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
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.
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.
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