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  HomeContents of Chinese Journal of Mechanical Engineering (English Edition),2004 Supp.NON-CONVENTIONAL BIFURCATION IN RESPONSE OF CRACKED JEFFCOTT ROTOR

Qin Weiyang

 

Ren Xingmin

Department of Mechanics Engineering,

Northwestern Polytechnical University, Xi’an 710072, China

 

Wang Ping

China Aviation Power-plant
Research Institute,
Zhuzhou 412002, China

 

 

NON-CONVENTIONAL BIFURCATION
IN RESPONSE OF CRACKED

JEFFCOTT ROTOR*

 

Abstract: The cracked rotor is a piecewise linear system due to the breath of crack in shaft with rotation. For the nonsmooth system, the motion equation is derived and solved with numerical integration method. From the result, it can be seen that there exists the grazing bifurcation in the response. The grazing bifurcation can give rise to jump between periodic motion, quasi-period from period, chaos and intermittent chaos.

Key words: Grazing bifurcation  Jeffcott rotor  Crack

 


* This project is supported by National Natural Science Foundation of China (No.10372079). Selected from Proceedings of the Eleven World Congress in Mechanism and Machine Science (IFToMM 2004). Received August 24; received in revised form October 15, 2004; accepted December 20, 2004

 

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