Retroactive effect of variable tensile forces on lateral web motion and lateral registration errors

Abstract

The lateral position of a continuous web can be determined by a control roller at an angle to the longitudinal direction of web motion together with subsequent auxiliary rollers. However, a change in the tensile force changes this lateral position. The solution of the system of descriptive differential equations leads to a separate treatment of pure translation and pure rotation of the control roller. However, a resulting block plan for the dynamics of lateral motion was found, which is combined with the longitudinal mass flow and the retroactive effect of variable tensile forces on the lateral motion. Transverse and longitudinal register errors in the multi-roller system can be mapped together with the mass flow chain in the form of a multi-layer model. This enables extensive simulations of all system quantities as well as the design and optimization of control loops.