On Rolling Contact (1st Report)

Abstract

This paper deals with the calculation of the rolling contact of disks caused by elastic deformation. First, by the study on the mechanism of rolling contact, it is known that in the load transmitting wheel there always occurs the apperent slippage due to the elastic deformation of the wheels in and near the contact area at any small load and this brings about the loss of energy. Then the condition of the elastic contact of two bodies and the integral equations or distribution of normal and tangential forces are obtained. Under the assumtion of Coulomb's friction law, these equations are solved and force distribution is obtained as the functions of external forces and the slip ratio of two wheels or the loss of transmitting energy. The distributions of stress and strain are also calculated.