Open AccessFinite-element analysis of thin-walled shells under various parameterization options of their surfaces
Author(s) -
Yu. V. Klochkov,
А. П. Николаев,
T A Sobolevskaya,
A. Andreev
Publication year - 2019
Publication title -
iop conference series materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/675/1/012053
Subject(s) - interpolation (computer graphics) , curvilinear coordinates , mathematics , finite element method , displacement (psychology) , discretization , coordinate system , mathematical analysis , scalar (mathematics) , cylinder , trilinear interpolation , geometry , linear interpolation , physics , engineering , structural engineering , classical mechanics , polynomial , psychotherapist , motion (physics) , psychology
The methods of specifying the middle surface of an elliptical cylinder in curvilinear coordinate systems are described. An algorithm for discretization of an elliptic cylinder by high-precision quadrangular finite elements with a set of nodal variable parameters, which includes components of the displacement vector, as well as their partial derivatives of the first and second orders, is described. Nodal unknowns in global and local coordinate systems are described. Two types of interpolation procedure are presented: vector interpolation of displacement fields, scalar interpolation. Interpolation expressions for the components of the displacement vector and their first and second derivatives are obtained using the vector version of the interpolation procedure.
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