Theory-Intelligent Dynamic Matrix Model of Flatness Control for Cold Rolled Strips

Liu, Hong‐Min; Shan, Xiu-ying; Cui, Jia

doi:10.1016/s1006-706x(13)60133-8

Cited by 13 publications

(13 citation statements)

References 4 publications

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“…With the development of cold rolling technology and shape theories, some types of comple waves were not to be done by some single regulation but the coordinated regulation. In the practical rolling process, different control strategies were needed to be done according to the characteristics of different control methods for achieving the best strip shape control, as shown in Figure b.…”

Section: Process Analysis Of Strip Shape Controlmentioning

confidence: 99%

“…The shape actually shows the lateral distribution (along the strip width direction) of strip's tensile stress deviation, which should satisfy the constraints of self‐equilibrium (namely the integral sum should be zero), so the strip shape curve expressed by the Legendre polynomial representation is closer to the actual shape state. Then the Equation can be further expressed as follows:

Δ σ (y) = Δ {true \overset{⌣}{σ}}_{k} - Δ {true \overset{⌢}{σ}}_{k} \approx a_{1} p_{1} (y) + a_{2} p_{2} (y) + a_{3} p_{3} (y) + a_{4} p_{4} (y) = P (y)

where p 1 ( y ), p 2 ( y ), p 3 ( y ), p 4 ( y ) are linear, two‐, three‐, and four‐times Legendre orthogonal polynomials, respectively, also known as the shape base pattern polynomial …”

Section: Target Shape Curve Based On Legendre Polynomialmentioning

confidence: 99%

“…In production of the cold rolling mill, the common strip shape adjustment method mainly includes the roll tilting, the roll bending and the intermediate roll shifting. In order to reinforce the regulation capacity of rib waves, it is important to add some key control method, such as the non‐asymmetric roll bending and the subsection cooling system . There, the bending forces of the work roll on the operation side and the driving side are set as F wo and F wd , respectively, so ( F wd − F wo )/2 is defined as the non‐asymmetric adjustment value of the roll bending, ( F wd + F wo )/2 as the symmetric adjustment value of the roll bending.…”

Section: The Mechanism‐intelligence Cooperative Control Modelmentioning

confidence: 99%

“…In cold rolling process, there are many high‐nonlinear online factors such as the dynamic change of strip parameters and the fluctuation of rolling parameters to influence the strip shape control, so it is necessary to use the intelligent algorithm with the robust self‐adaptive and self‐learning function to supplement and improve the precision of the strip shape control model . In Figure , G is used to represent a vector

G = [g_{1}, g_{2}, \dots, g_{l}]

composed by the input parameters, where l is the number of variables, and then the target shape curve characteristic values and working parameters are collected consistently from the standard curve database.…”

Section: The Mechanism‐intelligence Cooperative Control Modelmentioning

confidence: 99%

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Intelligent Shape Regulation Cooperative Model of Cold Rolling Strip and Its Application

Yang

Wang

et al. 2017

steel research int.

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A new strip shape control model is established to achieve the synchronizing control of complex shape defects, which can not only takes advantage of the mechanism model's strong analysis ability, but also combines with the fast online calculation function of intelligent model to reduce the poor efficiency regulation. Firstly, the dynamic target strip shape is expressed with the Legendre polynomial contained various components to describe all kinds of online shape targets, so it is easier to compare the shape control effect. Secondly, with the dynamic influence matrix and the efficiency function, some different control methods can be tightly combined in one regulation cycle to carry out the synchronous parallel control and the serial relay regulation, respectively. At the same time, by the DE‐ELM method, the intelligent shape control model can play an important role to improve the regulation efficiency of the online strip shape. On the other hand, the collaboration regulation model can make full use of all the effectiveness of each control methods according to their respective characteristics, so that the high precision of the strip shape control is able to be obtained.

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Section: Process Analysis Of Strip Shape Controlmentioning

confidence: 99%

Δ σ (y) = Δ {true \overset{⌣}{σ}}_{k} - Δ {true \overset{⌢}{σ}}_{k} \approx a_{1} p_{1} (y) + a_{2} p_{2} (y) + a_{3} p_{3} (y) + a_{4} p_{4} (y) = P (y)

where p 1 ( y ), p 2 ( y ), p 3 ( y ), p 4 ( y ) are linear, two‐, three‐, and four‐times Legendre orthogonal polynomials, respectively, also known as the shape base pattern polynomial …”

Section: Target Shape Curve Based On Legendre Polynomialmentioning

confidence: 99%

Section: The Mechanism‐intelligence Cooperative Control Modelmentioning

confidence: 99%

G = [g_{1}, g_{2}, \dots, g_{l}]

Section: The Mechanism‐intelligence Cooperative Control Modelmentioning

confidence: 99%

See 2 more Smart Citations

Intelligent Shape Regulation Cooperative Model of Cold Rolling Strip and Its Application

Yang

Wang

et al. 2017

steel research int.

View full text Add to dashboard Cite

show abstract

“…(17) and (19), one can see that the factors affecting the bending force are the material property (hardenability value n, yield strength σ s , strength factor k, anisotropy coefficient R), physical dimension of the mold and sheet ( punch profile radius r p , die profile radius r d , clearance c, material thickness t, plate width w), bending stroke h, friction coefficient μ. 12 The relationship between bending force P and bending stroke h of the sheet U-free bending is shown in Fig. 7a.…”

Section: Experimental Verificationmentioning

confidence: 99%

Analytical description of intelligent controlled U-free bending process in wide plate

Zhao

2015

Materials Research Innovations

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Based on the flexure theory of plate, and the assumption of plane deformation, an analytic model of U-free bending theory is proposed, which considered the hardening, anisotropy and elastic deformation of the material. Using this model, the change rules of bending force with bending stroke and the formula of target angularity are obtained, and the various factors affecting bending force and rebound are analysed. Furthermore, the results of theoretical calculations, experiments and simulations are compared, which provide the theoretical basis for identifying the parameters of the intelligent controlled free U-bending in wide plate, as well as determine variables of the input and output layer of the predicted model.

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Predicting flatness of strip tandem cold rolling using a general regression neural network optimized by differential evolution algorithm

Zhao

Qie

et al. 2023

Int J Adv Manuf Technol

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Theory-Intelligent Dynamic Matrix Model of Flatness Control for Cold Rolled Strips

Cited by 13 publications

References 4 publications

Intelligent Shape Regulation Cooperative Model of Cold Rolling Strip and Its Application

Intelligent Shape Regulation Cooperative Model of Cold Rolling Strip and Its Application

Analytical description of intelligent controlled U-free bending process in wide plate

Predicting flatness of strip tandem cold rolling using a general regression neural network optimized by differential evolution algorithm

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