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A mechanical data analysis using kurtogram and extreme learning machine

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Abstract

Today’s industry demands precise functioning and zero failure of rotating machinery (RM) to avoid disastrous accidents as well as financial losses. Rolling element bearings (REBs) are the heart of RM. Therefore, as early as possible to provide the significant time for maintenance planning, an intelligent diagnosis of REB fault is a critical and challenging task. Thus, this paper presents an efficient method for fault diagnosis. The proposed method mainly consists of two consecutive units: (1) generation of kurtogram of raw vibration signal and (2) training of extreme learning machine (ELM) classifier using kurtogram. Kurtogram has a distinct capability to represent the hidden non-stationary components of a raw signal. Therefore, it is considered as a unique feature vector for fault classification. ELM is a well-organized fast learning method proposed by Huang et al. and showed that it is better than traditional learning algorithms. However, one of the open issues of ELM is to design compact-size ELM architecture by preserving the accuracy of the solution. Thus, improved random increment ELM is proposed in this paper. Initially, it randomly adds the nodes to network architecture to rapidly reduce the residual error up to the predefined threshold and then sequentially adds the nodes to the network architecture for further reducing the residual error. Performance of the proposed routine is evaluated by REB vibration data: artificially generated vibration data and Case Western Reserve University bearing data. The experimental study reveals the classification accuracy of the proposed approach with both the datasets for various faults and also compared with existing methods.

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References

  1. Antoni J (2007) Fast computation of the kurtogram for the detection of transient faults. Mech Syst Signal Process 21(1):108–124

    Article  Google Scholar 

  2. Antoni J, Randall R (2006) The spectral kurtosis: application to the vibratory surveillance and diagnostics of rotating machines. Mech Syst Signal Process 20(2):308–331

    Article  Google Scholar 

  3. Cao W, Ming Z, Wang X, Cai S (2019) Improved bidirectional extreme learning machine based on enhanced random search. Memet Comput 11(1):19–26

    Article  Google Scholar 

  4. (2009) Case western reserve university bearing data center website. https://csegroups.case.edu/bearingdatacenter/home

  5. Chen X, Feng F, Zhang B (2016) Weak fault feature extraction of rolling bearings based on an improved kurtogram. Sensors 16(9):1482

    Article  Google Scholar 

  6. Dwyer R (1983) Detection of non-Gaussian signals by frequency domain kurtosis estimation. In: ICASSP ’83. IEEE international conference on acoustics, Speech, and Signal Processing, vol 8, pp 607–610

  7. El-Thalji I, Jantunen E (2015) A summary of fault modelling and predictive health monitoring of rolling element bearings. Mech Syst Signal Process 60:252–272

    Article  Google Scholar 

  8. Han F, Zhao MR, Zhang JM, Ling QH (2017) An improved incremental constructive single-hidden-layer feedforward networks for extreme learning machine based on particle swarm optimization. Neurocomputing 228:133–142

    Article  Google Scholar 

  9. Hernandez-Vargas M, Cabal-Yepez E, Garcia-Perez A (2014) Real-time svd-based detection of multiple combined faults in induction motors. Comput Electr Eng 40(7):2193–2203

    Article  Google Scholar 

  10. Huang G, Huang GB, Song S, You K (2015) Trends in extreme learning machines: a review. Neural Netw 61:32–48

    Article  Google Scholar 

  11. Huang GB, Chen L (2008) Enhanced random search based incremental extreme learning machine. Neurocomputing 71(16):3460–3468

    Article  Google Scholar 

  12. Huang GB, Zhu QY, Siew CK (2004) Extreme learning machine: a new learning scheme of feed forward neural networks. In: 2004 IEEE international joint conference on neural networks (IEEE Cat. No.04CH37541), vol 2, pp 985–990

  13. Huang GB, Chen L, Siew CK (2006) Universal approximation using incremental constructive feedforward networks with random hidden nodes. IEEE Trans Neural Netw 17(4):879–892

    Article  Google Scholar 

  14. Huang Z, Yu Y, Gu J, Liu H (2017) An efficient method for traffic sign recognition based on extreme learning machine. IEEE Trans Cybernet 47(4):920–933

    Article  Google Scholar 

  15. Immovilli F, Cocconcelli M, Bellini A, Rubini R (2009) Detection of generalized-roughness bearing fault by spectral-kurtosis energy of vibration or current signals. IEEE Trans Ind Electron 56(11):4710–4717

    Article  Google Scholar 

  16. Kan MS, Tan AC, Mathew J (2015) A review on prognostic techniques for non-stationary and non-linear rotating systems. Mech Syst Signal Process 62:1–20

    Article  Google Scholar 

  17. Leite VCMN, da Silva JGB, Veloso GFC, da Silva LEB, Lambert-Torres G, Bonaldi EL, de Oliveira LEL (2015) Detection of localized bearing faults in induction machines by spectral kurtosis and envelope analysis of stator current. IEEE Trans Ind Electron 62(3):1855–1865

    Article  Google Scholar 

  18. Liu H, Huang W, Wang S, Zhu Z (2014) Adaptive spectral kurtosis filtering based on Morlet wavelet and its application for signal transients detection. Signal Process 96(Part A):118–124

    Article  Google Scholar 

  19. Mao W, He L, Yan Y, Wang J (2017) Online sequential prediction of bearings imbalanced fault diagnosis by extreme learning machine. Mech Syst Signal Process 83:450–473

    Article  Google Scholar 

  20. Miche Y, Sorjamaa A, Bas P, Simula O, Jutten C, Lendasse A (2010) Op-elm: optimally pruned extreme learning machine. IEEE Trans Neural Netw 21(1):158–162

    Article  Google Scholar 

  21. Prieto MD, Cirrincione G, Espinosa AG, Ortega JA, Henao H (2013) Bearing fault detection by a novel condition-monitoring scheme based on statistical-time features and neural networks. IEEE Trans Ind Electron 60(8):3398–3407

    Article  Google Scholar 

  22. Rai A, Upadhyay S (2016) A review on signal processing techniques utilized in the fault diagnosis of rolling element bearings. Tribol Int 96(Supplement C):289–306

    Article  Google Scholar 

  23. Suresh S, Saraswathi S, Sundararajan N (2010) Performance enhancement of extreme learning machine for multi-category sparse data classification problems. Eng Appl Artif Intell 23(7):1149–1157

    Article  Google Scholar 

  24. Tang G, Zhou F, Liao X (2016) Fault diagnosis for rolling bearing based on improved enhanced kurtogram method. In: 2016 13th international conference on ubiquitous robots and ambient intelligence (URAI), pp 881–886

  25. Tian J, Morillo C, Pecht MG (2013) Rolling element bearing fault diagnosis using simulated annealing optimized spectral kurtosis. In: 2013 IEEE conference on prognostics and health management (PHM), pp 1–5

  26. Tian X, Gu JX, Rehab I, Abdalla GM, Gu F, Ball A (2018) A robust detector for rolling element bearing condition monitoring based on the modulation signal bispectrum and its performance evaluation against the kurtogram. Mech Syst Signal Process 100:167–187

    Article  Google Scholar 

  27. Tian Y, Ma J, Lu C, Wang Z (2015) Rolling bearing fault diagnosis under variable conditions using lmd-svd and extreme learning machine. Mech Mach Theory 90:175–186

    Article  Google Scholar 

  28. Udmale SS, Singh SK (2019) Application of spectral kurtosis and improved extreme learning machine for bearing fault classification. IEEE Trans Instrum Meas. https://doi.org/10.1109/TIM.2018.2890329

    Article  Google Scholar 

  29. Udmale SS, Patil SS, Phalle VM, Singh SK (2018) A bearing vibration data analysis based on spectral kurtosis and convnet. Soft Comput. https://doi.org/10.1007/s00500-018-3644-5

    Article  Google Scholar 

  30. Udmale SS, Singh SK, Bhirud SG (2019) A bearing data analysis based on kurtogram and deep learning sequence models. Measurement 145:665–677

    Article  Google Scholar 

  31. Wang D, Tse PW, Tsui KL (2013) An enhanced kurtogram method for fault diagnosis of rolling element bearings. Mech Syst Signal Process 35(1):176–199

    Article  Google Scholar 

  32. Wang Y, Xiang J, Markert R, Liang M (2016) Spectral kurtosis for fault detection, diagnosis and prognostics of rotating machines: a review with applications. Mech Syst Signal Process 66–67:679–698

    Article  Google Scholar 

  33. Zaki MJ, Meira W Jr, Meira W (2014) Data mining and analysis: fundamental concepts and algorithms. Cambridge University Press, Cambridge, pp 548–583

    Book  Google Scholar 

  34. Zhang P, Du Y, Habetler TG, Lu B (2011) A survey of condition monitoring and protection methods for medium-voltage induction motors. IEEE Trans Ind Appl 47(1):34–46

    Article  Google Scholar 

  35. Zhang X, Kang J, Xiao L, Zhao J, Teng H (2015) A new improved kurtogram and its application to bearing fault diagnosis. Shock Vib 2015:385412. https://doi.org/10.1155/2015/385412

    Article  Google Scholar 

  36. Zhang Y, Randall R (2009) Rolling element bearing fault diagnosis based on the combination of genetic algorithms and fast kurtogram. Mech Syst Signal Process 23(5):1509–1517

    Article  Google Scholar 

  37. Zhao Z, Xu Q, Jia M (2016a) Improved shuffled frog leaping algorithm-based bp neural network and its application in bearing early fault diagnosis. Neural Comput Appl 27(2):375–385

    Article  Google Scholar 

  38. Zhao Z, Zhang J, Sun Y, Tian H (2016b) Fault detection and diagnosis method for batch process based on elm-based fault feature phase identification. Neural Comput Appl 27(1):167–173

    Article  Google Scholar 

Download references

Acknowledgements

Authors would like to acknowledge TEQIP-III and TEQIP-II (subcomponent 1.2.1) Centre of Excellence in Complex and Nonlinear Dynamical Systems (CoE-NDS), VJTI, Matunga, Mumbai-400019, India, for providing experimental environment. Also, acknowledge the AICTE, New Delhi, India, for providing the higher studies opportunity.

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Correspondence to Sandeep S. Udmale.

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Udmale, S.S., Singh, S.K. A mechanical data analysis using kurtogram and extreme learning machine. Neural Comput & Applic 32, 3789–3801 (2020). https://doi.org/10.1007/s00521-019-04398-0

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