Labyrinthine acoustic metamaterials with triangular self-similarity for low-frequency sound insulation at deep subwavelength dimensions

Labyrinthine acoustic metamaterials are good choices for realizing sound insulation, acoustic stealth, and acoustic lenses by virtue of their stable performance and rich modes. We design a labyrinthine acoustic metamaterial with eight resonance units by utilizing triangular self-similarity. First, w...

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Main Authors: Ya-jun Xin, Rui-ning Huang, Peng Li, Quan Qian, Qun Yan, Yong-tao Sun, Qian Ding, Yu-jie Huang, Shu-liang Cheng
Format: Article
Language:English
Published: Elsevier 2023-11-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379723009440
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author Ya-jun Xin
Rui-ning Huang
Peng Li
Quan Qian
Qun Yan
Yong-tao Sun
Qian Ding
Yu-jie Huang
Shu-liang Cheng
author_facet Ya-jun Xin
Rui-ning Huang
Peng Li
Quan Qian
Qun Yan
Yong-tao Sun
Qian Ding
Yu-jie Huang
Shu-liang Cheng
author_sort Ya-jun Xin
collection DOAJ
description Labyrinthine acoustic metamaterials are good choices for realizing sound insulation, acoustic stealth, and acoustic lenses by virtue of their stable performance and rich modes. We design a labyrinthine acoustic metamaterial with eight resonance units by utilizing triangular self-similarity. First, with the help of eigenstate analysis, it is demonstrated that it has monopolar resonance and multipolar resonance modes. Then, the physical mechanisms that generate transmission valleys and acoustic isolation peaks are analyzed by applying the equivalent medium theory and the vibrational velocity field. Finally, we designed an ultra-sparse distribution (fill rate of 20 %) hypersurface for effective acoustic isolation and noise reduction at 417 Hz (normalized frequency of about λ/12). This study can provide useful assistance in the design of labyrinthine acoustic metamaterials, as well as potential applications in areas where ventilation is required (e.g., acoustic barriers for transportation systems).
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spelling doaj.art-f6437601162649cc99969f1b70c4ef012023-11-17T05:26:40ZengElsevierResults in Physics2211-37972023-11-0154107151Labyrinthine acoustic metamaterials with triangular self-similarity for low-frequency sound insulation at deep subwavelength dimensionsYa-jun Xin0Rui-ning Huang1Peng Li2Quan Qian3Qun Yan4Yong-tao Sun5Qian Ding6Yu-jie Huang7Shu-liang Cheng8Hebei Province Engineering Research Center for Harmless Synergistic Treatment and Recycling of Municipal Solid Waste, Yanshan University, Qinhuangdao, China; Hebei High Performance Building Material Technology Innovation Center, Qinhuangdao Municipal Building Materials Group Co. Ltd., Qinhuangdao, China; Corresponding authors.Hebei Province Engineering Research Center for Harmless Synergistic Treatment and Recycling of Municipal Solid Waste, Yanshan University, Qinhuangdao, ChinaHebei Province Engineering Research Center for Harmless Synergistic Treatment and Recycling of Municipal Solid Waste, Yanshan University, Qinhuangdao, ChinaHebei High Performance Building Material Technology Innovation Center, Qinhuangdao Municipal Building Materials Group Co. Ltd., Qinhuangdao, ChinaKey Laboratory of Aeroacoustics and Dynamics, Aircraft Strength Research Institute, Xi’an, ChinaDepartment of Mechanics and Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin University, Tianjin, China; Corresponding authors.Department of Mechanics and Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin University, Tianjin, ChinaHebei Key Laboratory of Mechanical Reliability for Heavy Equipment and Large Structure, Yanshan University, Qinhuangdao, ChinaHebei Key Laboratory of Mechanical Reliability for Heavy Equipment and Large Structure, Yanshan University, Qinhuangdao, ChinaLabyrinthine acoustic metamaterials are good choices for realizing sound insulation, acoustic stealth, and acoustic lenses by virtue of their stable performance and rich modes. We design a labyrinthine acoustic metamaterial with eight resonance units by utilizing triangular self-similarity. First, with the help of eigenstate analysis, it is demonstrated that it has monopolar resonance and multipolar resonance modes. Then, the physical mechanisms that generate transmission valleys and acoustic isolation peaks are analyzed by applying the equivalent medium theory and the vibrational velocity field. Finally, we designed an ultra-sparse distribution (fill rate of 20 %) hypersurface for effective acoustic isolation and noise reduction at 417 Hz (normalized frequency of about λ/12). This study can provide useful assistance in the design of labyrinthine acoustic metamaterials, as well as potential applications in areas where ventilation is required (e.g., acoustic barriers for transportation systems).http://www.sciencedirect.com/science/article/pii/S2211379723009440Coiling up spaceSelf-similarityLow-frequency sound insulationAcoustic metamaterials
spellingShingle Ya-jun Xin
Rui-ning Huang
Peng Li
Quan Qian
Qun Yan
Yong-tao Sun
Qian Ding
Yu-jie Huang
Shu-liang Cheng
Labyrinthine acoustic metamaterials with triangular self-similarity for low-frequency sound insulation at deep subwavelength dimensions
Results in Physics
Coiling up space
Self-similarity
Low-frequency sound insulation
Acoustic metamaterials
title Labyrinthine acoustic metamaterials with triangular self-similarity for low-frequency sound insulation at deep subwavelength dimensions
title_full Labyrinthine acoustic metamaterials with triangular self-similarity for low-frequency sound insulation at deep subwavelength dimensions
title_fullStr Labyrinthine acoustic metamaterials with triangular self-similarity for low-frequency sound insulation at deep subwavelength dimensions
title_full_unstemmed Labyrinthine acoustic metamaterials with triangular self-similarity for low-frequency sound insulation at deep subwavelength dimensions
title_short Labyrinthine acoustic metamaterials with triangular self-similarity for low-frequency sound insulation at deep subwavelength dimensions
title_sort labyrinthine acoustic metamaterials with triangular self similarity for low frequency sound insulation at deep subwavelength dimensions
topic Coiling up space
Self-similarity
Low-frequency sound insulation
Acoustic metamaterials
url http://www.sciencedirect.com/science/article/pii/S2211379723009440
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