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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2017 Volume 20, Number 4, Pages 44–54 (Mi sjim978)

This article is cited 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

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.

UDC: 539.3

Received: 18.12.2016

DOI: 10.17377/sibjim.2017.20.406


 English version:
Journal of Applied and Industrial Mathematics, 2017, 11:4, 535–544

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© Steklov Math. Inst. of RAS, 2024