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

作者：Makarenkov Oleg^*

来源：Meccanica, 2017, 52(11-12): 2631-2640.

DOI：10.1007/s11012-017-0648-7

• Dry-friction oscillator
• Perturbation theory
• Stick-slip limit cycle
• Grazing-sliding bifurcation
• Stribeck effect

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.

• 出版日期2017-9