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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2022, Volume 63, Issue 1, Pages 175–185
DOI: https://doi.org/10.15372/PMTF20220121 (Mi pmtf22) 		 
Vibration analysis of a viscoelastic graphene sheet exposed to an in-plane magnetic field using the nonlocal strain gradient theory

M. Pang, Y. Fang, Y. Q. Zhang

College of Civil Engineering and Architecture, Zhejiang University, 310058, Hangzhou, China
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DOI: https://doi.org/10.15372/PMTF20220121
Abstract: Based on the nonlocal strain gradient theory, the transverse vibration of a viscoelastic graphene sheet subjected to an in-plane magnetic field and external forces is studied. A general governing equation for the graphene sheet vibration is formulated. Theoretical solutions for undamped and damped vibrational frequencies are obtained. The influence of the in-plane magnetic field on the damping ratio and on the frequencies of the free and forced vibrations is studied within the framework of the nonlocal strain gradient theory.
Keywords: viscoelastic graphene sheet, free and forced vibrations, nonlocal strain gradient theory, in-plane magnetic field.
Received: 05.08.2020
Revised: 24.11.2020
Accepted: 30.11.2020
English version:
Journal of Applied Mechanics and Technical Physics, 2022, Volume 63, Issue 1, Pages 151–160
DOI: https://doi.org/10.1134/S0021894422010217
Bibliographic databases:
Document Type: Article
UDC: 539.2; 539.3
Language: Russian
Citation: M. Pang, Y. Fang, Y. Q. Zhang, “Vibration analysis of a viscoelastic graphene sheet exposed to an in-plane magnetic field using the nonlocal strain gradient theory”, Prikl. Mekh. Tekh. Fiz., 63:1 (2022), 175–185; J. Appl. Mech. Tech. Phys., 63:1 (2022), 151–160
Citation in format AMSBIB
\Bibitem{PanFanZha22}
\by M.~Pang, Y.~Fang, Y.~Q.~Zhang
\paper Vibration analysis of a viscoelastic graphene sheet exposed to an in-plane magnetic field using the nonlocal strain gradient theory
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2022
\vol 63
\issue 1
\pages 175--185
\mathnet{http://mi.mathnet.ru/pmtf22}
\crossref{https://doi.org/10.15372/PMTF20220121}
\elib{https://elibrary.ru/item.asp?id=48064250}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2022
\vol 63
\issue 1
\pages 151--160
\crossref{https://doi.org/10.1134/S0021894422010217}
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