Abstract
Identification of multiple mechanical faults from vibration signals has always been one of the most challenging tasks in the field of condition monitoring and fault diagnosis. This study proposes a new fault-oriented vibration signal decomposition method, called adaptive feature mode decomposition (AFMD), to identify multiple localized faults in rotating machines interfered by strong periodic harmonics in a robust and effective manner. The autoregressive model is first introduced as a preprocessing technique for initially reducing deterministic components of the raw signal. Then, for signal decomposition, an adaptive finite impulse response (FIR) filter bank is designed utilizing the blind deconvolution theory. The filter coefficients of the FIR filter bank are iteratively updated to make each filtered sub-signal infinitely approach their deconvolution objective functions based on the correlated kurtosis. Meanwhile, the filter length is adaptively determined using the developed evaluation indicator termed as the weighted squared envelope harmonic-to-noise ratio. Finally, several decomposed modes focusing on fault signatures can be acquired automatically, using the newly proposed mode selection strategy that considers signal similarity across multiple domains. The proposed AFMD method can significantly reduce the likelihood of incorrect diagnoses, as demonstrated by two simulated and two experimental datasets with multiple localized bearing and gear faults. The analysis results show that the proposed method outperforms over the state-of-the-art feature mode decomposition and the most popular variational mode decomposition in multi-fault feature extraction and weak fault detection, when interfered by strong periodic harmonics as well as other background noise.
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Data of this study will be made available from the corresponding author on reasonable request.
References
Salameh, J.P., Cauet, S., Etien, E., Sakout, A., Rambault, L.: Gearbox condition monitoring in wind turbines: a review. Mech. Syst. Sig. Process. 111, 251–264 (2018)
Wang, T., Han, Q., Chu, F., Feng, Z.: Vibration based condition monitoring and fault diagnosis of wind turbine planetary gearbox: a review. Mech. Syst. Sig. Process. 126, 662–685 (2019)
Goyal, D., Pabla, B.S.: The vibration monitoring methods and signal processing techniques for structural health monitoring: a review. Arch. Comput. Methods Eng. 23(4), 585–594 (2016)
Zhang, J., Zhang, Q., Qin, X., Sun, Y., Zhang, J.: Gearbox compound fault diagnosis based on a combined MSGMD–MOMEDA method. Meas. Sci. Technol. 33(6), 065102 (2022)
Jin, Z., He, D., Lao, Z., Wei, Z., Yin, X., Yang, W.: Early intelligent fault diagnosis of rotating machinery based on IWOA-VMD and DMKELM. Nonlinear Dyn. (2022)
Wang, X., Si, S., Li, Y.: Hierarchical diversity entropy for the early fault diagnosis of rolling bearing. Nonlinear Dyn. 108(2), 1447–1462 (2022)
Zhou, X., He, X., Peng, D., Hou, Y., Liu, Q.: A practical methodology for enhancement and detection of transient faults in a gearbox without prior fault feature information. Meas. Sci. Technol. 32(3), 035116 (2021)
Huang, N.E., Shen, Z., Long, S.R., Wu, M.C., Shih, H.H., Zheng, Q., Yen, N.-C., Tung, C.C., Liu, H.H.: The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 454(1971), 903–95 (1998)
Singh, D.S., Zhao, Q.: Pseudo-fault signal assisted EMD for fault detection and isolation in rotating machines. Mech. Syst. Sig. Process. 81, 202–218 (2016)
Lei, Y., Lin, J., He, Z., Zuo, M.J.: A review on empirical mode decomposition in fault diagnosis of rotating machinery. Mech. Syst. Signal Process. 35(1–2), 108–126 (2013)
Wu, Z., Huang, N.E.: Ensemble empirical mode decomposition: a noise-assisted data analysis method. Adv. Adapt. Data Anal. 01(01), 1–41 (2009)
Yeh, J.-R., Shieh, J.-S., Huang, N.E.: Complementary ensemble empirical mode decomposition: a novel noise enhanced data analysis method. Adv. Adapt. Data Anal. 02(02), 135–156 (2010)
Torres, M.E., Colominas, M.A., Schlotthauer, G., Flandrin, P.: A complete ensemble empirical mode decomposition with adaptive noise. In: IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 4144–7 (2011)
Colominas, M.A., Schlotthauer, G., Torres, M.E.: Improved complete ensemble EMD: a suitable tool for biomedical signal processing. Biomed. Signal Process. Control 14(1), 19–29 (2014)
Smith, J.S.: The local mean decomposition and its application to EEG perception data. J. R. Soc. Interface 2(5), 443–454 (2005)
Frei, M.G., Osorio, I.: Intrinsic time-scale decomposition: time–frequency–energy analysis and real-time filtering of non-stationary signals. Proc. R. Soc. Ser. A. 463(2078), 321–342 (2007)
Zheng, J., Cheng, J., Yang, Y.: A rolling bearing fault diagnosis approach based on LCD and fuzzy entropy. Mech. Mach. Theory 70, 441–453 (2013)
Cicone, A., Liu, J., Zhou, H.: Adaptive local iterative filtering for signal decomposition and instantaneous frequency analysis. Appl. Comput. Harmon. Anal. 41(2), 384–411 (2016)
Gilles, J.: Empirical wavelet transform. IEEE Trans. Signal Process. 61(16), 3999–4010 (2013)
Dragomiretskiy, K., Zosso, D.: Variational mode decomposition. IEEE Trans. Signal Process. 62(3), 531–544 (2014)
Zhang, X., Miao, Q., Zhang, H., Wang, L.: A parameter-adaptive VMD method based on grasshopper optimization algorithm to analyze vibration signals from rotating machinery. Mech. Syst. Signal Process. 108, 58–72 (2018)
He, X., Zhou, X., Yu, W., Hou, Y., Mechefske, C.K.: Adaptive variational mode decomposition and its application to multi-fault detection using mechanical vibration signals. ISA Trans. 111, 360–375 (2021)
Kedadouche, M., Thomas, M., Tahan, A.: A comparative study between empirical wavelet transforms and empirical mode decomposition methods: application to bearing defect diagnosis. Mech. Syst. Signal Process. 81, 88–107 (2016)
Miao, Y., Zhang, B., Li, C., Lin, J., Zhang, D.: Feature mode decomposition: new decomposition theory for rotating machinery fault diagnosis. IEEE Trans. Ind. Electron. 70(2), 1949–1960 (2023)
Miao, Y., Zhang, B., Lin, J., Zhao, M., Liu, H., Liu, Z., Li, H.: A review on the application of blind deconvolution in machinery fault diagnosis. Mech. Syst. Signal Process. 163, 108202 (2022)
Sawalhi, N., Randall, R.B., Endo, H.: The enhancement of fault detection and diagnosis in rolling element bearings using minimum entropy deconvolution combined with spectral kurtosis. Mech. Syst. Signal Process. 21(6), 2616–2633 (2007)
Lee, J.Y., Nandi, A.K.: Extraction of impacting signals using blind deconvolution. J. Sound Vib. 232(5), 945–962 (2000)
Buzzoni, M., Antoni, J., D’Elia, G.: Blind deconvolution based on cyclostationarity maximization and its application to fault identification. J. Sound Vib. 432, 569–601 (2018)
Randall, R.B., Antoni, J.: Rolling element bearing diagnostics—a tutorial. Mech. Syst. Signal Process. 25(2), 485–520 (2011)
Wang, D., Tse, P.W., Tsui, K.L.: An enhanced Kurtogram method for fault diagnosis of rolling element bearings. Mech. Syst. Signal Process. 35(1), 176–199 (2013)
Ho, D., Randall, R.B.: Optimisation of bearing diagnostic techniques using simulated and actual bearing fault signals. Mech. Syst. Signal Process. 14(5), 763–788 (2000)
Miao, Y., Zhao, M., Lin, J., Xu, X.: Sparse maximum harmonics-to-noise-ratio deconvolution for weak fault signature detection in bearings. Meas. Sci. Technol. 27(10), 105004 (2016)
Xu, X., Zhao, M., Lin, J., Lei, Y.: Envelope harmonic-to-noise ratio for periodic impulses detection and its application to bearing diagnosis. Measurement 91, 385–397 (2016)
He, X., Liu, Q., Yu, W., Mechefske, C.K., Zhou, X.: A new autocorrelation-based strategy for multiple fault feature extraction from gearbox vibration signals. Measurement 171, 108738 (2021)
Wang, B., Lei, Y., Li, N., Li, N.: A hybrid prognostics approach for estimating remaining useful life of rolling element bearings. IEEE Trans. Reliab. 69(1), 401–412 (2020)
López, C., Wang, D., Naranjo, Á., Moore, K.J.: Box-cox-sparse-measures-based blind filtering: understanding the difference between the maximum kurtosis deconvolution and the minimum entropy deconvolution. Mech. Syst. Signal Process. 165, 108376 (2022)
Acknowledgements
This work is supported by the Project funded by China Postdoctoral Science Foundation (2022M721312), Open Foundation of the State Key Laboratory of Fluid Power and Mechatronic Systems (GZKF-202206), the Department of Science and Technology of Jilin Province (20230508154RC), the Education Department of Jilin Province (JJKH20231149KJ) and the National Natural Science Foundation of China (U21A20137, 52005212). The authors would like to thank Dr. Yonghao Miao for sharing the MATLAB code and thank Prof. Yaguo Lei for providing the XJTU-SY bearing datasets for public.
Funding
This work is funded by China Postdoctoral Science Foundation (Grant No. 2022M721312), State Key Laboratory of Fluid Power and Mechatronic Systems (Grant No. GZKF-202206), National Natural Science Foundation of China (Grant Nos. U21A20137, 52005212), Department of Science and Technology of Jilin Province (Grant No. 20230508154RC) and Education Department of Jilin Province (Grant No. JJKH20231149KJ).
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He, X., Zhou, X., Li, J. et al. Adaptive feature mode decomposition: a fault-oriented vibration signal decomposition method for identification of multiple localized faults in rotating machinery. Nonlinear Dyn 111, 16237–16270 (2023). https://doi.org/10.1007/s11071-023-08703-4
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DOI: https://doi.org/10.1007/s11071-023-08703-4