Materiały konferencyjne, referaty (WM)

Stały URI dla kolekcjihttp://hdl.handle.net/11652/163

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20212

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Autorsearch.filters.applied.operator.equals: search.filters.author.Awrejcewicz, JanTematsearch.filters.applied.operator.equals: search.filters.subject.dynamika nieliniowa

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Teraz wyświetlane 1 - 2 z 2
  • Pozycja
    Magnetic oscillator under excitation with controlled initial phase
    (Wydawnictwo Politechniki Łódzkiej, 2021) Polczyński, Krystian; Bednarek, Maksymilian; Awrejcewicz, Jan
    The work contains the results of numerical simulations of the dynamics of a magnetic pendulum system subjected to excitation with a varying initial phase. A magnetic pendulum consists of a magnet fixed to the end of its arm and an electric coil below it. The initial phase of the excitation is presented as a linear function of the dynamic variable of the system, which is the angular position of the pendulum. The obtained basins of attraction indicate the occurrence of multi-periodic solutions in the system depending on the changes in the parameters of this system. The periodicities of the observed solutions are quantified mostly by odd numbers.
  • Pozycja
    Research of the dynamics of a physical pendulum forced with an electromagnetic field
    (Wydawnictwo Politechniki Łódzkiej, 2021) Ogińska, Ewelina; Grzelczyk, Dariusz; Awrejcewicz, Jan
    In this paper, both experimental and numerical results of the dynamics of a pendulum with a neodymium magnet and an aerostatic bearing are presented. The experimental stand includes the pendulum with the neodymium magnet at the end of the rod, whereas four electric coils are placed underneath. The pivot of the pendulum is supported on the aerostatic bearing. As a result, dry friction resistance in the pivot joint can be negligible and it has only a viscous character. The electric current with a given frequency and duty cycle and of a square waveform flows through the coils. Interaction between the neodymium magnet and the electric coils leads to the forced angular motion of the pendulum with the neodymium magnet. Both mathematical and physical models with experimentally confirmed system parameters are derived. The results of the simulation and experiment showed rich dynamics of the system, including various types of regular motion (multi-periodicity) and chaos.