Discrete variational Lie group formulation of geometrically exact beam dynamics
Demoures F, Gay-Balmaz F, Leyendecker S, Ober-Blöbaum S, Ratiu TS, Weinard Y (2015)
Publication Language: English
Publication Type: Journal article
Publication year: 2015
Journal
Publisher: Springer Verlag (Germany)
Book Volume: 130
Pages Range: 73-123
Journal Issue: 1
DOI: 10.1007/s00211-014-0659-4
Abstract
The goal of this paper is to derive a structure preserving integrator for geometrically exact beam dynamics, by using a Lie group variational integrator. Both spatial and temporal discretization are implemented in a geometry preserving manner. The resulting scheme preserves both the discrete momentum maps and symplectic structures, and exhibits almost-perfect energy conservation. Comparisons with existing numerical schemes are provided and the convergence behavior is analyzed numerically. © 2014 Springer-Verlag Berlin Heidelberg.
Authors with CRIS profile
Involved external institutions
École Polytechnique Fédérale de Lausanne (EPFL)
Switzerland (CH)
National Center for Scientific Research / Centre national de la recherche scientifique (CNRS)
France (FR)
Universität Paderborn
Germany (DE)
Switzerland (CH)
National Center for Scientific Research / Centre national de la recherche scientifique (CNRS)
France (FR)
Universität Paderborn
Germany (DE)
How to cite
APA:
Demoures, F., Gay-Balmaz, F., Leyendecker, S., Ober-Blöbaum, S., Ratiu, T.S., & Weinard, Y. (2015). Discrete variational Lie group formulation of geometrically exact beam dynamics. Numerische Mathematik, 130(1), 73-123. https://doi.org/10.1007/s00211-014-0659-4
MLA:
Demoures, Francois, et al. "Discrete variational Lie group formulation of geometrically exact beam dynamics." Numerische Mathematik 130.1 (2015): 73-123.
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