A generalization of Chetaev’s principle for a class of higher order nonholonomic constraints

DOI10.1063/1.1763245zbMath1071.70009arXivmath-ph/0404053OpenAlexW3103085307MaRDI QIDQ4833455

Hernan Cendra, Manuel de León, David Martín de Diego, Alberto Ibort

Publication date: 15 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0404053

zbMATH Keywords

principle of virtual workkinematic constraintvariational constraint

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Motion of a rigid body in contact with a solid surface (70E18)

Related Items (22)

CLOSED-LOOP AND CONSTRAINED MECHANICAL SYSTEMS ⋮ A Lagrangian variational formulation for nonequilibrium thermodynamics. I: Discrete systems. ⋮ A historical review on nonholomic mechanics ⋮ Lagrangian systems with higher order constraints ⋮ Dirac structures in nonequilibrium thermodynamics for simple open systems ⋮ On generalized nonholonomic systems ⋮ Lagrangian reduction of generalized nonholonomic systems ⋮ Higher-order discrete variational problems with constraints ⋮ Variational reduction of Hamiltonian systems with general constraints ⋮ Higher order constrained Hamiltonian systems ⋮ An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems ⋮ Nonlinear constraints in nonholonomic mechanics ⋮ Elementary thermo-mechanical systems and higher order constraints ⋮ Nonlinear Control of a Robot Manipulator with a Nonholonomic Jerk Constraint ⋮ A free energy Lagrangian variational formulation of the Navier–Stokes–Fourier system ⋮ A nonholonomic approach to isoparallel problems and some applications ⋮ Dirac structures in nonequilibrium thermodynamics ⋮ d’Alembert–Lagrange analytical dynamics for nonholonomic systems ⋮ Nonholonomic versus vakonomic dynamics on a Riemann–Cartan manifold ⋮ Generalized nonholonomic mechanics, servomechanisms and related brackets ⋮ Dirac Structures and Variational Formulation of Thermodynamics for Open Systems ⋮ The Geometry of Some Thermodynamic Systems

Cites Work

• Reduction of some classical non-holonomic systems with symmetry
• Various approaches to conservative and nonconservative nonholonomic systems
• Nonholonomic mechanical systems with symmetry
• Higher-order differential equations and higher-order lagrangian mechanics
• Reduction of constrained systems with symmetries
• Integrability of implicit differential equations
• On the geometry of non-holonomic Lagrangian systems
• Higher-order mechanical systems with constraints

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