Parametric Vibrations of a System of Oscillators Connected with Periodically Variable Stiffness

Ładowanie...
Miniatura

Data

2021

Tytuł czasopisma

ISSN czasopisma

Tytuł tomu

Wydawca

Wydawnictwo Politechniki Łódzkiej
Politechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki.
Lodz University of Technology Press
Lodz University of Technology. Faculty of Mechanical Engineering. Department of Automation, Biomechanics and Mechatronics.

Abstrakt

The 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.

Opis

Słowa kluczowe

parametric oscillations, rectangular cross-section shaft, impact, bifurcation, drgania parametryczne, rostokątny przekrój wału, uderzenie, bifurkacja

Cytowanie

Kudra 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.