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Tuning of topological interface modes in an elastic beam array system with inerters

Milan Cajic, Johan Christensen, Sondipon Adhikari Orcid Logo

International Journal of Mechanical Sciences, Volume: 205, Start page: 106573

Swansea University Authors: Milan Cajic, Sondipon Adhikari Orcid Logo

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DOI (Published version): 10.1016/j.ijmecsci.2021.106573

Abstract

Topological phononic crystals in the mechanical setup became a topic of great interest owing to their applicability in various engineering systems such as waveguides or vibration isolation devices. If such systems are composed of elastic structures, they are usually characterized by a bulkedge corre...

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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/cronfa57081
first_indexed 2021-06-10T08:27:26Z
last_indexed 2021-08-14T03:21:33Z
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spelling 2021-08-13T14:34:46.1597844 v2 57081 2021-06-10 Tuning of topological interface modes in an elastic beam array system with inerters 08b3d2d27daffae99331d905f63a6697 Milan Cajic Milan Cajic true false 4ea84d67c4e414f5ccbd7593a40f04d3 0000-0003-4181-3457 Sondipon Adhikari Sondipon Adhikari true false 2021-06-10 ACEM Topological phononic crystals in the mechanical setup became a topic of great interest owing to their applicability in various engineering systems such as waveguides or vibration isolation devices. If such systems are composed of elastic structures, they are usually characterized by a bulkedge correspondence where the geometrical and material properties can play important role in the existence of stable surface and boundary modes. This work investigates the band transition and topological interface modes in a beam array system, where two sub-lattices of vertically aligned, parallel, and elastically coupled beams are connected at the chain center. To illustrate the existence of interface modes and understand their behavior, the corresponding eigenvalue problem is solved and frequency response function is sought for the system with a finite number of unit cells. Localization of the interface modes is demonstrated based on the steady-state responses of the beam array system to harmonic excitation. The effects of introduced defect masses and inerters on interface states are studied separately. It is revealed that the introduction of a small defect mass in the form of concentrated mass attached to some beam in the system does not affect the interface modes within the observed frequency range. On the other side, inerters produce frequency shifts towards lower values, which even in the case of small values of the inerter parameter causes the interface modes to vanish or even to appear inside another frequency band gap. The obtained results give an insight into the influence of inerter devices and their mass amplification effect on the interface states in complex periodic elastic systems. It also investigates the possibility to tune interface modes without significantly affecting the main band structure properties of the system. Journal Article International Journal of Mechanical Sciences 205 106573 Elsevier BV 0020-7403 InerterBeam array, Interface modes, Band transition, Topological insulators 1 9 2021 2021-09-01 10.1016/j.ijmecsci.2021.106573 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University 2021-08-13T14:34:46.1597844 2021-06-10T09:22:26.6415064 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Milan Cajic 1 Johan Christensen 2 Sondipon Adhikari 0000-0003-4181-3457 3 57081__20112__f0d9f07a8e6e4685b1585a7c7360e624.pdf 57081.pdf 2021-06-10T09:26:51.5689630 Output 6004568 application/pdf Accepted Manuscript true 2022-06-05T00:00:00.0000000 ©2021 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 http://creativecommons.org/licenses/by-nc-nd/4.0/
title Tuning of topological interface modes in an elastic beam array system with inerters
spellingShingle Tuning of topological interface modes in an elastic beam array system with inerters
Milan Cajic
Sondipon Adhikari
title_short Tuning of topological interface modes in an elastic beam array system with inerters
title_full Tuning of topological interface modes in an elastic beam array system with inerters
title_fullStr Tuning of topological interface modes in an elastic beam array system with inerters
title_full_unstemmed Tuning of topological interface modes in an elastic beam array system with inerters
title_sort Tuning of topological interface modes in an elastic beam array system with inerters
author_id_str_mv 08b3d2d27daffae99331d905f63a6697
4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 08b3d2d27daffae99331d905f63a6697_***_Milan Cajic
4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Milan Cajic
Sondipon Adhikari
author2 Milan Cajic
Johan Christensen
Sondipon Adhikari
format Journal article
container_title International Journal of Mechanical Sciences
container_volume 205
container_start_page 106573
publishDate 2021
institution Swansea University
issn 0020-7403
doi_str_mv 10.1016/j.ijmecsci.2021.106573
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 Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
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description Topological phononic crystals in the mechanical setup became a topic of great interest owing to their applicability in various engineering systems such as waveguides or vibration isolation devices. If such systems are composed of elastic structures, they are usually characterized by a bulkedge correspondence where the geometrical and material properties can play important role in the existence of stable surface and boundary modes. This work investigates the band transition and topological interface modes in a beam array system, where two sub-lattices of vertically aligned, parallel, and elastically coupled beams are connected at the chain center. To illustrate the existence of interface modes and understand their behavior, the corresponding eigenvalue problem is solved and frequency response function is sought for the system with a finite number of unit cells. Localization of the interface modes is demonstrated based on the steady-state responses of the beam array system to harmonic excitation. The effects of introduced defect masses and inerters on interface states are studied separately. It is revealed that the introduction of a small defect mass in the form of concentrated mass attached to some beam in the system does not affect the interface modes within the observed frequency range. On the other side, inerters produce frequency shifts towards lower values, which even in the case of small values of the inerter parameter causes the interface modes to vanish or even to appear inside another frequency band gap. The obtained results give an insight into the influence of inerter devices and their mass amplification effect on the interface states in complex periodic elastic systems. It also investigates the possibility to tune interface modes without significantly affecting the main band structure properties of the system.
published_date 2021-09-01T14:05:57Z
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