The invariant manifold approach applied to nonlinear dynamics of a rotor-bearing system

Cristiano Villa (1) , Jean-Jacques Sinou (1) , Fabrice Thouverez (1)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

The invariant manifold approach is used to explore the dynamics of a nonlinear rotor, by determining the nonlinear normal modes, constructing a reduced order model and evaluating its performance in the case of response to an initial condition. The procedure to determine the approximation of the invariant manifolds is discussed and a strategy to retain the speed dependent effects on the manifolds without solving the eigenvalue problem for each spin speed is presented. The performance of the reduced system is analysed in function of the spin speed.

Mots clés: Nonlinear rotordynamics; Invariant manifolds; Reduced system; Normal modes

Domaines: Vibrations [physics.class-ph]; Systèmes dynamiques [math.DS]; Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]; Vibrations [physics.class-ph]

Cristiano Villa, Jean-Jacques Sinou, Fabrice Thouverez. The invariant manifold approach applied to nonlinear dynamics of a rotor-bearing system. European Journal of Mechanics - A/Solids, 2005, 24 (4), pp.676-689. ⟨10.1016/j.euromechsol.2005.01.008⟩. ⟨hal-00207639⟩