On the velocity-based description in dynamic analysis of three-dimensional beams
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Publication:6610828
DOI10.1007/978-3-031-50631-4_28MaRDI QIDQ6610828
Dejan Zupan, Bojan Čas, Eva Zupan
Publication date: 26 September 2024
energy conservationstructural dynamicsimplicit time integrationkinematic compatibilityrotational quaternionsnon-linear beams
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Dynamical problems in solid mechanics (74Hxx)
Cites Work
- On the dynamics in space of rods undergoing large motions - A geometrically exact approach
- Energy preserving/decaying schemes for nonlinear beam dynamics using the helicoidal approximation
- Energy decaying scheme for nonlinear beam models
- Invariant dissipative mechanisms for the spatial motion of rods suggested by artificial viscosity
- Energy conserving/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations.
- Unconditional stability in large deformation dynamic analysis of elastic structures with arbitrary nonlinear strain measure and multi-body coupling
- Velocity-based approach in non-linear dynamics of three-dimensional beams with enforced kinematic compatibility
- Validation of flexible multibody dynamics beam formulations using benchmark problems
- An energy-momentum method for in-plane geometrically exact Euler-Bernoulli beam dynamics
- Non‐linear dynamics of three‐dimensional rods: Exact energy and momentum conserving algorithms
- A co-rotational weak-form quadrature planar beam element for geometric nonlinear static and dynamic analysis
- Interpolation schemes for geometrically exact beams: a motion approach
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