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This article is cited in 16 scientific papers (total in 16 papers)
Amplitude-frequency and phase-frequency characteristics of forced vibrations of nonlinear fractional oscillator
R. I. Parovik Institute of Cosmophysical Researches and Radio Wave Propagation, Far East Division, Russian Academy of Sciences, Paratunka, Russia
Abstract:
In the work, using the amplitude-frequency (AFC) and phase-frequency characteristics (PFC) of forced oscillations of a non-linear fractional oscillator, their connection with the orders of fractional derivatives, which are included in its model equation, is substantiated. It is shown, using computer simulation, that the orders of fractional derivatives are related to the quality factor of an oscillatory system. A decrease in the higher order (“fractional” inertia) leads to a decrease in the quality factor, and a decrease in the lower order (“fractional” friction) leads to an increase in the quality factor. Therefore, we come to two mechanisms for controlling the Q of the oscillatory system, where the orders of fractional derivatives play the role of control parameters.
Keywords:
fractional oscillator, Q-factor, amplitude-frequency performance, phase-frequency performance.
Received: 29.03.2019 Revised: 11.04.2019 Accepted: 11.04.2019
Citation:
R. I. Parovik, “Amplitude-frequency and phase-frequency characteristics of forced vibrations of nonlinear fractional oscillator”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 45:13 (2019), 25–28; Tech. Phys. Lett., 45:7 (2019), 660–663
Linking options:
https://www.mathnet.ru/eng/pjtf5390 https://www.mathnet.ru/eng/pjtf/v45/i13/p25
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Abstract page: | 61 | Full-text PDF : | 25 |
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