Chaos in a new bistable rotating electromechanical system

R. Tsapla Fotsa and P. Woafo

Chaos, Solitons & Fractals, 2016, vol. 93, issue C, 48-57

Abstract: A device consisting of an induction motor activating a rotating rigid arm is designed and comprises a bistable potential due to the presence of three permanent magnets. Its mathematical equations are established and the numerical results both in the absence and in the presence of magnets are compared. The generation of chaotic behavior is achieved using two different external excitations: sinewave and square wave. In the presence of magnets, the system presents periodic and dissipative chaotic dynamics. Approximating the global potential energy to a bistable quartic potential, the Melnikov method is used to derive the conditions for the appearance of Hamiltonian chaos. Such a device can be used for industrial and domestic applications for mixing and sieving activities.

Keywords: Electromechanical systems; Rotating arm; Bistability; Dissipative chaos; Melnikov chaos (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:93:y:2016:i:c:p:48-57

DOI: 10.1016/j.chaos.2016.09.025

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