On weak solutions to the Lagrange-d'Alembert equation

Dmitry Treschev; Oleg Zubelevich

Applicationes Mathematicae (2013)

  • Volume: 40, Issue: 3, page 383-392
  • ISSN: 1233-7234

Abstract

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We consider nonholonomic systems with collisions and propose a concept of weak solutions to Lagrange-d'Alembert equations. Using this concept we describe the dynamics of collisions. Collisions of a rotating ball and a rough floor are considered.

How to cite

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Dmitry Treschev, and Oleg Zubelevich. "On weak solutions to the Lagrange-d'Alembert equation." Applicationes Mathematicae 40.3 (2013): 383-392. <http://eudml.org/doc/280065>.

@article{DmitryTreschev2013,
abstract = {We consider nonholonomic systems with collisions and propose a concept of weak solutions to Lagrange-d'Alembert equations. Using this concept we describe the dynamics of collisions. Collisions of a rotating ball and a rough floor are considered.},
author = {Dmitry Treschev, Oleg Zubelevich},
journal = {Applicationes Mathematicae},
keywords = {nonholonomic mechanics; rigid bodies; collisions; impacts; Lagrange-d'Alembert equation},
language = {eng},
number = {3},
pages = {383-392},
title = {On weak solutions to the Lagrange-d'Alembert equation},
url = {http://eudml.org/doc/280065},
volume = {40},
year = {2013},
}

TY - JOUR
AU - Dmitry Treschev
AU - Oleg Zubelevich
TI - On weak solutions to the Lagrange-d'Alembert equation
JO - Applicationes Mathematicae
PY - 2013
VL - 40
IS - 3
SP - 383
EP - 392
AB - We consider nonholonomic systems with collisions and propose a concept of weak solutions to Lagrange-d'Alembert equations. Using this concept we describe the dynamics of collisions. Collisions of a rotating ball and a rough floor are considered.
LA - eng
KW - nonholonomic mechanics; rigid bodies; collisions; impacts; Lagrange-d'Alembert equation
UR - http://eudml.org/doc/280065
ER -

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