Mechanical systems subject to generalized nonholonomic constraints

Jorge Cortés, Manuel de León, David Martín de Diego and Sonia Martínez
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 457 (2007) (2001), 651-670

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.

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Bib-tex entry:

@article{JC-MdL-DMD-SM:01,
author = { J. Cort\'es and M. de Le\'on and D. Mart{\'\i}n de Diego and S. Mart{\'\i}nez},
title = {Mechanical systems subject to generalized nonholonomic constraints},
journal= {Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences},
volume = 457,
number= 2007,
year = 2001,
pages = {651--670}
}