Nonlinear dynamics of a new energy harvesting system with quasi-zero stiffness
Nonlinear dynamics of a new energy harvesting system with quasi-zero stiffness
This paper presents the results of modelling a new nonlinear multi-stable QZEH (quasi-zero energy harvester) system for harvesting energy from vibrating mechanical devices. Detailed tests were carried out on the system model, which consisted of a beam and a system of springs, which were used to determine the potential of a quasi-flat well. Two-dimensional distributions of the Lyapunov exponent were output from the numerical model, using the assumed range of variability within the control parameters, and plotted as a map in multi-color. These maps are related to diagrams of the RMS values of the voltage that is induced on the piezoelectric electrodes. To identify the optimal conditions for harvesting energy from mechanical vibrations, a multi-colored map of the RMS voltage values was produced. Its reference to the Lyapunov distribution map, showed that in the chaotic motion zones, energy harvesting is reduced. Based on the established sections of the Lyapunov exponent, diagrams of solutions (DS) showing the number of coexisting solutions and their periodicity were drawn. Multiple solutions and basins of attraction have been identified. On their basis it was possible to estimate the probability of obtaining a solution with the greatest energy harvesting efficiency. Moreover, a method of acting on the solution trajectory, by means of an impulse initiated at a specific moment in time, has been proposed. The results of the model tests were visualized as multi-colored maps of impulse excitations. The direct reference of the results of QZEH model tests to the tristable energy harvesting (TEH) system clearly indicates the advisability of using the QZEH system in terms of higher excitation amplitudes. The QZEH system also shows an improved ability to harvest energy in the low range of values of excitation frequencies.
Basins of attraction, Diagram of RMS voltage values, Diagram of impulse excitation, Diagram of solutions, Lyapunov exponent, Nonlinear vibrations
Margielewicz, Jerzy
a71daea3-a922-4129-949c-9d34c5e7a3e2
Gaska, Damian
1fadc103-4b7e-4338-9543-f87c7ce5c54e
Litak, Grzegorz
03a00531-56de-4e58-9aa7-d8018491262c
Wolszczak, Piotr
9c21cc92-361e-45cf-85f8-c2310f36116d
Yurchenko, Daniil
51a2896b-281e-4977-bb72-5f96e891fbf8
1 February 2022
Margielewicz, Jerzy
a71daea3-a922-4129-949c-9d34c5e7a3e2
Gaska, Damian
1fadc103-4b7e-4338-9543-f87c7ce5c54e
Litak, Grzegorz
03a00531-56de-4e58-9aa7-d8018491262c
Wolszczak, Piotr
9c21cc92-361e-45cf-85f8-c2310f36116d
Yurchenko, Daniil
51a2896b-281e-4977-bb72-5f96e891fbf8
Margielewicz, Jerzy, Gaska, Damian, Litak, Grzegorz, Wolszczak, Piotr and Yurchenko, Daniil
(2022)
Nonlinear dynamics of a new energy harvesting system with quasi-zero stiffness.
Applied Energy, 307, [118159].
(doi:10.1016/j.apenergy.2021.118159).
Abstract
This paper presents the results of modelling a new nonlinear multi-stable QZEH (quasi-zero energy harvester) system for harvesting energy from vibrating mechanical devices. Detailed tests were carried out on the system model, which consisted of a beam and a system of springs, which were used to determine the potential of a quasi-flat well. Two-dimensional distributions of the Lyapunov exponent were output from the numerical model, using the assumed range of variability within the control parameters, and plotted as a map in multi-color. These maps are related to diagrams of the RMS values of the voltage that is induced on the piezoelectric electrodes. To identify the optimal conditions for harvesting energy from mechanical vibrations, a multi-colored map of the RMS voltage values was produced. Its reference to the Lyapunov distribution map, showed that in the chaotic motion zones, energy harvesting is reduced. Based on the established sections of the Lyapunov exponent, diagrams of solutions (DS) showing the number of coexisting solutions and their periodicity were drawn. Multiple solutions and basins of attraction have been identified. On their basis it was possible to estimate the probability of obtaining a solution with the greatest energy harvesting efficiency. Moreover, a method of acting on the solution trajectory, by means of an impulse initiated at a specific moment in time, has been proposed. The results of the model tests were visualized as multi-colored maps of impulse excitations. The direct reference of the results of QZEH model tests to the tristable energy harvesting (TEH) system clearly indicates the advisability of using the QZEH system in terms of higher excitation amplitudes. The QZEH system also shows an improved ability to harvest energy in the low range of values of excitation frequencies.
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More information
Accepted/In Press date: 30 October 2021
e-pub ahead of print date: 12 November 2021
Published date: 1 February 2022
Additional Information:
Funding Information:
This work was supported by the program of the Ministry of Science and Higher Education in Poland under the project DIALOG 0019/DLG/2019/10 in the years 2019-2021.
Publisher Copyright:
© 2021 The Author(s)
Keywords:
Basins of attraction, Diagram of RMS voltage values, Diagram of impulse excitation, Diagram of solutions, Lyapunov exponent, Nonlinear vibrations
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Local EPrints ID: 468145
URI: http://eprints.soton.ac.uk/id/eprint/468145
ISSN: 0306-2619
PURE UUID: a5b83a71-567d-4a86-87d5-12b10e6add3c
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Date deposited: 03 Aug 2022 17:30
Last modified: 06 Jun 2024 02:12
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Contributors
Author:
Jerzy Margielewicz
Author:
Damian Gaska
Author:
Grzegorz Litak
Author:
Piotr Wolszczak
Author:
Daniil Yurchenko
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