Hamel's formalism for classical field theories
From MaRDI portal
Publication:2190686
DOI10.1007/s00332-020-09609-wzbMath1448.70043OpenAlexW3001015708WikidataQ126330985 ScholiaQ126330985MaRDI QIDQ2190686
Donghua Shi, Dmitry V. Zenkov, Anthony M. Bloch
Publication date: 21 June 2020
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-020-09609-w
Nonholonomic systems related to the dynamics of a system of particles (70F25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nonholonomic dynamical systems (37J60)
Related Items
A variational integrator for the Chaplygin-Timoshenko sleigh, Multisymplectic unscented Kalman filter for geometrically exact beams
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiple time scale dynamics
- Hamel's formalism for infinite-dimensional mechanical systems
- Lin constraints, Clebsch potentials and variational principles
- A fiber bundle approach to the transpositional relations in nonholonomic mechanics
- Reduced variational formulations in free boundary continuum mechanics
- Symmetry reduced dynamics of charged molecular strands
- Lagrange-Poincaré field equations
- A geometrically-exact rod model incorporating shear and torsion-warping deformation
- Geometric aspects of nonholonomic field theories
- On the geometrically exact beam model: a consistent, effective and simple derivation from three-dimensional finite-elasticity
- A new Lagrangian dynamic reduction in field theory
- Covariant and dynamical reduction for principal bundle field theories
- Semigroups of linear operators and applications to partial differential equations
- On the dynamics in space of rods undergoing large motions - A geometrically exact approach
- The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates
- Manifolds, tensor analysis, and applications.
- Nonholonomic constraints in classical field theories
- A historical review on nonholomic mechanics
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. E Crouch, J. E. Marsden and D. Zenkov. With scientific input from P. S. Krishnaprasad and R. M. Murray
- Dynamics of elastic strands with rolling contact
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Non-linear semi-groups
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Partial differential equations with differential constraints
- Asymptotic solutions of nonlinear second order differential equations with variable coefficients
- A class of nonholonomic kinematic constraints in elasticity
- Euler-Poincaré reduction for discrete field theories
- On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part I
- On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part II
- Formulation of Equations of Motion for Complex Spacecraft
- Multisymplectic geometry, covariant Hamiltonians, and water waves
- Numerical Solution of Partial Differential Equations
- Iper-ideal kinetic constraints in continuum mechanics
- Reduction in principal fiber bundles: Covariant Euler-Poincaré equations
- Quasivelocities and symmetries in non-holonomic systems
- Symmetry aspects of nonholonomic field theories
- Euler–Lagrange and Hamilton equations for non-holonomic systems in field theory
- THE MOMENTUM MAP FOR NONHOLONOMIC FIELD THEORIES WITH SYMMETRY
- Nonlinear problems of elasticity
