongyu@vip.sina.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.11372346,51405502,and 51705529).

摘要/Abstract

摘要： 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.

关键词: acoustic metamaterial, band gap, sound transmission loss, elastic Helmholtz resonator, noise control

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.

Key words: acoustic metamaterial, band gap, sound transmission loss, elastic Helmholtz resonator, noise control

中图分类号: (Structural acoustics and vibration)

43.40.+s

47.35.Lf (Wave-structure interactions) 62.60.+v (Acoustical properties of liquids)

郁殿龙, 沈惠杰, 刘江伟, 尹剑飞, 张振方, 温激鸿. Propagation of acoustic waves in a fluid-filled pipe with periodic elastic Helmholtz resonators[J]. 中国物理B, 2018, 27(6): 64301-064301.

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[J]. Chin. Phys. B, 2018, 27(6): 64301-064301.

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

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

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