Problems associated with the use of Cayley transform and tangent scaling for conserving energy and momenta in the Reissner–Simo beam theory

Medientyp: E-Artikel
Titel: Problems associated with the use of Cayley transform and tangent scaling for conserving energy and momenta in the Reissner–Simo beam theory
Beteiligte: Jelenić, Gordan; Crisfield, Michael A.
Erschienen: Wiley, 2002
Erschienen in: Communications in Numerical Methods in Engineering
Sprache: Englisch
DOI: 10.1002/cnm.531
ISSN: 1069-8299; 1099-0887
Schlagwörter: Applied Mathematics ; Computational Theory and Mathematics ; General Engineering ; Modeling and Simulation ; Software
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Beschreibung: <jats:title>Abstract</jats:title><jats:p>Conservation of the total energy and the total momenta in time‐stepping schemes for non‐linear 3D beams of the Reissner–Simo type is achieved via a particular treatment of large 3D rotations, which involves a rotational update using Cayley transformation, an interpolation of incremental tangent‐scaled rotations and a non‐linear update formula for angular velocities. In this note we investigate the side‐effects of this procedure. Copyright © 2002 John Wiley & Sons, Ltd.</jats:p>

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