Mechanical systems subjected to generalized nonholonomic constraints
Differential Geometry
2009-10-31 v1 Dynamical Systems
Symplectic Geometry
Abstract
We study mechanical systems subject to constraint functions that can be dependent at some points and independent at the rest. Such systems are modelled by means of generalized codistributions. We discuss how the constraint force can transmit an impulse to the motion at the points of dependence and derive an explicit formula to obtain the ``post-impact'' momentum in terms of the ``pre-impact'' momentum.
Cite
@article{arxiv.math/0008147,
title = {Mechanical systems subjected to generalized nonholonomic constraints},
author = {J. Cortes and M. de Leon and D. Martin de Diego and S. Martinez},
journal= {arXiv preprint arXiv:math/0008147},
year = {2009}
}
Comments
24 pages, no figures