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Effective modelling of spatial buckling of beam assemblages, accounting for warping constraints and rotation‐dependency of moments
Author(s) -
Saleeb A. F.,
Chang T. Y. P.,
Gendy A. S.
Publication year - 1992
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.1620330303
Subject(s) - image warping , finite element method , buckling , torsion (gastropod) , kinematics , beam (structure) , mathematics , timoshenko beam theory , bending moment , structural engineering , geometry , computer science , engineering , classical mechanics , physics , surgery , medicine , artificial intelligence
A simple, two‐noded, finite element model for the three‐dimensional buckling analysis of beam assemblages is developed. The underlying generalized‐beam theory employed accounts for all coupled significant modes of deformations, including stretching, bending, shear and torsion, as well as warping . Its mixed formulation is of the two‐field type, utilizing linear and constant interpolants for displacements and strain fields. Due considerations are given to the effect off inite rotations in space on the non‐linear kinematic descriptions as well as the configuration‐dependent behaviour of externally applied moment vectors of the conservative and non‐conservative types. The performance of the model, and particularly the accuracy of its geometric and load‐correction stiffnesses, is assessed in a fairly complete set of numerical simulations.