Stochastic vibration responses of the bistable electromagnetic actuator with elastic boundary controlled by the random signals
Stochastic vibration responses of the bistable electromagnetic actuator with elastic boundary controlled by the random signals
This paper comprehensively investigates the stochastic vibration responses of a bistable electromagnetic actuator with elastic boundary (EB-bistable actuator) controlled by Gaussian white noise and low-pass filtered stochastic noise. The EB-bistable actuator uses an oblique spring and another linear spring to realize the bistability and the elastic boundary, respectively. The elastic boundary can dynamically vary the bistability to enhance the vibration outputs of the EB-bistable actuator under the stochastic control signals. The paper firstly presents the governing equations and numerical integration method of the EB-bistable actuator controlled by the Gaussian white noise and low-pass filtered stochastic noise, respectively. Secondly, experiments are performed to verify the numerical predictions. Thirdly, the performance improvement of the EB-bistable actuator is validated, by comparing its stochastic responses with a bistable actuator with a fixed boundary (the FB-bistable actuator) and a linear actuator. Compared with the FB-bistable actuator for some appropriate parameters, the displacement variance of the EB-bistable actuator can be increased by 27.1% under Gaussian white noise signal and by 26.2% under low-pass filtered stochastic noise owing to the enhancement of the stochastic inter-well response, respectively. Moreover, the displacement variance of the EB-bistable actuator can be 109 times and 1138 times higher than that of the linear actuator controlled by Gaussian white noise and low-pass filtered stochastic noise, respectively. Finally, this paper uncovers the influence of the actuator structure parameters and control signal features, which presents the useful guidelines of the EB-bistable actuator for stochastic vibration application.
Bistable actuator, Elastic boundary, Gaussian white noise, Low-pass filtered stochastic noise, Stochastic analysis
113-140
Lin, Liquan
48e7d099-9204-40ba-b76f-bcd5c7980403
Yurchenko, Daniil
51a2896b-281e-4977-bb72-5f96e891fbf8
Tong, Weihao
33066c28-23bd-4b5f-bddd-54d505c09777
Yang, Kai
88cab736-3e5a-4d11-9db3-faa5943cd2e1
22 January 2022
Lin, Liquan
48e7d099-9204-40ba-b76f-bcd5c7980403
Yurchenko, Daniil
51a2896b-281e-4977-bb72-5f96e891fbf8
Tong, Weihao
33066c28-23bd-4b5f-bddd-54d505c09777
Yang, Kai
88cab736-3e5a-4d11-9db3-faa5943cd2e1
Lin, Liquan, Yurchenko, Daniil, Tong, Weihao and Yang, Kai
(2022)
Stochastic vibration responses of the bistable electromagnetic actuator with elastic boundary controlled by the random signals.
Nonlinear Dynamics, 108 (1), .
(doi:10.1007/s11071-022-07228-6).
Abstract
This paper comprehensively investigates the stochastic vibration responses of a bistable electromagnetic actuator with elastic boundary (EB-bistable actuator) controlled by Gaussian white noise and low-pass filtered stochastic noise. The EB-bistable actuator uses an oblique spring and another linear spring to realize the bistability and the elastic boundary, respectively. The elastic boundary can dynamically vary the bistability to enhance the vibration outputs of the EB-bistable actuator under the stochastic control signals. The paper firstly presents the governing equations and numerical integration method of the EB-bistable actuator controlled by the Gaussian white noise and low-pass filtered stochastic noise, respectively. Secondly, experiments are performed to verify the numerical predictions. Thirdly, the performance improvement of the EB-bistable actuator is validated, by comparing its stochastic responses with a bistable actuator with a fixed boundary (the FB-bistable actuator) and a linear actuator. Compared with the FB-bistable actuator for some appropriate parameters, the displacement variance of the EB-bistable actuator can be increased by 27.1% under Gaussian white noise signal and by 26.2% under low-pass filtered stochastic noise owing to the enhancement of the stochastic inter-well response, respectively. Moreover, the displacement variance of the EB-bistable actuator can be 109 times and 1138 times higher than that of the linear actuator controlled by Gaussian white noise and low-pass filtered stochastic noise, respectively. Finally, this paper uncovers the influence of the actuator structure parameters and control signal features, which presents the useful guidelines of the EB-bistable actuator for stochastic vibration application.
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Accepted/In Press date: 9 January 2022
Published date: 22 January 2022
Additional Information:
Funding Information:
This work was supported by National Natural Science Foundation of China (Grant No.: 11802097). It is also supported by The Young Top-notch Talent Cultivation Program of Hubei Province.
Funding Information:
This work is a foundational research Granted by the National Natural Science Foundation of China and The Young Top-notch Talent Cultivation Program of Hubei Province. The funding information has been presented in the acknowledgements. This work is not used for any commercial business, and thus, it has no conflicts of interest.
Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature B.V.
Keywords:
Bistable actuator, Elastic boundary, Gaussian white noise, Low-pass filtered stochastic noise, Stochastic analysis
Identifiers
Local EPrints ID: 468134
URI: http://eprints.soton.ac.uk/id/eprint/468134
ISSN: 0924-090X
PURE UUID: 8713c310-e524-47d2-8237-c350047844b6
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Date deposited: 03 Aug 2022 16:45
Last modified: 17 Mar 2024 04:11
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Contributors
Author:
Liquan Lin
Author:
Daniil Yurchenko
Author:
Weihao Tong
Author:
Kai Yang
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