This article is cited in 5 papers

The friction model in the case of a planar elliptic contact of a body with the supporting surface

Mariya A. Munitsyna

M. V. Lomonosov Moscow State University, Leninskie gory 1, Moscow, 119991, Russia

Abstract: The Contensou–Zhuravlev model [1, 2] is extended to include the case of planar elliptic contact of a convex body with a horizontal plane. The Padé approximations of expressions for determining the friction force and friction torque are constructed. The resulting model is applied to the numerical investigation of the dynamics of a homogeneous ellipsoid of revolution on a horizontal plane.

Keywords: dry friction, Coulomb law.

UDC: 531.46

MSC: 70F40

Received: 17.05.2012
Revised: 24.07.2012