The analysis of stochastic resonance and bearing fault detection based on linear coupled bistable system under lévy noise

• Published in: Chinese journal of physics (Taipei) 2018-12, Vol.56 (6), p.2718-2730
• Main Authors: Zhang, Gang, Hu, Dayun, Zhang, Tianqi
• Format: Article
• Language: English
• Subjects: Bearing fault detection; Linear coupled bistable system; Lévy noise; Mean of signal-noise ratio increase
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2018.10.010

•The MSNRI of proposed system is higher than single bistable system.•The performance of proposed system is better than single bistable system.•Bearing fault signals could be detected under the proposed system.•The detection results of proposed system are better than single bistable system. In this paper, the stochastic resonance (SR) phenomenon of the linear coupled bistable system induced by Lévy noise is analyzed. Meanwhile, the characteristics of Lévy noise is also analyzed according to its probability density functions (PDFs) of different stability index α, symmetry parameter β, scale parameter σ and location index μ. The mean of signal-noise ratio increase (MSNRI) is regarded as an index to measure the SR phenomenon. Then, the rules for MSNRI affected by noise intensity D are explored under different charastic indexes of Lévy noise, system parameters a, b, c and coupling coefficient r. The results are beneficial to the numerical simulation of single-frequency and multi-frequency weak signals detection based on single bistable system and linear coupled system respectively. It is found that the performance of the proposed system is better than single bistable system and results of bearing fault detection could also verify the conclusion.