Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 52, No. 2, pp. 227-239 (1995)

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Motion of a Particle Submitted to Dry Friction and to Normal Percussions

M. Laghdir and Manuel D.P. Monteiro Marques

Faculté des Sciences de Rabat - MAROC Faculdade de Ciências e C.M.A.F., Universidade de Lisboa,
Av. Prof. Gama Pinto, 2, 1699 Lisboa Codex - PORTUGAL

Abstract: We consider the one-dimensional dynamics of a particle moving on a mobile plane with contact being kept and dry friction. The particle is submitted to normal loading described not only by usual forces but also by a countable set of percussions. We prove the existence of a solution to this problem by using some convex analysis methods and measure theory.

Keywords: Friction; percussion; dynamics; contact; measure and convex.

Classification (MSC2000): 70D (70D05), 34A (34A37, 34A60)

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