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Multi-model ensemble deep learning method for intelligent fault diagnosis with high-dimensional samples

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Abstract

Deep learning has achieved much success in mechanical intelligent fault diagnosis in recent years. However, many deep learning methods cannot fully extract fault information to recognize mechanical health states when processing high-dimensional samples. Therefore, a multi-model ensemble deep learning method based on deep convolutional neural network (DCNN) is proposed in this study to accomplish fault recognition of high-dimensional samples. First, several 1D DCNN models with different activation functions are trained through dimension reduction learning to obtain different fault features from high-dimensional samples. Second, the obtained features are constructed into 2D images with multiple channels through a conversion method. The integrated 2D feature images can effectively represent the fault characteristic contained in raw high-dimension vibration signals. Lastly, a 2D DCNN model with multilayer convolution and pooling is used to automatically learn features from the 2D images and identify the fault mode of the mechanical equipment by adopting a softmax classifier. The proposed method, which is validated using the bearing public dataset of Case Western Reserve University, USA and a one-stage reduction gearbox dataset, has high recognition accuracy. Compared with other classical deep learning methods, the proposed fault diagnosis method has considerable improvements.

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Abbreviations

1D:

One-dimensional

2D:

Two-dimensional

conv:

Convolutional layer

CNN:

Convolutional neural network

DBN:

Deep belief network

DCAE:

Deep convolutional autoencoder

DCNN:

Deep convolutional neural network

DNN:

Deep neural network

DR:

Dropout layer

FC:

Fully-connected layer

IR:

Inner race fault state of the bearing in case study 1

MMEDL:

Multi-model ensemble deep learning

N:

Normal state of the bearing in case study 1

OR:

Outer race fault state of the bearing in case study 1

pool:

Max pooling layer

RE:

Rolling element fault state of the bearing in case study 1

SVM:

Support vector machine

t-SNE:

t-distributed stochastic neighbor embedding

b :

bias of the neurons in Eq. (1)

d k :

Length of the trainable filters in Eq. (1)

k :

Trainable filters in Eq. (1)

L c :

Length of the gear crack in case study 2

R c :

Radius of the root circle of the main driving wheel in case study 2

r h :

Radius of the center hole of the main driving wheel in case study 2

x :

Input of the convolution layer in Eq. (1)

s :

Nonlinear activation functions in Eq. (1)

References

  1. Liu R, Yang B, Zio E, et al. Artificial intelligence for fault diagnosis of rotating machinery: A review. Mechanical Systems and Signal Processing, 2018, 108: 33–47

    Article  Google Scholar 

  2. Zhang H. Fault diagnosis and life prediction of mechanical equipment based on artificial intelligence. Journal of Intelligent & Fuzzy Systems, 2018, 37(3): 3535–3544

    Google Scholar 

  3. Jia F, Lei Y, Guo L, et al. A neural network constructed by deep learning technique and its application to intelligent fault diagnosis of machines. Neurocomputing, 2018, 272: 619–628

    Article  Google Scholar 

  4. Liu J, Hu Y, Wang Y, et al. An integrated multi-sensor fusion-based deep feature learning approach for rotating machinery diagnosis. Measurement Science & Technology, 2018, 29(5): 055103

    Article  Google Scholar 

  5. Azamfar M, Li X, Lee J. Intelligent ball screw fault diagnosis using a deep domain adaptation methodology. Mechanism and Machine Theory, 2020, 151: 103932

    Article  Google Scholar 

  6. Ainapure A, Li X, Singh J, et al. Enhancing intelligent cross-domain fault diagnosis performance on rotating machines with noisy health labels. Procedia Manufacturing, 2020, 48: 940–946

    Article  Google Scholar 

  7. Zhang X, Guo S, Jiang L. Semi-supervised fault identification based on improved Laplace feature mapping and constraint seed K-means. Journal of Vibration and Shock, 2019, 38(16): 93–99 (in Chinese)

    Google Scholar 

  8. Widodo A, Yang B S. Support vector machine in machine condition monitoring and fault diagnosis. Mechanical Systems and Signal Processing, 2007, 21(6): 2560–2574

    Article  Google Scholar 

  9. Sun Y, Zhang S, Miao C, et al. Improved BP neural network for transformer fault diagnosis. Journal of China University of Mining and Technology, 2007, 17(1): 138–142

    Article  Google Scholar 

  10. Liu J, Hu Y, Wu B, et al. A hybrid generalized hidden markov model-based condition monitoring approach for rolling bearings. Sensors (Basel), 2017, 17(5): 1143

    Article  Google Scholar 

  11. Hoang D T, Kang H J. A survey on deep learning based bearing fault diagnosis. Neurocomputing, 2019, 335: 327–335

    Article  Google Scholar 

  12. Li X, Li J, Qu Y, et al. Semi-supervised gear fault diagnosis using raw vibration signal based on deep learning. Chinese Journal of Aeronautics, 2020, 33(2): 418–426

    Article  Google Scholar 

  13. Zhang W, Li C, Peng G, et al. A deep convolutional neural network with new training methods for bearing fault diagnosis under noisy environment and different working load. Mechanical Systems and Signal Processing, 2018, 100: 439–453

    Article  Google Scholar 

  14. Schmidhuber J. Deep learning in neural networks: An overview. Neural Networks, 2015, 61: 85–117

    Article  Google Scholar 

  15. Tang S, Yuan S, Zhu Y. Deep learning-based intelligent fault diagnosis methods toward rotating machinery. IEEE Access: Practical Innovations, Open Solutions, 2020, 8: 9335–9346

    Article  Google Scholar 

  16. Jing L, Wang T, Zhao M, et al. An adaptive multi-sensor data fusion method based on deep convolutional neural networks for fault diagnosis of planetary gearbox. Sensors (Basel), 2017, 17(2): 414

    Article  Google Scholar 

  17. Zhu J, Hu T, Jiang B, et al. Intelligent bearing fault diagnosis using PCA-DBN framework. Neural Computing & Applications, 2020, 32(14): 10773–10781

    Article  Google Scholar 

  18. Lecun Y, Bottou L, Bengio Y, et al. Gradient-based learning applied to document recognition. Proceedings of the IEEE, 1998, 86(11): 2278–2324

    Article  Google Scholar 

  19. Zhao D, Wang T, Chu F. Deep convolutional neural network based planet bearing fault classification. Computers in Industry, 2019, 107: 59–66

    Article  Google Scholar 

  20. Chen H, Hu N, Cheng Z, et al. A deep convolutional neural network based fusion method of two-direction vibration signal data for health state identification of planetary gearboxes. Measurement, 2019, 146: 268–278

    Article  Google Scholar 

  21. Wu C, Jiang P, Ding C, et al. Intelligent fault diagnosis of rotating machinery based on one-dimensional convolutional neural network. Computers in Industry, 2019, 108: 53–61

    Article  Google Scholar 

  22. Kumar A, Zhou Y, Gandhi C P, et al. Bearing defect size assessment using wavelet transform based deep convolutional neural network (DCNN). Alexandria Engineering Journal, 2020, 59(2): 999–1012

    Article  Google Scholar 

  23. Li Y, Du X, Wan F, et al. Rotating machinery fault diagnosis based on convolutional neural network and infrared thermal imaging. Chinese Journal of Aeronautics, 2020, 33(2): 427–438

    Article  Google Scholar 

  24. Wen L, Li X, Gao L, et al. A new convolutional neural network-based data-driven fault diagnosis method. IEEE Transactions on Industrial Electronics, 2018, 65(7): 5990–5998

    Article  Google Scholar 

  25. Xue Y, Dou D, Yang J. Multi-fault diagnosis of rotating machinery based on deep convolution neural network and support vector machine. Measurement, 2020, 156: 107571

    Article  Google Scholar 

  26. Hu Z X, Wang Y, Ge M F, et al. Data-driven fault diagnosis method based on compressed sensing and improved multiscale network. IEEE Transactions on Industrial Electronics, 2020, 67(4): 3216–3225

    Article  Google Scholar 

  27. Li H, Huang J, Ji S. Bearing fault diagnosis with a feature fusion method based on an ensemble convolutional neural network and deep neural network. Sensors (Basel), 2019, 19(9): 2034

    Article  Google Scholar 

  28. Zhou Q, Li Y, Tian Y, et al. A novel method based on nonlinear auto-regression neural network and convolutional neural network for imbalanced fault diagnosis of rotating machinery. Measurement, 2020, 161: 107880

    Article  Google Scholar 

  29. Pezzotti N, Lelieveldt B, Maaten L, et al. Approximated and user steerable tSNE for progressive visual analytics. IEEE Transactions on Visualization and Computer Graphics, 2017, 23(7): 1739–1752

    Article  Google Scholar 

  30. Smith W A, Randall R B. Rolling element bearing diagnostics using the case western reserve university data: A benchmark study. Mechanical Systems and Signal Processing, 2015, 64–65: 100–131

    Article  Google Scholar 

  31. Srivastava N, Hinton G, Krizhevsky A, et al. Dropout: A simple way to prevent neural networks from overfitting. Journal of Machine Learning Research, 2014, 15(1): 1929–1958

    MathSciNet  MATH  Google Scholar 

  32. Agostini C E, Sampaio M A. Probabilistic neural network with bayesian-based, spectral torque imaging and deep convolutional autoencoder for PDC bit wear monitoring. Journal of Petroleum Science Engineering, 2020, 193: 107434

    Article  Google Scholar 

  33. Jia F, Lei Y, Lin J, et al. Deep neural networks: A promising tool for fault characteristic mining and intelligent diagnosis of rotating machinery with massive data. Mechanical Systems and Signal Processing, 2016, 72–73: 303–315

    Article  Google Scholar 

  34. Zhang X, Guo S, Li Y, et al. Semi-supervised fault identification based on laplacian eigenmap and deep belief networks. Journal of Mechanical Engineering, 2019, 56(1): 69

    Article  Google Scholar 

  35. Gong W, Chen H, Zhang Z, et al. A novel deep learning method for intelligent fault diagnosis of rotating machinery based on improved CNN-SVM and multichannel data fusion. Sensors (Basel), 2019, 19(7): 1693

    Article  Google Scholar 

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Acknowledgements

This study was financially supported by the National Key R&D Program of China (Grant No. 2017YFD0400405).

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Correspondence to Youmin Hu.

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Zhang, X., Huang, T., Wu, B. et al. Multi-model ensemble deep learning method for intelligent fault diagnosis with high-dimensional samples. Front. Mech. Eng. 16, 340–352 (2021). https://doi.org/10.1007/s11465-021-0629-3

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  • DOI: https://doi.org/10.1007/s11465-021-0629-3

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