Contact mechanical approach to the winding nip

Abstract

A contact mechanical model for the winding nip, consisting of the wound roll, winding drum and the intervening sheet, is presented. The roll and drum are modeled as linear, orthotropic, homogeneous cylinders with a rigid core. The elastic solutions for the cylinders are derived analytically in a series form. The sheet is modeled as a linear and orthotropic material as well. An approximate elastic solution for the sheet is obtained by assuming an internal stress distribution compatible with the boundary conditions (thin sheet approximation). The governing contact mechanical equations are presented and the appropriate form of the wound-on-condition of the sheet is presented.