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Research on standard three-well stochastic resonance system and its application in early bearing fault diagnosis

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Abstract

The theoretical method of stochastic resonance (SR) is helpful for the extraction of mechanical fault signals in the background of strong noise. Therefore, SR has been developed rapidly in the field of mechanical fault diagnosis. In the method of fault diagnosis based on SR, the under-damped tri-stable SR system shows its superiority in performance. However, the disadvantage of this model is that the potential function of the nonlinear system is not standardized enough, which brings inconvenience to the subsequent adjustment of system parameters. In order to solve this problem, this paper proposes a standard three-well underdamped stochastic resonance system. The steady-state probability density and output signal-to-noise ratio of the system are fully studied. Finally, a fault signal detection method based on the standard three-well underdamped stochastic resonance system is proposed, and the feasibility of this method in early fault diagnosis is proved by two different experimental platforms.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (No. 61771085), Research Project of Chongqing Educational Commission (KJ1600407, KJQN201900601). The authors also would like to thank the anonymous reviewers for their valuable comments and suggestions. They help us to improve the work comparatively and fundamentally.

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Authors and Affiliations

  1. School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China

    Lifang He, Chunlin Tan & Gang Zhang

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  1. Lifang He
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  2. Chunlin Tan
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  3. Gang Zhang
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Correspondence to Chunlin Tan.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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He, L., Tan, C. & Zhang, G. Research on standard three-well stochastic resonance system and its application in early bearing fault diagnosis. Eur. Phys. J. Plus 136, 759 (2021). https://doi.org/10.1140/epjp/s13360-021-01741-0

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