Nonholonomic Constraints in Time-Dependent Mechanics

Abstract

The constraint reaction force of ideal nonholonomic constraints in time-dependent mechanics on a configuration bundle $Q\to R$ is obtained. Using the vertical extension of Hamiltonian formalism to the vertical tangent bundle $VQ$ of $Q\to R$, the Hamiltonian of a nonholonomic constrained system is constructed.

19 pages, LaTeX

References in corpus (1)

• Non-standard connections in classical mechanics

Cited by in corpus (5)

• Quantum mechanics with time-dependent parameters
• On the Geodesic Form of Non-Relativistic Dynamic Equations
• Lagrangian Description of the Variational Equations
• Jacobi equations using a variational principle
• Jacobi fields of completely integrable Hamiltonian systems