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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2011-3pp.283-288

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M. Pascal, "New events in stick-slip oscillators behaviour," J. Appl. Math. Mech. 75 (3), 283-288 (2011)
Year 2011 Volume 75 Issue 3 Pages 283-288
Title New events in stick-slip oscillators behaviour
Author(s) M. Pascal (Evry, France, madeleine.pascal@ibisc.univ-evry.fr)
Abstract A two-degree-of-freedom oscillator excited by dry friction is considered. The system consists of two masses connected by a linear spring, one of which is connected to a fixed wall by another spring. The second mass is in contact with a driving belt moving at a constant velocity. Coulomb's friction force acts between the mass and the belt. Periodic orbits including stick phases and slip phases, during which the mass in contact with the belt moves faster than the belt, are found analytically. The stability of these "overshooting" orbits is also investigated.
Received 03 July 2010
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