计算机科学 ›› 2019, Vol. 46 ›› Issue (11): 323-327.doi: 10.11896/jsjkx.180901719

• 交叉与前沿 • 上一篇    下一篇

基于变分贝叶斯的轴承故障诊断方法

王岩, 罗倩, 邓辉   

  1. (北京信息科技大学信息与通信工程学院 北京100101)
  • 收稿日期:2018-09-13 出版日期:2019-11-15 发布日期:2019-11-14
  • 通讯作者: 罗倩(1965-),女,博士,副教授,主要研究方向为信号处理、大数据处理,E-mail:luoqian@bistu.edu.cn
  • 作者简介:王岩(1993-),男,硕士生,主要研究方向为信号处理、大数据处理,E-mail:wyleo7@qq.com;邓辉(1994-),男,硕士生,主要研究方向为信号处理、大数据处理。
  • 基金资助:
    本文受促进高校内涵发展-信息与通信工程一级学科(5121911025),北京市教委科研计划项目(201811232009)资助。

Bearing Fault Diagnosis Method Based on Variational Bayes

WANG Yan, LUO Qian, DENG Hui   

  1. (College of Information and Communication Engineering,Beijing Information Science and Technology University,Beijing 100101,China)
  • Received:2018-09-13 Online:2019-11-15 Published:2019-11-14

摘要: 滚动轴承是旋转机械结构中常用的零件,如果发生故障,会造成极大的危害。随着大数据时代的到来,现代智能诊断方法已被广泛应用到轴承故障诊断中。针对目前智能诊断方法存在的问题,将统计模型引入轴承故障诊断中,提出了基于变分贝叶斯的轴承故障诊断方法。该方法对轴承振动信号进行局部特征尺度分解,得到若干个内禀尺度分量,并分别提取时域特征组成特征集,使用特征集训练产生基于变分贝叶斯的混合多维高斯分布模型,通过计算不同轴承故障的概率实现故障诊断。实验结果表明,所提方法的诊断正确率达到99.6%,与基于支持向量机的轴承诊断方法相比,在所组成的特征集上诊断正确率最高提升了39.6%。文中提出的方法能够全面且有效地诊断滚动轴承故障,对高维复杂的故障数据也有很好的诊断效果。

关键词: 变分贝叶斯, 高斯混合模型, 局部特征尺度分解, 轴承故障诊断

Abstract: Rolling bearings are common parts in rotating mechanical structures and can cause significant damage if they fail.With the advent of the era of big data,modern intelligent diagnostic methods are widely used in bearing fault diagnosis.Aiming at the problems existing in the intelligent diagnosis method,this paper introduced the statistical model into the bearing fault diagnosis,and proposed a fault diagnosis method based on the variational Bayesian.The method performs local feature scale decomposition on the bearing vibration signal to obtain several intrinsic scale components and extracts the time domain feature composition feature set.The feature set training is used to generate the mixed multidimensional Gaussian distribution model based on variational Bayes,and the different bearings are calculated.The probability of failure is to achieve fault diagnosis.The experimental results show that the diagnostic accuracy rate is 99.6%.Compared with the bearing diagnosis method based on support vector machine,diagnostic accuracy rate is up to 39.6%.The proposed method can comprehensively and effectively diagnose rolling bearing faults,and has a good diagnostic effect on high-dimensional complex fault data.

Key words: Bearing fault diagnosis, Gaussian mixture model, Local characteristic scale decomposition, Variational Bayes

中图分类号: 

  • TP206+.3
[1]ZHANG R,TAO H,WU L,et al.Transfer Learning with Neural Networks for Bearing Fault Diagnosis in Changing Working Conditions[J].IEEE Access,2017,5:14347-14357.
[2]SUN S S,HE G H,CUI J.Fault diagnosis method of rollingbearing based on dual-tree rational-dilation complex wavelet packet transform and SVM[J].Computer Science,2015(S2):131-134.(in Chinese)
孙珊珊,何光辉,崔建.基于有理双树复小波和svm的滚动轴承故诊断方法[J].计算机科学,2015(S2):131-134.
[3]FU Q,JING B,HE P,et al.Fault feature selection and diagnosis of rolling bearings based on EEMD and optimized Elman_AdaBoost algorithm[J].IEEE Sensors Journal,2018,18(12):5024-5034.
[4]GHAHRAMANI Z.Probabilistic machine learning and artificial intelligence[J].Nature,2015,521(7553):452-459.
[5]KONG H H,SHI H B.A Comparative Study of Generative and Discriminative Classification Methods [J].Sci-Tech Information Development & Economy,2010,20(8):78-81.(in Chinese)
孔环环,石洪波.产生式与判别式分类方法比较研究[J].图书情报导刊,2010,20(8):78-81.
[6]QIU L,GAO S,CAO C G.Improved Estimation of Distribution Algorithms Based on Normal Distribution[J].Computer Science,2015,42(8):32-35.(in Chinese)
邱玲,高尚,曹存根.改进的正态分布的分布估计算法[J].计算机科学,2015,42(8):32-35.
[7]WU Z T,CHENG J S,LI B Q,et al.The method of generalized local characteristic-scale decomposition and its application[J].Journal of Vibration Engineering,2016,29(2):331-339.(in Chinese)
吴占涛,程军圣,李宝庆,等.广义局部特征尺度分解方法及其应用[J].振动工程学报,2016,29(2):331-339.
[8]LUO S,CHENG J.VPMCD based novelty detection method on and its application to fault identification for local characteristic-scale decomposition[J].Cluster Computing,2017,20(4):2955-2965.
[9]CHAMBERS J M.Graphical Methods for Data Analysis[M].Chapman and Hall/CRC,2017.
[10]PAOLELLA M S.New graphical methods and test statistics for testing composite normality[J].Econometrics,2015,3(3):532-560.
[11]MA Y,ZHAO S,HUANG B.Multiple-Model State Estimation Based on Variational Bayesian Inference[J].IEEE Transactions on Automatic Control,2018,64(4):1679-1685.
[12]CHEN Y,GUO Q,SUN H,et al.A Distributionally Robust Optimization Model for Unit Commitment Based on Kullback-Leibler Divergence[J].IEEE Transactions on Power Systems,2018,33(5):5147-5160.
[13]LIM K L,WANG H.MAP approximation to the variationalBayes Gaussian mixture model and application[J].Soft Computing,2017(3):1-13.
[14]WU G.Fast and scalable variational Bayes estimation of spatial econometric models for Gaussian data[J].Spatial Statistics,2018,24:32-53.
[15]WU W,NAGARAJAN S,CHEN Z.Bayesian Machine Learning:EEG/MEG signal processing measurements[J].IEEE Signal Processing Magazine,2016,33(1):14-36.
[16]KANGIN D,MARKARIAN G.Multi-Bernoulli filter for group object tracking and its Gaussian-Wishart implementation[C]∥International Joint Conference on Neural Networks.IEEE,2017:3161-3168.
[17]KAMIL A,VINCENT E.Variational Bayesian Inference forSource Separation and Robust Feature Extraction[J].IEEE/ACM Transactions on Audio Speech & Language Processing,2016,24(10):1746-1758.
[18]STURROCK K,ROCHA J.A Multidimensional Scaling Stress Evaluation Table:[J].Field Methods,2016,12(1):49-60.
[19]LI J R,YUE J H.Fault diagnosis algorithm for the axle box bearing of walking unit in EMU based on HHT and resonance demodulation method[J].Journal of Beijing Jiaotong University,2017,41(4):85-90.(in Chinese)
李佳睿,岳建海.基于HHT及共振解调方法的动车组走行部轴箱轴承故障诊断算法[J].北京交通大学学报,2017,41(4):85-90.
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