Research in Engineering and Aviation
Recent Developments in Strip Profile Calculation
Author(s): Malik, A.S. and Grandhi, R. V.
Two critical aspects in attaining high-quality rolled metal strip are the cross-sectional strip thickness profile and its related flatness (or shape). While these geometric attributes of the strip have been extensively studied (Ginzburg 1989; Roberts,1978), the requirements for higher quality and increasingly thinner strip compel the development of more rapid and accurate mathematical models for predicting and controlling strip profile and flatness. Following a brief review of existing approaches, we introduce a new mathematical method to calculate the strip profile and related flatness.*Comparison of the calculated deflections with those predicted by large-scale finite element analysis (FEA) is also shown. The new method employs a simplified mixed finite element approach,
and it applies to both hot mills and cold mills— including complex cluster-type cold-rolling configurations. The new method accommodates the typical profile and flatness control mechanisms such as roll crowning, roll bending, roll shifting, and roll crossing, in addition to thermal and wear effects. Straightforward application of the model to dynamic analysis is also possible, including determination of natural frequencies and mode shapes of vibration for rolling mills.