Skip to main content
Log in

Sensitive Sub-band Selection Criteria for Empirical Wavelet Transform to Detect Bearing Fault Based on Vibration Signals

  • Original Paper
  • Published:
Journal of Vibration Engineering & Technologies Aims and scope Submit manuscript

Abstract

Under varying speed, a bearing exhibits a severely modulated signal, to which the classical techniques of time and frequency domain fails to detect. An experimental investigation exhibiting detection of bearing faults at both constant and varying speed using empirical wavelet transform (EWT) is presented. EWT employs a filter bank to decompose a non-stationary signal into different sub-bands. The selection of sub-band influences fault detection because residual noises remain unfiltered. Therefore, identification of sensitive sub-band is crucial for a detailed investigation, which is done using correlated correlation and kurtosis. Upon selection of sensitive sub-band the envelope spectrum was used to detect the presence of fault based on the frequencies noticed. The results were validated by permutation entropy. Two case studies: in-house bearing vibration signal at a constant speed and, online available bearing data set at varying speed, were performed to exhibit the promising result of the proposed approach to detect the bearing fault.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

References

  1. Malla C, Panigrahi I (2019) Review of condition monitoring of rolling element bearing using vibration analysis and other techniques. J Vib Eng Technol 7:407–414

    Article  Google Scholar 

  2. Ding J, Zhou J, Yin Y (2019) Fault detection and diagnosis of a wheelset-bearing system using a multi-Q-factor and multi-level tunable Q-factor wavelet transform. Measurement 143:112–124

    Article  Google Scholar 

  3. Feng Z, Ma H, Zuo MJ (2016) Vibration signal models for fault diagnosis of planet bearings. J Sound Vib 370:372–393

    Article  Google Scholar 

  4. Yu K, Lin TR, Ma H, Li H, Zeng J (2019) A combined polynomial chirplet transform and synchroextracting technique for analyzing nonstationary signals of rotating machinery. IEEE Trans Instrum Meas 69(4):1505–1518

    Article  Google Scholar 

  5. Sheen YT (2010) An envelope analysis based on the resonance modes of the mechanical system for the bearing defect diagnosis. Measurement 43(7):912–934

    Article  Google Scholar 

  6. Leite GDNP, Araújo AM, Rosas PAC, Stosic T, Stosic B (2019) Entropy measures for early detection of bearing faults. Phys A 514:458–472

    Article  Google Scholar 

  7. Chen L, Xu G, Wang Y, Wang J (2018) Detection of weak transient signals based on unsupervised learning for bearing fault diagnosis. Neurocomputing 314:445–457

    Article  Google Scholar 

  8. Hoseinzadeh MS, Khadem SE, Sadooghi MS (2018) Quantitative diagnosis for bearing faults by improving ensemble empirical mode decomposition. ISA Trans 83:261–275

    Article  Google Scholar 

  9. Chen D, Lin J, Li Y (2018) Modified complementary ensemble empirical mode decomposition and intrinsic mode functions evaluation index for high-speed train gearbox fault diagnosis. J Sound Vib 424:192–207

    Article  Google Scholar 

  10. Wang H, Li S, Song L, Cui L (2019) A novel convolutional neural network based fault recognition method via image fusion of multi-vibration-signals. Comput Ind 105:182–190

    Article  Google Scholar 

  11. Hao Y, Song L, Wang M, Cui L, Wang H (2019) Underdetermined source separation of bearing faults based on optimized intrinsic characteristic-scale decomposition and local non-negative matrix factorization. IEEE Access 7:11427–11435

    Article  Google Scholar 

  12. Huang W, Gao G, Li N, Jiang X, Zhu Z (2018) Time-frequency squeezing and generalized demodulation combined for variable speed bearing fault diagnosis. IEEE Trans Instrum Meas 68:2819–2829

    Article  Google Scholar 

  13. Sun R, Yang Z, Chen X, Tian S, Xie Y (2018) Gear fault diagnosis based on the structured sparsity time-frequency analysis. Mech Syst Signal Process 102:346–363

    Article  Google Scholar 

  14. Wang D, Tsui KL, Qin Y (2019) Optimization of segmentation fragments in empirical wavelet transform and its applications to extracting industrial bearing fault features. Measurement 133:328–340

    Article  Google Scholar 

  15. Lin J, Qu L (2000) Feature extraction based on Morlet wavelet and its application for mechanical fault diagnosis. J Sound Vib 234(1):135–148

    Article  Google Scholar 

  16. Selesnick IW (2011) Wavelet transform with tunable Q-factor. IEEE Trans Signal Process 59(8):3560–3575

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  18. Chen J, Pan J, Li Z, Zi Y, Chen X (2016) Generator bearing fault diagnosis for wind turbine via empirical wavelet transform using measured vibration signals. Renew Energy 89:80–92

    Article  Google Scholar 

  19. Cao H, Fan F, Zhou K, He Z (2016) Wheel-bearing fault diagnosis of trains using empirical wavelet transform. Measurement 82:439–449

    Article  Google Scholar 

  20. Sharma V, Parey A (2016) A review of gear fault diagnosis using various condition indicators. Proced Eng 144:253–263

    Article  Google Scholar 

  21. Heng RBW, Nor MJM (1998) Statistical analysis of sound and vibration signals for monitoring rolling element bearing condition. Appl Acoust 53(1–3):211–226

    Article  Google Scholar 

  22. Zunino L, Kulp CW (2017) Detecting nonlinearity in short and noisy time series using the permutation entropy. Phys Lett A 381(42):3627–3635

    Article  Google Scholar 

  23. Yan R, Liu Y, Gao RX (2012) Permutation entropy: a nonlinear statistical measure for status characterization of rotary machines. Mech Syst Signal Process 29:474–484

    Article  Google Scholar 

  24. Huang H, Baddour N (2018) Bearing vibration data collected under time-varying rotational speed conditions. Data Brief 21:1745–1749

    Article  Google Scholar 

  25. Yu K, Lin TR, Tan J, Ma H (2019) An adaptive sensitive frequency band selection method for empirical wavelet transform and its application in bearing fault diagnosis. Measurement 134:375–384

    Article  Google Scholar 

  26. Ge J, Niu T, Xu D, Yin G, Wang Y (2020) A rolling bearing fault diagnosis method based on EEMD-WSST signal reconstruction and multi-scale entropy. Entropy 22(3):290

    Article  MathSciNet  Google Scholar 

  27. Qiao Z, Pan Z (2015) SVD principle analysis and fault diagnosis for bearings based on the correlation coefficient. Meas Sci Technol 26(8):085014

    Article  Google Scholar 

  28. Sheng S (2012) Wind turbine gearbox condition monitoring round Robin study-vibration analysis (No. NREL/TP-5000-54530). National Renewable Energy Lab. (NREL), Golden

  29. Ma H, Pang X, Feng R, Song R, Wen B (2015) Fault features analysis of cracked gear considering the effects of the extended tooth contact. Eng Fail Anal 48:105–120

    Article  Google Scholar 

  30. Bandt C, Pompe B (2002) Permutation entropy: a natural complexity measure for time series. Phys Rev Lett 88(17):174102

    Article  Google Scholar 

  31. Li Y, Li G, Yang Y, Liang X, Xu M (2018) A fault diagnosis scheme for planetary gearboxes using adaptive multi-scale morphology filter and modified hierarchical permutation entropy. Mech Syst Signal Process 105:319–337

    Article  Google Scholar 

  32. Wu SD, Wu PH, Wu CW, Ding JJ, Wang CC (2012) Bearing fault diagnosis based on multiscale permutation entropy and support vector machine. Entropy 14(8):1343–1356

    Article  Google Scholar 

  33. Ge M, Lv Y, Yi C, Zhang Y, Chen X (2018) A joint fault diagnosis scheme based on tensor nuclear norm canonical polyadic decomposition and multi-scale permutation entropy for gears. Entropy 20(3):161

    Article  Google Scholar 

  34. Chegini SN, Bagheri A, Najafi F (2019) Application of a new EWT-based denoising technique in bearing fault diagnosis. Measurement 144:275–297

    Article  Google Scholar 

Download references

Acknowledgements

The authors are thankful to Prof. Huan Huang and Prof. Natalie Baddour, Department of Mechanical Engineering, University of Ottawa, Ottawa, Ontario, Canada, for allowing to use the bearing vibration data set.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Naresh K. Raghuwanshi.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sharma, V., Raghuwanshi, N.K. & Jain, A.K. Sensitive Sub-band Selection Criteria for Empirical Wavelet Transform to Detect Bearing Fault Based on Vibration Signals. J. Vib. Eng. Technol. 9, 1603–1617 (2021). https://doi.org/10.1007/s42417-021-00316-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42417-021-00316-8

Keywords

Navigation