A Lie Algebra Approach to Lie Group Time Integration of Constrained Systems

Author:

Arnold Martin,Cardona Alberto,Brüls Olivier

Publisher

Springer International Publishing

Reference55 articles.

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

2. Arnold, M., Brüls, O.,& Cardona, A. (2011a). Convergence analysis of generalized- $$\alpha $$ Lie group integrators for constrained systems. In J. C. Samin & P. Fisette (Eds.), Proceedings of Multibody Dynamics 2011 (ECCOMAS Thematic Conference), Brussels, Belgium.

3.  Arnold, M., Brüls, O.,& Cardona, A. (2011b). Improved stability and transient behaviour of generalized- $$\alpha $$ time integrators for constrained flexible systems. In Fifth International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2011), Liège, Belgium, 14–17 November 2011.

4. Arnold, M., Burgermeister, B., Führer, C., Hippmann, G., & Rill, G. (2011c). Numerical methods in vehicle system dynamics: State of the art and current developments. Vehicle System Dynamics, 49, 1159–1207. doi: 10.1080/00423114.2011.582953 .

5. Arnold, M., Cardona, A., & Brüls, O. (2014). Order reduction in time integration caused by velocity projection. In Proceedings of the 3rd Joint International Conference on Multibody System Dynamics and the 7th Asian Conference on Multibody Dynamics, 30 June–3 July 2014. BEXCO. Korea: Busan.

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