A novel analytical approach to predict rolling force in hot strip finish rolling based on cosine velocity field and equal area criterion

Zhang, Dianhua; Liu, Yuanming; Sun, Jie; Zhao, Dewen

doi:10.1007/s00170-015-7692-z

Cited by 21 publications

(18 citation statements)

References 15 publications

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“…  was researched in hot rolling process [19], and =0.5  is selected in this paper under equipment and process parameters.…”

Section: Shear Powermentioning

confidence: 99%

The Optimization Solution of the Vertical Rolling Force by Using Unified Yield Criterion

Zhang

Zhao

et al. 2021

Preprint

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Vertical rolling is an important technique to control the width of continuous casting slab in hot rolling field. Accurate prediction of vertical rolling force is a core point to maintain rolling mill equipment. Due to the limitation of the algorithm, the prediction accuracy of most vertical rolling force models based on the energy method can only reach more than 10%. Therefore, it is challenging to optimize the rolling force model to improve the prediction accuracy. This paper presents an innovative approach for optimizing the calculation of vertical rolling force with a unified yield criterion. Firstly, the maximal width of dog bone region is determined by the slip-line method and described the dog bone shape via sine function model. Furthermore, proposed velocity and corresponding strain rate fields satisfy kinematically admissible condition is used to calculate the total power. Finally, the analytical solution of the rolling force and dog bone shape model is obtained by repeatedly optimizing the weighted coefficient b of intermediate principal shear stress on the yield criterion. And the effectiveness of the proposed mechanical model is verified by measured data in strip hot rolling field and other models’ results. The results shows that the prediction accuracy of vertical rolling force model can be improved by optimizing the value of b. Then, the impacts of reduction rate, initial thickness and friction factor on dog-bone shape size and vertical rolling force are discussed.

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“…  was researched in hot rolling process [19], and =0.5  is selected in this paper under equipment and process parameters.…”

Section: Shear Powermentioning

confidence: 99%

The Optimization Solution of the Vertical Rolling Force by Using Unified Yield Criterion

Zhang

Zhao

et al. 2021

Preprint

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“…Although the two solutions are all obtained by an upper-bound method, the present solution is more reasonable. Figure 6 illustrates that the internal plastic deformation power and shear power are the main portion of total power, and friction power is very small, which is different from horizontal rolling (the plastic deformation power and friction power are the main portion) [23,24]. The reason is that the length of contact arc l is very small in the vertical rolling with small reduction (3.9, 1.9, and 1.1 %).…”

Section: Rolling Force and Powermentioning

confidence: 99%

The calculation of vertical rolling force by using angular bisector yield criterion and Pavlov principle

Cao

Liu

Luan

et al. 2016

Int J Adv Manuf Technol

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The automatic width control of the strip that is used in vertical rolling is a key issue in the hot strip rolling process. It is the first time that the internal deformation power and the friction power are obtained by using angular bisector yield criterion and Pavlov projection principle in the vertical rolling. At the same time, the shear power is determined by use of the integral mean value theorem. Then the vertical rolling force and shape parameters are obtained by minimizing the total power functional. The relative error of rolling forces is less than 8.29 % compared with those measured on-line in a hot strip rolling plant. Moreover, the formula forms of the three powers mentioned above are greatly simplified and improved.

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“…It is found that the prediction accuracy of the model is higher than that of the exist online control model. Zhang et al [26] established a rolling model by using the equal area yield criterion and verified the model with measured data. e results show that the model has good prediction accuracy and can be used to predict the rolling force and rolling torque of hot strip rolling.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Rolling Force for Extra-Thick Plate with CA Criterion

Zhang

Deng

2020

Mathematical Problems in Engineering

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In order to solve the nonlinear integral difficulty of the Mises yield criterion, a linear yield criterion, called the collaborative approximation (CA) yield criterion, is proposed by the collaborative control method. According to the approximation method, the mathematical expression of the CA yield criterion is derived as a linear function of the three principal stresses. The theoretical results based on the yield criterion in the form of the Lode parameter are verified with the classical test data, and a good agreement is found. Meanwhile, for the purpose of proving the effectiveness of the yield criterion, its specific plastic power is derived and applied to establish the rolling force model of an extra-thick plate. In the modeling, the internal power of plastic deformation is obtained by using the derived specific plastic power, while the shear power dissipation and the frictional power dissipation are obtained by using the methods of strain vector inner product and average velocity integration. Then, the analytical solution of the rolling force is obtained and then extended to the one accounting for the temperature rise. The maximum errors of the predicted rolling torque and rolling force without considering the temperature rise are 12.72% and 11.78%, respectively, while those considering the temperature rise decrease to 3.54% and 5.23%, respectively. Moreover, the influence of relative reduction, friction factor, surface temperature, and the temperature rise of the workpiece on the theoretical results is discussed.

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A novel analytical approach to predict rolling force in hot strip finish rolling based on cosine velocity field and equal area criterion

Cited by 21 publications

References 15 publications

The Optimization Solution of the Vertical Rolling Force by Using Unified Yield Criterion

The Optimization Solution of the Vertical Rolling Force by Using Unified Yield Criterion

The calculation of vertical rolling force by using angular bisector yield criterion and Pavlov principle

Analysis of Rolling Force for Extra-Thick Plate with CA Criterion

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