73 citations · 303 across the 15 of their papers we have counts for
Showing math.NAShow all
3 papers · 1 filter
math.NA2024★ 3 cited
Is there an optimal choice of configuration space for Lie group integration schemes applied to constrained MBS?
Andreas Mueller, Zdravko Terze
Recently various numerical integration schemes have been proposed for numerically simulating the dynamics of constrained multibody systems (MBS) operating. These integration scheme…
math.NA2024★ 33 cited
The significance of the configuration space Lie group for the constraint satisfaction in numerical time integration of multibody systems
Andreas Mueller, Zdravko Terze
The dynamics simulation of multibody systems (MBS) using spatial velocities (non-holonomic velocities) requires time integration of the dynamics equations together with the kinemat…
math.NA2023★ 73 cited
Screw and Lie Group Theory in Multibody Dynamics -- Recursive Algorithms and Equations of Motion of Tree-Topology Systems
Andreas Mueller
Screw and Lie group theory allows for user-friendly modeling of multibody systems (MBS) while at the same they give rise to computationally efficient recursive algorithms. The inhe…