Artykuły (WM)

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

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2012 - 20162

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Autorsearch.filters.applied.operator.equals: search.filters.author.Stefański, AndrzejTematsearch.filters.applied.operator.equals: search.filters.subject.coupled oscillators

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  • Pozycja
    Synchronization in arrays of coupled self-induced friction oscillators
    (Springer, 2016-11) Marszal, Michał; Saha, Ashesh; Jankowski, Krzysztof; Stefański, Andrzej; Katedra Dynamiki Maszyn. Wydział Mechaniczny. Politechnika Łódzka.; Division of Dynamics. Faculty of Mechanical Engineering. Lodz University of Technology.
    We investigate synchronization phenomena in systems of self-induced dry friction oscillators with kinematic excitation coupled by linear springs. Friction force is modelled according to exponential model. Initially, a single degree of freedom mass-spring system on a moving belt is considered to check the type of motion of the system (periodic, non-periodic). Then the system is coupled in chain of identical oscillators starting from two, up to four oscillators. A reference probe of two coupled oscillators is applied in order to detect synchronization thresholds for both periodic and non-periodic motion of the system. The master stability function is applied to predict the synchronization thresholds for longer chains of oscillators basing on two oscillator probe. It is shown that synchronization is possible both for three and four coupled oscillators under certain circumstances. Our results confirmed that this technique can be also applied for the systems with discontinuities.
  • 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.