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Study on an analytical model of asymmetrical and symmetrical tailor rolled blank rolling

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Abstract

A new model suitable for both asymmetrical and symmetrical tailor rolled blank (TRB) rolling is proposed by the slab method. In the transition zone of TRB, the work roll moves up or down during the rolling process to carry out variable gauge rolling (VGR). The difference of rolling pressure between VGR and conventional rolling is analyzed. The results reveal that the rolling pressure, rolling force, and rolling torques in downward rolling are larger than those in conventional rolling, while in upward rolling phase, they are less than in the conventional rolling. The variance between VGR and conventional rolling is related to the transition zone shape factor and roll radius. A larger transition zone shape factor results in a more significant difference between VGR and conventional rolling. The effect of roll speed ratio on mechanical parameters during the VGR is nearly identical to that observed in conventional rolling. With the increase of roll speed ratio, the thickness ratio of TRB increases. The VGR force calculated using proposed model agrees well with the experimental values, with a maximum error of 9.7%.

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Abbreviations

l :

Length of the completed part in a cycle unit during the VGR process

l h, l t, l b :

Lengths of thick zone, transition zone, and thin zone in the TRB, respectively

h d :

Thickness difference between the thick zone and thin zone

h 1, h 2 :

Thicknesses of thick zone and thin zone in the TRB, respectively

θ :

Angle between transition zone and horizontal line

P :

Rolling force per unit width in conventional rolling

P′(l), P″(l) :

Rolling force per unit width in downward and the upward rolling, respectively, when the completed rolling length in a cycle unit during VGR process is l

p 1, p 2 :

Rolling pressures of the lower and upper rolls, respectively

p x, σ x :

Vertical and horizontal stresses in the deformation zone, respectively

σ f, σ b :

Front and back tension, respectively

f 1, f 2 :

Friction coefficients of the lower and upper rolls, respectively

i :

Roll speed ratio

K :

Plane deformation resistance

h x(l):

Variable strip thickness in the deformation zone, when the completed rolling length in a cycle Unit during VGR process is l

h' x(l), h" x(l):

Variable strip thickness in the deformation zone in downward and upward rolling, respectively, when the completed rolling length in a cycle unit during VGR process is l

H, h :

Thicknesses at the entrance and exit of deformation zone in conventional rolling, respectively

h(l):

Thickness at the nominal exit of deformation zone in transition zone, when the completed rolling length in a cycle unit during VGR process is l

h'(l), h"(l):

Thicknesses at the actual exit of deformation zone in the downward rolling and upward rolling, when the completed rolling length in a cycle unit during VGR process is l, respectively

Δh :

Reduction in the conventional rolling

Δh(l):

Nominal reduction in the transition zone, when the completed rolling length in a cycle unit during VGR process is l

Δh"(l):

Actual reduction in the upward rolling, when the completed rolling length in a cycle unit during VGR process is l

α, α', α" :

Contact angles in the conventional rolling, downward rolling, and upward rolling, respectively

L(l), L(l)', L(l)" :

Contact lengths of deformation zone in conventional rolling, downward rolling, and upward rolling, respectively

T 1, T 2 :

Rolling torques of lower and upper rolls, respectively

R :

Radius of the work roll

V 1, V 2 :

Peripheral speeds of lower and upper rolls, respectively

v y :

Speed of upper roll, when the completed rolling length in a cycle unit during VGR process is l

v x :

Speed of rolled piece at the nominal exit of the deformation zone, when the completed rolling length in a cycle unit during the VGR process is l

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Ji Wang: conceptualization, methodology, writing—original draft, formal analysis, investigation, validation, and visualization. Xianlei Hu: resources, writing—review and editing, and supervision. Xue Feng: investigation and validation.

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Correspondence to Ji Wang or Xianlei Hu.

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Wang, J., Hu, X. & Feng, X. Study on an analytical model of asymmetrical and symmetrical tailor rolled blank rolling. Int J Adv Manuf Technol (2024). https://doi.org/10.1007/s00170-024-13579-8

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