On the choice of configuration space for numerical Lie group integration of constrained rigid body systems

DOI10.1016/j.cam.2013.10.039zbMath1302.70017OpenAlexW2043741192WikidataQ115359825 ScholiaQ115359825MaRDI QIDQ2252343

Zdravko Terze, Andreas Müller

Publication date: 17 July 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.10.039

zbMATH Keywords

rigid body dynamicsmultibody systemsconstraint satisfactionscrew systemsLie group integrationmunthe-kaas scheme

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamics of multibody systems (70E55) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (6)

Singularity-free time integration of rotational quaternions using non-redundant ordinary differential equations ⋮ A note on the motion representation and configuration update in time stepping schemes for the constrained rigid body ⋮ A novel computer-oriented dynamical approach with efficient formulations for multibody systems including ignorable coordinates ⋮ Time integration of rigid bodies modelled with three rotation parameters ⋮ Dynamics of serial chain systems using dual algebra ⋮ Lie-group integration method for constrained multibody systems in state space

Cites Work

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• Methods for constraint violation suppression in the numerical simulation of constrained multibody systems - A comparative study
• Runge-Kutta methods adapted to manifolds and based on rigid frames
• Modeling and solution of some mechanical problems on Lie groups
• High order Runge-Kutta methods on manifolds
• Numerical integration of ordinary differential equations on manifolds
• Runge-Kutta methods on Lie groups
• The analysis of the generalized-\(\alpha\) method for nonlinear dynamic problems
• Lie group methods for rigid body dynamics and time integration on manifolds
• Explicit Newmark/Verlet algorithm for time integration of the rotational dynamics of rigid bodies
• Approximation of finite rigid body motions from velocity fields
• Computations in a free Lie algebra
• Simulation of ordinary differential equations on manifolds: some numerical experiments and verifications
• Geometric Numerical Integration
• Accurate and efficient simulation of rigid-body rotations.
• A note on the numerical solution of the heavy top equations
• Critical study of Newmark scheme on manifold of finite rotations

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