English

Nonholonomic Constraints in Time-Dependent Mechanics

Mathematical Physics 2015-06-26 v1 Differential Geometry math.MP

Abstract

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

Keywords

Cite

@article{arxiv.math-ph/9807014,
  title  = {Nonholonomic Constraints in Time-Dependent Mechanics},
  author = {G. Giachetta and L. Mangiarotti and G. Sardanashvily},
  journal= {arXiv preprint arXiv:math-ph/9807014},
  year   = {2015}
}

Comments

19 pages, LaTeX