A generalization of the Chetaev condition for nonlinear nonholonomic constraints: the velocity-determined virtual displacement approach

DOI10.1016/S0034-4877(09)00012-3zbMath1169.70007OpenAlexW2072846977MaRDI QIDQ2270486

Shumin Li, Jamal Berakdar

Publication date: 28 July 2009

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(09)00012-3

zbMATH Keywords

relative velocitynonlinear nonholonomic constraintChetaev modelAppell-Hamel dynamical systemvelocity-determined virtual displacement

Mathematics Subject Classification ID

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

Related Items (4)

Unnamed Item ⋮ Nonlinear nonholonomic systems: a simple approach and various examples ⋮ Nonlinear constraints in nonholonomic mechanics ⋮ d’Alembert–Lagrange analytical dynamics for nonholonomic systems

Cites Work

• Geometric control and numerical aspects of nonholonomic systems
• Simple loading of a nonlinear viscoelastic half-plane
• On integral principles for nonholonomic systems
• Mechanical systems with nonlinear constraints
• A nonlinear nonholonomic formulation of the Appell-Hamel problem
• On the validity of the vakonomic model and the Chetaev model for constraint dynamical systems
• Variational principles for constrained systems: Theory and experiment
• Appell‐Hamel dynamical system: a nonlinear test of the Chetaev and the vakonomic model
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