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Inertial amplification band-gap generation by coupling a levered mass with a locally resonant mass

Arnab Banerjee, Sondipon Adhikari, Mahmoud I. Hussein

International Journal of Mechanical Sciences, Volume: 207, Start page: 106630

Swansea University Author: Sondipon Adhikari

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DOI (Published version): 10.1016/j.ijmecsci.2021.106630

Abstract

Inertial amplification has been utilized in phononic media as a mechanism for the generation of large band gaps at low subwavelength frequencies. A unique feature in an inertial-amplification band gap is that it may exhibit two coupled peaks in the imaginary wavenumber portion of its band diagram. T...

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Published in: International Journal of Mechanical Sciences
ISSN: 0020-7403
Published: Elsevier BV 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa57264
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spelling 2021-08-04T14:28:43.1558371 v2 57264 2021-07-05 Inertial amplification band-gap generation by coupling a levered mass with a locally resonant mass 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2021-07-05 FGSEN Inertial amplification has been utilized in phononic media as a mechanism for the generation of large band gaps at low subwavelength frequencies. A unique feature in an inertial-amplification band gap is that it may exhibit two coupled peaks in the imaginary wavenumber portion of its band diagram. This unique double-attenuation band gap has been shown to emerge from a periodic arrangement of a levered mass whose motion is directly connected to that of an independent degree of freedom in the system through the motion of the lever base. Here we demonstrate a double-attenuation band gap emerging from a modal coupling of the levered mass with a conventional local-resonance mass separately attached to the base. This presents a fundamentally distinct mechanical mechanism for the shaping of inertially-amplified band gaps and provides a pathway for realising a combination of strength and breadth in the wave attenuation characteristics. We theoretically present this concept, analytically identify critical conditions for the coupling of the attenuation peaks, and provide a series of parametric sweeps to further highlight the phenomenon and guide design. For example, we find a design with a relatively elevated level of minimum attenuation over practically the entire width of a band gap with a relative size of , and another design with a smaller band gap but a 15-fold increase in the minimum attenuation strength compared to a pure IA chain. Journal Article International Journal of Mechanical Sciences 207 106630 Elsevier BV 0020-7403 elastic metamaterials, inertial amplification, local resonance, band gaps, elastic waves, vibration attenuation 1 10 2021 2021-10-01 10.1016/j.ijmecsci.2021.106630 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2021-08-04T14:28:43.1558371 2021-07-05T09:21:17.7635490 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Arnab Banerjee 1 Sondipon Adhikari 2 Mahmoud I. Hussein 3 57264__20328__783174360b284d9c9e048844973688ee.pdf 57264.pdf 2021-07-05T09:23:23.1563278 Output 8789818 application/pdf Accepted Manuscript true 2022-07-02T00:00:00.0000000 Released under the terms of a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) License true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title Inertial amplification band-gap generation by coupling a levered mass with a locally resonant mass
spellingShingle Inertial amplification band-gap generation by coupling a levered mass with a locally resonant mass
Sondipon Adhikari
title_short Inertial amplification band-gap generation by coupling a levered mass with a locally resonant mass
title_full Inertial amplification band-gap generation by coupling a levered mass with a locally resonant mass
title_fullStr Inertial amplification band-gap generation by coupling a levered mass with a locally resonant mass
title_full_unstemmed Inertial amplification band-gap generation by coupling a levered mass with a locally resonant mass
title_sort Inertial amplification band-gap generation by coupling a levered mass with a locally resonant mass
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 Arnab Banerjee
Sondipon Adhikari
Mahmoud I. Hussein
format Journal article
container_title International Journal of Mechanical Sciences
container_volume 207
container_start_page 106630
publishDate 2021
institution Swansea University
issn 0020-7403
doi_str_mv 10.1016/j.ijmecsci.2021.106630
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
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
document_store_str 1
active_str 0
description Inertial amplification has been utilized in phononic media as a mechanism for the generation of large band gaps at low subwavelength frequencies. A unique feature in an inertial-amplification band gap is that it may exhibit two coupled peaks in the imaginary wavenumber portion of its band diagram. This unique double-attenuation band gap has been shown to emerge from a periodic arrangement of a levered mass whose motion is directly connected to that of an independent degree of freedom in the system through the motion of the lever base. Here we demonstrate a double-attenuation band gap emerging from a modal coupling of the levered mass with a conventional local-resonance mass separately attached to the base. This presents a fundamentally distinct mechanical mechanism for the shaping of inertially-amplified band gaps and provides a pathway for realising a combination of strength and breadth in the wave attenuation characteristics. We theoretically present this concept, analytically identify critical conditions for the coupling of the attenuation peaks, and provide a series of parametric sweeps to further highlight the phenomenon and guide design. For example, we find a design with a relatively elevated level of minimum attenuation over practically the entire width of a band gap with a relative size of , and another design with a smaller band gap but a 15-fold increase in the minimum attenuation strength compared to a pure IA chain.
published_date 2021-10-01T04:12:52Z
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score 11.016392

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