Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (168 kB) Citations (5)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/semr654
  • https://www.mathnet.ru/eng/semr/v13/p26
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:354
    Full-text PDF :145
    References:76
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024