Non-classical nonlinear normal vibration modes in mechanical systems
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Дата
2017
ORCID
DOI
Науковий ступінь
Рівень дисертації
Шифр та назва спеціальності
Рада захисту
Установа захисту
Науковий керівник
Члени комітету
Видавець
Sapienza University of Rome
Анотація
Nonlinear normal modes (NNMs) of forced chaotic vibrations can be found in models which are obtained by digitization of some elastic systems that have lost stability under external compressive force. A system of non-autonomous Duffing equations can be obtained; chaotic motions appear as the force amplitude is slowly increased. A stability of periodic or
chaotic vibration mode in a space with a greater dimension is studied. In non-ideal dissipative systems NNMs by Kauderer-Rosenberg cannot be realized due to exponential decrease of vibration amplitude. In such systems under the resonance conditions the transient nonlinear normal modes (TNNMs), which exist only for some levels of energy, can be found. These
TNNMs temporarily attract other motions of the system near values of time, corresponding to the mentioned energy levels.
Опис
Ключові слова
mechanical systems, systems with a limited power-supply, nonlinear normal modes, chaotic vibrations
Бібліографічний опис
Non-classical nonlinear normal vibration modes in mechanical systems / Yuri V. Mikhlin [at al.] // Proceedings of 9th European Nonlinear Dynamics Conference (ENOC 2017), 25-30 June, 2017 / ed.: G. Stépán, G. Csernák ; Budapest University of Technology and Economics. – Budapest : CongressLine Ltd., 2017. – P. 305-306.