Stochastic resonance characteristic analysis ofthe new potential function under Levy noise and bearing fault detection

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (12) : 53-62.

HE Lifang 12 ZHOU Xicheng 1 2 ZHANG Gang1 2 ZHANG Tianqi1 2

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Abstract

Based on the output saturation of classical bistable stochastic resonance, a new type of piecewise nonlinear bistable potential stochastic resonance (PNBSR) system was constructed.Firstly, the PNBSR system was compared with the CBSR systems in theory.Then, the mean signal-to-noise ratio gain was treated as an index to measure the stochastic resonance phenomenon.The quantum particle swarm algorithm was used to seek optimal parameters.The laws for the resonant output of piecewise nonlinear bistable system governed by l , c, a, b, and D of Levy noise were explored under different characteristic index α and symmetry parameter β of Levy noise.The results show that the output of the PNBSR system has increased 4dB compared with the output signal-to-noise ratio of a classical bistable stochastic resonance(CBSR) system.And the stochastic resonance phenomenon can be induced by adjusting the piecewise nonlinear system's parameters under any α or β of Levy noise and D of Levy noise, and the best interval does not change with α or β.At last, the piecewise nonlinear bistable stochastic resonance system was applied to detect bearing fault signals, which achieves better performance compared with the classical bistable stochastic resonance system. 

Key words

Piecewise nonlinear bistable system / Levy noise / Mean signal-to-noise ratio gain / Stochastic resonance / Bearing fault detection

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HE Lifang 12 ZHOU Xicheng 1 2 ZHANG Gang1 2 ZHANG Tianqi1 2. Stochastic resonance characteristic analysis ofthe new potential function under Levy noise and bearing fault detection[J]. Journal of Vibration and Shock, 2019, 38(12): 53-62

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