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Journal Articles Nonlinear Dynamics Year : 2012

New limit cycles of dry friction oscillators under harmonic load

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Abstract

We consider a system composed of two masses connected by linear springs. One of the masses is in contact with a driving belt moving at a constant velocity. Friction force, with Coulomb's characteristics, acts between the mass and the belt. Moreover, the mass is also subjected to a harmonic external force. Several periodic orbits including stick phases and slip phases are obtained. In particular, the existence of periodic orbits including a part where the mass in contact with the belt moves in the same direction at a higher speed than the belt itself is proved. Non-sticking orbits are also found for a non-moving belt. We prove that this kind of solution is symmetric in space and in time.
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Dates and versions

hal-00747517 , version 1 (06-06-2016)

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Attribution - CC BY 4.0

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Madeleine Pascal. New limit cycles of dry friction oscillators under harmonic load. Nonlinear Dynamics, 2012, 70 (2), pp.1435--1443. ⟨10.1007/s11071-012-0545-5⟩. ⟨hal-00747517⟩
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