Non-classical nonlinear normal vibration modes in mechanical systems

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dc.contributor.authorMikhlin, Yuri V.en
dc.contributor.authorPlaksiy, Katerynaen
dc.contributor.authorShmatko, Tatyanaen
dc.contributor.authorRudneva, Gayaneen
dc.date.accessioned2022-04-17T22:12:16Z
dc.date.available2022-04-17T22:12:16Z
dc.date.issued2017
dc.description.abstractNonlinear 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.en
dc.identifier.citationNon-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.en
dc.identifier.urihttps://repository.kpi.kharkov.ua/handle/KhPI-Press/56478
dc.language.isoen
dc.publisherSapienza University of Romeen
dc.subjectmechanical systemsen
dc.subjectsystems with a limited power-supplyen
dc.subjectnonlinear normal modesen
dc.subjectchaotic vibrationsen
dc.titleNon-classical nonlinear normal vibration modes in mechanical systemsen
dc.typeThesisen

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