ANZIAM J. 46(E) pp.C987--C1000, 2005.
Instability in lateral dynamics of a metal strip in cold rolling
T. Tarnopolskaya | D. J. Gates | F. R. de Hoog | W. Y. D. Yuen |
Abstract
Consider the lateral dynamics of a strip between the uncoiler and the first stand of a cold rolling mill: operational problems are experienced in the metal rolling industry. Here we introduce a physically based model for the buckling of the strip between the uncoiler and the reduction mill. The model reveals, for the first time, that there exists a critical level of asymmetry in rolling conditions above which the strip motion becomes unstable. Below this level, two solutions of the steady-state model exist. Whereas one of these solutions represents a stable equilibrium, the other exhibits the features of unstable equilibrium. The motion of the strip is sensitive to the initial lateral deviation of the strip. For a given level of asymmetry, a sudden transition to unstable motion occurs if a critical lateral deviation is reached. The model can be used as a basis for development of a multi-stand model of lateral dynamics.
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Authors
- T. Tarnopolskaya
- D. J. Gates
- F. R. de Hoog
- D. J. Gates
- CSIRO Mathematical & Information Sciences, Australia. mailto:tanya.tarnopolskaya@csiro.au
- W. Y. D. Yuen
- BlueScope Steel Research, Australia.
Published October 7, 2005. ISSN 1446-8735
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