Abstract
A comparative analysis of machine learning techniques for fault diagnosis of rotating machines based on images of vibration spectra is presented. The feature extraction of different types of faults, including unbalance, misalignment, shaft crack, rotor–stator rubbing, and hydrodynamic instability, is performed by processing spectral images of vibration orbits acquired during the machine run-up. The classifiers are trained with simulated data and tested with both simulated and experimental data. The latter are obtained from laboratory measurements performed on an rotor-disc system supported on hydrodynamic bearings. To generate the simulated data, a numerical model is developed using the finite element method. Deep learning, ensemble and traditional classification methods are evaluated. The ability of the methods to generalize the image classification is evaluated based on their performance in classifying experimental test patterns that were not used during training. The results of this research indicate that, despite considerable computational cost, the method based on convolutional neural networks presents the best performance.
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References
Adiletta, G., Guido, A. R., & Rossi, C. (1996). Chaotic motions of a rigid rotor in short journal bearings. Nonlinear Dynamics, 10(3), 251–269.
Amar, M., Gondal, I., & Wilson, C. (2015). Vibration spectrum imaging. IEEE Transactions on Industrial Electronics, 62(1), 494–502. https://doi.org/10.1109/tie.2014.2327555.
Ascencio, A. F. G., & de Araújo, G. S. (2010). Estruturas de dados. Pearson.
Atienza, R. (2018). Advanced deep learning with Keras. Packt Publishing.
Bin, G. F., Gao, J. J., Li, X. J., & Dhillon, B. S. (2012). Early fault diagnosis of rotating machinery based on wavelet packets-empirical mode decomposition feature extraction and neural network. Mechanical Systems and Signal Processing, 27, 696–711. https://doi.org/10.1016/j.ymssp.2011.08.002.
Bottou, L., Cortes, C., Denker, J. S., Drucker, H., Guyon, I., Jackel, L. D., LeCun, Y., Muller, U. A., Sackinger, E., Simard, P., & Vapnik, V. (1994). Comparison of classifier methods: A case study in handwritten digit recognition (Cat. No. 94CH3440-5). IEEE Comput. Soc. Press. https://doi.org/10.1109/icpr.1994.576879
Breiman, L. (1996). Bagging predictors. Machine Learning, 24(2), 123–140.
Chandra, N. H., & Sekhar, A. S. (2016). Fault detection in rotor bearing systems using time frequency techniques. Mechanical Systems and Signal Processing, 72–73, 105–133. https://doi.org/10.1016/j.ymssp.2015.11.013.
Ciabattoni, L., Ferracuti, F., Freddi, A., & Monteriu, A. (2018). Statistical spectral analysis for fault diagnosis of rotating machines. IEEE Transactions on Industrial Electronics, 65(5), 4301–4310. https://doi.org/10.1109/tie.2017.2762623.
Friswell, M. I., Penny, J. E. T., Garvey, S. D., & Lees, A. W. (2010). Dynamics of rotating machines. Cambridge University Press.
Gibbons, C. B. (1976). Coupling misalignment forces.
Goldman, P., & Muszynska, A. (1999). Application of full spectrum to rotating machinery diagnostics. Orbit, 20(1), 17–21.
Han, Q., Zhang, Z., & Wen, B. (2008). Periodic motions of a dual-disc rotor system with rub-impact at fixed limiter. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 222(10), 1935–1946.
Ho, T. K. (1998). Nearest neighbors in random subspaces. In A. Amin, D. Dori, P. Pudil, & H. Freeman (Eds.), Advances in pattern recognition (pp. 640–648). Springer.
Jardine, A. K. S., Lin, D., & Banjevic, D. (2006). A review on machinery diagnostics and prognostics implementing condition-based maintenance. Mechanical Systems and Signal Processing, 20(7), 1483–1510.
Jeong, H., Park, S., Woo, S., & Lee, S. (2016). Rotating machinery diagnostics using deep learning on orbit plot images. Procedia Manufacturing, 5, 1107–1118. https://doi.org/10.1016/j.promfg.2016.08.083.
Jolliffe, I. T. (2002). Principal component analysis. Springer.
Lalanne, M., & Ferraris, G. (2001). Rotordynamics prediction in engineering (2nd ed.). Wiley.
Laws, B. (1998). When you use spectrum, don’t use it halfway. Orbit, 18(2), 23–26.
Li, W., Zhu, Z., Jiang, F., Zhou, G., & Chen, G. (2015). Fault diagnosis of rotating machinery with a novel statistical feature extraction and evaluation method. Mechanical Systems and Signal Processing, 50–51, 414–426. https://doi.org/10.1016/j.ymssp.2014.05.034.
Lin, Z., Chen, Y., Zhao, X., & Wang, G. (2013). Spectral-spatial classification of hyperspectral image using autoencoders. . https://doi.org/10.1109/icics.2013.6782778
Liu, R., Yang, B., Zio, E., & Chen, X. (2018). Artificial intelligence for fault diagnosis of rotating machinery: A review. Mechanical Systems and Signal Processing, 108, 33–47. https://doi.org/10.1016/j.ymssp.2018.02.016.
Lu, C., Wang, Y., Ragulskis, M., & Cheng, Y. (2016). Fault diagnosis for rotating machinery: A method based on image processing. PLOS, ONE,11(10), e0164111. https://doi.org/10.1371/journal.pone.0164111.
Mayes, I. W., & Davies, W. G. R. (1984). Analysis of the response of a multi-rotor-bearing system containing a transverse crack in a rotor. Journal of Vibration Acoustics Stress and Reliability in Design, 106(1), 139. https://doi.org/10.1115/1.3269142.
Muszynska, A. (2005). Rotordynamics (1st ed.). CRC Press. https://doi.org/10.1201/9781420027792
Neal, B. (2019). On the bias-variance tradeoff: Textbooks need an update. CoRR abs/1912.08286, arXiv:1912.08286
Papadopoulos, C. A., & Dimarogonas, A. D. (1987). Coupled longitudinal and bending vibrations of a rotating shaft with an open crack. Journal of Sound and Vibration, 117(1), 81–93. https://doi.org/10.1016/0022-460x(87)90437-8.
Rodrigues, C. E. (2020). Machine learning application for fault classification in rotating machines using orbit spectra (in Portuguese). Master’s thesis, Instituto Tecnológico de Aeronáutica. São Josédos Campos, SP, Brazil.
Rodrigues, C. E., Nascimento, Jr. C. L., & Rade, D. A. (2020). Machine learning techniques for fault diagnosis of rotating machines using spectrum image of vibration orbits. In Anais do Congresso Brasileiro de Automática 2020. https://doi.org/10.48011/asba.v2i1.1101
Sekhar, A. S., & Prabhu, B. S. (1992). Crack detection and vibration characteristics of cracked shafts. Journal of Sound and Vibration, 157(2), 375–381. https://doi.org/10.1016/0022-460x(92)90690-y.
Sekhar, A. S., & Prabhu, B. S. (1995). Effects of coupling misalignment on vibrations of rotating machinery. Journal of Sound and Vibration, 185(4), 655–671. https://doi.org/10.1006/jsvi.1995.0407.
Sokolova, M., & Lapalme, G. (2009). A systematic analysis of performance measures for classification tasks. Information Processing & Management, 45(4), 427–437. https://doi.org/10.1016/j.ipm.2009.03.002.
Solomon, C., & Gibson, S. (2011). Fundamentals of digital image processing. Wiley.
Sorzano, C. O. S., Vargas, J., & Montano, A. P. (2014). A survey of dimensionality reduction techniques. arXiv preprint arXiv:1403.2877
Southwick, D. (1993). Using full spectrum plots. Orbit, 14(4), 12–16.
Southwick, D. (1994). Using full spectrum plots part 2. Orbit, 15(2), 12–16.
Vaishnavi, S. (2017). Ensemble methods and random forests. University of Illinois, https://courses.engr.illinois.edu/ece543/sp2017/projects/Vaishnavi Subramanian.pdf
Wei, L., & Xu, H. (2019). A review of early fault diagnosis approaches and their applications in rotating machinery. Entropy, 21(4), 409. https://doi.org/10.3390/e21040409.
Acknowledgements
An early version of paper was presented at XXIII Congresso Brasileiro de Automática (CBA 2020). The authors express their appreciation to the Petrobras company for making the experimental test bench available for this research. D. A. Rade also gratefully acknowledges the funding provided by Fundação de Amparo à Pesquisa do Estado de São Paulo - FAPESP (grant #2015/20363-6).
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Rodrigues, C.E., Júnior, C.L.N. & Rade, D.A. Application of Machine Learning Techniques and Spectrum Images of Vibration Orbits for Fault Classification of Rotating Machines. J Control Autom Electr Syst 33, 333–344 (2022). https://doi.org/10.1007/s40313-021-00805-x
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DOI: https://doi.org/10.1007/s40313-021-00805-x