Coherence function of transverse random vibrations of a rotating shaft

A simple Jeffcott rotor with both external and internal damping is considered. The rotor is subject to a random excitation which results in transverse random vibrations even at rotation speeds below the instability threshold. The random forces in two perpendicular directions are assumed to be uncorr...

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Bibliographic Details
Published in:Journal of sound and vibration 2006-05, Vol.292 (3), p.983-986
Main Authors: Dimentberg, M.F., Iourtchenko, D.V., Naess, A.
Format: Article
Language:English
Subjects:
Coherence
Instability
Mathematical analysis
Mathematical models
Random vibration
Rotating shafts
Stability
Thresholds
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Summary:A simple Jeffcott rotor with both external and internal damping is considered. The rotor is subject to a random excitation which results in transverse random vibrations even at rotation speeds below the instability threshold. The random forces in two perpendicular directions are assumed to be uncorrelated white noises which may have different intensities in general. An analytical expression is derived for peak value of coherence function of responses in these directions as a function of ratio of rotation speed to its value at the instability threshold. Numerical simulation results are presented for verification of the corresponding coherence-based method for on-line stability margin evaluation for rotating shafts.
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2005.08.021