Abstract
This paper presents a fault diagnosis method for rolling bearings working in non-stationary running conditions. The proposed approach is based on an improved version of the improved complete ensemble empirical mode decomposition with adaptive noise (ICEEMDAN), the multivariate denoising using wavelet analysis and principal component analysis (PCA), the spectral kurtosis, and the order tracking analysis (OTA). The results show that the improved CEEMDAN has completely decomposed the raw signal into different intrinsic mode functions (IMFs) representing the natural oscillatory modes embedded into the signal. The most relevant IMF from which the defect was extracted is selected by the kurtogram plot which allows locating the optimal frequency band having the highest kurtosis value. Multivariate denoising based on wavelet analysis and PCA is used to increase the signal-to-noise ratio (SNR) of the selected IMF. The results show the great contribution of the denoising approach when comparing the selected denoised IMF with the original one. Finally, order tracking analysis is applied on the denoised IMF’s envelope to remove the effect of speed variation, and an envelope order spectrum is obtained. The proposed approach is first applied on theoretical signal simulating rolling bearing defect in variable regime including three different phases. The final order spectrum shows exactly the simulated defect order and several of its harmonics. For the experimental validation, several signals of defective rolling bearings have been measured on the Machine Fault Simulator test rig in variable regime. Despite the combined variable regime including acceleration-constant regime-deceleration, at the same time, the obtained results indicate the efficiency of the proposed method to extract the fault order with high accuracy. The maximum error between the theoretical order and the experimentally obtained one was 1.3% for outer race defect and 1% for inner race defect. Finally, the performances of the proposed method are compared to those of another diagnosis method designed for variable regime conditions. Both outer race and inner race defects are considered in acceleration regime. The results show the superiority of the proposed method to highlight the defect order with highest clarity.





















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References
Djebala A, Ouelaa N, Hamzaoui N (2007) Optimisation of the wavelet multiresolution analysis of shock signals: application to the signals generated by defective rolling bearings. Mech Industry 4(8):379–389
Djebala A, Ouelaa N, Hamzaoui N (2008) Detection of rolling bearing defects using discrete wavelet analysis. Meccanica 43:339–348
Yan R, Gao RX, Chen X (2014) Wavelets for faults diagnosis of rotary machines: a review with applications. Signal Process 96:1–15
Abouelanouar B, Elamrani M, Elkihel B, Delaunois F (2018) Application of wavelet analysis and its interpretation in rotating machines monitoring and fault diagnosis. A review. Int J Eng Technol 7(4):3465–3471
Donoho DL (1995) De-noising by soft thresholding. IEEE Transact Inform Theory 41(3):613–627
AminGhafari M, Cheze N, Poggi JM (2006) Multivariate denoising using wavelets and principal component analysis. Comput Stat Data Anal 52(6):3061–3074
Lei Y, Lin J, He Z, Zuo MJ (2013) A review on empirical mode decomposition in fault diagnosis of rotating machinery. Mech Syst Signal Process 35:108–126
Huang NE et al (1998) The empirical mode decomposition method and the Hilbert spectrum for non-stationary time series analysis. Proc Roy Soc London 454A:903–995
Dybala J, Zimroz R (2014) Rolling bearing diagnosing method based on empirical mode decomposition of machine vibration signal. Appl Acoust 77:195–203
Du Q, Yang S (2007) Application of the EMD method in the vibration analysis of ball bearings. Mech Syst Signal Process 21:2634–3644
Gao Q, Duan C, Fan H, Meng Q (2008) Rotating machine fault diagnosis using empirical mode decomposition. Mech Syst Signal Process 22:1072–1081
Bin GF, Gao JJ, Li XJ, Dhillon BS (2012) Early faults diagnosis of rotting machinery based on wavelet packets—empirical mode decomposition feature extraction and neural network. Mech Syst Signal Process 27:696–711
Pan MC, Tsao WC (2013) Using appropriate IMFs for envelope analysis in multiple fault diagnosis of ball bearings. Int J Mech Sci 69:114–124
Liu X, Lin B, Luo H (2015) Bearing faults diagnostics based on hybrid LS-SVM and EMD method. Measurement 59:145–166
Ahn JH, Kwak DH, Koh BH (2014) Fault detection of a roller-bearing system through the EMD of a wavelet denoised signal. Sensors 14(8):15022–15038
Djebala A, Babouri MK, Ouelaa N (2015) Rolling bearing fault detection using a hybrid method based on empirical mode decomposition and optimized wavelet multi-resolution analysis. Int J Adv Manuf Technol 79(9–12):2093–2105
Abdelkader R, Kaddour A, Derouiche Z (2018) Enhancement of rolling bearing fault diagnosis based on improvement of empirical mode decomposition denoising method. Int J Adv Manuf Technol 97(5–8):3099–3117
Wu Z, Huang NE (2009) Ensemble empirical mode decomposition: a noise-assisted data analysis method. Adv Adapt Data Anal 1(01):1–41
Wu TY, Chung YL (2009) Misalignment diagnosis of rotating machinery through vibration analysis via the hybrid EEMD and EMD approach. Smart Mater Struct 18(9):095004
Guo W, Tse Peter W, Djordjevich A (2012) Faulty bearing signal recovery from large noise using a hybrid method based on spectral kurtosis and ensemble empirical mode decomposition. Measurement 45(5):1308–1322
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 41:127–140
Torres ME, Colominas MA, Schlotthauer G, Flandrin P (2011) A complete ensemble empirical mode decomposition with adaptive noise. Proceeding of the 36th International Conference on Acoustics, Speech and Signal Processing ICASSP 2011 (May 22-27, Prague, Czech Republic)
Colominas MA, Schlotthauer G, Torres ME (2014) Improved complete ensemble EMD: a suitable tool for biomedical signal processing. J Biomed Signal Process Control 14:19–29
Lei Y, Liu Z, Ouazri J, Lin J (2015) A fault diagnosis method of rolling element bearings based on CEEMDAN. Proc IMEchE C Mech Eng Sci 231(10):1804–1815
Bouhalais M, Djebala A, Ouelaa N, Babouri MK (2018) CEEMDAN and OWMRA as a hybrid method for rolling bearing fault diagnosis under variable speed. Int J Adv Manuf Technol 94(5–8):2475–2489
Ding F, Li X, Qu J (2017) Fault diagnosis of rolling bearing based on improved CEEMDAN and distance evaluation technique. J Vibroeng 19(1):1392–8716
Jing X, Jianmin M, Zhiqiang Z, Chun C (2019) Bearing fault diagnosis based on CEEMDAN and Teager energy operator. J Phys Conf Ser 1345:032044
An D, Xu B, Shao M, Li HD, Wang LY (2019) CEEMDAN-MFE method for fault extraction of rolling bearing. J Phys Conf Ser 1213:052092
Capdessus C, Sekko E, and Antoni J (2014) Speed transform, a new time-varying frequency analysis technique. Advances in condition monitoring of machinery in non-stationary operations. Springer Berlin, Heidelberg 23–35
Ait Sghir KA, Bolaers F, Cousinard O, Dron JP (2013) Vibratory monitoring of a spalling bearing defect in variable speed regime. Mech Industry 14(2):129–136
Wu TY, Lai CH, Liu DC (2016) Defect diagnostics of roller bearing using instantaneous frequency normalization under fluctuant rotating speed. J Mech Sci Technol 30(3):1037–1048
Pachaud C, Salvetat R, Fray C (1997) Crest factor and kurtosis contributions to identify defects inducing periodical impulsive forces. Mech Syst Signal Process 11(6):903–916
Dron JP, Bolaers F, Rasolofondraibe L (2004) Improvement of the sensitivity of the scalar indicators (crest factor and kurtosis) using a de-noising method by spectral subtraction: application to the detection of defects in ball bearings. J Sound Vib 270:61–73
Antoni J (2006) The spectral kurtosis: a useful tool for characterizing non-stationary signals. Mech Syst Signal Process 20(2):282–307
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Chaabi, L., Lemzadmi, A., Djebala, A. et al. Fault diagnosis of rolling bearings in non-stationary running conditions using improved CEEMDAN and multivariate denoising based on wavelet and principal component analyses. Int J Adv Manuf Technol 107, 3859–3873 (2020). https://doi.org/10.1007/s00170-020-05311-z
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DOI: https://doi.org/10.1007/s00170-020-05311-z