Abstract
Vibration signals of rolling element bearings (REBs) contain substantial bearing motion state information. However, the property of nonlinear and nonstationary vibration signals decreases the diagnostic accuracy of REBs. To improve the accuracy of fault diagnosis for REBs, an ensemble approach based on ensemble empirical mode decomposition (EEMD), multi-scale permutation entropy (MPE), and backpropagation (BP) neural network optimized by genetic algorithm (GA) is proposed. Firstly, the REBs are decomposed into a set of intrinsic mode functions (IMFs) that contain various fault features by EEMD. The fault features of the first four IMFs are extracted by MPE, and the feature vectors are formed. Then, the BP neural network optimized by GA is utilized as a classifier for fault diagnosis to train and test the feature vector set, and the fault diagnosis of the REBs is realized in the form of probability output. Experimental results show that the proposed method can identify the fault pattern of the vibration signals of REBs precisely. Compared with the existing fault diagnosis methods, the proposed method can realize the fault diagnosis of REBs with 16 fault patterns, and demonstrates an excellent accuracy rate.
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References
Jin T, Yan C, Chen C, et al (2021) New domain adaptation method in shallow and deep layers of the CNN for bearing fault diagnosis under different working conditions. Int J Adv Manuf Technol 1-12.https://doi.org/10.1007/s00170-021-07385-9
Cheng Q, Qi B, Liu Z, Zhang C, Xue D (2019) An accuracy degradation analysis of ball screw mechanism considering time-varying motion and loading working conditions. Mech Mach Theory 134:1–23
Niu P, Cheng Q, Liu Z, Chu H (2021) A machining accuracy improvement approach for a horizontal machining center based on analysis of geometric error characteristics. Int J Adv Manuf Technol 112(9–10):2873–2887
Zhang Z, Cheng Q, Qi B, Tao Z (2021) A general approach for the machining quality evaluation of S-shaped specimen based on POS-SQP algorithm and Monte Carlo method. J Manuf Syst 60:553–568. https://doi.org/10.1016/j.jmsy.2021.07.020
Wang S, He J, Li G, Hao Q, Huang H (2021) Compilation method of CNC lathe cutting force spectrum based on kernel density estimation of G-SCE. Int J Adv Manuf Technol 1-12.https://doi.org/10.1007/s00170-021-07541-1
Feng Z, Liang M, Chu F (2013) Recent advances in time-frequency analysis methods for machinery fault diagnosis: a review with application examples. Mech Syst Signal Process 38(1):165–205
Lu Y, Huang Z (2020) A new hybrid model of sparsity empirical wavelet transform and adaptive dynamic least squares support vector machine for fault diagnosis of gear pump. Adv Mech Eng 12(5):1–8
Li H, Zhang Q, Qin X, Sun Y (2020) K-SVD-based WVD enhancement algorithm for planetary gearbox fault diagnosis under a CNN framework. Measurement Science and Technology 31: 025003.
Karlsson S, Yu J, Akay M (2000) Time-frequency analysis of myoelectric signals during dynamic contractions: a comparative study. IEEE Trans Biomed Eng 47(2):228–238
Huang N, Shen Z, Long S et al (1998) The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proceedings Mathematical Physical & Engineering Sciences 454(1971):903–995
Zhao H, Norden E (2009) A noise assisted data analysis method. Adv Adapt Data Anal 1(1):1–41
Lei Y, He Z, Zi Y (2009) Application of the EEMD method to rotor fault diagnosis of rotating machinery. Mech Syst Signal Process 23(4):1327–1338
Zhang X, Zhou J (2013) Multi-fault diagnosis for rolling element bearings based on ensemble empirical mode decomposition and optimized support vector machines. Mech Syst Signal Process 41(1–2):127–140
Yu Y, Li W, Sheng D et al (2015) A novel sensor fault diagnosis method based on modified ensemble empirical mode decomposition and probabilistic neural network [J]. Measurement 68:328–336
Jiang H, Li C, Li H (2013) An improved EEMD with multiwavelet packet for rotating machinery multi-fault diagnosis. Mech Syst Signal Process 36(2):225–239
Pincus S (1991) Approximate entropy as a measure of system complexity. Proc Natl Acad Sci USA 88(6):2297–2301
Richman J, Moorman J (2000) Physiological time-series analysis using approximate entropy and sample entropy. Am J Physiol Heart Circ Physiol 278(6):H2039-2049
Costa M, Goldberger A, Peng C (2002) Multiscale entropy analysis of complex physiologic time series. Physical Review Letters 89(6): 068102.
Costa M, Goldberger A, Peng C (2005) Multiscale entropy analysis of biological signals. Physical Review E 71(2): 021906.
Bandt C, Pompe B (2002) Permutation entropy: a natural complexity measure for time series. Physical Review Letters 88(17): 174102.
Aziz W, Arif M (2005) Multiscale permutation entropy of physiological time series. Proceedings of the 9th International Multitopic Conference 368–373.
Wu S, Wu P, Wu C et al (2012) Bearing fault diagnosis based on multiscale permutation entropy and support vector machine. Entropy 14(8):1343–1356
Li Y, Xu M, Wei Y et al (2016) A new rolling bearing fault diagnosis method based on multiscale permutation entropy and improved support vector machine based binary tree. Measurement 77:80–94
Zhao L, Wang L, Yan R (2015) Rolling bearing fault diagnosis based on wavelet packet decomposition and multi-scale permutation entropy. Entropy 17(9):6447–6461
Tiwari R, Gupta V, Kankar P (2015) Bearing fault diagnosis based on multi-scale permutation entropy and adaptive neuro fuzzy classifier. J Vib Control 21(3):461–467
Wang S, Zhang N, Wu L et al (2016) Wind speed forecasting based on the hybrid ensemble empirical mode decomposition and GA-BP neural network method. Renewable Energy 94:629–636
Montana D, Davis L (1989) Training feedforward neural networks using genetic algorithms// Proc. of International Joint Conference on Artificial Intelligence 762–767.
Sun H, Sun L, Liang Y, et al (2005) The module fault diagnosis of power transformer based on GA-BP algorithm// International Conference on Machine Learning and Cybernetics. IEEE 3: 1596–1598.
Zheng F, Zeng L, Lu Y et al (2015) Fault diagnosis research for servo valve based on GA-BP neural network. J Comput Theor Nanosci 12(9):2846–2850
Guo Z, Zhao W, Lu H et al (2012) Multi-step forecasting for wind speed using a modified EMD-based artificial neural network model. Renewable Energy 37(1):241–249
Ambikairajah E (2008) Emerging features for speaker recognition// International Conference on Information, Communications & Signal Processing. IEEE 1–7.
Lei Y, He Z, Zi Y (2011) EEMD method and WNN for fault diagnosis of locomotive roller bearings. Expert Syst Appl 38(6):7334–7341
Case Western Reserve University Bearing Data Center. [Online]. Available: http://csegroups.case.edu/bearingdatacenter/pages/welcomecase-western-reserve-university-bearing-data-center-website
Yang Y, Yu D, Cheng J (2006) A roller bearing fault diagnosis method based on EMD energy entropy and ANN. J Sound Vib 294(1–2):269–277
Liu Z, Cao H, Chen X et al (2013) Multi-fault classification based on wavelet SVM with PSO algorithm to analyze vibration signals from rolling element bearings. Neurocomputing 99(1):399–410
Chen Z, Li C, Sanchez RV (2015) Gearbox fault identification and classification with convolutional neural networks. Shock Vib 390134:1–10
Wang S, Xiang J, Zhong Y et al (2017) Convolutional neural network-based hidden Markov models for rolling element bearing fault identification. Knowl-Based Syst 144:65–76
Acknowledgements
Thanks for the editors, referees, and all the workmates who dedicated their precious time to this research and provided insightful suggestions. All their work contributes greatly to this article.
Funding
This work was supported by National Natural Science Foundation of China (Grant No. 51975249), Chongqing Natural Science Foundation project (cstc2021jcyj-msxm2142), Fundamental Research Funds for the Central Universities, JLUSTIRT, and Interdisciplinary Research Funding Program for Doctoral Students of Jilin University (Grant No. 101832020DJX034).
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Tongtong Jin: background research, methodology, data curation, software, validation writing—original draft, editing.
Qiang Cheng: review and editing, supervision.
Hu Chen: software, review, and editing.
Siyuan Wang: review and editing.
Jinyan Guo: review and suggestion.
Chuanhai Chen: review and editing, supervision, project administration, funding acquisition.
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Jin, T., Cheng, Q., Chen, H. et al. Fault diagnosis of rotating machines based on EEMD-MPE and GA-BP. Int J Adv Manuf Technol 124, 3911–3922 (2023). https://doi.org/10.1007/s00170-021-08159-z
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DOI: https://doi.org/10.1007/s00170-021-08159-z