Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 361296, 19 pages
Research Article

Theoretical Study of a Chain Sliding on a Fixed Support

1Centre de Recherche et d'Innovation sur le Sport, U.F.R.S.T.A.P.S., Université de Lyon, Université Claude Bernard-Lyon 1, 27-29, boulevard du 11 Novembre 1918, 69622 Villeurbanne Cedex, France
2Département Génie Civil et Bâtiment FRE CNRS 3237, École Nationale des Travaux Publics de l'Etat, Université de Lyon, Rue Maurice Audin, 69518 Vaulx-en-Velin Cedex, France

Received 3 July 2009; Accepted 7 December 2009

Academic Editor: Jerzy Warminski

Copyright © 2009 Jérôme Bastien and Claude-Henri Lamarque. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A chain sliding on a fixed support, made out of some elementary rheological models (dry friction element and linear spring) can be covered by the existence and uniqueness theory for maximal monotone operators. Several behavior from quasistatic to dynamical are investigated. Moreover, classical results of numerical analysis allow to use a numerical implicit Euler scheme.