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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2016, Volume 57, Issue 6, Pages 180–188
DOI: https://doi.org/10.15372/PMTF20160620 (Mi pmtf781) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Natural vibrations of orthotropic corrugated shells of revolution

K. A. Vatulyana, S. S. Makarova, Yu. A. Ustinovab

a Southern Federal University, Rostov-on-Don, 344006, Russia
b South Mathematical Institute, Vladikavkaz Scientific Center of Russian Academy, Sciences, Vladikavkaz, 362027, Russia
Full-text PDF (250 kB) Citations (1)
DOI: https://doi.org/10.15372/PMTF20160620
Abstract: The torsional and longitudinal flexural vibrations of orthotropic corrugated shells are investigated. Relations, including the equation of motion in forces and moments and the Hooke's law relations are obtained using the Kirchhoff–Love hypotheses. The influence of geometric parameters of the shell (amplitude and length of the corrugation) on the natural frequencies and natural vibrations modes are studied for fixed-end shells.It is found that during torsional vibrations, increasing the amplitude of the corrugation and increasing the number of corrugations leads to a decrease in the resonant frequencies. In the case of torsional and longitudinal flexural vibrations, the influence of the corrugation amplitude on the natural vibration modes is investigated.
Keywords: vibrations, corrugated shell, orthotropic materials, natural frequencies, natural modes.
Received: 13.07.2015
Revised: 02.11.2015
English version:
Journal of Applied Mechanics and Technical Physics, 2016, Volume 57, Issue 6, Pages 1118–1125
DOI: https://doi.org/10.1134/S0021894416060201
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: K. A. Vatulyan, S. S. Makarov, Yu. A. Ustinov, “Natural vibrations of orthotropic corrugated shells of revolution”, Prikl. Mekh. Tekh. Fiz., 57:6 (2016), 180–188; J. Appl. Mech. Tech. Phys., 57:6 (2016), 1118–1125
Citation in format AMSBIB
\Bibitem{VatMakUst16}
\by K.~A.~Vatulyan, S.~S.~Makarov, Yu.~A.~Ustinov
\paper Natural vibrations of orthotropic corrugated shells of revolution
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 6
\pages 180--188
\mathnet{http://mi.mathnet.ru/pmtf781}
\crossref{https://doi.org/10.15372/PMTF20160620}
\elib{https://elibrary.ru/item.asp?id=28103718}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 6
\pages 1118--1125
\crossref{https://doi.org/10.1134/S0021894416060201}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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