33 citations · 41 across the 3 of their papers we have counts for
3 papers
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.DS2023★ 5 cited
Hamel's Equations and Geometric Mechanics of Constrained and Floating Multibody and Space Systems
Andreas Mueller
Modern geometric approaches to analytical mechanics rest on a bundle structure of the configuration space. The connection on this bundle allows for an intrinsic splitting of the re…