JP2018126767A - Arithmetic apparatus and arithmetic method - Google Patents

Abstract

A metal plate having various shape defects is corrected to a good plate shape. A process computer (6) is configured to control a tension applied to a metal plate (8) by a tension leveler (3) and a crowning amount of each divided portion (341 to 349) of a lower backup roll (34). The main operation part (12) which calculates is provided. The main calculation unit (12) has a degree of influence of tension, a degree of influence of the crowning amount on the target value of the elongation difference between two points arranged along the width direction of the metal plate (8), and before correction. A control value is calculated using a mathematical expression including an influence coefficient indicating the degree of influence based on the plate shape of the metal plate so that the target value indicated by the mathematical expression becomes a preset target value. [Selection] Figure 11

Description

  The present invention relates to a calculation device and a calculation method for calculating a value for controlling a tension leveler used for correcting a plate shape of a metal plate.

  With the progress of shape control technology in the rolling process, the shape defect of the metal strip after rolling has been improved, but there is a limit to the shape control in the rolling process. In many cases, the metal strip after rolling has shape defects such as ear elongation, middle elongation, quarter elongation, or composite elongation in which various elongations are combined in a complicated manner.

  Tension levelers are often used as means for correcting such shape defects and processing a metal strip into a flat plate shape. The tension leveler is a facility that repeatedly applies bending to a metal band by a plurality of work rolls arranged above and below the metal band while applying tensile stress (tension) to the metal band. Generally, in a tension leveler, a small-diameter work roll is used to impart plastic deformation in the bending process. Moreover, it is requested | required that the roll diameter of a work roll should be made small, so that the plate | board thickness of a metal strip | belt becomes thin. In the correction of a thin plate, a small-diameter work roll having a roll diameter of 30 mm or less may be used.

  Using such a tension leveler, the shape of a rolled metal strip (hereinafter sometimes referred to as a pre-correcting original plate) is corrected. Here, in order to sufficiently correct the original plate before correction corresponding to various shape defects, it is generally required to give a high elongation rate of 0.2% or more to the original plate before correction. However, in this case, the shape of the metal band is likely to deteriorate due to the bending of the small-diameter work roll.

  The tension leveler is often configured to support a work roll with an intermediate roll and a backup roll. However, even in this case, it is difficult to completely suppress the bending of the small-diameter work roll. In view of this, a split backup roll reduction adjusting device has been developed that can individually adjust the crowning amount (deviation amount) of each divided part by individually reducing each divided part in a divided backup roll having a plurality of divided parts. Yes.

  In order to correct the deflection of the small-diameter work roll and correct the original plate before correction into a good plate shape, it is required to appropriately set each crowning amount of the divided backup roll reduction adjusting device. For example, Patent Document 1 describes a method of evaluating a shape defect of a plate material on at least one of an entrance side and an exit side of a tension leveler and controlling leveler conditions such as a roll crown adjustment amount based on the obtained information. Has been.

  In the method described in Patent Document 1, the stress measurement means arranged in parallel in the width direction of the plate material is used to obtain the stress distribution in the width direction of the plate material, and the leveler condition is controlled based on the stress distribution. More specifically, the average stress in the plate thickness direction of the plate material is measured for each of a plurality of locations in the width direction of the plate material using the stress measuring means. Here, for example, a plate material in which ear waves are extremely generated has a stress distribution in which both ends are compressed and the vicinity of the central portion in the plate width direction is tensile. This stress distribution can be graphed as follows, for example. When the horizontal axis is the plate width direction, the vertical axis is the measured value of the average stress, the compressive stress is negative, and the tensile stress is positive, the stress distribution is expressed as a convex curve. On the other hand, for example, a plate material in which medium elongation occurs is represented as a downwardly convex curve. In other words, the shape (degree of stress distribution) of the plate material is represented by the unevenness of such a curve and its size.

JP 2002-282294 A (published on October 2, 2002)

  In the method described in Patent Document 1, the degree of peaks and valleys in the stress distribution of the plate material (for example, the difference between the maximum and minimum values measured by the stress measuring means) is obtained as flatness, and the leveler condition is set based on this flatness. Control and correct the shape of the plate. However, a mathematical model for control that predicts the shape after correction is not specifically described. In the shape evaluation based on the flatness, it is difficult to evaluate the shape failure of the composite elongation in which various elongations are combined in a complicated manner, and it is difficult to correct the composite elongation.

  An object of the present invention is to provide an arithmetic device capable of calculating a value for controlling a tension leveler provided with a divided backup roll so that a metal plate having various shape defects can be corrected into a good plate shape. And providing an arithmetic method.

  In order to solve the above problems, an arithmetic device according to one aspect of the present invention includes a plurality of divided backup rolls each having a plurality of divided portions arranged in the axial direction, and the deviation of the divided portions with respect to the metal plate An arithmetic device for calculating a control value for controlling a tension leveler that corrects a plate shape of the metal plate by controlling an amount, the tension applied to the metal plate by the tension leveler, and control of the deviation amount A calculation unit that calculates a value, and the calculation unit affects a target value of an elongation difference between two points arranged along the width direction of the metal plate, (i) an influence degree of the tension, (ii) The mathematical expression includes a plurality of influence coefficients each indicating the degree of influence of the shift amount, and (iii) the degree of influence based on the shape of the metal plate before being corrected by the tension leveler. The target value shown is It calculates the control value so as to preset the set target value.

  The calculation method according to an aspect of the present invention includes a plurality of divided backup rolls each having a plurality of divided portions arranged in the axial direction, and controls the deviation amount of the divided portions with respect to the metal plate. A calculation method for calculating a control value for controlling a tension leveler for correcting the plate shape of the plate, wherein the calculation method calculates a control value for the tension applied to the metal plate by the tension leveler and the deviation amount. A pre-correction shape calculation step for calculating a pre-correction shape represented by a difference in elongation between two points arranged along the width direction in the metal plate before being corrected by the tension leveler; The target value setting step of setting a set target value for the shape after correction of the metal plate, and the target value of the elongation difference between two points arranged along the width direction of the metal plate Depending on the type of the metal plate, an influence coefficient indicating (i) the influence degree of the tension, (ii) the influence degree of the shift amount, and (iii) the influence degree of the calculated pre-correction shape, respectively. An influence coefficient determination step for determining, and a control value calculation step for calculating a control value of the tension and the deviation amount based on the set target value using a formula including the determined influence coefficient; Including.

  According to one aspect of the present invention, the control value of the tension leveler can be calculated so that a metal plate having various shape defects can be corrected to a good plate shape.

It is the schematic which shows the structure of the shape correction equipment provided with the tension leveler which is controlled using the value which the arithmetic unit in one Embodiment of this invention calculates. It is a figure which shows typically the structure of each roll at the time of seeing the roller leveler with which the said tension leveler is provided from the direction through which a metal plate passes. It is a graph which shows the influence of the symmetrical component (zeta) regarding the board edge part before correction on the symmetrical component (epsilon) e regarding the board edge part after correction. It is a graph which shows the influence of the symmetrical component (zetaq) regarding the quarter part before correction on the symmetrical component (epsilon) q regarding the quarter part after correction. It is a graph which shows the influence of the tension | tensile_strength on the symmetrical component (epsilon) e regarding the board edge part after correction, and the symmetrical component (epsilon) q regarding a quarter part. It is a graph which shows the influence of the crowning amount of each division | segmentation part on the symmetrical component (epsilon) regarding the board edge part after correction | amendment, and the symmetrical component (epsilon) q regarding a quarter part, (a)-(d) is respectively 1st from a workpiece | work side. The average value Cr ₁ of the crowning amount of the dividing part and the ninth dividing part, the average value Cr ₂ of the crowning amount of the second dividing part and the eighth dividing part from the work side, the third dividing part and 7 from the work side th divided portion of the crowning amount of the average value Cr _3, and is a graph showing the effect of the average value Cr ₄ of the fourth division part and sixth division of the crowning amount from the work side. On symmetrical component εq relates symmetric element εe and quota portion relates plate end portion after straightening, it is a graph showing the effect of the crowning amount Cr ₅ of 5 th division section from the work side. It is a graph which shows the influence of the asymmetrical component ζe 'regarding the plate end before correction on the asymmetrical component εe' regarding the plate end after correction. It is a graph which shows the influence of the asymmetrical component (zetaq) regarding the quarter part before correction on the asymmetrical component (epsilon) q 'regarding the quarter part after correction. It is a graph which shows the influence of the crowning amount of each divided part on the asymmetric component εe ′ related to the plate edge after correction and the asymmetric component εq ′ related to the quarter part, and (a) to (d) are each 1 from the work side. The difference Cr ₁ ′ in the crowning amount between the 9th and 9th divisions, the difference Cr ₂ ′ in the crowning amount between the _2nd and 8th divisions from the work side, the 3rd from the work side dividing section and seventh difference Cr ₃ crowning amount between the divided portion ', and the crowning amount of the difference Cr 4 and 4 th division section and the sixth division section from the work _side' is a graph showing the effect of . It is a block diagram which shows the schematic structure of the process computer which a shape correction equipment contains. It is a flowchart which shows an example of the flow of the arithmetic processing which the said process computer performs based on the measured value of the plate shape before the correction start. It is a flowchart which shows an example of the flow of the arithmetic processing which the process computer which concerns on other embodiment of this invention performs based on the information acquired from the shape detector. In the embodiment of the present invention, when correction is performed for the entire coil length of the steel strip, the actual values and target values of the symmetric components εe and εq and the asymmetric components εe ′ and εq ′ of the post-correction shape of the steel strip, It is a graph which shows transition between the correction start position and the end position about the absolute value of the difference of. The actual values of the symmetric components εe and εq and the asymmetric components εe 'and εq' of the post-correction shape of the steel strip when the straightening condition is manually adjusted by the operator and correction is performed for the entire coil length of the steel strip. It is a graph which shows transition from the correction start position to an end position about the absolute value of the difference of a target value.

Embodiment 1
An embodiment of the present invention will be described below with reference to FIGS. The following description is for better understanding of the gist of the invention and does not limit the present invention unless otherwise specified. Moreover, in this specification, "A-B" has shown that it is A or more and B or less.

  In the following description, in order to facilitate understanding of the arithmetic device according to one aspect of the present invention, first, an outline of a shape correction facility including a tension leveler that is controlled using a value calculated by the arithmetic device will be described. This will be described with reference to FIGS. Next, the knowledge of the present invention will be schematically described, and then the mathematical model used by the arithmetic device and shape control using the mathematical model will be described in detail.

(Schematic configuration of shape correction equipment)
FIG. 1 is a schematic diagram illustrating a configuration of a shape correction facility 1 including a tension leveler 3 that is controlled using a value calculated by a calculation device according to the present embodiment. The shape correction facility 1 is a facility for correcting a shape defect of the metal plate 8, and is installed in a process subsequent to a recoiler, an uncoiler, or a rolling facility.

  The metal plate 8 is, for example, a steel strip that has been unwound from a thin steel strip coil. Moreover, the metal plate 8 may be a metal strip sent from a rolling facility (not shown), and the type of metal is not particularly limited.

  As shown in FIG. 1, the tension leveler 3 includes a roller leveler 30 and a tension applying device 2 provided on the entry side and the exit side of the roller leveler 30.

  The roller leveler 30 includes a work roll 31 disposed on both sides in the thickness direction of the metal plate 8 (upper and lower sides of the metal plate 8), an intermediate roll 32 that supports the work roll 31, and the work roll 31 via the intermediate roll 32. Are provided with an upper backup roll (divided backup roll) 33 and a lower backup roll (divided backup roll) 34. In FIG. 1, these rolls have a longitudinal direction perpendicular to the paper surface, and the metal plate 8 flows on the paper surface from the left to the right to correct the shape.

  In the roller leveler 30 of the present embodiment, the upper side of the metal plate 8 is constituted by eleven work rolls 31, twelve intermediate rolls 32, and eleven upper backup rolls 33, and the lower side is twelve work rolls. It includes 31 and 13 intermediate rolls 32 and 12 lower backup rolls 34.

  FIG. 2 is a diagram schematically illustrating the configuration of each roll when the roller leveler 30 is viewed from the direction in which the metal plate 8 passes.

  As shown in FIG. 2, the eleven upper backup rolls 33 and the twelve lower backup rolls 34 are each equally divided into nine parts, each having nine division parts. The division part which comprises the lower side backup roll 34 is made into the division parts 341-349 in order from a work side to a drive side.

  Here, the drive side is a side of the roller leveler 30 on which a motor (not shown) for rotating the work roll 31 is provided. The work side is the opposite side of the drive side across the roller leveler 30. It is.

  In addition, the division | segmentation backup roll should just be provided in at least one side of the upper and lower sides of the metal plate 8, and either the upper side backup roll 33 or the lower side backup roll 34 should just be a division | segmentation backup roll. That is, the tension leveler 3 has a plurality of divided portions arranged in the axial direction, and includes a plurality of divided backup rolls provided on at least one of the upper and lower sides of the metal plate 8.

  Further, the number of divisions of the divided backup roll is not particularly limited as long as the divided backup roll includes n division units (n = 2s + 1, s is an integer).

  The tension applying device 2 provided in the tension leveler 3 is a device generally called a bridle roll. The tension applying device 2 is provided on the entry side and the exit side of the work roll 31 and can apply tension to the metal plate 8. The tension applying device 2 is not particularly limited as long as it can adjust the tension applied to the metal plate 8.

  In addition, the shape correction facility 1 includes a divided backup roll reduction adjustment device (control mechanism) 4, a shape detector 7, and a process computer (arithmetic device) 6.

  The divided backup roll reduction adjusting device 4 according to the present embodiment adjusts the amount of crowning of each divided portion by reducing and releasing each divided portion of the twelve lower backup rolls 34 equally divided into nine pieces. To do. In this case, each division unit is provided with a drive mechanism that is controlled by the division backup roll reduction device 4 to shift the division unit.

  In addition, you may provide the some division | segmentation backup roll reduction | decrease adjustment apparatus 4 with respect to each division part of a division | segmentation backup roll. In this case, based on the control value transmitted from the process computer 6, each of the plurality of divided backup roll reduction adjusting devices 4 shifts the corresponding divided portion to adjust the crowning amount of the divided portion.

  Here, rolling down the divided portion of the lower backup roll 34 means that the divided portion is shifted vertically upward, and opening means that the divided portion is shifted vertically downward. And the amount of crowning of a division part means the deviation amount (for example, a unit is mm) of a division part. In the present embodiment, the crowning amount at the reference position of each divided portion is set to 0, and the crowning amount when the divided portion is reduced is set to a positive value.

  In other words, the crowning amount can be expressed as a shift amount with respect to the metal plate. When correcting the metal plate 8, reducing and releasing each divided portion means shifting the divided portion with respect to the metal plate 8, and the deflection of the work roll 31 due to the deviation of the divided portion. Can be corrected.

  Further, the divided backup roll pressure adjusting device 4 controls the crowning amount of each of the divided parts (12 × 9 divided parts) of the twelve lower backup rolls 34 as follows. That is, each of the twelve lower backup rolls 34 includes division units 341 to 349. For example, when the crowning amount of the division unit 341 is x (mm), the division backup roll roll-down adjusting device 4 includes twelve pieces. Control is performed so that the crowning amounts of the twelve divided portions 341 of the lower backup roll 34 are all x (mm). Similarly for the other divided portions 342 to 349, the 12 divided portions of the twelve lower backup rolls 34 are equally controlled with the same crowning amount. That is, the divided backup roll pressure adjusting device 4 performs control so as to give the same shift amount to the n-th divided portion from one end of each of the twelve lower backup rolls 34.

  The shape detector 7 is a device that detects the shape of the metal plate 8 before correction, and outputs a signal indicating the detection result to the process computer 6.

  Although described in detail later, the process computer 6 controls the tension leveler 3 based on the input information of the metal plate 8 and the output signal of the shape detector 7.

  Further, the shape correction facility 1 includes a host computer 5 that controls the process computer 6. The host computer 5 includes a display unit 5a (for example, a display device such as a liquid crystal display) that displays control parameters and the like, and an input unit 5b (for example, a mouse and a keyboard) that receives input for changing the control parameters. .

  Although described in detail later, the arithmetic device according to one embodiment of the present invention can be realized as a device included in the process computer 6.

(Schematic explanation of the findings of the invention)
Hereinafter, the technical idea of the arithmetic device according to one aspect of the present invention will be described using the shape correction facility 1 as an example. In addition, although the above-mentioned shape correction equipment 1 is taken as an example here, the present invention is similarly applied to tension levelers having different numbers of rollers such as work rolls 31. Moreover, even if it is the structure which is not equipped with the intermediate | middle roll 32, this invention is applicable.

  Note that the arithmetic device in one embodiment of the present invention targets a thin plate having a thickness of 1.0 mm or less, and can be suitably used for shape correction of a thin plate having a thickness of 0.03 mm to 0.30 mm. Moreover, the shape correction equipment 1 in which the arithmetic device in one aspect of the present invention is used may include a work roll 31 having a roll diameter of 16 mm, for example, the roll diameter of the work roll 31 may be 30 mm or less.

  In general, a thin plate formed by rolling or the like generates not only simple shape defects such as ear elongation and middle elongation, but also quarter elongation and complex elongation in which various elongations are combined in a complex manner. The term “quarter elongation” means that the elongation ratio of the quarter portion is larger than the center of the plate width of the thin plate. In order to prevent these shape defects, it is required to evaluate and control the plate shape with a plurality of indices. Therefore, the plate shape is evaluated by using the elongation ratios at a plurality of locations at different distances from the plate end in the plate width direction (also referred to as the width direction).

  The inventors of the present invention evaluated the plate shape by using a component that is symmetric at the center of the plate width (symmetric component) and a component that is asymmetric at the center of the plate width (asymmetric component), using the elongation at the plurality of locations of the thin plate. When I decided to do so, I got the following new findings.

  That is, it has been found that the symmetric component of the thin plate after correction has a linear relationship with the symmetric component of the thin plate before correction and the tension and crowning amount of the tension leveler 3. Further, the present inventors have found that the asymmetric component of the thin plate after correction has a linear relationship with the asymmetric component of the thin plate before correction and the amount of crowning. Then, by creating a mathematical model incorporating this linear relationship and using the mathematical model, it was possible to correct a thin plate having various shape defects into a good plate shape from the start of leveler correction. A good plate shape is an elongation difference between the elongation at the plate end and the elongation at the center of the plate width, and an elongation difference between the elongation at the quarter and the elongation at the center of the plate width. Is small and the plate shape is flat. This new knowledge will be described in order with reference to the shape correction equipment 1 shown in FIG.

  First, definitions of the symmetric and asymmetric components of the metal plate 8 as a thin plate in a state after correction and the symmetric and asymmetric components in a state before correction will be described. For convenience of explanation, hereinafter, one end side of the metal plate 8 in the plate width direction is referred to as a work side, and the other end side is referred to as a drive side.

(Symmetric component after correction)
As a value indicating the symmetric component in the state after correction, an elongation difference (first) between one point of the two points arranged in the plate width direction and symmetrical to the plate width center and the plate width center. (1 elongation difference) and an average value of the elongation difference (second elongation difference) between the other of the two points and the center of the plate width is used. The set of two points symmetrical to the center of the plate width includes (i) a set of a plate end on the work side and a plate end on the drive side (first combination), and (ii) a quota on the work side. A set (second combination) with a quota unit on the drive side is included. The same applies to the asymmetric component after correction and the symmetric / asymmetric component before correction, which will be described later.

  Specifically, in the straightened metal plate 8, the elongation difference between the elongation at the plate end on the work side and the elongation at the center of the plate width, and the elongation at the drive end and the plate width on the drive side. Let εe be the average value of the difference in elongation from the center elongation. This εe is referred to as a symmetric component with respect to the plate edge after correction.

  Further, in the straightened metal plate 8, the elongation difference between the elongation ratio of the quarter portion at the work side and the elongation ratio at the center of the sheet width, the elongation ratio of the quarter portion at the drive side and the elongation ratio at the center of the sheet width, The average value of the difference in elongation between the two is εq. This εq is referred to as a symmetrical component related to the corrected quarter part.

(Asymmetric components after correction)
As a value indicating the asymmetric component in the state after correction, an elongation difference (third elongation difference) between one point and the other of the two points symmetrical to the center of the plate width is used.

  Specifically, in the straightened metal plate 8, the difference in elongation between the elongation at the plate end on the work side and the elongation at the plate end on the drive side is defined as εe '. This εe 'is referred to as an asymmetric component related to the plate edge after correction. Further, in the corrected metal plate 8, the elongation difference between the elongation ratio of the quarter portion on the work side and the elongation ratio of the quarter portion on the drive side is represented by εq ′. This εq 'is referred to as an asymmetric component related to the corrected quarter part.

(Symmetric component before correction)
As a value indicating the symmetric component in the state before correction, an elongation difference (first elongation difference) between one of the two points symmetrical to the center of the plate width and the center of the plate width, and the above 2 The average value of the elongation difference (second elongation difference) between the other point of the points and the center of the plate width is used.

  Specifically, in the metal plate 8 before correction, the elongation difference between the elongation rate of the plate end portion at the work side and the elongation rate at the center of the plate width, and the elongation rate and the plate width of the plate end portion at the drive side. Let ζe be the average value of the difference in elongation from the center elongation. This ζe is referred to as a symmetric component with respect to the plate end before correction.

  Further, in the metal plate 8 before straightening, the elongation difference between the elongation rate of the quarter portion at the work side and the elongation rate at the center of the plate width, the elongation rate of the quarter portion at the drive side and the elongation rate at the center of the plate width Let ζq be the average value of the difference in elongation between the two. This ζq is referred to as a symmetric component related to the quarter portion before correction.

(Asymmetric component before correction)
As a value indicating the asymmetric component in the state before correction, an elongation difference (third elongation difference) between one point of the two points symmetrical to the center of the plate width and the other point is used.

  Specifically, in the metal plate 8 before correction, the elongation difference between the elongation rate of the plate end portion on the work side and the elongation rate of the plate end portion on the drive side is defined as ζe ′. This ζe 'is referred to as an asymmetric component related to the plate edge before correction.

  Further, in the metal plate 8 before correction, the elongation difference between the elongation ratio of the quarter portion on the work side and the elongation ratio of the quarter portion on the drive side is defined as ζq ′. This ζq 'is referred to as an asymmetric component related to the quarter portion before correction.

  Note that the plate end portion and the quarter portion as the evaluation position may be determined empirically so that the plate shape can be appropriately represented and the accuracy of a mathematical model described later is high. For example, the plate end portion may be a position 25 mm from the end of the plate surface of the metal plate 8 in the plate width direction of the metal plate 8. Further, the quarter portion (intermediate portion) is a portion located between the plate width central portion and the plate end portion in the plate width direction of the metal plate 8, and the quarter portion is located at the plate width central portion and the plate width portion. Although not particularly limited between the end portions, for example, it can be set at a position of 40% of the distance from the center portion of the plate width to the end portion of the plate. Using the set plate end portion and quarter portion in common, the above εe, εq, εe ', εq', ζe, ζq, ζe ', and ζq' are obtained.

  Factors affecting the plate shape of the metal plate 8 after correction include the size, material (deformation resistance, etc.) of the metal plate 8, the plate shape before correction, and the intermesh, tension, and division of the tension leveler 3. There are the amount of crowning of each divided portion by the backup roll pressure adjusting device 4, and the like. Among these, the size and material of the metal plate 8 are classified according to plate thickness, plate width, and metal type, so that the change in size and material within the category are corrected to the plate shape of the metal plate 8 after correction. Can be reduced. In addition, from the viewpoint of stabilizing the warpage of the metal plate 8, the intermesh of the tension leveler 3 is fixed and the leveler correction is performed.

  In this case, it can be said that the main factors affecting the shape change are the plate shape of the metal plate 8 before correction, the tension of the tension leveler 3, and the crowning amount of each divided portion by the divided backup roll pressure adjusting device 4. . Therefore, the plate shape of the metal plate 8 before correction, the tension of the tension leveler 3, and the amount of crowning of each divided portion by the divided backup roll pressure adjusting device 4 quantitatively affect the plate shape of the metal plate 8 after correction. The effect was examined.

  The results obtained by the study by the present inventors will be described below with reference to FIGS. In the following description, correction conditions other than the variation parameters shown in the respective drawings are fixed.

FIG. 3 is a graph showing the influence of the symmetric component ζe regarding the plate end before correction on the symmetric component εe regarding the plate end after correction. The elongation difference is 10 ^-5 as a unit, and this unit is expressed as Iunit (also in the following description, Iunit is a unit representing 10 ^-5 ). As shown in FIG. 3, the symmetric component εe related to the plate end after correction is in a linear relationship with the symmetric component ζe related to the plate end before correction. Due to the correction effect, the change amount of the symmetric component εe is smaller than the change amount of the symmetric component ζe.

  FIG. 4 is a graph showing the influence of the symmetric component ζq related to the quarter portion before correction on the symmetric component εq related to the quarter portion after correction. As shown in FIG. 4, the symmetric component εq related to the quarter part after correction is linearly related to the symmetric component ζq related to the quarter part before correction. Due to the correction effect, the change amount of the symmetric component εq is smaller than the change amount of the symmetric component ζq.

FIG. 5 is a graph showing the influence of the tension T on the symmetric component εe for the plate edge portion after correction and the symmetric component εq for the quarter portion. The tension T means the tension applied to the metal plate 8 by the tension applying device 2. The unit of the tension T is, for example, N / mm ² . As shown in FIG. 5, the symmetric component εe regarding the plate end after correction and the symmetric component εq regarding the quarter portion both decrease with an increase in the tension T and have a substantially linear relationship with the tension T. The range of the tension T is not particularly limited. However, in the range of at least 250 to 600 N / mm ² , the symmetric component εe and the tension T, and the symmetric component εq and the tension T are almost in a linear relationship. .

  FIGS. 6A to 6D and FIG. 7 are graphs showing the influence of the crowning amount of each divided portion on the symmetric component εe regarding the plate end portion after correction and the symmetric component εq regarding the quarter portion. In the present embodiment, the crowning amount is positive on the reduction side and negative on the open side.

FIG. 6A is a graph showing the influence of the average value Cr ₁ of the crowning amount of the first dividing unit 341 and the crowning amount of the ninth dividing unit 349 from the work side on the symmetric component εe and the symmetric component εq. It is. FIG. 6B is a graph showing the influence of the average value Cr ₂ of the crowning amount of the second dividing unit 342 and the crowning amount of the eighth dividing unit 348 from the work side on the symmetric component εe and the symmetric component εq. It is. (C) in FIG. 6, on the symmetrical components εe and symmetric element Ipushironq, graph showing the effect of the average Cr ₃ of the third crowning amount of the divided portion 343 and the seventh crowning amount of the divided portion 347 from the workpiece side It is. FIG. 6D is a graph showing the influence of the average value Cr ₄ of the crowning amount of the fourth dividing unit 344 and the crowning amount of the sixth dividing unit 346 from the work side on the symmetric component εe and the symmetric component εq. It is. FIG. 7 is a graph showing the influence of the crowning amount Cr ₅ of the _fifth dividing portion 345 from the work side on the symmetric component εe and the symmetric component εq.

As shown in FIG. 6A, the symmetric component εe increases as the average value Cr ₁ increases, and the symmetric component εq hardly changes. The same applies to (b) and (c) of FIG. 6, the symmetric component εe increases as the average value Cr ₂ or the average value Cr ₃ increases, and the symmetric component εq hardly changes.

On the other hand, as shown in FIG. 6D, the symmetric component εe decreases as the average value Cr ₄ increases, and the symmetric component εq hardly changes. Further, as shown in FIG. 7, both the symmetric component εe and the symmetric component εq decreased as the crowning amount Cr ₅ of the dividing unit 345 increased.

As described above, the influence of the crowning amount of the divided portion varies depending on the position of the divided portion in the divided backup roll, but the symmetric component εe and the symmetric component εq are the average value Cr ₁ , the average value Cr ₂ , and the average value Cr _{3, respectively.} , Average value Cr ₄ , and crowning amount Cr ₅ .

That is, in a divided backup roll having n (n = 2s + 1, s is an integer) divided units, the average value Cr _i (the crowning amount of the i-th and (n + 1−i) -th divided unit from one end of the divided backup roll). i = 1, 2, 3,..., s) and the crowning amount Cr _{s + 1} of the s + 1-th divided portion from one end of the divided backup roll are linearly related to the symmetric component εe and the symmetric component εq, respectively.

  FIG. 8 is a graph showing the influence of the asymmetric component ζe ′ related to the plate end before correction on the asymmetric component εe ′ related to the plate end after correction. As shown in FIG. 8, the asymmetric component εe ′ related to the plate end after correction is linearly related to the asymmetric component ζe ′ related to the plate end before correction. Due to the correction effect, the amount of change of the asymmetric component εe ′ is smaller than the amount of change of the asymmetric component ζe ′.

  FIG. 9 is a graph showing the influence of the asymmetric component ζq ′ relating to the quarter portion before correction on the asymmetric component εq ′ relating to the quarter portion after correction. As shown in FIG. 9, the asymmetric component εq ′ relating to the quarter portion after correction is in a linear relationship with the asymmetric component ζq ′ relating to the quarter portion before correction. Due to the correction effect, the amount of change of the asymmetric component εq 'is smaller than the amount of change of the asymmetric component ζq'.

  (A)-(d) of FIG. 10 is a graph which shows the influence of the crowning amount of each divided part on the asymmetric component εe ′ related to the plate edge after correction and the asymmetric component εq ′ related to the quarter part.

FIG. 10A shows the difference Cr ₁ ′ between the crowning amount of the first dividing unit 341 and the crowning amount of the ninth dividing unit 349 from the work side on the asymmetric component εe ′ and the asymmetric component εq ′. It is a graph which shows the influence of. FIG. 10B shows the difference Cr ₂ ′ between the crowning amount of the second dividing unit 342 and the crowning amount of the eighth dividing unit 348 from the work side on the asymmetric component εe ′ and the asymmetric component εq ′. It is a graph which shows the influence of. FIG. 6C shows the difference Cr ₃ ′ between the crowning amount of the third dividing unit 343 and the crowning amount of the seventh dividing unit 347 from the work side on the asymmetric component εe ′ and the asymmetric component εq ′. It is a graph which shows the influence of. FIG. 6D shows the difference Cr ₄ ′ between the crowning amount of the fourth dividing portion 344 and the crowning amount of the sixth dividing portion 346 from the work side, on the asymmetric component εe ′ and the asymmetric component εq ′. It is a graph which shows the influence of.

As shown in FIG. 10A, both the asymmetric component εe ′ and the asymmetric component εq ′ increased as the crowning amount difference Cr ₁ ′ increased. As shown in FIGS. 10B and 10C, the asymmetric component εe ′ decreases and the asymmetric component εq ′ hardly changes as the crowning difference Cr ₂ ′ or the difference Cr ₃ ′ increases. Further, as shown in FIG. 10D, the asymmetric component εq ′ increases as the crowning difference Cr ₄ ′ increases, and the asymmetric component εe ′ hardly changes.

As described above, the degree of influence of the crowning amount of the split portion differs depending on the position of the split portion in the split backup roll, but the asymmetric component εe ′ and the asymmetric component εq ′ are different in the crowning amount difference Cr ₁ ′, Cr ₂ ′, It has a linear relationship with Cr ₃ ′ and Cr ₄ ′.

That is, in a divided backup roll having n (n = 2s + 1, s is an integer) divided units, the difference Cr _i ′ (crown amount difference between the i-th and (n + 1−i) -th divided units from one end of the divided backup roll. i = 1, 2, 3,..., s) are linearly related to the asymmetric component εe ′ and the asymmetric component εq ′, respectively.

The present inventors have found the following from the relationship between the above factors. That is, first, the influence coefficients representing the respective linear relations (increases in increase) in the relations between the above factors are ae, be, ce _i, ce _{s + 1} , de, ee, fe _i , aq, bq, cq. _i, cq _{s + 1} , dq, eq, fq _i . These influence coefficients can be determined based on the plate thickness, plate width, metal type, and the like of the metal plate 8 when the mesh of the tension leveler 3 is fixed. The present inventors have found that the plate shape of the corrected metal plate 8 can be predicted using the following mathematical formula models (1) to (4).

Here, n is the number of division units in the division backup roll, and n = 2s + 1. s is an integer. In addition, the influence coefficient _{ae, be, ce i, ce} s + 1, de, ee, fe i, aq, bq, cq i, cq s + 1, dq, eq, fq i (i = 1,2,3, ···, s) may be set in a table for each section of the plate width, plate thickness, material (for example, metal type) of the metal plate 8, or may be expressed as a function of various correction conditions.

  The above formulas (1) and (2) as the first formula indicate εe and εq as the first target values, and the above formulas (3) and (4) as the second formula are the second target values. Εe ′ and εq ′ as The influence coefficients ae, aq, ee, and eq indicate the degree of influence on the first target value and the second target value based on the shape of the metal plate 8 before being corrected by the tension leveler 3. it can.

  In the present embodiment, the tension leveler 3 studied for controlling the plate shape of the metal plate 8 corresponds to s = 4 and n = 9 because the lower backup roll 34 is divided into nine pieces.

  Even if the backup roll has a different number of divisions (number of division units), the above formulas (1) to (4) are effective by changing the value of s.

When s = 4 and n = 9, each value in the mathematical model of the above formulas (1) to (4) can be specifically calculated as follows, for example. Here, in the corrected metal plate 8, the elongation at the plate end at the work side is Ee _W , the elongation at the plate end at the drive side is Ee _D , the elongation at the center of the plate width is Ec, and the quarter at the work side The elongation percentage of the part is represented by Eq _W , and the elongation percentage of the quarter part on the drive side is represented by Eq _D. Also, the crowning amount of the i-th divided portion from the work side is represented as CA _i , and the crowning amount of the (n + 1−i) -th divided portion from the work side is represented as CA _{n + 1-i} .

  εe represents a symmetric component with respect to the plate end portion in the corrected metal plate 8, and is specifically represented by the following formula (5).

εe = ((Ee _W −Ec) + (Ee _D −Ec)) / 2 (5)
εq represents a symmetric component related to the quarter portion in the corrected metal plate 8, and is specifically represented by the following formula (6).

εq = ((Eq _W −Ec) + (Eq _D −Ec)) / 2 (6)
εe ′ represents an asymmetric component related to the plate end portion of the corrected metal plate 8 and is specifically represented by the following formula (7).
εe ′ = Ee _W −Ee _D (7).

εq ′ represents an asymmetric component regarding the quarter portion in the metal plate 8 after correction, and is specifically represented by the following formula (8).
εq ′ = Eq _W −Eq _D (8).

  ζe, ζq, ζe ′, and ζq ′ can be respectively calculated by performing the same calculation on the metal plate 8 before correction so as to correspond to the εe, εq, εe ′, and εq ′.

Table cr _i is the n number of segmented portions, relates parameters defined by the average of the crowning amount of symmetrical two divided portions at the center of the dividing unit, in particular by the following formula (9) Is done.
Cr _i = (CA _i + CA _{n + 1−i} ) / 2 (i = 1, 2, 3,... S) (9).

Cr _i ′ relates to a parameter defined by the difference in the crowning amount of two divided parts symmetrical to the central divided part in the n divided parts, and is specifically represented by the following formula (10). Is done.
_{Cr i '= CA i -CA n} + 1-i (i = 1,2,3, ··· s) (10).

  In the initial setting (preset) of the leveler condition before the correction of the metal plate 8 is started, the elongation at a plurality of locations in the plate width direction of the metal plate 8 can be measured in advance and the measured value can be used. Specifically, for example, the measured values of elongation at a total of five locations at the plate edge portion, the quarter portion, and the center of the plate width at the longitudinal correction start portion of the metal plate 8 can be used. For example, the elongation rate of the plurality of locations may be measured before the metal plate 8 is installed on the tension leveler 3, or when the coil of the metal plate 8 is manufactured, It is also possible to measure the elongation and use the measured value. This is because correction is started from the winding end portion of the coil in the correction process. Alternatively, the measurement value data measured using the shape detector 7 described later is accumulated and statistical processing is performed, and the most appropriate (high frequency) elongation rates at a plurality of locations in the plate width direction are used. May be.

  Further, in the shape control based on the shape detector 7 arranged on the entrance side of the tension leveler 3, the shape detector 7 is used to continuously measure a plurality of locations in the plate width direction of the metal plate 8, and the measurement is performed. A value can be used. Specifically, the shape detector 7 measures, for example, a total of five locations at the plate end portion, the quarter portion, and the center of the plate width of the metal plate 8, and transmits the measured information to the process computer. Using the measured values, a symmetric component ζe and an asymmetric component ζe ′ for the plate edge before correction, a symmetric component ζq and an asymmetric component ζq ′ for the quarter portion before correction are calculated.

The arithmetic device according to one aspect of the present invention uses the above-described initial setting or calculated ζe, ζe ′, ζq, ζq ′. Then, the set target value of the symmetric component εe for the corrected plate edge is εe ⁰ , the set target value of the asymmetric component εe ′ is εe ′ ⁰ , and the set target value of the symmetric component εq for the quarter portion in the corrected shape is εq ^0. Assuming that the set target value of the asymmetric component εq ′ is εq ′ ⁰ , the values are substituted into the equations (1) and (2) as the first equation and the equations (3) and (4) as the second equation. . These set target values can be set in advance.

Thereby, in the relational expressions of the formulas (1) to (4), the tension T, the i-th from one end of the split backup roll, and the set target values εe ⁰ , εe ′ ⁰ , εq ⁰ , εq ′ ⁰ The average value Cr _i of the crowning amount of the (n + 1−i) -th divided portion, the crowning amount Cr _{s + 1} of the divided portion s + 1 (center position) from one end of the divided backup roll, and the i-th and ( The difference Cr _i ′ of the crowning amount of the (n + 1−i) th divided portion can be calculated. Based on the calculated tension T, average value Cr _i , crowning amount Cr _{s + 1} , and difference Cr _i ′, an initial set value of the tension leveler 3 may be calculated and controlled.

  Thereby, the metal plate 8 having various shape defects can be corrected to a good plate shape.

  Here, in the conventional method described in Patent Document 1 described above, during operation of a shape correction facility (line) for correcting the shape of a plate material using a tension leveler, or at least in a state where the plate material is installed on the tension leveler, Correct the leveler condition. This is because the stress distribution of the plate material measured by the stress measuring means can be affected by the tension applied to the plate material by the bridle roll. Therefore, the method described in Patent Document 1 is difficult to use for the initial setting of the leveler condition, the initial setting of the leveler condition is not appropriate, and it takes time until the leveler condition reaches an appropriate value. A defective part may become long.

  On the other hand, by using the arithmetic unit of the present embodiment, the initial setting (preset) of the leveler condition before starting the correction of the metal plate 8 can be suitably performed, or the shape correction can be performed. When performing, the leveler condition can be controlled to an appropriate value based on the shape detected by the shape detector 7 disposed on the entry side of the tension leveler 3. Therefore, compared with the method described in Patent Document 1, the time until the leveler condition reaches an appropriate value can be shortened, and the shape correction defect portion of the plate material can be shortened.

  In the above description, the plate end and the quarter portion (two places) on the work side, the plate end and the quarter portion (two places) on the drive side, the plate width center (one place), The plate shape of the metal plate 8 is evaluated at a total of five locations, and the leveler conditions are calculated based on the above formulas (1) to (4). However, the present invention is not limited to this, and the plate shape of the metal plate 8 is a total of seven or more points including three or more points on the work side, three or more points on the drive side, and the center of the plate width. May be evaluated. In this case, the leveler condition can be calculated using a shape prediction formula with increased variables.

(Configuration of arithmetic device in one embodiment of the present invention)
An arithmetic device according to one embodiment of the present invention that calculates a value for controlling the tension leveler 3 using the above formulas (1) to (4) will be described with reference to FIG. FIG. 11 is a block diagram illustrating a schematic configuration of the process computer 6 included in the shape correction facility 1.

  The arithmetic device according to one aspect of the present invention can be realized as one function of the process computer 6 included in the shape correction facility 1, for example. Note that the arithmetic device according to one embodiment of the present invention may be realized using a computer (for example, the host computer 5) different from the process computer 6, and hardware is not particularly limited.

  As shown in FIG. 11, the process computer 6 includes a control unit 10 and a storage unit 20. The control unit 10 is connected to a host computer 5, a shape detector 7, and a tension leveler 3 provided outside the process computer 6 so as to communicate with each other.

  The control unit 10 includes an influence coefficient determination unit 11, a main calculation unit 12 (calculation unit), a device control unit 13, and an elongation rate difference calculation unit 14. The storage unit 20 stores influence coefficient data 21 and control parameters 22.

  The control unit 10 is, for example, a CPU (Central Processing Unit) that controls the operation of the entire process computer 6. Each part with which control part 10 is provided may be realized as software which operates by CPU, for example.

  The detailed description of the influence coefficient determination unit 11, the main calculation unit 12, the device control unit 13, and the elongation rate difference calculation unit 14 in the control unit 10 is combined with an example of the flow of processing executed by the process computer 6. It will be described later.

  The storage unit 20 is a nonvolatile storage device that stores various data used in the control unit 10.

  The influence coefficient data 21 shows each influence coefficient included in the above formulas (1) to (4) in correspondence with the size and material (plate thickness, plate width, metal type) of the metal plate 8, for example, in a table format. It is data. Alternatively, the influence coefficient data 21 is data indicating a predetermined function used for calculating the influence coefficient in accordance with the correction condition. The influence coefficient data 21 may be any data that allows the influence coefficient determination unit 11 to set an influence coefficient corresponding to the correction condition input to the host computer 5 based on the influence coefficient data 21.

  The control parameter 22 includes various parameters (correction conditions) for controlling the tension leveler 3. Examples of the control parameter 22 include the number of work rolls 31, the mesh number, the rotational speed, the diameter, the friction coefficient, and the curvature applied to the metal plate 8. Based on the control parameter 22, each influence coefficient included in the above formulas (1) to (4) can be determined, and a value for controlling the tension leveler 3 is calculated using the above formulas (1) to (4). I can do it.

The control parameter 22 includes a plate shape target value (for example, εe ⁰ , εe ′ ⁰ , εq ⁰ , εq ′ ⁰ ) that defines a target plate shape of the metal plate 8 after correction by the tension leveler 3. For example, if the plate shape after correction is flat (the elongation difference is zero at each location in the plate width direction), the set target values εe ⁰ , εe ′ ⁰ , εq ⁰ , εq ′ ⁰ The plate shape target value is also 0.

Here, the set target values εe ⁰ , εe ′ ⁰ , εq ⁰ , εq ′ ⁰ may be variously set according to the desired plate shape after correction of the metal plate 8. For example, as a plate shape (product shape) after the metal plate 8 is corrected, there may be a request that middle elongation is impossible or ear elongation is impossible. For example, when medium elongation is not possible, the set target values εe ⁰ and εq ⁰ may be set so that the target plate shape is slightly elongated. This is the same in the following description.

  The control parameter 22 can be input by the user via the input unit 5 b of the host computer 5. The input method of the control parameter 22 is not particularly limited. Various correction conditions may be input to the host computer 5 in advance.

(Process flow)
An example of the flow of processing executed by the process computer 6 as the arithmetic device according to one embodiment of the present invention as described above will be described with reference to FIG. FIG. 12 is a flowchart showing an example of the flow of processing executed by the process computer 6 based on the measured value of the plate shape before the start of correction in the shape correction facility 1.

  As shown in FIG. 12, before the correction of the metal plate 8 is started (preset control), the user inputs information such as the size and material of the metal plate 8 to be corrected into the input unit 5b (step 1; hereinafter) Abbreviated as S1).

  In addition, the user inputs elongation rates at a plurality of locations in the plate width direction of the metal plate 8 before correction to the input unit 5b (S2). In the present embodiment, the workpiece side plate end portion and quarter portion, the drive side plate end portion and quarter portion, and the center of plate width in five places in total are input. Thereby, the shape before correction represented by the elongation difference in the metal plate 8 before correction is calculated (shape calculation before correction).

Then, the user inputs εe ⁰ , εq ⁰ , εe ′ ⁰ , and εq ′ ⁰ as plate shape setting target values that define the target plate shape of the metal plate 8 after correction by the tension leveler ^3. (S3: target value setting step).

  The order of S1 to S3 is not limited. The data input in S <b> 1 to S <b> 3 is transmitted to the process computer 6 and stored as the control parameter 22 in the storage unit 20.

Next, the influence coefficient determination unit 11 determines an appropriate influence coefficient from the influence coefficient data 21 based on the information of the control parameter 22 (S4: influence coefficient determination step). Since in the present embodiment, s = a 4, influence coefficient _{ae, be, ce i, ce} s + 1, de, ee, fe i, aq, bq, cq i, cq s + 1, dq, eq, fq i ( i = 1, 2, 3, 4; s = 4).

After that, the main calculation unit 12 uses the elongation rates at the five locations on the metal plate 8 before correction, and uses the symmetric component ζe and asymmetric component ζe ′ regarding the plate end before correction, and the symmetric component ζq regarding the quarter portion before correction. The asymmetric component ζq ′ is calculated. Then, the main calculation unit 12 uses these calculated values, the above-described influence coefficients determined by the influence coefficient determination unit 11, plate shape setting target values εe ⁰ , εe ′ ⁰ , εq ⁰ , and εq ′ ⁰ as the first expression. Substituting into the above formulas (1) and (2) and the above formulas (3) and (4) as the second formula and solving the simultaneous equations, the tension T and the dividing sections 341 to 349 (from one end) The crowning amount (initial setting value, control value) of each of the nth division unit is calculated (S5: control value calculation step). In addition, the method of calculating | requiring the solution of said Formula (1)-(4) is not specifically limited. For example, any one or a plurality of values of the tension T and the crowning amounts of the division units 341 to 349 may be fixed. Or you may give a relational expression between each crowning amount of the division parts 341-349. It is only necessary that the obtained tension T and the respective crowning amounts of the dividing portions 341 to 349 are within the specification range.

  And the apparatus control part 13 controls the tension | tensile_strength addition apparatus 2 using the calculated tension | tensile_strength T, and controls the division | segmentation backup roll roll-down adjustment apparatus 4 using each calculated crowning amount of the division | segmentation parts 341-349. (S6).

  Note that it is not necessary to cause the main calculation unit 12 to automatically perform all of the plurality of calculations included in the control value calculation step S5. For example, for the solutions of the above formulas (1) to (4), the user may calculate a preferable solution while selecting various parameters.

  As described above, the shape of the metal plate 8 can be evaluated by using a symmetric component at the center of the plate width (a symmetric component) and an asymmetric component at the center of the plate width (asymmetric component) to cope with various shape defects. can do. And the elongation value of several places of the plate width direction which measured the control value of the tension leveler 3 appropriate in order to make the metal plate 8 which has various shape defects into a desired plate shape (desired setting target value). Can be calculated before the start of correction using the above formulas (1) to (4).

  Therefore, a value for controlling the tension leveler 3 including the divided backup roll can be calculated so that the metal plate 8 having various shape defects can be corrected to a good plate shape more quickly.

  Note that the arithmetic device according to one aspect of the present invention may be realized as part of a control device that controls the tension leveler 3.

[Embodiment 2]
The process computer 6 according to the present embodiment calculates a value for controlling the tension leveler 3 based on the information acquired from the shape detector 7. FIG. 13 is a flowchart showing an example of the flow of processing executed by the process computer 6 of this embodiment. For convenience of explanation, the present embodiment will be described using the same reference numerals as those in the first embodiment. Here, it is assumed that S1 to S4 in the first embodiment have already been performed, and the correction of the metal plate 8 by the tension leveler 3 is being performed.

  In the state where the metal plate 8 is installed on the tension leveler 3, as shown in FIG. 13, the shape detector 7 detects the shape at a plurality of locations in the plate width direction of the metal plate 8 to be corrected (S11: shape). Detection step). In the present embodiment, the shape detector 7 detects the shapes of a total of five locations in the plate end portion and the quota portion on the work side of the metal plate 8, the plate end portion and the quota portion on the drive side, and the center of the plate width. Information detected by the shape detector 7 is transmitted to the elongation difference calculator 14. This information may be the elongation rate itself or a numerical value indicating the shape of the metal plate 8 for calculating the elongation rate.

  Next, the elongation difference calculation unit 14 is based on the information from the shape detector 7, and the symmetrical component ζe regarding the plate edge as an average of the elongation difference between the plurality of locations of the metal plate 8 and the elongation difference. The asymmetric component ζe ′, the symmetric component ζq related to the quota part, and the asymmetric component ζq ′ are calculated (S12: shape calculation before correction).

Thereafter, the main calculation unit 12 sets the calculated values, the above-described influence coefficients determined by the influence coefficient determination unit 11, and the plate shape setting target values εe ⁰ , εe ′ ⁰ , εq ⁰ , and εq ′ ⁰ as described above. By substituting into the equations (1) to (4) and solving the simultaneous equations, the crowning amounts of the tension T and the dividing units 341 to 349 are calculated (S13: control value calculating step).

  And the apparatus control part 13 controls the tension | tensile_strength addition apparatus 2 using the calculated tension | tensile_strength T, and controls the division | segmentation backup roll roll-down adjustment apparatus 4 using each calculated crowning amount of the division | segmentation parts 341-349. (S14).

  As described above, for example, during the correction of the metal plate 8 by the tension leveler 3, the tension leveler is adjusted in accordance with the change in the elongation rate (shape defect of the metal plate 8) at a plurality of locations in the plate width direction of the metal plate 8 before correction. The value for controlling 3 can be adjusted. Therefore, the value for controlling the tension leveler 3 provided with the divided backup rolls can be calculated so that the metal plate 8 having various shape defects can be corrected to a good plate shape more quickly.

(Example)
One example and a comparative example of the present invention will be described below with reference to FIGS. 14 and 15.

Using the shape correction equipment 1 of the present embodiment, the shape correction of the metal plate 8 was performed over the entire length of the coil of a steel strip (metal plate 8) having a plate thickness of 0.08 mm, a plate width of 650 mm, and a steel type SUS304. In addition, about the evaluation position of a board edge part and a quarter part, the board edge part was made into the position of 25 mm from a board edge, and the quarter part was made into the position of 40% of the distance from a board width center to a board edge. Further, the set target values εe ⁰ and εq ⁰ of the symmetric component of the post-correction shape were set to 8 Unit and 3 Unit, respectively, and the set target values εe ′ ⁰ and εq ′ ⁰ of the asymmetric component of the post-correction shape were set to ⁰ Unit.

  Before starting the correction of the metal plate 8, the pre-measured metal plate 8 before and after the work side plate end and quarter, the drive side plate end and quarter, and the elongation of 5 places in the center of the plate width. Based on the above, the crowning amount of each of the tension T and the dividing parts 341 to 349 was calculated and set.

  Then, during the correction of the metal plate 8, a total of five locations measured by the shape detector 7, including the work-side plate end and quarter of the metal plate 8, the drive-side plate end and quarter, and the center of the plate width. Based on this information, the elongation percentage of each part was calculated, and the tension T and the crowning amount of each of the divided parts 341 to 349 were calculated and set.

  For comparison, based on the measurement result of the shape detector provided on the exit side of the tension leveler 3, the operator changes the tension T and the crowning amount of each of the dividing units 341 to 349, and the same as above. The coil was subjected to shape correction.

  When shape correction is performed using the shape correction equipment 1 of the present embodiment, as shown in FIG. 14, the actual values and target values of the symmetric components εe and εq of the corrected shape from the point of time when the shape correction is started. And the absolute value of the difference between the actual value of the asymmetric components εe ′ and εq ′ and the target value were all within 5 Units. This was the same over the entire length of the coil.

  On the other hand, when the correction condition is manually adjusted by the operator, as shown in FIG. 15, the difference between the actual value of the symmetrical components εe and εq of the corrected shape and the target value at the time of starting the shape correction, as shown in FIG. The absolute value of was 18 Iunit and 12 Iunit, respectively, and was not within 5 Units thereafter.

(Modification 1)
The shape correction equipment 1 may not be provided with the shape detector 7. As described above, immediately after the start of correction, by calculating the tension T and the respective crowning amounts of the divided portions 341 to 349 based on the pre-correction shape of the metal plate 8 measured before the start of correction of the metal plate 8. The metal plate 8 can be corrected to a good plate shape. Then, the absolute value of the difference between the actual value and the target value of the symmetric components εe and εq of the corrected shape and the absolute value of the difference between the actual value and the target value of the asymmetric components εe ′ and εq ′ are maintained in a small state. In this way, the operator may make a fine adjustment manually.

(Modification 2)
In the shape correction facility 1, if the shape detector 7 is provided, the initial setting of the tension T and the respective crowning amounts of the dividing units 341 to 349 before the start of correction is not essential. Based on the information from the shape detector 7, the appropriate tension T and the crowning amount of each of the dividing units 341 to 349 can be calculated. In this case, the information from the shape detector 7 is input in the above-described S2 (see FIG. 12), and the control of the tension leveler 3 may be started by the same processing flow as in FIG.

(Modification 3)
The divided backup roll pressure adjusting device 4 may be configured to control the upper backup roll 33. In that case, rolling down the divided portion of the upper backup roll 33 means shifting the divided portion vertically downward.

[Example of software implementation]
The control blocks of the process computer 6 (in particular, the influence coefficient determination unit 11, the main calculation unit 12, the device control unit 13, and the elongation difference calculation unit 14) are logic circuits (hardware) formed in an integrated circuit (IC chip) or the like. Hardware), or software using a CPU (Central Processing Unit).

  In the latter case, the host computer 5 and the process computer 6 include a CPU that executes instructions of an information processing program that is software for realizing each function, and a ROM in which the program and various data are recorded so as to be readable by the computer (or CPU). (Read Only Memory) or a storage device (these are referred to as “recording media”), a RAM (Random Access Memory) for expanding the program, and the like. Then, the computer (or CPU) reads the program from the recording medium and executes it to achieve the object of the present invention. As the recording medium, a “non-temporary tangible medium” such as a tape, a disk, a card, a semiconductor memory, a programmable logic circuit, or the like can be used. The program may be supplied to the computer via an arbitrary transmission medium (such as a communication network or a broadcast wave) that can transmit the program. The present invention can also be realized in the form of a data signal embedded in a carrier wave, in which the program is embodied by electronic transmission.

  The present invention is not limited to the above-described embodiments, and various modifications are possible within the scope shown in the claims, and embodiments obtained by appropriately combining technical means disclosed in different embodiments. Is also included in the technical scope of the present invention.

3: Tension leveler 4: Split backup roll pressure reduction device (control mechanism)
6: Process computer (arithmetic unit)
7: Shape detector 8: Metal plate 12: Main calculation unit (calculation unit)
34: Lower backup roll (split backup roll)
341-349: Dividing part

Claims (11)

A plurality of divided backup rolls each having a plurality of divided portions arranged in the axial direction are provided, and a tension leveler that corrects the plate shape of the metal plate is controlled by controlling the amount of shift of the divided portion with respect to the metal plate. An arithmetic device for calculating a control value to be
A calculation unit that calculates the tension applied to the metal plate by the tension leveler and the control value of the shift amount;
The calculation unit affects a target value of an elongation difference between two points arranged along the width direction of the metal plate.
(i) the degree of influence of the tension,
(ii) the degree of influence of the deviation amount, and
(iii) Influence based on the shape of the metal plate before being corrected by the tension leveler,
And calculating the control value so that the target value indicated by the mathematical expression becomes a preset target value. The calculation unit calculates the control value using the first expression and the second expression,
A first elongation difference between one of the two points symmetrical to the center of the plate width and the center of the plate width, and the other of the two points, arranged along the width direction of the metal plate And a target value of a third elongation difference between the one point and the other point is set as a first target value as a target value for an average value of the second elongation difference between the center and the plate width. Is the second target value,
The first equation indicates the first target value, and also indicates the degree of influence of the tension, the shift amount, and the average value of the metal plate before correction on the first target value. Including multiple influence factors,
The second equation indicates the second target value, and also indicates the degree of influence of the shift amount and the third elongation difference in the metal plate before correction on the second target value. The arithmetic unit according to claim 1, comprising a plurality of influence coefficients. Each of the plurality of divided backup rolls has n (n = 2s + 1, s is an integer) divided units,
The first formula is an average value (i = 1, 2, 3,..., S) of deviation amounts of the i-th and (n + 1-i) -th divided portions from one end of the divided backup roll, and Including an influence coefficient indicating the degree of influence of the deviation amount of the (s + 1) -th divided portion from one end of the divided backup roll,
The second equation expresses the degree of influence of the difference (i = 1, 2, 3,..., S) of the deviation amounts of the i-th and (n + 1−i) -th divided portions from one end of the divided backup roll. Each of them includes an impact coefficient
The calculation unit calculates the shift amount (n = 1, 2, 3,..., 2s + 1) of the nth split unit from one end of each of the plurality of split backup rolls as the shift amount. The arithmetic unit according to claim 2. As the two points symmetrical to the center of the plate width, a combination of one end in the plate width direction of the metal plate as the one point and the other end as the other point is referred to as a first combination, and the metal A combination in which the intermediate portion that is closer to the center of the plate width than the end portion in the plate width direction of the plate is the one point and the other intermediate portion is the second point is referred to as a second combination,
The said 1st type | formula and 2nd type | formula each include two formulas, the formula based on the said 1st combination, and the formula based on the said 2nd combination, The said 2nd formula is characterized by the above-mentioned. Arithmetic unit. The arithmetic unit according to claim 4, wherein the first expression is expressed by the following expressions (1) and (2).

(here,
εe: the first target value based on the first combination εq: the first target value based on the second combination ζe: the first elongation based on the first combination in the metal plate before correction Average value of difference and second elongation difference ζq: Average value of the first elongation difference and the second elongation difference based on the second combination in the metal plate before correction T: Tension n : Number of division parts of the divided backup roll (n = 2s + 1, s is an integer)
Cr _i : average value of deviation amounts of the i-th and (n + 1−i) -th divided portions from one end of the divided backup roll Cr _{s + 1} : deviation amount of the s + 1-th divided portion from one end of the divided backup roll ae, (be, ce _i, ce _{s + 1} , de, aq, bq, cq _i, cq _{s + 1} , dq: influence coefficients) The arithmetic unit according to claim 4, wherein the second equation is expressed by the following equations (3) and (4).

(here,
εe ′: the second target value based on the first combination εq ′: the second target value based on the second combination ζe ′: the third target value based on the first combination in the metal plate before correction Elongation rate difference ζq ′: The third elongation rate difference based on the second combination in the metal plate before correction n: Number of divided parts of the divided backup roll (n = 2s + 1, s is an integer)
Cr _i ′: Differences in deviation amounts of the i-th and (n + 1−i) -th divided portions from one end of the divided backup roll ee, fe _i , eq, fq _i : influence coefficients)   The calculation unit calculates the tension and the shift amount based on a set value of an elongation difference between two points at a plurality of locations arranged along the width direction of the metal plate before correction. The arithmetic unit according to any one of claims 1 to 6. Provided on the entry side of the tension leveler, and connected to a shape detector for detecting the shape of the metal plate,
The said calculation part calculates the said tension | tensile_strength and the said deviation | shift amount based on the elongation rate of the several location of the said metal plate calculated based on the shape which the said shape detector detected. The arithmetic unit according to any one of? 7. A plurality of divided backup rolls each having a plurality of divided portions arranged in the axial direction are provided, and a tension leveler that corrects the plate shape of the metal plate is controlled by controlling the amount of shift of the divided portion with respect to the metal plate. An arithmetic method for calculating a control value to be
The calculation method is a method of calculating a tension applied to the metal plate by the tension leveler and a control value of the deviation amount,
A pre-correction shape calculation step of calculating a pre-correction shape represented by a difference in elongation between two points arranged along the width direction in the metal plate before being corrected by the tension leveler;
A target value setting step for setting a set target value for the shape after correction of the metal plate;
(I) the degree of influence of the tension, (ii) the degree of influence of the shift amount, and (iii) the degree of influence on the target value of the elongation difference between two points arranged along the width direction of the metal plate An influence coefficient determining step for determining an influence coefficient indicating the degree of influence of the calculated pre-correction shape according to the type of the metal plate;
And a control value calculation step of calculating a control value of the tension and the deviation amount based on the set target value using a mathematical expression including the determined influence coefficient. .   An information processing program for causing a computer to function as the arithmetic device according to claim 1, wherein the information processing program causes the computer to function as the calculation unit.   The computer-readable recording medium which recorded the information processing program of Claim 10.

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