An extension of unscented Kalman filter to dynamic Bayesian wavelet transform in fault diagnosis of rolling element bearings

ZHAO Jing1,2, LIAO Yingying2,3, YANG Shaopu1,2, LIU Yongqiang1,2, GU Xiaohui1,2

Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (11) : 53-62.

PDF(1600 KB)
PDF(1600 KB)
Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (11) : 53-62.

An extension of unscented Kalman filter to dynamic Bayesian wavelet transform in fault diagnosis of rolling element bearings

  • ZHAO Jing1,2, LIAO Yingying2,3, YANG Shaopu1,2, LIU Yongqiang1,2, GU Xiaohui1,2
Author information +
History +

Abstract

In engineering practice, the types of rolling bearing failure are typical and the fault signals are impulsive, and the frequency component of the vibration signals are extremely complex due to the influence of the external environment. A dynamic bayesian wavelet transform method based on negentropy and unscented kalman filter is proposed. The method applies SE(Squared Envelope) Infogram method to Unscented Kalman Filter (UKF) method. This method uses SE Infogram to determine the initial value of filter parameters, that is initial values of center frequency and bandwidth. Then, the center frequency and bandwidth are optimized with UKF, the vibration signal is filtered by optimal center frequency and bandwidth, and the envelope demodulation of the filtered signal is analyzed, so the weak fault characteristics of bearing can be extracted. This method replaces the kurtosis index used in previous studies with negentropy index. which can effectively eliminate or weaken the influence of peak value interference. Finally, the simulation signal and wheelset bearing test signal are validated. The results indicate that this method can effectively extract the fault of bearing outer and inner and roller under strong background noise, the effectiveness of this method in the diagnosis of weak bearing faults is verified.

Key words

 fault diagnosis / negentropy / unscented kalman filter / dynamic bayesian wavelet transform

Cite this article

Download Citations
ZHAO Jing1,2, LIAO Yingying2,3, YANG Shaopu1,2, LIU Yongqiang1,2, GU Xiaohui1,2. An extension of unscented Kalman filter to dynamic Bayesian wavelet transform in fault diagnosis of rolling element bearings[J]. Journal of Vibration and Shock, 2020, 39(11): 53-62

References

[1] Randall R B. Vibration-based Condition Monitoring: Industrial,Aerospace and Automotive Applications[M] Vibration-based condition monitoring: industrial, aerospace and automotive applications. John Wiley & Sons, 2011.
[2] Dwyer R. Detection of non-Gaussian signals by frequency domain Kurtosis estimation[C] Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP. IEEE, 1983: 607-610.
[3] Antoni J. The spectral kurtosis: a useful tool for characterising non-stationary signals[J]. Mechanical Systems & Signal Processing, 2006, 20(2): 282-307.
[4]  Antoni J, Randall R B. The spectral kurtosis: application to the vibratory surveillance and diagnostics of rotating machines[J]. Mechanical Systems & Signal Processing, 2006, 20(2): 308-311.
[5]  Antoni J. Fast computation of the kurtogram for the detection of transient faults[J]. Mechanical Systems & Signal Processing, 2007, 21(1): 108-124.
[6] Barszcz T, Jabłoński A. A novel method for the optimal band selection for vibration signal demodulation and comparison with the Kurtogram[J]. Mechanical Systems & Signal Processing, 2011, 25(1): 431-451.
[7] 马新娜, 杨绍普. 典型快速谱峭图算法的研究及应用[J]. 振动与冲击, 2016, 35(15): 109-114.
MA Xinna,YANG Shaopu. Typical fast kurtogram algorithm and its application [J]. Journal of Vibration and Shock, 2016, 35(15): 109-114.
[8] WANG D, SUN S, TSE P W . A general sequential Monte Carlo method based optimal wavelet filter: A Bayesian approach for extracting bearing fault features[J]. Mechanical Systems and Signal Processing, 2015, 52: 293-308.
[9] WANG D, MIAO Q. Smoothness index-guided Bayesian inference for determining joint posterior probability distributions of anti-symmetric real Laplace wavelet parameters for identification of different bearing faults[J]. Journal of Sound and Vibration, 2015, 345: 250-266.
[10] WANG D, TSUI K L, ZHOU Q. Novel Gauss–Hermite integration based Bayesian inference on optimal wavelet parameters for bearing fault diagnosis[J]. Mechanical Systems and Signal Processing, 2016, 72: 80-91.
[11] WANG D. An extension of the infograms to novel Bayesian inference for bearing fault feature identification[J]. Mechanical Systems and Signal Processing, 2016, 80: 19-30.
[12] WANG D, TSUI K L. Dynamic Bayesian wavelet transform: New methodology for extraction of repetitive transients[J]. Mechanical Systems and Signal Processing, 2017, 88: 137-144.
[13] Antoni J. The infogram: Entropic evidence of the signature of repetitive transients[J]. Mechanical Systems & Signal Processing, 2016, 74: 73-94.
[14] Antoni J. The infogram: Entropic evidence of the signature of repetitive transients[J]. Mechanical Systems & Signal Processing, 2016, 74: 73-94.
[15] S. Särkkä, Bayesian Filtering and Smoothing[M], New York, Cambridge University Press, 2013.
[16] 曲从善, 许化龙, 谭营. 非线性贝叶斯滤波算法综述[J]. 电光与控制, 2008, 15(8): 64-71.
Qu Congshan, Xu Hualong, Tan ying. A review of nonlinear bayesian filtering algorithms[J]. Electro-optical and control, 2008, 15(8):64- [15] S. Särkkä, Bayesian Filtering and Smoothing[M], New York, Cambridge University Press, 2013.
[17] Yan R, Gao R X, Chen X. Wavelets for fault diagnosis of rotary machines: A review with applications[J]. Signal Processing, 2014, 96(5): 1-15.
[18] Gu X, Yang S, Liu Y, et al. A novel Pareto-based Bayesian approach on extension of the infogram for extracting repetitive transients[J]. Mechanical Systems & Signal Processing, 2018, 106: 119-139.
[19] Nikolaou N G, Antoniadis I A. Demodulation of vibration signals generated by defects in rolling element bearings using complex shifted Morlet wavelets [J]. Mechanical Systems & Signal Processing, 2002, 16(4): 677-69
PDF(1600 KB)

Accesses

Citation

Detail

Sections
Recommended

/