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Prediction of remaining useful life of rolling element bearings based on LSTM and exponential model

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Abstract

Fault in rolling element bearings is a very common fault in mechanical systems. It may lead to abnormal operation of equipment, even to serious accidents or significant losses. Periodical monitoring of bearings plays a vital role in reducing unplanned maintenance and improving the reliability of machines. However, the existing methods for determining faults in rolling element bearings introduce too many artificial factors, and the results are often subjective. In order to solve this problem, the present paper proposes a hybrid real-time method for determining the starting time of a fault in a rolling element bearing. Based on the dynamic 3σ interval and voting mechanism, our method can adaptively predict the starting time. Firstly, the long short-term memory (LSTM) neural network is used to predict the trend of the future operation of the bearing. Then, an exponential model is used to estimate its remaining useful life (RUL). The obtained experimental results show that the proposed approach can significantly reduce artificial interference, adaptively divide the state of rolling element bearings, and accurately predict RUL.

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References

  1. Tian Z (2012) An artificial neural network method for remaining useful life prediction of equipment subject to condition monitoring [J]. J Intell Manuf 23(2):227–237

    Article  MathSciNet  Google Scholar 

  2. Malhi A, Yan R, Gao RX (2011) Prognosis of defect propagation based on recurrent neural networks [J]. IEEE Trans Instrum Meas 60(3):703–711

    Article  Google Scholar 

  3. Liao H, Tian Z (2013) A framework for predicting the remaining useful life of a single unit under time-varying operating conditions [J]. IIE Trans 45(9):964–980

    Article  Google Scholar 

  4. Li N, Lei Y, Lin J et al (2015) An improved exponential model for predicting remaining useful life of rolling element bearings [J]. IEEE Trans Industr Electron 62(12):7762–7773

    Article  Google Scholar 

  5. Qian Y, Yan R (2014) Bearing degradation evaluation using recurrence quantification analysis and Kalman filter [J]. IEEE Trans Instrum Meas 63(11):2599–2610

    Article  Google Scholar 

  6. Shao H, Jiang H, Li X et al (2018) Rolling bearing fault detection using continuous deep belief network with locally linear embedding [J]. Comput Ind 96:27–39

    Article  Google Scholar 

  7. Ahmad W, Khan SA, Islam MM et al (2019) A reliable technique for remaining useful life estimation of rolling element bearings using dynamic regression models [J], vol 184. Reliability Engineering & System Safety, pp 67–76

  8. Heng A, Zhang S, Tan AC et al (2009) Rotating machinery prognostics: state of the art, challenges and opportunities [J]. Mech Syst Signal Process 23(3):724–739

    Article  Google Scholar 

  9. Tian Z, Liao H (2011) Condition based maintenance optimization for multi-component systems using proportional hazards model [J]. Reliab Eng Syst Saf 96(5):581–589

    Article  Google Scholar 

  10. Liao L (2013) Discovering prognostic features using genetic programming in remaining useful life prediction [J]. IEEE Trans Ind Electron 61(5):2464–72

    Article  Google Scholar 

  11. Gebraeel NZ, Lawley MA, Li R et al (2005) Residual-life distributions from component degradation signals: a bayesian approach [J]. IIE Trans 37(6):543–557

    Article  Google Scholar 

  12. Shao Y, Nezu K (2000) Prognosis of remaining bearing life using neural networks [J]. Proc Inst Mech Eng Part I J Syst Control Eng 214(3):217–30

    Google Scholar 

  13. Moghaddass R, Zuo MJ (2012) A parameter estimation method for a condition-monitored device under multi-state deterioration [J]. Reliab Eng Syst Saf 106:94–103

    Article  Google Scholar 

  14. Lee J (1996) Measurement of machine performance degradation using a neural network model [J]. Comput Ind 30(3):193–209

    Article  Google Scholar 

  15. Gebraeel N, Lawley M, Liu R et al (2004) Residual life predictions from vibration-based degradation signals: a neural network approach [J]. IEEE Trans Industr Electron 51(3):694–700

    Article  Google Scholar 

  16. Javed K, Gauriveau R, Zerhouni N et al (2014) Enabling health monitoring approach based on vibration data for accurate prognostics [J]. IEEE Trans Industr Electron 62(1):647–656

    Article  Google Scholar 

  17. Sikorska JZ, Hodkiewicz M (2011) Prognostic modelling options for remaining useful life estimation by industry [J]. Mech Syst Signal Process 25(5):1803–1836

    Article  Google Scholar 

  18. Elsheikh A, Yacout S, Ouali M-S (2019) Bidirectional handshaking LSTM for remaining useful life prediction [J]. Neurocomputing 323:148–156

    Article  Google Scholar 

  19. Hochreiter S, Schmidhuber J (1997) Long short-term memory [J]. Neural Comput 9(8):1735–1780

    Article  Google Scholar 

  20. Yuan M, Wu Y, Lin L (2016) Fault diagnosis and remaining useful life estimation of aero engine using LSTM neural network. In: proceedings of the 2016 IEEE international conference on aircraft utility systems (AUS), F. IEEE

  21. Zheng S, Ristovski K, Farahat A et al (2017) [C] Long short-term memory network for remaining useful life estimation. In: Proceedings of the 2017 IEEE international conference on prognostics and health management (ICPHM), F. IEEE

  22. Chen Z, Wu M, Zhao R et al (2020) Machine remaining useful life prediction via an attention-based deep learning approach [J]. IEEE Trans Industr Electron 68(3):2521–2531

    Article  Google Scholar 

  23. Plank B, Søgaard A, Goldberg Y (2016) Multilingual part-of-speech tagging with bidirectional long short-term memory models and auxiliary loss [J]. arXiv preprint arXiv:160405529

  24. Zhao R, Yan R, Wang J et al (2017) Learning to monitor machine health with convolutional bi-directional LSTM networks [J]. Sensors 17(2):273

    Article  Google Scholar 

  25. Yu W, Kim IY, Mechefske C (2019) Remaining useful life estimation using a bidirectional recurrent neural network based autoencoder scheme [J]. Mech Syst Signal Process 129:764–780

    Article  Google Scholar 

  26. Song JW, Park YI, Hong J-J, Systems F et al (2021) [C] IEEE

  27. Jin R, Chen Z, Wu K et al (2022) Bi-LSTM-Based Two-Stream Network for machine remaining useful life prediction [J]. IEEE Trans Instrum Meas 71:1–10

    Google Scholar 

  28. Wang B, Lei Y, Li N et al (2018) A hybrid prognostics approach for estimating remaining useful life of rolling element bearings [J]. IEEE Trans Reliab 69(1):401–412

    Article  Google Scholar 

  29. Lei Y, He Z, Zi Y et al (2007) Fault diagnosis of rotating machinery based on multiple ANFIS combination with GAs [J]. Mech Syst Signal Process 21(5):2280–2294

    Article  Google Scholar 

  30. Grafarend EW (2006) Linear and nonlinear models: fixed effects, random effects, and mixed models [J]. Walter De Gruyter

  31. Vysochanskij D, Petunin YI (1980) Justification of the 3σ rule for unimodal distributions [J]. Theory Prob Math Stat 21:25–36

    MATH  Google Scholar 

  32. PUKELSHEIM F (1994) The three sigma rule [J]. Am Stat 48(2):88–91

    MathSciNet  Google Scholar 

  33. ZHOU Z-H (2021) Machine learning [M]. Springer Nature

  34. SMAGULOVA K (2019) JAMES A P. A survey on LSTM memristive neural network architectures and applications [J]. Eur Phys J Special Top 228(10):2313–2324

    Article  Google Scholar 

  35. GOLDBERG Y (2016) A primer on neural network models for natural language processing [J]. J Artif Intell Res 57:345–420

    Article  MathSciNet  MATH  Google Scholar 

  36. Jin X, Sun Y, Que Z et al (2016) Anomaly detection and fault prognosis for bearings [J]. IEEE Trans Instrum Meas 65(9):2046–2054

    Article  Google Scholar 

  37. Lawson CL, Hanson RJ (1995) Solving least squares problems [M]. SIAM

  38. Qiu H, Lee J, Lin J et al (2006) Wavelet filter-based weak signature detection method and its application on rolling element bearing prognostics [J]. J Sound Vib 289(4–5):1066–1090

    Article  Google Scholar 

  39. Coble JB (2010) Merging data sources to predict remaining useful life–an automated method to identify prognostic parameters [J].

  40. Wang H, Li M (2021) Comput Electr Eng 92:107156YUE X. IncLSTM: incremental ensemble LSTM model towards time series data [J]

Download references

Acknowledgements

This work was supported in part by the National Natural Science Foundation of China (Grants 61976141 and 51807124), in part by the State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures of Shijiazhuang Tiedao University (Grant KF2022-10).

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Correspondence to Qiang Liu.

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Liu, J., Hao, R., Liu, Q. et al. Prediction of remaining useful life of rolling element bearings based on LSTM and exponential model. Int. J. Mach. Learn. & Cyber. 14, 1567–1578 (2023). https://doi.org/10.1007/s13042-023-01807-8

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