基于外加信号和高斯函数的二维非对称随机共振模型研究

Research on two-dimensional asymmetric stochastic resonance model based on external signal and Gaussian function

  • 摘要: 为了提高二维随机共振的信号增强能力,提出一种基于外加信号和高斯函数的二维非对称随机共振系统(novel two-dimensional asymmetric bistable potential system based on external signal and Gaussian function,NTABPS-EG). 首先,以输出信噪比为衡量指标,研究了3种非对称势的系统性能,根据分析结果选取阱深阱宽非对称势进行后续研究,并探究了不同参数下系统输出信噪比随噪声强度的变化趋势. 其次,采用四阶龙格库塔算法进行数值模拟,并采用遗传算法求解最佳参数,使系统得到最佳输出响应. 通过与二维指数势双稳系统(two-dimensional exponential potential bi-stable potential system,TEPBPS)的对比,发现NTABPS-EG系统更能有效地驱动粒子跃迁,对微弱信号的恢复效果较好. 最后,将NTABPS-EG系统应用于轴承故障检测,实验结果表明系统可以有效诊断出轴承的内外圈故障,且诊断能力优于TEPBPS,证明了系统的实用性和先进性.

     

    Abstract: In order to improve the signal enhancement ability of two-dimensional stochastic resonance, a two-dimensional asymmetric stochastic resonance system based on external signal and Gaussian function (NTABPS-EG) is proposed. Firstly, the system performance of the three asymmetric potentials is studied by taking the output signal-to-noise ratio as the measurement index, and the asymmetric potential of the well depth and well width is selected for follow-up research according to the analysis results, and the variation trend of the output signal-to-noise ratio with the noise intensity under different parameters is explored. Secondly, the fourth-order Runge-Kutta algorithm is used for numerical simulation, and the genetic algorithm is used to solve the optimal parameters, so that the system can obtain the best output response. By comparing with the two-dimensional exponential potential bistable potential system (TEPBPS), it is found that the NTABPS-EG system can drive the particle transition more effectively, and the recovery effect of weak signals is better. Finally, the NTABPS-EG system is applied to the bearing fault detection, and the results show that the system can effectively diagnose the inner and outer ring faults of the bearing, and the diagnostic ability is better than that of TEPBPS, which proves the practicability and advancement of the system.

     

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