Nonholonomic Constraints in Time-Dependent Mechanics

Details Nonholonomic Constraints in Time-Dependent Mechanics Nonholonomic Constraints in Time-Dependent Mechanics

1998-07-13

arxiv.org/abs/math-ph/9807014v1

Physics

Mathematical Physics

19 pages, LaTeX

Scientific paper

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.

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