ANALYSIS OF PLATE ROLLING USING THE DUAL-STREAM FUNCTION-METHOD AND CYLINDRICAL COORDINATES

A mathematical model for plate rolling using the dual-stream function method and cylindrical coordinates has been proposed in this work to e xamine the plastic-deformation behavior of the plate at the roll gap. The velocity fields derived from this newly developed dual-stream func tion can automatically satisfy the volume constancy and the velocity b oundary conditions within the roll gap. In the formulation, an incline d rigid-plastic boundary plane at the entrance of the roll gap is cons idered. Although this effect can be easily included in a finite elemen t method, the demanding amount of memory and the computer time by an F EM approach makes it impractical as a personal computer routine. By th is model, effects of various forming parameters such as the roll diame ter, thickness of the plate, the friction factor, the aspect ratio of the plate, etc., upon the width spread of the product and the rolling power were discussed systematically. Furthermore, experiments on plate rolling using aluminum sheets were carried out. From the comparison b etween the analytical and experimental results, it is clear that this model can offer useful knowledge in designing the pass-schedule of pla te rolling process. (C) 1997 Published by Elsevier Science Ltd.