FROM NON-HOLONOMIC CONSTRAINT EQUATION TO EXACT TRANSPORT ALGORITHM FOR ROLLING CONTACT

Abstract

The one-point contact problem roughly describing the rolling behaviour of wheels and the sliding behaviour of sleds was defined by Hertz, Cartheodory, Hamel and others. Extending this idea to a continuous field of contact points in a closed 2-dimensional domain produces the nonstationary field of tractrices in the contact area. One has to solve nonlinear partial first order differential equations or integral equations. Discretisation of the whole wheel in dynamic contact gives rise to a new method which is not based on finite element method. Measurements and computations of rolling wheels on a glass plate show that high frequency behaviour of the contact of wheels has to be taken into account to understand all phenomenas.