A warning method for early weak failures of bearings is proposed based on symbolic time series analysis to address the problem in early warning of weak faults in bearings. The phase space of bearing vibration signals is reconstructed using C-C method and then segmented by k-means clustering. Then each segmented subinterval is given an unique symbol and the bearing vibration signals are transformed into a symbolic time series. Finally
a quantitative analysis of the symbolic time series is carried out through the Lempel-Ziv complexity. The algorithm's accuracy of the representation of the dynamic structure is verified using the Duffing equation as the study object
and its precision is up to 95.85%. A comparison with the conventional symbolic time series analysis methods shows that the proposed method has a better accuracy. Since the proposed algorithm is sensitive to the dynamical changes
it is applied in the bearing state monitoring. Experimental results show that the algorithm can discover the early feeble wear-out failures of bearings and realizes the monitoring of whole life performance degradation.
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ALAMDARI M M, SAMALI B, LI J C. Damage localization based on symbolic time series analysis [J]. Structural Control and Health Monitoring, 2015, 22(2): 374-393.
ZHANG Hua, ZENG Wentao, YAN Wei. Fault diagnosis of hydraulic pump based on symbolic dynamic entropy and SVM [J]. Journal of Vibration, Measurement and Diagnosis, 2017, 37(2): 288-293.
SARKAR S, MUKHERJEE K, JIN Xin, et al. Optimization of symbolic feature extraction for pattern classification [J]. Signal Processing, 2012, 92(3): 625-635.
GUPTA S, RAY A, KELLER E. Symbolic time series analysis of ultrasonic data for early detection of fatigue damage [J]. Mechanical Systems and Signal Processing, 2007, 21(2): 866-884.
PARK J Y, KWON D. Detection of failure precursors in multilayer ceramic capacitors based on symbolic time series analysis [J]. Nanoscience and Nanotechnology Letters, 2016, 8(1): 75-80.
ANITA S A, NICHOLAS W. Symbolization of time-series: an evaluation of SAX, persist, and ACA [C]∥ 2011 4th International Congress on Image and Signal Processing. Piscataway, NJ, USA: IEEE, 2011: 2223-2228.
HOU Fengzhen, HUANG Xialin, CHEN Ying. Combination of equiprobable symbolization and time reversal asymmetry for heartbeat interval series analysis [J]. Physical Review: E Statistical, Nonlinear and Soft Matter Physics, 2013, 87(1): 012908.
GUERRA-FILHO G, ALOIMONOS Y. A language for human action [J]. Computer, 2007, 40(5): 42-51.
ZINNEN A, LAERHOVEN K V, SCHIELE B. Toward recognition of short and non-repetitive activities from wearable sensors [C]∥ European Conference on Ambient Intelligence. Berlin Germany: Springer-Verlag, 2007: 142-158.
SANT A A, WICKSTRO N. A symbol-based approach to gait analysis from acceleration signals: Identification and detection of gait events and a new measure of gait symmetry [J]. IEEE Transactions on Information Technology in Biomedicine, 2010, 14(5): 1180 -1187.
LU Zhenbo, CAI Zhiming, JIANG Keyu. Determination of embedding parameters for phase space reconstruction based on improved C-C method [J]. Journal of System Simulation, 2007, 19(11): 2527-2538.
LI Wu, ZHAO Jiaoyan, YAN Taishan. Improved k-均值聚类算法 [J]. 控制与决策. 2017, 32(4): 759-762.
LI Wu, ZHAO Jiaoyan, YAN Taishan. Improved ans clustering algorithm optimizing initial clustering centers based on average different degree [J]. Control and Dicesion, 2017, 32(4): 759-762.
QIU H, LEE J, LIN J, et al. Wavelet filter-based weak signature detection method and its application on rolling element bearing prognostics [J]. Journal of Sound and Vibration, 2006, 289(4/5): 1066-1090.