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arXiv · 1605.05030

A new test for stick-slip limit cycles in dry-friction oscillators with small nonlinear friction characteristics

O. Makarenkov
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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 sufficient 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.

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O. Makarenkov. 2016-05-17. A new test for stick-slip limit cycles in dry-friction oscillators with small nonlinear friction characteristics. https://arxiv.org/abs/1605.05030

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