Multistable matching stochastic resonance with its application to mechanical incipient fault characteristic extraction

QIAO Zijian1,2,3,4, CHEN Shuai1, MA Li5, LAI Zhihui6, LIU Jian7,XU Xuefang8, MEI Yidan9

Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (11) : 87-95.

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (11) : 87-95.

Multistable matching stochastic resonance with its application to mechanical incipient fault characteristic extraction

  • QIAO Zijian1,2,3,4, CHEN Shuai1, MA Li5, LAI Zhihui6, LIU Jian7,XU Xuefang8, MEI Yidan9
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Abstract

It is difficult for traditional monostable and bistable stochastic resonance (SR) methods to match with complicated and variable input signals due to the single stable structure of the potential function. Moreover, the scaling factor is generally fixed as a constant, thereby neglecting the synergistic effect among the potential structure, input signal and scaling factor. In addition, since traditional SR methods are based on first-order model, they easily suffer from the noise interference in the low frequency, thereby strongly depending on the help of highpass filter. Therefore, an adaptive second-order multistable matching SR method is proposed to extract weak characteristics in mechanical incipient faults. The method has three advantages: (1) the diversity of multistable potential structure is able to achieve the adaptive matching with different input signals, (2) the optimal synergistic effect among input signal, potential structure and scaling factor is obtained and (3) second-order multistable SR is able to suppress the noise interference in the low frequency. Finally, the proposed method is validated using simulated and experimental data. The results show that the proposed method is able to not only extract weak characteristics from the original vibration signals, but also possess stronger enhancment performance than the traditional methods.

Key words

multistable stochastic resonance / weak characteristic extraction / mechanical incipient fault diagnosis

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QIAO Zijian1,2,3,4, CHEN Shuai1, MA Li5, LAI Zhihui6, LIU Jian7,XU Xuefang8, MEI Yidan9. Multistable matching stochastic resonance with its application to mechanical incipient fault characteristic extraction[J]. Journal of Vibration and Shock, 2023, 42(11): 87-95

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