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Nonlinear normal vibration modes in the dynamics of nonlinear elastic systems
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стаття
Язык документа:
англійська
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25.02.2016
Сводная информация по документу:
Mikhlin, Y.V. Nonlinear normal vibration modes in the dynamics of nonlinear elastic systems [Текст] / Mikhlin Y.V., Perepelkin N.V., Klimenko A.A., Harutyunyan E. // Статті : - , 2012.
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Nonlinear normal modes (NNMs) are a generalization of the linear normal vibrations. By the Kauderer-Rosenberg concept in the regime of the NNM all position coordinates are single-values functions of some selected position coordinate. By the Shaw-Pierre concept, the NNM is such a regime when all generalized coordinates and velocities are univalent functions of a couple of dominant (active) phase variables. The NNMs approach is used in some applied problems. In particular, the Kauderer-Rosenberg NNMs are analyzed in the dynamics of some pendulum systems. The NNMs of forced vibrations are investigated in a rotor system with an isotropic-elastic shaft. A combination of the Shaw-Pierre NNMs and the Rauscher method is used to construct the forced NNMs and the frequency responses in the rotor dynamics.


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