A bearing fault diagnosis technique based on singular values of EEMD spatial condition matrix and Gath-Geva clustering

Abstract This paper employs a combined ensemble empirical mode decomposition (EEMD) and singular value decomposition (SVD) technique to extract useful fault features from the condition monitoring data of rolling element bearings. The fault features is then classified by a Fuzzy clustering method, Gath-Geva (GG) clustering, to obtain the cluster center and membership matrix of each bearing condition for pattern recognition. The bearing fault recognition is realized by calculating the hamming approach degree between the test samples and the known fault clustering centers from the GG clustering. The proposed algorithm is then evaluated first on several sets of simulated bearing defect data with different signal to noise ratios (SNRs) to represent bearing defects with various degrees of severities. Satisfying diagnosis outcome can be obtained from this set of simulation when the SNR is greater than 1. The algorithm is further evaluated using a set of experimental data from a bearing fault test rig. It is found that the proposed algorithm can diagnose all bearing operation conditions accurately based on the experimental data.

[1]  Ying Wang,et al.  AF-DHNN: Fuzzy Clustering and Inference-Based Node Fault Diagnosis Method for Fire Detection , 2015, Sensors.

[2]  Yu-Jie Wang A clustering method based on fuzzy equivalence relation for customer relationship management , 2010, Expert Syst. Appl..

[3]  Tian Ran Lin,et al.  A practical signal processing approach for condition monitoring of low speed machinery using Peak-Hold-Down-Sample algorithm , 2012 .

[4]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[5]  James C. Bezdek,et al.  Optimal Fuzzy Partitions: A Heuristic for Estimating the Parameters in a Mixture of Normal Distributions , 1975, IEEE Transactions on Computers.

[6]  A. Laub,et al.  The singular value decomposition: Its computation and some applications , 1980 .

[7]  N. Huang,et al.  A study of the characteristics of white noise using the empirical mode decomposition method , 2004, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[8]  Xuejun Li,et al.  Multi-Fault Detection of Rolling Element Bearings under Harsh Working Condition Using IMF-Based Adaptive Envelope Order Analysis , 2014, Sensors.

[9]  Yaguo Lei,et al.  Application of the EEMD method to rotor fault diagnosis of rotating machinery , 2009 .

[10]  Zhen Zhou,et al.  Data compression using SVD and Fisher information for radar emitter location , 2010, Signal Process..

[11]  Chengwei Li,et al.  Application in Feature Extraction of AE Signal for Rolling Bearing in EEMD and Cloud Similarity Measurement , 2015 .

[12]  Bruno César Zanardo Honório,et al.  Well Log Denoising and Geological Enhancement Based on Discrete Wavelet Transform and Hybrid Thresholding , 2012 .

[13]  R. Randall,et al.  OPTIMISATION OF BEARING DIAGNOSTIC TECHNIQUES USING SIMULATED AND ACTUAL BEARING FAULT SIGNALS , 2000 .

[14]  Jong-Myon Kim,et al.  Image watermarking using a dynamically weighted fuzzy c-means algorithm , 2011 .

[15]  Ali Sarosh,et al.  A novel KFCM based fault diagnosis method for unknown faults in satellite reaction wheels. , 2012, ISA transactions.

[16]  L. Rasolofondraibe,et al.  Method of De-Noising By Spectral Subtraction Applied to the Detection of Rolling Bearings Defects , 2006 .

[17]  Jin Chen,et al.  Feature extraction of rolling bearing’s early weak fault based on EEMD and tunable Q-factor wavelet transform , 2014 .

[18]  Zeshui Xu,et al.  Distance and similarity measures for hesitant fuzzy sets , 2011, Inf. Sci..

[19]  P. Mahalanobis On the generalized distance in statistics , 1936 .

[20]  Jing Wang,et al.  Application of Close Degree to Classified Prediction of Geomagnetic Disturbances , 2006 .

[21]  Norden E. Huang,et al.  Ensemble Empirical Mode Decomposition: a Noise-Assisted Data Analysis Method , 2009, Adv. Data Sci. Adapt. Anal..

[22]  Hanli Qiao,et al.  New SVD based initialization strategy for non-negative matrix factorization , 2014, Pattern Recognit. Lett..

[23]  K. Jajuga L 1 -norm based fuzzy clustering , 1991 .

[24]  Xuezhi Zhao,et al.  Selection of effective singular values using difference spectrum and its application to fault diagnosis of headstock , 2011 .

[25]  Tong Shuiguang,et al.  Research of singular value decomposition based on slip matrix for rolling bearing fault diagnosis , 2015 .

[26]  George A. Papakostas,et al.  Distance and similarity measures between intuitionistic fuzzy sets: A comparative analysis from a pattern recognition point of view , 2013, Pattern Recognit. Lett..

[27]  Meng Gan,et al.  Multiple-domain manifold for feature extraction in machinery fault diagnosis , 2015 .

[28]  Jie Chen,et al.  Design of unknown input observers and robust fault detection filters , 1996 .

[29]  Babak Nadjar Araabi,et al.  Recursive Gath-Geva clustering as a basis for evolving neuro-fuzzy modeling , 2010, International Conference on Fuzzy Systems.

[30]  Jiang Hongkai,et al.  A sliding window feature extraction method for rotating machinery based on the lifting scheme , 2007 .

[31]  Feng Zhang,et al.  Research on High-Frequency Combination Coding-Based SSVEP-BCIs and Its Signal Processing Algorithms , 2015 .

[32]  Chung-Feng Jeffrey Kuo,et al.  Automatic machine embroidery image color analysis system. Part I: Using Gustafson-Kessel clustering algorithm in embroidery fabric color separation , 2012 .

[33]  Gang Tang,et al.  A Compound Fault Diagnosis for Rolling Bearings Method Based on Blind Source Separation and Ensemble Empirical Mode Decomposition , 2014, PloS one.