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The Stability Analysis of Periodic Motion on the Rotor-Bearing System with Rub-Impact Fault

Jiansheng Li

Abstract

Considering the nonlinear oil-film force and influence of nonlinear friction force, a dynamic model was set up for the rotor-bearing system with rub-impact fault. Using the continuation-shooting algorithm for periodic solution of nonlinear non-autonomous system, the stability of the system periodic motion was studied by the Floquet theory. The saddle-node bifurcation, period-doubling bifurcation and the Hopf bifurcation were found. The conclusions provide a theoretic basis reference for the failure diagnosis of the rotor-bearing system with rub-impact fault.

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Available abstract

Key concepts: Floquet theory, Bifurcation, Bearing (navigation), Helicopter rotor, Nonlinear system, Control theory (sociology), Fault (geology), Rotor (electric)