On the choice of configuration space for numerical Lie group integration of constrained rigid body systems
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[1] S. Buss. Accurate and efficient simulation of rigid-body rotations , 2000 .
[2] Janusz,et al. Geometrical Methods in Robotics , 1996, Monographs in Computer Science.
[3] H. Munthe-Kaas. Runge-Kutta methods on Lie groups , 1998 .
[4] Olivier Bruls,et al. Lie group generalized-α time integration of constrained flexible multibody systems , 2012 .
[5] E. Celledoni,et al. Lie group methods for rigid body dynamics and time integration on manifolds , 2003 .
[6] H. Munthe-Kaas,et al. Computations in a free Lie algebra , 1999, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[7] Nathan M. Newmark,et al. A Method of Computation for Structural Dynamics , 1959 .
[8] Arne Marthinsen,et al. Simulation of ordinary differential equations on manifolds : some numerical experiments and verifications , 1997 .
[9] H. Munthe-Kaas. High order Runge-Kutta methods on manifolds , 1999 .
[10] L. Einkemmer. Structure preserving numerical methods for the Vlasov equation , 2016, 1604.02616.
[11] Jari Mäkinen,et al. Critical study of Newmark-scheme on manifold of finite rotations , 2001 .
[12] Oreste S. Bursi,et al. The analysis of the Generalized-α method for non-linear dynamic problems , 2002 .
[13] K. Engø,et al. A Note on the Numerical Solution of the Heavy Top Equations , 2001 .
[14] P. Crouch,et al. Numerical integration of ordinary differential equations on manifolds , 1993 .
[15] W. Blajer. Methods for constraint violation suppression in the numerical simulation of constrained multibody systems – A comparative study , 2011 .
[16] Olivier Bruls,et al. Two Lie Group Formulations for Dynamic Multibody Systems With Large Rotations , 2011 .
[17] A. Müller. Approximation of finite rigid body motions from velocity fields , 2010 .
[18] Herman Bruyninckx,et al. Symbolic differentiation of the velocity mapping for a serial kinematic chain , 1996 .
[19] Olivier Bruls,et al. On the Use of Lie Group Time Integrators in Multibody Dynamics , 2010 .
[20] Zdravko Terze,et al. DAE Index 1 Formulation for Multibody System Dynamics in Lie-Group Setting , 2012 .
[21] Richard M. Murray,et al. A Mathematical Introduction to Robotic Manipulation , 1994 .
[22] A. Marthinsen,et al. Modeling and Solution of Some Mechanical Problems on Lie Groups , 1998 .
[23] Arne Marthinsen,et al. Runge-Kutta Methods Adapted to Manifolds and Based on Rigid Frames , 1999 .
[24] Petr Krysl,et al. Explicit Newmark/Verlet algorithm for time integration of the rotational dynamics of rigid bodies , 2005 .
[25] A. Iserles,et al. Lie-group methods , 2000, Acta Numerica.