Bearing fault diagnosis based on spectrum image sparse representation of vibration signal

Bearings are crucial for industrial production and susceptible to malfunction in rotating machines. Image analysis can give a comprehensive description of vibration signal, thus, it has achieved much more attention recently in fault diagnosis field. However, it brings lots of redundant information from a single spectrum image matrix behind rich fault information, and massive spectrum image samples lead to exacerbation of this situation, which readily results in the accuracy-dropping problem of multiple local defective bearings diagnosis. To solve this issue, a novel feature extraction method based on image sparse representation is proposed. Original spectrum images are acquired through fast Fourier transformation. Sparse coefficient that reveals the underlying structure of spectrum image based on raw signals is extracted as the feature by implementing the orthogonal matching pursuit and K-singular value decomposition algorithm strategically, and then two-dimensional principal component analysis is applied for further processing of these features. Finally, fault types are identified based on a minimum distance strategy. The experimental results are given to demonstrate the effectiveness of the proposed method.

[1]  Haifeng Tang,et al.  Sparse representation based latent components analysis for machinery weak fault detection , 2014 .

[2]  Junyan Yang,et al.  Intelligent fault diagnosis of rolling element bearing based on SVMs and fractal dimension , 2007 .

[3]  Stéphane Mallat,et al.  Matching pursuits with time-frequency dictionaries , 1993, IEEE Trans. Signal Process..

[4]  Michael Elad,et al.  K-SVD dictionary-learning for the analysis sparse model , 2012, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[5]  Renata Klein,et al.  Bearing diagnostics using image processing methods , 2014 .

[6]  Zi-Quan Hong,et al.  Algebraic feature extraction of image for recognition , 1991, Pattern Recognit..

[7]  A. S. Sekhar,et al.  Hilbert–Huang transform for detection and monitoring of crack in a transient rotor , 2008 .

[8]  Huibin Lin,et al.  Fault feature extraction of rolling element bearings using sparse representation , 2016 .

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

[10]  Benwei Li,et al.  Supervised locally linear embedding projection (SLLEP) for machinery fault diagnosis , 2011 .

[11]  Liang Guo,et al.  Machinery vibration signal denoising based on learned dictionary and sparse representation , 2015 .

[12]  Qingbo He,et al.  Sparse representation based on local time–frequency template matching for bearing transient fault feature extraction , 2016 .

[13]  Han Zhang,et al.  Compressed sensing based on dictionary learning for extracting impulse components , 2014, Signal Process..

[14]  Li Wei,et al.  医用ハイパースペクトル画像における血液細胞分類を行う平列計算 | 文献情報 | J-GLOBAL 科学技術総合リンクセンター , 2016 .

[15]  Anoushiravan Farshidianfar,et al.  Rolling element bearings multi-fault classification based on the wavelet denoising and support vector machine , 2007 .

[16]  J. Antoni The spectral kurtosis: a useful tool for characterising non-stationary signals , 2006 .

[17]  Geoffrey E. Hinton,et al.  Visualizing Data using t-SNE , 2008 .

[18]  Dejie Yu,et al.  A new rolling bearing fault diagnosis method based on GFT impulse component extraction , 2016 .

[19]  Michael Elad,et al.  Analysis K-SVD: A Dictionary-Learning Algorithm for the Analysis Sparse Model , 2013, IEEE Transactions on Signal Processing.

[20]  Satish Nagarajaiah,et al.  Structural damage identification via a combination of blind feature extraction and sparse representation classification , 2014 .

[21]  Y. C. Pati,et al.  Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

[22]  Guang-Ming Xian,et al.  An intelligent fault diagnosis method based on wavelet packer analysis and hybrid support vector machines , 2009, Expert Syst. Appl..

[23]  Gérard-André Capolino,et al.  Advances in Diagnostic Techniques for Induction Machines , 2008, IEEE Transactions on Industrial Electronics.

[24]  Yaguo Lei,et al.  Application of an improved kurtogram method for fault diagnosis of rolling element bearings , 2011 .

[25]  Wei Li,et al.  Bearing fault diagnosis based on spectrum images of vibration signals , 2015, ArXiv.

[26]  Yi Qin,et al.  Vibration signal component separation by iteratively using basis pursuit and its application in mechanical fault detection , 2013 .

[27]  A. S. Sekhar,et al.  Fault detection in rotor bearing systems using time frequency techniques , 2016 .

[28]  Shih-Fu Ling,et al.  Bearing failure detection using matching pursuit , 2002 .

[29]  Qin Yang,et al.  Sparse classification of rotating machinery faults based on compressive sensing strategy , 2015 .

[30]  Wei Zhang,et al.  A New Deep Learning Model for Fault Diagnosis with Good Anti-Noise and Domain Adaptation Ability on Raw Vibration Signals , 2017, Sensors.

[31]  Salah Saad,et al.  Adaptive fault diagnosis in rotating machines using indicators selection , 2013 .

[32]  Joel A. Tropp,et al.  Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit , 2007, IEEE Transactions on Information Theory.

[33]  Bing He,et al.  Feature fusion using kernel joint approximate diagonalization of eigen-matrices for rolling bearing fault identification , 2016 .

[34]  Alberto Bellini,et al.  Fault Detection of Linear Bearings in Brushless AC Linear Motors by Vibration Analysis , 2011, IEEE Transactions on Industrial Electronics.

[35]  Qinghua Hu,et al.  Mechanical fault diagnosis based on redundant second generation wavelet packet transform, neighborhood rough set and support vector machine , 2012 .

[36]  M. Elad,et al.  $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation , 2006, IEEE Transactions on Signal Processing.

[37]  Chen Lu,et al.  Fault diagnosis of gearbox using empirical mode decomposition and multi-fractal detrended cross-correlation analysis , 2016 .