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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 2, Pages 160–171 (Mi pmtf1894)  
This article is cited in 9 scientific papers (total in 9 papers)

Natural vibrations in a system of nanotubes

V. A. Eremeyevab, E. A. Ivanovac, N. F. Morozovd, S. E. Strochkovb

a Southern Scientific Center, Russian Academy of Sciences, Rostov-on-Don, 344006
b Southern Federal University, Rostov-on-Don, 344090
c St. Petersburg State Polytechnical University, St. Petersburg, 195251
d Saint Petersburg State University, St. Petersburg, 198904
Full-text PDF (471 kB) Citations (9)
Abstract: Natural vibrations in a system of parallel micro-and nanotubes attached horizontally to an elastic substrate are analyzed. It is shown that several first eigenfrequencies corresponding to flexural vibrations of a single nanotube can be identified with the use of the linear shell theory within the frequency spectrum of an “integrated system” consisting of a substrate and nanotubes. This allows the flexural rigidity of a single nanotube to be evaluated. The resultant conclusion is supported by finite-element modeling based on the three-dimensional theory of electroelasticity. Results of a modal analysis of gallium arsenide nanotubes are presented.
Keywords: nanomechanics, natural vibrations, nanotubes, flexural rigidity, shells, electroelasticity, finite element method.
Received: 26.03.2007
English version:
Journal of Applied Mechanics and Technical Physics, 2008, Volume 49, Issue 2, Pages 291–300
DOI: https://doi.org/10.1007/s10808-008-0040-4
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. A. Eremeyev, E. A. Ivanova, N. F. Morozov, S. E. Strochkov, “Natural vibrations in a system of nanotubes”, Prikl. Mekh. Tekh. Fiz., 49:2 (2008), 160–171; J. Appl. Mech. Tech. Phys., 49:2 (2008), 291–300
Citation in format AMSBIB
\Bibitem{EreIvaMor08}
\by V.~A.~Eremeyev, E.~A.~Ivanova, N.~F.~Morozov, S.~E.~Strochkov
\paper Natural vibrations in a system of nanotubes
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2008
\vol 49
\issue 2
\pages 160--171
\mathnet{http://mi.mathnet.ru/pmtf1894}
\elib{https://elibrary.ru/item.asp?id=11665474}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2008
\vol 49
\issue 2
\pages 291--300
\crossref{https://doi.org/10.1007/s10808-008-0040-4}
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  • https://www.mathnet.ru/eng/pmtf/v49/i2/p160
    • 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
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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