On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints
From MaRDI portal
Publication:1912927
DOI10.1016/0393-0440(95)00016-XzbMath0864.70007OpenAlexW2072339315MaRDI QIDQ1912927
Publication date: 21 August 1996
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0393-0440(95)00016-x
Nonholonomic systems related to the dynamics of a system of particles (70F25) Variational principles of physics (49S05)
Related Items
Nonholonomic mechanical systems with symmetry, Iper-ideal kinetic constraints in continuum mechanics, A practical application of the geometrical theory on fibered manifolds to an autonomous bicycle motion in mechanical system with nonholonomic constraints, The dynamics of systems with servoconstraints. II, Variational integrators in discrete vakonomic mechanics, Dynamics of nonholonomic systems from variational principles embedded variation identity, Pontryagin maximum principle and Stokes theorem, Swim-like motion of bodies immersed in an ideal fluid, A geometric field theory of dislocation mechanics, Linearization of nonlinear connections on vector and affine bundles, and some applications, Unnamed Item, Nonholonomic and constrained variational mechanics, Connections adapted to non-negatively graded structures, Influence of nonholonomic constraints on variations, symplectic structure, and dynamics of mechanical systems, Generalized variational calculus for continuous and discrete mechanical systems, Unnamed Item, The geometrical theory of constraints applied to the dynamics of vakonomic mechanical systems: The vakonomic bracket, A geometric approach to the transpositional relations in dynamics of nonholonomic mechanical systems, Mechanical systems with nonholonomic constraints, Unnamed Item, Hamilton–Jacobi equations for nonholonomic dynamics, The nonholonomic mechanics, Anholonomic frames in constrained dynamics, On continuum dynamics, Cartan forms for first order constrained variational problems, Time reversibility and energy conservation for Lagrangian systems with nonlinear nonholonomic constraints, Critical manifolds and stability in Hamiltonian systems with nonholonomic constraints, Symmetries in vakonomic dynamics: Applications to optimal control, A fiber bundle approach to the transpositional relations in nonholonomic mechanics, Vakonomic versus nonholonomic mechanics revisited, Nonholonomic constraints in time-dependent mechanics, Nonholonomic versus vakonomic dynamics, Affine connections and distributions with applications to nonholonomic mechanics, Various approaches to conservative and nonconservative nonholonomic systems, A comparison of vakonomic and nonholonomic dynamics with applications to non-invariant Chaplygin systems, d’Alembert–Lagrange analytical dynamics for nonholonomic systems, Nonholonomic versus vakonomic dynamics on a Riemann–Cartan manifold, Dirac structures in vakonomic mechanics, Complete inequivalence of nonholonomic and vakonomic mechanics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamics of systems with nonintegrable constraints. I
- Isoholonomic problems and some applications
- Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. I
- Nonholonomic problems and the theory of distributions
- Morse families and constrained mechanical systems. Generalized hyperelastic materials
- Reduction of some classical non-holonomic systems with symmetry
- Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
- Hamiltonian mechanics in the presence of constraints
- Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. II
- Dynamics of systems with nonintegrable constraints. II
- On the differential geometry of foliations
- Foliated manifolds with bundle-like metrics
- Reduction, symmetry, and phases in mechanics
- Orbits of Families of Vector Fields and Integrability of Distributions
- HAMILTON'S PRINCIPLE IN RELATION TO NON-HOLONOMIC MECHANICAL SYSTEMS
- WHAT IS HAMILTON'S PRINCIPLE?
- VARIATION PRINCIPLES IN DYNAMICS