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On the displacement formulation of torsion of shafts with rectangular cross‐sections
Author(s) -
Bathe KlausJürgen,
Chaudhary Anil
Publication year - 1982
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.1620181010
Subject(s) - image warping , torsion (gastropod) , hermitian matrix , displacement (psychology) , stiffness , structural engineering , geometry , mathematics , representation (politics) , mathematical analysis , engineering , computer science , pure mathematics , surgery , medicine , psychology , artificial intelligence , politics , law , political science , psychotherapist
The use of warping displacement functions for the torsional stiffness representation of beams with rectangular cross‐sections is studied. These functions can directly be employed in the displacement‐based formulation of Hermitian and isoparametric three‐dimensional beam elements for linear, elastic‐plastic or large displacement/large rotation analysis. the results of some studies are given to demonstrate the applicability and use of the proposed functions.