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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2000, Volume 41, Issue 1, Pages 186–191 (Mi pmtf2886)  

This article is cited in 4 scientific papers (total in 4 papers)

Nonlinear vibration modes of an elastic panel under periodic loading

A. L. Tukmakov

Institute of Mechanics and Mechanical Engineering, Kazan' Science Center, Russian Academy of Sciences, Kazan' 420111
Full-text PDF (215 kB) Citations (4)
Abstract: The dynamic instability and nonlinear behavior of a nonshallow thin elastic cylindrical panel with simply supported rectilinear edges under uniformly distributed periodic load is studied. The regions of regular and chaotic dynamics are determined for symmetric and nonsymmetric bending modes of the panel. It is shown that depending on the external load frequency, the nonsymmetric buckling. which occurs when the load amplitude reaches a critical value, can lead to two different dynamic modes.
Received: 14.05.1998
Accepted: 23.11.1998
English version:
Journal of Applied Mechanics and Technical Physics, 2000, Volume 41, Issue 1, Pages 171–175
DOI: https://doi.org/10.1007/BF02465252
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. L. Tukmakov, “Nonlinear vibration modes of an elastic panel under periodic loading”, Prikl. Mekh. Tekh. Fiz., 41:1 (2000), 186–191; J. Appl. Mech. Tech. Phys., 41:1 (2000), 171–175
Citation in format AMSBIB
\Bibitem{Tuk00}
\by A.~L.~Tukmakov
\paper Nonlinear vibration modes of an elastic panel under periodic loading
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2000
\vol 41
\issue 1
\pages 186--191
\mathnet{http://mi.mathnet.ru/pmtf2886}
\elib{https://elibrary.ru/item.asp?id=17276712}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2000
\vol 41
\issue 1
\pages 171--175
\crossref{https://doi.org/10.1007/BF02465252}
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  • https://www.mathnet.ru/eng/pmtf/v41/i1/p186
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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