Application of computerized slip-line-field analysis for the calculation of the lever-arm coefficient in hot-rolling mills

Klarin, Kaj; Mouton, Jean-Pierre; Lundberg, Sven‐Erik

doi:10.1016/0924-0136(93)90056-c

Cited by 12 publications

(9 citation statements)

References 12 publications

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“…This paper adopts the model form. Using Klarin et al [18] hot rolling Al strip arm factor data, the final regression model of the arm factor of the hot rolling Al strip is:…”

Section: Resultsmentioning

confidence: 99%

Theoretical Model and Experimental Study of Dynamic Hot Rolling

Yan-bo

Peng

2021

Metals

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At present, the commonly used hot rolling model is only applicable to the static rolling process. However, to study the dynamic rolling process, a dynamic rolling model with roll vertical movement velocity parameters is required. In this study, the influence of the vertical movement velocity of the rolls on the rolling process is considered, and a dynamic rolling process model is proposed when the roll gap is reduced during the hot rolling dynamic rolling process. Mathematically, the model is based on the upper limit method. The model considers the influence of the dynamic rolling process on the length of the deformation zone, establishes a dynamic velocity field model and an average deformation rate model, and then solves the total power of the rolling process. Finally, the dynamic rolling force equation is given. Compared with the experimental results, the dynamic rolling model in this paper has high accuracy with an average error of 4%. In addition, the influence of roll vertical velocity on rolling parameters is discussed, which provides a basis for the study of the dynamic rolling process.

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“…This paper adopts the model form. Using Klarin et al [18] hot rolling Al strip arm factor data, the final regression model of the arm factor of the hot rolling Al strip is:…”

Section: Resultsmentioning

confidence: 99%

Theoretical Model and Experimental Study of Dynamic Hot Rolling

Yan-bo

Peng

2021

Metals

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“…(19), (20), and (22), at the exit of deformation zone, w x ′ = 0, v yI = v zI = v yII = v zII = v yIII = v yIII = 0, there is no shear power at the exit section but at the entry section. Using mean value theorem of integral:…”

Section: Shear Powermentioning

confidence: 99%

“…For hot strip rolling, the arm factor χ can be 0.3∼0.6 [20], and in this paper, χ is selected as 0.5 under these equipment and process parameters.…”

Section: Total 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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“…However it will never disappear, and the extension of the dead zone will be a function of the pass reduction and roll radius. On the other hand, no other slip line field solutions have been possible to design for the three-roll technology, not even by means of the computer program BEAVER [ 45], in spite of the fact that problems with mixed boundary conditions, common for slip line fields for rolling, have been solved by means of BEAVER.…”

Section: (I)mentioning

confidence: 99%

Finite Element Modelling and Laboratory Simulation of High Speed Wire Rod Rolling in 3-Roll Stands

Överstam

Lundberg

Jarl

2003

steel research international

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Modern wire rod rolling is characterized by high finish rolling speed and requirements on close tolerances and well defined mechanical properties of the rolled product. In some senses the technological development has run in advance of the scientific knowledge of the phenomena involved in the process. Thus at present no laboratory mill is in operation for rolling speeds above 40 m/s. The modern technologies on thermomechanical rolling and sizing give certain phenomena difficult to handle for the mills, and especially finish rolling at low reductions and temperatures performed in three‐roll units sometimes give surprises on grain size distribution and allied properties of the wire rod. Traditional plastic analysis has proven not to be sufficient to analyse the processes involved in high speed rolling of close tolerance wire rod with well‐defined properties. Simulations by means of the Finite Element Method on the other hand have proven to be a powerful tool for this kind of analysis, even if the initial difficulties in creating a suitable model require certain care. Also the calculation capacity must be sufficient for making relevant three‐dimensional thermomechanically coupled studies. The high speed rolling of wire rod can be simulated under full‐scale conditions, and with correct boundary condition in the high‐speed laboratory wire rod mill at Örebro University. By utilizing both conventional two‐high stands and three‐roll units it has been possible to design a laboratory rolling mill for any rolling condition that can occur in wire rod mills. Rolling speeds up to 80 m/s can be combined with thermomechanical rolling in any interesting temperature range, and with total flexibility of reductions. Further, fundamental studies of high‐speed deformations can be performed in full‐scale and with correct frictional conditions and geometries. Thanks to the flexibility in layout and combinations with other equipment in the laboratory also other processes can be simulated.

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Application of computerized slip-line-field analysis for the calculation of the lever-arm coefficient in hot-rolling mills

Cited by 12 publications

References 12 publications

Theoretical Model and Experimental Study of Dynamic Hot Rolling

Theoretical Model and Experimental Study of Dynamic Hot Rolling

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

Finite Element Modelling and Laboratory Simulation of High Speed Wire Rod Rolling in 3-Roll Stands

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