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Lie Group Integration Method for Constrained Multibody Systems (CROSBI ID 578592)

Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija

Terze, Zdravko ; Zlatar, Dario ; Mueller, Andreas Lie Group Integration Method for Constrained Multibody Systems // Proceedings of the Multibody Dynamics, ECCOMAS 2011 / Jean-Claude Samin and Paul Fisette (ur.). Brisel: Universite catholique de Louvain, 2011. str. 1-9

Podaci o odgovornosti

Terze, Zdravko ; Zlatar, Dario ; Mueller, Andreas

engleski

Lie Group Integration Method for Constrained Multibody Systems

A Lie-group integration method for constrained multibody systems is proposed in the paper. Mathematical model of multibody system dynamics is shaped as DAE system of equations of index 1, while dynamics is evolving on Lie-group introduced as system ‘state space formulation’. Integration algorithm operates directly with angular velocities and rotational matrices and no local (generalized) coordinates are introduced. The basis of the method is Munthe-Kaas algorithm for ODE on Lie-groups, which is re-formulated and expanded to be applicable for the integration of constrained multibody dynamics, where constraint violation stabilization is one of the important issues that must be successfully solved.

Lie-groups; Multibody Systems Dynamics; Numerical Integration Methods; DAE systems; Constraint Violation Stabilization; Manifolds; Munthe-Kaas method

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Podaci o prilogu

1-9.

2011.

objavljeno

Podaci o matičnoj publikaciji

Proceedings of the Multibody Dynamics, ECCOMAS 2011

Jean-Claude Samin and Paul Fisette

Brisel: Universite catholique de Louvain

978-2-8052-0116-5

Podaci o skupu

Multibody Dynamics 2011, An ECCOMAS Thematic Conference

pozvano predavanje

04.07.2011-07.07.2011

Bruxelles, Belgija

Povezanost rada

Strojarstvo, Zrakoplovstvo, raketna i svemirska tehnika, Matematika