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Analysis of asymmetrical rolling of strip considering two deformation region types

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Abstract

Analytical models of two deformation region types considering the percentages of three regions in the plastic deformation zone are proposed for analyzing asymmetrical rolling of strip and used to calculate the critical speed ratio, three region percentages, roll force, and roll torque. The effective range of speed ratio on thickness reduction increases with increasing critical speed ratio. When the deformation region type is backward-slip zone + cross-shear zone + forward-slip zone (B+C+F), with increasing speed ratio, the thickness reduction in asymmetrical strip rolling increases evidently, but remains unchanged when the critical speed ratio is exceeded, where the deformation region type is backward-slip zone + cross-shear zone (B+C). It is achievable to increase thickness reduction by increasing the roll force and front tension, which can not only increase the reduction rate, but also increase the critical speed ratio. The effect of asymmetrical rolling on thickness reduction is enhanced with decreasing of the roll force and front and back tension because of the increasing cross-shear zone percentage.

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Abbreviations

B+C+F:

backward-slip zone + cross-shear zone + forward-slip zone

B+C:

backward-slip zone + cross-shear zone

C+F:

cross-shear zone + forward-slip zone

OB:

only backward-slip zone

OC:

only cross-shear zone

OF:

only forward-slip zone

H, h :

thicknesses at the inlet and the outlet of the roll gap, respectively

hb, hf :

thicknesses at the lower and the upper neutral point, respectively

h x :

variable strip thickness at the roll gap

∆h :

reduction of thickness

vf, vs :

peripheral speeds of the upper and the lower roll, respectively

vH, vh :

linear speeds of strip at the inlet and the outlet, respectively

l :

length of contact

lb, lc, lf :

lengths of the backward-slip zone, the cross-shear zone and the forward-slip zone, respectively

Qb, Qc, Qf :

percentages of the backward-slip zone, the cross-shear zone and the forward-slip zone, respectively

i :

speed ratio

i c :

critical speed ratio

αf, αs :

neutral angles of the upper and the lower roll, respectively

α l :

contact angle of the roll gap

α :

variable angle of contact at the roll gap

σx, px :

horizontal and vertical stresses at the roll gap, respectively

σb, σf :

back and front tensions, respectively

τf1, τf2 :

surface shear stresses of the upper and the lower roll, respectively

K :

plane deformation resistance

f1, f2 :

friction coefficients of the upper and the lower roll, respectively

pxb, pxc, pxf :

rolling pressures per unit width in the backward-slip zone, the cross-shear zone and the forward-slip zone, respectively

P :

roll force per unit width

R :

radius of the work roll

D :

diameter of the work roll

x :

horizontal distance from the exit point in the roll gap

C1, C2, C3 :

constants

Shf, SHf :

forward-slip and backward-slip coefficients of the upper roll, respectively

Shs, SHs :

forward-slip and backward-slip coefficients of the lower roll, respectively

Tf, Ts :

roll torque of the upper and lower roll per unit width, respectively

T :

total roll torque per unit width

ε :

reduction ratio

η :

contribution ratio of reduction

λ :

sensitive coefficient of reduction

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Acknowledgements

This work was supported by Key Laboratory of Data Analytics and Optimization for Smart Industry (Northeastern University), Ministry of Education, the 111 Project (B16009).

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Authors and Affiliations

  1. State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang, 110819, Liaoning, People’s Republic of China

    Xiangkun Sun, Xianghua Liu, Ji Wang & Junlong Qi

  2. Key Laboratory of Lightweight Structural Materials, Northeastern University, Shenyang, 110819, Liaoning, People’s Republic of China

    Xianghua Liu

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  1. Xiangkun Sun
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  2. Xianghua Liu
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Correspondence to Xianghua Liu.

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Sun, X., Liu, X., Wang, J. et al. Analysis of asymmetrical rolling of strip considering two deformation region types. Int J Adv Manuf Technol 110, 2767–2785 (2020). https://doi.org/10.1007/s00170-020-06022-1

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