Stripe theory based numerical method for solving asymmetrical hysteresis of friction force in linear rolling guideways
- 82 Downloads
Linear rolling guideways (LRGs) play an important role in precision engineering. In the pre-rolling region, the hysteretic friction force exerts great impacts on the positioning accuracy. Numerical and experimental studies of the hysteresis of friction force are presented in this paper. A model, which is based on the stripe theory and the simplified theory of rolling contact, is built to describe the transient hysteresis of the friction force. Then, the model is modified by taking the anelasticity effect into consideration. Experimentally, a linear motor direct-drive setup is utilized to measure the transient asymmetrical hysteresis of the friction force in the pre-rolling region of an LRG. The influences of the pre-rolling displacement and the dwelling time on the asymmetrical hysteresis of the friction force are studied. The numerical and experimental results are well correlated, which shows good accuracy of the model. The transient asymmetrical hysteresis of friction force in the pre-rolling region of LRGs can thus be determined using the model.
Keywordspre-rolling friction anelasticity hysteresis linear rolling guideway
Unable to display preview. Download preview PDF.
- 7.Harris T A, Kotzalas M N. Rolling Bearing Analysis, Fifth Edition: Advanced Concepts of Bearing Technology. Boca Raton/London/ New York: Taylor and Francis Group, LLC, 2007Google Scholar
- 8.Haines D J, Ollerton E. Contact stress distribution on elliptical contact surfaces subjected to radial and tangential forces. In: Proceedings of Institution of Mechanical Engineers, London, 1963. 177: 45–54Google Scholar
- 9.Kalker J J. A strip theory for rolling with slip and spin. In: Proc. Kon. Ned. Acad. van Wetenschappen, 1967, B70: 10–62Google Scholar
- 12.Kalker J J. Simplified theory of rolling contact. Delft Progress Report, Series C, 1973. 11–10Google Scholar
- 16.Al-Bender F, De Moerlooze K. A model of the transient behavior of tractive rolling contacts. Adv Tribol, 2008, 214894. 1–17Google Scholar
- 19.De Moerlooze K, Al-Bender F. Experimental investigation into the tractive prerolling behavior of balls in V-grooved tracks. Adv Tribol, 2008, 561280. 1–10Google Scholar
- 22.Nowick A S. Anelastic Relaxation in Crystalline Solids (Vol. 1). New York: Academic Press, 2012. 8–9Google Scholar