Mathematical morphology (MM) is an efficient nonlinear signal processing tool. It can be adopted to extract fault information from bearing signal according to a structuring element (SE). Since the bearing signal features differ for every unique cause of failure, the SEs should be well tailored to extract the fault feature from a particular signal. In the following, a signal based triangular SE according to the statistics of the magnitude of a vibration signal is proposed, together with associated methodology, which processes the bearing signal by MM analysis based on proposed SE to get the morphology spectrum of a signal. A correlation analysis on morphology spectrum is then employed to obtain the final classification of bearing faults. The classification performance of the proposed method is evaluated by a set of bearing vibration signals with inner race, ball, and outer race faults, respectively. Results show that all faults can be detected clearly and correctly. Compared with a commonly used flat SE, the correlation analysis on morphology spectrum with proposed SE gives better performance at fault diagnosis of bearing, especially the identification of the location of outer race fault and the level of fault severity. 1. Introduction Rolling element bearings are one of the most important and common components in rotating machinery. Their carrying capacity and reliability are essential for the overall machine performance. Therefore the fault diagnosis of rolling element bearing has been studied intensively for the security of mechanical systems [1]. When a fault in one surface of a bearing strikes another surface, a force impulse is generated which excites some vibration response in the bearing and machine system. The vibration response can be obtained and converted into vibration signal. As most information concerning the fault feature is contained in vibration signal, the vibration-based bearing fault diagnosis method has attracted extensive interests from both academia and industry [2, 3]. The vibration signals, usually indirect and nonlinear, are additionally masked by noise. Therefore an accurate signal processing and final diagnosis largely depend on the extraction of feature information from vibration signals. A number of studies have been conducted on vibration signal processing [4]. The most accepted approach for the demodulation and feature extraction of vibration signal, the envelope analysis (EA) technique [5, 6], has been widely used in the detection of mechanical failures since 1980s. However, a prior knowledge of the filtering band is
References
[1]
C. Li, M. Liang, Y. Zhang, and S. Hou, “Multi-scale autocorrelation via morphological wavelet slices for rolling element bearing fault diagnosis,” Mechanical Systems and Signal Processing, vol. 31, pp. 428–446, 2012.
[2]
C. Li and M. Liang, “Continuous-scale mathematical morphology-based optimal scale band demodulation of impulsive feature for bearing defect diagnosis,” Journal of Sound and Vibration, vol. 331, no. 26, pp. 5864–5879, 2012.
[3]
N. Tandon and A. Choudhury, “Review of vibration and acoustic measurement methods for the detection of defects in rolling element bearings,” Tribology International, vol. 32, no. 8, pp. 469–480, 1999.
[4]
R. B. Randall and J. Antoni, “Rolling element bearing diagnostics—a tutorial,” Mechanical Systems and Signal Processing, vol. 25, no. 2, pp. 485–520, 2011.
[5]
B. Li, P.-L. Zhang, Z.-J. Wang, S.-S. Mi, and Y.-T. Zhang, “Gear fault detection using multi-scale morphological filters,” Measurement, vol. 44, no. 10, pp. 2078–2089, 2011.
[6]
P. D. McFadden and J. D. Smith, “Vibration monitoring of rolling element bearings by the high-frequency resonance technique—a review,” Tribology International, vol. 17, no. 1, pp. 3–10, 1984.
[7]
N. G. Nikolaou and I. A. Antoniadis, “Demodulation of vibration signals generated by defects in rolling element bearings using complex shifted Morlet wavelets,” Mechanical Systems and Signal Processing, vol. 16, no. 4, pp. 677–694, 2002.
[8]
Y.-T. Sheen, “On the study of applying Morlet wavelet to the Hilbert transform for the envelope detection of bearing vibrations,” Mechanical Systems and Signal Processing, vol. 23, no. 5, pp. 1518–1527, 2009.
[9]
Z. Peng, F. Chu, and Y. He, “Vibration signal analysis and feature extraction based on reassigned wavelet scalogram,” Journal of Sound and Vibration, vol. 253, no. 5, pp. 1087–1100, 2003.
[10]
Z. K. Peng, P. W. Tse, and F. L. Chu, “A comparison study of improved Hilbert-Huang transform and wavelet transform: application to fault diagnosis for rolling bearing,” Mechanical Systems and Signal Processing, vol. 19, no. 5, pp. 974–988, 2005.
[11]
B. Li, P.-L. Zhang, Z.-J. Wang, S.-S. Mi, and D.-S. Liu, “A weighted multi-scale morphological gradient filter for rolling element bearing fault detection,” ISA Transactions, vol. 50, no. 4, pp. 599–608, 2011.
[12]
N. E. Huang, Z. Shen, S. R. Long et al., “The empirical mode decomposition and the Hubert spectrum for nonlinear and non-stationary time series analysis,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 454, no. 1971, pp. 903–995, 1998.
[13]
A.-O. Boudraa and J.-C. Cexus, “EMD-based signal filtering,” IEEE Transactions on Instrumentation and Measurement, vol. 56, no. 6, pp. 2196–2202, 2007.
[14]
J. Cheng, D. Yu, and Y. Yang, “Application of support vector regression machines to the processing of end effects of Hilbert-Huang transform,” Mechanical Systems and Signal Processing, vol. 21, no. 3, pp. 1197–1211, 2007.
[15]
P. Maragos and R. W. Schafer, “Morphological filters—part I: their set-theoretic analysis and relations to linear shift invariant filters,” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 35, no. 8, pp. 1153–1169, 1987.
[16]
G. Matheron, Random Sets and Integral Geometry, John Wiley & Sons, New York, NY, USA, 1975.
[17]
J. Serra, Image Analysis and Mathematical Morphology, Academic Press, New York, NY, USA, 1982.
[18]
A. Hu, G. Tang, and L. An, “De-noising technique for vibration signals of rotating machinery based on mathematical morphology filter,” Chinese Journal of Mechanical Engineering, vol. 42, no. 4, pp. 127–130, 2006.
[19]
H. Li and D.-Y. Xiao, “Fault diagnosis using pattern classification based on one-dimensional adaptive rank-order morphological filter,” Journal of Process Control, vol. 22, no. 2, pp. 436–449, 2012.
[20]
J. Wang, G. Xu, Q. Zhang, and L. Liang, “Application of improved morphological filter to the extraction of impulsive attenuation signals,” Mechanical Systems and Signal Processing, vol. 23, no. 1, pp. 236–245, 2009.
[21]
L. Zhang, D. Yang, J. Xu, and Z. Chen, “Approach to extracting gear fault feature based on mathematical morphological filtering,” Chinese Journal of Mechanical Engineering, vol. 43, no. 2, pp. 71–75, 2007.
[22]
N. G. Nikolaou and I. A. Antoniadis, “Application of morphological operators as envelope extractors for impulsive-type periodic signals,” Mechanical Systems and Signal Processing, vol. 17, no. 6, pp. 1147–1162, 2003.
[23]
Y. Dong, M. Liao, X. Zhang, and F. Wang, “Faults diagnosis of rolling element bearings based on modified morphological method,” Mechanical Systems and Signal Processing, vol. 25, no. 4, pp. 1276–1286, 2011.
[24]
L. Zhang, J. Xu, J. Yang, D. Yang, and D. Wang, “Multiscale morphology analysis and its application to fault diagnosis,” Mechanical Systems and Signal Processing, vol. 22, no. 3, pp. 597–610, 2008.
[25]
S. Ouyang and J. Wang, “A new morphology method for enhancing power quality monitoring system,” International Journal of Electrical Power and Energy Systems, vol. 29, no. 2, pp. 121–128, 2007.
[26]
R. Hao, Z. Feng, and F. Chu, “Defects diagnosis and classification for rolling bearing based on mathematical morphology,” in Proceedings of the 8th International Conference on Reliability, Maintainability and Safety (ICRMS '09), pp. 817–821, Chengdu, China, July 2009.
[27]
K. A. Loparo, “Bearings vibration data set, Case Western Reserve University,” http://csegroups.case.edu/bearingdatacenter/pages/download-data-file.
[28]
W. Zhang, X. Zhou, and Y. Lin, “Application of morphological filter in pulse noise removing of vibration signal,” in Proceedings of the 1st International Congress on Image and Signal Processing (CISP '08), pp. 132–135, Sanya, China, May 2008.
[29]
W. Sun, G. A. Yang, Q. Chen, et al., “Fault diagnosis of rolling bearing based on wavelet transform and envelope spectrum correlation,” Journal of Vibration and Control, 2012.
[30]
Q. Chen, Z. W. Chen, W. Sun, et al., “A new structuring element for multi-scale morphology analysis and its application in rolling element bearing fault diagnosis,” Journal of Vibration and Control, 2013.
[31]
N. Sawalhi, R. B. Randall, and H. Endo, “The enhancement of fault detection and diagnosis in rolling element bearings using minimum entropy deconvolution combined with spectral kurtosis,” Mechanical Systems and Signal Processing, vol. 21, no. 6, pp. 2616–2633, 2007.
[32]
C. Li and J. Cheng, “Mathematical morphological filter and its application in removing noises in vibration signal,” in Proceedings of the 8th International Conference on Electronic Measurement and Instruments (ICEMI '07), vol. 4, pp. 101–104, Xian, China, August 2007.
[33]
R. Hao and F. Chu, “Morphological undecimated wavelet decomposition for fault diagnostics of rolling element bearings,” Journal of Sound and Vibration, vol. 320, no. 4-5, pp. 1164–1177, 2009.