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A new approach to the finite element modelling of beams with warping effect
Author(s) -
Lee S. W.,
Kim Y. H.
Publication year - 1987
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.1620241207
Subject(s) - image warping , finite element method , isotropy , structural engineering , deflection (physics) , shear (geology) , beam (structure) , displacement (psychology) , rotation (mathematics) , geometry , mathematics , physics , engineering , computer science , classical mechanics , materials science , optics , psychology , artificial intelligence , composite material , psychotherapist
As a first step toward developing a finite element formulation that can model coupling among extensional, bending and torsional behaviour of beams, a new method is proposed to properly represent the warping of arbitrary cross‐sections. The basic approach is to introduce a small warping displacement superimposed over flat cross‐sections of a shear‐flexible beam in a deformed configuration. Numerical tests involving simple isotropic beams undergoing a small elastic displacement demonstrate the validity of the new approach. The present approach can be extended to composite beams as well as isotropic beams experiencing a large deflection or finite rotation.