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Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials

Ankur Dwivedi, Arnab Banerjee, Sondipon Adhikari, Bishakh Bhattacharya

International Journal of Mechanics and Materials in Design, Volume: 17, Pages: 419 - 439

Swansea University Author: Sondipon Adhikari

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DOI (Published version): 10.1007/s10999-021-09534-0

Abstract

Elastic mechanical metamaterials are the exemplar of periodic structures. These are artificially designed structures having idiosyncratic physical properties like negative mass and negative Young’s modulus in specific frequency ranges. These extreme physical properties are due to the spatial periodi...

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Published in: International Journal of Mechanics and Materials in Design
ISSN: 1569-1713 1573-8841
Published: Springer Science and Business Media LLC 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa56334
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That is why scientists are researching the dynamics of these structures for decades. This unusual dynamic behavior is frequency contingent, which modulates wave propagation through these structures. Locally resonant units in the designed metamaterial facilitate bandgap formation virtually at any frequency for wavelengths much higher than the lattice length of a unit. Here, we analyze the band structure of piezo-embedded negative mass metamaterial using the generalized Bloch theorem. For a finite number of the metamaterial units coupled equation of motion of the system is deduced, considering purely resistive and shunted inductor energy harvesting circuits. Successively, the voltage and power produced by piezoelectric material along with transmissibility of the system are computed using the backward substitution method. The addition of the piezoelectric material at the resonating unit increases the complexity of the solution. The results elucidate, the insertion of the piezoelectric material in the resonating unit provides better tunability in the band structure for simultaneous energy harvesting and vibration attenuation. Non-dimensional analysis of the system gives physical parameters that govern the formation of mechanical and electromechanical bandgaps. Optimized numerical values of these system parameters are also found for maximum first attenuation bandwidth. Thus, broader bandgap generation enhances vibration attenuation, and energy harvesting can be simultaneously available, making these structures multifunctional. 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spelling 2021-06-09T10:24:46.8810841 v2 56334 2021-02-26 Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2021-02-26 FGSEN Elastic mechanical metamaterials are the exemplar of periodic structures. These are artificially designed structures having idiosyncratic physical properties like negative mass and negative Young’s modulus in specific frequency ranges. These extreme physical properties are due to the spatial periodicity of mechanical unit cells, which exhibit local resonance. That is why scientists are researching the dynamics of these structures for decades. This unusual dynamic behavior is frequency contingent, which modulates wave propagation through these structures. Locally resonant units in the designed metamaterial facilitate bandgap formation virtually at any frequency for wavelengths much higher than the lattice length of a unit. Here, we analyze the band structure of piezo-embedded negative mass metamaterial using the generalized Bloch theorem. For a finite number of the metamaterial units coupled equation of motion of the system is deduced, considering purely resistive and shunted inductor energy harvesting circuits. Successively, the voltage and power produced by piezoelectric material along with transmissibility of the system are computed using the backward substitution method. The addition of the piezoelectric material at the resonating unit increases the complexity of the solution. The results elucidate, the insertion of the piezoelectric material in the resonating unit provides better tunability in the band structure for simultaneous energy harvesting and vibration attenuation. Non-dimensional analysis of the system gives physical parameters that govern the formation of mechanical and electromechanical bandgaps. Optimized numerical values of these system parameters are also found for maximum first attenuation bandwidth. Thus, broader bandgap generation enhances vibration attenuation, and energy harvesting can be simultaneously available, making these structures multifunctional. This exploration can be considered as a step towards the active elastic mechanical metamaterials design. Journal Article International Journal of Mechanics and Materials in Design 17 419 439 Springer Science and Business Media LLC 1569-1713 1573-8841 Piezo-embedded negative mass metamaterial; Mechanical and electromechanical bandgaps; Mechanical metamaterials; Negative mass; Generalized Bloch theorem; Backward substitution method; Energy harvesting; Vibration attenuation; Piezoelectric material 13 2 2021 2021-02-13 10.1007/s10999-021-09534-0 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University SU Library paid the OA fee (TA Institutional Deal) The authors like to acknowledge Visvesvaraya Ph.D. Scheme, Media Lab Asia, Ministry of Electronics and Information Technology, Government of India, for supporting the scholarship (MLA /ME /2015210Q) of A.D. The authors also would like to acknowledge the SPARC project (MHRD /ME /2018544) for supporting this work. 2021-06-09T10:24:46.8810841 2021-02-26T10:48:24.0434177 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Ankur Dwivedi 1 Arnab Banerjee 2 Sondipon Adhikari 3 Bishakh Bhattacharya 4 56334__19382__422ae1391bdd47e4959a5aee77175159.pdf 56334.pdf 2021-02-26T10:49:41.0669832 Output 3248446 application/pdf Version of Record true ©The Author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License true eng http://creativecommons.org/licenses/by/4.0/
title Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials
spellingShingle Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials
Sondipon Adhikari
title_short Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials
title_full Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials
title_fullStr Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials
title_full_unstemmed Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials
title_sort Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 Ankur Dwivedi
Arnab Banerjee
Sondipon Adhikari
Bishakh Bhattacharya
format Journal article
container_title International Journal of Mechanics and Materials in Design
container_volume 17
container_start_page 419
publishDate 2021
institution Swansea University
issn 1569-1713
1573-8841
doi_str_mv 10.1007/s10999-021-09534-0
publisher Springer Science and Business Media LLC
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 Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
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description Elastic mechanical metamaterials are the exemplar of periodic structures. These are artificially designed structures having idiosyncratic physical properties like negative mass and negative Young’s modulus in specific frequency ranges. These extreme physical properties are due to the spatial periodicity of mechanical unit cells, which exhibit local resonance. That is why scientists are researching the dynamics of these structures for decades. This unusual dynamic behavior is frequency contingent, which modulates wave propagation through these structures. Locally resonant units in the designed metamaterial facilitate bandgap formation virtually at any frequency for wavelengths much higher than the lattice length of a unit. Here, we analyze the band structure of piezo-embedded negative mass metamaterial using the generalized Bloch theorem. For a finite number of the metamaterial units coupled equation of motion of the system is deduced, considering purely resistive and shunted inductor energy harvesting circuits. Successively, the voltage and power produced by piezoelectric material along with transmissibility of the system are computed using the backward substitution method. The addition of the piezoelectric material at the resonating unit increases the complexity of the solution. The results elucidate, the insertion of the piezoelectric material in the resonating unit provides better tunability in the band structure for simultaneous energy harvesting and vibration attenuation. Non-dimensional analysis of the system gives physical parameters that govern the formation of mechanical and electromechanical bandgaps. Optimized numerical values of these system parameters are also found for maximum first attenuation bandwidth. Thus, broader bandgap generation enhances vibration attenuation, and energy harvesting can be simultaneously available, making these structures multifunctional. This exploration can be considered as a step towards the active elastic mechanical metamaterials design.
published_date 2021-02-13T04:11:13Z
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