Vibration condition monitoring of planetary gears based on decision level data fusion using Dempster-Shafer theory of evidence

In recent years, due to increasing requirement for reliability of industrial machines, fault diagnosis using data fusion methods has become widely applied. To recognize crucial faults of mechanical systems with high confidence, indubitably decision level fusion techniques are the foremost procedure among other data fusion methods. Therefore, in this paper in order to improve the fault diagnosis accuracy of planetary gearbox, we proposed a representative data fusion approach which exploits Support Vector Machine (SVM) and Artificial Neural Network (ANN) classifiers and Dempster-Shafer (D-S) evidence theory for classifier fusion. We assumed the SVM and ANN classifiers as fault diagnosis subsystems as well. Then output values of the subsystems were regarded as input values of decision fusion level module. First, vibration signals of a planetary gearbox were captured for four different conditions of gear. Obtained signals were transmitted from time domain to time-frequency domain using wavelet transform. In next step, some statistical features of time-frequency domain signals were extracted which were used as classifiers input. The gained results of every fault diagnosis subsystem were considered as basic probability assignment (BPA) of D-S evidence theory. Classification accuracy for the SVM and ANN subsystems was determined as 80.5 % and 74.6 % respectively. Then, by using the D-S theory rules for classifier fusion, ultimate fault diagnosis accuracy was gained as 94.8 %. Results show that proposed method for vibration condition monitoring of planetary gearbox based on D-S theory provided a much better accuracy. Furthermore, an increase of more than 14 % accuracy demonstrates the strength of D-S theory method in decision fusion level fault diagnosis.

[1]  Bo-Suk Yang,et al.  Application of Dempster–Shafer theory in fault diagnosis of induction motors using vibration and current signals , 2006 .

[2]  Mahmoud Omid,et al.  Vibration-based fault diagnosis of hydraulic pump of tractor steering system by using energy technique. , 2009 .

[3]  Kari Sentz,et al.  Combination of Evidence in Dempster-Shafer Theory , 2002 .

[4]  Jian Yang,et al.  Feature fusion: parallel strategy vs. serial strategy , 2003, Pattern Recognit..

[5]  Gang Niu,et al.  Multi-agent decision fusion for motor fault diagnosis , 2007 .

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

[7]  Sargur N. Srihari,et al.  Decision Combination in Multiple Classifier Systems , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[8]  Yu Jin-shou Fault Diagnosis Based on Support Vector Machine , 2004 .

[9]  Xianfeng Fan,et al.  Fault diagnosis of machines based on D-S evidence theory. Part 1: D-S evidence theory and its improvement , 2006, Pattern Recognit. Lett..

[10]  D. L. Hall,et al.  Mathematical Techniques in Multisensor Data Fusion , 1992 .

[11]  Gang Niu,et al.  Dempster–Shafer regression for multi-step-ahead time-series prediction towards data-driven machinery prognosis , 2009 .

[12]  Jiri Matas,et al.  On Combining Classifiers , 1998, IEEE Trans. Pattern Anal. Mach. Intell..

[13]  Corinna Cortes,et al.  Support-Vector Networks , 1995, Machine Learning.

[14]  Mohamed A. Deriche,et al.  A New Technique for Combining Multiple Classifiers using The Dempster-Shafer Theory of Evidence , 2002, J. Artif. Intell. Res..

[15]  Jian-Da Wu,et al.  Faulted gear identification of a rotating machinery based on wavelet transform and artificial neural network , 2009, Expert Syst. Appl..

[16]  Xiaohong Yuan,et al.  Engine fault diagnosis based on multi-sensor information fusion using Dempster-Shafer evidence theory , 2007, Inf. Fusion.

[17]  J.M. Dias Pereira,et al.  Study on Information Fusion Based on Wavelet Neural Network and Evidence Theory in Fault Diagnosis , 2007, 2007 8th International Conference on Electronic Measurement and Instruments.

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

[19]  Brian A. Baertlein,et al.  Feature-Level and Decision-Level Fusion of Noncoincidently Sampled Sensors for Land Mine Detection , 2001, IEEE Trans. Pattern Anal. Mach. Intell..

[20]  D. S. Tracy,et al.  Bayesian statistical inference in the paretian law , 1987 .

[21]  Bo-Suk Yang,et al.  Wavelet support vector machine for induction machine fault diagnosis based on transient current signal , 2008, Expert Syst. Appl..

[22]  Pascal Vasseur,et al.  Introduction to Multisensor Data Fusion , 2005, The Industrial Information Technology Handbook.

[23]  Mahmoud Omid,et al.  An Intelligent Combined Method Based on Power Spectral Density, Decision Trees and Fuzzy Logic for Hydraulic Pumps Fault Diagnosis , 2008 .

[24]  R. Yager On the dempster-shafer framework and new combination rules , 1987, Inf. Sci..

[25]  William Stafford Noble,et al.  Support vector machine , 2013 .

[26]  Hai Zhao,et al.  Neural Network Integration Fusion Model and Application , 2007, Third International Conference on Natural Computation (ICNC 2007).

[27]  H. Ahmadi,et al.  Implementing discrete wavelet transform and artificial neural networks for acoustic condition monitoring of gearbox , 2012 .

[28]  Jonathan A. Keller,et al.  Detection of a fatigue crack in a UH-60A planet gear carrier using vibration analysis , 2006 .

[29]  Glenn Shafer Probability Judgement in Artificial Intelligence , 2013, ArXiv.

[30]  S. Khorram,et al.  Data fusion using artificial neural networks: a case study on multitemporal change analysis , 1999 .

[31]  Radoslaw Zimroz,et al.  Vibration condition monitoring of planetary gearbox under varying external load , 2009 .

[32]  Mongi A. Abidi,et al.  Data fusion in robotics and machine intelligence , 1992 .

[33]  Geok Soon Hong,et al.  Wavelet analysis of sensor signals for tool condition monitoring: A review and some new results , 2009 .

[34]  P. D. McFadden A technique for calculating the time domain averages of the vibration of the individual planet gears and the sun gear in an epicyclic gearbox , 1991 .

[35]  D. L. Hall,et al.  Survey of commercial software for multisensor data fusion , 1993, Defense, Security, and Sensing.