Hamel’s Formalism and Variational Integrators

DOI10.1007/978-1-4939-2441-7_20zbMath1367.70061OpenAlexW940555028MaRDI QIDQ3463528

Dmitry V. Zenkov, Kenneth R. Ball

Publication date: 19 January 2016

Published in: Geometry, Mechanics, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-2441-7_20

Mathematics Subject Classification ID

Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Numerical problems in dynamical systems (65P99)

Related Items (11)

Exact discrete Lagrangian mechanics for nonholonomic mechanics ⋮ The inverse problem of the calculus of variations for discrete systems ⋮ A variational integrator for the Chaplygin-Timoshenko sleigh ⋮ Multisymplectic unscented Kalman filter for geometrically exact beams ⋮ Minimum-time optimal control of robotic manipulators based on Hamel's integrators ⋮ Hamel's formalism for infinite-dimensional mechanical systems ⋮ On the Hamel coefficients and the Boltzmann-Hamel equations for the rigid body ⋮ On Hamel’s equations ⋮ Energy-preserving integrators applied to nonholonomic systems ⋮ A nonholonomic Newmark method ⋮ Discrete Hamiltonian variational mechanics and Hamel's integrators

Cites Work

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• Discrete Euler-Poincaré and Lie-Poisson equations
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• Discrete nonholonomic LL systems on Lie groups

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