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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 26–37
DOI: https://doi.org/10.17377/semi.2016.12.003 (Mi semr654) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Differentical equations, dynamical systems and optimal control

Junction problem for Euler–Bernoulli and Timoshenko elastic beams

N. V. Neustroevaab, N. P. Lazarevb

a Lavrentyev Institute of Hydrodynamics of the Russian Academy of Sciences, 15 Lavrentyev pr., 630090, Novosibirsk, Russia
b North-Eastern Federal University, Kulakovskogo, 48, 677000, Yakutsk, Russia
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DOI: https://doi.org/10.17377/semi.2016.12.003
Abstract: In this paper, we consider а junction problem for the system Euler–Bernoulli and Timoshenko elastic beams and а contact problem for the two connecting beams. Unique solvability of these problems is proved. Under the assumption that solutions are smooth we find the corresponding differential formulations of the initial variational problems. In particular junction conditions on the border of bonding interface obtained. The analytical solution for a beams with a cut is given.
Keywords: junction conditions, variational problems, Timoshenko beam, Euler–Bernoulli beam, crack.
Funding agency Grant number
Russian Science Foundation 15-11-10000
Received October 5, 2015, published February 5, 2016
Document Type: Article
UDC: 539.3
MSC: 74J65
Language: Russian
Citation: N. V. Neustroeva, N. P. Lazarev, “Junction problem for Euler–Bernoulli and Timoshenko elastic beams”, Sib. Èlektron. Mat. Izv., 13 (2016), 26–37
Citation in format AMSBIB
\Bibitem{NeuLaz16}
\by N.~V.~Neustroeva, N.~P.~Lazarev
\paper Junction problem for Euler--Bernoulli and Timoshenko elastic beams
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 26--37
\mathnet{http://mi.mathnet.ru/semr654}
\crossref{https://doi.org/10.17377/semi.2016.12.003}
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