EP1240955A1 - Procédé et dispositif pour calculer le profil de l'emprise entre les cylindres - Google Patents

Procédé et dispositif pour calculer le profil de l'emprise entre les cylindres Download PDF

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Publication number
EP1240955A1
EP1240955A1 EP02001665A EP02001665A EP1240955A1 EP 1240955 A1 EP1240955 A1 EP 1240955A1 EP 02001665 A EP02001665 A EP 02001665A EP 02001665 A EP02001665 A EP 02001665A EP 1240955 A1 EP1240955 A1 EP 1240955A1
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EP
European Patent Office
Prior art keywords
roll
solution
calculated
calculation
online
Prior art date
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Application number
EP02001665A
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German (de)
English (en)
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EP1240955B1 (fr
Inventor
Markus Widder
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Primetals Technologies Austria GmbH
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Voest Alpine Industrienlagenbau GmbH
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Classifications

    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
    • B21B37/28—Control of flatness or profile during rolling of strip, sheets or plates
    • B21B37/42—Control of flatness or profile during rolling of strip, sheets or plates using a combination of roll bending and axial shifting of the rolls
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B13/00—Metal-rolling stands, i.e. an assembly composed of a stand frame, rolls, and accessories
    • B21B13/02—Metal-rolling stands, i.e. an assembly composed of a stand frame, rolls, and accessories with axes of rolls arranged horizontally
    • B21B2013/025—Quarto, four-high stands
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B2261/00—Product parameters
    • B21B2261/02—Transverse dimensions
    • B21B2261/04—Thickness, gauge
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B2265/00—Forming parameters
    • B21B2265/12—Rolling load or rolling pressure; roll force
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B2267/00—Roll parameters
    • B21B2267/24—Roll wear
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
    • B21B37/28—Control of flatness or profile during rolling of strip, sheets or plates
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B38/00—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product
    • B21B38/10—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product for measuring roll-gap, e.g. pass indicators
    • B21B38/105—Calibrating or presetting roll-gap

Definitions

  • the present invention relates to a method for calculating the roll gap contour in a roll stand consisting of at least two work rolls, and an associated one Contraption.
  • the aim of the present invention is therefore to provide a method and an apparatus for Calculation of the roll gap contour to indicate that gives very accurate results and can still run fast enough for real-time applications.
  • the object is achieved according to the invention in that the roll gap contour is put together online from the results of a previously performed preliminary calculation and an online performed online calculation.
  • This procedure makes it possible to combine the advantages of a preliminary calculation, the high accuracy, and an online calculation, the high speed, in one process, which makes it possible to calculate the roll gap contour very quickly and with high accuracy.
  • This method is therefore easy to integrate into a real-time application, for example control of a rolling mill.
  • the high accuracy of the process can increase the quality of the rolled product, since predetermined rolled profiles can be adhered to very precisely.
  • the solution of the preliminary calculation can be calculated as the sum of a solution of a finite element calculation and a solution of a semi-analytical calculation.
  • the solution of the semi-analytical calculation can easily be found if the solution is calculated for an infinitely long cylinder.
  • the previously determined solutions are used particularly advantageously to do this online Contact problem between work roll and rolling material and possibly that To calculate the contact problem between other rollers in contact.
  • the solution is that is, the results of a preliminary calculation carried out during the roll change resorted. These results only need to come from one Memory can be read out, which speeds up the calculation of the roll gap contour very much and makes it applicable in real-time applications.
  • a further transformation results from a suitable transformation the two-dimensional contact problem to a one-dimensional contact problem, whereby with the solution from the pre-calculation, the roll gap contour online using the one-dimensional contact problem between contacting rollers and / or between the work roll and the rolling material is calculated and the one-dimensional solution in Connection to the two-dimensional solution is transformed back.
  • the nonlinear contact problem can be solved very advantageously iteratively by linearization become.
  • the Calibrate a roll stand the roll deformations of a number w rolls of Roll mill directly calculated from the resulting w-1 coupled contact problems become.
  • a correction to the strip exit thickness can be made at least one roll stand from the difference in roll deformation during calibration and can be calculated in real time in the conventional rolling process and the Strip exit thickness can be corrected in real time if necessary by changing manipulated variables.
  • the comparison of the calculations when calibrating and when conventional rolling process the measured scaffold suspension characteristic at the working point Getting corrected.
  • a simple Check the tolerance accuracy Because the results of the procedure are very accurate, the quality of the rolled products, through improved tolerance or by adhering to tighter tolerances, which can be further improved Consequence of course also has a positive economic impact.
  • the method according to the invention is very advantageous in a higher-level control integrated a rolling mill that the roll gap contour, and possibly the Strip exit thickness, calculated in real time, compared with a specified value and deviations of the roll gap contour or the lying outside the specified tolerance Corrected strip thickness in real time by changing manipulated variables. So you have that Possibility to precisely tailor the rolled profile from the first to the last roll stand Taxes.
  • the settings of the individual roll stands can be coordinated and the quality of the rolled product can be further improved.
  • ⁇ rr , ⁇ rz , ⁇ r ⁇ are to be replaced by ⁇ nn , ⁇ nt , ⁇ n ⁇ , where ⁇ nn , ⁇ nt , ⁇ n ⁇ are the components of the stress tensor in transformed coordinates, n denotes the normal direction with respect to of the bearing cone, t is the corresponding transverse direction.
  • Each solution L of the Lamé equation can be represented in a generally known form as a Fourier series.
  • L L FEM + L ANL is chosen. denotes the nth Fourier mode of a solution of the Lamé equation, calculated using the finite element method in the Fourier space and denotes the nth Fourier mode of a solution to the Lamé equation, calculated using semi-analytical methods for an infinitely long cylinder.
  • the entire solution L is thus constructed from a finite element solution L FEM and a semi-analytical solution L ANL .
  • the solutions L FEM of the finite element calculation can be found using the well known methods of finite elements.
  • the exemplary solution is therefore only outlined in broad outline.
  • the Lamé equation is first multiplied by a test function v and then integrated with surface O over the volume V.
  • K F ⁇ ⁇
  • the representation of F as the sum of triangles F d
  • the representation of u as the sum of suitable test functions respectively.
  • a Fourier mode leads to a linear system of equations for determining the amplitudes c i / kn .
  • the functions are represented again as Fourier integrals with respect to z. After insertion into the Lamé equation, this leads to three linearly independent sets of solutions for the semi-analytical part.
  • the solution L ANL / n of the boundary value problem for the nth Fourier mode then provides numerical integration of the solutions calculated in this way with respect to k.
  • the value for c 0 can be chosen arbitrarily.
  • a suitable mathematical transformation can be used.
  • the work roll A is in contact with the rolling material M on the underside of the bale over the strip width B and in contact with the support roll S in the top.
  • bending forces F B act on the work roll.
  • the position of the work roll A can have a displacement d A transverse to the rolling direction.
  • the position of the rolling material M can also be shifted transversely to the rolling direction, shift d M.
  • the rolling force F W acts between the rolling material M and the work roll A.
  • the support roller S is in contact with the work roller A on its underside.
  • the stator forces F S act in the bearings of the support roller S.
  • Both work roller A and backup roller S are ground (s A , s S ), both rollers are thermally stretched (t A , t S ) and their contour is changed by wear (v A , v S ).
  • These influences can be regarded as known and can either be determined directly from measurements, or in turn come from suitable model calculations.
  • the contact area K AM between work roll A and rolling material M, based on the coordinate system of work roll A, is described as follows:
  • the contact angle ⁇ k results from the maximum contact length L k with respect to z, divided by the radius of the work roll A.
  • the contact area K AS between work roll A and backup roll S, based on the coordinate system of work roll A, is described analogously as follows: ⁇ S is again the maximum contact angle that occurs, and L BA or L BS are the bale lengths of work roller A and support roller S.
  • the indices i and j therefore describe the point of application of the pressure p and the indices k and I describe the location where the deformation occurs.
  • Q AS / ij 1 for ( ⁇ , z ) ⁇ R AS / ij
  • x 0 and x 1 describe an additional vertical displacement or tilting of the work roll A.
  • the total deformation on the underside of the work roll u kl corresponds exactly to the roll gap contour sought, ie the determination of the roll gap contour is equivalent to the calculation of u kl .
  • r k is the non-deformed "distance between the work roller A and the support roller S.
  • the contact problem formulated above in the form of two inequalities is non-linear, which is why the solution is made iteratively.
  • the matrix M is formed by the components o AS / ij, kl and s AS / ij, kl of the relationships for o kl and s kl .
  • the vector b then contains all the other components of the relationships for o kl and s kl .
  • a significant reduction in computing time can be achieved by reducing the two-dimensional contact problem to a one-dimensional one, using a suitable mathematical transformation.
  • the above method can not only be used to calculate the roll gap contour during the rolling process, but also the roll deformations when calibrating the roll stand 1 can be calculated.
  • the roll deformations when calibrating the roll stand 1 can be calculated.
  • the two work rolls A are in direct contact.
  • the offline calculation is first carried out once.
  • the standardized semi-analytical solution L ANL / c 0 ⁇ 0 is calculated once (computing time about 20min;
  • the roll gap contour can be calculated at any time for each individual roll stand 1 and compared with predetermined values. If deviations are determined by influencing certain manipulated variables, such as the bending force, the roll adjustment or the work roll displacement, the control can make the necessary corrections.

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Control Of Metal Rolling (AREA)
EP20020001665 2001-03-14 2002-01-24 Procédé et dispositif pour calculer le profil de l'emprise entre les cylindres Expired - Lifetime EP1240955B1 (fr)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
AT4002001A AT410904B (de) 2001-03-14 2001-03-14 Verfahren und vorrichtung zur berechnung der walzspaltkontur
AT4002001 2001-05-17

Publications (2)

Publication Number Publication Date
EP1240955A1 true EP1240955A1 (fr) 2002-09-18
EP1240955B1 EP1240955B1 (fr) 2004-07-14

Family

ID=3673545

Family Applications (1)

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EP20020001665 Expired - Lifetime EP1240955B1 (fr) 2001-03-14 2002-01-24 Procédé et dispositif pour calculer le profil de l'emprise entre les cylindres

Country Status (3)

Country Link
EP (1) EP1240955B1 (fr)
AT (1) AT410904B (fr)
DE (1) DE50200608D1 (fr)

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP1600221A1 (fr) * 2004-05-19 2005-11-30 Voest-Alpine Industrieanlagenbau GmbH & Co. Procédé pour le calcul de la géométrie d'un produit laminé
DE102009043401A1 (de) * 2009-09-29 2011-04-07 Siemens Aktiengesellschaft Verfahren zur modellbasierten Ermittlung von Stellglied-Sollwerten für die symmetrischen und asymmetrischen Stellglieder der Walzgerüste einer Warmbreitbandstraße
WO2019101628A1 (fr) * 2017-11-27 2019-05-31 Sms Group Gmbh Cage de laminage
CN110064670A (zh) * 2019-03-28 2019-07-30 南京钢铁股份有限公司 一种快速标定夹送辊的方法
EP3536411A1 (fr) * 2018-03-09 2019-09-11 Primetals Technologies Germany GmbH Prévention des bords d'usure lors du laminage d'un produit plat à laminer
CN112559950A (zh) * 2020-11-16 2021-03-26 燕山大学 一种预报工作辊边部压靠现象的二十辊轧机辊系弹性变形轧辊单元划分方法

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE3637043A1 (de) * 1986-10-30 1988-05-05 Licentia Gmbh Verfahren zum vorausbestimmten einhalten enger dickentoleranzen beim walzen von walzgut in warmbandstrassen
DE3829441A1 (de) * 1988-07-11 1990-01-18 Escher Wyss Ag Vorrichtung zum kaltwalzen von metallbaendern und folien sowie verfahren zu deren betrieb
US5873277A (en) * 1996-05-09 1999-02-23 Siemens Aktiengesellschaft Control process for a roll stand for rolling a strip

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE3637043A1 (de) * 1986-10-30 1988-05-05 Licentia Gmbh Verfahren zum vorausbestimmten einhalten enger dickentoleranzen beim walzen von walzgut in warmbandstrassen
DE3829441A1 (de) * 1988-07-11 1990-01-18 Escher Wyss Ag Vorrichtung zum kaltwalzen von metallbaendern und folien sowie verfahren zu deren betrieb
US5873277A (en) * 1996-05-09 1999-02-23 Siemens Aktiengesellschaft Control process for a roll stand for rolling a strip

Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP1600221A1 (fr) * 2004-05-19 2005-11-30 Voest-Alpine Industrieanlagenbau GmbH & Co. Procédé pour le calcul de la géométrie d'un produit laminé
DE102009043401A1 (de) * 2009-09-29 2011-04-07 Siemens Aktiengesellschaft Verfahren zur modellbasierten Ermittlung von Stellglied-Sollwerten für die symmetrischen und asymmetrischen Stellglieder der Walzgerüste einer Warmbreitbandstraße
WO2019101628A1 (fr) * 2017-11-27 2019-05-31 Sms Group Gmbh Cage de laminage
CN111295249A (zh) * 2017-11-27 2020-06-16 Sms集团有限公司 轧机机架
US11534827B2 (en) 2017-11-27 2022-12-27 Sms Group Gmbh Roll stand
EP3536411A1 (fr) * 2018-03-09 2019-09-11 Primetals Technologies Germany GmbH Prévention des bords d'usure lors du laminage d'un produit plat à laminer
WO2019170381A1 (fr) * 2018-03-09 2019-09-12 Primetals Technologies Germany Gmbh Évitement de bords d'usure lors du laminage d'un produit à laminer plat
CN110064670A (zh) * 2019-03-28 2019-07-30 南京钢铁股份有限公司 一种快速标定夹送辊的方法
CN112559950A (zh) * 2020-11-16 2021-03-26 燕山大学 一种预报工作辊边部压靠现象的二十辊轧机辊系弹性变形轧辊单元划分方法

Also Published As

Publication number Publication date
AT410904B (de) 2003-08-25
DE50200608D1 (de) 2004-08-19
ATA4002001A (de) 2003-01-15
EP1240955B1 (fr) 2004-07-14

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