Reference : On the use of Lie group time integrators in multibody dynamics
Scientific journals : Article
Engineering, computing & technology : Computer science
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/61619
On the use of Lie group time integrators in multibody dynamics
English
Bruls, Olivier mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques >]
Cardona, Alberto mailto [Universidad Nacional del Litoral > CIMEC-INTEC > > >]
2010
Journal of Computational and Nonlinear Dynamics
ASME
5
3
031002
Yes
International
1555-1423
New-York
USA
[en] Lie group integrators ; Finite rotations ; Multibody dynamics
[en] This paper proposes a family of Lie group time integrators for the simulation of flexible multibody systems. The method provides an elegant solution to the rotation parameterization problem. As an extension of the classical generalized-alpha method for dynamic systems, it can deal with constrained equations of motion. Second-order accuracy is demonstrated in the unconstrained case. The performance is illustrated on several critical benchmarks of rigid body systems with high rotation speeds and second order accuracy is evidenced in all of them, even for constrained cases. The remarkable simplicity of the new algorithms opens some interesting perspectives for real-time applications, model-based control and optimization of multibody systems.
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/61619
10.1115/1.4001370

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