https://doi.org/10.1140/epjp/s13360-023-04806-4
Regular Article
Principle and application of variable-scale tristable stochastic resonance for fractional power systems
1
Department of Mechanics, Tianjin University, 300354, Tianjin, China
2
Tianjin Key Laboratory of Nonlinear Dynamics and Control, 300354, Tianjin, China
3
National Demonstration Center for Experimental Mechanics Education (Tianjin University), 300354, Tianjin, China
4
College of Mechanical and Equipment Engineering, Hebei University of Engineering, 056038, Handan, China
5
Key Laboratory of Intelligent Industrial Equipment Technology of Hebei Province, Hebei University of Engineering), 056038, Handan, China
Received:
28
October
2023
Accepted:
18
December
2023
Published online:
11
January
2024
To address the limitations of the traditional stochastic resonance in signal-parameter matching, we propose an enhanced tristable potential function model based on the classical tristable system. At the core of this new model lies the system power denoted as α, which can assume both integer and non-integer values. By adjusting the system power α, one can achieve a more precise optimal resonance output. As noise intensity varies, α can be tuned to generate various potential function models with different good depths and shapes. The evaluation index for determining the optimal value of α is the cross-correlation coefficient. Additionally, a scale transformation method is introduced to enhance the capability of stochastic resonance in handling high-frequency signals. We employ the cockroach optimization algorithm, to optimize the system parameters and scale coefficients within the stochastic resonance, resulting in an adaptive stochastic resonance. Following numerous experimental validations, the fractional power stochastic resonance system exhibited superior efficacy in diagnosing bearing faults. Specifically, this system effectively extracts fault signals from rolling bearings in noisy environments, demonstrating its effectiveness in rolling bearing fault diagnosis.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
