二次方分段双稳系统的随机共振特性及其应用

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Abstract A quadratic segmented bistable potential function was proposed here, the analytic relations between the Kramers escape rate and the output signal-to-noise ratio along with the potential function of parameters was established. And from the perspective of dynamics, the influence of the Brownian particles under different nonlinear potential function of the potential field force to enhance the effect of stochastic resonance was analyzed. The results of numerical simulation and theoretical analysis results were consistent .The analysis of the rolling element bearing fault data shows that the potential function of stochastic resonance effectively realizes the weak signal detection and early fault diagnosis.

Key words： stochastic resonance quadratic segmented bistable potential function noise facilitation bearing fault weak signal detection .

Received: 17 June 2014 Published: 15 October 2015

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2015/V34/I19/213

[1]Benzi R, Sutera A, Vulpinai A. The mechanism of stochastic resonance [J]. Journal of Physics A: Mathematical and General, 1981, 14(11): 453-457.
[2] GammaitoniL, HänggiP, Jung P, et al. Stochastic Resonance,Reviews of Modern Physics, 1998, 70(1): 223-285.
[3] Hu Gang, C. Nicolis, C. Nicolis. Periodically forced Fokker-Planck Equation and Stochastic Resonance [J].Phys. Rev. A. 1990, 42(4): 2030-2041.
[4]R.Benzi, G.Parisi, A.Stuera, A.Vulpiani.A theory of stochastic resonance in climaticchange [J]. SIAM Journal on applied mathematics, 1983, 43(3): 565-578.
[5] McDonnell Mark D , Ward Lawrence M. The benefits of noise in neural systems: bridging theory and experiment[J].Nature Reviews Neuroscience , 2011,12(6):415-425.
[6] 郝研, 王太勇, 万剑等. 基于级联双稳随机共振和多重分形的机械故障诊断方法研究[J]. 振动与冲击, 2012, 31(8): 181-185
HAO Yan, Wang Tai-Yong, WAN Jian, et al. Mechanical fault diagnosis based on cascaded biatable stochastic resonance and multi-fractal [J]. Journal of vibration and shock, 2012, 31(8)：181-185.
[7] 祝恒江, 李蓉, 温孝东. 利用随机共振在强噪声下提取信息信号. 物理学报, 2003, 52: 2404-2408.
ZhuHeng-Jiang, LI Rong, Wen Xiao-dong. Extracting information signal under noise by stochastic resonance[J]. Journal of Physics, 2003, 52: 2404-2408.
[8] 林敏, 黄咏梅. 调制与解调用于随机共振的微弱周期信号检测[J]. 物理学报, 2006, 55: 3277 3282.
LIN Min, Huang Yong-Mei. Modulation and demodulation for detecting weak periodic signal of stochastic resonance[J]. Journal of Physics, 2006, 55: 3277 3282.
[9] 王泽林, 赵文礼, 陈璇. 基于随机共振原理的分段线性模型的理论分析与实验研究[J].物理学报, 2012,61(16):1-7.
Wang Lin-Ze, Zhao Wen-Li, Chen Xuan. Theory and experiment research on aPiecewise-linear model based on stochastic resonance[J], Journal of Physics, 2012,61(16):1-7.
[10] Fox R F. Stochastic resonance in a double well[J]. Physical Review A, 1989, 39(8):4148-4153.
[11] Repperger D W, Farris K A. Stochastic resonance-a nonlinear control theory interpretation [J]. International Journal of Systems Science, 2010, 41(7):897-907.
[12] 张莹, 王太勇,冷永刚等. 双稳随机共振的信号恢复研究[J].力学学报, 2008, 40(4): 528-534.
ZHANG Yin, Wang Tai-Yong, LENG Yong-gang, et al. Study on signal recovery in bistable stochastic resonace[J]. Chinese Journal of Theoretical and applied Mechanics, 2008, 40(4): 528-534.
[13] Rana S, Lahiri S, Jayannavar A M. The role of soft versus hard bistable systems on stochastic resonance using average cycle energy as a quantifier. The European Physical Journal B, 2011, 84:323-329.
[14] WenliZhao,Juan Wang and LinzeWang.The unsaturated bistable stochastic resonance system,Chaos23, 033117 (2013).
[15] 朱维娜,林敏. 基于人工鱼群算法的轴承故障随机共振自适应检测方法[J].振动与冲击,2014, 33(6): 143-147.
Zhu Wei-Na, LIN Min.Bearing fault detection method with adaptivestochastic resonancebased on artificial fish swarm algorithm [J]. Journal of vibration and shock, 2014, 33(6):143-147.
[16] 冷永刚, 王太勇. 二次采样用于随机共振从强噪声中提取弱信号的数值研究[J]. 物理学报, 2003, 52(10): 2432-2437.
LengYong-Gang,WangTai-Yong.Numericalresearchoftwicesamplingstochasticresonanceforthedetectionofaweaksignalsubmergedinaheavynoise[J].Journal of Physics, 2003, 52(10): 2432-2437.