STUDY ON NONLINEAR DYNAMIC BEHAVIOURS AND STABILITY OF A FLEXIBLE ROTOR SYSTEM WITH HYDRODYNAMIC SLIDING BEARING SUPPORTS
This paper investigates the nonlinear dynamic behaviours of a flexible rotor system with elliptical bearing supports. Based on the variational constraint approach, nonlinear oil film forces and their Jacobians are calculated simultaneously. According to the local nonlinearity of the flexible rotor system, a modal reduction technique based on a free-interface component mode synthesis technique is utilized to reduce linear degrees-of-freedom of the system. Nonlinear unbalance periodic responses of the system are obtained by using PNF (Poincaré-Newton-Floquet) method and the bifurcation point of system can be calculated by using the combination of the predictor–corrector mechanism and the PNF method. The local stability and bifurcation behaviours of periodic motions are analysed by the Floquet theory. The numerical examples show that the schemes of this study not only save computing efforts but also have good precision.
KeywordsPeriodic Solution Rotor System Floquet Theory Nonlinear Dynamic Behaviour Local Nonlinearity
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