二维四稳势系统随机共振机理研究与应用  

Research and application of stochastic resonance mechanism of two-dimensional tetra-stable potential system

作　　者：张刚[1] 徐浩[1] 张天骐[1] Zhang Gang;Xu Hao;Zhang Tianqi(School of Communication and Information Engineerings Chongqing University of Posts and Telecommunications,Chongqing 400065,China)

机构地区：[1]重庆邮电大学通信与信息工程学院,重庆400065

出　　处：《仪器仪表学报》2020年第4期229-238,共10页Chinese Journal of Scientific Instrument

基　　金：国家自然科学基金(61771085);重庆市教委科研项目(KJQN201900601)资助。

摘　　要：针对二维势场中的随机共振(SR)的研究较少的问题,探讨在高斯白噪声和外部微弱驱动力共同作用下的二维四稳态势系统(TTPS)的SR机理与应用。根据线性响应理论,使用概率流方法计算TTPS对外部周期驱动频率的功率谱增益因子(SAF)。理论分析结论表明,以SAF为指标时,TTPS将发生显著的SR现象,通过提高耦合系数和非对称系数或降低驱动频率能够进一步地提高SAF。而后结合Chambers-Malllowa-Stuck算法与四阶龙格库塔法,利用遗传算法的寻优参数将TTPS应用于微弱周期信号检测和轴承故障诊断中,并与新型一维三维势系统(NOTPS)进行对比。实验结果证明了理论分析结论的正确性,表明TTPS能够有效地检测微弱周期信号和诊断轴承内外圈的故障。两种轴承内圈故障频率处的幅值能被TTPS分别提高至419.5和297.1,而NOTPS只能将之分别提高至250.6和103.4;两种轴承外圈故障频率处的幅值能被TTPS分别提高至408.7和342.9,而NOTPS只能将之分别提高至269.3和186.6,证明TTPS的性能优于NOTPS。Aiming at the problem of less research on stochastic resonance(SR)in two-dimensional potential field,the SR mechanism and application of two-dimensional tetra-stable potential system(TTPS)under the combined action of Gaussian white noise and external weak driving force are discussed.According to the linear response theory,the probability flow method is used to calculate the spectral amplification factor(SAF)of the TTPS to external periodic driving frequency.The theoretical analysis result shows that when the SAF is used as an indicator,a significant SR phenomenon will occur in the TTPS.The SAF can be further improved by increasing the coupling coefficient and asymmetry coefficient or lowering the driving frequency.Then,combining the Chambers Malllowa-Stuck algorithm and fourth-order Runge-Kutta method,using the optimization parameters of genetic algorithm(GA),the TTPS is applied to weak periodic signal detection and bearing fault diagnosis,and compared with the new one-dimensional tri-stable potential system(NOTPS).The experiment results prove the correctness of the theoretical analysis conclusion,and indicate that the TTPS can effectively detect the weak periodic signal and diagnose the faults of the inner and outer rings of the bearings.The amplitudes at the fault frequencies of the two bearing inner rings can be increased to 419.5 and 297.1 with TTPS,respectively,while those can only be increased to 250.6 and 103.4 with NOTPS,respectively.The amplitudes at the fault frequencies of the two bearing outer rings can be increased to 408.7 and 342.9 with TTPS,respectively,while those can only be increased to 269.3 and 186.6 with NOTPS,respectively,which proves that the performance of the TTPS is better than that of NOTPS.

关 键 词：随机共振 二维四稳势系统 功率谱增益因子 微弱信号检测 轴承故障诊断 

分 类 号：TH133.33[机械工程—机械制造及自动化]