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Large displacement analysis of thin‐walled beams with generic open section
Author(s) -
Conci Aura
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.1620331008
Subject(s) - torsion (gastropod) , buckling , stiffness matrix , finite element method , stiffness , structural engineering , section (typography) , displacement (psychology) , linear elasticity , space frame , mathematics , matrix (chemical analysis) , lagrangian , direct stiffness method , mathematical analysis , geometry , engineering , materials science , computer science , composite material , medicine , psychology , surgery , psychotherapist , operating system
A finite element formulation for geometric non‐linear analysis of elastic straight thin‐walled beams is presented. The updated Lagrangian procedure is used for a stiffness matrix derivation‐to analyse large displacements or buckling behaviour of space frames. The stiffness matrix is developed for a generic cross‐section and is equally efficient for symmetric, monosymmetric or asymmetric open sections. Some non‐linear strain terms usually neglected in the literature have been considered, resulting in a formulation which also includes the initial bimoment and torsion effect for all cross‐sections analysed. The proposed method has been implemented and the results of sample problems are presented.