Method of rolling metal

Claim 1

A method of rolling metal for producing a metal plate or a metal sheet having a desired range of thickness through a sequence of rolling passes, said method comprising the steps of: detecting variations in deformation resistance of the metal which is being rolled along a longitudinal direction of the metal; estimating, on the basis of the detected variations in the deformation resistance of the metal of at least one preceding pass, the variations in deformation resistance and a resulting variations in rolling force in the finishing pass along the longitudinal direction of the metal using a rolling force estimation equation and a deformation resistance estimation equation; calculating and physically forming a distribution of thickness of the metal before the entrance of the finishing pass along the longitudinal direction of the metal, using said estimated variations in deformation resistance and in rolling force; and rolling the metal so as to obtain the distribution of the thickness of the metal necessary to cancel the variation in the rolling force at the entrance of the finishing pass.

Claim 2

A method of rolling metal for producing a metal plate or a metal sheet having a desired range of thickness through a sequence of rolling passes, said method comprising the steps of: detecting variations in deformation resistance of the metal which is being rolled along a longitudinal direction of the metal; estimating, on the basis of the detected variations in the deformation resistance of the metal of at least one preceding pass, the variations in deformation resistance and a resulting variations in rolling force in the finishing pass along the longitudinal direction of the metal using a rolling force estimation equation and a deformation resistance estimation equation; calculating and physically forming a distribution of thickness of the metal before the entrance of the finishing pass along the longitudinal direction of the metal, using said estimated variations in deformation resistance and in rolling force; and rolling the metal so as to obtain the distribution of the thickness of the metal necessary to cancel the variation in the rolling force at the entrance of the finishing pass.

Claim 3

A method of rolling metal for producing a metal plate or a metal sheet having a desired range of thickness through a sequence of rolling passes, said method comprising the steps of: calculating from a rolling force and the roll gap length metal thicknesses H(n-2) and H(n-1) along a longitudinal direction of the metal, that is, the metal thicknesses at an (n-2)th pass and an (n-1)th pass, respectively, where an nth pass is a pass preceding a finishing pass; calculating, in accordance with a rolling force estimation equation, a deformation resistance K(n-1) along the longitudinal direction of the metal at the (n-1)th pass from the H(n-2) and, the H(n-1) thicknesses as well as a rolling force F(n-1) along the longitudinal direction of the metal at the (n-1)th pass; calculating, in accordance with a deformation resistance estimation equation, a deformation resistance K(n) along the longitudinal direction of the metal at the nth pass; calculating, in accordance with a deformation resistance estimation equation, a deformation resistance K(n+1) along the longitudinal direction of the metal at an (n+1)th pass; calculating a metal thickness H(n) which should be attained at the nth pass, using a rolling force estimation equation, from a command rolling force F(n+1) at the (n+1)th pass, a command metal thickness H(n+1) at the (N+1)th pass, and K(n+1), said command rolling force F(n+1) and command metal thickness H(n+1) being assumed constant during the (n+1)th pass; calculating, in accordance with the rolling force estimation equation, a rolling force F(n) along the longitudinal direction of the metal at the nth pass from the H(n), the H(n-1), and the K(n); calculating the roll gap length or a variation ΔS(n)' of the roll gap length corresponding to each of a plurality of points along the longitudinal direction of the metal; and rolling the metal at the nth pass, using a command roll gap length or a variation ΔS(n) of the roll gap length obtained by multiplying ΔS(n)' by a constant G, in synchronization with displacement of the metal.

Claim 4

A method of rolling metal for producing a metal plate or a metal sheet having a desired range of thickness through a sequence of rolling passes, said method comprising the steps of: calculating from a rolling force and the roll gap length metal thicknesses H(n-2) and H(n-1) along a longitudinal direction of the metal, that is, the metal thicknesses at an (n-2)th pass and an (n-1)th pass, respectively, where an nth pass is a pass preceding a finishing pass; calculating, in accordance with a rolling force estimation equation, a deformation resistance K(n-1) along the longitudinal direction of the metal at the (n-1)th pass from the H(n-2) and, the H(n-1) thicknesses as well as a rolling force F(n-1) along the longitudinal direction of the metal at the (n-1)th pass; calculating, in accordance with a deformation resistance estimation equation, a deformation resistance K(n) along the longitudinal direction of the metal at the nth pass; calculating, in accordance with a deformation resistance estimation equation, a deformation resistance K(n+1) along the longitudinal direction of the metal at an (n+1)th pass; calculating a metal thickness H(n) which should be attained at the nth pass, using a rolling force estimation equation, from a command rolling force F(n+1) at the (n+1)th pass, a command metal thickness H(n+1) at the (N+1)th pass, and K(n+1), said command rolling force F(n+1) and command metal thickness H(n+1) being assumed constant during the (n+1)th pass; calculating, in accordance with the rolling force estimation equation, a rolling force F(n) along the longitudinal direction of the metal at the nth pass from the H(n), the H(n-1), and the K(n); calculating the roll gap length or a variation ΔS(n)' of the roll gap length corresponding to each of a plurality of points along the longitudinal direction of the metal; and rolling the metal at the nth pass, using a command roll gap length or a variation ΔS(n) of the roll gap length obtained by multiplying ΔS(n)' by a constant G, in synchronization with displacement of the metal.