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Bifurcation analysis and nonlinear dynamics of a capacitive energy harvester in the vicinity of the primary and secondary resonances

Saber Azizi, Hadi Madinei Orcid Logo, Javad Taghipour, Hassen M. Ouakad Orcid Logo

Nonlinear Dynamics, Volume: 108

Swansea University Authors: Hadi Madinei Orcid Logo, Javad Taghipour

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Abstract

The objective of the present study is to examine the effect of nonlinearity on the efficiency enhancement of a capacitive energy harvester. The model consists of a cantilever microbeam underneath which there is an electret layer with a surface voltage, which is responsible for the driving energy. Th...

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Published in: Nonlinear Dynamics
ISSN: 0924-090X 1573-269X
Published: Springer Science and Business Media LLC 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa59485
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spelling 2023-01-19T13:08:54.0454400 v2 59485 2022-03-03 Bifurcation analysis and nonlinear dynamics of a capacitive energy harvester in the vicinity of the primary and secondary resonances d9a10856ae9e6a71793eab2365cff8b6 0000-0002-3401-1467 Hadi Madinei Hadi Madinei true false dc7cba835218dde37fe7f447962d4058 Javad Taghipour Javad Taghipour true false 2022-03-03 AERO The objective of the present study is to examine the effect of nonlinearity on the efficiency enhancement of a capacitive energy harvester. The model consists of a cantilever microbeam underneath which there is an electret layer with a surface voltage, which is responsible for the driving energy. The packaged device is exposed to unwanted harmonic mechanical excitation. The microbeam undergoes mechanical vibration, and accordingly, the energy is harvested throughout the output electric circuit. The dynamic formulation accounts for nonlinear curvature, inertia, and nonlinear electrostatic force. The efficiency of the device in the vicinity of the primary and super-harmonic resonances is examined, and accordingly, the output power is evaluated. Bifurcation analysis is carried out on the dynamics of the system by detecting the bifurcations in the frequency domain and diagnosing their respective types. One of the challenging issues in the design and analysis of energy-harvesting devices is to broaden the bandwidth so that more frequencies are potentially accomodated within the amplification region. In this study, the effect of the nonlinearity on the bandwidth broadening, as well as efficiency improvement of the device, are examined. It is seen that as the base excitation amplitude increases, the vibration amplitude does also increase and accordingly the nonlinearity dominates. The super-harmonic resonance regions emerge and get bigger as the vibration amplitude increases, and pull-in gaps appear in the frequency response curves. Journal Article Nonlinear Dynamics 108 Springer Science and Business Media LLC 0924-090X 1573-269X Capacitance; Energy-harvesting device; Nonlinearity; Cantilever; MEMS 18 2 2022 2022-02-18 10.1007/s11071-022-07271-3 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University SU Library paid the OA fee (TA Institutional Deal) 2023-01-19T13:08:54.0454400 2022-03-03T11:12:42.0119952 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering Saber Azizi 1 Hadi Madinei 0000-0002-3401-1467 2 Javad Taghipour 3 Hassen M. Ouakad 0000-0001-7262-2130 4 59485__22500__fa8926f414e3445ca87f7c265af3d767.pdf 59485.pdf 2022-03-03T11:14:56.7479952 Output 2601439 application/pdf Version of Record true Copyright: The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License true eng http://creativecommons.org/licenses/by/4.0/
title Bifurcation analysis and nonlinear dynamics of a capacitive energy harvester in the vicinity of the primary and secondary resonances
spellingShingle Bifurcation analysis and nonlinear dynamics of a capacitive energy harvester in the vicinity of the primary and secondary resonances
Hadi Madinei
Javad Taghipour
title_short Bifurcation analysis and nonlinear dynamics of a capacitive energy harvester in the vicinity of the primary and secondary resonances
title_full Bifurcation analysis and nonlinear dynamics of a capacitive energy harvester in the vicinity of the primary and secondary resonances
title_fullStr Bifurcation analysis and nonlinear dynamics of a capacitive energy harvester in the vicinity of the primary and secondary resonances
title_full_unstemmed Bifurcation analysis and nonlinear dynamics of a capacitive energy harvester in the vicinity of the primary and secondary resonances
title_sort Bifurcation analysis and nonlinear dynamics of a capacitive energy harvester in the vicinity of the primary and secondary resonances
author_id_str_mv d9a10856ae9e6a71793eab2365cff8b6
dc7cba835218dde37fe7f447962d4058
author_id_fullname_str_mv d9a10856ae9e6a71793eab2365cff8b6_***_Hadi Madinei
dc7cba835218dde37fe7f447962d4058_***_Javad Taghipour
author Hadi Madinei
Javad Taghipour
author2 Saber Azizi
Hadi Madinei
Javad Taghipour
Hassen M. Ouakad
format Journal article
container_title Nonlinear Dynamics
container_volume 108
publishDate 2022
institution Swansea University
issn 0924-090X
1573-269X
doi_str_mv 10.1007/s11071-022-07271-3
publisher Springer Science and Business Media LLC
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 objective of the present study is to examine the effect of nonlinearity on the efficiency enhancement of a capacitive energy harvester. The model consists of a cantilever microbeam underneath which there is an electret layer with a surface voltage, which is responsible for the driving energy. The packaged device is exposed to unwanted harmonic mechanical excitation. The microbeam undergoes mechanical vibration, and accordingly, the energy is harvested throughout the output electric circuit. The dynamic formulation accounts for nonlinear curvature, inertia, and nonlinear electrostatic force. The efficiency of the device in the vicinity of the primary and super-harmonic resonances is examined, and accordingly, the output power is evaluated. Bifurcation analysis is carried out on the dynamics of the system by detecting the bifurcations in the frequency domain and diagnosing their respective types. One of the challenging issues in the design and analysis of energy-harvesting devices is to broaden the bandwidth so that more frequencies are potentially accomodated within the amplification region. In this study, the effect of the nonlinearity on the bandwidth broadening, as well as efficiency improvement of the device, are examined. It is seen that as the base excitation amplitude increases, the vibration amplitude does also increase and accordingly the nonlinearity dominates. The super-harmonic resonance regions emerge and get bigger as the vibration amplitude increases, and pull-in gaps appear in the frequency response curves.
published_date 2022-02-18T04:16:50Z
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