Naslov
DAE Index 1 Formulation for Multibody System Dynamics in Lie-Group Setting

Autori
Terze, Zdravko ; Mueller, Andreas ; Zlatar, Dario

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
In 2nd Joint International Conference on Multibody System Dynamics / Goetz, Heidi-Maria ; Ziegler, Pascal - Stuttgart : University of Stuttgart, Institute of Engineering and Computational Mechanics, 2012, 380-381

ISBN
978-3-927618-32-9

Skup
The 2nd Joint International Conference on Multibody System Dynamics

Mjesto i datum
Stuttgart, Njemačka, 29.05.2012. - 01.06.2012

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

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

Sažetak
A Lie-group integration method for constrained multibody systems is proposed in the paper and applied for numerical simulation of a satellite dynamics. 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’. The basis of the method is Munthe-Kaas algorithm for ODE on Liegroups, which is re-formulated and expanded to be applicable for the integration of constrained multibody dynamics in DAE index 1 form. The constraint violation stabilization algorithm at the generalized position and velocity level is introduced by using two different algorithms: a first one that operates directly on the ‘state-space’ manifold and, a second one, that uses Cartesian rotation vectors as local coordinates for the generalized positions. A numerical example of ‘dual-spin’ satellite that demonstrates the proposed integration procedure is described and discussed at the end of the paper.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Strojarstvo, Zrakoplovstvo, raketna i svemirska tehnika

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