A Lie group variational integration approach to the full discretization of a constrained geometrically exact Cosserat beam model
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Publication:2065569
DOI10.1007/s11044-021-09807-8zbMath1483.70036OpenAlexW4200619039MaRDI QIDQ2065569
Stefan Hante, Denise Tumiotto, Martin Arnold
Publication date: 11 January 2022
Published in: Multibody System Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11044-021-09807-8
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Variational methods for problems in mechanics (70G75) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
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Cites Work
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- A note on the motion representation and configuration update in time stepping schemes for the constrained rigid body
- Numerical aspects in the dynamic simulation of geometrically exact rods
- Multi-body dynamics simulation of geometrically exact Cosserat rods
- The quaternion-based three-dimensional beam theory
- A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions
- Geometrically exact beam finite element formulated on the special Euclidean group \(SE(3)\)
- The discrete null space method for the energy-consistent integration of constrained mechanical systems. III: Flexible multibody dynamics
- RATTLE: A velocity version of the SHAKE algorithm for molecular dynamics calculations
- A finite strain beam formulation. The three-dimensional dynamic problem. I
- On the dynamics in space of rods undergoing large motions - A geometrically exact approach
- Runge-Kutta methods on Lie groups
- Galerkin Lie-group variational integrators based on unit quaternion interpolation
- Multisymplectic Galerkin Lie group variational integrators for geometrically exact beam dynamics based on unit dual quaternion interpolation -- no shear locking
- RATTLie: a variational Lie group integration scheme for constrained mechanical systems
- Velocity-based approach in non-linear dynamics of three-dimensional beams with enforced kinematic compatibility
- Discrete variational Lie group formulation of geometrically exact beam dynamics
- Singularity-free time integration of rotational quaternions using non-redundant ordinary differential equations
- Lie group variational integrators for the full body problem
- Discrete mechanics and variational integrators
- Approximation of finite rigid body motions from velocity fields
- Fast Simulation of Quasistatic Rod Deformations for VR Applications
- A new approach for force-displacement co-simulation using kinematic coupling constraints