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Harnessing fuzzy neural network for gear fault diagnosis with limited data labels

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Abstract

Diagnosis and prognosis of gear systems play an important role in modern manufacturing. While first-principle-based inverse analysis is subject to various limitations, data-driven approaches such as many machine learning techniques have shown great promise in recent years. Nevertheless, major challenges remain. Machine learning generally requires large amount of high-quality training data which may not be available for many industrial systems. In particular, while gear faults are continuous in nature and exhibit many different scenarios, in practical situations owing to the high cost in data acquisition especially for fault scenarios, only a small number of discrete classes of faults, i.e., fault types and severities, can be recorded and employed in training. As such, the neural networks trained will need to deal with unseen faults when they are actually implemented. To tackle this challenge, in this research, we develop a fuzzy classification approach capable of handling fault scenarios that are not included in the training dataset. Through the integration of a fuzzification procedure, this fuzzy neural network (FNN) can produce classification outcome with probability and confidence level. An unseen fault scenario will be classified into the nearest fault class with probability, effectively yielding the diagnosis result under limited data. While fault features in gear vibration signals are hidden and have complex nonlinear relations with respect to fault scenarios, it is found that the kernel principal component analysis (KPCA) can enable the FNN to facilitate the correlation of fault features. Systematic case studies using experimental data acquired from a lab-scale gear system are carried out to validate the new approach.

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References

  1. Ahuja AS, Ramteke DS, Parey A (2020) Vibration-based fault diagnosis of a bevel and spur gearbox using continuous wavelet transform and adaptive neural-fuzzy inference system. Adv Intelligent Syst Comp 1096:473–496

    Article  Google Scholar 

  2. Amarouayache IIE, Saadi MN, Guersi N, Boutasseta N (2020) Bearing fault diagnostics using EEMD processing and convolutional neural network methods. Int J Adv Manuf Technol 107(9-10):4077–4095

    Article  Google Scholar 

  3. Bishop CM (2006) Pattern recognition and machine learning. Springer, Cambridge

    MATH  Google Scholar 

  4. Boyd S, Vandenberghe L (2018) 2018, Introduction to applied linear algebra: vectors, matrices, and least squares. Cambridge University Press, Cambridge

    Book  Google Scholar 

  5. Buzzoni M, Antoni J, D’Elia G (2018) Blind deconvolution based on cyclostationarity maximization and its application to fault identification. J Sound Vib 432:569–601

    Article  Google Scholar 

  6. Cao P, Zhang S, Tang J (2018) Pre-processing-free gear fault diagnosis using small datasets with deep convolutional neural network-based transfer learning. IEEE Access 6:26241–26253

    Article  Google Scholar 

  7. Chen G, Zhang W (2018) Comprehensive evaluation method for performance of unmanned robot applied to automotive test using fuzzy logic and evidence theory. Comput Ind 98:48–55

  8. Chen Z, Zhang J, Zhai W, Wang Y, Liu J (2017) Improved analytical methods for calculation of gear tooth fillet-foundation stiffness with tooth root crack. Eng Fail Anal 82:72–81

    Article  Google Scholar 

  9. Chen J, Zhou D, Guo Z, Lin J, Lyu C, Lu C (2019) An active learning method based on uncertainty and complexity for gearbox fault diagnosis. IEEE Access 7:9022–9031

    Article  Google Scholar 

  10. Cheng G, Cheng YL, Shen LH, Qiu JB, Zhang S (2013) Gear fault identification based on Hilbert-Huang transform and SOM neural network. Measurement: Journal of the International Measurement Confederation 46(3):1137–1146

    Article  Google Scholar 

  11. Chen C, Shen F, Xu J, Yan R (2021) Domain adaptation-based transfer learning for gear fault diagnosis under varying working conditions. IEEE Trans Instrum Meas 70:9146579

  12. Deng X, Tian X (2013) Nonlinear process fault pattern recognition using statistics kernel PCA similarity factor. Neurocomputing 121:298–308

    Article  Google Scholar 

  13. Dibaj A, Ettefagh MM, Hassannejad R, and Ehghaghi MB, (2019), “Fine-tuned variational mode decomposition for fault diagnosis of rotary machinery,” Structural Health Monitoring, in press.

  14. Fakhfakh T, Chaari F, Haddar M (2005) Numerical and experimental analysis of a gear system with teeth defects. Int J Adv Manuf Technol 25(5-6):542–550

    Article  Google Scholar 

  15. Fuller R, 2013, Introduction to neural-fuzzy systems, Springer Sci Bus Media, 2013.

  16. Gao B, He Y, Woo WL, Tian GY, Liu J, Hu Y (2016) Multidimensional tensor-based inductive thermography with multiple physical fields for offshore wind turbine gear inspection. IEEE Trans Ind Electron 63(10):6305–6315

    Article  Google Scholar 

  17. Haykin S, (1998) Neural networks: a comprehensive foundation (2nd edition), Prentice Hall.

  18. He Z, Shao H, Wang P, Lin JJ, Cheng J, Yang Y (2020) Deep transfer multi-wavelet auto-encoder for intelligent fault diagnosis of gearbox with few target training samples. Knowl-Based Syst 191:105313

    Article  Google Scholar 

  19. Jing L, Zhao M, Li P, Xu X (2017) A convolutional neural network based feature learning and fault diagnosis method for the condition monitoring of gearbox. Measurement: Journal of the International Measurement Confederation 111:1–10

    Article  Google Scholar 

  20. Jolliffe IT, (2002) Principal component analysis, Springer Science & Business Media.

  21. Li Y, Cheng G, Liu C, Chen X (2018) Study on planetary gear fault diagnosis based on variational mode decomposition and deep neural networks. Measurement: Journal of the International Measurement Confederation 130:94–104

    Article  Google Scholar 

  22. Li Y, Feng K, Liang X, Zou MJ (2019a) A fault diagnosis method for planetary gearboxes under non-stationary working conditions using improved vold-Karlman filter and multi-scale sample entropy. J Sound Vib 439:271–286

    Article  Google Scholar 

  23. Li F, Pang X, Yang Z (2019b) Motor current signal analysis using deep neural network for planetary gear fault diagnosis. Measurement: Journal of the International Measurement Confederation 145:45–54

    Article  Google Scholar 

  24. Li Z, Yan X, Yuan C, Peng Z, Li L (2011) Virtual prototype and experimental research on gear multi-fault diagnosis using wavelet-autoregressive model and principal component analysis method. Mech Syst Signal Process 25(7):2589–2607

    Article  Google Scholar 

  25. Liu PY, and Li HX, (2004) Fuzzy neural network theory and application, World Sci.

  26. Moosavian A, Khazaee M, Ahmadi H, Khazaee M, Najafi G (2015) Fault diagnosis and classification of water pump using adaptive neuro-fuzzy inference system based on vibration signals. Struct Health Monit 14(5):402–410

    Article  Google Scholar 

  27. Nguyen CD, Prosvirin A, Kim JM (2020) A reliable fault diagnosis method for a gearbox system with varying rotational speeds. Sensors 20(11):3105

    Article  Google Scholar 

  28. Pandya Y, Parey A (2013) Failure path based modified gear mesh stiffness for spur gear pair with tooth root crack. Eng Fail Anal 27:286–296

    Article  Google Scholar 

  29. Randall RB, Antoni J, Chobsaard S (2001) The relationship between spectral correlation and envelope analysis in the diagnostics of bearing faults and other cyclostationary machine signals. Mech Syst Signal Process 15(5):945–962

    Article  Google Scholar 

  30. Sadollah A, (2018) Introductory chapter: which membership function is appropriate in fuzzy system?, Fuzzy logic based in optimization methods and control systems and its applications, IntechOpen

  31. Sammut C, and Webb GI, (2010) Encyclopedia of Machine Learning and Data Mining, Springer.

  32. Saravanan N, Cholarirajan S, Ramachandram KI (2009) Vibration-based fault diagnosis of spur bevel gear box using fuzzy technique. Expert Syst Appl 36:3119–3135

    Article  Google Scholar 

  33. Soualhi M, Nguyen KTP, Soualhi A, Medjaher K, Hemsas KE (2019) Health monitoring of bearing and gear faults by using a new health indicator extracted from current signals. Measurement: Journal of the International Measurement Confederation 141:37–51

    Article  Google Scholar 

  34. Villa LF, Renones A, Peran JR, De Miguel LJ (2012) Statistical fault diagnosis based on vibration analysis for gear test-bench under non-stationary conditions of speed and load. Mech Syst Signal Process 29:436–446

    Article  Google Scholar 

  35. Wang J, Ma Y, Zhang L, Gao RX, Wu D (2018a) Deep learning for smart manufacturing: methods and applications. J Manuf Syst 48:144–156

    Article  Google Scholar 

  36. Wang J, Yan J, Li C, Gao RX, Zhao R (2019b) Deep heterogeneous GRU model for predictive analytics in smart manufacturing: application to tool wear prediction. Comput Ind 111:1–14

    Article  Google Scholar 

  37. Wang J, Gao RX, Yuan Z, Fan Z, Zhang L (2019a) A joint particle filter and expectation maximization approach to machine condition prognosis. J Intell Manuf 30(2):605–621

    Article  Google Scholar 

  38. Wang Q, (2012), “Kernel principal component analysis and its applications in face recognition and active shape models,” arXiv:1207.3538 [cs.CV].

  39. Wang S, Cai G, Zhu Z, Huang W, Zhang X (2015) Transient signal analysis based on Levenberg-Marquardt method for fault feature extraction of rotating machines. Mech Syst Signal Process 54:16–40

    Article  Google Scholar 

  40. Wang Z, Wang J, Wang Y (2018b) An intelligent diagnosis scheme based on generative adversarial learning deep neural networks and its application to planetary gearbox fault pattern. Neurocomputing 310:213–222

    Article  Google Scholar 

  41. Wu C, Jiang P, Ding C, Feng F, Chen T (2019) Intelligent fault diagnosis of rotating machinery based on one-dimensional convolutional neural network. Comput Ind 108:53–61

    Article  Google Scholar 

  42. Yampikulsakul N, Byon E, Huang S, Sheng S, You M (2014) Condition monitoring of wind power system with nonparametric regression analysis. IEEE Trans Energy Convers 29(2):288–299

    Article  Google Scholar 

  43. Yan R, Gao RX, Chen X (2014) Wavelets for fault diagnosis of rotary machines: a review with applications. Signal Process 96:1–15

    Article  Google Scholar 

  44. Youcef Khodja A, Guersi N, Saadi MN, Boutasseta N (2020) Rolling element bearing fault diagnosis for rotating machinery using vibration spectrum imaging and convolutional neural networks. Int J Adv Manuf Technol 106(5-6):1737–1751

    Article  Google Scholar 

  45. Zhang J, Qin W, Wu LH, Zhai WB (2014) Fuzzy neural network-based rescheduling decision mechanism for semiconductor manufacturing. Comput Ind 2014:1115–1125

    Article  Google Scholar 

  46. Zhang Y, Lu W, Chu F (2017) Planet gear fault localization for wind turbine gearbox using acoustic emission signals. Renew Energy 109:449–460

    Article  Google Scholar 

  47. Zhang C, Nie F, Xiang S (2010) A general kernelization framework for learning algorithms based on kernel PCA. Neurocomputing 73(4-6):959–967

    Article  Google Scholar 

  48. Zhang S, Tang J (2018) Integrating angle-frequency domain synchronous averaging technique with feature extraction for gear fault diagnosis. Mech Syst Signal Process 90:711–729

    Article  Google Scholar 

  49. Zhao R, Yan R, Chen Y, Mao K, Wang P, Gao RX (2019) Deep learning and its applications to machine health monitoring. Mech Syst Signal Process 115:213–237

    Article  Google Scholar 

  50. Zhang Z, Wang Y, Wang K (2013) Intelligent fault diagnosis and prognosis approach for rotating machinery integrating wavelet transform, principal component analysis and artificial neural networks. Int J Adv Manuf Technol 68(1-4):763–773

    Article  Google Scholar 

Download references

Funding

This research is supported by the National Science Foundation under grant IIS-1741174.

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K Zhou and J Tang worked together to generate the conception of the work. K Zhou carried out algorithm development and data analysis and interpretation, and drafted the paper. J Tang provided advisement to K Zhou, and also provided critical revision of the paper.

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Correspondence to Jiong Tang.

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Zhou, K., Tang, J. Harnessing fuzzy neural network for gear fault diagnosis with limited data labels. Int J Adv Manuf Technol 115, 1005–1019 (2021). https://doi.org/10.1007/s00170-021-07253-6

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  • DOI: https://doi.org/10.1007/s00170-021-07253-6

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