On the validity of the vakonomic model and the Chetaev model for constraint dynamical systems

DOI10.1016/S0034-4877(07)80102-9zbMath1130.70006MaRDI QIDQ2472771

Shumin Li, Jamal Berakdar

Publication date: 25 February 2008

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

principle of virtual worknonholonomic constraints

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (4)

The dynamics of systems with servoconstraints. II ⋮ A generalization of the Chetaev condition for nonlinear nonholonomic constraints: the velocity-determined virtual displacement approach ⋮ d’Alembert–Lagrange analytical dynamics for nonholonomic systems ⋮ Complete inequivalence of nonholonomic and vakonomic mechanics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
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• Geometric control and numerical aspects of nonholonomic systems
• Analytical dynamics of discrete systems
• On convergence of Padé approximants
• General solution of the dissipation inequality
• Various approaches to conservative and nonconservative nonholonomic systems
• A nonlinear nonholonomic formulation of the Appell-Hamel problem
• The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems
• Nonholonomic mechanical systems with symmetry
• HAMILTON'S PRINCIPLE IN RELATION TO NON-HOLONOMIC MECHANICAL SYSTEMS
• Nonlinear normal modes in a system with nonholonomic constraints

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