On the Bifurcation and Stability of Periodic Motion of the Rotor-Bearing System with Rub-Impact and Oil Whirl
Chang Li Liu, Xiuyuan Zhang, Li Cui, Jun Jiang, Jiamin Zheng
Abstract
Chang Li Liu, Xiuyuan Zhang, Li Cui, Jun Jiang, Jiamin Zheng
Abstract
In this paper, the dynamic model of rotor bearing system with rub-impact and oil whirl is formulated. Continuation-shooting method for the periodic solution of nonlinear non-autonomous system is used to obtain the bifurcation and stability of the periodic motion of the rotor-bearing system. The effect of the unbalance and rotor/stator clearance on the bifurcation and stability of the periodic motion of the rotor bearing system are analyzed respectively. The results obtained are compared with those of rotor-bearing system with oil whirl fault.
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In this paper, the dynamic model of rotor bearing system with rub-impact and oil whirl is formulated. Continuation-shooting method for the periodic solution of nonlinear non-autonomous system is used to obtain the bifurcation and stability of the periodic motion of the rotor-bearing system. The effect of the unbalance and rotor/stator clearance on the bifurcation and stability of the periodic motion of the rotor bearing system are analyzed respectively. The results obtained are compared with those of rotor-bearing system with oil whirl fault.
Key concepts: Bearing (navigation), Bifurcation, Rotor (electric), Helicopter rotor, Control theory (sociology), Nonlinear system, Stator, Shooting method