Patent Document ID: 8176762
Application ID: 12907111
Patent Flag: 1

Claim One:
1. A controller used to operate at least one of an actuator and a roller of a rolling mill to adjust a shape associated with an article produced in said rolling mill, said controller comprising: a microprocessor; and an algorithm configured such that a set of displacement values corresponding to a linear relationship [u]=[K] −1 [f] are calculated by cooperation of said algorithm and said microprocessor, where [u] represents said set of displacement values, [f] represents a set of imposed force values, and [K] −1 represents a set of inverted stiffness values, at least one of said [u], [f] and [K] −1 comprise a plurality of individual nodal values that are aggregated by said algorithm, wherein at least a portion of said individual nodal values are based on a combination of beam elements and continuous elastic foundations coupled between said beam elements, said controller configured such that upon calculation by said microprocessor of said set of displacement values associated with at least one of profile and flatness values corresponding to at least one surface dimension of said article being modified, said controller instructs said actuator to arrange said roller to reduce a deviation from a desired modified surface dimension without an appreciable change in the speed with which said article is passed in contact with said roller.