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, Martin ![]() |
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: | ![]() |
License: | ![]() |
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 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
s11044-024-10002-8.pdf | 2.74 MB | Adobe PDF | ![]() View/Open |