JP6870358B2 - Arithmetic logic unit and arithmetic method - Google Patents

Description

The present invention relates to an arithmetic unit and an arithmetic 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 the shape control in the rolling process is limited. The rolled metal strip often has shape defects such as ear elongation, medium elongation, quarter elongation, or composite elongation in which various elongations are intricately combined.

Tension levelers are often used as a means for correcting such shape defects and processing a metal band into a flat plate shape. The tension leveler is a facility that repeatedly bends a metal strip by applying a plurality of work rolls arranged above and below the metal strip while applying tensile stress (tension) to the metal strip. Generally, in the tension leveler, a work roll having a small diameter is used in order to impart plastic deformation in the bending process. Further, the thinner the metal strip, the smaller the roll diameter of the work roll is required. In straightening thin plates, small diameter work rolls with a roll diameter of 30 mm or less may be used.

Using such a tension leveler, the shape of the rolled metal strip (hereinafter, may be referred to as a pre-straightening original plate) is straightened. Here, in order to sufficiently correct the pre-straightening original plate in response to various shape defects, it is generally required to impart a high elongation rate of 0.2% or more to the pre-straightening original plate. However, in this case, the shape of the metal band tends to deteriorate due to the bending of the work roll having a small diameter.

The tension leveler is often configured to support the 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. Therefore, a divided backup roll reduction adjusting device has been developed that can individually adjust the crowning amount (shift amount) of each divided portion by individually reducing each divided portion in the divided backup roll having a plurality of divided portions. There is.

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

In the method described in Patent Document 1, the stress distribution in the width direction of the plate material is obtained by using the stress measuring means juxtaposed in the width direction of the plate material, and the leveler condition is controlled based on the stress distribution. More specifically, the stress measuring means is used to measure the average stress of the plate material in the plate thickness direction at each of the plurality of locations in the width direction of the plate material. 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 represented as an upwardly convex curve. On the other hand, for example, a plate material in which medium elongation occurs is represented as a downwardly convex curve. That is, the shape (degree of stress distribution) of the plate material is represented by the unevenness of such a curve and its size.

Japanese Unexamined Patent Publication No. 2002-282942 (published on October 2, 2002)

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

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

In order to solve the above problems, the arithmetic unit 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 offset portion is displaced with respect to the metal plate. An arithmetic device that calculates a control value for controlling a tension leveler that corrects the plate shape of the metal plate by controlling the amount, and controls the tension applied to the metal plate by the tension leveler and the offset amount. A calculation unit for calculating a value is provided, and the calculation unit affects the target value of the elongation rate difference between two points arranged along the width direction of the metal plate, (i) the degree of influence of the tension, (ii). Using a mathematical formula containing a plurality of influence coefficients indicating the degree of influence of the offset amount and (iii) the degree of influence based on the shape of the metal plate before being corrected by the tension leveler, the formula is used. The control value is calculated so that the indicated target value becomes a preset target value.

The calculation method in 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 controls the deviation amount of the divided portions with respect to the metal plate to control the metal plate. It is a calculation method for calculating a control value for controlling a tension leveler for correcting a plate shape of the above, and the calculation method calculates a control value for the tension applied to the metal plate by the tension leveler and the offset amount. The method is a pre-correction shape calculation step of calculating a pre-correction shape represented by an elongation rate difference between two points arranged along the width direction in the metal plate before being straightened by the tension leveler. It affects the target value setting step of setting the set target value for the shape of the metal plate after straightening and the target value of the elongation rate difference between the two points arranged along the width direction of the metal plate (i). An influence coefficient that determines the degree of influence of tension, (ii) the degree of influence of the offset amount, and (iii) the degree of influence of the calculated pre-correction shape, respectively, according to the type of the metal plate. The determination step includes a control value calculation step of calculating the control value of the tension and the offset amount based on the set target value by using the determined mathematical formula including the influence coefficient.

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 a schematic diagram which shows the structure of the shape correction equipment provided with the tension leveler which is controlled using the value calculated by the arithmetic unit in one Embodiment of this invention. It is a figure which shows typically the structure of each roll when the roller leveler provided with the said tension leveler is seen from the direction through which a metal plate passes. It is a graph which shows the influence of the symmetric component ζ e about the plate end part before straightening on the symmetric component εe about the plate end part after straightening. It is a graph which shows the influence of the symmetric component ζ q about the quarter part before correction on the symmetric component εq about the quarter part after correction. It is a graph which shows the influence of the tension T on the symmetric component εe about a plate end portion after straightening and the symmetric component εq about a quarter portion. It is a graph which shows the influence of the crowning amount of each division part on the symmetry component εe about a plate end part after straightening and the symmetry component εq about a quarter part, and (a) to (d) are the first from the work side respectively. _{Average value Cr 1} of the crowning amount of the divided part and the 9th divided part, _{Cr 2} of the average value of the crowning amount of the second divided part and the 8th divided part from the work side, the third divided part and 7 from the work side. It is a graph which shows the influence of _{the average value Cr 3} of the crowning amount of the _{3rd division part, and the average value Cr 4} of the average value Cr 4 of the crowning amount of the 4th division part and the 6th division part from the work side. It is a graph which shows the influence _{of the crowning amount Cr 5} of the 5th division part from a work side on the symmetry component εe about a plate end part after straightening and the symmetry component εq about a quarter part. It is a graph which shows the influence of the asymmetric component ζ e'about the plate edge part before straightening on the asymmetric component εe' about the plate edge part after straightening. It is a graph which shows the influence of the asymmetric component ζ q'about the quarter part before correction on the asymmetric component εq' about the quarter part after correction. It is a graph which shows the influence of the crowning amount of each division part on the asymmetric component εe' about the plate end part after straightening and the asymmetric component εq' about a quarter part, and (a) to (d) are 1 from the work side respectively. Difference in crowning amount between the 9th and 9th divisions Cr ₁ ', difference in crowning amount between the 2nd and 8th divisions _{from the work side Cr 2} ', 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 including the shape straightening equipment. It is a flowchart which shows an example of the flow of the arithmetic processing executed by the said process computer based on the measured value of the plate shape before the start of correction. FIG. 5 is a flowchart showing an example of a flow of arithmetic processing executed by a process computer according to another embodiment of the present invention based on information acquired from a shape detector. In the embodiment of the present invention, when the entire length of the coil of the steel strip is straightened, the actual values and target values of the symmetric components εe and εq and the asymmetrical components εe'and εq'of the shape after the straightening of the steel strip are obtained. It is a graph which shows the transition from the correction start position to the correction end position about the absolute value of the difference of. When the straightening conditions are manually adjusted by the operator to straighten the entire length of the coil of the steel strip, the actual values of the symmetric components εe and εq and the asymmetrical components εe'and εq' of the straightened shape of the steel strip. It is a graph which shows the transition from the correction start position to the correction end position about the absolute value of the difference between and a target value.

[Embodiment 1]
An embodiment of the present invention will be described below with reference to FIGS. 1 to 15. The following description is for better understanding of the gist of the invention and does not limit the present invention unless otherwise specified. Further, in the present specification, "A to B" indicates that it is A or more and B or less.

In the following description, in order to facilitate understanding of the arithmetic unit according to one aspect of the present invention, first, an outline of a shape correction equipment provided with a tension leveler in which control is performed using the value calculated by the arithmetic unit will be described. , 1 and 2 will be described. Next, the findings of the present invention will be schematically described, and then the mathematical model used by the arithmetic unit and the shape control using the mathematical model will be described in detail.

(Rough configuration of shape correction equipment)
FIG. 1 is a schematic view showing a configuration of a shape correction facility 1 including a tension leveler 3 for which control is performed using a value calculated by an arithmetic unit according to the present embodiment. The shape straightening equipment 1 is equipment for correcting the shape defect of the metal plate 8, and is installed in a process after the recoiler, the anchorer, or the rolling equipment.

The metal plate 8 is, for example, a steel strip unwound from a coil of a thin steel strip. Further, the metal plate 8 may be a metal strip sent from a rolling equipment (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 arranged on both sides (upper and lower sides of the metal plate 8) of the metal plate 8 in the thickness direction, an intermediate roll 32 that supports the work roll 31, and a work roll 31 via the intermediate roll 32. It is provided with an upper backup roll (split backup roll) 33 and a lower backup roll (split backup roll) 34 that support the above. 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 direction to the right direction to correct the shape.

In the roller leveler 30 of the present embodiment, the upper side of the metal plate 8 is composed of 11 work rolls 31, 12 intermediate rolls 32, and 11 upper backup rolls 33, and the lower side is 12 work rolls. It is composed of 31, 13 intermediate rolls 32, and 12 lower backup rolls 34.

FIG. 2 is a diagram schematically showing 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 11 upper backup rolls 33 and the 12 lower backup rolls 34 are each evenly divided into 9, and include nine divisions. The divided portions constituting the lower backup roll 34 are divided portions 341 to 349 in order from the work side to the drive side.

Here, the drive side is the side of the roller leveler 30 where a motor (not shown) for rotating the work roll 31 is provided, and the work side is the side opposite to the drive side with the roller leveler 30 in between. Is.

The split backup roll may be provided on at least one of the upper and lower sides of the metal plate 8, and any one of the upper backup roll 33 and the lower backup roll 34 may be the split backup roll. That is, the tension leveler 3 has a plurality of divided portions arranged in the axial direction, and is provided with 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 division backup roll is not particularly limited, and any division backup roll may be configured to include n division portions (n = 2s + 1, s is an integer).

The tension applying device 2 included 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 only needs to be able to adjust the tension applied to the metal plate 8, and the specific embodiment is not particularly limited.

Further, the shape correction equipment 1 includes a split backup roll reduction adjustment device (control mechanism) 4, a shape detector 7, and a process computer (arithmetic unit) 6.

The divided backup roll reduction adjusting device 4 of the present embodiment reduces and opens each divided portion of the 12 lower backup rolls 34 evenly divided into nine, and adjusts the crowning amount of each divided portion. To do. In this case, each divided portion is provided with a drive mechanism that is controlled by the divided backup roll reduction adjusting device 4 to shift the divided portion.

A plurality of divided backup roll reduction adjusting devices 4 may be provided for each divided portion of the divided 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, pressing down the split portion of the lower backup roll 34 means shifting the split portion vertically upward, and opening means shifting the split portion vertically downward. The crowning amount of the divided portion means the offset amount of the divided portion (for example, the unit is mm). 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 the offset amount with respect to the metal plate. When the metal plate 8 is straightened, reducing and opening each divided portion means that the divided portion is displaced with respect to the metal plate 8, and the work roll 31 is bent due to the deviation of the divided portion. Can be corrected.

Further, the split backup roll reduction adjusting device 4 controls the crowning amount of each of the split portions (12 × 9 split portions) of the 12 lower backup rolls 34 as follows. That is, each of the 12 lower backup rolls 34 is provided with split portions 341 to 349. For example, when the crowning amount of the split portions 341 is x (mm), the split backup roll reduction adjusting device 4 has 12 rolls. The crowning amount of the 12 divided portions 341 of the lower backup roll 34 is controlled to be x (mm). Similarly for the other divisions 342 to 349, the 12 divisions of the 12 lower backup rolls 34 are equally controlled with the same crowning amount. That is, the split backup roll reduction adjusting device 4 controls so as to give the same offset amount to the nth split portion from one end in each of the 12 lower backup rolls 34.

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

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, which will be described in detail later.

Further, the shape straightening equipment 1 includes a higher-level 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) for displaying control parameters and the like, and an input unit 5b (for example, a mouse and a keyboard) for receiving input for changing control parameters. ..

As will be described in detail later, the arithmetic unit according to one aspect of the present invention can be realized as an apparatus included in the process computer 6.

(Summary explanation of findings of the invention)
Hereinafter, the technical concept of the arithmetic unit according to one aspect of the present invention will be described by taking the shape correction equipment 1 as an example. Although the shape correction equipment 1 described above 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. Further, the present invention can be applied even if the configuration does not include the intermediate roll 32.

The arithmetic unit according to one aspect of the present invention is intended for a thin plate having a plate 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. Further, the shape correction equipment 1 in which the arithmetic unit according to one aspect of the present invention is used may include a work roll 31 having a roll diameter of 30 mm or less, for example, a work roll 31 having a roll diameter of 16 mm.

In general, a thin plate formed by rolling or the like causes not only simple shape defects such as ear elongation and medium elongation, but also quarter elongation and composite elongation in which various elongations are complicatedly combined. The quarter elongation means that the elongation rate of the quarter portion is larger than that of the center of the 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 indexes. Therefore, the plate shape is evaluated by using the elongation ratios at a plurality of locations where the distances from the plate end portions in the plate width direction (also referred to as the width direction) are different.

The present inventors evaluate the plate shape by a component symmetrical to the center of the plate width (symmetrical component) and a component asymmetrical to the center of the plate width (asymmetrical component) by using the elongation ratios of the thin plate at the plurality of locations. When we decided to do so, we obtained the following new findings.

That is, it was found that the symmetric component of the thin plate after straightening has a linear relationship with the symmetric component of the thin plate before straightening and the tension and crowning amount of the tension leveler 3. It was also found that the asymmetrical component of the thin sheet after straightening has a linear relationship with the asymmetrical component of the thin sheet before straightening and the crowning amount. Then, a mathematical model incorporating this linear relationship was created, and by using the mathematical model, it was realized that a thin plate having various shape defects could be corrected into a good plate shape from the start of leveler correction. A good plate shape is the difference in elongation between the elongation at the end of the plate and the elongation at the center of the width, and the difference in elongation between the elongation at the quarter and the elongation at the center of the width. Means that is small and the plate shape is flat. This new finding will be described in order with reference to the shape straightening equipment 1 shown in FIG.

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

(Symmetrical component after correction)
As a value indicating the above-mentioned symmetric component in the state after straightening, the difference in elongation rate between one of the two points arranged along the plate width direction and symmetrical to the center of the plate width and the center of the plate width (the first). The average value of (1 elongation rate difference) and the elongation rate difference (second elongation rate difference) between the other point of the above two points and the center of the plate width is used. The pair of two points symmetrical to the center of the plate width includes (i) a pair of a plate end portion on the work side and a plate end portion on the drive side (first combination), and (ii) a quarter portion on the work side. A set (second combination) with a quarter portion on the drive side is included. This also applies to the asymmetrical component after correction and the symmetric / asymmetrical component before correction, which will be described later.

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

Further, in the metal plate 8 after straightening, the elongation rate difference between the elongation rate of the quarter portion on the work side and the elongation rate at the center of the plate width, and the elongation rate of the quarter portion and the elongation rate at the center of the plate width on the drive side. Let εq be the average value with the difference in growth rate between. This εq is referred to as a symmetric component with respect to the corrected quarter portion.

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

Specifically, the difference in elongation rate 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 of the straightened metal plate 8 is defined as εe'. This εe'is referred to as an asymmetric component relating to the plate edge after correction. Further, in the metal plate 8 after straightening, the difference in elongation rate between the elongation rate of the quarter portion on the work side and the elongation rate of the quarter portion on the drive side is defined as εq'. This εq'is referred to as an asymmetric component relating to the corrected quarter portion.

(Symmetric component before correction)
As values indicating the symmetric component in the state before correction, the elongation rate difference (first elongation rate 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 rate difference (second elongation rate difference) between the other point of the points and the center of the plate width is used.

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

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

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

Specifically, the difference in elongation rate 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 of the metal plate 8 before straightening is defined as ζe'. This ζ e'is referred to as an asymmetric component relating to the plate edge before straightening.

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

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

Factors that affect the plate shape of the metal plate 8 after straightening include the dimensions, material (deformation resistance, etc.) of the metal plate 8, the plate shape before straightening, and the intermesh, tension, and division of the tension leveler 3. There is a crowning amount of each divided portion by the backup roll reduction adjusting device 4, and the like. Of these, the dimensions and materials of the metal plate 8 are classified by plate thickness, plate width, and metal type, so that changes in dimensions and materials within the classification can be seen in the plate shape of the metal plate 8 after correction. The effect on can be reduced. Further, from the viewpoint of stabilizing the warp of the metal plate 8, the intermesh of the tension leveler 3 is fixed and the leveler is corrected.

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 straightening, the tension of the tension leveler 3, and the crowning amount of each divided portion by the divided backup roll reduction adjusting device 4. .. Therefore, the plate shape of the metal plate 8 before straightening, the tension of the tension leveler 3, and the crowning amount of each divided portion by the split backup roll reduction adjusting device 4 quantitatively affect the plate shape of the metal plate 8 after straightening. The impact was examined.

The results obtained by the studies by the present inventors will be described below with reference to FIGS. 3 to 10. In the following description, the correction conditions other than the fluctuation parameters shown in the respective figures are fixed.

FIG. 3 is a graph showing the effect of the symmetric component ζ e on the plate edge before straightening on the symmetric component εe with respect to the plate edge after straightening. The growth rate difference was ^{in units of 10-5} , and this unit was indicated by Unit (similarly, in the following description, Unit is a unit representing ^10-5). As shown in FIG. 3, the symmetric component εe with respect to the plate end portion after straightening has a linear relationship with the symmetric component ζe with respect to the plate end portion before straightening. Due to the correction effect, the amount of change in the symmetric component εe is smaller than the amount of change in the symmetric component ζe.

FIG. 4 is a graph showing the effect of the symmetric component ζ q on the quarter portion before correction on the symmetric component εq with respect to the quarter portion after correction. As shown in FIG. 4, the symmetric component εq with respect to the quarter portion after correction has a linear relationship with the symmetric component ζ q with respect to the quarter portion before correction. Due to the correction effect, the amount of change in the symmetric component εq is smaller than the amount of change in the symmetric component ζq.

FIG. 5 is a graph showing the effect of tension T on the symmetric component εe related to the plate edge portion and the symmetric component εq related to the quarter portion after straightening. The tension T means the tension applied to the metal plate 8 by the tension applying device 2. The unit of tension T is, for example, N / mm ² . As shown in FIG. 5, both the symmetric component εe related to the plate end portion and the symmetric component εq related to the quarter portion after straightening decrease with increasing tension T and have a substantially linear relationship with tension T. The range of the tension T is not particularly limited, but 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 all have a substantially linear relationship. ..

6 (a) to 6 (d) and FIG. 7 are graphs showing the influence of the crowning amount of each divided portion on the symmetric component εe relating to the plate end portion and the symmetric component εq relating to the quarter portion after correction. 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 division portion 341 and the crowning amount of the ninth division portion 349 from the work side on the symmetry component εe and the symmetry component εq. Is. FIG. 6B is a graph showing the effect _{of the average value Cr 2} of the crowning amount of the second division portion 342 from the work side and the crowning amount of the eighth division portion 348 on the symmetry component εe and the symmetry component εq. Is. FIG. 6 (c) is a graph showing the effect _{of the average value Cr 3} of the crowning amount of the third division portion 343 and the crowning amount of the seventh division portion 347 on the symmetry component εe and the symmetry component εq. Is. FIG. 6D is a graph showing the influence _{of the average value Cr 4} of the crowning amount of the fourth division portion 344 from the work side and the crowning amount of the sixth division portion 346 on the symmetry component εe and the symmetry component εq. Is. FIG. 7 is a graph showing the effect _{of the crowning amount Cr 5} of the fifth divided 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. This also applies to (b) and (c) of FIG. 6, and the symmetric component εe increases with the increase of the _{average value Cr 2} or the average value Cr _{3, 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 split portion 345 increased.}

In this way, the degree of influence of the crowning amount of the divided portion differs depending on the position of the divided portion on the divided backup roll, but the symmetric component εe and the symmetric component εq have an average value Cr ₁ , an average value Cr ₂ , and an average value Cr _{3, respectively.} , The average value Cr ₄ , and the crowning amount Cr ₅ are in a linear relationship.

_{That is, in the divided backup roll having n (n = 2s + 1, s is an integer) divided portions, the average value Cr i} (the average value of the crowning amount of the i-th and (n + 1-i) th divided portions from one end of the divided backup roll Cr i ( i = 1, 2, 3, ..., S) and the crowning amount Cr _{s + 1} of the s + 1th 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 effect of the asymmetric component ζ e'on the plate edge before straightening on the asymmetric component εe'with respect to the plate edge after straightening. As shown in FIG. 8, the asymmetric component εe'related to the plate end portion after straightening has a linear relationship with the asymmetric component ζ e'related to the plate end portion before straightening. Due to the correction effect, the amount of change in the asymmetric component εe'is smaller than the amount of change in the asymmetric component ζ e'.

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

10 (a) to 10 (d) are graphs showing the influence of the crowning amount of each divided portion on the asymmetric component εe'related to the plate end portion and the asymmetric component εq'related to the quarter portion after correction.

(A) of FIG. 10, on the asymmetric component .epsilon.e 'and the asymmetric component Ipushironq', the difference Cr ₁ between the crowning amount of the crowning amount and 9 th divided portion 349 of the first divided portion 341 from the workpiece side ' It is a graph which shows the influence of. Figure (b) of 10, on the asymmetric component .epsilon.e 'and the asymmetric component Ipushironq', the difference Cr ₂ between the crowning amount of the crowning amount and the 8 th division section 348 of the second division part 342 from the workpiece side ' It is a graph which shows the influence of. (C) in FIG. 6, on the asymmetric component .epsilon.e 'and the asymmetric component Ipushironq', the difference Cr ₃ between the crowning amount and seventh crowning amount of division 347 of the third division 343 from the workpiece side ' It is a graph which shows the influence of. FIG. 6 (d) is on the asymmetric component .epsilon.e 'and the asymmetric component Ipushironq', the difference Cr ₄ between the crowning amount of the crowning amount and the sixth division 346 of the fourth division part 344 from the workpiece side ' It is a graph which shows the influence of.

As shown in (a) of FIG. 10, _'with the increase of the asymmetric component .epsilon.e' crowning amount of the difference Cr 1 and asymmetric component Ipushironq 'are both increased. As shown in (b) and (c) of FIG. 10, with the increase of the crowning amount difference Cr 2 _'or difference Cr _3' of, 'it reduces the asymmetric component Ipushironq' asymmetric component εe hardly changes. Further, as shown in (d) of FIG. 10, an increase in _'asymmetric component εq with increasing' crowning amount of the difference Cr 4, asymmetric component .epsilon.e 'hardly changes.

As described above, the degree of influence of the crowning amount of the divided portion differs depending on the position of the divided portion on the divided backup roll, but the asymmetric component εe'and the asymmetric component εq' are the differences in the crowning amount Cr ₁ ', Cr ₂ ', respectively. cr ₃ ', and cr _4' to be in a linear relationship.

That is, in a divided backup roll having n (n = 2s + 1, s is an integer) divided portions, the difference in crowning amount between the i-th and (n + 1-i) th divided portions from one end of the divided backup roll Cr _i '( i = 1, 2, 3, ..., S) have a linear relationship with the asymmetric component εe'and the asymmetric component εq', respectively.

From the mutual relationship of each of the above factors, the present inventors have found the following. That is, first, the influence coefficients representing the respective linear relationships (slopes of increase) in the mutual relationships of the above factors are set to ae, be, ce _i, ce _{s + 1} , de, ee, fe _i , aq, bq, cq. _{i, cq s + 1, dq} , eq, and fq _i. When the intermesh of the tension leveler 3 is fixed, these influence coefficients can be determined based on the plate thickness, plate width, metal type, and the like of the metal plate 8. The present inventors have found that the plate shape of the metal plate 8 after straightening can be predicted by using the mathematical models of the following equations (1) to (4).

Here, n is the number of divided portions in the divided 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 as a table for each category such as the plate width, plate thickness, and material (for example, metal type) of the metal plate 8, or may be mathematically expressed as a function of various correction conditions.

The above equations (1) and (2) as the first equation show εe and εq as the first target value, and the above equations (3) and (4) as the second equation are the second target values. Εe'and εq' are shown as. It can be said that 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.

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

Even if the backup rolls have different number of divisions (number of divisions), the above equations (1) to (4) are valid by changing the value of s.

Further, when s = 4 and n = 9, each value in the mathematical model of the above equations (1) to (4) can be specifically calculated as follows, for example. Here, in the metal plate 8 after straightening, the elongation rate _{of the plate end portion on the work side is E E W} , the elongation ratio of the plate end portion on the drive side is _{E E D} , the elongation ratio at the center of the plate width is Ec, and the quarter on the work side. The elongation rate of the part is expressed _{by Eq W} , and the elongation rate of the quarter part on the drive side is _{expressed by Eq D.} Further, the crowning amount of the i-th divided portion _{from the work side is expressed as CA i} , and the crowning amount of the (n + 1-i) th divided portion from the work side is expressed as _{CA n + 1-i.}

εe represents a symmetric component with respect to the plate end portion of the straightened 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 with respect 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 straightened metal plate 8, and is specifically represented by the following equation (7).
εe'= Ee _{W -Ee D} (7).

εq'represents an asymmetric component relating to the quarter portion of the corrected metal plate 8, and is specifically represented by the following formula (8).
εq'= Eq _{W − Eq D} (8).

ζe, ζq, ζe', and ζq'can be calculated by performing the same calculation on the metal plate 8 before straightening so as to correspond to the above-mentioned εe, εq, εe', and εq', respectively.

Cr _i relates to a parameter defined by the average value of the crowning amounts of the two divisions symmetrical to the central division in the n divisions, and is specifically represented by the following equation (9). Will be done.
Cr _i = (CA _i + CA _{n + 1-i} ) / 2 (i = 1, 2, 3, ... s) (9).

Cr i _'is the n number of segmented portions, relates parameters defined by the difference in the crowning amount of symmetrical two divided portions at the center of the dividing portion, the table by the following formula (10) specifically Will be 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 starting the straightening of the metal plate 8, the elongation rate at a plurality of points 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 the elongation rates at a total of five points at the plate end portion, the quarter portion, and the center of the plate width at the straightening start portion in the longitudinal direction of the metal plate 8 can be used. For example, the elongation rate of the plurality of locations may be measured before installing the metal plate 8 on the tension leveler 3, or when the coil of the metal plate 8 is manufactured, the portion of the portion at the end of winding of the coil may be measured. It is also possible to measure the elongation rate and use the measured value. This is because in the straightening step, straightening is started from the winding end portion of the coil. Alternatively, the data of the measured values measured by using the shape detector 7 described later is accumulated and statistically processed, and the most appropriate (frequently) elongation rate at a plurality of points in the plate width direction of the metal plate 8 is used. You may.

Further, in the shape control based on the shape detector 7 arranged on the entry side of the tension leveler 3, the shape detector 7 is used to continuously measure a plurality of points in the plate width direction of the metal plate 8 and measure the measurement. Values can be used. Specifically, the shape detector 7 measures, for example, a total of five points of the plate edge 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 above measured values, the symmetric component ζ e and the asymmetric component ζ e'related to the plate end portion before correction, the symmetric component ζ q and the asymmetric component ζ q'related to the quarter portion before correction are calculated.

The arithmetic unit according to one aspect of the present invention uses the above-mentioned initial setting or calculated ζe, ζe', ζq, ζq'. Then, the set target value of the symmetric component εe regarding the plate edge after correction 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 regarding the quarter portion in the corrected shape is εq ^0. , The setting target value of the asymmetric component εq'is set to εq' ⁰ , and is 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.

Thus, in the relation expression of Expression (1) to (4), each set target value ^{εe 0, εe '0, εq} 0, εq' As will be ^0, i-th and the tension T, one end of the split backup rolls (n + 1-i) th average value Cr i crowning amount of the divided _portion, from one end s + 1 th divided backup roll (center position) i-th and the crowning amount Cr s _{+ 1,} and one end of the split backup rolls divided part ( n + 1-i) th division section of the crowning amount of the difference Cr i _'can be calculated. The initial setting value of the tension leveler 3 may be calculated and controlled based on the calculated tension T, the average value Cr _i , the crowning amount Cr _{s + 1} , and the difference Cr _i'.

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

Here, in the conventional method described in Patent Document 1 described above, the shape straightening equipment (line) for correcting the shape of the plate material using the tension leveler is in operation, or at least when 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, it is difficult to use the method described in Patent Document 1 for the initial setting of the leveler condition, the initial setting of the leveler condition is not appropriate, it takes time for the leveler condition to reach an appropriate value, and the shape of the plate material is corrected. The defective part may become long.

On the other hand, according to the arithmetic unit of the present embodiment, the initial setting (preset) of the leveler condition before starting the straightening of the metal plate 8 can be preferably performed, or the shape straightening can be performed. At that time, the leveler condition can be controlled to an appropriate value based on the shape detected by the shape detector 7 arranged on the entry side of the tension leveler 3. Therefore, as 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 defective portion of the plate material can be shortened.

In the above description, the plate end portion and the quota portion (2 locations) on the work side, the plate end portion and the quota portion (2 locations) on the drive side, and the plate width center (1 location) are described. The plate shape of the metal plate 8 is evaluated at a total of 5 locations, and the leveler conditions are calculated based on the above equations (1) to (4). However, the present invention is not limited to this, and the plate shape of the metal plate 8 is provided at three or more points on the work side, three or more points on the drive side, and a total of seven or more points at the center of the plate width. May be evaluated. In this case, the leveler condition can be calculated by using the shape prediction formula in which the variables are increased.

(Structure of arithmetic unit in one aspect of the present invention)
An arithmetic unit according to one aspect of the present invention, which calculates a value for controlling the tension leveler 3 using the above equations (1) to (4), will be described below with reference to FIG. FIG. 11 is a block diagram showing a schematic configuration of the process computer 6 included in the shape straightening equipment 1.

The arithmetic unit according to one aspect of the present invention can be realized as one function of the process computer 6 included in, for example, the shape correction equipment 1. The arithmetic unit according to one aspect of the present invention may be realized by using a computer different from the process computer 6 (for example, a higher-level computer 5), and the hardware is not particularly limited.

As shown in FIG. 11, the process computer 6 includes a control unit 10 and a storage unit 20. A host computer 5, a shape detector 7, and a tension leveler 3 provided outside the process computer 6 are communicably connected to the control unit 10.

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 the influence coefficient data 21 and the control parameter 22.

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

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 the description of an example of the processing flow executed by the process computer 6. It will be described later.

The storage unit 20 is a non-volatile 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 equations (1) to (4) in a table format, for example, in association with the dimensions and materials (plate thickness, plate width, metal type) of the metal plate 8. It is data. Alternatively, the influence coefficient data 21 is data indicating a predetermined function used for calculating the influence coefficient according to the correction conditions. The influence coefficient data 21 may be any data such that the influence coefficient determination unit 11 can set the 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. The control parameter 22 includes, for example, the number of rolls of the work roll 31, the intermesh, the rotation speed, the diameter, the coefficient of friction, the curvature given to the metal plate 8, and the like. Each influence coefficient included in the above equations (1) to (4) can be determined based on the control parameter 22, and a value for controlling the tension leveler 3 is calculated using the above equations (1) to (4). I wish I could.

The control parameter 22 includes a plate-shaped target value which defines a plate shape of the metal plate 8 to the target after correction by the tension leveler 3 ^{(e.g., εe 0, εe '0,} εq 0, εq' 0). For example, if a plate shape after correction is targeted to be flat (elongation difference 0 in the respective locations in the plate width direction), setting a target value ^{εe 0, εe '0, εq} 0, εq' 0 is either Is also 0, which is the plate shape target value.

Here, the set target value ^{εe 0, εe '0, εq} 0, εq' 0 , depending on the plate-shape after the desired correction of the metal plate 8, may be variously set. For example, as the plate shape (product shape) of the metal plate 8 after correction, there may be a demand that the metal plate 8 cannot be stretched in the middle or the ear cannot be stretched. For example, in the case where 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 in the ear. This also applies to the following description.

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

(Processing flow)
An example of the flow of processing executed by the process computer 6 as the arithmetic unit in one aspect of the present invention as described above will be described with reference to FIG. FIG. 12 is a flowchart showing an example of a flow of processing executed by the process computer 6 based on the measured value of the plate shape before the start of straightening in the shape straightening equipment 1.

As shown in FIG. 12, before the start of straightening of the metal plate 8 (preset control), the user inputs information such as the dimensions and materials of the metal plate 8 to be straightened into the input unit 5b (step 1; the following). Abbreviated as S1).

Further, the user inputs to the input unit 5b the elongation rates of a plurality of locations in the plate width direction of the metal plate 8 before straightening (S2). In the present embodiment, the elongation rates of the work side plate end portion and quarter portion, the drive side plate end portion and quarter portion, and the center of the plate width in the metal plate 8 before straightening are input at a total of five locations. As a result, the pre-correction shape represented by the difference in elongation rate of the metal plate 8 before straightening is calculated (pre-correction shape calculation step).

Then, the user, the input unit 5b, .epsilon.e as set target strip shape that defines the shape of a flat plate of a metal plate 8 to the target after correction by the tension leveler ^{3 0, εq 0, εe '} 0, and εq' ⁰ Is input (S3: target value setting process).

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

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) is determined.

After that, the main calculation unit 12 uses the elongation rates of the above five points on the metal plate 8 before straightening to symmetric component ζ e, asymmetric component ζ e'about the plate end portion before straightening, and symmetric component ζ q regarding the quarter portion before straightening. , Calculate the asymmetric component ζ q'. Then, the main operating unit 12, these calculated values, the influence coefficient determining section 11 is determined the influence coefficient, setting a target value .epsilon.e 0 of ^{plate-shaped,} .epsilon.e a ^'0, εq ^0, and εq' ⁰ as the first equation By substituting the above equations (1) and (2) and the above equations (3) and (4) as the second equations and solving the simultaneous equations, the tension T and the split portion 341-349 (from one end). The crowning amount (initial setting value, control value) of each of the nth division portion) is calculated (S5: control value calculation step). The method for obtaining the solutions of the above equations (1) to (4) is not particularly limited. For example, one or a plurality of values of the tension T and the respective crowning amounts of the divided portions 341 to 349 may be fixed. Alternatively, a relational expression may be given between each crowning amount of the divided portions 341 to 349. It suffices that the obtained tension T and the crowning amounts of the divided portions 341 to 349 are within the specified range.

Then, the device control unit 13 controls the tension applying device 2 using the calculated tension T, and controls the divided backup roll reduction adjusting device 4 using the calculated crowning amounts of the divided units 341 to 349. (S6).

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

As described above, by evaluating the plate shape of the metal plate 8 by a component symmetrical to the center of the plate width (symmetrical component) and a component asymmetrical to the center of the plate width (asymmetrical component), various shape defects can be dealt with. can do. Then, the control value of the tension leveler 3, which is appropriate for making the metal plate 8 having various shape defects into a desired plate shape (desired set target value), is measured in advance at a plurality of elongation rates in the plate width direction. Based on the above, it can be calculated before the start of correction using the above equations (1) to (4).

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

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

[Embodiment 2]
The process computer 6 of 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 the present 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 executed.

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

Next, based on the information from the shape detector 7, the elongation rate difference calculation unit 14 determines the symmetry component ζ e with respect to the plate edge portion as the average of the elongation rate difference and the elongation rate difference between the plurality of locations of the metal plate 8. The asymmetric component ζ e', the symmetric component ζ q related to the quarter portion, and the asymmetric component ζ q'are calculated (S12: pre-correction shape calculation step).

Thereafter, the main operating unit 12, these calculated values, the influence coefficients influence coefficient determining unit 11 has determined, as well as, setting the target value .epsilon.e 0 of ^{plate-shaped,} .epsilon.e a ^'0, εq ^0, and εq' ⁰ above By substituting into the equations (1) to (4) and solving the simultaneous equations, the crowning amounts of the tension T and the divided portions 341 to 349 are calculated (S13: control value calculation step).

Then, the device control unit 13 controls the tension applying device 2 using the calculated tension T, and controls the divided backup roll reduction adjusting device 4 using the calculated crowning amounts of the divided units 341 to 349. (S14).

As described above, for example, during the straightening of the metal plate 8 by the tension leveler 3, the tension leveler is adjusted according to the change in the elongation rate (defective shape of the metal plate 8) at a plurality of locations in the plate width direction of the metal plate 8 before straightening. The value for controlling 3 can be adjusted. Therefore, it is possible to calculate a value for controlling the tension leveler 3 provided with the split backup roll so that the metal plate 8 having various shape defects can be corrected to a good plate shape more quickly.

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

Using the shape straightening equipment 1 of the present embodiment, the shape of the metal plate 8 was straightened over the entire length of the coil of the steel strip (metal plate 8) having a plate thickness of 0.08 mm, a plate width of 650 mm, and a steel grade of SUS304. Regarding the evaluation positions of the plate end portion and the quarter portion, the plate end portion was set to a position 25 mm from the plate edge, and the quarter portion was set to a position 40% of the distance from the center of the plate width to the plate edge. ^{Further, the setting target values εe 0} and εq ⁰ of the symmetric component of the corrected shape were set to 8 Units and 3 Unit, respectively, and the setting target values εe ' ⁰ and εq' ⁰ of the asymmetric component of the corrected shape were set to 0 Unit, respectively.

Before the start of straightening of the metal plate 8, the elongation rate of the work side plate end and quarter portion of the metal plate 8 before straightening, the drive side plate end portion and quarter portion, and the center of the plate width at a total of 5 points measured in advance. The crowning amounts of the tension T and the divided portions 341 to 349 were calculated and set based on the above.

Then, during the straightening of the metal plate 8, the shape detector 7 measured the plate end and quarter portion of the work side of the metal plate 8, the plate end portion and quarter portion of the drive side, and the center of the plate width, for a total of five locations. Based on the information in the above, the elongation rate of each part was calculated, and the crowning amount of each of the tension T and the divided parts 341-349 was calculated and set.

Further, for comparison, the operator changes the crowning amounts of the tension T and the split portions 341 to 349 based on the measurement results of the shape detector provided on the outlet side of the tension leveler 3, and the same as above. The shape of the coil was corrected.

When the shape correction is performed using the shape correction equipment 1 of the present embodiment, as shown in FIG. 14, the actual values and the target values of the symmetrical components εe and εq of the shape after the correction are started from the time when the shape correction is started. The absolute value of the difference from and the absolute value of the difference between the actual value and the target value of the asymmetrical components εe'and εq' were both within 5 Units. And this was the same over the entire length of the coil.

On the other hand, when the correction conditions are manually adjusted by the operator, as shown in FIG. 15, the difference between the actual value and the target value of the symmetric components εe and εq of the shape after correction at the time when the shape correction is started. The absolute values of were as large as 18 Units and 12 Units, respectively, and did not fall within 5 Units thereafter.

(Modification example 1)
The shape straightening equipment 1 may not be provided with the shape detector 7. As described above, before the start of straightening of the metal plate 8, the crowning amounts of the tension T and the divided portions 341-349 are calculated based on the pre-correction shape of the metal plate 8 measured in advance, and immediately after the start of straightening. In, the metal plate 8 can be straightened into 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. As described above, the operator may manually make fine adjustments.

(Modification 2)
If the shape detector 7 is provided in the shape straightening equipment 1, it is not essential to initially set the crowning amounts of the tension T and the divided portions 341 to 349 before the start of straightening. Based on the information from the shape detector 7, the appropriate tension T and the crowning amount of each of the divided portions 341 to 349 can be calculated. In this case, the information from the shape detector 7 may be input in S2 (see FIG. 12) described above, and the control of the tension leveler 3 may be started by the same processing flow as in FIG.

(Modification example 3)
The split backup roll reduction adjustment device 4 may be configured to control the upper backup roll 33. In that case, pressing down the split portion of the upper backup roll 33 means shifting the split portion vertically downward.

[Example of realization by software]
The control block of the process computer 6 (particularly, the influence coefficient determination unit 11, the main calculation unit 12, the device control unit 13, and the elongation rate difference calculation unit 14) is a logic circuit (hardware) formed in an integrated circuit (IC chip) or the like. It may be realized by hardware) or by software using a CPU (Central Processing Unit).

In the latter case, the host computer 5 and the process computer 6 are a CPU that executes instructions of an information processing program that is software that realizes each function, and a ROM in which the program and various data are readablely recorded 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 developing the program, and the like are provided. Then, the computer (or CPU) reads the program from the recording medium and executes it, thereby achieving the object of the present invention. As the recording medium, a "non-temporary tangible medium", for example, a tape, a disk, a card, a semiconductor memory, a programmable logic circuit, or the like can be used. Further, the program may be supplied to the computer via an arbitrary transmission medium (communication network, broadcast wave, etc.) capable of transmitting 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 can be made within the scope of the claims, and the embodiments obtained by appropriately combining the technical means disclosed in the different embodiments. Is also included in the technical scope of the present invention.

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

Claims (9)

It is provided with a plurality of divided backup rolls each having a plurality of divided portions arranged in the axial direction, and controls a tension leveler for correcting the plate shape of the metal plate by controlling the amount of deviation of the divided portions with respect to the metal plate. It is an arithmetic unit that calculates the control value to be used.
A calculation unit for calculating the tension applied to the metal plate by the tension leveler and the control value of the offset amount is provided.
The calculation unit affects the target value of the elongation rate 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 offset amount and
(iii) Degree of influence based on the shape of the metal plate before being corrected by the tension leveler,
The control value is calculated so that the target value indicated by the formula becomes a preset target value using a formula including a plurality of influence coefficients indicating each of the above .
The calculation unit calculates the control value using the first and second equations.
The first elongation difference between one of the two points symmetrical to the center of the plate width and the center of the plate width, arranged along the width direction of the metal plate, and the other point of the two points. The target value for the average value of the second elongation rate difference between the plate width and the center of the plate width is set as the first target value, and the target value of the third elongation rate difference between the one point and the other point is set as the first target value. As the second target value,
The first equation shows the first target value, and also shows the degree of influence of the tension, the offset amount, and the average value on the metal plate before correction on the first target value. Includes multiple impact factors
The second equation shows the second target value, and also shows the degree of influence of the offset amount and the third elongation coefficient difference on the metal plate before correction, respectively, on the second target value. Contains multiple influence factors
Each of the plurality of divided backup rolls has n (n = 2s + 1, s is an integer) divided portions.
In the first equation, the average value (i = 1, 2, 3, ..., S) of the offset amount of the i-th and (n + 1-i) th divided portions from one end of the divided backup roll, and the above. Includes an influence coefficient indicating the degree of influence of the (s + 1) th division portion deviation amount from one end of the split backup roll.
The second equation determines the degree of influence of the difference (i = 1, 2, 3, ..., S) in the deviation amount of the i-th and (n + 1-i) -th divided portions from one end of the divided backup roll. Includes the impact factors shown for each
The calculation unit calculates, as the offset amount, the offset amount (n = 1, 2, 3, ..., 2s + 1) of the nth division portion from one end in each of the plurality of division backup rolls. An arithmetic unit characterized by this. As two points symmetrical to the center of the plate width, a combination in which one end of the metal plate in the plate width direction is the one point and the other end is the other point is referred to as a first combination, and the metal. A combination in which the intermediate portion closer to the center of the plate width than the end portion in the plate width direction of the plate is defined as the one point and the other intermediate portion is defined as the other point is referred to as a second combination.
Each of the first equation and the second equation, the arithmetic apparatus according to claim 1, characterized in that it contains two expressions Equation based on the second combination with a formula based on the first combination .. It is provided with a plurality of divided backup rolls each having a plurality of divided portions arranged in the axial direction, and controls a tension leveler for correcting the plate shape of the metal plate by controlling the amount of deviation of the divided portions with respect to the metal plate. It is an arithmetic unit that calculates the control value to be used.
A calculation unit for calculating the tension applied to the metal plate by the tension leveler and the control value of the offset amount is provided.
The calculation unit affects the target value of the elongation rate 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 offset amount and
(iii) Degree of influence based on the shape of the metal plate before being corrected by the tension leveler,
The control value is calculated so that the target value indicated by the formula becomes a preset target value using a formula including a plurality of influence coefficients indicating each of the above.
The calculation unit calculates the control value using the first and second equations.
The first elongation difference between one of the two points symmetrical to the center of the plate width and the center of the plate width, arranged along the width direction of the metal plate, and the other point of the two points. The target value for the average value of the second elongation rate difference between the plate width and the center of the plate width is set as the first target value, and the target value of the third elongation rate difference between the one point and the other point is set as the first target value. As the second target value,
The first equation shows the first target value, and also shows the degree of influence of the tension, the offset amount, and the average value on the metal plate before correction on the first target value. Includes multiple impact factors
The second equation shows the second target value, and also shows the degree of influence of the offset amount and the third elongation coefficient difference on the metal plate before correction, respectively, on the second target value. Contains multiple influence factors
As two points symmetrical to the center of the plate width, a combination in which one end of the metal plate in the plate width direction is the one point and the other end is the other point is referred to as a first combination, and the metal. A combination in which the intermediate portion closer to the center of the plate width than the end portion in the plate width direction of the plate is defined as the one point and the other intermediate portion is defined as the other point is referred to as a second combination.
The first and second equations each include two equations, one based on the first combination and the other based on the second combination.
The first equation is arithmetic device you characterized by being represented by the following formula (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 rate based on the first combination in the metal plate before correction Average value between the difference and the second elongation rate difference ζ q: Average value between the first elongation rate difference and the second elongation rate difference based on the second combination in the metal plate before straightening T: Tension n : Number of divided parts of the divided backup roll (n = 2s + 1, s is an integer)
Cr _i : Average value of the offset amount of the i-th and (n + 1-i) th divided portions _{from one end of the divided backup roll Cr s + 1} : The offset amount ae of the s + 1th divided portion from one end of the divided backup roll. be, ce _i , ce _{s + 1} , de, aq, bq, cq _i , cq _{s + 1} , dq: influence coefficient) It is provided with a plurality of divided backup rolls each having a plurality of divided portions arranged in the axial direction, and controls a tension leveler for correcting the plate shape of the metal plate by controlling the amount of deviation of the divided portions with respect to the metal plate. It is an arithmetic unit that calculates the control value to be used.
A calculation unit for calculating the tension applied to the metal plate by the tension leveler and the control value of the offset amount is provided.
The calculation unit affects the target value of the elongation rate 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 offset amount and
(iii) Degree of influence based on the shape of the metal plate before being corrected by the tension leveler,
The control value is calculated so that the target value indicated by the formula becomes a preset target value using a formula including a plurality of influence coefficients indicating each of the above.
The calculation unit calculates the control value using the first and second equations.
The first elongation difference between one of the two points symmetrical to the center of the plate width and the center of the plate width, arranged along the width direction of the metal plate, and the other point of the two points. The target value for the average value of the second elongation rate difference between the plate width and the center of the plate width is set as the first target value, and the target value of the third elongation rate difference between the one point and the other point is set as the first target value. As the second target value,
The first equation shows the first target value, and also shows the degree of influence of the tension, the offset amount, and the average value on the metal plate before correction on the first target value. Includes multiple impact factors
The second equation shows the second target value, and also shows the degree of influence of the offset amount and the third elongation coefficient difference on the metal plate before correction, respectively, on the second target value. Contains multiple influence factors
As two points symmetrical to the center of the plate width, a combination in which one end of the metal plate in the plate width direction is the one point and the other end is the other point is referred to as a first combination, and the metal. A combination in which the intermediate portion closer to the center of the plate width than the end portion in the plate width direction of the plate is defined as the one point and the other intermediate portion is defined as the other point is referred to as a second combination.
The first and second equations each include two equations, one based on the first combination and the other based on the second combination.
The second equation is the following equation (3) and (4) arithmetic device you characterized by being represented by.

(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 straightening. Elongation rate difference ζ q': The third elongation rate difference based on the second combination in the metal plate before straightening n: Number of divided portions of the divided backup roll (n = 2s + 1, s is an integer)
Cr _i ': Difference in deviation amount between 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 coefficient) The calculation unit is characterized in that the tension and the offset amount are calculated based on a set value of an elongation rate difference between two points at a plurality of locations arranged along the width direction of the metal plate before straightening. The arithmetic unit according to any one of claims 1 to 4. It is provided on the entrance side of the tension leveler and is communicably connected to a shape detector that detects the shape of the metal plate.
Claim 1 is characterized in that the calculation unit calculates the tension and the offset amount based on the elongation rates of a plurality of locations of the metal plate calculated based on the shape detected by the shape detector. The arithmetic unit according to any one of 5 to 5. It is provided with a plurality of divided backup rolls each having a plurality of divided portions arranged in the axial direction, and controls a tension leveler for correcting the plate shape of the metal plate by controlling the amount of deviation of the divided portions with respect to the metal plate. It is a calculation method to calculate the control value to be performed.
The calculation method is a method of calculating the tension applied to the metal plate by the tension leveler and the control value of the offset amount.
A pre-correction shape calculation step of calculating a pre-correction shape represented by an elongation rate difference between two points arranged along the width direction in the metal plate before being straightened by the tension leveler, and a pre-correction shape calculation step.
The target value setting process for setting the set target value for the shape of the metal plate after straightening, and
(I) The degree of influence of the tension, (ii) the degree of influence of the offset amount, and (iii) the degree of influence on the target value of the elongation rate difference between two points arranged along the width direction of the metal plate. An influence coefficient determination step of determining the influence coefficient indicating the calculated influence degree of the shape before correction according to the type of the metal plate, and
Using a formula that contains the determined the influence coefficient, based on the set target value, see containing and a control value calculation step of calculating a control value of the tension, and the shift amount,
In the control value calculation step, the control value is calculated using the first and second equations.
The first elongation difference between one of the two points symmetrical to the center of the plate width and the center of the plate width, arranged along the width direction of the metal plate, and the other point of the two points. The target value for the average value of the second elongation rate difference between the plate width and the center of the plate width is set as the first target value, and the target value of the third elongation rate difference between the one point and the other point is set as the first target value. As the second target value,
The first equation shows the first target value, and also shows the degree of influence of the tension, the offset amount, and the average value on the metal plate before correction on the first target value. Includes multiple impact factors
The second equation shows the second target value, and also shows the degree of influence of the offset amount and the third elongation coefficient difference on the metal plate before correction, respectively, on the second target value. Contains multiple influence factors
Each of the plurality of divided backup rolls has n (n = 2s + 1, s is an integer) divided portions.
In the first equation, the average value (i = 1, 2, 3, ..., S) of the offset amount of the i-th and (n + 1-i) th divided portions from one end of the divided backup roll, and the above. Includes an influence coefficient indicating the degree of influence of the (s + 1) th division portion deviation amount from one end of the split backup roll.
The second equation determines the degree of influence of the difference (i = 1, 2, 3, ..., S) in the deviation amount of the i-th and (n + 1-i) -th divided portions from one end of the divided backup roll. Includes the impact factors shown for each
In the control value calculation step, as the offset amount, the offset amount (n = 1, 2, 3, ..., 2s + 1) of the nth division portion from one end in each of the plurality of division backup rolls is used. A calculation method characterized by calculating each. An information processing program for operating a computer as the arithmetic unit according to any one of claims 1 to 6, wherein the computer functions 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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