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BIFURCATION AND CHAOS IN A RUB-IMPACT JEFFCOTT ROTOR SYSTEM

โœ Scribed by F. Chu; Z. Zhang

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
468 KB
Volume
210
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

Non-linear vibration characteristics of a rub-impact Jeffcott rotor are investigated. The system is two-dimensional, non-linear and periodic. Fourier series analysis and the Floquet theory are used to perform qualitative global analysis on bifurcation and stability. The governing ordinary differential equations are also integrated using a numerical method to give the quantitative result. This preliminary study reveals the chaotic feature of the system. After the rub-impact, as the rotating speed is increased, three kinds of routes to chaos are found, that is, from a stable periodic motion through period doubling bifurcation, grazing bifurcation and a sudden transition from periodic motion to chaos. Quasi-periodic motions are also found.

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