Mathematical description of the interaction process in a roll module

Abstract

An analysis of the shape of the contact arc in the roll module was performed for the case when changes in the thickness of the material and the roller coating at each point of the contact zone occur in the radial direction to the roller axis. Mathematical models of the shape of the contact arc of the roll module were developed. Particular mathematical models of the contact arc shape were obtained for the cases when the material being processed is absolutely elastic, elastic-viscous, and plastic. It was determined that the shape of the contact arc in the roll module depends primarily on the geometric and deformation properties of the roller material and the roller coating.