Method of gauging and controlling workpiece profile in a rolling mill

A method of controlling the profile of a moving bar or like workpiece in a rolling mill, comprising the steps of:

• disposing about said workpiece at a gauging station gauging means for continuously gauging diameters at angular positions on the periphery of said workpiece;
• computing for said workpiece a roll-free diameter Df, and a maximum diameter Dx and a minimum diameter Dn other than said roll-free diameter Df, on the basis of the diameter values gauged by said workpiece gauging means for at least half of the periphery of said workpiece and on the basis of assigning as Df the gauged diameter corresponding to the largest value of Y computed in accordance with the regression curve Y=A sin .phi. where Y is a calculated deviation from a desired diameter of the workpiece, A is a constant representing the maximum deviation when .phi.=90.degree. and .phi. is the angle of the position of the deviation Y taken from a zero value position selected so that the regression curve best approximates the actual measured deviations from the desired diameter of the workpiece;
• computing the corresponding peripheral positions of Dx and Dn relative to the peripheral position of said Df at said gauging station, said computation of the diameters and positions of Dx and Dn excluding gauged values in the angular range of 30.degree. to either side of the peripheral position of said Df at said gauging station;
• computing and setting a value for the desired tension .sigma. to be imparted to a No. i rolling stand disposed next upstream of said workpiece gauging station for maintaining the value of Df constant and between the values of Dx and Dn;
• and
• controlling the rotation speed of the rolls of a No. (i-1) rolling stand disposed next upstream of said No. i rolling stand to establish said desired tension.

A method of controlling the profile of a moving bar or like workpiece in a rolling mill, comprising the steps of:

• disposing about said workpiece at a gauging station gauging means for continuously gauging diameters at angular positions on the periphery of said workpiece;
• computing for said workpiece a roll-free diameter Df, and a maximum diameter Dx and a minimum diameter Dn other than said roll-free diameter Df, on the basis of the diameter values gauged by said workpieces gauging means for at least half of the periphery of said workpieces and on the basis of assigning as Df the gauged diameter corresponding to the largest value of Y computed in accordance with the regression curve Y=A sin .phi. where Y is a calculated deviation from a desired of the workpiece, A is a constant representing the maximum deviation when .phi.=90.degree. and .phi. is the angle of the position of the deviation Y taken from a zero value position selected so that the regression curve best approximates the actual measured deviations from the desired diameter of the workpiece;
• computing the corresponding peripheral positions of Dx and Dn relative to the peripheral position of said Df at said gauging station, said computation of the diameters and positions of Dx and Dn excluding gauged values in the angular range of 30.degree. to either side of the peripheral position of Df at said gauging station;
• computing and controlling a correction factor X of the roll gap of a No. i rolling stand disposed next upstream of said workpiece gauging station on the basis of the values of Df, Dx and Dn so as to change the values of Dx and Dn and to attain equality between the value of Dn+(Dx-Dn)/2 and the desired diameter D;
• and
• computing and controlling a correction factor Y of the roll gap of a No. (i-1) rolling stand disposed next upstream of said No. i rolling stand so as to maintain the value of Df constant and between the values of Dx and Dn.

A method of controlling the profile of a moving bar or like workpiece in a rolling mill comprising the steps of:

• disposing about said workpiece gauging means for continuously gauging for said workpiece its roll-free diameter Df, its maximum diameter Dx and its minimum diameter Dn, other than said roll-free diameter Df;
• continuously gauging Df, Dx and Dn and the corresponding peripheral positions of Dx and Dn;
• computing and setting a value for the desired tension .sigma. to be imparted to a No. i rolling stand disposed next upstream of said workpiece gauging means for maintaining the value of Df constant and between the values of Dx and Dn, said desired tension .sigma. being computed in accordance with the relationship ##EQU3## where k is the deformation resistance of the workpiece, K is the tension-breadth change conversion coefficient;
• and D is the desired diameter of the workpiece between Dx and Dn;
• and
• controlling the rotation speed of the rolls of a No. (i-1) rolling stand disposed next upstream of said No. i rolling stand to establish said desired tension.

A method of controlling the profile of a moving bar or like workpiece in a rolling mill comprising the steps of:

• disposing about said workpiece gauging means for continuously gauging for said workpiece its roll-free diameter Df, its maximum diameter Dx and its minimum diameter Dn, other than said roll-free diameter Df;
• continuously gauging Df, Dx and Dn and the corresponding peripheral positions of Dx and Dn;
• computing and setting a value for the desired tension .sigma. to be imparted to a No. i rolling stand disposed next upstream of said workpiece gauging means for maintaining the value of Df constant and between the values of Dx and Dn;
• controlling the rotation speed of the rolls of a No. (i-1) rolling stand disposed next upstream of said No. i rolling stand to establish said desired tension;
• and
• controlling the roll gap at said No. i rolling stand to attain equality between the value of Dn+(Dx-Dn)/2 and the desired diameter D by changing a correction factor X of the roll gap of said No. i rolling stand on the basis of the gauged values of Dx and Dn, said correction factor X being computed in accordance with the relationship ##EQU4## where D is the desired diameter of the workpiece and .theta. is the angle of the position of Dx measured from the position of Df.

A method of controlling the profile of a moving bar or like workpiece in a rolling mill comprising the steps of:

• disposing about said workpiece gauging means for continuously gauging for said workpiece its roll-free diameter Df, its maximum diameter Dx and its minimum diameter Dn, other than said roll-free diameter Df;
• continuously gauging Df, Dx and Dn and the corresponding peripheral positions of Dx and Dn;
• computing and setting a value for the desired tension .sigma. to be imparted to a No. i rolling stand disposed next upstream of said workpiece gauging means for maintaining the value of Df constant and between the values of Dx and Dn, said desired tension .sigma. being computed in accordance with the relationship ##EQU5## where k is the deformation resistance of the workpiece, K is the tension-breadth change conversion coefficient;
• and D is the desired diameter of the workpiece between Dx and Dn;
• controlling the rotation speed of the rolls of a No. (i-1) rolling stand disposed next upstream of said No. i rolling stand to establish said desired tension;
• and
• controlling the roll gap at said No. i rolling stand to attain equality between the value of Dn+(Dx-Dn)/2 and the desired diameter D by changing a correction factor X of the roll gap of said No. i rolling stand on the basis of the gauged values of Dx and Dn.

A method of controlling the profile of a moving bar or like workpiece in a rolling mill comprising the steps of:

• disposing about said workpiece gauging means for continuously gauging for said workpiece its roll-free diameter Df, its maximum diameter Dx and its minimum diameter Dn, other than said roll-free diameter Df;
• continuously gauging Df, Dx and Dn and the corresponding peripheral positions of Dx and Dn;
• computing and controlling a correction factor X of the roll gap of a No. i rolling stand disposed next upstream of said workpiece gauging means on the basis of the values of Df, Dx and Dn so as to change the values of Dx and Dn and to attain equality between the value of Dn+(Dx-Dn)/2 and the desired diameter D, said correction factor X being computed in accordance with the relationship ##EQU6## where D is the desired diameter of the workpiece and .theta. is the angle of the position of Dx measured from the position of Df;
• and
• computing and controlling a correction factor Y of the roll gap of a No. (i-1) rolling stand disposed next upstream of said No. i rolling stand so as to maintain the value of Df constant and between the values of Dx and Dn.