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Energy harvesting from the secondary resonances of a nonlinear piezoelectric beam under hard harmonic excitation

Masoud Rezaei, Siamak E. Khadem, Michael Friswell

Meccanica, Volume: 55, Issue: 7, Pages: 1463 - 1479

Swansea University Author: Michael Friswell

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DOI (Published version): 10.1007/s11012-020-01187-1

Abstract

This paper investigates the dynamical response of a nonlinear piezoelectric energy harvester under a hard harmonic excitation and assesses its output power. The system is composed of a unimorph cantilever beam with a tip mass and exposed to an harmonic tip excitation with a hard forcing amplitude. F...

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Published in: Meccanica
ISSN: 0025-6455 1572-9648
Published: Springer Science and Business Media LLC 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa54504
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spelling 2022-11-15T16:11:51.7427563 v2 54504 2020-06-18 Energy harvesting from the secondary resonances of a nonlinear piezoelectric beam under hard harmonic excitation 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2020-06-18 FGSEN This paper investigates the dynamical response of a nonlinear piezoelectric energy harvester under a hard harmonic excitation and assesses its output power. The system is composed of a unimorph cantilever beam with a tip mass and exposed to an harmonic tip excitation with a hard forcing amplitude. First, the governing dimensionless nonlinear electromechanical ordinary differential equations (ODEs) are obtained. Next, the multiple scales method (MSM) is exploited to provide an approximate-analytical solution for the ODEs in hard and soft forcing scenarios. It is observed that, the hard force results in sub- and super-harmonic resonances. The MSM-based solutions are then validated by a numerical integration method and a good agreement is observed between the approximate-analytical and numerical results. Furthermore, utilizing the MSM-based solutions for the subharmonic, superharmonic, and soft primary resonances cases, the associated frequency and force response curves are constructed. It is revealed that the hard excitation leads to a remarkable voltage generation in the secondary resonances; this leads to a broadband energy harvesting. In addition, the time-domain electrical responses of the secondary resonances are also obtained and compared with each other. Finally, the three-dimensional graphs of the electrical power versus detuning parameter and time constant ratio in the cases of the secondary resonances are plotted. The results show that the optimum output power of the superharmonic resonance is considerably larger than the maximum power of the subharmonic resonance case. Journal Article Meccanica 55 7 1463 1479 Springer Science and Business Media LLC 0025-6455 1572-9648 PZT energy harvesting; Hard excitation; Subharmonic resonance; Superharmonic resonance; Broadband energy harvesting; Numerical verification 1 7 2020 2020-07-01 10.1007/s11012-020-01187-1 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2022-11-15T16:11:51.7427563 2020-06-18T11:12:37.5884935 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Masoud Rezaei 1 Siamak E. Khadem 2 Michael Friswell 3 54504__17531__8f3fb194eac34dd0a8a5a57731a4f643.pdf 54504.pdf 2020-06-18T13:35:21.8810071 Output 3853213 application/pdf Accepted Manuscript true 2021-06-08T00:00:00.0000000 true eng
title Energy harvesting from the secondary resonances of a nonlinear piezoelectric beam under hard harmonic excitation
spellingShingle Energy harvesting from the secondary resonances of a nonlinear piezoelectric beam under hard harmonic excitation
Michael Friswell
title_short Energy harvesting from the secondary resonances of a nonlinear piezoelectric beam under hard harmonic excitation
title_full Energy harvesting from the secondary resonances of a nonlinear piezoelectric beam under hard harmonic excitation
title_fullStr Energy harvesting from the secondary resonances of a nonlinear piezoelectric beam under hard harmonic excitation
title_full_unstemmed Energy harvesting from the secondary resonances of a nonlinear piezoelectric beam under hard harmonic excitation
title_sort Energy harvesting from the secondary resonances of a nonlinear piezoelectric beam under hard harmonic excitation
author_id_str_mv 5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv 5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Michael Friswell
author2 Masoud Rezaei
Siamak E. Khadem
Michael Friswell
format Journal article
container_title Meccanica
container_volume 55
container_issue 7
container_start_page 1463
publishDate 2020
institution Swansea University
issn 0025-6455
1572-9648
doi_str_mv 10.1007/s11012-020-01187-1
publisher Springer Science and Business Media LLC
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 This paper investigates the dynamical response of a nonlinear piezoelectric energy harvester under a hard harmonic excitation and assesses its output power. The system is composed of a unimorph cantilever beam with a tip mass and exposed to an harmonic tip excitation with a hard forcing amplitude. First, the governing dimensionless nonlinear electromechanical ordinary differential equations (ODEs) are obtained. Next, the multiple scales method (MSM) is exploited to provide an approximate-analytical solution for the ODEs in hard and soft forcing scenarios. It is observed that, the hard force results in sub- and super-harmonic resonances. The MSM-based solutions are then validated by a numerical integration method and a good agreement is observed between the approximate-analytical and numerical results. Furthermore, utilizing the MSM-based solutions for the subharmonic, superharmonic, and soft primary resonances cases, the associated frequency and force response curves are constructed. It is revealed that the hard excitation leads to a remarkable voltage generation in the secondary resonances; this leads to a broadband energy harvesting. In addition, the time-domain electrical responses of the secondary resonances are also obtained and compared with each other. Finally, the three-dimensional graphs of the electrical power versus detuning parameter and time constant ratio in the cases of the secondary resonances are plotted. The results show that the optimum output power of the superharmonic resonance is considerably larger than the maximum power of the subharmonic resonance case.
published_date 2020-07-01T04:08:05Z
_version_ 1763753575386710016
score 11.012678

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