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A Curved Finite Element of Revolution Shells after Timoshenko's Shear Model
Author(s) -
Rikards R. B.,
Goldmanis M. V.
Publication year - 1985
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19850650911
Subject(s) - finite element method , shell (structure) , toroid , bending , rotational symmetry , structural engineering , mechanics , deformation (meteorology) , shear (geology) , materials science , mathematics , geometry , physics , engineering , composite material , plasma , quantum mechanics
This paper discusses solutions of the problems associated with bending and stability of shells of revolution by means of the finite‐element method and using the principle of minimum potential energy and the theory of Timoshenko‐type shells. A curved finite element of third order is proposed to calculate shells of revolution under axisymmetric loads. The convergence properties of the proposed element are examined in the bending and stability problems. As examples are given the problems of bending of a cylindrical shell, deformation of a toroidal shell, stability analysis of a toroidal shell under external pressure and stability analysis of a shall of meridianally variable shape under external pressure.