A Numerical Solution for the Contact Problem Involving Bodies With Cylindrical Surface Considering Cylinder Effect

Abstract

Presented here is a method of solution for three-dimensional contact involving cylindrical bodies without using the half-space assumption. The solution involves the numerical iterative technique to determine the contact pressure in various cells discretizing a prescribed area on the cylindrical surface, sufficiently large to cover the contact. The iteration is carried out using the flexibility matrix which is the radial deflections at various cell centers due to a uniformly distributed unit load acting in a small cell on the cylindrical surfaces. Numerical results have been obtained for (1) the closely conformed contact of a journal and a shaft and (2) the low conformity contact between a roller and a raceway. The results consist of contact pressure distribution, as well as elastic approach between the two bodies in contact.