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
Citation:
Munitsyna M. A., The friction model in the case of a planar elliptic contact of a body with the supporting surface, Rus. J. Nonlin. Dyn.,
2012, Vol. 8, No. 4,
pp. 705-712
DOI:10.20537/nd1204003