Terze, Zdravko and Mueller, Andreas and Zlatar, Dario (2012) DAE Index 1 Formulation for Multibody System Dynamics in Lie-Group Setting. = DAE Index 1 Formulation for Multibody System Dynamics in Lie-Group Setting. In: The 2nd Joint International Conference on Multibody System Dynamics, 29.05-01.06. 2012., Stuttgart, Njemačka.
Full text not available from this repository.Abstract
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.
| Item Type: | Conference or Workshop Item (Lecture) |
|---|---|
| Keywords (Croatian): | Lie-groups, Multibody Systems Dynamics, Numerical Integration Methods, DAE systems, Constraint Violation Stabilization, Manifolds, Munthe-Kaas method |
| Subjects: | TECHNICAL SCIENCE > Aviation, rocket and space technology |
| Divisions: | 1300 Department of Aeronautical Engineering > 1320 Chair of Aircraft Dynamics |
| Date Deposited: | 22 Sep 2016 13:48 |
| Last Modified: | 22 Sep 2016 13:48 |
| URI: | http://repozitorij.fsb.hr/id/eprint/6980 |
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