Nonlinear dynamics of a sinusoidally driven lever in repulsive magnetic fields

We study bifurcations and chaotic behavior of a periodically forced lever that is magnetically controlled. The system is extremely simple and low cost and can be assembled in a very short time. Both the theoretical simulations and the experimental measurements exhibit regions of periodic and chaotic...

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Bibliographic Details
Published in:Nonlinear dynamics 2018, Vol.91 (1), p.55-66
Main Authors: Nana, B., Yamgoué, S. B., Tchitnga, R., Woafo, P.
Format: Article
Language:English
Subjects:
Automotive Engineering
Bifurcations
Chaos theory
Classical Mechanics
Control
Dynamical Systems
Engineering
Mechanical Engineering
Nonlinear dynamics
Original Paper
Parameters
Vibration
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Summary:We study bifurcations and chaotic behavior of a periodically forced lever that is magnetically controlled. The system is extremely simple and low cost and can be assembled in a very short time. Both the theoretical simulations and the experimental measurements exhibit regions of periodic and chaotic behaviors, depending on the system parameters. Amplitude jumps, hysteresis and bistable states are also observed. The wide possibilities of varying the system parameters make the experiments suitable for demonstrations. Good agreements are found between our theoretical results and experimental ones.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-017-3839-9