Chaotic behaviour identification of a rub-impact rotor using short-term predictability of measured data

Abstract Based on short-term predictability of a chaotic time series, this paper presents a new method for chaotic behaviour identification of a rub-impact rotor from measured data. The method is composed of two steps: in the first step, the phase space was reconstructed from measured data. Local pr...

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Bibliographic Details
Published in:Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science Journal of mechanical engineering science, 2002-06, Vol.216 (6), p.675-681
Main Authors: Hu, N Q, Wen, X S
Format: Article
Language:English
Subjects:
Applied sciences
Drives
Exact sciences and technology
Industrial metrology. Testing
Mechanical engineering. Machine design
Shafts, couplings, clutches, brakes
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Summary:Abstract Based on short-term predictability of a chaotic time series, this paper presents a new method for chaotic behaviour identification of a rub-impact rotor from measured data. The method is composed of two steps: in the first step, the phase space was reconstructed from measured data. Local prediction of the time series was performed in the second step with local fitting. Short-term predictability can be used to identify the chaotic property of the time series characterizing dynamic behaviour of the rub-impact rotor. The result of a local prediction is consistent with that of the correlation dimension and largest Lyapunov exponent estimated from measured data. The study shows that short-term predictability via local prediction can effectively identify chaos of a rub-impact rotor. The proposed method is simple, straightforward and suitable for real-time application.
ISSN:0954-4062
2041-2983
DOI:10.1243/095440602320192319