On the Use of Synchrosqueezing Transform for Chaos and Nonlinear Dynamics Analysis in Fractional-Order Systems
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2022-01-01
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In this paper, the behavior of an electromechanical device for power production is investigated. The device consists of a motor containing an unbalanced mass, which has been coupled with a system containing piezoelectric material that produces an electric current. Thus, the average power produced in the piezoelectric material subjected to the vibrations of the motor and the fractional dynamics of the system will be analyzed. For this analysis, the parameter of the fractional derivative operator and the parameter F for controlling the system are observed. Bifurcation diagrams and time–frequency analysis method based on synchrosqueezing transform are used, and the range of the fractional derivative operator parameter near 1, which modifies the dynamics of the system, is also determined.
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Mechanisms and Machine Science, v. 116, p. 175-189.