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## Acta Physica Polonica A

2010 | 118 | 1 | 45-48
Article title

### Diagnostic Inferring on the Bases of Nonlinear Models

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Abstracts
EN
Physical phenomena accompanying destruction processes of technical systems are nonlinear and "low-energetic" by nature, while during wearing out mainly a nonlinear disturbance changes. Out of many inference techniques - on the observation basis of the state of the system - the best one is undoubtedly the well-defined mathematical model, allowing inferring backwards' and forward', which means finding the genesis and prognosis of the phenomenon. However, such model should be nonlinear. Problems related to the identification of nonlinear dynamic models in a frequency domain and a proposition of solving this problem for the needs of technical diagnostics, i.e. in situations when the observed wear out effects are significantly smaller than the dynamic effects - are discussed in the hereby paper. The bases of the proposed method constitute the discussion of possible solutions of a certain class of nonlinear differential equations and resulting from that statements on the possibility of nonlinear disturbance approximations by a series of the selected harmonic frequencies.
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45-48
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2010-07
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• Faculty of Automotive and Construction Machinery Engineering, Warsaw University of Technology, Narbutta 84, 02-524 Warsaw, Poland
References
• 1. Z. Dąbrowski, Machine Dynamic Problems, Vol. 4, (1992)
• 2. W. Batko, Z. Dąbrowski, J. Kiciński, Nonlinear effects in technical diagnostics, Publishing and Printing House of the Institute for Sustainable Technologies - NRI, Warsaw 2008, p. 303
• 3. I. Komorska, Study on the effect of assembly errors on the vibration of serial transfer power systems, Ph.D. Thesis, Warsaw University of Technology, Warsaw 1999 (in Polish)
• 4. J. Pankiewicz, Use of non-linear effects in diagnosing of viscoelastic elements, Ph.D. Thesis, Warsaw University of Technology, Warsaw 2002 (in Polish)
• 5. Diagnostic Engeneering, Eds. B. Żółtowski, C. Cempel, Publishing and Printing House of the Instytute for Sustainable Technologies - NRI, Radom 2004, p. 1308 (in Polish)
• 6. Z. Osiński, Dumping of vibration, Polish Scientific Publishers PWN, Warsaw 1997 (in Polish)
• 7. Z. Engel, Environmental protection from vibrations and noise, Polish Scientific Publishers PWN, Warsaw 2001 (in Polish)
• 8. J.A. Mitropolskij, G.P. Homa, Matemacziskoje obosnowanije asimptoticzeskich metodow nieliniejnoj mechaniki, Naukowaja Dumka, Kijev 1983 (in Russian)
• 9. Z. Dąbrowski, in: Modeling and identification of nonlinear system for technical diagnostics, The 8th International Congress on Sound and Vibration, Hong Kong (China) 2001 p. 1083
• 10. J. Dziurdź, W.W. Skórski, Diagnostyka 1, 63 (2009)
• 11. W. Batko, Problems of Machines Operation and Maintenance 3 ( 151), 147 (2007)
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