Artykuły (WM)

Stały URI dla kolekcjihttp://hdl.handle.net/11652/206

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2008 - 200912010 - 20143

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Autorsearch.filters.applied.operator.equals: search.filters.author.Perlikowski, PrzemysławMa przypisane plikisearch.filters.applied.operator.equals: Tak

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  • Pozycja
    Bifurcations of Oscillatory and Rotational Solutions of Double Pendulum with Parametric Vertical Excitation
    (Hindawi Publishing Corporation, 2014-06) Marszal, Michał; Jankowski, Krzysztof; Perlikowski, Przemysław; Kapitaniak, Tomasz; Division of Dynamics. Faculty of Mechanical Engineering. Lodz University of Technology.; Katedra Dynamiki Maszyn. Wydział Mechaniczny. Politechnika Łódzka.
    This paper investigates dynamics of double pendulum subjected to vertical parametric kinematic excitation. It includes detailed bifurcation diagrams in two-parameter space (excitation’s frequency and amplitude) for both oscillations and rotations in the domain of periodic solutions.
  • Pozycja
    Synchronization of mechanical oscillators excited kinematically.
    (Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej, 2008) Perlikowski, Przemysław
    In this paper, the behaviour of a system of coupled mechanical oscillators excited kinematically was studied numerically. Several methods of detection of synchronization were shown and advantages of each were mentioned. The relation between Lyapunov exponents and the synchronization state under different kinds of the excitation signal (harmonic, periodic and chaotic ones) was presented. It was demonstrated that the mode locking with excitation was dependent only on inner damping and completely uncorrelated with the connection between oscillators.
  • Pozycja
    Synchronization of two forced double-well duffing oscillators with attached pendulums.
    (Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej, 2013) Brzeski, Piotr; Karmazyn, Anna; Perlikowski, Przemysław
    We investigate the dynamics of two coupled Duffing oscillators with attached pendulums forced kinematically by a common signal. Our attention is focused on different kinds of synchronization which can appear in the considered system. Different types of coupling (spring, damper and spring and damper simultaneously) are taken into account. We show in a two-parameters space (amplitude and frequency of excitation) existence of complete and phase synchronization and asynchronous ranges.
  • Pozycja
    Energy balance of two synchronized self-excited pendulums with different masses.
    (Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej, 2012) Kapitaniak, Tomasz; Czołczyński, Krzysztof; Perlikowski, Przemysław; Stefański, Andrzej
    We consider the synchronization of two self-excited pendulums with different masses. We show that such pendulums hanging on the same beam can show almost-complete (in-phase) and almost-antiphase synchronizations in which the difference of the pendulums displacements is small. Our approximate analytical analysis allows one to derive the synchronization conditions and explains the observed types of synchronizations as well as gives an approximate formula for amplitudes of both the pendulums and the phase shift between them. We consider the energy balance in the system and show how the energy is transferred between the pendulums via the oscillating beam allowing synchronization of the pendulums.