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Zhurnal Tekhnicheskoi Fiziki, 2019, Volume 89, Issue 9, Pages 1314–1318
DOI: https://doi.org/10.21883/JTF.2019.09.48055.284-18
(Mi jtf5507)
 

This article is cited in 9 scientific papers (total in 9 papers)

Theoretical and Mathematical Physics

A new method of describing for vibration damping of a beam built-in at one end

S.Sh. Rekhviashvili, A. V. Pskhu

Institute of Applied Mathematics and Automation, Nalchik
Full-text PDF (159 kB) Citations (9)
Abstract: We propose a new method of describing for vibration damping of a beam built-in at one end. The method takes into account dynamic hysteresis, which determines the dissipation of mechanical energy due to viscoelasticity. As a mathematical tool, we use fractional integro-differentiation. Experimental studies of rapidly damped vibrations of a foam polypropylene beam have been carried out. It is shown that the theoretical model successfully describes the experimental results.
Keywords: elastic beam, free damped oscillations, viscous damping, fractional integro-differentiation, fractional oscillator.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-45005
This study was supported by the Russian Foundation for Basic Research (project no 18-51-45005).
Received: 17.07.2018
Revised: 17.02.2019
Accepted: 19.03.2019
English version:
Technical Physics, 2019, Volume 64, Issue 9, Pages 1237–1241
DOI: https://doi.org/10.1134/S1063784219090135
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S.Sh. Rekhviashvili, A. V. Pskhu, “A new method of describing for vibration damping of a beam built-in at one end”, Zhurnal Tekhnicheskoi Fiziki, 89:9 (2019), 1314–1318; Tech. Phys., 64:9 (2019), 1237–1241
Citation in format AMSBIB
\Bibitem{RekPsk19}
\by S.Sh.~Rekhviashvili, A.~V.~Pskhu
\paper A new method of describing for vibration damping of a beam built-in at one end
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2019
\vol 89
\issue 9
\pages 1314--1318
\mathnet{http://mi.mathnet.ru/jtf5507}
\crossref{https://doi.org/10.21883/JTF.2019.09.48055.284-18}
\elib{https://elibrary.ru/item.asp?id=41130891}
\transl
\jour Tech. Phys.
\yr 2019
\vol 64
\issue 9
\pages 1237--1241
\crossref{https://doi.org/10.1134/S1063784219090135}
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  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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