Automatic detection of cracked rotors combining multiresolution analysis and artificial neural networks

In the maintenance of motor driven systems, detection of cracks in shafts play a critical role. Condition monitoring and fault diagnostics detect and distinguish different kinds of machinery faults, and provide a significant improvement in maintenance efficiency. In this study, we apply the discrete wavelet transform theory and multiresolution analysis (MRA) to vibration signals to find characteristic patterns of shafts with a transversal crack. The feature vectors generated are used as input to an intelligent classification system based on artificial neural networks (ANNs). Wavelet theory provides signal timescale information, and enables the extraction of significant features from vibration signals that can be used for damage detection. The feature vectors generated for every fault condition feed a radial basis function neural network (ANN-RBF) and apply supervised learning designed and adapted for different fault crack conditions. Together, MRA and RBF constitute an automatic monitoring system with a fast diagnosis online capability. The proposed method is applied to simulated numerical signals to prove its soundness. The numerical data are acquired from a modified Jeffcott Rotor model with four transverse breathing crack sizes. The results demonstrate that this novel diagnostic method that combines wavelets and an artificial neural network is an efficient tool for the automatic detection of cracks in rotors.

[1]  Qiao Hu,et al.  Fault diagnosis of rotating machinery based on improved wavelet package transform and SVMs ensemble , 2007 .

[2]  Qinkai Han,et al.  Dynamic analysis of a geared rotor system considering a slant crack on the shaft , 2012 .

[3]  Andrew D. Dimarogonas,et al.  Vibration of cracked structures: A state of the art review , 1996 .

[4]  Paolo Pennacchi,et al.  Crack effects in rotordynamics , 2008 .

[5]  Ali Cinar,et al.  Statistical process monitoring and disturbance diagnosis in multivariable continuous processes , 1996 .

[6]  Jon Rigelsford Handbook of Neural Network Signal Processing , 2003 .

[7]  P. N. Saavedra,et al.  Vibration Analysis of Rotor for Crack Identification , 2002 .

[8]  Mo-Yuen Chow Methodologies of Using Neural Network and Fuzzy Logic Technologies for Motor Incipient Fault Detection , 1998 .

[9]  Cristina Castejón,et al.  Automated diagnosis of rolling bearings using MRA and neural networks , 2010 .

[10]  C. McGreavy,et al.  Application of wavelets and neural networks to diagnostic system development , 1999 .

[11]  Grzegorz Litak,et al.  Intermittent Behaviour of a Cracked Rotor in the Resonance Region , 2008, 0804.2433.

[12]  Athanasios Chasalevris,et al.  Applying neural networks, genetic algorithms and fuzzy logic for the identification of cracks in shafts by using coupled response measurements , 2008 .

[13]  K. S. Srinivasan,et al.  Role of an Artificial Neural Network and a Wavelet Transform for Condition Monitoring of the Combined Faults of Unbalance and Cracked Rotors , 2010 .

[14]  Paolo Pennacchi,et al.  Some remarks on breathing mechanism, on non-linear effects and on slant and helicoidal cracks , 2008 .

[15]  I. Daubechies Orthonormal bases of compactly supported wavelets , 1988 .

[16]  Andrew D. Dimarogonas,et al.  Coupled longitudinal and bending vibrations of a rotating shaft with an open crack , 1987 .

[17]  Bimlesh Kumar,et al.  Identification of crack location and crack size in a simply supported beam by measurement of natural frequencies , 2012 .

[18]  A. K. Wadhwani,et al.  Development of EBP-Artificial neural network expert system for rolling element bearing fault diagnosis , 2011 .

[19]  R. Gasch,et al.  A Survey Of The Dynamic Behaviour Of A Simple Rotating Shaft With A Transverse Crack , 1993 .

[20]  Jerzy T. Sawicki,et al.  Rigid Finite Element Model of a Cracked Rotor , 2012 .

[21]  A. Messina,et al.  On the continuous wavelet transforms applied to discrete vibrational data for detecting open cracks in damaged beams , 2003 .

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

[23]  W. J. Staszewski Vibration data compression with optimal wavelet coefficients , 1997 .

[24]  Robert Gasch,et al.  Dynamic behaviour of the Laval rotor with a transverse crack , 2008 .

[25]  R. Gordon Kirk,et al.  Cracked shaft detection and diagnostics: A literature review , 2004 .

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

[27]  Bimlesh Kumar,et al.  Theoretical and experimental study for identification of crack in cantilever beam by measurement of natural frequencies , 2011 .

[28]  Yukio Ishida Cracked rotors: Industrial machine case histories and nonlinear effects shown by simple Jeffcott rotor , 2008 .

[29]  K. Loparo,et al.  Bearing fault diagnosis based on wavelet transform and fuzzy inference , 2004 .

[30]  Shih-Fu Ling,et al.  Machinery Diagnosis Based on Wavelet Packets , 1997 .

[31]  C. A. Papadopoulos,et al.  The strain energy release approach for modeling cracks in rotors: A state of the art review , 2008 .

[32]  Fanrang Kong,et al.  Fault diagnosis of rotating machinery based on the statistical parameters of wavelet packet paving and a generic support vector regressive classifier , 2013 .

[33]  Jin H. Huang,et al.  Detection of cracks using neural networks and computational mechanics , 2002 .

[34]  M. Feldman,et al.  Damage Diagnosis of Rotors: Application of Hilbert Transform and Multihypothesis Testing , 1999 .

[35]  P. D. McFadden,et al.  APPLICATION OF WAVELETS TO GEARBOX VIBRATION SIGNALS FOR FAULT DETECTION , 1996 .

[36]  Young-Shin Lee,et al.  A study on crack detection using eigenfrequency test data , 2000 .

[37]  Yuan Yan Tang,et al.  Wavelet Theory and Its Application to Pattern Recognition , 2000, Series in Machine Perception and Artificial Intelligence.

[38]  Wenbo Lu,et al.  Application of a near-field acoustic holography-based diagnosis technique in gearbox fault diagnosis , 2013 .

[39]  A. S. Sekhar,et al.  Condition monitoring of cracked rotors through transient response , 1998 .

[40]  Guang Meng,et al.  Wavelet Transform-based Higher-order Statistics for Fault Diagnosis in Rolling Element Bearings: , 2008 .

[41]  J. Sanz,et al.  Fault diagnosis of rotating machinery based on auto-associative neural networks and wavelet transforms , 2007 .

[42]  C. Nagaraju,et al.  Application of 3D wavelet transforms for crack detection in rotor systems , 2009 .

[43]  Yanhui Feng,et al.  Normalized wavelet packets quantifiers for condition monitoring , 2009 .