Analyses of stress components for a circular crowned roller compressed between two flat plates

Abstract

Stiffness models of a roller compressed between two plates, based on contact mechanics with either a finite plate thickness condition or a half-space plate, can describe the deformation curve very well. By using the prescribed deformed curve, stress component analyses is an important research topic for engineering purposes. Therefore, the main purpose of this paper is to determine stress components when a circular crowned roller is compressed between two plates. A deformed curve on a plate surface and the stiffness of the model are evaluated. Thereafter, normal contact pressure on the plate surface is calculated with the help of the calculated deformation curve and the accuracy of the computation is validated by comparing it with finite-element results. Finally, stress components in the plate are obtained in terms of contact theories, and parametric studies were conducted to learn about the variation of stress components inside the plate. The results reveal that the stress concentration effect becomes large near the edge when the stress is close to the surface of the plate. Moreover, the direction of shear stress is changed at half the contact line distance from the centre of contact and the stress components decrease with increasing depth of the plate. The parametric studies also indicate that the stress components increase with increasing applied displacements.