Skip to Main content Skip to Navigation
Journal articles

New limit cycles of dry friction oscillators under harmonic load

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.
Complete list of metadatas

Cited literature [9 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00747517
Contributor : Frédéric Davesne <>
Submitted on : Monday, June 6, 2016 - 12:35:22 AM
Last modification on : Tuesday, June 30, 2020 - 11:56:09 AM

File

747517.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Collections

Citation

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

Share

Metrics

Record views

173

Files downloads

347