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Reports of Adyghe (Circassian) International Academy of Sciences, 2020, Volume 20, Issue 3, Pages 19–23
DOI: https://doi.org/10.47928/1726-9946-2020-20-3-19-23 (Mi aman14) 		 
MATH MODELING

Modeling vibrations of a beam with one fixed and another free end using fractional integrodifferentiation

S.Sh. Rekhviashvilia, A. V. Pskhua, A. M. Kidakoevb

a Institute of Applied Mathematics and Automation, Nalchik
b North Caucasian State Academy
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DOI: https://doi.org/10.47928/1726-9946-2020-20-3-19-23
Abstract: A mathematical model of vibrations of a beam with one fixed and another free end has been developed, taking into account the effect of dynamic hysteresis, which is described using fractional integro-differentiation. The solution of the model equation is found in analytical form. The use of the fractional integro-differentiation makes it possible to correctly describe the dissipative nature of the beam vibrations.
Keywords: mathematical modeling, fractional integro-differentiation, initial boundary value problem, elastic beam.
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Document Type: Article
UDC: УДК: 534.113
Language: Russian
Citation: S.Sh. Rekhviashvili, A. V. Pskhu, A. M. Kidakoev, “Modeling vibrations of a beam with one fixed and another free end using fractional integrodifferentiation”, Reports of AIAS, 20:3 (2020), 19–23
Citation in format AMSBIB
\Bibitem{RekPskKid20}
\by S.Sh.~Rekhviashvili, A.~V.~Pskhu, A.~M.~Kidakoev
\paper Modeling vibrations of a beam with one fixed and another free end using fractional integrodifferentiation
\jour Reports of AIAS
\yr 2020
\vol 20
\issue 3
\pages 19--23
\mathnet{http://mi.mathnet.ru/aman14}
\crossref{https://doi.org/10.47928/1726-9946-2020-20-3-19-23}
\elib{https://elibrary.ru/item.asp?id=https://www.elibrary.ru/item.asp?id=44598890}
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