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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2019, Volume 45, Issue 13, Pages 25–28
DOI: https://doi.org/10.21883/PJTF.2019.13.47953.17811
(Mi pjtf5390)
 

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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-1152.2018.1
Received: 29.03.2019
Revised: 11.04.2019
Accepted: 11.04.2019
English version:
Technical Physics Letters, 2019, Volume 45, Issue 7, Pages 660–663
DOI: https://doi.org/10.1134/S1063785019070095
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Par19}
\by R.~I.~Parovik
\paper Amplitude-frequency and phase-frequency characteristics of forced vibrations of nonlinear fractional oscillator
\jour Pisma v Zhurnal Tekhnicheskoi Fiziki
\yr 2019
\vol 45
\issue 13
\pages 25--28
\mathnet{http://mi.mathnet.ru/pjtf5390}
\crossref{https://doi.org/10.21883/PJTF.2019.13.47953.17811}
\elib{https://elibrary.ru/item.asp?id=41131074}
\transl
\jour Tech. Phys. Lett.
\yr 2019
\vol 45
\issue 7
\pages 660--663
\crossref{https://doi.org/10.1134/S1063785019070095}
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  • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Pisma v Zhurnal Tekhnicheskoi Fiziki Pisma v Zhurnal Tekhnicheskoi Fiziki
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