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Linear Control of a Nonlinear Equipment Mounting Link

Darren Williams Orcid Logo, Javad Taghipour, Hamed Haddad Khodaparast Orcid Logo, Shakir Jiffri Orcid Logo

Vibration, Volume: 4, Issue: 3, Pages: 679 - 699

Swansea University Authors: Javad Taghipour, Hamed Haddad Khodaparast Orcid Logo, Shakir Jiffri Orcid Logo

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Abstract

The linear control of a nonlinear response is investigated in this paper, and a nonlinear model of the system is developed and validated. The design of the control system has been constrained based on a suggested application, wherein mass and expense are parameters to be kept to a minimum. Through t...

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Published in: Vibration
ISSN: 2571-631X
Published: MDPI AG 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa70418
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last_indexed 2025-10-31T08:54:53Z
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spelling 2025-10-29T12:14:34.6531156 v2 70418 2025-09-21 Linear Control of a Nonlinear Equipment Mounting Link dc7cba835218dde37fe7f447962d4058 Javad Taghipour Javad Taghipour true false f207b17edda9c4c3ea074cbb7555efc1 0000-0002-3721-4980 Hamed Haddad Khodaparast Hamed Haddad Khodaparast true false 1d7a7d2a8f10ec98afed15a4b4b791c4 0000-0002-5570-5783 Shakir Jiffri Shakir Jiffri true false 2025-09-21 The linear control of a nonlinear response is investigated in this paper, and a nonlinear model of the system is developed and validated. The design of the control system has been constrained based on a suggested application, wherein mass and expense are parameters to be kept to a minimum. Through these restrictions, the array of potential applications for the control system is widened. The structure is envisioned as a robot manipulator link, and the control system utilises piezoelectric elements as both sensors and actuators. A nonlinear response is induced in the structure, and the control system is employed to attenuate these vibrations which would be considered a nuisance in practical applications. The nonlinear model is developed based on Euler–Bernoulli beam theory, where unknown parameters are obtained through optimisation based on a comparison with experimentally obtained data. This updated nonlinear model is then compared with the experimental results as a method of empirical validation. This research offers both a solution to unwanted nonlinear vibrations in a system, where weight and cost are driving design factors, and a method to model the response of a flexible link under conditions which yield a nonlinear response. Journal Article Vibration 4 3 679 699 MDPI AG 2571-631X active vibration control; geometric nonlinearity; nonlinear vibration test 31 8 2021 2021-08-31 10.3390/vibration4030038 COLLEGE NANME COLLEGE CODE Swansea University Another institution paid the OA fee This research was funded by the Engineering and Physical Sciences Research Council (EPSRC) Doctoral Training Partnership (DTP). 2025-10-29T12:14:34.6531156 2025-09-21T11:31:44.2771133 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering Darren Williams 0000-0003-3433-0326 1 Javad Taghipour 2 Hamed Haddad Khodaparast 0000-0002-3721-4980 3 Shakir Jiffri 0000-0002-5570-5783 4 70418__35492__4e23ff2ed504423888f551c5895fa057.pdf 70418.VOR.pdf 2025-10-29T12:10:21.3633766 Output 2221609 application/pdf Version of Record true © 2021 by the authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license. true eng https://creativecommons.org/licenses/by/4.0/
title Linear Control of a Nonlinear Equipment Mounting Link
spellingShingle Linear Control of a Nonlinear Equipment Mounting Link
Javad Taghipour
Hamed Haddad Khodaparast
Shakir Jiffri
title_short Linear Control of a Nonlinear Equipment Mounting Link
title_full Linear Control of a Nonlinear Equipment Mounting Link
title_fullStr Linear Control of a Nonlinear Equipment Mounting Link
title_full_unstemmed Linear Control of a Nonlinear Equipment Mounting Link
title_sort Linear Control of a Nonlinear Equipment Mounting Link
author_id_str_mv dc7cba835218dde37fe7f447962d4058
f207b17edda9c4c3ea074cbb7555efc1
1d7a7d2a8f10ec98afed15a4b4b791c4
author_id_fullname_str_mv dc7cba835218dde37fe7f447962d4058_***_Javad Taghipour
f207b17edda9c4c3ea074cbb7555efc1_***_Hamed Haddad Khodaparast
1d7a7d2a8f10ec98afed15a4b4b791c4_***_Shakir Jiffri
author Javad Taghipour
Hamed Haddad Khodaparast
Shakir Jiffri
author2 Darren Williams
Javad Taghipour
Hamed Haddad Khodaparast
Shakir Jiffri
format Journal article
container_title Vibration
container_volume 4
container_issue 3
container_start_page 679
publishDate 2021
institution Swansea University
issn 2571-631X
doi_str_mv 10.3390/vibration4030038
publisher MDPI AG
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 The linear control of a nonlinear response is investigated in this paper, and a nonlinear model of the system is developed and validated. The design of the control system has been constrained based on a suggested application, wherein mass and expense are parameters to be kept to a minimum. Through these restrictions, the array of potential applications for the control system is widened. The structure is envisioned as a robot manipulator link, and the control system utilises piezoelectric elements as both sensors and actuators. A nonlinear response is induced in the structure, and the control system is employed to attenuate these vibrations which would be considered a nuisance in practical applications. The nonlinear model is developed based on Euler–Bernoulli beam theory, where unknown parameters are obtained through optimisation based on a comparison with experimentally obtained data. This updated nonlinear model is then compared with the experimental results as a method of empirical validation. This research offers both a solution to unwanted nonlinear vibrations in a system, where weight and cost are driving design factors, and a method to model the response of a flexible link under conditions which yield a nonlinear response.
published_date 2021-08-31T05:30:50Z
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