Static model for Sendzimir cold-rolling mill

Abstract

The design of shape-control systems is an area of current interest in the steel industry. The object of shape control is to adjust the mill so that the rolled strip is free from internal stresses. Both static and dynamic mill models are requiredfor this purpose. A static model enables shape profiles to be calculatedfor a given set of actuator positions, and is used to generate the steady-state mill gains. Such a model is presented in this paper. The method of calculation of shape profiles is discussed. These shape profiles are plotted against the distance across the strip. Linearized mill gains are calculated about a given shape-operating point and these relate the shape changes to the actuator changes. A mill gain matrix, obtained by measuring shape at eight points across the strip, is presented.

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References

GRIMBLE

M. J.

: Chart. Mech. Eng., 1975, 91–93.

DAVIES

: Iron Steel, Aug. 1972, 391–395.

BRAVINGTON

C. A.

, BARRY

D. C.

, and MCCLURE

C. H.

: ‘Shape Con-trol‘. 82–88: 1976. London, The Metals Society.

ELM ARDS

W. J.

and SPOONER

P. D.

: ‘AutomatIon of tandem mills‘, (ed. Bryant

G. F.

), 176; 1973, London, The Iron and Steel Institute.

PEARSON

W. K. J.

: J. Inst. Met., 1964-65, 93, 169–178.

SABATINI

and YEOMANS

K. A.

: J. Iron Steel Inst., 1968, 206, 1207–1213.

GUNAWARDENE

G. w. D. M.

and GRIMBLE

M. J.

: ‘Development of a static model for a Sendzimir cold rolling mill’, presented at IMACS (AICA) symp. on simulation of control systems, Technische Universität, Vienna, Austria, Sept. 1978.

URAYAMA

, TAKATOKU

, NIWA

, and SAWADA

: ‘Shape con-trol’, 101–106; 1976, London, The Metals Society.

STONE

M. D.

and GRAY

: Iron Steel Eng., Aug. 1965.

10.

HETENYI

: ‘Beams on elastic foundations‘: 1946, University of Michigan Press.

11.

TIMOSHENKO

and GOODIER

J. N.

: ‘Theory of elasticity’, 380–433; 1951, New York, McGraw-Hill.

12.

ROARK

R. J.

and w. YOUNG

: ‘Formulas for stress and strain’, 5 ed.; 1975, New York, McGraw-Hill.

13.

BRYANT

G. F.

and OSBORN

: ‘Automation of tandem mills’, (ed. Bryant

G. F.

), 245–278; 1973, London, The Iron and Steel Institute.

14.

GRIMBLE

N. J.

: PhD thesis, University of Birmingham, 1974.

15.

BRYANT

G. F.

and OSBORN

: ‘Automation of tandem mills’, (ed. Bryant

G. F.

), 279; 1973, London, The Iron and Steel Institute.

16.

OROWAN

: Proc. Inst. Mech. Eng., 1943, 150, 140.

17.

GRIMBLE

M. J.

, FULLER

M. A.

, and BRYANT

G. F.

: int. Numer.Methods Eng., 1978, 12, 643–663.

18.

UNDERWOOD

I. R.

: ‘The rolling of metals theory and experiment‘, Vol.], 9–316; 1950, London, Chapman and Hall.

19.

CONTE

S. D.

: ‘Elementary numerical analysis’; 1965, New York, McGraw-Hill.

20.

SPOONER

P. D.

and BRYANT

G. F.

: ‘Shape control‘, 19–25; 1976, London, The Metals Society.