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Документ Forced Nonlinear Normal Modes in the One Disk Rotor Dynamics(Institute of Mechanics and Mechatronics, Technical University of Vienna, 2014) Perepelkin, Nikolay V.; Mikhlin, Yuri V.; Pierre, ChristopheA 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.Документ Nonlinear normal modes of vibrating mechanical systems and their applications(Institute of Mechanics and Mechatronics, Technical University of Vienna, 2014) Mikhlin, Yuri V.; Avramov, Konstantin V.; Pierre, ChristopheThe principal concepts of nonlinear normal vibration modes (NNMs) and methods of their analysis are presented. NNMs for forced and parametric vibrations and generalization of the NNMs to continuous systems are considered. Nonlinear localization and transfer of energy are discussed in the light of NNMs. Different engineering applications of NNMs are analyzed.