Linear Buckle Analysis for Partially Buckled Webs

Web processing requires that the web is stretched under tension between two processing rolls. When the processing rolls are misaligned or moved relative to each other, a web deflection is introduced which causes the web stress to change. Small roll misalignments or movements may cause large web stresses, yielding, and failure. The web stress distribution and deflection can only be found if the buckled and unbuckled portions of the web are determined. This paper presents the assumptions and analytical method needed to find the boundary edge between the buckled and unbuckled portions of the web. Also, the method for analyzing the unbuckled portion of the web to determine the web end deflection, end rotation, and maximum stress is included.