Controlling friction
chao-dyn
2009-10-30 v1 Chaotic Dynamics
Abstract
Two different controlling methods are proposed to stabilize unstable continuous-sliding states of a dry-friction oscillator. Both methods are based on a delayed-feedback mechanism well-known for stabilizing periodic orbits in deterministic chaos. The feedback variable is the elastic deformation. The control parameter is either the sliding velocity or the normal force. We calculate analytically stability boundaries in the space of control parameter and delay time. Furthermore, we show that our methods are able to turn stick-slip motion into continuous sliding. Controlling friction helps to get a better understanding of friction by measuring, e.g., velocity-weakening friction forces.
Cite
@article{arxiv.chao-dyn/9711024,
title = {Controlling friction},
author = {Franz-Josef Elmer},
journal= {arXiv preprint arXiv:chao-dyn/9711024},
year = {2009}
}
Comments
Written in REVTeX, 4 pages, 6 Postscript figures