Abstract
A new fault diagnosis technique for rolling element bearing using multi-scale Lempel-Ziv complexity (LZC) and Mahalanobis distance (MD) criterion is proposed in this study. A multi-scale coarse-graining process is used to extract fault features for various bearing fault conditions to overcome the limitation of the single stage coarse-graining process in the LZC algorithm. This is followed by the application of MD criterion to calculate the accuracy rate of LZC at different scales, and the best scale corresponding to the maximum accuracy rate is identified for fault pattern recognition. A comparison analysis with Euclidean distance (ED) criterion is also presented to verify the superiority of the proposed method. The result confirms that the fault diagnosis technique using a multi-scale LZC and MD criterion is more effective in distinguishing various fault conditions of rolling element bearings.
Access this article
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
Similar content being viewed by others
References
CONG F Y, CHEN J, DONG G G, et al. Short-time matrix series based singular value decomposition for rolling bearing fault diagnosis [J]. Mechanical Systems and Signal Processing, 2013, 34: 218–230.
KOLMOGOROV A N. Three approaches to the quantitative definition of information [J]. Problemy Peredachi Informatsii, 1965, 1(1): 3–11.
KOLMOGOROV A N. Logical basis for information theory and probability theory [J]. IEEE Transactions on Information Theory, 1968, 14(5): 662–664.
KOLMOGOROV A N. Combinatorial foundations of information theory and the calculus of probabilities [J]. Russian Mathematical Surveys, 1983, 38(4): 27–36.
LEMPEL A, ZIV J. On the complexity of finite sequences [J]. IEEE Transactions on Information Theory, 1976, 22(1): 75–81.
YANG X B, JIN X Q, DU Z M, et al. A novel model-based fault detection method for temperature sensor using fractal correlation dimension [J]. Building and Environment, 2011, 46(46): 970–979.
HE Y Y, HUANG J, ZHANG B. Approximate entropy as a nonlinear feature parameter for fault diagnosis in rotating machinery [J]. Measurement Science and Technology, 2012, 23(4): 45603.
HAN M H, PAN J L. A fault diagnosis method combined with LMD, sample entropy and energy ratio for roller bearings [J]. Measurement, 2015, 76: 7–19.
YAN R Q, GAO R X. Complexity as a measure for machine health evaluation [J]. IEEE Transactions on Instrumentation and Measurement, 2004, 53(4): 1327–1334.
HONG H B, LIANG M. Fault severity assessment for rolling element bearings using the Lempel-Ziv complexity and continuous wavelet transform [J]. Journal of Sound and Vibration, 2009, 320(1/2): 452–468.
MOEENDARBARY E, NG T Y, ZANGENEH M. Dissipative particle dynamics: Introduction, methodology and complex fluid applications—A review [J]. International Journal of Applied Mechanics, 2012, 1(4): 737–763.
VERVERIDIS D, KOTROPOULOS C. Gaussian mixture modeling by exploiting the Mahalanobis distance [J]. IEEE Transactions on Signal Processing, 2008, 56(7): 2797–2811.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: the National Natural Science Foundation of China (No. 51075220), the Special Research Fund for the Higher Education Doctoral Program (No. 20123721110001), the Basic Research Project of Qingdao Science and Technology Plan (No. 12-1-4-4- (3)-JCH), and the Privileged Shandong Provincial Government’s “Taishan Scholar” Program
Rights and permissions
About this article
Cite this article
Yu, K., Tan, J. & Lin, T. Fault Diagnosis of Rolling Element Bearing Using Multi-Scale Lempel-Ziv Complexity and Mahalanobis Distance Criterion. J. Shanghai Jiaotong Univ. (Sci.) 23, 696–701 (2018). https://doi.org/10.1007/s12204-018-1965-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12204-018-1965-2
Key words
- fault diagnosis
- rolling element bearing
- Lempel-Ziv complexity (LZC)
- Mahalanobis distance (MD) criterion