An open set recognition methodology utilising discrepancy analysis for gear diagnostics under varying operating conditions

Abstract Historical fault data are often difficult and expensive to acquire, which can prohibit the application of supervised learning techniques in the condition-based maintenance field. Hence, novelty detection techniques such as discrepancy analysis are useful because only healthy historical data are required. However, even if discrepancy analysis is implemented on a machine, some historical fault data will become available during the operational lifetime of the machine and could be utilised to improve the efficiency of the condition inference process. An open set recognition methodology relying on discrepancy analysis is proposed that is capable of detecting novelties when only healthy historical data are available. It is also capable of inferring the condition of the machine if historical fault data are available and it is further able to detect novelties in regions not well supported by the historical fault data. In the condition recognition procedure, Gaussian mixture models are used with Bayes’ rule and a decision rule to infer the condition of the machine in an open set recognition framework, where it is emphasised that it is beneficial to use the complete datasets (i.e. data acquired throughout the life of the component) for optimising the models. The benefit of the open set recognition model is that it is easy to incorporate new historical data in the framework as the data become available. In this work, practical aspects of the condition inference process such as the importance of good decision boundaries are highlighted and discussed as well. The methodology is validated on a synthetic dataset and experimental datasets acquired under varying operating conditions and it is also compared to a conventional classification process where discrepancy analysis is not used. The results indicate the potential of using the proposed methodology for rotating machine diagnostics under varying operating conditions.

[1]  Brian D. Rigling,et al.  Open set recognition for automatic target classification with rejection , 2016, IEEE Transactions on Aerospace and Electronic Systems.

[2]  Józef Jonak,et al.  Early fault detection in gearboxes based on support vector machines and multilayer perceptron with a continuous wavelet transform , 2015, Appl. Soft Comput..

[3]  Liang Guo,et al.  A neural network constructed by deep learning technique and its application to intelligent fault diagnosis of machines , 2018, Neurocomputing.

[4]  K. Loparo,et al.  HMM-Based Fault Detection and Diagnosis Scheme for Rolling Element Bearings , 2005 .

[5]  Daming Lin,et al.  A review on machinery diagnostics and prognostics implementing condition-based maintenance , 2006 .

[6]  Mir Mohammad Ettefagh,et al.  Diagnosis of combined faults in Rotary Machinery by Non-Naive Bayesian approach , 2017 .

[7]  J. Rafiee,et al.  Application of mother wavelet functions for automatic gear and bearing fault diagnosis , 2010, Expert Syst. Appl..

[8]  Amparo Alonso-Betanzos,et al.  Automatic bearing fault diagnosis based on one-class ν-SVM , 2013, Comput. Ind. Eng..

[9]  J. Antoni Cyclostationarity by examples , 2009 .

[10]  Xin Zhou,et al.  Deep neural networks: A promising tool for fault characteristic mining and intelligent diagnosis of rotating machinery with massive data , 2016 .

[11]  Ming Yang,et al.  A wavelet approach to fault diagnosis of a gearbox under varying load conditions , 2010 .

[12]  Yaguo Lei,et al.  Gear crack level identification based on weighted K nearest neighbor classification algorithm , 2009 .

[13]  Simon J. Godsill,et al.  Statistical gear health analysis which is robust to fluctuating loads and operating speeds , 2012 .

[14]  Yaguo Lei,et al.  Deep normalized convolutional neural network for imbalanced fault classification of machinery and its understanding via visualization , 2018, Mechanical Systems and Signal Processing.

[15]  Hongwei Liu,et al.  Fault analysis of wind turbines in China , 2016 .

[16]  Jérôme Antoni,et al.  Order-frequency analysis of machine signals , 2017 .

[17]  Konstantinos Gryllias,et al.  A discrepancy analysis methodology for rolling element bearing diagnostics under variable speed conditions , 2019, Mechanical Systems and Signal Processing.

[18]  Jérôme Antoni,et al.  The infogram: Entropic evidence of the signature of repetitive transients , 2016 .

[19]  Jérôme Antoni,et al.  Application of averaged instantaneous power spectrum for diagnostics of machinery operating under non-stationary operational conditions , 2012 .

[20]  V. Makis,et al.  Condition monitoring and classification of rotating machinery using wavelets and hidden Markov models , 2007 .

[21]  I. Javorskyj,et al.  Periodically correlated random processes: Application in early diagnostics of mechanical systems , 2017 .

[22]  Nasser M. Nasrabadi,et al.  Pattern Recognition and Machine Learning , 2006, Technometrics.

[23]  P. S. Heyns,et al.  Instantaneous angular speed monitoring of gearboxes under non-cyclic stationary load conditions , 2005 .

[24]  Fulei Chu,et al.  Application of the wavelet transform in machine condition monitoring and fault diagnostics: a review with bibliography , 2004 .

[25]  Terrance E. Boult,et al.  Probability Models for Open Set Recognition , 2014, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[26]  Xiaoxuan Qi,et al.  Diagnosis of misalignment faults by tacholess order tracking analysis and RBF networks , 2015, Neurocomputing.

[27]  P. S. Heyns,et al.  Combining synchronous averaging with a Gaussian mixture model novelty detection scheme for vibration-based condition monitoring of a gearbox , 2012 .

[28]  P. S. Heyns,et al.  A tacholess order tracking methodology based on a probabilistic approach to incorporate angular acceleration information into the maxima tracking process , 2018 .

[29]  Gaël Varoquaux,et al.  Scikit-learn: Machine Learning in Python , 2011, J. Mach. Learn. Res..

[30]  David M. J. Tax,et al.  Novelty detection and multi-class classification in power distribution voltage waveforms , 2016, Expert Syst. Appl..

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

[32]  Na Wu,et al.  Quantitative fault analysis of roller bearings based on a novel matching pursuit method with a new step-impulse dictionary , 2016 .

[33]  Robert P. W. Duin,et al.  Growing a multi-class classifier with a reject option , 2008, Pattern Recognit. Lett..

[34]  Quentin Leclere,et al.  A multi-order probabilistic approach for Instantaneous Angular Speed tracking debriefing of the CMMNO׳14 diagnosis contest , 2016 .

[35]  Robert G. Vinson Rotating machine diagnosis using smart feature selection under non-stationary operating conditions , 2016 .

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

[37]  Anderson Rocha,et al.  Toward Open Set Recognition , 2013, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[38]  Guy Clerc,et al.  The use of features selection and nearest neighbors rule for faults diagnostic in induction motors , 2006, Eng. Appl. Artif. Intell..

[39]  Jérôme Antoni,et al.  Envelope analysis of rotating machine vibrations in variable speed conditions: A comprehensive treatment , 2017 .

[40]  P. S. Heyns,et al.  A novelty detection diagnostic methodology for gearboxes operating under fluctuating operating conditions using probabilistic techniques , 2018 .

[41]  Michael G. Lipsett,et al.  Fault detection using transient machine signals , 2008 .

[42]  Diego Cabrera,et al.  A review on data-driven fault severity assessment in rolling bearings , 2018 .

[43]  Diego Cabrera,et al.  Gearbox fault diagnosis based on deep random forest fusion of acoustic and vibratory signals , 2016 .

[44]  Xiangyang Gong,et al.  Double-dictionary matching pursuit for fault extent evaluation of rolling bearing based on the Lempel-Ziv complexity , 2016 .

[45]  Yaguo Lei,et al.  Repetitive transient extraction for machinery fault diagnosis using multiscale fractional order entropy infogram , 2018 .

[46]  P. S. Heyns,et al.  Online shaft encoder geometry compensation for arbitrary shaft speed profiles using Bayesian regression , 2016 .