JP6870359B2 - 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, and it is unclear how a correction value for correcting the leveler condition can be obtained. 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 control 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. The purpose is 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 corrects the tension applied to the metal plate by the tension leveler and the offset amount. The calculation unit is provided with a calculation unit for calculating the correction amount for the calculation, and the calculation unit includes a target value of an elongation rate difference between two points arranged along the width direction of the metal plate and the correction by the tension leveler. Impact coefficient indicating the degree of influence of the correction amount of the tension and the degree of influence of the correction amount of the offset amount on the difference from the actually measured value corresponding to the target value calculated based on the shape of the metal plate. It is characterized in that the correction amount is calculated using a mathematical formula including.

The calculation method 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 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 the plate shape of the metal plate, and the calculation method is a correction for correcting the tension applied to the metal plate by the tension leveler and the deviation amount. It is a method of calculating the amount, and is calculated based on the target value of the elongation rate 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. , The difference calculation step of calculating the difference from the measured value corresponding to the target value, the degree of influence of the tension correction amount on the calculated difference, and the degree of influence of the deviation amount correction amount are shown. The tension correction amount and the deviation are based on the calculated difference using the influence coefficient determination step of determining the influence coefficient according to the type of the metal plate and the mathematical formula including the determined influence coefficient. It includes a correction amount calculation step of calculating a correction amount of the amount.

According to one aspect of the present invention, it is possible to calculate a control 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. ..

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 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 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 to execute based on the 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 measured values and the target values of the symmetrical components εe and εq and the asymmetrical components εe'and εq'of the straightened shape of the steel strip are used. 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 operator manually adjusts the straightening conditions to straighten the entire length of the coil of the steel strip, the measured values of the symmetrical 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.

An embodiment of the present invention will be described below with reference to FIGS. 1 to 10. 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, a tension leveler that is controlled using the values (control value and correction amount) calculated by the arithmetic unit is described. The outline of the shape correction equipment provided will be described with reference to FIGS. 1 and 2. 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 or the correction amount of the control value, each of the plurality of divided backup roll reduction adjustment devices 4 shifts the corresponding divided portion, and the crowning of the divided portion is performed. Adjust the amount.

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 installed on the outlet side of the tension leveler 3 for detecting the shape of the corrected metal plate 8, 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, the present inventors have found that the symmetrical component of the thin plate after straightening has a linear relationship with the tension and crowning amount of the tension leveler 3, and that the asymmetrical component of the thin plate after straightening has the crowning of the tension leveler 3. We found that it has a linear relationship with quantity. Then, by creating a mathematical model (corrected shape prediction formula) that incorporates 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. Realized to correct the shape.

More specifically, for example, a shape detector 7 provided on the outlet side of the tension leveler 3 is used to detect the shape of the thin plate after straightening, and based on this detected information, the above-mentioned symmetric component in the straightened shape and the above-mentioned symmetric component and The measured 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 by using the mathematical model. By correcting the control value of the tension leveler based on this correction amount, it is possible to correct a thin plate having various shape defects into a good plate shape.

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 corrected state of the metal plate 8 as a thin plate, and the measured values of the symmetric component and the asymmetric component 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 corrected asymmetric component, the actually measured value of the symmetric component, and the actually measured value of the asymmetric component, 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.

(Actual measurement value of the above symmetric component)
The shape of the metal plate 8 after straightening is detected by using a shape detector 7, and it is an actually measured value calculated based on the detected information and corresponds to the symmetric component εe with respect to the plate end portion after straightening. Let the measured value be εe ¹ (the first measured value based on the first combination). Specifically, based on the information obtained by detecting the shape of the plate end portion of the work side, the plate end portion of the drive side, and the center of the plate width of the metal plate 8 after straightening by using the shape detector 7, the above εe The measured value εe ¹ corresponding to is obtained. This εe ¹ is referred to as an actually measured value of a symmetric component with respect to the plate edge after correction.

Further, the measured value corresponding to the symmetric component εq related to the quarter portion after the correction is defined as εq ¹ (the first measured value based on the second combination). This εq ¹ is referred to as an actually measured value of the symmetric component regarding the quarter portion after correction.

(Actual measurement value of the above asymmetric component)
The shape of the metal plate 8 after straightening is detected by using a shape detector 7, and it is an actually measured value calculated based on the detected information, and corresponds to the asymmetric component εe'related to the plate end portion after straightening. the measured value of the .epsilon.e ^{'1 (second} measured value based on the first combination). The .epsilon.e ^'1 is referred to as the measured value of the asymmetric component relates plate end portion after straightening.

Further, the measured value corresponding to the asymmetric component εq'related to the quarter portion after the correction is defined as εq' ¹ (the second measured 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.

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

Further, the shape detector 7 of the present embodiment detects the shapes of the plate end portion and the quarter portion set above in the metal plate 8, and transmits the detected information to the process computer 6. Based on the detected out information, the .epsilon.e ^1, it is εq ^{1, εe '1,} and εq' ¹ is determined.

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.

Further, the influence of the plate shape of the metal plate 8 before straightening is reflected in the measured value of the plate shape of the metal plate 8 detected by the shape detector 7. Therefore, if the measured 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 straightening need not be taken into consideration.

In this case, the main factors affecting the shape change (main factors to be considered in the shape prediction formula after correction) 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 reduction adjusting device 4. Therefore, the quantitative effects 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 metal plate 8 after straightening were examined.

The results obtained by the studies by the present inventors will be described below with reference to FIGS. 3 to 6. 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 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 . 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, 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. ..

FIGS. 4 (a) to 4 (d) and FIG. 5 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. 4A 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. 4B 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. 4C 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. 4D is a graph showing the effect _{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. 5 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. 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, 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. _{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 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.

6 (a) to 6 (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. 6, 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. (B) in FIG. 6, 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 FIG. 6 (a), _'with increasing, 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. 6, 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. 6, 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 _i, be _{s + 1} , aq, bq _i, bq _{s + 1} , ce _i , and cq _i . To do. 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.

Here, in calculating the symmetric components εe and εq after correction and the asymmetric components εe'and εq' after correction defined as described above, the elongation rate difference is not the absolute value of the difference, so the following calculation is performed. Will be calculated by. Further, based on the information form the detector 7 has detected the metal plate 8 after straightening, a similar ^calculation, εe 1, εq 1, and to determine the .epsilon.e ^'1, and εq' ^1. Then, Cr _i and Cr _i'are also calculated by the following calculation.

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 elongation ratio of the quarter portion on the work side. The rate is expressed _{by Eq W} , and the elongation rate of the quarter portion 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 = ((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)
The present inventors use the mathematical models of the following equations (1) to (4) based on the actually measured values calculated based on the information obtained by detecting the shape of the metal plate 8 after straightening, to obtain the tension leveler 3. It has been found that the plate shape of the metal plate 8 after correction can be predicted when the tension and the crowning amount are corrected.

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

Further, ΔT is the amount of change in tension (correction amount). ΔCr _i is a correction amount of an average value of 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. ΔCr _{s + 1} is a correction amount of the crowning amount of the s + 1th divided portion from one end of the divided backup roll. [Delta] CR i _'has a crowning amount of the i-th division section from one end of the split backup rolls, a correction amount of the difference between the (n + 1-i) th crowning amount division part (i = 1, 2, 3, ..., s).

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.

Moreover, symmetric element after straightening .epsilon.e, Ipushironq, and asymmetric component after correction εe ', εq', as well as, Cr _i and Cr i _'relates crowning amount may be calculated by the formula other than the above. ΔT by using equation (1) ~ (4), ΔCr i, to be able to determine the [Delta] CR _{s + 1} and [Delta] CR _i ', rules of calculation only need to be unified.

In the shape control based on the shape detector 7 arranged on the outlet 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 formed by using the shape detector 7. Detect and use the detected information. For example, the shape detector 7 detects the shapes of the metal plate 8 at the plate end portion, the quarter portion, and the center of the plate width at a total of five locations, 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 end portion in the corrected shape is εe ⁰ , the target value (second target value) of the asymmetric component εe'is εe ' ⁰ , and the quarter portion in the corrected shape. ^{Let εq 0 be} the target value (first target value) of the symmetric component εq, ^{and εq '0 be} the target value (second target value) of the asymmetric component εq'. ), And the above equations (3) and (4) as the second equation are substituted.

Thus, the respective target values ^{εe 0, εe '0, εq} 0, εq' so that ^0, the variation in tension [Delta] T, from one end of the split backup rolls i-th and (n + 1-i) th division section of The amount of change in the average value of the crowning amount ΔCr _i , the amount of change in the crowning amount of the s + 1th (center position) _{from one end of the split backup roll ΔCr s + 1} , and the i-th from one end of the split backup roll and (n + 1-i). it is possible to calculate the second variation of the crowning amount of the difference between the division portion [Delta] CR i _'. The amount of change in the tension [Delta] T, the mean value of the variation [Delta] CR _i, the variation [Delta] CR s + ₁ of the crowning amount _based on the change amount [Delta] CR i _'of the difference may be corrected control amount of the tension leveler 3.

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

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. 7. FIG. 7 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. 7, 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 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 actually measured 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 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 actual measurement value calculation unit 14 in the control unit 10 describes the values for controlling the tension leveler 3 executed by the process computer 6. It will be described later together with an explanation of an example of the calculation process flow.

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 is data in which each influence coefficient included in the above equations (1) to (4) is set in a table in association with the dimensions and materials (plate thickness, plate width, metal type) of the metal plate 8, or data. This data stores the coefficients used to calculate the influence coefficient using a predetermined function 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 correction conditions. The correction condition is not particularly limited, but various conditions can be considered. Therefore, for the sake of simplification of the description, not all specific examples are given here, but 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, etc. is there. The control parameter 22 includes at least data on the dimensions and materials of the metal plate 8. 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), εe 0, εe '0} , εq 0, εq' none ⁰ 0 There is a plate shape target value.

Here, the 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 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. 8 is a flowchart showing 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 dimensions and materials of the metal plate 8 to be corrected into the input unit 5b (step 1; hereinafter abbreviated as S1).

Then, the user, the input unit 5b, the plate-shaped target value defining the shape of a flat plate of a metal plate 8 to the target after correction by the tension leveler 3 .epsilon.e ^0, .epsilon.e enter a ^'0, εq ^0, and εq' ⁰ ( 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 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 (S3: influence coefficient determination step). In the present embodiment, since s = 4, the 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 decided.

After that, the straightening of the metal plate 8 is started (S4).

During the straightening, the shape detector 7 detects the shapes of a plurality of locations in the plate width direction of the metal plate 8 after the straightening (S5). In the present embodiment, the shape detector 7 detects the shapes of the work side plate end portion and quarter portion of the metal plate 8, 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 actually measured value calculation unit 14. The information detected by the shape detector 7 may be the elongation rate or the information for calculating the elongation rate.

Based on the received information, the measured value calculation unit 14 calculates the average measured value of the elongation rate difference and the elongation rate difference between a plurality of locations in the plate width direction of the metal plate 8 after correction (S6). In this embodiment, based on information about the five points, it found .epsilon.e 1 of plate-shaped metal plate 8 after ^{straightening,} Ipushironq ^1, calculates the .epsilon.e ^'1, and εq' ^1. Then, these calculated measured values are transmitted to the main calculation unit 12.

Then, the difference calculating portion 12a of the main processing unit 12, control parameters 22 plate-shaped target value .epsilon.e stored in ^0, .epsilon.e a ^'0, εq ^0, and εq' ^0, received from the measured value calculating section 14 Found ^{εe 1, εq 1, εe '} 1, and Ipushironq' based on ¹ and calculates the difference between the target value and the measured value correspond to each other (S7: difference calculating step).

Then, the correction amount calculation unit 12b of the main calculation unit 12 uses the above equations (1) to (4) based on the calculated difference value and the above influence coefficient determined by the influence coefficient determination unit 11. By solving the simultaneous equations, the correction amount of the tension and the correction amount of each crowning amount of the divided portions 341 to 349 are calculated (S8: correction amount calculation step). The method for obtaining the solutions of the above equations (1) to (4) is not particularly limited, and a known method may be used. 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 is sufficient that the obtained correction amount of the tension T and the correction amount of each crowning amount 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 correction amount of the tension T, and uses the calculated correction amount of each crowning amount of the division units 341 to 349 to reduce the split backup roll. The adjusting device 4 is controlled (S9).

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 correction amount of the control value of the tension leveler 3 suitable for making the metal plate 8 having various shape defects into a desired plate shape (desired target value) is adjusted, and the plate shape of the metal plate 8 after the correction is adjusted. It can be calculated during straightening using the above equations (1) to (4) based on the difference in elongation rate at a plurality of locations in the plate width direction detected and calculated.

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.

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.

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

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 target values εe 0} and εq ⁰ of the symmetric component of the corrected shape were set to 8 Units and 3 Units, respectively, and the target values εe ' ⁰ and εq' ⁰ of the asymmetric component of the corrected shape were set to 0 Unit, respectively.

Using the shape detector 7, the shapes of the work side plate end and quarter portion of the metal plate 8 after being straightened by the tension leveler 3, the drive side plate end portion and quarter portion, and the center of the plate width are formed at a total of 5 locations. Detected. The elongation rate of each part of the metal plate 8 after straightening in the plate width direction is calculated, and the correction amount of each crowning amount of the tension T and the divided parts 341-349 is calculated, and the tension and crowning amount are calculated based on the correction amount. Was adjusted.

Further, for comparison, the operator changes the crowning amounts of the tension T and the divided portions 341 to 349 based on the shape information detected by the shape detector 7, and corrects the shape of the coil similar to the above. went.

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

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

(Modification example)
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 measured value calculation unit 14) is a logic circuit (hardware) formed in an integrated circuit (IC chip) or the like. ), Or it may be realized 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 6: Process computer (arithmetic unit)
7: Shape detector 8: Metal plate 12: Main calculation unit (calculation unit)
34: Lower backup roll (split backup roll)
341-349: Divided part

Claims (7)

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 correction amount for correcting the offset amount is provided.
The calculation unit calculates the target value based on the target value of the elongation coefficient 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. The correction amount is calculated using a mathematical formula including an influence coefficient indicating the influence degree of the correction amount of the tension and the influence degree of the correction amount of the offset amount on the difference from the measured value corresponding to the value.
The calculation unit calculates the correction amount using the first equation and the second equation.
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 average value calculated based on the shape of the corrected metal plate is the first actual measurement. As a value
The first equation includes an influence coefficient indicating the influence degree of the tension correction amount and the influence degree of the offset amount correction amount on the difference between the first target value and the first actual measurement value, respectively. ,
The target value of the third elongation rate difference between the one point and the other point is set as the second target value, and the third elongation rate difference calculated based on the shape of the corrected metal plate is used as the second target value. 2 Measured value
The second equation includes an influence coefficient indicating the degree of influence of the correction amount of the offset amount on the difference between the second target value and the second actual measurement value.
Each of the plurality of divided backup rolls has n (n = 2s + 1, s is an integer) divided portions.
The first equation is a correction amount of the average value (i = 1, 2, 3, ..., S) of the deviation amount of the i-th and (n + 1-i) th divided portions from one end of the divided backup roll. , And the correction amount of the offset amount of the (s + 1) th divided portion from one end of the divided backup roll, each of which includes an influence coefficient indicating the degree of influence.
The second equation is a correction amount 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 an impact factor that indicates the degree of influence of
As a correction amount of the offset amount, the calculation unit determines 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 calculating each correction amount. 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 correction amount for correcting the offset amount is provided.
The calculation unit calculates the target value based on the target value of the elongation coefficient 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. The correction amount is calculated using a mathematical formula including an influence coefficient indicating the influence degree of the correction amount of the tension and the influence degree of the correction amount of the offset amount on the difference from the measured value corresponding to the value.
The calculation unit calculates the correction amount using the first equation and the second equation.
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 average value calculated based on the shape of the corrected metal plate is the first actual measurement. As a value
The first equation includes an influence coefficient indicating the influence degree of the tension correction amount and the influence degree of the offset amount correction amount on the difference between the first target value and the first actual measurement value, respectively. ,
The target value of the third elongation rate difference between the one point and the other point is set as the second target value, and the third elongation rate difference calculated based on the shape of the corrected metal plate is used as the second target value. 2 Measured value
The second equation includes an influence coefficient indicating the degree of influence of the correction amount of the offset amount on the difference between the second target value and the second actual measurement value.
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 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 portions of the divided backup roll (n = 2s + 1, s is an integer)
ΔCr _i : Correction amount of the average value of the deviation amount of the i-th and (n + 1-i) th division portions _{from one end of the divided backup roll ΔCr s + 1} : Shift of the s + 1th division portion from one end of the divided backup roll Amount correction amount ae, be _i , be _{s + 1} , aq, bq _i , bq _{s + 1} : 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 correction amount for correcting the offset amount is provided.
The calculation unit calculates the target value based on the target value of the elongation coefficient 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. The correction amount is calculated using a mathematical formula including an influence coefficient indicating the influence degree of the correction amount of the tension and the influence degree of the correction amount of the offset amount on the difference from the measured value corresponding to the value.
The calculation unit calculates the correction amount using the first equation and the second equation.
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 average value calculated based on the shape of the corrected metal plate is the first actual measurement. As a value
The first equation includes an influence coefficient indicating the influence degree of the tension correction amount and the influence degree of the offset amount correction amount on the difference between the first target value and the first actual measurement value, respectively. ,
The target value of the third elongation rate difference between the one point and the other point is set as the second target value, and the third elongation rate difference calculated based on the shape of the corrected metal plate is used as the second target value. 2 Measured value
The second equation includes an influence coefficient indicating the degree of influence of the correction amount of the offset amount on the difference between the second target value and the second actual measurement value.
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,
.epsilon.e ^'0: the first based on a combination the second target value Ipushironq' ^0: the second target value .epsilon.e based on the second combination ^'1: the second measured value Ipushironq based on the first combination' ¹ : The second measured value based on the second combination n: Number of divided portions of the divided backup roll (n = 2s + 1, s is an integer)
ΔCr _i ': Correction amount for the difference in the deviation amount between the i-th and (n + 1-i) -th divided portions from one end of the divided backup roll ce _i , cq _i : 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 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 correction amount for correcting the offset amount.
Actual measurement corresponding to the target value calculated based on the target value of the elongation rate 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. The difference calculation process that calculates the difference from the value, and
An influence coefficient determining step of determining the influence factor of the tension correction amount and the influence factor of the offset amount correction amount on the calculated difference according to the type of the metal plate.
Using a formula that contains the determined the influence coefficient, based on the difference obtained by the calculation, see containing and a correction amount calculating step of calculating a correction amount of the correction amount and the shift amount of the tension,
In the correction amount calculation step, the correction amount 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 average value calculated based on the shape of the corrected metal plate is the first actual measurement. As a value
The first equation includes an influence coefficient indicating the influence degree of the tension correction amount and the influence degree of the offset amount correction amount on the difference between the first target value and the first actual measurement value, respectively. ,
The target value of the third elongation rate difference between the one point and the other point is set as the second target value, and the third elongation rate difference calculated based on the shape of the corrected metal plate is used as the second target value. 2 Measured value
The second equation includes an influence coefficient indicating the degree of influence of the correction amount of the offset amount on the difference between the second target value and the second actual measurement value.
Each of the plurality of divided backup rolls has n (n = 2s + 1, s is an integer) divided portions.
The first equation is a correction amount of the average value (i = 1, 2, 3, ..., S) of the deviation amount of the i-th and (n + 1-i) th divided portions from one end of the divided backup roll. , And the correction amount of the offset amount of the (s + 1) th divided portion from one end of the divided backup roll, each of which includes an influence coefficient indicating the degree of influence.
The second equation is a correction amount 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 an impact factor that indicates the degree of influence of
In the correction amount calculation step, as the correction amount of the offset amount, the offset amount of the nth division portion from one end in each of the plurality of division backup rolls (n = 1, 2, 3, ... A calculation method characterized in that each of the correction amounts of 2s + 1) is calculated. An information processing program for operating a computer as the arithmetic unit according to any one of claims 1 to 4, wherein the computer functions as the calculation unit. A computer-readable recording medium on which the information processing program according to claim 6 is recorded.

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