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Stability of the
Two-span Rotor-bearing System Periodic
with Coupling Faults of Crack and Rub-impact
LUO Yuegang1, 2 WEN Bangchun2
(1. Research Institute of Mechanism Electron and Control Engineering,
Dalian Nationalities University, Dalian 116600;
2. College of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004)
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Abstract: A dynamic model is set up for the
two-span rotor-bearing system with coupling faults of crack and
rub-impact. Using the continuation-shooting algorithm for periodic
solution of nonlinear non-autonomous system, the stability of the system
periodic motion is studied by the Floquet theory. The unstable form of the rotor system with crack fault is period-doubling bifurcation, and that with rub-impact fault is Hopf bifurcation. The unstable form of the rotor system with coupling faults is Hopf bifurcation when the depth of crack is smaller. The influence to the response of the system increased along with the depth of crack, the unstable form of the rotor system with coupling faults is period-doubling bifurcation. The conclusions provide theoretic basis reference for the failure diagnosis of the rotor-bearing system.
Key words: Rotor-bearing system Crack Rub-impact Coupling faults Stability Bifurcation
CLC No:
O322
国家自然科学基金资助项目(50535010, 50775025).
Received
20070406,
received
in
revised
form
20070914
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