Kudra, GrzegorzWitkowski, KrzysztofSeth, SoumyajitPolczyński, KrystianAwrejcewicz, Jan2021-12-022021-12-022021Kudra G., Witkowski K., Seth S., Polczyński K., Awrejcewicz J., Parametric Vibrations of a System of Oscillators Connected with Periodically Variable Stiffness. W: DSTA-2021 Conference Books – Abstracts (16th International Conference : Dynamical Systems Theory and Applications DSTA 2021 ABSTRACTS), Awrejcewicz J. (red.), Kaźmierczak M. (red.), Olejnik P. (red.), Mrozowski J. (red.), Wydawnictwo Politechniki Łódzkiej ; Politechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki, Łódź 2021, s. 285-286, ISBN 978-83-66741-20-1.978-83-66741-20-1http://hdl.handle.net/11652/4121The work is a part of a larger project concerning investigations of different configurations of connected oscillators with direct and parametric forcing sources. Among others, we present preliminary numerical studies of dynamics of a system composed of two oscillators connected with periodically variable stiffness. Each of the oscillators is connected to the fixed support with the use of a nonlinear magnetic spring. Based on the derived mathematical equations of the parametric system, a bifurcation plot was calculated for different shaft speeds. Bifurcation analysis shows both the ranges of periodic and chaotic motion. As an additional part, we will realize this kind of mechanical system from an electrical point of view, and we shall observe the phenomena experimentally.enAll rights reservedFair use conditionWszystkie prawa zastrzeżoneDla wszystkich w zakresie dozwolonego użytkuparametric oscillationsrectangular cross-section shaftimpactbifurcationdrgania parametrycznerostokątny przekrój wałuuderzeniebifurkacjaAbstractLUT LicenseLicencja PŁLodz University of Technology. Faculty of Mechanical Engineering. Department of Automation, Biomechanics and Mechatronics.Politechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki.