Hybrid Bandgaps in Mass-coupled Bragg Atomic Chains: Generation and Switching

In this work, without introducing mass-in-mass units or inertial amplification mechanisms, we show that two Bragg atomic chains can form an acoustic metamaterial that possesses different types of bandgaps other than Bragg ones, including local resonance and inertial amplification-like bandgaps. Spec...

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Autores principales:	Shao-Feng Xu, Zhu-Long Xu, Kuo-Chih Chuang
Formato:	article
Lenguaje:	EN
Publicado:	Frontiers Media S.A. 2021
Materias:	metamaterials atomic chains bandgaps, local resonance inertial amplification phononic crystal Technology T
Acceso en línea:	https://doaj.org/article/54c4e503ab0e46298859ba588060101f
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spelling	oai:doaj.org-article:54c4e503ab0e46298859ba588060101f2021-12-01T19:36:08ZHybrid Bandgaps in Mass-coupled Bragg Atomic Chains: Generation and Switching2296-801610.3389/fmats.2021.774612https://doaj.org/article/54c4e503ab0e46298859ba588060101f2021-11-01T00:00:00Zhttps://www.frontiersin.org/articles/10.3389/fmats.2021.774612/fullhttps://doaj.org/toc/2296-8016In this work, without introducing mass-in-mass units or inertial amplification mechanisms, we show that two Bragg atomic chains can form an acoustic metamaterial that possesses different types of bandgaps other than Bragg ones, including local resonance and inertial amplification-like bandgaps. Specifically, by coupling masses of one monatomic chain to the same masses of a diatomic or triatomic chain, hybrid bandgaps can be generated and further be switched through the adjustment of the structural parameters. To provide a tuning guidance for the hybrid bandgaps, we derived an analytical transition parameter (p-value) for the mass-coupled monatomic/diatomic chain and analytical discriminants for the mass-coupled monatomic/triatomic chain. In our proposed mass-coupled monatomic/triatomic chain system, each set of analytical discriminants determines a hybrid bandgap state and a detailed examination reveals 14 different bandgap states. In addition to bandgap switching, the analytical p-value and discriminants can also be used as a guide for designing the coupled-chain acoustic metamaterials. The relations between the mass-coupled monatomic/triatomic chain system and a three-degree-of-freedom (DOF) inertial amplification system further indicate that the band structure of the former is equivalent to that of the latter through coupling masses by negative dynamic stiffness springs.Shao-Feng XuZhu-Long XuKuo-Chih ChuangKuo-Chih ChuangFrontiers Media S.A.articlemetamaterialsatomic chainsbandgaps, local resonanceinertial amplificationphononic crystalTechnologyTENFrontiers in Materials, Vol 8 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	metamaterials atomic chains bandgaps, local resonance inertial amplification phononic crystal Technology T
spellingShingle	metamaterials atomic chains bandgaps, local resonance inertial amplification phononic crystal Technology T Shao-Feng Xu Zhu-Long Xu Kuo-Chih Chuang Kuo-Chih Chuang Hybrid Bandgaps in Mass-coupled Bragg Atomic Chains: Generation and Switching
description	In this work, without introducing mass-in-mass units or inertial amplification mechanisms, we show that two Bragg atomic chains can form an acoustic metamaterial that possesses different types of bandgaps other than Bragg ones, including local resonance and inertial amplification-like bandgaps. Specifically, by coupling masses of one monatomic chain to the same masses of a diatomic or triatomic chain, hybrid bandgaps can be generated and further be switched through the adjustment of the structural parameters. To provide a tuning guidance for the hybrid bandgaps, we derived an analytical transition parameter (p-value) for the mass-coupled monatomic/diatomic chain and analytical discriminants for the mass-coupled monatomic/triatomic chain. In our proposed mass-coupled monatomic/triatomic chain system, each set of analytical discriminants determines a hybrid bandgap state and a detailed examination reveals 14 different bandgap states. In addition to bandgap switching, the analytical p-value and discriminants can also be used as a guide for designing the coupled-chain acoustic metamaterials. The relations between the mass-coupled monatomic/triatomic chain system and a three-degree-of-freedom (DOF) inertial amplification system further indicate that the band structure of the former is equivalent to that of the latter through coupling masses by negative dynamic stiffness springs.
format	article
author	Shao-Feng Xu Zhu-Long Xu Kuo-Chih Chuang Kuo-Chih Chuang
author_facet	Shao-Feng Xu Zhu-Long Xu Kuo-Chih Chuang Kuo-Chih Chuang
author_sort	Shao-Feng Xu
title	Hybrid Bandgaps in Mass-coupled Bragg Atomic Chains: Generation and Switching
title_short	Hybrid Bandgaps in Mass-coupled Bragg Atomic Chains: Generation and Switching
title_full	Hybrid Bandgaps in Mass-coupled Bragg Atomic Chains: Generation and Switching
title_fullStr	Hybrid Bandgaps in Mass-coupled Bragg Atomic Chains: Generation and Switching
title_full_unstemmed	Hybrid Bandgaps in Mass-coupled Bragg Atomic Chains: Generation and Switching
title_sort	hybrid bandgaps in mass-coupled bragg atomic chains: generation and switching
publisher	Frontiers Media S.A.
publishDate	2021
url	https://doaj.org/article/54c4e503ab0e46298859ba588060101f
work_keys_str_mv	AT shaofengxu hybridbandgapsinmasscoupledbraggatomicchainsgenerationandswitching AT zhulongxu hybridbandgapsinmasscoupledbraggatomicchainsgenerationandswitching AT kuochihchuang hybridbandgapsinmasscoupledbraggatomicchainsgenerationandswitching AT kuochihchuang hybridbandgapsinmasscoupledbraggatomicchainsgenerationandswitching
_version_	1718404631423352832

Hybrid Bandgaps in Mass-coupled Bragg Atomic Chains: Generation and Switching

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