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Using time delay in the nonlinear oscillations of magnetic levitation for simultaneous energy harvesting and vibration suppression

Peyman Firoozy, Michael Friswell, Qingbin Gao

International Journal of Mechanical Sciences, Start page: 105098

Swansea University Author: Michael Friswell

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DOI (Published version): 10.1016/j.ijmecsci.2019.105098

Abstract

In this paper, the nonlinear oscillations of magnetic levitation in the presence of a time delay is investigated, with the purpose of simultaneous energy harvesting and vibration suppression. To harvest energy, a coil with seven layers of 36 gauge wire wound around the outer casing is utilized. Alth...

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Published in: International Journal of Mechanical Sciences
ISSN: 0020-7403
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa51617
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first_indexed 2019-08-29T14:53:23Z
last_indexed 2019-09-09T21:25:22Z
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spelling 2019-09-09T15:48:36.6649771 v2 51617 2019-08-29 Using time delay in the nonlinear oscillations of magnetic levitation for simultaneous energy harvesting and vibration suppression 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2019-08-29 FGSEN In this paper, the nonlinear oscillations of magnetic levitation in the presence of a time delay is investigated, with the purpose of simultaneous energy harvesting and vibration suppression. To harvest energy, a coil with seven layers of 36 gauge wire wound around the outer casing is utilized. Although the proposed control feedback consumes some power, the results show the harvestable power can be much larger than the consumed power, which makes the proposed concept feasible. The first-order perturbation method is utilized to examine the possibility of energy harvesting and vibration suppression for different selections of the delay parameters, the distances between the magnets and the external load resistances. In addition, the stability map of the time-delayed control is analytically determined. The influence of the time delay parameters chosen from Single Periodic Solutions (SPS) and Multiple Periodic Solutions (MPS) on the vibration and power amplitudes is studied. It is shown that a point chosen from the MPS region enables the system to harvest power over a broad range of excitation frequencies. Also, the effect of the distance between the magnets on the frequency response of the system is examined. In addition, to select the optimum value for the distance between the magnets for different values of the time delay parameters, a parameter called the Perfection Rate (PR), which reflects both the electrical and mechanical behavior of the system, is used. Finally, it is shown that the presence of the time delay and a point chosen from the MPS region enables the system to harvest more power over a broad range of excitation frequency and to suppress higher levels of vibration, than for a point chosen from the SPS region and without time delay. Journal Article International Journal of Mechanical Sciences 105098 0020-7403 31 12 2019 2019-12-31 10.1016/j.ijmecsci.2019.105098 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2019-09-09T15:48:36.6649771 2019-08-29T09:47:01.2648383 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Peyman Firoozy 1 Michael Friswell 2 Qingbin Gao 3 0051617-29082019095131.pdf firoozy2019.pdf 2019-08-29T09:51:31.8100000 Output 1204955 application/pdf Accepted Manuscript true 2020-08-23T00:00:00.0000000 true eng
title Using time delay in the nonlinear oscillations of magnetic levitation for simultaneous energy harvesting and vibration suppression
spellingShingle Using time delay in the nonlinear oscillations of magnetic levitation for simultaneous energy harvesting and vibration suppression
Michael Friswell
title_short Using time delay in the nonlinear oscillations of magnetic levitation for simultaneous energy harvesting and vibration suppression
title_full Using time delay in the nonlinear oscillations of magnetic levitation for simultaneous energy harvesting and vibration suppression
title_fullStr Using time delay in the nonlinear oscillations of magnetic levitation for simultaneous energy harvesting and vibration suppression
title_full_unstemmed Using time delay in the nonlinear oscillations of magnetic levitation for simultaneous energy harvesting and vibration suppression
title_sort Using time delay in the nonlinear oscillations of magnetic levitation for simultaneous energy harvesting and vibration suppression
author_id_str_mv 5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv 5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Michael Friswell
author2 Peyman Firoozy
Michael Friswell
Qingbin Gao
format Journal article
container_title International Journal of Mechanical Sciences
container_start_page 105098
publishDate 2019
institution Swansea University
issn 0020-7403
doi_str_mv 10.1016/j.ijmecsci.2019.105098
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 In this paper, the nonlinear oscillations of magnetic levitation in the presence of a time delay is investigated, with the purpose of simultaneous energy harvesting and vibration suppression. To harvest energy, a coil with seven layers of 36 gauge wire wound around the outer casing is utilized. Although the proposed control feedback consumes some power, the results show the harvestable power can be much larger than the consumed power, which makes the proposed concept feasible. The first-order perturbation method is utilized to examine the possibility of energy harvesting and vibration suppression for different selections of the delay parameters, the distances between the magnets and the external load resistances. In addition, the stability map of the time-delayed control is analytically determined. The influence of the time delay parameters chosen from Single Periodic Solutions (SPS) and Multiple Periodic Solutions (MPS) on the vibration and power amplitudes is studied. It is shown that a point chosen from the MPS region enables the system to harvest power over a broad range of excitation frequencies. Also, the effect of the distance between the magnets on the frequency response of the system is examined. In addition, to select the optimum value for the distance between the magnets for different values of the time delay parameters, a parameter called the Perfection Rate (PR), which reflects both the electrical and mechanical behavior of the system, is used. Finally, it is shown that the presence of the time delay and a point chosen from the MPS region enables the system to harvest more power over a broad range of excitation frequency and to suppress higher levels of vibration, than for a point chosen from the SPS region and without time delay.
published_date 2019-12-31T04:03:35Z
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score 11.012678

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