Variational integrators for dynamical systems with rotational degrees of freedom

Leitz T, Leyendecker S, Ober-Blöbaum S (2014)

Publication Language: English

Publication Type: Conference contribution, Conference Contribution

Publication year: 2014

Publisher: International Center for Numerical Methods in Engineering

Edited Volumes: 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014

Conference Proceedings Title: Proceedings of WCCM XI – ECCM V – ECFD VI

Event location: Barcelona ES

Abstract

For the elastodynamic simulation of a geometrically exact beam, a variational integrator is derived from a PDE viewpoint. Variational integrators are symplectic and conserve discrete momentum maps and since the presented integrator is derived in the Lie group setting (unit quaternions for the representation of rotational degrees of freedom), it intrinsically preserves the group structure without the need for constraints. The discrete Euler-Lagrange equations are derived in a general manner and then applied to the beam.

Authors with CRIS profile

Thomas Leitz Institute of Applied Dynamics Sigrid Leyendecker Institute of Applied Dynamics

Related research project(s)

Space time discretization for flexible multibody systems and multisymplectic variational integrators Oct. 1, 2011 - Sept. 30, 2018

Involved external institutions

Universität Paderborn DE Germany (DE)

How to cite

APA:

Leitz, T., Leyendecker, S., & Ober-Blöbaum, S. (2014). Variational integrators for dynamical systems with rotational degrees of freedom. In Proceedings of WCCM XI – ECCM V – ECFD VI. Barcelona, ES: International Center for Numerical Methods in Engineering.

MLA:

Leitz, Thomas, Sigrid Leyendecker, and Sina Ober-Blöbaum. "Variational integrators for dynamical systems with rotational degrees of freedom." Proceedings of the WCCM XI – ECCM V – ECFD VI, Barcelona International Center for Numerical Methods in Engineering, 2014.

BibTeX: Download