Fault detection via sparsity-based blind filtering on experimental vibration signals

Detection of bearing faults is a challenging task since the impulsive pattern of bearing faults often fades into the noise. Moreover, tracking the health conditions of  rotating machinery generally requires the characteristic frequencies of the components of interest, which can be a cumbersome constraint for large industrial applications because of the extensive number of machine components. One recent method proposed in literature addresses these difficulties by aiming to increase the sparsity of the envelope spectrum of the vibration signal via blind filtering (Peeters. et al., 2020). As the name indicates, this method requires no prior knowledge about the machine.  Sparsity measures like Hoyer index, l1/l2 norm, and spectral negentropy are optimized in the blind filtering approach using Generalized Rayleigh quotient iteration. Even though the proposed method has demonstrated a promising performance, it has  only been applied to vibration signals of an academic experimental test rig. This paper focuses on the real-world performance of the sparsity-based blind filtering approach on a complex industrial machine. One of the challenges is to ensure the numerical stability and the convergence of the Generalized Rayleigh quotient optimization. Enhancements are thus made by identifying a quasi-optimal filter parameter range within which blind filtering tackles these issues. Finally, filtering is applied to certain frequency ranges in order to prevent the blind filtering optimization from getting skewed by dominant deterministic healthy signal content. The outcome proves that sparsity-based blind filters are effective in tracking bearing faults on real-world rotating machinery without any prior knowledge of characteristic frequencies.

[1]  Jan Helsen,et al.  Blind filters based on envelope spectrum sparsity indicators for bearing and gear vibration-based condition monitoring , 2020 .

[2]  Steven B. Leeb,et al.  Review and comparison of tacholess instantaneous speed estimation methods on experimental vibration data , 2019, Mechanical Systems and Signal Processing.

[3]  Marco Buzzoni,et al.  Blind deconvolution based on cyclostationarity maximization and its application to fault identification , 2018, Journal of Sound and Vibration.

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

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

[6]  Radoslaw Zimroz,et al.  Blind equalization using combined skewness–kurtosis criterion for gearbox vibration enhancement , 2016 .

[7]  고봉환,et al.  Minimum Entropy Deconvolution을 이용한 회전체 시스템의 결함 모니터링 , 2013 .

[8]  Rob Fergus,et al.  Blind deconvolution using a normalized sparsity measure , 2011, CVPR 2011.

[9]  Yaoyu Li,et al.  A review of recent advances in wind turbine condition monitoring and fault diagnosis , 2009, 2009 IEEE Power Electronics and Machines in Wind Applications.

[10]  Scott T. Rickard,et al.  Comparing Measures of Sparsity , 2008, IEEE Transactions on Information Theory.

[11]  Johan H. C. Reiber,et al.  Sparse Registration for Three-Dimensional Stress Echocardiography , 2008, IEEE Transactions on Medical Imaging.

[12]  Patrik O. Hoyer,et al.  Non-negative Matrix Factorization with Sparseness Constraints , 2004, J. Mach. Learn. Res..

[13]  Robert B. Randall,et al.  A Stochastic Model for Simulation and Diagnostics of Rolling Element Bearings With Localized Faults , 2003 .

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

[15]  J. Franke A Levinson-Durbin recursion for autoregressive-moving average processes , 1985 .

[16]  Charles R. Johnson,et al.  Matrix analysis , 1985 .

[17]  B. Parlett The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices , 1974 .

[18]  Qing Zhao,et al.  Multipoint Optimal Minimum Entropy Deconvolution and Convolution Fix: Application to vibration fault detection , 2017 .

[19]  Brian P. Graney,et al.  Rolling Element Bearing Analysis , 2012 .