Probabilistic Principal Component Analysis Assisted New Optimal Scale Morphological Top-Hat Filter for the Fault Diagnosis of Rolling Bearing

The early fault impulses of rolling bearing are often submerged by harmonic interferences and background noise. In this paper, a fault diagnosis scheme called probabilistic principal component analysis assisted optimal scale average of erosion and dilation hat filter (OSAEDH-PPCA) is presented for the fault detection of rolling bearing. Based on morphological erosion operator and morphological dilation operator, a new morphological top-hat operator, namely average of erosion and dilation hat (AEDH) operator is firstly proposed to extract the fault impulses in the vibration signal. Simulation analysis shows the filter characteristics of proposed AEDH operator. Comparative analyses demonstrate that the feature extraction property of the AEDH operator is superior to existing top-hat operators. Then, the probabilistic principal component analysis is introduced to enhance the filter property of AEDH for highlighting the fault feature information of rolling bearing further. Experimental signals collected from the test rig and the engineering are employed to validate the availability of proposed method. Experimental results show that the OSAEDH-PPCA can effectively extract the early fault impulses from vibration signal of rolling bearing. Comparison results verify that the OSAEDH-PPCA has advantage in early fault detection of rolling bearing than other morphological filters in existence.

[1]  Hai Qiu,et al.  Wavelet filter-based weak signature detection method and its application on rolling element bearing prognostics , 2006 .

[2]  Ming J. Zuo,et al.  Diagonal slice spectrum assisted optimal scale morphological filter for rolling element bearing fault diagnosis , 2017 .

[3]  Bing Li,et al.  A weighted multi-scale morphological gradient filter for rolling element bearing fault detection. , 2011, ISA transactions.

[4]  Jia Minping,et al.  Application of CSA-VMD and optimal scale morphological slice bispectrum in enhancing outer race fault detection of rolling element bearings , 2019, Mechanical Systems and Signal Processing.

[5]  Danilo P. Mandic,et al.  Empirical Mode Decomposition-Based Time-Frequency Analysis of Multivariate Signals: The Power of Adaptive Data Analysis , 2013, IEEE Signal Processing Magazine.

[6]  Minping Jia,et al.  Fault diagnosis of rolling element bearing using a new optimal scale morphology analysis method. , 2018, ISA transactions.

[7]  Jianbo Yu,et al.  A New Morphological Filter for Fault Feature Extraction of Vibration Signals , 2019, IEEE Access.

[8]  Shuilong He,et al.  Bearing fault diagnosis based on variational mode decomposition and total variation denoising , 2016 .

[9]  Guoan Yang,et al.  A new structuring element for multi-scale morphology analysis and its application in rolling element bearing fault diagnosis , 2015 .

[10]  Chong Shen,et al.  Improved Morphological Filter Based on Variational Mode Decomposition for MEMS Gyroscope De-Noising , 2018, Micromachines.

[11]  Bing Li,et al.  Gear fault detection using multi-scale morphological filters , 2011 .

[12]  Ioannis Antoniadis,et al.  APPLICATION OF MORPHOLOGICAL OPERATORS AS ENVELOPE EXTRACTORS FOR IMPULSIVE-TYPE PERIODIC SIGNALS , 2003 .

[13]  Ming J. Zuo,et al.  Fault detection method for railway wheel flat using an adaptive multiscale morphological filter , 2017 .

[14]  Jing Wang,et al.  Application of improved morphological filter to the extraction of impulsive attenuation signals , 2009 .

[15]  Jianfeng Ma,et al.  Early fault detection method for rolling bearing based on multiscale morphological filtering of information-entropy threshold , 2019, Journal of Mechanical Science and Technology.

[16]  Huaitao Shi,et al.  Rolling Bearing Initial Fault Detection Using Long Short-Term Memory Recurrent Network , 2019, IEEE Access.

[17]  Petros Maragos,et al.  Morphological filters-Part I: Their set-theoretic analysis and relations to linear shift-invariant filters , 1987, IEEE Trans. Acoust. Speech Signal Process..

[18]  Lijun Zhang,et al.  Multiscale morphology analysis and its application to fault diagnosis , 2008 .

[19]  Qiong Chen,et al.  Fault diagnosis of rolling bearing based on wavelet transform and envelope spectrum correlation , 2013 .

[20]  Xiaodong Wang,et al.  Incipient fault feature extraction of rolling bearings based on the MVMD and Teager energy operator. , 2018, ISA transactions.

[21]  Reza Golafshan,et al.  SVD and Hankel matrix based de-noising approach for ball bearing fault detection and its assessment using artificial faults , 2016 .

[22]  Ming J. Zuo,et al.  A new strategy of using a time-varying structure element for mathematical morphological filtering , 2017 .

[23]  Jean Paul Frédéric Serra Morphological filtering: An overview , 1994, Signal Process..

[24]  Fulei Chu,et al.  Recent advances in time–frequency analysis methods for machinery fault diagnosis: A review with application examples , 2013 .

[25]  Nagarajan Murali,et al.  Early Classification of Bearing Faults Using Morphological Operators and Fuzzy Inference , 2013, IEEE Transactions on Industrial Electronics.

[26]  Fanrang Kong,et al.  Bearing fault diagnosis based on an improved morphological filter , 2016 .

[27]  Xiao Long Zhang,et al.  Faults diagnosis of rolling element bearings based on modified morphological method , 2011 .

[28]  Aijun Hu,et al.  Selection principle of mathematical morphological operators in vibration signal processing , 2016 .

[29]  Jingxiang Lv,et al.  Average combination difference morphological filters for fault feature extraction of bearing , 2018 .

[30]  Robert B. Randall,et al.  Rolling element bearing diagnostics—A tutorial , 2011 .

[31]  Michael E. Tipping,et al.  Probabilistic Principal Component Analysis , 1999 .

[32]  Ling Xiang,et al.  An optimal selection method for morphological filter’s parameters and its application in bearing fault diagnosis , 2016 .

[33]  Weijun Liu,et al.  A Low-Rank and Sparse Decomposition-Based Method of Improving the Accuracy of Sub-Pixel Grayscale Centroid Extraction for Spot Images , 2020, IEEE Sensors Journal.

[34]  Minping Jia,et al.  Compound fault diagnosis of rotating machinery based on OVMD and a 1.5-dimension envelope spectrum , 2016 .

[35]  Binqiang Chen,et al.  Detecting of transient vibration signatures using an improved fast spatial–spectral ensemble kurtosis kurtogram and its applications to mechanical signature analysis of short duration data from rotating machinery , 2013 .

[36]  Tingkai Gong,et al.  Fault detection for rolling element bearing based on repeated single-scale morphology and simplified sensitive factor algorithm , 2018, Measurement.

[37]  Qiang Miao,et al.  A parameter-adaptive VMD method based on grasshopper optimization algorithm to analyze vibration signals from rotating machinery , 2018, Mechanical Systems and Signal Processing.

[38]  Dominique Zosso,et al.  Variational Mode Decomposition , 2014, IEEE Transactions on Signal Processing.

[39]  Christopher M. Bishop,et al.  A Hierarchical Latent Variable Model for Data Visualization , 1998, IEEE Trans. Pattern Anal. Mach. Intell..

[40]  Petros Maragos,et al.  Morphological filters-Part II: Their relations to median, order-statistic, and stack filters , 1987, IEEE Trans. Acoust. Speech Signal Process..

[41]  In-Beum Lee,et al.  Process monitoring based on probabilistic PCA , 2003 .

[42]  Yaguo Lei,et al.  A review on empirical mode decomposition in fault diagnosis of rotating machinery , 2013 .

[43]  Robert B. Randall,et al.  The spectral kurtosis: application to the vibratory surveillance and diagnostics of rotating machines , 2006 .

[44]  Robert X. Gao,et al.  Wavelets for fault diagnosis of rotary machines: A review with applications , 2014, Signal Process..

[45]  Ivan R. S. Casella,et al.  Morphological filter applied in a wireless deadbeat control scheme within the context of smart grids , 2014 .

[46]  Reza Langari,et al.  Nonlinear sensor fault diagnosis using mixture of probabilistic PCA models , 2017 .