The dynamic response of an electro-magneto-mechanical coupled system excited by a harmonic voltage is addressed. The system mathematical model involves coupling quadratic nonlinearities due to the dependence of the inductance on the displacement of the metallic oscillator mass; as a result, a strongly nonlinear behavior characterizes the system’s dynamic response. The numerical analysis is carried out through Poincaré mappings and dynamic continuation. The initial periodic attractor is shown to evolve into higher order and quasi-periodic attractors as the forcing amplitude increases. The peculiar irregular dynamics involving a number of bifurcations characterized by dramatic qualitative changes of both the mechanical and electrical responses for high excitation amplitude is discussed.
Multiphysics Chaotic Interaction in a Coupled Electro-Magneto-Mechanical System
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Romeo, F, & Georgiou, IT. "Multiphysics Chaotic Interaction in a Coupled Electro-Magneto-Mechanical System." Proceedings of the ASME 2014 International Mechanical Engineering Congress and Exposition. Volume 4B: Dynamics, Vibration, and Control. Montreal, Quebec, Canada. November 14–20, 2014. V04BT04A018. ASME. https://doi.org/10.1115/IMECE2014-38714
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