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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 4, Pages 44–54
DOI: https://doi.org/10.17377/sibjim.2017.20.406 (Mi sjim978) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The use of Lagrange multipliers in the triangular element of a nonplanar shell under variable interpolation of displacements

Yu. V. Klochkov, A. P. Nikolaev, O. V. Vakhnina, T. A. Kiseleva

Volgograd State Agrarian University, 26 University av., 400002 Volgograd
Full-text PDF (269 kB) Citations (6)
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DOI: https://doi.org/10.17377/sibjim.2017.20.406
Abstract: We expose an algorithm for calculating thin arbitrary shells on usig a triangular discretization element with correction Lagrange multipliers. The rigidity matrix of the triangular element is formed using the methods for approximating displacements as scalar and vector quantities.
Keywords: shell, triangular discretization element, Lagrange multipliers, scalar approximation, vector approximation.
Received: 18.12.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 4, Pages 535–544
DOI: https://doi.org/10.1134/S1990478917040111
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: Yu. V. Klochkov, A. P. Nikolaev, O. V. Vakhnina, T. A. Kiseleva, “The use of Lagrange multipliers in the triangular element of a nonplanar shell under variable interpolation of displacements”, Sib. Zh. Ind. Mat., 20:4 (2017), 44–54; J. Appl. Industr. Math., 11:4 (2017), 535–544
Citation in format AMSBIB
\Bibitem{KloNikVak17}
\by Yu.~V.~Klochkov, A.~P.~Nikolaev, O.~V.~Vakhnina, T.~A.~Kiseleva
\paper The use of Lagrange multipliers in the triangular element of a~nonplanar shell under variable interpolation of displacements
\jour Sib. Zh. Ind. Mat.
\yr 2017
\vol 20
\issue 4
\pages 44--54
\mathnet{http://mi.mathnet.ru/sjim978}
\crossref{https://doi.org/10.17377/sibjim.2017.20.406}
\elib{https://elibrary.ru/item.asp?id=32662944}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 4
\pages 535--544
\crossref{https://doi.org/10.1134/S1990478917040111}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85036465077}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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