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Research Papers

A New Model for the Prediction of Roll Deformation in a 20-High Sendzimir Mill

[+] Author and Article Information
S. M. Hwang

e-mail: smhwang@postech.ac.kr
Department of Mechanical Engineering,
Pohang University of Science and Technology,
Pohang 790-784, Korea

1Corresponding author.

Manuscript received June 27, 2012; final manuscript received September 11, 2013; published online November 5, 2013. Assoc. Editor: Jyhwen Wang.

J. Manuf. Sci. Eng 136(1), 011004 (Nov 05, 2013) (12 pages) Paper No: MANU-12-1192; doi: 10.1115/1.4025453 History: Received June 27, 2012; Revised September 11, 2013

A sound model for the prediction of the deformed roll profile during flat rolling is vital for the precision control of the strip profile and strip shape. However, preliminary investigations reveal that the applicability of existing models may be limited due to their inherent predictions errors. In this paper, a new model is proposed which is capable of precisely predicting the deformed roll profile in a multihigh mill. The model, which is developed on the basis of the predictions from finite element simulation, is applied to the analysis of roll deformation in a 20-high Sendzimir mill under some special conditions, such as rigid outer rolls and no roll shifting, etc. The prediction accuracy of the new model is demonstrated through comparison with the predictions from the finite element simulation.

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References

Ogawa, S., Hamauzu, S., Matsumoto, H., and Kawanami, T., 1991, “Prediction of Flatness of Fine Gauge Strip Rolled by 12-High Cluster Mill,” ISIJ Int., 31(6), pp. 599–606. [CrossRef]
Kim, J. T., Yi, J. J., and Han, S. Y., 1996, “Shape Control of Alloy Steel Rolled by Sendzimir Mill,” KSME J., 10(3), pp. 277–285.
Hacquin, A., Montmitonnet, P., and Guillerault, J.P., 1998, “A Three-Dimensional Semi-Analytical Model of Rolling Stand Deformation With Finite Element Validation,” Eur. J. Mech., A/Solids, 17(1), pp. 79–106. [CrossRef]
Guo, R. M., and Malik, A. S., 2005, “Development of a New Crown/Shape Control Model for Cluster Mills,” Iron Steel Technol., 2(8), pp. 31–40.
Kubo, T., Aizawa, A., Hara, K., and Uchihata, O., 2006, “Development of High-Precise Shape Control Technology in 20-High Sendzimir Mills,” Rev. Metall./Cah. Inf. Tech., 103(11), pp. 507–513. [CrossRef]
Yu, H. L., Liu, X. H., and Lee, G. T., 2007, “Analysis to Rolls Deflection of Sendzimir Mill by 3D FEM,” Trans. Nonferrous Met. Soc. China, 17(3), pp. 600–605. [CrossRef]
Yu, H. L., Liu, X. H., Wang, C., and Park, H. D., 2008, “Analysis of Roll Gap Pressure in Sendzimir Mill by FEM,” J. Iron Steel Res. Int., 15(1), pp. 30–33. [CrossRef]
Yu, H. L., Liu, X. H., Lee, G. T., Li, X. W., and Park, H. D., 2008, “Numerical Analysis of Roll Deflection for Sendzimir Mill,” ASME J. Manuf. Sci. Eng., 130(1), p. 011016. [CrossRef]
Malik, A. S., and Grandhi, R. V., 2008, “A Computational Method to Predict Strip Profile in Rolling Mills,” J. Mater. Process. Technol., 206, pp. 263–274. [CrossRef]
Yu, H. L., Liu, X. H., Lee, G. T., and Park, H. D., 2008, “Numerical Analysis of Strip Edge Drop for Sendzimir Mill,” J. Mater. Process. Technol., 208, pp. 42–52. [CrossRef]
Jiang, Z. Y., Tieu, A. K., Zhang, X. M., and Sun, W. H., 2003, “Finite Element Simulation of Cold Rolling of Thin Strip,” J. Mater. Process. Technol., 140(1–3), pp. 542–547. [CrossRef]
Gunawardene, G. W. D. M., GrimbleM. J., and Thomson, A., 1981, “Static Model for Sendzimir Cold-Rolling Mill,” Met. Technol., pp. 274–283.
Hattori, S., Mizuta, A., Kitayama, M., and Yamaguchi, Y., 1984, “Effects of Roll Arrangements and Roll Sizes on Shape Controllability of Cluster Mills,” Adv. Technol. Plast., 2, pp. 1230–1235.
Matsuda, T., Matsubara, S., and Takezoe, A., 1987, “An Analysis of Roll Deformation of Sendzimir Mill,” 4th International Steel Rolling Conference, Vol. 2, pp. E.39.1–E.39.6.
Hara, K., Yamada, T., and Takagi, K., 1991, “Shape Controllability for Quarter Buckles of Strip in 20-High Sendzimir Mills,” ISIJ Int., 31(6), pp. 607–613. [CrossRef]
Yu, H. L., Lie, X. H., and Lee, G. T., 2007, “Contact Element Method With Two Relative Coordinates and Its Application to Prediction of Strip Profile of a Sendzimir Mill,” ISIJ Int., 47(7), pp. 996–1005. [CrossRef]
Shohet, K. N., and Townsend, N. A., 1968, “Roll Bending Methods of Crown Control in Four-High Plate Mills,” J. Iron Steel Inst., 11, pp. 1088–1098.
Foppl, A., 1920, Technische Mechanik, 4th ed., Vol. 5, Leipzig, Leipzig, Germany.
Kim, T. H., Lee, W. H., and Hwang, S. M., 2003, “An Integrated FE Process Model for the Prediction of Strip Profile in Flat Rolling,” ISIJ Int., 43(12), pp. 1947–1956. [CrossRef]
Tozawa, Y., 1970, “Analysis to Obtain the Pressure Distributions From the Contuour of Deformed Roll,” J. Jpn. Soc. Technol. Plast., 11(1080), pp. 29–37.
Roark, R. J., 1938, Formulas for Stress and Strain, McGraw-Hill, New York.
Yun, K. H., Shin, T. J., and Hwang, S. M., 2007, “A Finite Element-based On-line Model for the Prediction of Deformed Roll Profile in Flat Rolling,” ISIJ Int., 47(9), pp.1300–1308. [CrossRef]

Figures

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Fig. 5

Deflection of the work roll, predicted from the slit beam model and from FEM. The prediction errors of the slit beam model at the end of the roll barrel are, 12.5% for type 1, 11.5% for type 2, and 11.5% for type 3.

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Fig. 4

Meshes used for FE simulation. The meshes were selected after performing a series of convergence tests, in order to remove the mesh dependency of the solution.

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Fig. 3

The force profile acting at the work roll-strip interface. type 1 = an edge wave type, type 2 = flat type, and type 3 = center buckle type.

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Fig. 2

The roll geometry used for the prediction of the deformed roll profile

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Fig. 1

A sketch describing a 20-High Sendzimir Mill

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Fig. 13

Distribution of Δuy(θ,x) along the circumferential direction. The force profile is Ps(x), acting at the bottom of the roll, 0 < θ < ϕ, where ϕ is the bite angle.

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Fig. 6

Roll flattening at the work roll-strip interface, predicted from Tozawa's model and from FEM.

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Fig. 7

Two kinds of forces acting on a roll. Pr(x) is generated by roll-to-roll contact, and Ps(x) is generated by roll-to-strip contact.

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Fig. 8

Decomposition of Ps(x)

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Fig. 9

Deformed roll profile y(x) at the bottom of a roll due to force profile Pr(x) or Ps(x) acting at the bottom of the roll. Note that in Fig. 11, y(x) represents Δuy(θ = 0,x).

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Fig. 10

The cross sectional view of the deformed roll. The force profile is Pr(x), acting at the bottom (θ = 0) of the roll.

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Fig. 11

Distribution of Δuy(θ,x) along the circumferential direction. The force profile is Pr(x), acting at the bottom (θ = 0) of the roll, as shown in Fig. 9. D = 88 mm, L/2 = 1000 mm, x = 800 mm

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Fig. 12

Distribution of Δuz(θ,x) along the circumferential direction. The force profile is Pr(x), acting at the bottom (θ = 0) of the roll, as shown in Fig. 9. D = 88 mm,L/2 = 1000 mm,x = 800 mm

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Fig. 14

Distribution of Δuz(θ,x) along the circumferential direction. The force profile is Ps(x), acting at the bottom of the roll, 0< θ < ϕ, where ϕ is the bite angle.

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Fig. 15

Roll numbers, interface numbers, and the definition of angles used in the calculation

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Fig. 22

Force profile acting at the interface between the work roll (R1)—1st intermediate roll (R2), predicted from the model and from FEM.

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Fig. 23

Radial displacement of the work roll (R1), at the cross-section 900 mm apart from the center of the roll, predictions from the model and from FE simulation. The angle is measured counterclockwise from the bottom of the roll.

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Fig. 24

Deformed roll profile at the bottom of the work roll, Predictions from the present model and FE simulation. Roll barrel length = 2000 mm, strip width = 1800 mm, roll force = 2.0 kN/mm, uniformly distributed.

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Fig. 20

Radial displacement of the 1st intermediate roll (R2), at the cross-section 900 mm apart from the center of the roll, predictions from the model and from FE simulation. The angle is measured counterclockwise from the bottom of the roll.

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Fig. 21

Force profile acting at the interface between 1st intermediate roll (R2)—2nd intermediate roll (R5), predicted from the model and from FEM

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Fig. 16

The mesh used for FE simulation of the elastic deformation of the rolls in a 20-high Sendzimir mill

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Fig. 17

Radial displacement of the 2nd intermediate roll (R4), at the cross-section 900 mm apart from the center of the roll, predictions from the model and from FE simulation. The angle is measured counterclockwise from the bottom of the roll.

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Fig. 18

Force profile acting at the interface between 2nd intermediate roll (R4)—backup roll (R7), predicted from the model and from FEM

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Fig. 19

Force profile acting at the interface between 1st intermediate roll (R2)—2nd intermediate roll (R4), predicted from the model and from FEM.

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