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Enhancement of band-gap characteristics in hexagonal and re-entrant lattices via curved beams

Shuvajit Mukherjee, Milan Cajic, Danilo Karličić, Sondipon Adhikari

Composite Structures, Volume: 306, Start page: 116591

Swansea University Authors: Shuvajit Mukherjee, Milan Cajic

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DOI (Published version): 10.1016/j.compstruct.2022.116591

Abstract

In-plane wave propagation in hexagonal and re-entrant lattices is a widely investigated subject in the literature. Such systems can exhibit many different but limited band structure properties that depend on the topology and geometry of structural members and the lattice itself. This manuscript prop...

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Published in: Composite Structures
ISSN: 0263-8223
Published: Elsevier BV 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa62180
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spelling v2 62180 2022-12-16 Enhancement of band-gap characteristics in hexagonal and re-entrant lattices via curved beams 0d6adf4c1873dddc78ba26dba8b1c04f Shuvajit Mukherjee Shuvajit Mukherjee true false 08b3d2d27daffae99331d905f63a6697 Milan Cajic Milan Cajic true false 2022-12-16 ACEM In-plane wave propagation in hexagonal and re-entrant lattices is a widely investigated subject in the literature. Such systems can exhibit many different but limited band structure properties that depend on the topology and geometry of structural members and the lattice itself. This manuscript proposes a novel class of hexagonal and re-entrant lattices with unit cells containing combined straight and curved beams with enhanced band-gap properties. Timoshenko beams are suggested to represent beam members of the lattice and corresponding governing equations are derived. Bloch theorem is applied to study in-plane wave propagation and get the unique dispersion properties of the modified lattices. The influence of a new geometric parameter, the curvature angle of the constituent curved beams is explored for the dispersion characteristics and wave directionality through iso-frequency contours of dispersion surfaces. Enhanced band-gap properties in the context of the generation of new band-gaps and widening of the band-gaps for the cellular lattices with curved beams are promising from the viewpoint of the future design of phononic crystals and metamaterials in their mechanical setup. Journal Article Composite Structures 306 116591 Elsevier BV 0263-8223 Hexagonal lattices; Curved beams; Timoshenko beams; Bloch waves; Phononic bandgaps 15 2 2023 2023-02-15 10.1016/j.compstruct.2022.116591 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University MC and SA acknowledges funding fromEuropean Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 896942 (METASINK). DK was sponsored by the Serbian Ministry of Education, Science and Technological Development and Mathematical Institute of the Serbian Academy of Sciences and Arts. 2024-07-25T15:29:32.8029893 2022-12-16T08:07:25.0868102 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering Shuvajit Mukherjee 1 Milan Cajic 2 Danilo Karličić 3 Sondipon Adhikari 4 62180__26096__6bd4c303aae74eac8ec1e39960c1e3ef.pdf 62180.pdf 2022-12-16T08:09:19.8782739 Output 4839778 application/pdf Accepted Manuscript true 2023-12-13T00:00:00.0000000 ©2022 All rights reserved. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND) true eng https://creativecommons.org/licenses/by-nc-nd/4.0/
title Enhancement of band-gap characteristics in hexagonal and re-entrant lattices via curved beams
spellingShingle Enhancement of band-gap characteristics in hexagonal and re-entrant lattices via curved beams
Shuvajit Mukherjee
Milan Cajic
title_short Enhancement of band-gap characteristics in hexagonal and re-entrant lattices via curved beams
title_full Enhancement of band-gap characteristics in hexagonal and re-entrant lattices via curved beams
title_fullStr Enhancement of band-gap characteristics in hexagonal and re-entrant lattices via curved beams
title_full_unstemmed Enhancement of band-gap characteristics in hexagonal and re-entrant lattices via curved beams
title_sort Enhancement of band-gap characteristics in hexagonal and re-entrant lattices via curved beams
author_id_str_mv 0d6adf4c1873dddc78ba26dba8b1c04f
08b3d2d27daffae99331d905f63a6697
author_id_fullname_str_mv 0d6adf4c1873dddc78ba26dba8b1c04f_***_Shuvajit Mukherjee
08b3d2d27daffae99331d905f63a6697_***_Milan Cajic
author Shuvajit Mukherjee
Milan Cajic
author2 Shuvajit Mukherjee
Milan Cajic
Danilo Karličić
Sondipon Adhikari
format Journal article
container_title Composite Structures
container_volume 306
container_start_page 116591
publishDate 2023
institution Swansea University
issn 0263-8223
doi_str_mv 10.1016/j.compstruct.2022.116591
publisher Elsevier BV
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering
document_store_str 1
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description In-plane wave propagation in hexagonal and re-entrant lattices is a widely investigated subject in the literature. Such systems can exhibit many different but limited band structure properties that depend on the topology and geometry of structural members and the lattice itself. This manuscript proposes a novel class of hexagonal and re-entrant lattices with unit cells containing combined straight and curved beams with enhanced band-gap properties. Timoshenko beams are suggested to represent beam members of the lattice and corresponding governing equations are derived. Bloch theorem is applied to study in-plane wave propagation and get the unique dispersion properties of the modified lattices. The influence of a new geometric parameter, the curvature angle of the constituent curved beams is explored for the dispersion characteristics and wave directionality through iso-frequency contours of dispersion surfaces. Enhanced band-gap properties in the context of the generation of new band-gaps and widening of the band-gaps for the cellular lattices with curved beams are promising from the viewpoint of the future design of phononic crystals and metamaterials in their mechanical setup.
published_date 2023-02-15T15:29:31Z
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