A non-linear model for pre-rolling friction force in precision positioning
- 1 April 2004
- journal article
- research article
- Published by SAGE Publications in Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology
- Vol. 218 (4), 305-312
- https://doi.org/10.1243/1350650041762686
Abstract
Ultra-precision positioning is contaminated by the non-linearities and hysteresis caused by Hertzian contact at pre-rolling due to the absence of accurate models that could be implemented by positioning controllers to compensate for it. In this paper an attempt is made to model such behaviour at low speed and dry conditions while taking into account the mechanical characteristics of the bodies in contact. The proposed model simulates the non-linear behaviour, called non-linear spring behaviour (NSB), from pre-rolling to the steady state rolling without a transitional function. The model is compared to experimental measurements performed with several materials.Keywords
This publication has 15 references indexed in Scilit:
- The influence of nonlinear spring behavior of rolling elements on ultraprecision positioning control systemsNanotechnology, 1998
- A new model for control of systems with frictionIEEE Transactions on Automatic Control, 1995
- Experimental Measurements of the Rest-Slope and Steady Torque on Ball Bearings Experiencing Small Angular RotationsTribology Transactions, 1994
- Evaluation of Ultra-Low-Speed Jitter in Rolling BallsJournal of Tribology, 1992
- TribologyPublished by Springer Science and Business Media LLC ,1991
- Nanometer positioning and its micro-dynamicsNanotechnology, 1990
- Three-Dimensional Elastic Bodies in Rolling ContactPublished by Springer Science and Business Media LLC ,1990
- A model for coulomb torque hysteresis in ball bearingsInternational Journal of Mechanical Sciences, 1987
- A study of the relationships governing starting rolling frictionWear, 1984
- Study of rolling friction — behaviour of the small displacement of starting rolling frictionWear, 1983