Momentum and near-energy conserving/decaying time integrator for beams with higher-order interpolation on \(SE(3)\)

Cites Work

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Geometrically exact beam finite element formulated on the special Euclidean group \(SE(3)\)
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A finite strain beam formulation. The three-dimensional dynamic problem. I
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Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
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Integrating finite rotations
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A Lie group variational integration approach to the full discretization of a constrained geometrically exact Cosserat beam model
Analysis of static frictionless beam-to-beam contact using mortar method
Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems
An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum conserving scheme in dynamics
Non‐linear dynamics of three‐dimensional rods: Exact energy and momentum conserving algorithms
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