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Multi-dimensional hybrid potential stochastic resonance and application of bearing fault diagnosis

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  • Zhang, Gang
  • Chen, Yezi
  • Xu, Lianbing

Abstract

Stochastic resonance is a method to enhance weak signal by using noise, which has a wide range of applications in weak signal detection. In order to further investigate the application of multi-dimensional coupling stochastic resonance in practical engineering, a Multi-dimensional Double connection coupling Hybrid Potential Stochastic Resonance (MDHPSR) system is proposed in this paper. Firstly, the potential functions of bi-stable and tri-stable are briefly described, and the tri-stable system having a higher output amplitude. Secondly, the effect of different coupling methods on the output of the central and adjacent coupling ends are studied, and the output amplitude of double connection coupling is higher. Then, the double connection coupling of different potential functions is studied, and MDHPSR system effect is the best. Compared with Multi-dimensional Double connection Classical Bi-stable Stochastic Resonance (MDCBSR) system, MDHPSR system has better anti-noise performance. Finally, applying the two multi-dimensional coupling systems to bearing fault diagnosis, MDHPSR system output amplitude is higher and the Signal-to-Noise Ratio (SNR) is improved by more than 3 dB. This demonstrates the superior performance of MDHPSR system for weak signal detection and the value of the multi-dimensional coupling system for practical engineering applications.

Suggested Citation

  • Zhang, Gang & Chen, Yezi & Xu, Lianbing, 2024. "Multi-dimensional hybrid potential stochastic resonance and application of bearing fault diagnosis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 634(C).
    • Handle: RePEc:eee:phsmap:v:634:y:2024:i:c:s0378437123009937
    DOI: 10.1016/j.physa.2023.129438
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    References listed on IDEAS

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    1. Zhou, Zuanbo & Yu, Wenxin & Wang, Junnian & Liu, Meiting, 2022. "A high dimensional stochastic resonance system and its application in signal processing," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    2. Xu, Pengfei & Jin, Yanfei, 2018. "Stochastic resonance in multi-stable coupled systems driven by two driving signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1281-1289.
    3. Xu, Pengfei & Jin, Yanfei & Zhang, Yanxia, 2019. "Stochastic resonance in an underdamped triple-well potential system," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 352-362.
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