Diagnostic Inferring on the Bases of Nonlinear Models

• Authors: Z. Dąbrowski
• Languages of publication: EN

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.

Keywords

EN

43.40.Ga; 45.80.+r; 46.40.Ff

Discipline

• 46.40.Ff: Resonance, damping, and dynamic stability
• 45.80.+r: Control of mechanical systems(see also 46.80.+j Measurement methods and techniques in continuum mechanics of solids)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2010
• Volume: 118
• Issue: 1
• Pages: 45-48

Dates

published

2010-07

Contributors

author

Z. Dąbrowski

• Faculty of Automotive and Construction Machinery Engineering, Warsaw University of Technology, Narbutta 84, 02-524 Warsaw, Poland

References

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• 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)
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• 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)

Identifiers

DOI

10.12693/APhysPolA.118.45