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Frame‐indifferent beam finite elements based upon the geometrically exact beam theory
Author(s) -
Betsch P.,
Steinmann P.
Publication year - 2002
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.487
Subject(s) - finite element method , timoshenko beam theory , beam (structure) , discretization , mathematics , frame (networking) , interpolation (computer graphics) , mathematical analysis , classical mechanics , physics , motion (physics) , engineering , optics , mechanical engineering , thermodynamics
This paper describes a new beam finite element formulation based upon the geometrically exact beam theory. In contrast to many previously proposed beam finite element formulations the present discretization approach retains the frame‐indifference (or objectivity) of the underlying beam theory. The space interpolation of rotational degrees‐of‐freedom is circumvented by the introduction of a reparameterization of the weak form corresponding to the equations of motion of the geometrically exact beam theory. Copyright © 2002 John Wiley & Sons, Ltd.