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Energy harvesting from a non-linear standing beam–mass system: Two- versus one-mode approximations

S Amir Mousavi Lajimi, Michael Friswell

Journal of Intelligent Material Systems and Structures, Volume: 28, Issue: 8, Pages: 1010 - 1022

Swansea University Author: Michael Friswell

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DOI (Published version): 10.1177/1045389X16667852

Abstract

We investigate the effect of including the second mode of natural vibration on the computed response of a forced non-linear gravity-loaded beam–mass structure used for non-linear piezoelectric energy harvesting. Using the method of assumed-modes and Lagrange’s equations, we develop the discretized e...

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Published in: Journal of Intelligent Material Systems and Structures
ISSN: 1045-389X 1530-8138
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa33943
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first_indexed 2017-05-26T14:05:23Z
last_indexed 2018-02-09T05:23:35Z
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spelling 2017-07-31T14:58:54.0993906 v2 33943 2017-05-26 Energy harvesting from a non-linear standing beam–mass system: Two- versus one-mode approximations 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2017-05-26 FGSEN We investigate the effect of including the second mode of natural vibration on the computed response of a forced non-linear gravity-loaded beam–mass structure used for non-linear piezoelectric energy harvesting. Using the method of assumed-modes and Lagrange’s equations, we develop the discretized equations of generalized coordinates of the system including the electro-mechanical equation. The equation of motion is further simplified to find the single-mode approximation. The phase-portraits, time-histories, Poincaré sections, and frequency–response curves of the system are computed. It is shown that the number of mode shapes affects the response, and it is required to include higher modes to improve the analytical–computational results. The system shows distinct behavior varying from a linear single-frequency response to a multi-frequency chaotic response. The average power across the load resistor consequently shows a noticeable variation depending on the characteristics of the overall system response. Journal Article Journal of Intelligent Material Systems and Structures 28 8 1010 1022 1045-389X 1530-8138 Energy harvesting, piezoelectric, bi-stable, bifurcation diagram, Poincaré section, frequency–response curve 1 5 2017 2017-05-01 10.1177/1045389X16667852 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2017-07-31T14:58:54.0993906 2017-05-26T09:14:30.8296574 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised S Amir Mousavi Lajimi 1 Michael Friswell 2 0033943-30052017084821.pdf lajimi2017.pdf 2017-05-30T08:48:21.5800000 Output 1837747 application/pdf Accepted Manuscript true 2017-05-30T00:00:00.0000000 true eng
title Energy harvesting from a non-linear standing beam–mass system: Two- versus one-mode approximations
spellingShingle Energy harvesting from a non-linear standing beam–mass system: Two- versus one-mode approximations
Michael Friswell
title_short Energy harvesting from a non-linear standing beam–mass system: Two- versus one-mode approximations
title_full Energy harvesting from a non-linear standing beam–mass system: Two- versus one-mode approximations
title_fullStr Energy harvesting from a non-linear standing beam–mass system: Two- versus one-mode approximations
title_full_unstemmed Energy harvesting from a non-linear standing beam–mass system: Two- versus one-mode approximations
title_sort Energy harvesting from a non-linear standing beam–mass system: Two- versus one-mode approximations
author_id_str_mv 5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv 5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Michael Friswell
author2 S Amir Mousavi Lajimi
Michael Friswell
format Journal article
container_title Journal of Intelligent Material Systems and Structures
container_volume 28
container_issue 8
container_start_page 1010
publishDate 2017
institution Swansea University
issn 1045-389X
1530-8138
doi_str_mv 10.1177/1045389X16667852
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 We investigate the effect of including the second mode of natural vibration on the computed response of a forced non-linear gravity-loaded beam–mass structure used for non-linear piezoelectric energy harvesting. Using the method of assumed-modes and Lagrange’s equations, we develop the discretized equations of generalized coordinates of the system including the electro-mechanical equation. The equation of motion is further simplified to find the single-mode approximation. The phase-portraits, time-histories, Poincaré sections, and frequency–response curves of the system are computed. It is shown that the number of mode shapes affects the response, and it is required to include higher modes to improve the analytical–computational results. The system shows distinct behavior varying from a linear single-frequency response to a multi-frequency chaotic response. The average power across the load resistor consequently shows a noticeable variation depending on the characteristics of the overall system response.
published_date 2017-05-01T03:42:06Z
_version_ 1763751940385144832
score 10.997933

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