Error analysis of generalized- $$\alpha $$ α Lie group time integration methods for constrained mechanical systems

Author:

Arnold Martin,Brüls Olivier,Cardona Alberto

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference40 articles.

1. Arnold, M.: A perturbation analysis for the dynamical simulation of mechanical multibody systems. Appl. Numer. Math. 18, 37–56 (1995). doi: 10.1016/0168-9274(95)00042-S

2. Arnold, M.: The generalized- $$\alpha $$ α method in industrial multibody system simulation. In: K. Arczewski, J. Fraczek, M. Wojtyra (eds.) Proceedings of Multibody Dynamics 2009 (ECCOMAS Thematic Conference), Warsaw (2009)

3. Arnold, M., Brüls, O.: Convergence of the generalized- $$\alpha $$ α scheme for constrained mechanical systems. Multibody Syst. Dyn. 18, 185–202 (2007). doi: 10.1007/s11044-007-9084-0

4. Arnold, M., Brüls, O., Cardona, A.: Convergence analysis of generalized- $$\alpha $$ α Lie group integrators for constrained systems. In: J. Samin, P. Fisette (eds.) Proceedings of Multibody Dynamics 2011 (ECCOMAS Thematic Conference), Brussels (2011)

5. Arnold, M., Burgermeister, B., Führer, C., Hippmann, G., Rill, G.: Numerical methods in vehicle system dynamics: state of the art and current developments. Veh. Syst. Dyn. 49, 1159–1207 (2011). doi: 10.1080/00423114.2011.582953

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