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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2017, Volume 51, Issue 1, Pages 42–45 (Mi uzeru329)  
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

On the condition of planar localized vibrations appearance in the vicinity of the free edge of a thin rectangular plate

M. V. Belubekyan

Institute of Mechanics, National Academy of Sciences of Armenia
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Abstract: On the basis of the equations of generalized plane stress state the problems of planar vibrations of a rectangular thin plate are investigated. It is established possibility of the appearance of vibrations with amplitude decreasing exponentially, when moving from free edge to the opposite fixed edge. The conditions of the appearance of such localized vibrations depending on the size of the plate and the methods of fixation of other three sides are obtained.
Keywords: plane stress state, Navier conditions, sliding contact, clumped edge.
Received: 15.09.2016
Accepted: 27.01.2017
Document Type: Article
MSC: 74J15
Language: English
Citation: M. V. Belubekyan, “On the condition of planar localized vibrations appearance in the vicinity of the free edge of a thin rectangular plate”, Proceedings of the YSU, Physical and Mathematical Sciences, 51:1 (2017), 42–45
Citation in format AMSBIB
\Bibitem{Bel17}
\by M.~V.~Belubekyan
\paper On the condition of planar localized vibrations appearance in the vicinity of the free edge of a thin rectangular plate
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2017
\vol 51
\issue 1
\pages 42--45
\mathnet{http://mi.mathnet.ru/uzeru329}
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