Optimal Designs of Phononic Crystal Microstructures Considering Point and Line Defects

In this paper, a two-stage optimization strategy for designing defective unit cells of phononic crystal (PnC) to explore the localization and waveguide states for target frequencies is proposed. In the optimization model, the PnC microstructures are parametrically described by a series of hyperellip...

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Autores principales:	Jingjie He, Jiamei Sun, Juncheng Fan, Zhiyuan Jia, Xiaopeng Zhang
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	phononic crystal hyperelliptic curves defective cell localization state waveguide Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/afa59bfeffbf40d48c4c025940c24582
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spelling	oai:doaj.org-article:afa59bfeffbf40d48c4c025940c245822021-11-25T19:05:51ZOptimal Designs of Phononic Crystal Microstructures Considering Point and Line Defects10.3390/sym131119932073-8994https://doaj.org/article/afa59bfeffbf40d48c4c025940c245822021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/1993https://doaj.org/toc/2073-8994In this paper, a two-stage optimization strategy for designing defective unit cells of phononic crystal (PnC) to explore the localization and waveguide states for target frequencies is proposed. In the optimization model, the PnC microstructures are parametrically described by a series of hyperelliptic curves, and the optimal designs can be obtained by systematically changing the designable parameters of hyperellipse. The optimization contains two individual processes. We obtain the configurations of a perfect unit cell for different orders of band gap maximization. Subsequently, by taking advantage of the supercell technique, the defective unit cells are designed based on the unit cell configuration for different orders of band gap maximization. The finite element models show the localization and waveguide phenomenon for target frequencies and validate the effectiveness of the optimal designs numerically.Jingjie HeJiamei SunJuncheng FanZhiyuan JiaXiaopeng ZhangMDPI AGarticlephononic crystalhyperelliptic curvesdefective celllocalization statewaveguideMathematicsQA1-939ENSymmetry, Vol 13, Iss 1993, p 1993 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	phononic crystal hyperelliptic curves defective cell localization state waveguide Mathematics QA1-939
spellingShingle	phononic crystal hyperelliptic curves defective cell localization state waveguide Mathematics QA1-939 Jingjie He Jiamei Sun Juncheng Fan Zhiyuan Jia Xiaopeng Zhang Optimal Designs of Phononic Crystal Microstructures Considering Point and Line Defects
description	In this paper, a two-stage optimization strategy for designing defective unit cells of phononic crystal (PnC) to explore the localization and waveguide states for target frequencies is proposed. In the optimization model, the PnC microstructures are parametrically described by a series of hyperelliptic curves, and the optimal designs can be obtained by systematically changing the designable parameters of hyperellipse. The optimization contains two individual processes. We obtain the configurations of a perfect unit cell for different orders of band gap maximization. Subsequently, by taking advantage of the supercell technique, the defective unit cells are designed based on the unit cell configuration for different orders of band gap maximization. The finite element models show the localization and waveguide phenomenon for target frequencies and validate the effectiveness of the optimal designs numerically.
format	article
author	Jingjie He Jiamei Sun Juncheng Fan Zhiyuan Jia Xiaopeng Zhang
author_facet	Jingjie He Jiamei Sun Juncheng Fan Zhiyuan Jia Xiaopeng Zhang
author_sort	Jingjie He
title	Optimal Designs of Phononic Crystal Microstructures Considering Point and Line Defects
title_short	Optimal Designs of Phononic Crystal Microstructures Considering Point and Line Defects
title_full	Optimal Designs of Phononic Crystal Microstructures Considering Point and Line Defects
title_fullStr	Optimal Designs of Phononic Crystal Microstructures Considering Point and Line Defects
title_full_unstemmed	Optimal Designs of Phononic Crystal Microstructures Considering Point and Line Defects
title_sort	optimal designs of phononic crystal microstructures considering point and line defects
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/afa59bfeffbf40d48c4c025940c24582
work_keys_str_mv	AT jingjiehe optimaldesignsofphononiccrystalmicrostructuresconsideringpointandlinedefects AT jiameisun optimaldesignsofphononiccrystalmicrostructuresconsideringpointandlinedefects AT junchengfan optimaldesignsofphononiccrystalmicrostructuresconsideringpointandlinedefects AT zhiyuanjia optimaldesignsofphononiccrystalmicrostructuresconsideringpointandlinedefects AT xiaopengzhang optimaldesignsofphononiccrystalmicrostructuresconsideringpointandlinedefects
_version_	1718410299961245696

Optimal Designs of Phononic Crystal Microstructures Considering Point and Line Defects

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