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Adaptive feature mode decomposition: a fault-oriented vibration signal decomposition method for identification of multiple localized faults in rotating machinery

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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

  1. 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)

    Article  Google Scholar 

  2. 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)

    Article  Google Scholar 

  3. 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)

    Article  MathSciNet  MATH  Google Scholar 

  4. 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)

    Article  Google Scholar 

  5. 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)

  6. Wang, X., Si, S., Li, Y.: Hierarchical diversity entropy for the early fault diagnosis of rolling bearing. Nonlinear Dyn. 108(2), 1447–1462 (2022)

    Article  Google Scholar 

  7. 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)

    Article  Google Scholar 

  8. 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)

  9. 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)

    Article  Google Scholar 

  10. 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)

    Article  Google Scholar 

  11. Wu, Z., Huang, N.E.: Ensemble empirical mode decomposition: a noise-assisted data analysis method. Adv. Adapt. Data Anal. 01(01), 1–41 (2009)

    Article  Google Scholar 

  12. 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)

    Article  MathSciNet  Google Scholar 

  13. 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)

  14. 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)

    Article  Google Scholar 

  15. Smith, J.S.: The local mean decomposition and its application to EEG perception data. J. R. Soc. Interface 2(5), 443–454 (2005)

    Article  Google Scholar 

  16. 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)

  17. 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)

    Article  Google Scholar 

  18. 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)

    Article  MathSciNet  MATH  Google Scholar 

  19. Gilles, J.: Empirical wavelet transform. IEEE Trans. Signal Process. 61(16), 3999–4010 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  20. Dragomiretskiy, K., Zosso, D.: Variational mode decomposition. IEEE Trans. Signal Process. 62(3), 531–544 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  21. 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)

    Article  Google Scholar 

  22. 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)

    Article  Google Scholar 

  23. 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)

    Article  Google Scholar 

  24. 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)

    Article  Google Scholar 

  25. 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)

    Article  Google Scholar 

  26. 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)

    Article  Google Scholar 

  27. Lee, J.Y., Nandi, A.K.: Extraction of impacting signals using blind deconvolution. J. Sound Vib. 232(5), 945–962 (2000)

    Article  MATH  Google Scholar 

  28. 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)

    Article  Google Scholar 

  29. Randall, R.B., Antoni, J.: Rolling element bearing diagnostics—a tutorial. Mech. Syst. Signal Process. 25(2), 485–520 (2011)

    Article  Google Scholar 

  30. 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)

    Article  Google Scholar 

  31. 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)

    Article  Google Scholar 

  32. 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)

    Article  Google Scholar 

  33. 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)

    Article  Google Scholar 

  34. 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)

    Article  Google Scholar 

  35. 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)

    Article  Google Scholar 

  36. 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)

    Article  Google Scholar 

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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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Correspondence to Qiang Liu.

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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

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