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Asymptotic behavior of a weakly forced dry friction oscillator

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Díaz Díaz, Jesús Ildefonso and Hetzer, Georg (2007) Asymptotic behavior of a weakly forced dry friction oscillator. Electronic Journal of Differential Equations, Conference, 16 . pp. 95-102. ISSN 1072-6691

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Official URL: http://ejde.math.txstate.edu/conf-proc/16/d1/diaz.pdf



Abstract

This note is devoted to stick-slip aspects of the motion of a dry friction damped oscillator under weak irregular forcing. Our main result complements[10, Theorem 3.(a)] and is also related to [1], where a non-Lipschitz model for Coulomb friction was consider in the unforced case. We provide sufficient conditions guaranteeing that solutions stabilizing in finite time, but observe also an infinite succession of “stick-slip” behavior. The last section discusses an extension to certain systems of such oscillators.


Item Type:Article
Uncontrolled Keywords:Nonlinear oscillators and systems; dry friction; dead zone; extinction in finite time; stick-slip motion.
Subjects:Sciences > Mathematics > Differential equations
ID Code:30232
Deposited On:21 May 2015 10:26
Last Modified:12 Dec 2018 15:07

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