Abstract
A defective rolling bearing usually generates repetitive impulses often appears as an amplitude modulated signal, which contains fault feature. To assess the faulty bearings, a proper signal processing method is necessary to extract the fault information from the periodic impulses submerged in heavy background noise and interference vibrations. This paper presents a new Combined Time–Frequency Method (CTFM) based on Morlet Wavelet Filter (MWF), Intrinsic Time-scale Decomposition (ITD), and Teager-Kaiser (TK) energy operator to extract impulsive features for better evaluating bearing operating conditions. The MWF with predefined parameters (center frequency and bandwidth) is used to remove background noise from bearing vibration signal. The filtered signal, which is a multi-component signal, is decomposed into Proper Rotation Components (PRCs) through ITD method, followed by an error analysis to select the most significant PRCs in order to eliminate interference components. Then, the bearing vibration signal is reconstructed from the selected components and its energy is estimated using the TK operator. According to the maximum energy value, the power spectrum of the TK envelope or modulating signal is used for clear visualization of the Bearing Characteristic Frequencies (BCFs) as well as the optimal parameters of the Morlet filter are retained. To test its performance, the proposed CTFM is applied on simulated and experimental bearing signals and discussed by comparing its performance to previous studies. The obtained results demonstrate the effectiveness of the CTFM in identifying BCFs.
Similar content being viewed by others
References
Yu JB (2012) Local and nonlocal preserving projection for bearing defect classification and performance assessment. IEEE Trans Industr Electron 59(5):2363–2376. https://doi.org/10.1109/TIE.2011.2167893
Peng ZK, Chu FL (2004) Application of the wavelet transform in machine condition monitoring and fault diagnostics: a review with bibliography. Mech Syst Sig Process 18:199–221. https://doi.org/10.1016/S0888-3270(03)00075-X
Nikolaou NG, Antoniadis IA (2002) Demodulation of vibration signals generated by defects in rolling element bearings using complex shifted morlet wavelets. Mech Syst Sig Process 16(4):677–694. https://doi.org/10.1006/mssp.2001.1459
He W, Jiang ZN, Feng K (2009) Bearing fault detection based on optimal wavelet filter and sparse code shrinkage. Measurement 42:1092–1102. https://doi.org/10.1016/j.measurement.2009.04.001
Su W, Wang F, Zhu H, Zhang Z, Guo Z (2010) Rolling element bearing faults diagnosis based on optimal Morlet wavelet filter and autocorrelation enhancement. Mech Syst Sig Process 24:1458–1472. https://doi.org/10.1016/j.ymssp.2009.11.011
Jiang Y, Tang B, Qin Y, Liu W (2011) Feature extraction method of wind turbine based on adaptive Morlet wavelet and SVD. Renewable Energy 36:2146–2153. https://doi.org/10.1016/j.renene.2011.01.009
Zhang Y, Tang B, Liu Z, Chen R (2015) An adaptive demodulation approach for bearing fault detection based on adaptive wavelet filtering and spectral subtraction. Meas Sci Technol 27(2):025001. https://doi.org/10.1088/0957-0233/27/2/025001
Cao Y, Liu M, Yang J, Cao Y, Fu W (2018) A method for extracting weak impact signal in NPP based on adaptive Morlet wavelet transform and kurtosis. Prog Nucl Energy 105:211–220. https://doi.org/10.1016/j.pnucene.2017.09.015
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. Proc R Soc A Math Phys Eng Sci 454:903–995. https://doi.org/10.1098/rspa.1998.0193
Smith JS (2005) The local mean decomposition and its application to EEG perception data. J R Soc Interface 2(5):443–454. https://doi.org/10.1098/rsif.2005.0058
Frei MG, Osorio I (2007) Intrinsic time-scale decomposition: Time–frequency–energy analysis and real-time filtering of non-stationary signals. Proc Roy Soc London Ser A Math Phys Eng Sci 463(2078):321–342. https://doi.org/10.1098/rspa.2006.1761
Zhang X, Zhang Q, Qin X, Sun Y (2016) Rolling bearing fault diagnosis based on ITD Lempel-Ziv complexity and PSO-SVM. J Vib Shock 35:102–107. https://doi.org/10.13465/j.cnki.jvs.2016.24.017
Yu J, Liu H (2018) Sparse Coding Shrinkage in Intrinsic Time-Scale Decomposition for Weak Fault Feature Extraction of Bearings. IEEE Trans Instrum Meas 67(7):1579–1592. https://doi.org/10.1109/TIM.2018.2801040
Yu M, Pan X (2020) A novel ITD-GSP-based characteristic extraction method for compound faults of rolling bearing. Measurement 159:107736. https://doi.org/10.1016/j.measurement.2020.107736
An X, Jiang D (2014) Bearing fault diagnosis of wind turbine based on intrinsic time-scale decomposition frequency spectrum. Proc IMechE Part O: J Risk and Reliability 228(6):558–566. https://doi.org/10.1177/1748006X14539678
Sheng J, Dong S, Liu Z (2016) Bearing fault diagnosis based on intrinsic time-scale decomposition and improved Support vector machine model. J Vibroengineering 18(2):849–859
Feng Z, Lin X, Zuo MJ (2016) Joint amplitude and frequency demodulation analysis based on intrinsic time-scale decomposition for planetary gearbox fault diagnosis. Mech Syst Sig Process 72:223–240. https://doi.org/10.1016/j.ymssp.2015.11.024
Randall RB, Antoni J (2011) Rolling element bearing diagnostics – A tutorial. Mech Syst Sig Process 25(2):485–520. https://doi.org/10.1016/j.ymssp.2010.07.017
Liang M, Soltani Bozchalooi I (2010) An energy operator approach to joint application of amplitude and frequency-demodulations for bearing fault detection. Mech Syst Sig Process 24:1473–1494. https://doi.org/10.1016/j.ymssp.2009.12.007
Rodríguez PH, Alonso JB, Ferrer MA (2013) Travieso C.M., Application of the Teager-Kaiser energy operator in bearing fault diagnosis. ISA Trans 52:278–284. https://doi.org/10.1016/j.isatra.2012.12.006
Ma J, Wu J, Wang X (2018) Incipient fault feature extraction of rolling bearings based on the MVMD and Teager energy operator. ISA Trans 80:297–311. https://doi.org/10.1016/j.isatra.2018.05.017
Gu R, Chen J, Hong R, Wang H, Wu W (2020) Incipient fault diagnosis of rolling bearings based on adaptive variational mode decomposition and Teager energy operator. Measurement 149:106941. https://doi.org/10.1016/j.measurement.2019.106941
Chui CK (2014) An introduction to wavelets, 1st edn. Academic Press
Bendjama H, Boucherit MS (2016) Wavelets and principal component analysis method for vibration monitoring of rotating machinery. J Theor Appl Mech 54(2):659–670. https://doi.org/10.15632/jtam-pl.54.2.659
Donoho DL, Johnston IM (1994) Ideal spatial adaptive via wavelet shrinkage. Biometrika 81:425–455. https://doi.org/10.2307/2337118
Kaiser JF (1990) On a simple algorithm to calculate the ‘energy’ of a signal. Int Conf on Acoustics, Speech, and Signal Process. 1:381–384. https://doi.org/10.1109/ICASSP.1990.115702
Loparo KA (2003) Bearings vibration data set, Case Western Reserve University, (http://www.eecs.cwru.edu)
Wang D, Guo W, Wang X (2013) A joint sparse wavelet coefficient extraction and adaptive noise reduction method in recovery of weak bearing fault features from a multi-component signal mixture. Appl Soft Comput 13:4097–4104. https://doi.org/10.1016/j.asoc.2013.05.015
Gu X, Yang S, Liu Y, Deng F, Ren B (2018) Compound faults detection of the rolling element bearing based on the optimal complex Morlet wavelet filter. J Mech Eng Sci 232(10):1786–1801. https://doi.org/10.1177/0954406217710673
Albezzawy MN, Nassef MG, Sawalhi N (2020) Rolling element bearing fault identification using a novel three-step adaptive and automated filtration scheme based on Gini index. ISA Trans 101:453–460. https://doi.org/10.1016/j.isatra.2020.01.019
Author information
Authors and Affiliations
Corresponding author
Additional information
Technical Editor: Jarir Mahfoud.
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Bendjama, H. Bearing fault diagnosis based on optimal Morlet wavelet filter and Teager-Kaiser energy operator. J Braz. Soc. Mech. Sci. Eng. 44, 392 (2022). https://doi.org/10.1007/s40430-022-03688-4
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s40430-022-03688-4