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Improving the performance of a two-sided vibro-impact energy harvester with asymmetric restitution coefficients

Improving the performance of a two-sided vibro-impact energy harvester with asymmetric restitution coefficients
Improving the performance of a two-sided vibro-impact energy harvester with asymmetric restitution coefficients

We study the influence of asymmetric restitution coefficients in a model of a two-sided vibro-impact energy harvester (VI-EH), considering the dynamical behavior and the implications for energy output. In the VI-EH, a ball moves freely within a forced cylinder and collides with a compliant dielectric polymer on either end, thus converting the motion into output voltage. We develop (semi-)analytical results for 1:1 periodic solutions, with alternating impacts on either end, focusing on the case of asymmetric restitution coefficients on the top and bottom of the cylinder. New types of 1:1 periodic solutions are found, with energy output clearly different from the symmetric setting. The analysis covers non-intuitive results, including the non-monotonic dependencies of the energy output on the asymmetric restitution coefficients. We find unexpected parameter ranges with improved levels of energy output, as well as stability results indicating that this output is robust to parameter fluctuations or external perturbations. Furthermore, by identifying parameter combinations that limit performance through asymmetries, we show how asymmetric restitution coefficients can counteract these detrimental effects. The analysis is based on maps for the dynamics between impacts, leading to a series of conditions for stable 1:1 periodic solutions in terms of the system parameters. We compare stability and bifurcation structure obtained analytically and numerically. The analysis shows possible regions of bi-stability between different behaviors that may not be captured by numerical approaches.

Energy harvesting, Grazing bifurcation, Non-smooth dynamics, Output voltage, Periodic solutions, Vibro-impact system
0020-7403
Dulin, Sam
d60b26c4-060a-4880-8b06-040c163ddc1b
Lin, Kailee
1bf7c18f-70a7-45f9-9753-274ac8c4c847
Serdukova, Larissa
a7d03a66-73fe-4265-9ce7-8ffdf334bc40
Kuske, Rachel
bc23aa89-d93d-4210-921c-20cf31931417
Yurchenko, Daniil
51a2896b-281e-4977-bb72-5f96e891fbf8
Dulin, Sam
d60b26c4-060a-4880-8b06-040c163ddc1b
Lin, Kailee
1bf7c18f-70a7-45f9-9753-274ac8c4c847
Serdukova, Larissa
a7d03a66-73fe-4265-9ce7-8ffdf334bc40
Kuske, Rachel
bc23aa89-d93d-4210-921c-20cf31931417
Yurchenko, Daniil
51a2896b-281e-4977-bb72-5f96e891fbf8

Dulin, Sam, Lin, Kailee, Serdukova, Larissa, Kuske, Rachel and Yurchenko, Daniil (2022) Improving the performance of a two-sided vibro-impact energy harvester with asymmetric restitution coefficients. International Journal of Mechanical Sciences, 217, [106983]. (doi:10.1016/j.ijmecsci.2021.106983).

Record type: Article

Abstract

We study the influence of asymmetric restitution coefficients in a model of a two-sided vibro-impact energy harvester (VI-EH), considering the dynamical behavior and the implications for energy output. In the VI-EH, a ball moves freely within a forced cylinder and collides with a compliant dielectric polymer on either end, thus converting the motion into output voltage. We develop (semi-)analytical results for 1:1 periodic solutions, with alternating impacts on either end, focusing on the case of asymmetric restitution coefficients on the top and bottom of the cylinder. New types of 1:1 periodic solutions are found, with energy output clearly different from the symmetric setting. The analysis covers non-intuitive results, including the non-monotonic dependencies of the energy output on the asymmetric restitution coefficients. We find unexpected parameter ranges with improved levels of energy output, as well as stability results indicating that this output is robust to parameter fluctuations or external perturbations. Furthermore, by identifying parameter combinations that limit performance through asymmetries, we show how asymmetric restitution coefficients can counteract these detrimental effects. The analysis is based on maps for the dynamics between impacts, leading to a series of conditions for stable 1:1 periodic solutions in terms of the system parameters. We compare stability and bifurcation structure obtained analytically and numerically. The analysis shows possible regions of bi-stability between different behaviors that may not be captured by numerical approaches.

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Accepted/In Press date: 2 December 2021
e-pub ahead of print date: 28 December 2021
Published date: 10 January 2022
Additional Information: Funding Information: The authors gratefully acknowledge partial funding for this work from NSF-CMMI 2009270 and EPSRC EP/V034391/1 . Publisher Copyright: © 2021 The Author(s)
Keywords: Energy harvesting, Grazing bifurcation, Non-smooth dynamics, Output voltage, Periodic solutions, Vibro-impact system

Identifiers

Local EPrints ID: 468190
URI: http://eprints.soton.ac.uk/id/eprint/468190
ISSN: 0020-7403
PURE UUID: c3ce3d6d-77d9-43ac-9b5e-04a9ed92fdd8
ORCID for Daniil Yurchenko: ORCID iD orcid.org/0000-0002-4989-3634

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Date deposited: 04 Aug 2022 16:52
Last modified: 05 Aug 2022 02:05

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Contributors

Author: Sam Dulin
Author: Kailee Lin
Author: Larissa Serdukova
Author: Rachel Kuske
Author: Daniil Yurchenko ORCID iD

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