Asymptotic behavior of a weakly forced dry friction oscillator
Copyright policy )Asymptotic behavior of a weakly forced dry friction oscillator
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.
1202.07 Ecuaciones en Diferencias, Nonlinear oscillations and coupled oscillators for ordinary differential equations, Asymptotic properties of solutions to ordinary differential equations, 517.9, stick-slip motion, extinction in finite time, QA1-939, stick-slip motion., Nonlinear oscillators and systems, Ecuaciones diferenciales, dead zone, Mathematics, Ordinary differential inclusions, dry friction
1202.07 Ecuaciones en Diferencias, Nonlinear oscillations and coupled oscillators for ordinary differential equations, Asymptotic properties of solutions to ordinary differential equations, 517.9, stick-slip motion, extinction in finite time, QA1-939, stick-slip motion., Nonlinear oscillators and systems, Ecuaciones diferenciales, dead zone, Mathematics, Ordinary differential inclusions, dry friction
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!