Director-based beam finite elements relying on the geometrically exact beam theory formulated in skew coordinates

SUMMARY In the present work, a new director‐based finite element formulation for geometrically exact beams is proposed. The new beam finite element exhibits drastically improved numerical performance when compared with the previously developed director‐based formulations. This improvement is accompl...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2014-01, Vol.97 (2), p.111-129
Main Authors:  Eugster, S.R., Hesch, C., Betsch, P., Glocker, Ch
Format: Article
Language:English
Subjects:
Beams (structural)
constrained theories
Finite element method
Frames
geometrically exact beam
Interpolation
Mathematical analysis
Mathematical models
nonlinear beam elements
Numerical analysis
structural mechanics
virtual work
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Summary:SUMMARY In the present work, a new director‐based finite element formulation for geometrically exact beams is proposed. The new beam finite element exhibits drastically improved numerical performance when compared with the previously developed director‐based formulations. This improvement is accomplished by adjusting the underlying variational beam formulation to the specific features of the director interpolation. In particular, the present approach does not rely on the assumption of an orthonormal director frame. The excellent performance of the new approach is illustrated with representative numerical examples. Copyright © 2013 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.4586