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The analysis of rotational shells using a curved ring element and the mixed variational formulation
Author(s) -
Barony S. Y.,
Tottenham H.
Publication year - 1976
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620100413
Subject(s) - zonal and meridional , curvature , orthotropic material , geometry , finite element method , mathematics , plane (geometry) , mathematical analysis , element (criminal law) , physics , atmospheric sciences , political science , law , thermodynamics
A finite element for the analysis of rotational shells using a mixed variational formulation is proposed. The element has arbitrary curvature in the meridional plane, its geometry being given by the values of the axial and radial co‐ordinates, slope and meridional curvature at the nodal circles. A linear variation in the thickness was included in the formulation as was an orthotropic material. Test cases of flat plates and spherical shells indicate that a high degree of accuracy is obtainable with relatively small number of elements.