Stochastic and deterministic responses of an asymmetric quad-stable energy harvester
Stochastic and deterministic responses of an asymmetric quad-stable energy harvester
In this paper, stochastic and deterministic dynamical properties of an asymmetric quad-stable energy harvester are explored for improving the energy harvesting performance. Firstly, the harmonic balance method is utilized to explicitly derive the coupled relationship of the displacement amplitude, the constant term, and the output voltage amplitude. By means of direct numerical results, the existence of the multi-valued phenomenon of the asymmetric quad-stable energy harvester is found. Especially, the constant term is asymmetric due to the asymmetric characteristics. In addition, the influence of the depth of different potential wells on the highest orbit of inter-well oscillations is discussed. Finally, it is found that the symbol change of the largest Lyapunov exponent (LLE) of the harvester is consistent with the results derived by bifurcation diagrams, which verify the effectiveness of the LLE. The existence of noise can induce the harvester to transform from period motions to chaotic motions. The transition of the probability density function (PDF) of the harvester is influenced by the potential distribution and depth.
Harmonic balance method, Nonlinearity, Quad-stable energy harvester, Stochastic noise
Huang, Dongmei
72b7517d-2f74-404b-a9cd-8c030479167c
Han, Jiale
b4872b9a-212e-4ba4-ab23-c7375690fb34
Zhou, Shengxi
c9ad9a91-4e40-47bb-909c-dcc41dfa4d20
Han, Qun
10ff2274-15c5-47d9-942c-a8a3151c0441
Yang, Guidong
fbfa6726-2e1d-45bd-8f6d-6292dc346aa3
Yurchenko, Daniil
51a2896b-281e-4977-bb72-5f96e891fbf8
Huang, Dongmei
72b7517d-2f74-404b-a9cd-8c030479167c
Han, Jiale
b4872b9a-212e-4ba4-ab23-c7375690fb34
Zhou, Shengxi
c9ad9a91-4e40-47bb-909c-dcc41dfa4d20
Han, Qun
10ff2274-15c5-47d9-942c-a8a3151c0441
Yang, Guidong
fbfa6726-2e1d-45bd-8f6d-6292dc346aa3
Yurchenko, Daniil
51a2896b-281e-4977-bb72-5f96e891fbf8
Huang, Dongmei, Han, Jiale, Zhou, Shengxi, Han, Qun, Yang, Guidong and Yurchenko, Daniil
(2021)
Stochastic and deterministic responses of an asymmetric quad-stable energy harvester.
Mechanical Systems and Signal Processing, 168, [108672].
(doi:10.1016/j.ymssp.2021.108672).
Abstract
In this paper, stochastic and deterministic dynamical properties of an asymmetric quad-stable energy harvester are explored for improving the energy harvesting performance. Firstly, the harmonic balance method is utilized to explicitly derive the coupled relationship of the displacement amplitude, the constant term, and the output voltage amplitude. By means of direct numerical results, the existence of the multi-valued phenomenon of the asymmetric quad-stable energy harvester is found. Especially, the constant term is asymmetric due to the asymmetric characteristics. In addition, the influence of the depth of different potential wells on the highest orbit of inter-well oscillations is discussed. Finally, it is found that the symbol change of the largest Lyapunov exponent (LLE) of the harvester is consistent with the results derived by bifurcation diagrams, which verify the effectiveness of the LLE. The existence of noise can induce the harvester to transform from period motions to chaotic motions. The transition of the probability density function (PDF) of the harvester is influenced by the potential distribution and depth.
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Accepted/In Press date: 23 November 2021
e-pub ahead of print date: 30 December 2021
Additional Information:
Funding Information:
This work was supported by the National Natural Science Foundation of China (Grant nos. 12172266 , 12111530105 , 12072267 ), Young Talent Fund of University Association for Science and Technology in Shaanxi, China (Grant no. 20200503), Bilateral governmental personnel exchange project between China and Slovenia for the years 2021-2023 (Grant no. 12), the Science, Technology and Innovation Commission of Shenzhen Municipality (Grant no. JCYJ20190806153615091), the International Science and Technology Cooperation Project of Guangdong Province (Grant no. 2021A0505030012), the Fundamental Research Funds for the Central Universities (Grant no. JB210703).
Publisher Copyright:
© 2021 Elsevier Ltd
Keywords:
Harmonic balance method, Nonlinearity, Quad-stable energy harvester, Stochastic noise
Identifiers
Local EPrints ID: 468132
URI: http://eprints.soton.ac.uk/id/eprint/468132
ISSN: 0888-3270
PURE UUID: cb59ff38-75cf-4403-9bb1-7744c295a3d9
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Date deposited: 03 Aug 2022 16:38
Last modified: 17 Mar 2024 04:11
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Contributors
Author:
Dongmei Huang
Author:
Jiale Han
Author:
Shengxi Zhou
Author:
Qun Han
Author:
Guidong Yang
Author:
Daniil Yurchenko
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