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research-article

Acoustic metamaterial with fractal coiling up space for sound blocking in a deep subwavelength scale

[+] Author and Article Information
Baizhan Xia

State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan, People's Republic of China
xiabz2013@hnu.edu.cn

Liping Li

State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan, People's Republic of China
724923795@qq.com

Jian Liu

State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan, People's Republic of China
2122451443@qq.com

Dejie Yu

State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan, People's Republic of China
409655907@qq.com

1Corresponding author.

ASME doi:10.1115/1.4037514 History: Received August 25, 2016; Revised July 27, 2017

Abstract

Inspired by fractal photonic/phononic crystals, the self-similar fractal technique is applied to the design of the Mie-resonant metamaterial. By replacing the straight channel of the coiling up space with a smaller coiling up space, a class of topological architectures of the Mie-resonant metamaterial with fractal coiling up space is developed. The significant effect of the fractal-inspired hierarchy on the band structure of the Mie-resonant metamaterial with the fractal coiling up space is systematically investigated. Furthermore, the sound wave propagation in the Mie-resonant metamaterial with the fractal coiling up space is comprehensively highlighted. Our results show that the Mie-resonant metamaterial with the higher order fractal coiling up space exhibits deep subwavelength bandgaps, in which the sound propagation will be well blocked. Furthermore, the Mie-resonant metamaterial with the fractal coiling up space shows a good robustness against the irregular arrangement. Thus, this work provides insights into the role of the fractal hierarchy in regulating the dynamic behavior of the Mie-resonant metamaterial and provides opportunities for the design of the robust filtering device in a subwavelength scale.

Copyright (c) 2017 by ASME
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