JP2018126768A - Arithmetic unit and arithmetic method - Google Patents

Abstract

PROBLEM TO BE SOLVED: To correct a metal plate having various defects of a shape to obtain an excellent plate shape.SOLUTION: A process computer (6) includes a main operation unit (12) which calculates a correction amount of tensile force of a tension leveler (3), and a correction amount of crowning quantity of each of divided parts (341-349) in a lower side back-up roll (34). The main operation unit (12) calculates the correction amount by using a mathematical formula including an influence coefficient individually representing an influence degree of the tensile force, and an influence degree of the correction amount of the crowning quantity on a difference between a target value and a measured value for an elongation percentage difference between two points arrayed in a width direction of the metal plate (8).SELECTED DRAWING: Figure 7

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, the mathematical formula for control that predicts the shape after correction is not specifically described, and it is unclear how the correction value for correcting the leveler condition can be obtained. 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 control 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. It is to provide a calculation 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 unit that calculates a control value for controlling a tension leveler that corrects the plate shape of the metal plate by controlling the amount, and corrects the tension applied to the metal plate by the tension leveler and the deviation amount A calculation unit that calculates a correction amount for performing the correction, and the calculation unit corrects the target value of the elongation difference between two points arranged along the width direction of the metal plate and the tension leveler. The degree of influence of the correction amount of the tension and the degree of influence of the correction amount of the shift amount on the difference from the actually measured value corresponding to the target value calculated based on the shape of the metal plate are respectively shown. It is characterized by calculating the correction amount using the formula that contains a sound factor.

  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 that corrects the plate shape of the plate, the calculation method comprising: a correction for correcting the tension applied to the metal plate by the tension leveler and the deviation amount This is a method for calculating the amount, which is calculated based on the target value of the elongation difference between two points arranged along the width direction of the metal plate and the shape of the metal plate corrected by the tension leveler. A difference calculating step of calculating a difference from an actual measurement value corresponding to the target value, an influence of the correction amount of the tension, and an influence of the correction amount of the deviation amount on the calculated difference. The influence coefficient is determined according to the type of the metal plate, and an equation including the determined influence coefficient is used, and based on the calculated difference, the tension correction amount and the And a correction amount calculation step of calculating a correction amount of the shift amount.

  According to one aspect of the present invention, a control value for controlling a tension leveler provided with a divided backup roll 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 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 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 performed 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 measured 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. When the operator manually adjusts the correction condition and corrects the entire coil length of the steel strip, the measured 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 from the correction start position to an end position about the absolute value of the difference of a target value.

  The 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, a tension leveler that is controlled using values (control value and correction amount) calculated by the arithmetic device is described. An outline of the shape correction equipment provided will be described with reference to FIGS. 1 and 2. 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 or the correction amount of the control value, each of the plurality of divided backup roll reduction adjusting devices 4 shifts the corresponding divided portion, and the crowning of the divided portion is performed. Adjust the amount.

  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 is installed on the exit side of the tension leveler 3 and detects the shape of the corrected metal plate 8, 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, the present inventors have found that the symmetric component of the thin plate after correction has a linear relationship with the tension and the crowning amount of the tension leveler 3, and the asymmetric component of the corrected thin plate is the crowning of the tension leveler 3. We found that there is a linear relationship with quantity. Then, by creating a mathematical model (corrected shape prediction formula) incorporating this linear relationship and correcting the control value of the tension leveler using the mathematical model, a thin plate having various shape defects can be obtained as a good plate. Realizing the correction to the shape.

  More specifically, for example, the shape detector 7 provided on the exit side of the tension leveler 3 is used to detect the shape of the thin plate after correction, and on the basis of the detected information, the symmetric component in the corrected shape and An actual measurement value of the asymmetric component can be calculated. Based on the measured value and the target value of the plate shape, the correction amount of the tension and the crowning amount can be calculated using the mathematical model. By correcting the control value of the tension leveler based on this correction amount, a thin plate having various shape defects can be corrected to a good plate shape.

  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, the definitions of the symmetric component and the asymmetric component in the corrected state of the metal plate 8 as a thin plate, and the measured value of the symmetric component and the measured value of the asymmetric component 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 an asymmetric component after correction, a measured value of the symmetric component, and a measured value of the asymmetric component 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.

(Measured value of the above symmetric component)
The shape of the corrected metal plate 8 is detected by using the shape detector 7 and is an actual measurement value calculated based on the detected information, and corresponds to the symmetrical component εe with respect to the corrected plate edge. The actual measurement value is εe ¹ (first actual measurement value based on the first combination). Specifically, using the shape detector 7, based on information obtained by detecting the shapes of the plate end on the work side, the plate end on the drive side, and the center of the plate width in the corrected metal plate 8, the above εe Measured value εe ¹ corresponding to. This εe ¹ is referred to as an actually measured value of a symmetric component with respect to the corrected plate end.

Further, the measured value corresponding to the symmetric component εq related to the corrected quarter part is defined as εq ¹ (first measured value based on the second combination). This εq ¹ is referred to as an actually measured value of the symmetric component with respect to the corrected quarter part.

(Measured value of the above asymmetric component)
The shape of the metal plate 8 after correction is detected using the shape detector 7, and is an actual measurement value calculated based on the detected information, and corresponds to the asymmetric component εe 'regarding the plate edge after correction. The actually measured value to be used is εe ′ ¹ (second measured value based on the first combination). This εe ′ ¹ is referred to as an actual measurement value of the asymmetric component with respect to the plate edge after correction.

Further, the actual measurement value corresponding to the asymmetric component εq ′ relating to the corrected quarter portion is εq ′ ¹ (second actual measurement value based on the second combination). The εq ^'1 is referred to as the measured value of the asymmetric component related quota portion after straightening.

  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. Εe, εq, εe ', and εq' are obtained by using the set plate end portion and quarter portion in common.

In addition, the shape detector 7 of the present embodiment detects the shape of the set plate end and quarter of the metal plate 8 and transmits the detected information to the process computer 6. Based on the detected information, εe ¹ , εq ¹ , εe ′ ¹ , and εq ′ ¹ 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.

  Further, the influence of the plate shape of the metal plate 8 before correction is reflected in the measured value of the plate shape of the metal plate 8 detected by the shape detector 7. Therefore, if the actual measurement value of the plate shape calculated based on the information detected by the shape detector 7 is taken into consideration, the influence of the plate shape of the metal plate 8 before correction need not be considered.

  In this case, the main factors affecting the shape change (main factors to be considered in the post-correction shape prediction formula) can be said to be 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 quantitative influence of the tension of the tension leveler 3 and the crowning amount of each divided portion by the divided backup roll reduction adjusting device 4 on the plate shape of the corrected metal plate 8 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 tension T on the symmetric component εe for the plate edge 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 . 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 regarding the plate end portion 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. 4A to 4D and FIG. 5 are graphs showing the influence of the crowning amount of each divided portion on the symmetric component εe regarding the plate edge 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. 4A 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. 4B 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 symmetrical component εe and the symmetrical component εq. It is. Figure. 4 (c), 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. 4D 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. 5 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. 4A, the symmetric component εe increases as the average value Cr ₁ increases, and the symmetric component εq hardly changes. This also applies to (b) and (c) of FIG. 4, 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. 4D, the symmetric component εe decreases as the average value Cr ₄ increases, and the symmetric component εq hardly changes. Further, as shown in FIG. 5, 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.

  FIGS. 6A to 6D are graphs showing the influence of the crowning amount of each divided portion on the asymmetric component εe ′ related to the plate edge after correction and the asymmetric component εq ′ related to the quarter portion.

FIG. 6A 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. 6B 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. 6A, both the asymmetric component εe ′ and the asymmetric component εq ′ increased as the crowning difference Cr ₁ ′ increased. As shown in FIGS. 6B and 6C, 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. 6D, the asymmetric component εq ′ increases with an increase in the crowning amount difference Cr ₄ ′, 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 relationships (increases in increase) in the above-described mutual relationships among the factors are ae, be _i, be _{s + 1} , aq, bq _i, bq _{s + 1} , ce _i , cq _i and To do. 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.

Here, since the elongation difference is not the absolute value of the difference in calculating the corrected symmetrical components εe and εq and the corrected asymmetric components εe ′ and εq ′ as defined above, the following calculation is performed. It is determined by Further, εe ¹ , εq ¹ , εe ′ ¹ , and εq ′ ¹ are obtained by the same calculation based on the information detected by the shape detector 7 for the corrected metal plate 8. Then, for the Cr _i and Cr _i ', and be determined by the following calculation.

In the metal plate 8 after correction, 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 elongation at the work side is the quarter. Let Eq _{W be} the rate and Eq _{D be} the growth rate of the quarter portion on the drive side. 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 = ((Ee _W −Ec) + (Ee _D −Ec)) / 2
εq = ((Eq _W −Ec) + (Eq _D −Ec)) / 2
εe ′ = Ee _W −Ee _D
εq ′ = Eq _W −Eq _{D
Cr i = (CA i + CA} n + 1-i) / 2 (i = 1,2,3, ··· s)
Cr _i ′ = CA _i −CA _{n + 1−i} (i = 1, 2, 3,... S)
Based on the actual measurement value calculated based on the information obtained by detecting the shape of the metal plate 8 after correction, the inventors of the tension leveler 3 use the mathematical models of the following formulas (1) to (4). It has been found that the plate shape of the corrected metal plate 8 can be predicted when the tension and the crowning amount are corrected.

Here, n is the number of division units in the division backup roll, and n = 2s + 1. s is an integer. Further, the influence coefficients ae, be _i, be _{s + 1} , aq, bq _i, bq _{s + 1} , ce _i , cq _i (i = 1, 2, 3,..., S) are the plate width and plate of the metal plate 8. A table may be set for each section of thickness, material (for example, metal type), or may be expressed as a function of various correction conditions.

ΔT is the amount of change (correction amount) in tension. ΔCr _i is a correction amount of an average value of the crowning amount of the i-th divided portion and the crowning amount of the (n + 1−i) -th divided portion from one end of the divided backup roll. ΔCr _{s + 1} is a correction amount of the crowning amount of the s + 1-th divided portion from one end of the divided backup roll. ΔCr _i ′ is a correction amount for the difference between the crowning amount of the i-th divided portion from one end of the divided backup roll and the crowning amount of the (n + 1−i) -th divided portion (i = 1, 2, 3, ..., s).

  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.

Further, the symmetric components εe and εq after correction, the asymmetric components εe ′ and εq ′ after correction, and Cr _i and Cr _i ′ related to the crowning amount may be obtained by calculation formulas other than the above. It is only necessary that the calculation rules are unified so that ΔT, ΔCr _i , ΔCr _{s + 1,} and ΔCr _i ′ can be obtained using the above formulas (1) to (4).

  In the shape control based on the shape detector 7 arranged on the exit side of the tension leveler 3 in the present embodiment, the shapes of a plurality of locations in the plate width direction of the metal plate 8 are continuously obtained using the shape detector 7. Detect and use the detected information. For example, the shape detector 7 detects the shapes of a total of five locations, ie, the plate end portion, the quarter portion, and the center of the plate width of the metal plate 8, and transmits the detected information to the process computer 6.

Using the detected information, calculates the measured value .epsilon.e 1 symmetric components associated plate end portion after ^{straightening,} found .epsilon.e the asymmetric component ^'1, symmetric element Ipushironq 1 relates quota portion in the measurement ^result, asymmetric component Ipushironq' ¹ To do. Then, the target value (first target value) of the symmetric component εe regarding the plate edge in the post-correction shape is εe ⁰ , the target value (second target value) of the asymmetric component εe ′ is εe ′ ⁰ , and the quarter portion in the post-correction shape Assuming that the target value (first target value) of the symmetric component εq is εq ⁰ and the target value (second target value) of the asymmetric component εq ′ is εq ′ ⁰ , the above formulas (1) and (2 ), And the above formula (3) and formula (4) as the second formula.

As a result, the tension change amount ΔT and the i-th and (n + 1−i) -th divided portions from one end of the divided backup roll are set so that the target values εe ⁰ , εe ′ ⁰ , εq ⁰ , and εq ′ ⁰ are obtained. The amount of change ΔCr _i of the average value of the crowning amount, the amount of change ΔCr _{s + 1} of the crowning amount of the divided portion s + 1 (center position) from one end of the divided backup roll, and the i-th and (n + 1−i) of one end of the divided backup roll It is possible to calculate the change amount ΔCr _i ′ of the difference in the crowning amount of the th division part. The control amount of the tension leveler 3 may be corrected based on the tension change amount ΔT, the average value change amount ΔCr _i , the crowning amount change amount ΔCr _{s + 1} , and the difference change amount ΔCr _i ′.

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

  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. 7 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. 7, 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.

  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 actual measurement value calculation unit 14. The main calculation unit 12 includes a difference calculation unit 12a and a correction amount calculation unit 12b. 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.

  Detailed descriptions of the influence coefficient determination unit 11, the main calculation unit 12, the device control unit 13, and the actual measurement value calculation unit 14 in the control unit 10 are values for controlling the tension leveler 3 executed by the process computer 6. This will be described later together with an example of the flow of processing to be calculated.

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

  The influence coefficient data 21 is a table in which the influence coefficients included in the above formulas (1) to (4) are set in association with the dimensions and materials (plate thickness, plate width, metal type) of the metal plate 8, or This is data in which a coefficient used for calculating an influence coefficient using a predetermined function according to the correction condition is stored. 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 correction conditions. The correction condition is not particularly limited, but various conditions are conceivable. Therefore, for simplification of description, not all specific examples are given here. For example, the number of rolls of the work rolls 31, the mesh, the rotational speed, the diameter, the friction coefficient, the curvature given to the metal plate 8, etc. is there. The control parameter 22 includes at least data relating to the dimensions and material of 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 difference in elongation is 0 at each location in the plate width direction), εe ⁰ , εe ′ ⁰ , εq ⁰ , and εq ′ ⁰ are all 0. There is a plate shape target value.

Here, the 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 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 will be described with reference to FIG. FIG. 8 is a flowchart illustrating an example of the flow of processing executed by the process computer 6.

  As shown in FIG. 8, 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).

Then, the user inputs plate shape target values εe ⁰ , εe ′ ⁰ , εq ⁰ , and εq ′ ⁰ that define the target plate shape of the metal plate 8 after correction by the tension leveler 3 to the input unit 5 b ( S2).

  The order of S1 and S2 is not limited. The data input in S1 and S2 is transmitted to the process computer 6 and stored as a 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 (S3: influence coefficient determination step). In this embodiment, since s = 4, influence coefficients ae, be _i, be _{s + 1} , aq, bq _i, bq _{s + 1} , ce _i , cq _i (i = 1, 2, 3, 4; s = 4) is determined.

  Thereafter, correction of the metal plate 8 is started (S4).

  During correction, the shape detector 7 detects the shape of a plurality of locations in the plate width direction of the corrected metal plate 8 (S5). In the present embodiment, the shape detector 7 detects the shape of the work side plate end and quarter of the metal plate 8, the drive side plate end and quarter, and the shape of a total of five locations in the center of the plate width. Information detected by the shape detector 7 is transmitted to the actual measurement value calculation unit 14. The information detected by the shape detector 7 may be an elongation rate or information for calculating the elongation rate.

Based on the received information, the actual measurement value calculation unit 14 calculates an elongation rate difference between a plurality of locations in the plate width direction of the corrected metal plate 8 and an average actual measurement value of the elongation rate difference (S6). In the present embodiment, the actual measured values εe ¹ , εq ¹ , εe ′ ¹ , and εq ′ ¹ of the plate shape of the corrected metal plate 8 are calculated based on the information on the five locations. Then, these calculated actual values are transmitted to the main calculation unit 12.

Next, the difference calculation unit 12 a of the main calculation unit 12 receives the plate shape target values εe ⁰ , εe ′ ⁰ , εq ⁰ , and εq ′ ⁰ stored in the control parameter 22 from the actual measurement value calculation unit 14. Based on the actual measurement values εe ¹ , εq ¹ , εe ′ ¹ , and εq ′ ¹ , a difference between the corresponding target value and the actual measurement value is calculated (S 7: difference calculation step).

  Then, the correction amount calculation unit 12b of the main calculation unit 12 uses the above formulas (1) to (4) based on the calculated difference value and the influence coefficient determined by the influence coefficient determination unit 11. By solving the simultaneous equations, the correction amount of tension and the correction amount of the crowning amount of each of the dividing units 341 to 349 are calculated (S8: correction amount calculation step). In addition, the method of calculating | requiring the solution of said Formula (1)-(4) is not specifically limited, What is necessary is just to use a known method. 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. The calculated correction amount of the tension T and the correction amount of the crowning amount of each of the dividing units 341 to 349 may be within the specification range.

  Then, the device control unit 13 controls the tension applying device 2 using the calculated correction amount of the tension T, and uses the calculated correction amounts of the crowning amounts of the dividing units 341 to 349 to reduce the divided backup roll pressure. The adjustment device 4 is controlled (S9).

  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. Then, the correction amount of the control value of the tension leveler 3 appropriate for making the metal plate 8 having various shape defects the desired plate shape (desired target value), and the plate shape of the corrected metal plate 8 are set. Based on the difference in elongation at a plurality of locations in the plate width direction detected and calculated, it can be calculated during correction using the above formulas (1) to (4).

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

  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.

(Example)
One example and a comparative example of the present invention will be described below with reference to FIGS. 9 and 10.

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 target values εe ⁰ and εq ⁰ of the symmetric component of the corrected shape are set to 8 Unit and 3 Unit, respectively, and the target values εe ′ ⁰ and εq ′ ⁰ of the asymmetric component of the corrected shape are both set to ⁰ Unit.

  Using the shape detector 7, the shape of the work side plate end and quarter of the metal plate 8 after correction by the tension leveler 3, the drive side plate end and quarter, and the shape of the center of the plate width in total of 5 locations are obtained. Detected. While calculating the elongation rate of each part in the plate | board width direction of the metal plate 8 after correction | amendment, the correction amount of each crowning amount of tension | tensile_strength T and the division parts 341-349 is calculated, and tension | tensile_strength and crowning amount based on this correction amount Adjusted.

  For comparison, based on the shape information detected by the shape detector 7, the operator changes the tension T and the crowning amount of each of the dividing units 341 to 349 to correct the shape of the same coil as described above. went.

  When shape correction is performed using the shape correction facility 1 of the present embodiment, as shown in FIG. 9, when the shape correction is started, the measured values and target values of the symmetric components εe and εq of the corrected shape are obtained. The absolute values of the differences were 16 Iunit and 13 Iunit, respectively, but after that the difference decreased and became stable. In a stable state, the absolute value of the difference between the measured value and the target value of the symmetrical components εe and εq of the corrected shape was all within 5 Units.

  On the other hand, when the operator adjusts the correction condition based on the shape information detected by the shape detector 7, as shown in FIG. 10, the symmetrical component of the shape after correction is started when the shape correction is started. The absolute values of the difference between the actually measured values and the target values of εe and εq were large as 18 Iunit and 12 Iunit, respectively, and then decreased, but did not fall within 5 Units.

(Modification)
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 actual value calculation unit 14) are logic circuits (hardware) formed in an integrated circuit (IC chip) or the like. ) Or by 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: Divided backup roll pressure reduction device 6: Process computer (computing device)
7: Shape detector 8: Metal plate 12: Main calculation unit (calculation unit)
34: Lower backup roll (split backup roll)
341-349: Dividing part

Claims (9)

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 a correction amount for correcting the tension applied to the metal plate by the tension leveler and the shift amount;
The calculation unit is calculated based on a target value of an elongation difference between two points arranged along the width direction of the metal plate and a shape of the metal plate corrected by the tension leveler. Calculating the correction amount using a mathematical formula including an influence coefficient indicating the degree of influence of the correction amount of the tension and the influence of the correction amount of the shift amount on the difference from the actually measured value corresponding to the value. An arithmetic unit characterized by the above. The calculation unit calculates the correction amount 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 The first target value is the target value for the average value of the second elongation difference between the center of the plate and the center of the plate width, and the average value calculated based on the shape of the corrected metal plate is a first actual measurement. Value and
The first equation includes an influence coefficient that indicates an influence degree of the correction amount of the tension and an influence degree of the correction amount of the shift amount on the difference between the first target value and the first actual measurement value. ,
The target value of the third elongation difference between the one point and the other point is set as the second target value, and the third elongation difference calculated based on the shape of the corrected metal plate is the first value. 2 Measured value,
The said 2nd type | formula includes the influence coefficient which shows the influence degree of the correction amount of the said deviation | shift amount which influences the difference of the said 2nd target value and the said 2nd actual value. The computing device described. Each of the plurality of divided backup rolls has n (n = 2s + 1, s is an integer) divided units,
The first equation is a correction amount of 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. In addition, each of the divided backup rolls includes an influence coefficient indicating the degree of influence of the correction amount of the deviation amount of the (s + 1) -th divided portion from one end of the divided backup roll,
The second equation is a correction amount for a difference (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, Including an influence coefficient indicating the degree of influence of
The calculation unit calculates a deviation amount (n = 1, 2, 3,..., 2s + 1) of the n-th division unit from one end of each of the plurality of divided backup rolls as a correction amount of the deviation amount. The arithmetic unit according to claim 2, wherein each of the correction amounts is calculated. 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 ⁰ : the first target value based on the first combination εq ⁰ : the first target value based on the second combination εe ¹ : the first measured value based on the first combination εq ¹ : the first The first measured value based on the combination of 2 ΔT: Tension correction amount n: Number of divided parts of the divided backup roll (n = 2s + 1, s is an integer)
ΔCr _i : Correction amount of an average value of deviation amounts of the i-th and (n + 1−i) -th divided portions from one end of the divided backup roll ΔCr _{s + 1} : Deviation of the s + 1-th divided portion from one end of the divided backup roll Correction amount ae, be _i, be _{s + 1} , aq, bq _i, bq _{s + 1} : influence coefficients) The arithmetic unit according to claim 4, wherein the second equation is expressed by the following equations (3) and (4).

(here,
εe ′ ⁰ : the second target value based on the first combination εq ′ ⁰ : the second target value based on the second combination εe ′ ¹ : the second actual value based on the first combination εq ′ ¹ : the second actual measurement value based on the second combination n: the number of divided parts of the divided backup roll (n = 2s + 1, s is an integer)
ΔCr _i ′: correction amount of difference between deviation amounts of i-th and (n + 1−i) -th divided portions from one end of the divided backup roll ce _i, cq _i : influence coefficient) 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 correction amount for correcting the shift amount,
The actual value corresponding to the target value calculated based on the target value of the elongation difference between two points arranged along the width direction of the metal plate and the shape of the metal plate corrected by the tension leveler. A difference calculating step for calculating a difference from the value;
An influence coefficient determining step of determining an influence coefficient indicating the influence degree of the correction amount of the tension and the influence degree of the correction amount of the shift amount on the calculated difference, depending on the type of the metal plate;
A correction amount calculating step of calculating a correction amount of the tension and a correction amount of the shift amount based on the calculated difference using a mathematical expression including the determined influence coefficient. Calculation method.   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.   A computer-readable recording medium on which the information processing program according to claim 8 is recorded.

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