Please use this identifier to cite or link to this item: http://dx.doi.org/10.25673/119285
Title: Local coordinates on Lie groups for half-explicit time integration of Cosserat-rod models with constraints
Author(s): Tumiotto, Denise
Arnold, MartinLook up in the Integrated Authority File of the German National Library
Issue Date: 2025
Type: Article
Language: English
Abstract: Explicit Runge-Kutta methods are the gold standard of time-integration methods for nonstiff problems in system dynamics since they combine a small numerical effort per time step with high accuracy, error control, and straightforward implementation. For the analysis of beam dynamics, we couple them with a local coordinates approach in a Lie group setting to address large rotations. Stiff shear forces and inextensibility conditions are enforced by internal constraints in a coarse-grid discretization of a geometrically exact beam model. The resulting nonstiff constrained systems are handled by a half-explicit approach that relies on the constraints at velocity level and avoids all kinds of Newton-Raphson iteration. We construct half-explicit Runge-Kutta Lie group methods of order up to five that are equipped with an adaptive step-size strategy using embedded Runge-Kutta pairs for error estimation. The methods are tested successfully for a roll-up maneuver of a flexible beam and for the classical flying-spaghetti benchmark.
URI: https://opendata.uni-halle.de//handle/1981185920/121243
http://dx.doi.org/10.25673/119285
Open Access: Open access publication
License: (CC BY 4.0) Creative Commons Attribution 4.0(CC BY 4.0) Creative Commons Attribution 4.0
Journal Title: Multibody system dynamics
Publisher: Springer Science + Business Media B.V
Publisher Place: Dordrecht [u.a.]
Volume: 63
Issue: 4
Original Publication: 10.1007/s11044-024-10002-8
Page Start: 595
Page End: 613
Appears in Collections:Open Access Publikationen der MLU

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