Enhancing Weak Defect Features Using Undecimated and Adaptive Wavelet Transform for Estimation of Roller Defect Size in a Bearing

ABSTRACT Defects in bearings affect the vibration level, resulting in and increase in temperature and decomposition of lubricant. Estimation of roller defect size is a complex task because it revolves as well as rotates during the motion. Signals from a defective roller of a bearing are superimposed by the signal from races, cage, and background noise. In this communication, a signal processing scheme is proposed that makes the signal suitable for estimating the size of the defect in the rolling element of a tapered roller bearing. To achieve this, in the first stage of processing, shift-invariant soft thresholding is applied to denoise the signal. It suppresses the noise without affecting defect-related features. Further, in the second stage of processing, continuous wavelet transform (CWT) using adaptive wavelet is applied. The adaptive wavelet is designed from the impulse extracted from the signal using the least squares fitting method. It results in higher coefficients in the region of impulse produced due to the defect. Finally, time marginal integration (TMI) of CWT coefficients is carried out for estimation of defect width. A study was performed for six different cases in which the size of the defect and orientation varies. Results of measurements of roller defect widths estimated using the proposed scheme were compared with defect widths calculated using image examination. For the nonoverlapping signature of defects (such as defects at 0° and 90° orientations), the maximum deviation in the width measurement using the proposed scheme is 6.52%. The error may increase when signature of two defects are overlapped.

[1]  Rajesh Kumar,et al.  Adaptive wavelet based signal processing scheme for detecting localized defects in rolling element of taper roller bearing , 2013 .

[2]  V. Sadasivam,et al.  Undecimated double density wavelet transform based speckle reduction in SAR images , 2009, Comput. Electr. Eng..

[3]  Li Li,et al.  Multi-fault diagnosis study on roller bearing based on multi-kernel support vector machine with chaotic particle swarm optimization , 2014 .

[4]  Jing Liu,et al.  Vibration analysis of ball bearings with a localized defect applying piecewise response function , 2012 .

[5]  Lin Liang,et al.  Quantitative diagnosis of a spall-like fault of a rolling element bearing by empirical mode decomposition and the approximate entropy method , 2013 .

[6]  Shawki A. Abouel-seoud,et al.  Gearbox Damage Diagnosis usingWavelet Transform Technique , 2011 .

[7]  Jean-Michel Poggi,et al.  Wavelets and their applications , 2007 .

[8]  Bo-Suk Yang,et al.  Fault diagnosis of low speed bearing based on acoustic emission signal and multi-class relevance vector machine , 2009 .

[9]  Michael J. Roan,et al.  Anomaly detection in rolling element bearings via hierarchical transition matrices , 2014 .

[10]  Carl Q. Howard,et al.  Analyses of contact forces and vibration response for a defective rolling element bearing using an explicit dynamics finite element model , 2014 .

[11]  Yuh-Tay Sheen 3D spectral analysis for vibration signals by wavelet-based demodulation , 2006 .

[12]  Ying Zhang,et al.  Classification of fault location and performance degradation of a roller bearing , 2013 .

[13]  Pavle Boškoski,et al.  Distributed bearing fault diagnosis based on vibration analysis , 2016 .

[14]  Satish C. Sharma,et al.  Rolling element bearing fault diagnosis using wavelet transform , 2011, Neurocomputing.

[15]  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.

[16]  Carl Q. Howard,et al.  The path of rolling elements in defective bearings: Observations, analysis and methods to estimate spall size , 2016 .

[17]  S. Mallat A wavelet tour of signal processing , 1998 .

[18]  Viresh Wickramasinghe,et al.  A Comparison Study Between Acoustic Sensors for Bearing Fault Detection Under Different Speed and Load Using a Variety of Signal Processing Techniques , 2011 .

[19]  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.

[20]  Robert X. Gao,et al.  Multi-scale enveloping spectrogram for vibration analysis in bearing defect diagnosis , 2009 .

[21]  S. Mallat VI – Wavelet zoom , 1999 .

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

[23]  C. Kamath,et al.  Undecimated Wavelet Transforms for Image De-noising , 2002 .

[24]  David L. Donoho,et al.  De-noising by soft-thresholding , 1995, IEEE Trans. Inf. Theory.

[25]  Yimin Shao,et al.  A New Model for the Relationship Between Vibration Characteristics Caused by the Time-Varying Contact Stiffness of a Deep Groove Ball Bearing and Defect Sizes , 2015 .

[26]  Aouni A. Lakis,et al.  Application of Cyclic Spectral Analysis in Diagnosis of Bearing Faults in Complex Machinery , 2015 .

[27]  Jan Flusser,et al.  Near infrared face recognition by combining Zernike moments and undecimated discrete wavelet transform , 2014, Digit. Signal Process..

[28]  Sadettin Orhan,et al.  Vibration monitoring for defect diagnosis of rolling element bearings as a predictive maintenance tool : Comprehensive case studies , 2006 .

[29]  Robert B. Randall,et al.  Vibration response of spalled rolling element bearings: Observations, simulations and signal processing techniques to track the spall size , 2011 .

[30]  Wei Jia,et al.  Identification of Bearing and Gear Tooth Damage in a Transmission System , 2009 .

[31]  Rajesh Kumar,et al.  Outer race defect width measurement in taper roller bearing using discrete wavelet transform of vibration signal , 2013 .

[32]  B. Tang,et al.  Bearing running state recognition based on non-extensive wavelet feature scale entropy and support vector machine , 2013 .

[33]  Xiaoli Zhang,et al.  Intelligent fault diagnosis of roller bearings with multivariable ensemble-based incremental support vector machine , 2015, Knowl. Based Syst..

[34]  J. Kingsbury The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance , 2004 .

[35]  Xiangyang Wang,et al.  A New Wavelet-based image denoising using undecimated discrete wavelet transform and least squares support vector machine , 2010, Expert Syst. Appl..

[36]  S. N. Panigrahi,et al.  Gear fault diagnosis using active noise cancellation and adaptive wavelet transform , 2014 .