Nonlinear Normal Modes in the pendulum system under magnetic excitation

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dc.contributor.authorMikhlin, Yuri V.
dc.contributor.authorSurhanova, Yuliia E.
dc.date.accessioned2025-02-07T07:59:30Z
dc.date.issued2022
dc.description.abstractDynamics of two coupled pendulums under magnetic excitation is considered. Inertial components of the pendulums are essentially different, and a ratio of masses is chosen as a small parameter. Padé approximants is used to for the magnetic forces approximation. The small parameter method and the method of multiple scales are used to construct nonlinear normal modes (NNMs), one of them is localized one. Influence of the initial values and the system parameters, including the pendulum masses, change to the NNMs is studied.
dc.identifier.citationMikhlin Yu. V. Nonlinear Normal Modes in the pendulum system under magnetic excitation / Yuri V. Mikhlin, Yuliia E. Surhanova // Proceedings of 10th European Nonlinear Dynamics Conference (ENOC-2022), July 17-22, 2022 / ed.: Claude Henri Lamarque, Régis Dufour, Fabrice Thouverez [et al.] ; University of Lyon, France. – Lyon : University of Lyon at the Lyon Convention Centre, 2022. – P. 1027-1028.
dc.identifier.urihttps://repository.kpi.kharkov.ua/handle/KhPI-Press/85902
dc.language.isoen
dc.publisherUniversity of Lyon
dc.subjectmagnetic excitation
dc.subjectpendulum system
dc.subjectnonlinear normal modes
dc.subjectelectromagnetic motor
dc.subjectmathematical models
dc.subjectnumerical simulation
dc.titleNonlinear Normal Modes in the pendulum system under magnetic excitation
dc.typeArticle

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