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Periodic response of a nonlinear axially moving beam with a nonlinear energy sink and piezoelectric attachment

Danilo Karlicic Orcid Logo, Milan Cajić, Stepa Paunović, Sondipon Adhikari

International Journal of Mechanical Sciences, Volume: 195, Start page: 106230

Swansea University Authors: Danilo Karlicic Orcid Logo, Sondipon Adhikari

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Abstract

An efficient semi-numerical framework is used in this paper to analyze the dynamic model of an axially moving beam with a nonlinear attachment composed of a nonlinear energy sink and a piezoelectric device. The governing equations of motion of the system are derived by using the Hamilton’s principle...

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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/cronfa55909
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spelling 2021-02-15T15:50:20.8265287 v2 55909 2020-12-17 Periodic response of a nonlinear axially moving beam with a nonlinear energy sink and piezoelectric attachment d99ee591771c238aab350833247c8eb9 0000-0002-7547-9293 Danilo Karlicic Danilo Karlicic true false 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2020-12-17 EEN An efficient semi-numerical framework is used in this paper to analyze the dynamic model of an axially moving beam with a nonlinear attachment composed of a nonlinear energy sink and a piezoelectric device. The governing equations of motion of the system are derived by using the Hamilton’s principle with von Karman strain-displacement relation and Euler - Bernoulli beam theory. The nonlinear energy sink is modeled as a lumped - mass system composed of a point mass, a spring with nonlinear cubic stiffness and a linear viscous damping element. The piezoelectric device is placed in the ground configuration. Frequency response curves of the presented nonlinear system are determined by introducing the incremental harmonic balance and continuation method for different values of material parameters. Based on the Floquet theory, the stability of the periodic solution was determined. Moreover, the presented results are validated with the results obtained by a numerical method as well as the results from the literature. Numerical examples show a significant effect of the nonlinear attachment on frequency response diagrams and vibration amplitude reduction of the primary beam structure. Journal Article International Journal of Mechanical Sciences 195 106230 Elsevier BV 0020-7403 Axially moving beam, Nonlinear energy sink, Vibration attenuation, Incremental harmonic balance, Frequency response 1 4 2021 2021-04-01 10.1016/j.ijmecsci.2020.106230 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2021-02-15T15:50:20.8265287 2020-12-17T09:55:17.8809655 College of Engineering Engineering Danilo Karlicic 0000-0002-7547-9293 1 Milan Cajić 2 Stepa Paunović 3 Sondipon Adhikari 4 55909__18902__445708c3645742ad896c2004e9696eec.pdf 55909.pdf 2020-12-17T09:57:15.3310310 Output 11270574 application/pdf Accepted Manuscript true 2021-12-16T00:00:00.0000000 ©2020 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 Periodic response of a nonlinear axially moving beam with a nonlinear energy sink and piezoelectric attachment
spellingShingle Periodic response of a nonlinear axially moving beam with a nonlinear energy sink and piezoelectric attachment
Danilo Karlicic
Sondipon Adhikari
title_short Periodic response of a nonlinear axially moving beam with a nonlinear energy sink and piezoelectric attachment
title_full Periodic response of a nonlinear axially moving beam with a nonlinear energy sink and piezoelectric attachment
title_fullStr Periodic response of a nonlinear axially moving beam with a nonlinear energy sink and piezoelectric attachment
title_full_unstemmed Periodic response of a nonlinear axially moving beam with a nonlinear energy sink and piezoelectric attachment
title_sort Periodic response of a nonlinear axially moving beam with a nonlinear energy sink and piezoelectric attachment
author_id_str_mv d99ee591771c238aab350833247c8eb9
4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv d99ee591771c238aab350833247c8eb9_***_Danilo Karlicic
4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Danilo Karlicic
Sondipon Adhikari
author2 Danilo Karlicic
Milan Cajić
Stepa Paunović
Sondipon Adhikari
format Journal article
container_title International Journal of Mechanical Sciences
container_volume 195
container_start_page 106230
publishDate 2021
institution Swansea University
issn 0020-7403
doi_str_mv 10.1016/j.ijmecsci.2020.106230
publisher Elsevier BV
college_str College of Engineering
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hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
document_store_str 1
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description An efficient semi-numerical framework is used in this paper to analyze the dynamic model of an axially moving beam with a nonlinear attachment composed of a nonlinear energy sink and a piezoelectric device. The governing equations of motion of the system are derived by using the Hamilton’s principle with von Karman strain-displacement relation and Euler - Bernoulli beam theory. The nonlinear energy sink is modeled as a lumped - mass system composed of a point mass, a spring with nonlinear cubic stiffness and a linear viscous damping element. The piezoelectric device is placed in the ground configuration. Frequency response curves of the presented nonlinear system are determined by introducing the incremental harmonic balance and continuation method for different values of material parameters. Based on the Floquet theory, the stability of the periodic solution was determined. Moreover, the presented results are validated with the results obtained by a numerical method as well as the results from the literature. Numerical examples show a significant effect of the nonlinear attachment on frequency response diagrams and vibration amplitude reduction of the primary beam structure.
published_date 2021-04-01T04:11:12Z
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