Abstract
Occurring of failure is accompanied by changing of energy distribution of vibroacoustic signal generated by a dynamic system. Hence, comparing the energy distributions of signals observed for technical conditions without failure and for failure states of dynamic model one has access to information about the formation and development of damaging process. The tool to estimate the probability distribution changes corresponding to changes in the distribution of signal energy can be failure oriented measure of information. The paper discusses the problem of proper selection of entropy methods, for detecting and the identification of the failures, both for the signals generated by the actual dynamic systems and simulated one. Particular attention was paid to the possibility of using bispectral entropy and singular entropy change for example signals generated during the formation and propagation of the gear tooth crack. The next interesting resultants of analyzing changes was in the entropy energy of vibration signal recorded during the tests on the back to back test-bed. It was given the observation the chosen harmonic and its modulated bands. During analysis we determined energy change as a function of time in the bands of different widths around the successive harmonics engagement. On the basis of such a limited energy of signal, the technical state of entropy was calculated.
References
Bogusz, W. (1966). Stability of nonlinear systems. Warszawa: RWN (in Polish).
Bolc, L., Boradziewicz, W., & Wójcik, M. (1991). The basis of information processing uncertain and incomplete. Warszawa: PWN (in Polish).
Dejie, Y., Yu, Y., & Junsheng, Ch. (2007). Application of time-frequency entropy method based on Hilbert-Huang transform to gear fault diagnosis. Measurement (Elsevier), 40(2007), 823–830.
Dybała, J. (2013). Vibrodiagnostics of gearboxes using NBV-based classifier: A pattern recognition approach. Mechanical Systems and Signal Processing (in Polish), 38(1), 5–22.
Dybała, J., Mączak, J., & Radkowski, S. (2006). Using of vibroacoustic signal at risk analysis. Warszawa-Radom: Wyd. ITE-PIB (in Polish).
Gałęzia, A., Gumiński, R., Jasiński, M., & Mączak, J. (2015). Use of energy operators in condition monitoring of gearboxes. In J. Awrejcewicz, M. Kaźmierczak, J. Mrozowski, & P. Olejnik (Eds.), Dynamical systems mathematical and numerical approaches (s.177–188). ISBN 978-83-7383-706-6 (in Polish).
Gumiński, R. (2010). Doctor’s thesis: Using of diagnostics information of analysis of technical risk, OWPW 2010 (in Polish).
Huang, J. (2010). Bispectrum entropy feature extraction and its application for fault diagnosis of gearbox.
Jasiński, M., & Radkowski, S. (2010). Use of bispectral-based fault detection method in the vibroacoustic diagnosis of the gearbox. Engineering Asset Lifecycle Management, 19, 651–660. doi:10.1007/978-0-85729-320-6_76 (in Polish).
Kulback, S. (1959). Information theory and statistics. New York: Willey.
Mingming, L., Yindong, J., Longlong, Ch., Wei, D., & Xinya, S. (2015). Application of information entropy in fault diagnosis of high speed train wheel set. In 3rd International Conference on Mechatronics and Industrial Informatics (ICMII 2015).
Radkowski, S. (2002). Vibroacoustic diagnostics of low-energy failure. Warszawa-Radom: Wyd. ITE (in Polish).
Shunfang, W., & Ping, L. (2015). A new feature extraction method based on the information fusion of entropy Matrix and covariance Matrix and its application in face recognition. Entropy, 17, 4664–4683. doi:10.3390/e17074664.
Stratowicz, R. L. (1975). Information theory radio. Moscow.
Wang, L., & He, Y. (2011). Singular spectrum and singular entropy used in signal processing of NC table. In Seventh International Symposium on Precision Engineering Measurements and Instrumentation, Proceedings of SPIE (Vol. 8321 83211H-1).
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Radkowski, S., Jasiński, M., Gumiński, R., Gałęzia, A. (2018). Using of Entropy Method in Failure Diagnostics. In: Timofiejczuk, A., Chaari, F., Zimroz, R., Bartelmus, W., Haddar, M. (eds) Advances in Condition Monitoring of Machinery in Non-Stationary Operations. CMMNO 2016. Applied Condition Monitoring, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-319-61927-9_27
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DOI: https://doi.org/10.1007/978-3-319-61927-9_27
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