Article (Scientific journals)
On the use of Lie group time integrators in multibody dynamics
Bruls, Olivier; Cardona, Alberto
2010In Journal of Computational and Nonlinear Dynamics, 5 (3), p. 031002
Peer reviewed
 

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Keywords :
Lie group integrators; Finite rotations; Multibody dynamics
Abstract :
[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.
Disciplines :
Mechanical engineering
Computer science
Author, co-author :
Bruls, Olivier  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques
Cardona, Alberto;  Universidad Nacional del Litoral > CIMEC-INTEC
Language :
English
Title :
On the use of Lie group time integrators in multibody dynamics
Publication date :
2010
Journal title :
Journal of Computational and Nonlinear Dynamics
ISSN :
1555-1415
eISSN :
1555-1423
Publisher :
ASME, New-York, United States
Volume :
5
Issue :
3
Pages :
031002
Peer reviewed :
Peer reviewed
Available on ORBi :
since 10 June 2010

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