A new test for stick–slip limit cycles in dry-friction oscillators with a small nonlinearity in the friction characteristic

A new test for stick–slip limit cycles in dry-friction oscillators with a small nonlinearity in... We consider a dry friction oscillator on a moving belt with both the Coulomb friction and a small nonlinear addition which can model e.g. the Stribeck effect. By using the perturbation theory, we establish a new condition for the nonlinearity to ensure the occurrence of a stick–slip limit cycle. The test obtained is more accurate compared to what one gets by building upon the divergence test. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Meccanica Springer Journals

A new test for stick–slip limit cycles in dry-friction oscillators with a small nonlinearity in the friction characteristic

Meccanica , Volume 52 (12) – Mar 16, 2017

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Publisher
Springer Netherlands
Copyright
Copyright © 2017 by Springer Science+Business Media Dordrecht
Subject
Physics; Classical Mechanics; Civil Engineering; Automotive Engineering; Mechanical Engineering
ISSN
0025-6455
eISSN
1572-9648
D.O.I.
10.1007/s11012-017-0648-7
Publisher site
See Article on Publisher Site

Abstract

We consider a dry friction oscillator on a moving belt with both the Coulomb friction and a small nonlinear addition which can model e.g. the Stribeck effect. By using the perturbation theory, we establish a new condition for the nonlinearity to ensure the occurrence of a stick–slip limit cycle. The test obtained is more accurate compared to what one gets by building upon the divergence test.

Journal

MeccanicaSpringer Journals

Published: Mar 16, 2017

References

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