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Tunable Two-Layer Dual-Band Metamaterial with Negative Modulus

A tunable dual-band acoustic metamaterial (AM) with nested two-layer split hollow spheres (TLSHSs) is presented here, which was achieved by adjusting the hole diameter and the ratio of the two layers’ volumes. This work comprises theoretical and numerical studies. Based on sound-force analogy (SFA),...

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Autores principales: Hao, Limei, Men, Meiling, Wang, Yazhe, Ji, Jiayu, Yan, Xiaole, Xie, You, Zhang, Pengli, Chen, Zhi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6804188/
https://www.ncbi.nlm.nih.gov/pubmed/31581634
http://dx.doi.org/10.3390/ma12193229
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author Hao, Limei
Men, Meiling
Wang, Yazhe
Ji, Jiayu
Yan, Xiaole
Xie, You
Zhang, Pengli
Chen, Zhi
author_facet Hao, Limei
Men, Meiling
Wang, Yazhe
Ji, Jiayu
Yan, Xiaole
Xie, You
Zhang, Pengli
Chen, Zhi
author_sort Hao, Limei
collection PubMed
description A tunable dual-band acoustic metamaterial (AM) with nested two-layer split hollow spheres (TLSHSs) is presented here, which was achieved by adjusting the hole diameter and the ratio of the two layers’ volumes. This work comprises theoretical and numerical studies. Based on sound-force analogy (SFA), TLSHSs can be considered equivalent to a model of two spring oscillators in series. The equations of two resonant frequencies were derived, which precisely provided the relation between two resonant frequencies and the hole diameter as well as the ratio of the two layers’ volumes. The analytical formulas and simulation results by the finite element method (FEM) showed that there were two resonant frequencies for the TLSHSs, and their dynamic modulus became negative near the resonant frequencies. As the the diameter of two holes increased, both of the resonant frequencies underwent a blue shift. As the relative volume ratio increased, both of the resonant frequencies underwent a red shift. The calculation and simulation results were in good agreement. This kind of precisely controllable dual-band AM with negative modulus can easily be coupled to other structures with negative mass density, thereby achieving a double-negative AM in an expected frequency range.
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spelling pubmed-68041882019-11-18 Tunable Two-Layer Dual-Band Metamaterial with Negative Modulus Hao, Limei Men, Meiling Wang, Yazhe Ji, Jiayu Yan, Xiaole Xie, You Zhang, Pengli Chen, Zhi Materials (Basel) Article A tunable dual-band acoustic metamaterial (AM) with nested two-layer split hollow spheres (TLSHSs) is presented here, which was achieved by adjusting the hole diameter and the ratio of the two layers’ volumes. This work comprises theoretical and numerical studies. Based on sound-force analogy (SFA), TLSHSs can be considered equivalent to a model of two spring oscillators in series. The equations of two resonant frequencies were derived, which precisely provided the relation between two resonant frequencies and the hole diameter as well as the ratio of the two layers’ volumes. The analytical formulas and simulation results by the finite element method (FEM) showed that there were two resonant frequencies for the TLSHSs, and their dynamic modulus became negative near the resonant frequencies. As the the diameter of two holes increased, both of the resonant frequencies underwent a blue shift. As the relative volume ratio increased, both of the resonant frequencies underwent a red shift. The calculation and simulation results were in good agreement. This kind of precisely controllable dual-band AM with negative modulus can easily be coupled to other structures with negative mass density, thereby achieving a double-negative AM in an expected frequency range. MDPI 2019-10-02 /pmc/articles/PMC6804188/ /pubmed/31581634 http://dx.doi.org/10.3390/ma12193229 Text en © 2019 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 (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Hao, Limei
Men, Meiling
Wang, Yazhe
Ji, Jiayu
Yan, Xiaole
Xie, You
Zhang, Pengli
Chen, Zhi
Tunable Two-Layer Dual-Band Metamaterial with Negative Modulus
title Tunable Two-Layer Dual-Band Metamaterial with Negative Modulus
title_full Tunable Two-Layer Dual-Band Metamaterial with Negative Modulus
title_fullStr Tunable Two-Layer Dual-Band Metamaterial with Negative Modulus
title_full_unstemmed Tunable Two-Layer Dual-Band Metamaterial with Negative Modulus
title_short Tunable Two-Layer Dual-Band Metamaterial with Negative Modulus
title_sort tunable two-layer dual-band metamaterial with negative modulus
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6804188/
https://www.ncbi.nlm.nih.gov/pubmed/31581634
http://dx.doi.org/10.3390/ma12193229
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