基于多变量多尺度模糊熵的行星齿轮箱故障诊断
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摘要
行星齿轮箱被广泛用于风电、直升机和工程机械等大型复杂机械装备中。当行星齿轮箱发生故障时,振动信号往往表现出非线性和非平稳特征,多尺度熵理论能够有效地衡量振动信号的非线性和复杂性变化。同时为了尽可能地利用多通道振动信号信息来提高故障诊断的效率,将评价同步多通道数据多变量复杂度的多变量多尺度熵理论引入到行星齿轮箱故障诊断。针对其统计特征稳定性差的问题,提出了多变量多尺度模糊熵,并在基础上,提出了一种新的行星齿轮箱故障诊断方法。将提出的方法应用于行星齿轮箱故障试验数据分析,并与现有方法进行对比,结果表明了所提方法的有效性和优越性。
Planetary gearbox has been widely used in wind power, helicopter, construction machinery and other large complex equipments. The vibration signals of a planetary gearbox are often nonlinear and nonstationary when the gearbox works with failure. The multiscale entropy theory has been widely used to measure the complexity of mechanical vibration signals. Meanwhile, the multivariate multiscale entropy(MMSE) that evaluates the multivariate complexity of synchronous multi-channel data is introduced to the fault diagnosis of planetary gearbox for using the multi-channel vibration information for improving the efficiency of fault diagnosis as much as possible. Aiming at the poor statistical stability of MMSE, the multivariate multiscale fuzzy entropy(MMFE) was proposed and based on this, a new fault diagnosis method for planetary gearboxes was proposed. Finally, the proposed method was applied to the experimental data analysis of a practical planetary gearbox and the results show its effectiveness and superiority.
Planetary gearbox has been widely used in wind power, helicopter, construction machinery and other large complex equipments. The vibration signals of a planetary gearbox are often nonlinear and nonstationary when the gearbox works with failure. The multiscale entropy theory has been widely used to measure the complexity of mechanical vibration signals. Meanwhile, the multivariate multiscale entropy(MMSE) that evaluates the multivariate complexity of synchronous multi-channel data is introduced to the fault diagnosis of planetary gearbox for using the multi-channel vibration information for improving the efficiency of fault diagnosis as much as possible. Aiming at the poor statistical stability of MMSE, the multivariate multiscale fuzzy entropy(MMFE) was proposed and based on this, a new fault diagnosis method for planetary gearboxes was proposed. Finally, the proposed method was applied to the experimental data analysis of a practical planetary gearbox and the results show its effectiveness and superiority.
引文
[1]李鹏,刘澄玉,李丽萍,等.多尺度多变量模糊熵分析[J].物理学报,2013,62(12):120-130.LI Peng,LIU Chengyu,LI Liping.Multiscale multivariate fuzzy entropy analysis[J].Acta Physica Sinica,2013,62(12):120-130.
[2]YAN R,GAO R X.Approximate entropy as a diagnostic tool for machine health monitoring[J].Mechanical Systems and Signal Processing,2007,21(2):824-839.
[3]LAKE D E,RICHMAN J S,GRIFFIN M P,et al.Sample entropy analysis of neonatal heart rate variability[J].American Journal of Physiology Regulatory Integrative and Comparative Physiology,2002,283(3):789-797.
[4]ZHANG L,XING G,LIU H,et al.Bearing fault diagnosis using multi-scale entropy and adaptive neuro-fuzzy inference[J].Expert Systems with Applications,2010,37(8):6077-6085.
[5]郑近德,程军圣,杨宇.基于多尺度熵的滚动轴承故障诊断方法[J].湖南大学学报(自然科学版),2012,39(5):38-41.ZHENG Jinde,CHENG Junsheng,YANG Yu.A rolling bearing fault diagnosis approach based on multiscale entropy[J].Journal of Hunan University(Natural Sciences),2012,39(5):38-41.
[6]郑近德,程军圣,胡思宇.多尺度熵在转子故障诊断中的应用[J].振动、测试与诊断,2013,33(2):294-297.ZHENG Jinde,CHENG Junsheng,HU Siyu.Multiscale entropy based rotor fault diagnosis[J].Journal of Vibration Measurement&Diagnosis,2013,33(2):294-297.
[7]郑近德,陈敏均,程军圣,等.多尺度模糊熵及其在滚动轴承故障诊断中的应用[J].振动工程学报,2014,27(1):145-151.ZHENG Jinde,CHEN Minjun,CHENG Junsheng,et al.Multiscale fuzzy entropy and its application in rolling bearing fault diagnosiss[J].Journal of Vibration Engineering,2014,27(1):145-151.
[8]AHMED M U,MANDIC D P.Multivariate multiscale entropy:A tool for complexity analysis of multichannel data[J].Physical Review E,2011,84(1):061918.
[9]AHMED M U,MANDIC D P.Multivariate multiscale entropy analysis[J].Signal Processing Letters IEEE,2012,19(2):91-94.
[10]WEI Q,LIU D H,WANG K H,et al.Multivariate multiscale entropy applied to center of pressure signals analysis:an effect of vibration stimulation of shoes[J].Entropy,2012,14(11):2157-2172.
[11]AHMED M U,REHMAN N,LOONEY D,et al.Dynamical complexity of human responses:a multivariate data-adaptive framework[J].Bulletin of the Polish Academy of Sciences Technical Sciences,2012,60(3):433-445.
[12]LI P,LIU C,WANG X,et al.Testing pattern synchronization in coupled systems through different entropybased measures[J].Medical and Biological Engineering and Computing,2013,51(5):581-591.
[13]张小龙,张氢,秦仙蓉,等.基于ITD复杂度和PSO-SVM的滚动轴承故障诊断[J].振动与冲击,2016,35(24):102-107.ZHANG Xiaolong,ZHANG Qing,QIN Xianrong,et al.Rolling bearing fault diagnosis based on ITD Lempel-Ziv complexity and PSO-SVM[J].Journal of Vibration and Shock,2016,35(24):102-107.
[14]姜战伟,郑近德,潘海洋,等.基于多尺度时不可逆与t-SNE流形学习的滚动轴承故障诊断[J].振动与冲击,2017,36(17):61-68.JIANG Zhanwei,ZHENG Jinde,PAN Haiyang,et al.Rolling bearing fault diagnosis method based on multiscale time irreversibility and t-SNE manifold learning[J].Journal of Vibration and Shock,2017,36(17):61-68.
[15]COSTA M.Multiscale entropy analysis of complex physiologic time series[J].Physical Review Letters,2002,89(6):705-708.
[16]ZHENG J,CHENG J,YANG Y,et al.A rolling bearing fault diagnosis method based on multi-scale fuzzy entropy and variable predictive model-based class discrimination[J].Mechanism and Machine Theory,2014,78(16):187-200.
[2]YAN R,GAO R X.Approximate entropy as a diagnostic tool for machine health monitoring[J].Mechanical Systems and Signal Processing,2007,21(2):824-839.
[3]LAKE D E,RICHMAN J S,GRIFFIN M P,et al.Sample entropy analysis of neonatal heart rate variability[J].American Journal of Physiology Regulatory Integrative and Comparative Physiology,2002,283(3):789-797.
[4]ZHANG L,XING G,LIU H,et al.Bearing fault diagnosis using multi-scale entropy and adaptive neuro-fuzzy inference[J].Expert Systems with Applications,2010,37(8):6077-6085.
[5]郑近德,程军圣,杨宇.基于多尺度熵的滚动轴承故障诊断方法[J].湖南大学学报(自然科学版),2012,39(5):38-41.ZHENG Jinde,CHENG Junsheng,YANG Yu.A rolling bearing fault diagnosis approach based on multiscale entropy[J].Journal of Hunan University(Natural Sciences),2012,39(5):38-41.
[6]郑近德,程军圣,胡思宇.多尺度熵在转子故障诊断中的应用[J].振动、测试与诊断,2013,33(2):294-297.ZHENG Jinde,CHENG Junsheng,HU Siyu.Multiscale entropy based rotor fault diagnosis[J].Journal of Vibration Measurement&Diagnosis,2013,33(2):294-297.
[7]郑近德,陈敏均,程军圣,等.多尺度模糊熵及其在滚动轴承故障诊断中的应用[J].振动工程学报,2014,27(1):145-151.ZHENG Jinde,CHEN Minjun,CHENG Junsheng,et al.Multiscale fuzzy entropy and its application in rolling bearing fault diagnosiss[J].Journal of Vibration Engineering,2014,27(1):145-151.
[8]AHMED M U,MANDIC D P.Multivariate multiscale entropy:A tool for complexity analysis of multichannel data[J].Physical Review E,2011,84(1):061918.
[9]AHMED M U,MANDIC D P.Multivariate multiscale entropy analysis[J].Signal Processing Letters IEEE,2012,19(2):91-94.
[10]WEI Q,LIU D H,WANG K H,et al.Multivariate multiscale entropy applied to center of pressure signals analysis:an effect of vibration stimulation of shoes[J].Entropy,2012,14(11):2157-2172.
[11]AHMED M U,REHMAN N,LOONEY D,et al.Dynamical complexity of human responses:a multivariate data-adaptive framework[J].Bulletin of the Polish Academy of Sciences Technical Sciences,2012,60(3):433-445.
[12]LI P,LIU C,WANG X,et al.Testing pattern synchronization in coupled systems through different entropybased measures[J].Medical and Biological Engineering and Computing,2013,51(5):581-591.
[13]张小龙,张氢,秦仙蓉,等.基于ITD复杂度和PSO-SVM的滚动轴承故障诊断[J].振动与冲击,2016,35(24):102-107.ZHANG Xiaolong,ZHANG Qing,QIN Xianrong,et al.Rolling bearing fault diagnosis based on ITD Lempel-Ziv complexity and PSO-SVM[J].Journal of Vibration and Shock,2016,35(24):102-107.
[14]姜战伟,郑近德,潘海洋,等.基于多尺度时不可逆与t-SNE流形学习的滚动轴承故障诊断[J].振动与冲击,2017,36(17):61-68.JIANG Zhanwei,ZHENG Jinde,PAN Haiyang,et al.Rolling bearing fault diagnosis method based on multiscale time irreversibility and t-SNE manifold learning[J].Journal of Vibration and Shock,2017,36(17):61-68.
[15]COSTA M.Multiscale entropy analysis of complex physiologic time series[J].Physical Review Letters,2002,89(6):705-708.
[16]ZHENG J,CHENG J,YANG Y,et al.A rolling bearing fault diagnosis method based on multi-scale fuzzy entropy and variable predictive model-based class discrimination[J].Mechanism and Machine Theory,2014,78(16):187-200.
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