A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions
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Publication:658906
DOI10.1016/j.cma.2010.04.017zbMath1231.74261OpenAlexW2087573398MaRDI QIDQ658906
Elena Celledoni, Niklas Säfström
Publication date: 8 February 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2010.04.017
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Hamilton's equations (70H05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)
Related Items (5)
Multisymplectic Galerkin Lie group variational integrators for geometrically exact beam dynamics based on unit dual quaternion interpolation -- no shear locking ⋮ An introduction to Lie group integrators - basics, new developments and applications ⋮ Multisymplectic Lie group variational integrator for a geometrically exact beam in \(\mathbb{R}^3\) ⋮ A Lie group variational integration approach to the full discretization of a constrained geometrically exact Cosserat beam model ⋮ The numerical influence of additional parameters of inertia representations for quaternion-based rigid body dynamics
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