Modellierung des Umschlingungswinkels eines auf Rollen geführten Metallbandes

This paper deals with the mathematical modelling of the contact angle of a metal strip supported by periodically assembled rolls, as it is often the case in strip processing plants. The derivation of the governing differential equation is carried out by means of the calculus of variations for moving boundaries. An ideal-elastic-idealplastic material law of a periodic bending cycle is introduced. Simulation studies are used to evaluate the influence of essential parameters on the contact angle.