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Theoretical and numerical research on effect of tension mechanisms in strip flatness electromagnetic control rolling mills

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Abstract

To achieve stable rolling, the influence of a tension mechanism of a large diameter ratio roll system on the rolling process of a strip flatness electromagnetic control rolling mill is studied. Through the analysis of the rolling deformation zone, the deformation zone composition form of a large diameter ratio roll system and a calculation formula of neutral angle under tension are proposed. To analyze the effect of front and post tensions on the rolling characteristic and the strip flatness control characteristic, a three-dimensional rolling finite element (FE) model of a large diameter ratio roll system with the function of roll profile electromagnetic control is established by FE software and verified by a strip flatness electromagnetic control rolling mill. Based on the model, the strip thickness characteristic, metal transverse flow, strip flatness state, and adjustment range of the loaded roll gap are analyzed for different front and post tensions setting values. The results show that changing the front or post tension setting values can improve the single-pass reduction rate of a large diameter ratio roll system and have little effect on the flatness control ability of the strip flatness electromagnetic control rolling mill.

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Abbreviations

a 0, a 2, a 4 :

Polynomial coefficients of loaded roll gap shape curve

B :

Strip width value (mm)

C x :

Strip crown

C w :

Electromagnetic control roll crown (μm)

C w2 :

Quadratic crown

C w4 :

Quartic crown

D w(x):

Worn roll profile

D v(x):

Variation of roll profile

E d :

Edge drop value

F :

Bending force (kN)

F r :

Rolling force (kN)

f :

Front slip value

g(x):

Loaded roll gap shape curve

H :

Inlet strip thickness (mm)

h :

Outlet strip thickness (mm)

Δh :

Single-pass reduction (mm)

Δh 1 :

Equivalent reduction of upper working roll (mm)

Δh 2 :

Equivalent reduction of lower working roll (mm)

h c :

Strip thickness of middle point of strip

h D :

Strip edge thickness

h x :

Strip thickness of side marking point

h xd :

Strip thickness of marking point of transmission side

h xw :

Strip thickness of marking point of operating side

h γ 1 :

Strip thickness of neutral surface of back slip zone (mm)

h γ 2 :

Strip thickness of neutral surface of front slip zone (mm)

l :

Length of rolling deformation zone (mm)

p :

Contact stress on surface of contact zone (MPa)

p(x):

Distribution function of rolling force (MPa)

R 1 :

Roll radius of upper working roll (mm)

R 2 :

Roll radius of lower working roll (mm)

T F :

Front tension setting value (MPa)

T P :

Post tension setting value (MPa)

V 0 :

Linear velocity of lower working roll (m s−1)

V 1 :

Exit velocity of rolled piece (m s−1)

V 2 :

Entrance velocity of rolled piece (m s−1)

V 3 :

Linear velocity of upper working roll (m s−1)

V γ 1 :

Metal flow velocity on neutral surface of back slip zone (m s−1)

V γ 2 :

Metal flow velocity on neutral surface of front slip zone (m s−1)

x :

Strip width coordinate, [− B/2, B/2]

ΣX :

Resultant force in horizontal direction

ΣX F :

Sum of horizontal forces in front slip zone

ΣX C :

Sum of horizontal forces in cross shear zone

ΣX B :

Sum of horizontal forces in back slip zone

ΣY :

Resultant force in vertical direction

ΣY F :

Sum of vertical forces in front slip zone

ΣY C :

Sum of vertical forces in cross shear zone

ΣY B :

Sum of vertical forces in back slip zone

α 1 :

Bite angle of upper working roll (°)

α 2 :

Bite angle of lower working roll (°)

β :

Back slip value

γ 1 :

Neutral angle of upper working roll (°)

γ 2 :

Neutral angle of lower working roll (°)

τ :

Shear stress on surface of contact zone (MPa)

μ :

Friction coefficient

σ 1 :

Front tension preset value

σ 2 :

Post tension preset value

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Acknowledgements

This project is supported by the Natural Science Foundation of Hebei Province of China (Grant No. E2021203129).

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Authors and Affiliations

  1. National Engineering Research Center of Advanced Rolling and Intelligent Manufacturing, University of Science and Technology Beijing, Beijing, 100083, China

    Ting-song Yang, Tie-heng Yuan, Wen-quan Sun & An-rui He

  2. Institute of Aeronautical Power Machinery, AECC Harbin Dongan Engine Co., Ltd., Harbin, 150000, Heilongjiang, China

    Chun-tao Qu

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  1. Ting-song Yang
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  2. Tie-heng Yuan
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Correspondence to Wen-quan Sun.

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Yang, Ts., Yuan, Th., Sun, Wq. et al. Theoretical and numerical research on effect of tension mechanisms in strip flatness electromagnetic control rolling mills. J. Iron Steel Res. Int. (2024). https://doi.org/10.1007/s42243-024-01195-5

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  • DOI: https://doi.org/10.1007/s42243-024-01195-5

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