Reference : Numerical solution of DAEs in flexible multibody dynamics using Lie group time integrators
Scientific congresses and symposiums : Paper published in a book
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/77497
Numerical solution of DAEs in flexible multibody dynamics using Lie group time integrators
English
Bruls, Olivier mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques >]
Cardona, Alberto [Universidad Nacional del Litoral > CIMEC-INTEC > > >]
Arnold, Martin [Martin Luther University Halle-Wittenberg > NWF III - Institute of Mathematics > > >]
May-2010
Proceedings of the First Joint International Conference on Multibody System Dynamics
No
No
International
978-952-214-778-3
First Joint International Conference on Multibody System Dynamics
Du 25 au 27 mai 2010
Lappeenranta
Finland
[en] flexible multibody dynamics ; time integration ; generalized-alpha method ; Lie group
[en] This paper studies 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 and, as an extension of the classical generalized-alpha method for dynamic systems, it can deal with constrained equations of motion. Here, second-order accuracy of the Lie group method is demonstrated for constrained problems. The convergence analysis explicitly accounts for the nonlinear geometric structure of the Lie group. The performance is illustrated on two critical benchmarks of rigid and flexible systems with large rotation amplitudes. Second-order accuracy is evidenced in both of them. 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
http://hdl.handle.net/2268/77497

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