Forced Nonlinear Normal Modes in the One Disk Rotor Dynamics

Abstract

A new approach combining both the nonlinear normal modes approach and the Rauscher method is proposed to construct forced vibrations in non-autonomous systems with an internal resonance. Forced vibrations of a one-disk unbalanced rotor with the nonlinear elastic bearings are considered. Gyroscopic effects, an asymmetrical disposition of the disk in the isotropic elastic shaft and internal resonance are taken into account.