Rolling Bearing Fault Diagnosis Using Modified Neighborhood Preserving Embedding and Maximal Overlap Discrete Wavelet Packet Transform with Sensitive Features Selection

In order to enhance the performance of bearing fault diagnosis and classification, features extraction and features dimensionality reduction have become more important. The original statistical feature set was calculated from single branch reconstruction vibration signals obtained by using maximal overlap discrete wavelet packet transform (MODWPT). In order to reduce redundancy information of original statistical feature set, features selection by adjusted rand index and sum of within-class mean deviations (FSASD) was proposed to select fault sensitive features. Furthermore, a modified features dimensionality reduction method, supervised neighborhood preserving embedding with label information (SNPEL), was proposed to realize low-dimensional representations for high-dimensional feature space. Finally, vibration signals collected from two experimental test rigs were employed to evaluate the performance of the proposed procedure. The results show that the effectiveness, adaptability, and superiority of the proposed procedure can serve as an intelligent bearing fault diagnosis system.

[1]  Ben J. A. Kröse,et al.  Supervised Dimension Reduction of Intrinsically Low-Dimensional Data , 2002, Neural Computation.

[2]  R. Fisher THE USE OF MULTIPLE MEASUREMENTS IN TAXONOMIC PROBLEMS , 1936 .

[3]  Zhaoyang Lu,et al.  A subset method for improving Linear Discriminant Analysis , 2014, Neurocomputing.

[4]  Liao Cui,et al.  Tanshinol stimulates bone formation and attenuates dexamethasone-induced inhibition of osteogenesis in larval zebrafish , 2015, Journal of orthopaedic translation.

[5]  Jinde Zheng,et al.  A rolling bearing fault diagnosis approach based on LCD and fuzzy entropy , 2013 .

[6]  Xiaofeng Liu,et al.  Bearing faults diagnostics based on hybrid LS-SVM and EMD method , 2015 .

[7]  M. Cugmas,et al.  On comparing partitions , 2015 .

[8]  Yu Huang,et al.  Time-Frequency Representation Based on an Adaptive Short-Time Fourier Transform , 2010, IEEE Transactions on Signal Processing.

[9]  Li Li,et al.  A Novel Characteristic Frequency Bands Extraction Method for Automatic Bearing Fault Diagnosis Based on Hilbert Huang Transform , 2015, Sensors.

[10]  C. Y. Yang,et al.  Diagnostics of gear deterioration using EEMD approach and PCA process , 2015 .

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

[12]  Steven X. Ding,et al.  A Survey of Fault Diagnosis and Fault-Tolerant Techniques—Part I: Fault Diagnosis With Model-Based and Signal-Based Approaches , 2015, IEEE Transactions on Industrial Electronics.

[13]  Zhongmin Deng,et al.  An improved EMD method based on the multi-objective optimization and its application to fault feature extraction of rolling bearing , 2017 .

[14]  Xiaoming Xue,et al.  A hybrid fault diagnosis approach based on mixed-domain state features for rotating machinery. , 2017, ISA transactions.

[15]  Zhijing Yang,et al.  Trend extraction based on separations of consecutive empirical mode decomposition components in Hilbert marginal spectrum , 2013 .

[16]  Yitao Liang,et al.  A novel bearing fault diagnosis model integrated permutation entropy, ensemble empirical mode decomposition and optimized SVM , 2015 .

[17]  Camille Roth,et al.  Natural Scales in Geographical Patterns , 2017, Scientific Reports.

[18]  Arezki Menacer,et al.  Fast Fourier and discrete wavelet transforms applied to sensorless vector control induction motor for rotor bar faults diagnosis. , 2014, ISA transactions.

[19]  Masashi Sugiyama,et al.  Dimensionality Reduction of Multimodal Labeled Data by Local Fisher Discriminant Analysis , 2007, J. Mach. Learn. Res..

[20]  Long Zhang,et al.  Bearing fault diagnosis using multi-scale entropy and adaptive neuro-fuzzy inference , 2010, Expert Syst. Appl..

[21]  Sauro Longhi,et al.  Electric motor defects diagnosis based on kernel density estimation and Kullback-Leibler divergence in quality control scenario , 2015, Eng. Appl. Artif. Intell..

[22]  Guoyu Meng,et al.  Vibration signal analysis using parameterized time–frequency method for features extraction of varying-speed rotary machinery , 2015 .

[23]  Li Zhang,et al.  A supervised neighborhood preserving embedding for face recognition , 2014, 2014 International Joint Conference on Neural Networks (IJCNN).

[24]  William M. Rand,et al.  Objective Criteria for the Evaluation of Clustering Methods , 1971 .

[25]  Weidong Yan,et al.  Supervised linear manifold learning feature extraction for hyperspectral image classification , 2014, 2014 IEEE Geoscience and Remote Sensing Symposium.

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

[27]  Yaguo Lei,et al.  A multidimensional hybrid intelligent method for gear fault diagnosis , 2010, Expert Syst. Appl..

[28]  Jian Yang,et al.  Approximate Orthogonal Sparse Embedding for Dimensionality Reduction , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[29]  Hee-Jun Kang,et al.  Bearing Defect Classification Based on Individual Wavelet Local Fisher Discriminant Analysis with Particle Swarm Optimization , 2016, IEEE Transactions on Industrial Informatics.

[30]  Farhat Fnaiech,et al.  Bi-spectrum based-EMD applied to the non-stationary vibration signals for bearing faults diagnosis , 2014, 2014 6th International Conference of Soft Computing and Pattern Recognition (SoCPaR).

[31]  Jihong Yan,et al.  Dominant feature selection for the fault diagnosis of rotary machines using modified genetic algorithm and empirical mode decomposition , 2015 .

[32]  Genlin Ji,et al.  Semisupervised local preserving embedding algorithm based on maximum margin criterion for large‐scale data streams , 2017, Concurr. Comput. Pract. Exp..

[33]  Anil K. Jain,et al.  Statistical Pattern Recognition: A Review , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[34]  C. K. E. Nizwan,et al.  A wavelet decomposition analysis of vibration signal for bearing fault detection , 2013 .

[35]  A. Walden,et al.  The phase–corrected undecimated discrete wavelet packet transform and its application to interpreting the timing of events , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[36]  Jian-Da Wu,et al.  An expert system for fault diagnosis in internal combustion engines using wavelet packet transform and neural network , 2009, Expert Syst. Appl..

[37]  Yousef Saad,et al.  Orthogonal neighborhood preserving projections , 2005, Fifth IEEE International Conference on Data Mining (ICDM'05).

[38]  Vladimir N. Vapnik,et al.  The Nature of Statistical Learning Theory , 2000, Statistics for Engineering and Information Science.

[39]  Amiya R Mohanty,et al.  Monitoring gear vibrations through motor current signature analysis and wavelet transform , 2006 .

[40]  Peter W. Tse,et al.  A critical study of different dimensionality reduction methods for gear crack degradation assessment under different operating conditions , 2016 .

[41]  Juan Li,et al.  Research on fault diagnosis of airborne fuel pump based on EMD and probabilistic neural networks , 2017, Microelectron. Reliab..

[42]  Ivor W. Tsang,et al.  Flexible Manifold Embedding: A Framework for Semi-Supervised and Unsupervised Dimension Reduction , 2010, IEEE Transactions on Image Processing.

[43]  Xiaoyuan Zhang,et al.  Support vector machine with parameter optimization by a novel hybrid method and its application to fault diagnosis , 2015, Neurocomputing.

[44]  Huaqing Wang,et al.  Fuzzy Diagnosis Method for Rotating Machinery in Variable Rotating Speed , 2011, IEEE Sensors Journal.

[45]  Zhong Jin,et al.  Locality preserving embedding for face and handwriting digital recognition , 2011, Neural Computing and Applications.

[46]  Steven X. Ding,et al.  A Survey of Fault Diagnosis and Fault-Tolerant Techniques—Part II: Fault Diagnosis With Knowledge-Based and Hybrid/Active Approaches , 2015, IEEE Transactions on Industrial Electronics.

[47]  Nadir Boutasseta,et al.  A new time-frequency method for identification and classification of ball bearing faults , 2017 .

[48]  Mark J. Embrechts,et al.  On the Use of the Adjusted Rand Index as a Metric for Evaluating Supervised Classification , 2009, ICANN.

[49]  Yan Cui,et al.  A novel supervised feature extraction and classification fusion algorithm for land cover recognition of the off-land scenario , 2014, Neurocomputing.

[50]  Myeongsu Kang,et al.  Time-Varying and Multiresolution Envelope Analysis and Discriminative Feature Analysis for Bearing Fault Diagnosis , 2015, IEEE Transactions on Industrial Electronics.

[51]  C. R. Rao,et al.  The Utilization of Multiple Measurements in Problems of Biological Classification , 1948 .

[52]  K. Manivannan,et al.  Bearing Fault Diagnosis using Wavelet Packet Transform, Hybrid PSO and Support Vector Machine☆ , 2014 .

[53]  Xiaofei He,et al.  Locality Preserving Projections , 2003, NIPS.

[54]  Fen Chen,et al.  Fault Diagnosis of Rolling Bearing Based on Wavelet Package Transform and Ensemble Empirical Mode Decomposition , 2013 .

[55]  Myeongsu Kang,et al.  Reliable Fault Diagnosis for Low-Speed Bearings Using Individually Trained Support Vector Machines With Kernel Discriminative Feature Analysis , 2015, IEEE Transactions on Power Electronics.

[56]  Cong Wang,et al.  Intelligent fault diagnosis of rolling element bearings using sparse wavelet energy based on overcomplete DWT and basis pursuit , 2015, Journal of Intelligent Manufacturing.

[57]  Guanghua Xu,et al.  Detection of weak transient signals based on wavelet packet transform and manifold learning for rolling element bearing fault diagnosis , 2015 .

[58]  Weihua Li,et al.  Bearing Condition Recognition and Degradation Assessment under Varying Running Conditions Using NPE and SOM , 2014 .

[59]  Vladimir Cherkassky,et al.  The Nature Of Statistical Learning Theory , 1997, IEEE Trans. Neural Networks.

[60]  Nagi Gebraeel,et al.  Residual life predictions from vibration-based degradation signals: a neural network approach , 2004, IEEE Transactions on Industrial Electronics.

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

[62]  P. Shan,et al.  Nonlinear Time-Varying Spectral Analysis: HHT and MODWPT , 2010 .

[63]  Ricardo J. G. B. Campello,et al.  A fuzzy extension of the Rand index and other related indexes for clustering and classification assessment , 2007, Pattern Recognit. Lett..

[64]  Okyay Kaynak,et al.  Improved PLS Focused on Key-Performance-Indicator-Related Fault Diagnosis , 2015, IEEE Transactions on Industrial Electronics.

[65]  Chih-Jen Lin,et al.  A comparison of methods for multiclass support vector machines , 2002, IEEE Trans. Neural Networks.

[66]  Emine Ayaz,et al.  Feature extraction related to bearing damage in electric motors by wavelet analysis , 2003, J. Frankl. Inst..

[67]  Yi Chen,et al.  Maximal local interclass embedding with application to face recognition , 2011, Machine Vision and Applications.

[68]  Zhiqiang Ge,et al.  Supervised neighborhood preserving embedding for feature extraction and its application for soft sensor modeling , 2016 .

[69]  Ayyaz Hussain,et al.  Enhancing Fault Classification Accuracy of Ball Bearing Using Central Tendency Based Time Domain Features , 2017, IEEE Access.

[70]  Shuicheng Yan,et al.  Neighborhood preserving embedding , 2005, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1.

[71]  Ming Zeng,et al.  Incremental supervised locally linear embedding for machinery fault diagnosis , 2016, Eng. Appl. Artif. Intell..

[72]  A. Mohanty,et al.  APPLICATION OF DISCRETE WAVELET TRANSFORM FOR DETECTION OF BALL BEARING RACE FAULTS , 2002 .

[73]  Nicolas Le Roux,et al.  Out-of-Sample Extensions for LLE, Isomap, MDS, Eigenmaps, and Spectral Clustering , 2003, NIPS.

[74]  Abdolreza Ohadi,et al.  Application of wavelet energy and Shannon entropy for feature extraction in gearbox fault detection under varying speed conditions , 2014, Neurocomputing.

[75]  S T Roweis,et al.  Nonlinear dimensionality reduction by locally linear embedding. , 2000, Science.

[76]  Jing Yuan,et al.  Multiwavelet transform and its applications in mechanical fault diagnosis – A review , 2014 .

[77]  Dejie Yu,et al.  A gear fault diagnosis using Hilbert spectrum based on MODWPT and a comparison with EMD approach , 2009 .

[78]  Andrew T. Walden,et al.  From Blackman-Tukey pilot estimators to wavelet packet estimators: a modern perspective on an old spectrum estimation idea , 2002, Signal Process..

[79]  Visakan Kadirkamanathan,et al.  The study of fault diagnosis in rotating machinery , 2009, 2009 5th International Colloquium on Signal Processing & Its Applications.

[80]  L. Finkelstein Optical Pattern Recognition , 1980 .

[81]  Bong-Hwan Koh,et al.  Fault Detection of a Roller-Bearing System through the EMD of a Wavelet Denoised Signal , 2014, Sensors.

[82]  Arturo Garcia-Perez,et al.  Reconfigurable Monitoring System for Time-Frequency Analysis on Industrial Equipment Through STFT and DWT , 2013, IEEE Transactions on Industrial Informatics.