Intelligent fault diagnosis of rolling element bearing based on SVMs and fractal dimension

被引:217
作者
Yang, Junyan [1 ]
Zhang, Youyun [1 ]
Zhu, Yongsheng [1 ]
机构
[1] Xi An Jiao Tong Univ, Educ Minist, Key Lab Modern Design & Rotor Bearing Syst, Xian 710049, Peoples R China
基金
中国国家自然科学基金;
关键词
fractal dimension; support vector machines; time domain statistical feature; feature extraction; fault diagnosis;
D O I
10.1016/j.ymssp.2006.10.005
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The development of non-linear dynamic theory brought a new method for recognising and predicting the complex nonlinear dynamic behaviour. Fractal dimension can quantitatively describe the non-linear behaviour of vibration signal. In the present paper, the capacity dimension, information dimension and correlation dimension are applied to classify various fault types and evaluate various fault conditions of rolling element bearing, and the classification performance of each fractal dimension and their combinations are evaluated by using SVMs. Experiments on 10 fault data sets showed that the classification performance of the single fractal dimension is quite poor on most data sets, and for a given data set, each fractal dimension exhibited different classification ability, this indicates that various fractal dimensions contain various fault information. Experiments on different combinations of the fractal dimensions demonstrated that the combination of all these three fractal dimensions gets the highest score, but the classification performance is still poor on some data sets. In order to improve the classification performance of the SVM further, I I time-domain statistical features are introduced to train the SVM together with three fractal dimensions, and the classification performance of the SVM is improved significantly. At the same time, experimental results showed that the classification performance of the SVM trained with I I time-domain statistical features in tandem with three fractal dimensions outperforms that of the SVM trained only with I I time-domain statistical features or with three fractal dimensions. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2012 / 2024
页数:13
相关论文
共 26 条
[1]  
Boser B. E., 1992, Proceedings of the Fifth Annual ACM Workshop on Computational Learning Theory, P144, DOI 10.1145/130385.130401
[2]   IMPRACTICALITY OF A BOX-COUNTING ALGORITHM FOR CALCULATING THE DIMENSIONALITY OF STRANGE ATTRACTORS [J].
GREENSIDE, HS ;
WOLF, A ;
SWIFT, J ;
PIGNATARO, T .
PHYSICAL REVIEW A, 1982, 25 (06) :3453-3456
[3]  
He Zhengjia, 1996, Proceedings of the IEEE International Conference on Industrial Technology (ICIT'96) (Cat. No.96TH8151), P724, DOI 10.1109/ICIT.1996.601690
[4]  
He ZJ., 2001, FAULT DIAGNOSIS PRIN
[5]  
Hsu Chih-Wei, PRACTICAL GUIDE SUPP
[6]   A comparison of methods for multiclass support vector machines [J].
Hsu, CW ;
Lin, CJ .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (02) :415-425
[7]   The application of correlation dimension in gearbox condition monitoring [J].
Jiang, JD ;
Chen, J ;
Qu, LS .
JOURNAL OF SOUND AND VIBRATION, 1999, 223 (04) :529-541
[8]   A FAST ALGORITHM TO DETERMINE FRACTAL DIMENSIONS BY BOX COUNTING [J].
LIEBOVITCH, LS ;
TOTH, T .
PHYSICS LETTERS A, 1989, 141 (8-9) :386-390
[9]   Using the correlation dimension for vibration fault diagnosis of rolling element bearings .1. Basic concepts [J].
Logan, D ;
Mathew, J .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 1996, 10 (03) :241-250
[10]   Using the correlation dimension for vibration fault diagnosis of rolling element bearings .2. Selection of experimental parameters [J].
Logan, DB ;
Mathew, J .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 1996, 10 (03) :251-264