Sage Journals: Discover world-class research

Abstract

Dynamics of small free swings of a pendulum supported by two spherical balls pre-rolling on a flat basis are considered to investigate the occurrence of micro-slippage at the contact interface between the balls and the flat surface. The basic mechanisms of this micro-slippage are investigated, showing how geometric conditions could initiate and magnify micro-slippage rather than assuming that these effects are core characteristics in any rolling system. This article also discusses the energy dissipation of a ball slipping on a flat surface at pre-rolling caused by three mechanisms and the conditions enabling the decrease of energy dissipation of the pendulum and the influence of the basis vibrations.

Keywords

Rolling friction pre-rolling micro-slip balance of a physical pendulum

Get full access to this article

View all access options for this article.

References

Mekid

. A non-linear model for pre-rolling friction force in precision positioning. Proc IMechE Part J: J Engineering Tribology 2003; 218: 305–311.

Tan

Modafe

Ghodssi

. Measurement and modeling of dynamic rolling friction in linear microball bearings. J Dyn Syst Meas Control 2006; 128: 891–898.

Amthor

Zschaeck

Ament

. High precision position control using and adaptive friction compensation approach. IEEE Trans Autom Control 2010; 55(1): 274–278.

Azad M and Featherstone R. Modeling the contact between a rolling sphere and a compliant ground plane. In: Australasian conference on robotics and automation association, Brisbane, Australia, 1–3 December 2010, pp. 134–138.

Madden P. Construction of a digitally controlled scanning tunneling microscope. MS Thesis, Montreal, 1996.

Symens

Al-Bender

. Dynamic characterization of hysteresis elements in mechanical systems. II. Experimental validation. Chaos 2005; 15(1): 1–11.

Al-Bender

De Moerlooze

. A model of the transient behavior of tractive rolling contacts. Adv Tribol 2008; 2008: 1–17.

Bowden

Tabor

. The friction and lubrication of solids, Clarendon: Oxford, 1950.

Kragelsky

Dobychin

Kombalov

. Basic calculations on friction and wear, Moscow: Mashinostroenie, 1977.

10.

Johnson

. Contact mechanics, Cambridge: Cambridge University Press, 1987.

11.

Dzhilavdari

Riznookaya

. An experimental assessment of the components of rolling friction of balls at small cyclic displacements. J Frict Wear 2008; 5: 330–334.

12.

Pinegin

. Rolling friction in machines and devices, Moscow: Mashinostroenie, 1976.

13.

Izmailov

Karagioz

Silin

. Measurement of the coefficient of rolling friction dissipative method. Modern methods and tools for measuring the external friction. Inst Phys Tech Meas 1977, pp. 47–51.

14.

Savenko

Izmailov

Karagioz

. Application of the pendulum method for analyzing the mechanisms of energy absorption in rolling. J Frict Wear 1988; 9: 212–222.

15.

Mindlin

Deresiewicz

. Elastic spheres in contact under varying oblique forces. ASME J Appl Mech 1953; 20(9): 327–344.

16.

Dosovitsky GA. What is MEMS, micro electro mechanical systems, http://www.nanometer.ru/2010/09/30/mems_218368.html (30 September 2010, accessed 5 January 2011).

17.

Gilavdary