KR101454147B1 - Distortion computation method and rolling system - Google Patents

Distortion computation method and rolling system Download PDF

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KR101454147B1
KR101454147B1 KR1020147009650A KR20147009650A KR101454147B1 KR 101454147 B1 KR101454147 B1 KR 101454147B1 KR 1020147009650 A KR1020147009650 A KR 1020147009650A KR 20147009650 A KR20147009650 A KR 20147009650A KR 101454147 B1 KR101454147 B1 KR 101454147B1
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shape
deformation
steel sheet
rolling
rolled steel
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KR1020147009650A
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KR20140066752A (en
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토오루 아카시
시게루 오가와
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신닛테츠스미킨 카부시키카이샤
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B38/00—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product
    • B21B38/02—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product for measuring flatness or profile of strips
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21C—MANUFACTURE OF METAL SHEETS, WIRE, RODS, TUBES OR PROFILES, OTHERWISE THAN BY ROLLING; AUXILIARY OPERATIONS USED IN CONNECTION WITH METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL
    • B21C51/00—Measuring, gauging, indicating, counting, or marking devices specially adapted for use in the production or manipulation of material in accordance with subclasses B21B - B21F
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B2263/00—Shape of product
    • B21B2263/04—Flatness
    • B21B2263/06—Edge waves
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B2263/00—Shape of product
    • B21B2263/04—Flatness
    • B21B2263/08—Centre buckles
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
    • B21B37/28—Control of flatness or profile during rolling of strip, sheets or plates
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
    • B21B37/28—Control of flatness or profile during rolling of strip, sheets or plates
    • B21B37/38—Control of flatness or profile during rolling of strip, sheets or plates using roll bending
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
    • B21B37/28—Control of flatness or profile during rolling of strip, sheets or plates
    • B21B37/40—Control of flatness or profile during rolling of strip, sheets or plates using axial shifting of the rolls
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B38/00—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product
    • B21B38/04—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product for measuring thickness, width, diameter or other transverse dimensions of the product
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B38/00—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product
    • B21B38/06—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product for measuring tension or compression

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Control Of Metal Rolling (AREA)

Abstract

A step of detecting the shape of the steel plate 101 rolled by the rolling apparatus 20 and a step of calculating a second variant? 2 representing a deformation appearing as a concavo-convex shape on the surface of the rolled steel sheet, Calculating a correlation between a critical value of the third strain? 3 indicating the strain corresponding to the internal stress of the rolled steel sheet and the shape of the rolled steel sheet and determining a third variant? 3 from the detected shape, , And the correlation is determined by the boundary condition determined by the detected shape, the plate thickness of the rolled steel plate, the plate width of the rolled steel plate, the tensile force of the rolled steel plate, and the distribution shape of the third deformation And the second strain? 2 and the third strain? 3 to calculate a first strain? 1 indicating the difference between the deformation corresponding to the total stress and the deformation of the steel sheet due to the target rolling doing Wherein the step of calculating the number of steps includes a step.

Figure R1020147009650

Description

[0001] DISTORTION COMPUTATION METHOD AND ROLLING SYSTEM [0002]

The present invention relates to a calculation method and rolling system for calculating deformation and internal stress of a rolled steel sheet.

In the rolling of a steel sheet, a purpose is to obtain a steel sheet having a predetermined thickness (hereinafter also referred to as a target value) in thickness, width and length by applying stress to the steel sheet with a rolling apparatus before the rolling. However, it is not easy to obtain a steel sheet according to a target value, and various irregularities called an edge wave or a center wave are easily generated on the surface of the steel sheet after the rolling. The stress applied to the steel sheet from the rolling apparatus (hereinafter also referred to as total stress) can be determined by the following methods: 1) generation of deformation to a predetermined size to become a target value; 2) generation of various irregularities on the plate surface, 3) It is consumed in generating the residual stress in the steel sheet.

It is necessary to grasp and control the relationship between these deformation and stress in order to carry out rolling without causing irregularities on the plate surface. Particularly, it is important to grasp the difference between the deformation corresponding to the total stress and the deformation to be a predetermined size, and control it. However, a method of accurately grasping this car has not yet been realized.

In order to grasp the deformation in rolling, the shape of the steel sheet before and after rolling must be measured. Several techniques for measuring the shape of the rolled steel sheet are known. For example, Patent Document 1 discloses a technique for grasping deformation of a steel sheet due to deformation by relating a sheet thickness of a steel sheet measured by using a measuring device having a plurality of optical system ranging meters to a position on a sheet plane of the steel sheet . Patent Document 1 discloses a technique for suppressing deformation of a rolled steel sheet by adjusting the position and the amount of depressions based on the deformation of the steel sheet measured after rolling.

Further, there is known a shape prediction model for predicting the deformation of the rolled steel sheet and a technique for suppressing the occurrence of the shape defect of the steel sheet by rolling using the measurement data obtained by measuring the deformation of the rolled steel sheet. Patent Document 2 discloses a technique of adjusting the work roll bending force in order to sequentially correct the shape defects of the steel sheet during rolling from the measurement data obtained by successively measuring the deformation of the rolled steel sheet and the predictive shape model for predicting the deformation . Here, the predictive shape model is sequentially modified on the basis of the measured deformation after considering the dead zone corresponding to the threshold value of deformation appearing as the uneven shape on the plate surface of the rolled steel plate.

On the other hand, there is known a technique for analyzing the mechanism of occurrence of defective shape of a thin plate such as an edge wave and a center wave. Non-Patent Document 1 describes a technique of approximating the generation mechanism of the edge wave and the center wave by the buckling equation of the edge wave and the buckling equation of the center wave, respectively. Non-Patent Document 2 describes a technique for analyzing a buckling critical point, which is a threshold value of deformation appearing as a concavo-convex shape on the surface of a rolled steel sheet.

Patent Document 3 describes a technique to which the buckling equation described in Non-Patent Document 1 is applied. More specifically, Patent Document 3 discloses a method of controlling the total stress and the difference of the stress corresponding to the deformation of the steel sheet by the target rolling to a stress component which is converted into a deformation appearing as a concave- And separating the residual stress component into residual stress components. Patent Document 3 describes a technique for predicting a waveform shape that occurs when a steel sheet is cooled based on such a technique. In the technique described in Patent Document 3, a stress component that is converted into a deformation appearing as a concavo-convex shape after cooling is different from the total stress and the stress corresponding to the deformation of the steel sheet due to the target rolling, Is obtained by subtracting the residual stress component. Subsequently, the waveform shape after cooling is predicted by comparing the stress component obtained by subtraction and the strain calculated from the steepness level. Here, the difference between the total stress and the stress corresponding to the deformation of the steel sheet due to the target rolling is treated as a known value estimated from a temperature distribution or the like.

Japanese Patent Application Laid-Open No. 5-237546 Japanese Patent Application Laid-Open No. 9-295022 Japanese Patent No. 4262142

"Edge Waves and Center Waves of Cold Rolled Sheet" Journal of the Japanese Society of Plastic and Manufacturing Engineers, vol.28 No.312 (1987-1) p58 -66 CAMP-ISIJ VoL.8 (1995) -1210 "Development of Prediction Models and Prevention Methods of Buckling Waves in TMCP Steel Plates"

However, in the control of the technique described in Patent Document 1, deformation appearing as the concavo-convex shape on the plate surface of the rolled steel plate is considered, but the internal stress of the steel plate is not considered. As a result, there is a possibility that the internal stress changes as the irregularities on the surface of the steel sheet due to the change in the stress during rolling due to some disturbance.

In addition, in the technique described in Patent Document 2, there is no description of a calculation method of a dead zone corresponding to a threshold value of deformation appearing as a concavo-convex shape on the surface of a rolled steel sheet. In addition, since the control object of the technique described in Patent Document 2 is a nonlinear crown change rate, the control may become complicated.

Further, in the technique described in Patent Document 3, the difference between the total stress and the stress corresponding to the deformation of the steel sheet due to the target rolling is converted into the deformation appearing as the uneven shape, And is separated into residual stress components. However, there is a method of calculating the difference between the total stress and the stress corresponding to the deformation of the steel sheet due to the target rolling, based on the stress component converted into and released by the deformation appearing as the uneven shape and the stress component remaining in the steel sheet after deformation Are not described and suggested at all. SUMMARY OF THE INVENTION In view of the above problems, it is an object of the present invention to provide a deformation corresponding to the total stress and a deformation corresponding to the deformation corresponding to the deformation corresponding to the internal stress of the rolled steel sheet, And a calculation method and a rolling system for calculating a difference of deformation to be a predetermined size which is a target value.

The first, second and third modifications are defined as follows.

The difference between the deformation corresponding to the stress applied to the steel plate from the rolling apparatus and the deformation required to be the predetermined value as the target value is referred to as a first deformation. A deformation appearing as a concave-convex shape on the surface of the rolled steel sheet, which is a deviation from the target value, is referred to as a second deformation. The deformation corresponding to the internal stress of the rolled steel sheet is referred to as a third deformation.

The gist of the present invention is as follows.

(1) a step of detecting the shape of the steel sheet rolled by the rolling apparatus,

Calculating from the detected shape a second deformation appearing as a concave-convex shape on the surface of the plate which is a deviation from the target value of the rolled steel plate;

A correlation between the threshold value of the third modification indicating the deformation corresponding to the internal stress of the rolled steel sheet and the wavelength of the rolling direction component of the detected shape and the third transformation from the wavelength of the rolling direction component of the detected shape Wherein the correlation is determined based on a boundary condition determined by the detected shape, a plate thickness of the rolled steel plate, a plate width of the rolled steel plate, a tensile force of the rolled steel plate, A step operated by analysis,

And a step of calculating a first deformation representing a deformation corresponding to a stress applied to the steel plate from the rolling apparatus and a deformation to be made to a predetermined size as a target value by adding the second deformation and the third deformation .

(2) The distribution shape of the third modification is such that the width direction component is monotonously increased from the central portion of the steel plate, the first straight line, the monotone increase curve and the monotonous decrease curve, the one end of which is the center portion of the steel sheet and the other end is the end portion of the steel sheet, An arithmetic operation method (1) in which the arithmetic shape decreasing monotonously from the vicinity of the end portion of the steel sheet, and the shape selected from a bone shape decreasing monotonically from the central portion of the steel sheet and increasing monotonously from the vicinity of the end portion of the steel sheet .

(3) The method according to (1) or (2), wherein the correlation is calculated by the buckling equation.

(4) The correlation is calculated by the FEM, and is stored as a table showing the corresponding relationship between the wavelength of the rolling direction component of the detected shape and the threshold value of the third modification, Modified operation method.

(5) transmitting a signal representing the calculated first strain to the rolling apparatus, wherein the rolling apparatus is configured to control the rolling of the rolled steel sheet to a desired shape based on the calculated first deformation, (4).

(6) The method according to (5), further comprising detecting that an edge wave or a center wave is formed over at least a half wavelength.

(7) The computing method according to (5), wherein the computing device is controlled such that the first transformation is zero.

(8) A rolling apparatus for rolling a steel sheet,

A shape measuring system for detecting the shape of the steel sheet rolled by the rolling apparatus,

A second deformation indicating a deformation appearing as a concavo-convex shape on the surface of the sheet, which is a deviation from the target value of the rolled steel sheet, is calculated from the detected shape,

The correlation between the shape of the rolled steel sheet and the threshold of the third modification showing the deformation corresponding to the internal stress of the rolled steel sheet and the third deformation from the detected shape, , The thickness of the rolled steel sheet, the tensile strength of the rolled steel sheet, and the distribution shape of the third deformation, which are calculated by the buckling analysis,

The first deformation indicating the difference between the deformation corresponding to the stress applied to the steel sheet from the rolling apparatus and the deformation to be the predetermined value to be the target value is calculated by adding the second deformation and the third deformation,

And a signal indicating the calculated first strain is transmitted to the rolling apparatus,

And the rolling apparatus is controlled so as to bring the first deformation to a desired value based on the calculated first deformation.

According to the present invention, on the basis of the second deformation showing the deformation appearing as the concave-convex shape on the surface of the rolled steel sheet deviating from the target value and the third deformation corresponding to the internal stress of the rolled steel sheet, It becomes possible to calculate the first deformation indicating the difference between the deformation corresponding to the stress applied to the steel plate and the deformation to be the predetermined value to be the target value.

Further, according to the present invention, it is possible to improve the yield of the steel sheet when the tensile force of the rolled steel sheet is small. For example, in hot rolling, it becomes possible to improve the yield of a portion (also referred to as a rolled top) rolled during the period from the start of rolling until the winding tension is generated. In the hot rolling, it is also possible to improve the yield of the rolled portion (also referred to as rolled bottom portion) while the winding tension immediately before completion of rolling is decreasing.

1 is a circuit block diagram of an example of a rolling system.
2 is a functional block diagram of the operation unit.
Fig. 3 (a) is a view showing an analysis image obtained by plot-displaying an example of data analyzed by the shape data analysis unit, and Fig. 3 (b) is a diagram showing the relationship between the second modification and the position in the width direction of the steel sheet.
4 is a diagram showing a determination processing flow of the boundary condition determination section.
5A is a view schematically showing a boundary condition in the case where the shape of the deformation appearing as the concavo-convex shape on the plate surface of the steel sheet is an edge wave, (C) is a diagram schematically showing a boundary condition in a case where the shape of deformation appearing as a concavo-convex shape on the plate surface of the steel sheet is a quarter wave. Fig.
6A is a graph showing the displacement of the rolling direction component of the concavo-convex shape of the steel sheet, FIG. 6B is a graph showing the relationship between the average value of the plastic deformation distribution and the half- (C) is a diagram showing the correlation between the average value of the plastic deformation distribution and the half-wavelength of the rolling direction component of the concavo-convex shape of the steel sheet, and (d) Is a diagram showing the distribution of the computed third variant.
7A is a view showing the distribution from the widthwise center portion to the widthwise end portion of the second modified steel plate, FIG. 7B is a view showing the distribution from the widthwise central portion to the widthwise end portion of the steel plate of the third modification (C) is a view showing the distribution from the widthwise center portion to the widthwise end portion of the first modified steel sheet obtained by adding the second and third modifications. FIG.
8 is a diagram showing an example of a calculation flow for calculating the first variant.
9 is a circuit block diagram of another example of a rolling system.
10 is a diagram showing another example of the calculation flow for calculating the first variant.
11 is a circuit block diagram of another example of a rolling system.
12 is a diagram showing another example of the distribution of the third modification.

Hereinafter, a rolling system having a power supply selection circuit according to the present invention will be described with reference to Figs. First, the first embodiment of the rolling system will be described with reference to Figs.

1 is a circuit block diagram of the rolling system 1 according to the first embodiment.

The rolling system 1 has a strain gauge 10 and a hot tandem rolling apparatus 20 (hereinafter simply referred to as a rolling apparatus 20) for rolling the steel sheet 101 in the direction of arrow A. The rolling system 1 further includes a form system 30 for detecting the shape, thickness, plate width and tensile force of the rolled steel plate 101, a thickness gauge 31, a gauge 32, 33).

The transforming arithmetic unit 10 has an arithmetic operation unit 11, a storage unit 12, and an I / O unit 13. The hot tandem rolling apparatus 20 includes a plurality of stages 21 for sequentially rolling a steel sheet 101, a plurality of conveyor rolls 22 for conveying the steel sheet 101, And a rolling control device 23 for adjusting the position and the pressing force, respectively.

The computing unit 11 includes a central processing unit (CPU) and a digital signal processor (DSP). The calculation unit 11 calculates detection data received from the form system 30, the thickness gauge 31, the plate gauge 32 and the tension gauge 33 on the basis of a calculation program stored in the storage unit 12 And calculates a first variance? 1 indicating the difference between the deformation corresponding to the stress and the deformation for achieving the predetermined value as the target value.

The storage unit 12 has a nonvolatile memory for storing various programs and a volatile memory for primarily storing data. The storage unit 12 stores basic programs such as an OS necessary for executing the arithmetic program and the arithmetic program executed by the arithmetic unit 11. The storage unit 12 also stores detection data received from the form system 30, the thickness gauge 31, the plating gauge 32 and the tension gauge 33.

The I / O unit 13 converts the detection data transmitted from the form system 30, the thickness gauge 31, the platometer 32 and the tension gauge 33 into data that can be processed by the operation unit 11 . The detection data received by the I / O section 13 is stored in the storage section 12. The I / O section 13 transmits data processed by the arithmetic operation section 11 to the rolling control section 23.

The stands 21 of the plural stages each have a pair of upper and lower work rolls and a pair of reinforcement rolls arranged so as to sandwich the work roll. The number of stages of the stand 21 may be any number, but may be two, four, or six stages. Each of the plurality of stages 21 has a shape control actuator (not shown). The shape control actuator applies various kinds of various shapes such as a bender, a work roll shift, a fair cross, and the like to the steel plate 101 based on the control signal transmitted from the rolling control section 23, .

The shape system 30 has a plurality of point light sources and an image pickup device and picks up light from a plurality of point light sources sequentially irradiated on the upper surface of the steel plate 101 in a direction perpendicular to the rolling direction of the steel plate 101 , And the shape of the rolled steel plate 101 is detected.

The thickness meter 31 is an X-ray thickness meter, and detects the thickness of the steel sheet 101.

The plate thickness meter 32 is a spot-type laser light wave distance meter, and detects the plate width of the steel plate 101.

The tension meter 33 has two detection portions arranged at predetermined intervals, and detects the tensile force of the steel plate 101 by detecting detection holes formed in the steel plate 101 by the two detection portions.

Fig. 2 is a functional block diagram of the arithmetic operation unit 11 of the modification arithmetic operation unit 10. Fig.

The operation unit 11 has a shape data analysis unit 51, a second transformation operation unit 52, a boundary condition determination unit 53, a third transformation operation unit 54, and a first transformation operation unit 55 . The processing by these components 51 to 55 is carried out by the arithmetic operation unit 11 executing the arithmetic program stored in the storage unit 12. [

The shape data analyzing section 51 analyzes the shape of the steel sheet 101 detected by the shape measuring system 30 by detecting the wavelength 2L of the rolling direction component of the concavo-convex shape periodically appearing on the steel sheet 101, The displacement in the height direction of each point is analyzed.

3A is a diagram showing an analysis image 300 obtained by plot-displaying an example of data analyzed by the shape data analysis unit 51 from the shape of the steel plate 101 detected by the shape measurement system 30. As shown in FIG.

The analysis image 300 has an x coordinate, a y coordinate, and a z coordinate. The x-coordinate is a coordinate corresponding to the rolling direction at the central portion in the width direction of the steel strip 101. The y-coordinate is a coordinate corresponding to the width direction of the steel plate 101. The z-coordinate is a coordinate corresponding to the height direction of the steel plate 101.

The cross section of the sinusoidal shape of the analyzed image 300 corresponds to the cross section of the end portion in the width direction of the steel sheet 101. [ Since the shape of the deformation appearing as the concave-convex shape of the steel plate 101 is an edge wave, the analyzed image 300 has a sinusoidal-shaped cross section at the end in the width direction. When the shape of the deformation appearing as the concavo-convex shape of the steel strip 101 is the center wave, no concavo-convex shape is formed at the widthwise end of the steel strip 101, a sinusoidal shape cross section is generated on the x-coordinate.

Based on the data analyzed by the shape data analysis unit 51, the second modification calculation unit 52 calculates a second variance? 2 appearing as a concave-convex shape on the surface of the sheet, which is a deviation from the target value of the rolled steel sheet. First, the second deformation computing unit 52 sequentially computes the deformation? ' J having the j-th width position on the basis of equations (1) to (3).

Figure 112014034763169-pct00001

Figure 112014034763169-pct00002

Figure 112014034763169-pct00003

Here, dx ij is the distance between the detection points adjacent to each other in the x-axis direction, and dz ij is the distance in the z-axis direction between detection points corresponding to dx ij . L is a half wavelength of the rolling direction component of the concavo-convex shape periodically appearing on the steel plate 101, and? J is a height in the z direction of the central portion in the width direction of the steel plate 101 and a height Is a value including the value of strain? 2 . In the equation (3),? (J = 1) is the height in the z direction at the center in the width direction. The strain? ' J calculated by the equation (3) corresponds to the value of the second strain? 2 at the jth point from the width direction.

Fig. 3 (b) is a diagram showing the relationship between the calculated second strain epsilon 2 and the position in the width direction of the steel plate 101 based on equations (1) to (3).

The boundary condition determining unit 53 determines the shape of the deformation appearing as the concavo-convex shape on the plate surface of the steel plate 101 based on the data analyzed by the shape data analyzing unit 51 as the edge wave, the center wave, or the quarter wave .

4 is a diagram showing a determination processing flow of the boundary condition determination unit 53. Fig.

First, in step S1O1, the boundary condition determining unit 53 compares the height of the quarter-directional portion of the steel plate 101 with the height of the center portion and the end portion of the steel plate 101 in the width direction. If the boundary condition determining section 53 determines that the peak height of the quarter portion in the width direction of the steel plate 101 is high, the process proceeds to step S102. On the other hand, when the boundary condition determining section 53 determines that the peak height of the quarter portion in the width direction of the steel plate 101 is low, the process proceeds to Step S103.

When the boundary condition determining section 53 determines that the height of the quarter portion in the width direction of the steel plate 101 is high, in Step S102, the boundary condition determining section 53 determines the boundary condition determining section 53, It is determined that the shape of the deformation appearing as the uneven shape is a quarter wave.

If the boundary condition determining section 53 determines in step S1O1 that the height of the quarter portion in the width direction of the steel plate 101 is low, then in step S103, the boundary condition determining section 53 determines, And the height of the end portion.

If the boundary condition determining section 53 determines in step S1O3 that the height of the central portion in the width direction of the steel plate 101 is high, then in step S104, the boundary condition determining section 53 determines, It is determined that the shape of the deformation appearing as the uneven shape is a center wave.

If the boundary condition determining section 53 determines in step S1O3 that the height of the central portion in the width direction of the steel plate 101 is low, then in step S105, the boundary condition determining section 53 determines, It is determined that the shape of the deformation appearing as the uneven shape is an edge wave.

Fig. 5 is a view schematically showing a boundary condition determined by the concave-convex shape of the steel plate 101. Fig. Fig. 5 (a) shows a boundary condition when the shape of deformation appearing as a concave-convex shape on the plate surface of the steel sheet is an edge wave. Fig. 5 (b) shows the boundary condition in the case where the shape of deformation appearing as the concavo-convex shape on the plate surface of the steel sheet is the center wave. Fig. 5 (c) shows a boundary condition in the case where the shape of the deformation appearing as the concave-convex shape on the plate surface of the steel sheet is the quarter wave.

The boundary condition in the case where the shape of the deformation appearing as the concavo-convex shape on the plate surface of the steel sheet 101 shown in Fig. 5 (a) is the edge wave is the width direction in the central part of the width direction cross section And restrains the displacement in the height direction and restrains the rest at the ends.

The boundary condition in the case where the shape of the deformation appearing as the concavo-convex shape on the plate surface of the steel plate 101 shown in Fig. 5 (b) is the center wave is that the rotation around the rolling direction is restricted at the center of the C- Is a condition for constraining the displacement in the height direction.

The boundary condition in the case where the shape of the deformation appearing as the concavo-convex shape on the plate surface of the steel plate 101 shown in Fig. 5 (c) is a quarter wave is that the displacement in the width direction and the It is a condition to restrain displacement.

The third modification calculation unit 54 calculates a third modification? 3 indicating a deformation corresponding to the internal stress of the rolled steel plate 101. [ The third variant? 3 is determined by the plate thickness, the plate width, the tensile force of the rolled steel plate 101, the boundary conditions determined by the judgment of the boundary condition judging section 53 and the rolling conditions of the rolling Is calculated by the buckling analysis using the buckling equation based on the wavelength of the direction component.

The third modification calculation unit 54 obtains the solution of the buckling equation expressed by the equations (4) to (11) for each predetermined width direction position. The third modification calculation unit 54 determines a criterion of the third modification? 3 of the rolled steel sheet 101 from the obtained solution. The threshold value of the third modification? 3 determined by the third modification calculation unit 54 is a value indicating that the second deformation occurs in the steel plate 101 when deformation more than this value remains in the steel plate 101 . Here, in the case where deformation more than the threshold value of the third deformation? 3 remains in the rolled steel plate 101, it is assumed that the second deformation occurs in the rolled steel plate 101. [ That is, it is assumed that a deformation corresponding to a threshold value of at least the third deformation? 3 remains in the interior of the steel sheet 101 in which the second deformation occurs.

The third modification calculation unit 54 finds a solution satisfying F = 0 in Equation (4) as described in Non-Patent Document 1 to obtain a solution of the buckling equation of the modification? X * .

Figure 112014034763169-pct00004

Here, w denotes displacement in the height direction of the concavo-convex shape, subscript 1 denotes the minute displacement increment after buckling, and? M *

Figure 112014034763169-pct00005

And represents an average value of the plastic strain distribution? X * . B is the length of half the width of the rolled steel plate 101, h is the thickness of the rolled steel plate 101, and f is the tensile strength of the rolled steel plate 101. In addition, E represents the Young's modulus, and v represents the Poisson's ratio. Also,

Figure 112014034763169-pct00006

to be. Further, the widthwise component w (y) of the displacement in the height direction of the uneven shape of the rolled steel plate 101 is a cubic function having the center in the width direction as the origin as shown in the equation (7).

Figure 112014034763169-pct00007

On the other hand, the rolling direction component of the displacement in the height direction of the concavo-convex shape of the rolled steel sheet 101 is sinusoidal curve of wavelength 2L. When the solution of the buckling equation is found, the wavelength 2L is given as a variable within a predetermined range.

Fig. 6 (a) shows the rolling direction component of the concavo-convex shape of the steel plate 101. Fig. From this, the displacement of the concave-convex shape of the steel plate 101 becomes as shown in the equation (8).

Figure 112014034763169-pct00008

6 (b) and 9 (9), the widthwise component of the distribution of the third modification is a non-dimensional quadratic curve with the center in the width direction as the origin do.

Figure 112014034763169-pct00009

Further, if the equation (3) is simplified by integrating by a half wavelength L, the equation (10) is derived.

Figure 112014034763169-pct00010

In order to obtain the solution by discretizing the equation (10), the equation (10) is discretized as shown in the equation (11).

Figure 112014034763169-pct00011

Here, the right side is the integral of each element. Between by deploying the equation 11 in the matrix, as a general eigenvalue of discrete elements overall, plastic strain distribution ε x * mean values ε m * and the steel sheet 101, a half-wavelength L in the rolling direction component of the concavo-convex shape of the Correlation can be derived. The boundary condition determined based on the determination by the boundary condition determination unit 53 is applied when the solution of the equation (11) is found.

6C is a graph showing the correlation between the average value? M * of the plastic deformation distribution? X * calculated by the equation (11) and the half wavelength L of the rolling direction component of the uneven shape of the steel plate 101 to be. 6 (c), the value of the average value? M * of the plastic deformation distribution? X * is set to a value which is set at a value of the initial value by increasing the half wave length L of the rolling direction component of the concave- , Then it becomes a gradual decrease, takes a flat minimum value, and then gradually increases.

The third modification calculation unit 54 calculates the third modification operation unit 54 based on the correlation between the average value? M * of the plastic deformation distribution? X * and the half wavelength L of the rolling direction component of the concavo-convex shape of the steel plate 101 The strain? Ms corresponding to half wavelength L of the rolling direction component is determined. Here, the half wavelength L of the rolling direction component of the concavo-convex shape of the steel plate 101 is the value interpreted by the shape data analysis unit 51 from the shape of the steel plate 101 detected by the shape system 30.

Subsequently, the third modification calculation unit 54 calculates the third strain of the rolled steel plate 101 by associating the calculated strain? Ms with the distribution of the third strain of the width direction component represented by the quadratic curve that is non- The threshold value is determined. The threshold value of the third modified by the computer unit 54 is a modified operation ε ms to a value of the end of the third variation of the width-direction component represented by the dimensionless the secondary curve, the third strain ε 3 is determined.

6D is a diagram showing the relationship between the threshold value of the third modification? 3 determined by the third modification calculation unit 54 and the position in the width direction of the steel plate 101. In FIG. The strain? Ms is the third variation of the widthwise end of the steel sheet 101.

The first modification operation section 55 computes the first modification? 1 by adding the second modification? 2 calculated by the second modification operation section 52 and the third modification? 3 calculated by the third modification operation section 54 do.

Fig. 7A is a view showing the distribution from the widthwise center portion to the widthwise end portion of the steel plate 101 of the second variant? 2 . Fig. 7 (b) is a view showing the distribution from the widthwise center portion to the widthwise end portion of the steel plate 101 of the third modification? 3 . 7C is a diagram showing the distribution of the first strain? 1 obtained by adding the second strain? 2 and the third strain? 3 from the widthwise central portion to the widthwise ends of the steel sheet 101. FIG.

Next, the computation flow of the first variant? 1 by the deformation computing device 10 will be described.

Fig. 8 is a diagram showing the calculation flow of the first variant? 1 by the deformation calculating apparatus 10. Fig.

First, in step S201, the deformation computing device 10 reads the detection data stored in the storage unit 12. Then, The detected data read by the deforming calculation apparatus 10 is data detected by the form system 30, the thickness meter 31, the plate meter 32 and the tension meter 33, respectively.

Subsequently, in step S202, the shape data analyzing unit 51 calculates the wavelength 2L of the rolling direction component of the concave-convex shape periodically appearing on the steel plate 101 and the detection on the plane of the steel plate 101 The displacement in the height direction of each point is analyzed.

Subsequently, in step S203, the second modification calculation unit 52 calculates the deformation appearing as a convex-concave shape on the surface of the sheet, which is a deviation from the target value of the rolled steel sheet, based on the data analyzed by the shape data analysis unit 51 And calculates the second variant? 2 .

Subsequently, in step S204, the boundary condition determining unit 53 determines whether or not the shape of the deformation appearing as the concave-convex shape on the plate surface of the steel plate 101 is the edge wave, Center wave, or quarter wave.

Subsequently, in step S205, the third modification calculation unit 54 calculates a third modification? 3 indicating a deformation corresponding to the internal stress of the rolled steel plate 101. Then, The third variant? 3 is determined by the plate thickness, the plate width, the tensile force of the rolled steel plate 101, the boundary conditions determined by the judgment of the boundary condition judging section 53 and the rolling conditions of the rolling Is calculated by the buckling analysis based on the wavelength of the direction component.

Then, in step S206, the first transformation operation unit 55 computes the first transformation? 1 by adding the second transformation? 2 calculated in step S203 and the third transformation? 3 computed in step S205 .

The calculation flow of the arithmetic operation unit 11 has been described above. The calculation unit 11 has a shape data analysis unit 51, a second transformation operation unit 52, a boundary condition determination unit 53, a third transformation operation unit 54 and a first transformation operation unit 55, to as the concave-convex shape on a printing plate based on the third variation ε 3 is calculated from the second strain ε 2 and buckling equations appear calculates the first modified ε 1.

In the third modification? 3, there is an n-th mode in which the periods are different, but the operation unit 11 considers only the first mode. This is because it is theoretically unnecessary to consider the second or more mode in the range of the plate thickness and the plate width of the steel sheet to be subjected to the rolling system 1.

The hot tandem rolling apparatus 20 includes a plurality of stages 21 for sequentially rolling a steel sheet 101, a plurality of conveyor rolls 22 for conveying the steel sheet 101, And a rolling control device 23 for adjusting the position and the pressing force, respectively.

Rolling control apparatus 23 is a sequencer, based on the first variation ε 1 calculated by the processor 11, pressing down on the stand 21 of the plurality of stages by the PID control, so that the desired the rolled steel shapes where And the pressing force and the like. For example, the rolling control device 23 can control the pressing down conditions such as the pressing position and the pressing force of the stands 21 at the plural stages so as to make the first deformation of the rolled steel sheet zero. Further, the rolling control device 23 can control the pressing down conditions such as the pressing position and the pressing force of the stands 21 at the plural stages so that the edge wave having the steepness? Of 1% is formed. It is also possible to feedback-control the first deformation to a desired value by feeding back the first deformation calculated based on the second deformation and the third deformation to the rolling apparatus. Further, by controlling the pressing conditions such as the pressing position and the pressing force of the stands 21 at the plural stages so that the first deformation of the rolled steel sheet is zero, the deformation released when the rolled steel sheet is cut can be made zero , And the flatness of the steel sheet after cutting is also maintained.

The shape of the steel sheet 101 rolled by the plurality of stages 21 having the respective downward pressing conditions adjusted by the form system 30, the thickness gauge 31, the gauge gauge 32 and the tension gauge 33, And transmits the detection data to the arithmetic operation unit 10. [0050]

The arithmetic unit 10 calculates the first strain epsilon 1 calculated based on the detection data detected by the form system 30, the thickness gauge 31, the plate gauge 32 and the tension gauge 33, The steel plate 101 is fed back to the steel plate 101 by feedback.

The first embodiment of the rolling system has been described above.

Next, a second embodiment of the rolling system will be described with reference to Figs. 9 and 10. Fig.

9 is a circuit block diagram of the rolling system 2 according to the second embodiment.

The rolling system 2 is configured such that the deformation calculating apparatus 10 is connected to the upper calculating apparatus 40 instead of the thickness gauge 31, (1).

The upper calculation device 40 has a steel plate shape table 41 and a third modification calculation table 42. [

The steel sheet shape table 41 includes a correspondence between the identification number of the steel sheet rolled to the rolling apparatus 20, the estimated value of the sheet thickness and the sheet width of the rolled steel sheet, and the estimated value of the tensile strength of the rolled steel sheet.

The third modified operation table 42 includes the correlation between the average value? M * of the plastic deformation distribution? X * and the half wavelength L of the rolling direction component of the concavo-convex shape of the steel plate 101. The third modified arithmetic operation table 42 is a table in which the arithmetic operation unit 11 obtains the solution of the buckling equation expressed by the equations (4) to (11) by the finite element method (FEM) And includes a plurality of tables for each calculation condition. The calculation conditions of the FEM include the plate thickness of the rolled steel plate, the plate width, the unit tension, and the distribution shape of the third modification? 3 .

Fig. 10 is a diagram showing the calculation flow of the first variant? 1 in the rolling system 2. Fig.

In steps S301 to S304 and S306 of the arithmetic flow shown in Fig. 10, the same processing as steps S201 to S204 and S206 in the arithmetic flow shown in Fig. 8 is executed. In other words, the arithmetic flow shown in Fig. 10 differs from the arithmetic flow shown in Fig. 8 in the processing in step S305. Specifically, in the operation flow shown in FIG 10, the operation unit 11 is plate-shaped tables, instead of computing a third modified ε 3, obtain the solution of the buckling equation described by Equation (4) to (11) 41 and with reference to the third modified operation table 42 to determine a third modified ε 3.

The second embodiment of the rolling system has been described above.

Next, a third embodiment of the rolling system will be described with reference to Fig.

11 is a circuit block diagram of the rolling system 3 according to the third embodiment.

The rolling system 3 differs from the rolling system 1 shown in FIG. 1 in that a hot-reverse rolling apparatus 25 is disposed instead of the hot tandem rolling apparatus 20. As indicated by the arrow C, in the hot rolling apparatus 25, the steel sheet 103 is conveyed by the conveying rollers 22 so as to reciprocate in the left-right direction of the hot-side reverse 25. Therefore, the rolling system 3 has a form system 30, a plate thickness meter 31, a plate width meter 32 and a tension meter 33 disposed on one side, a form system 35 disposed on the other side, A thickness meter 36, a plating meter 37, and a tension meter 38. [ The calculation unit 10 calculates the first strain epsilon 1 based on the detection data of the form system 30, the thickness gauge 31, the plate gauge 32 and the tension gauge 33, ), based on the detection data of the thickness meter (36), pokgye plate 37 and the tensiometer 38, and calculates the first modified ε 1.

The third embodiment of the rolling system has been described above.

Next, the deformation of the rolling system will be described.

In the rolling systems 1 to 3, hot rolling has been described, but the rolling system is also applicable to cold rolling.

In the rolling systems 1 to 3, the deformation calculating apparatus 10 is not included in the hot tandem rolling apparatus 20 or the hot rolling apparatus 25, Or may be included in the rolling control device 23 of the rolling device 20. In the rolling system 2, the function and configuration of the strain gauge 10 may be included in the rolling control device 23, the contour meter 30, or the upper calculation device 40.

In the rolling system 1, the shape measuring system 30, the thickness gauge 31, the gauge meter 32 and the tension gauge 33 are disposed only on the outlet side of the final stage stand 21, Or may be disposed on all of the outlets of the stand 21. The control signal from the rolling control device 23 is output to all of the stages 21, but may be output only to the stage 21 at the final stage.

In the rolling system 2, the shape measuring system 30 is disposed only on the outlet side of the final stage stand 21, but may be disposed on all the outlet sides of the multiple stage stands 21. The control signal from the rolling control device 23 is output to all of the stages 21, but may be output only to the stage 21 at the final stage.

The rolling system 3 is also provided with a form system 35, a thickness gauge 36, a platemaker 36, and a tension gauge 33 in addition to the form system 30, the thickness gauge 31, 37 and the tension meter 38. The plate thickness meter 31, the plating meter 32 and the tension meter 33 may be provided on either the stand 21 or the stand 21.

Although the second modification operation unit 52 calculates the second modification? 2 based on the expressions (1) to (3), based on the expression (12) 2 variant? 2 may be calculated.

Figure 112014034763169-pct00012

When the detection data transmitted from the shaping system 30 includes only the data corresponding to the center portion and both ends in the width direction, the second modification calculation unit 52 calculates the width direction component of the concave- .

The detected data transmitted from the form system 30 corresponds to the center portion of the width direction, both ends thereof, and the quota portions (middle points of the center portion and the end portions) of the drive side (DS) and the work side In the case of only data, the second modification calculation unit 52 may approximate the width direction component of the concavo-convex shape to the second to fourth curves based on these data.

When the solution of the buckling equation is obtained, the distribution of the third deformation in the width direction is assumed to be a non-dimensionalized quadratic curve with the center in the width direction as the origin, A straight line, a cubic curve, or a quadratic curve. Further, when the solution of the buckling equation is solved, the third deformation calculating section 54 calculates the distribution of the third deformation in the width direction from the central portion of the steel sheet to a monotonous shape that monotonically increases from the vicinity of the end portion of the steel sheet do. Further, the distribution of the third deformation in the width direction may be a monolithic shape in which the monotonously decreases from the central portion of the steel sheet and monotonously increases from the vicinity of the end portion of the steel sheet. The distribution of the third modification is exemplified in equations (13) to (22) and Figs. 12 (a) to 12 (e).

Figure 112014034763169-pct00013

The shape measuring system 30 may also have a function of detecting that the edge wave or the center wave is formed over a length corresponding to half wavelength L. [ For example, the shape measuring system 30 has a function of detecting the height of both end portions and the central portion in the rolling direction, so that an edge wave appearing on the plate surface of the rolled steel sheet when the height becomes equal to the height of the tip of the rolled- It is detected that the center wave is formed across the half wavelength L. When the shape measuring system 30 detects that the edge wave or the center wave is formed at a length of at least half wavelength L from the tip of the rolled top portion, the half wave length detection signal is transmitted to the distortion calculation device 10. Upon receiving the half-wavelength detection signal, the deformation calculating apparatus 10 starts the processing of the arithmetic flow of the first variant? 1 shown in Fig. When the profile system 30 has a function of detecting that an edge wave or a center wave is formed over a predetermined length such as a half wavelength L or the like and detects an edge wave or a center wave of a predetermined length from the rolled- The processing of the calculation flow of the first variant? 1 can be started. Therefore, in the rolled-up top portion having a relatively low tension, the processing of the calculation process of the first variant? 1 can be started early, so that the flatness of the rolled steel sheet can be improved. Further, even in the rolled bottom portion where the tension is reduced, the flatness of the rolled steel sheet can be improved.

In the rolling system 2, the steel plate shape table 41 and the third transformation table 42 are arranged in the upper calculation device 40, It may be memorized. When the functions and configuration of the strain gage 10 are included in the rolling control device 23 or the contour meter 30, the steel plate shape table 41 and the third deformation calculation table 42 are controlled by the rolling control device (23) or the shape-measuring system (30).

In the rolling system 3, in the same manner as the rolling system 2, the deformation calculating apparatus 10 is provided with an upper calculating apparatus 40 (a second calculating apparatus) in place of the thickness gauge 31, the plate gauge 32 and the tension gauge 33 As shown in Fig.

Example

Two examples of the embodiment in which the thin steel sheet is rolled in the hot tandem rolling apparatus 20 shown in Fig. 1 and the embodiment in which the hot rolled steel sheet is rolled in the hot rolling apparatus 25 shown in Fig. 11 were carried out .

In the hot tandem rolling apparatus 20, a steel sheet having a plate thickness of 35 mm and a plate width of 1200 mm was rolled to form a steel sheet having a plate thickness of 3 mm and a plate width of 1200 mm. The tension at this time is 20 MPa. Further, the measurement data measured by the shape measuring system 30 is approximated by a quadratic curve. Based on the calculated first strain? 1 , the control signal generated by the rolling control device 23 is set to zero to make the first deformation of the rolled steel sheet zero, whereby the bending force of the work roll bender of the final stage stand 21 In real time.

As a result, the shape hit ratio of the thin steel sheet was improved by 20% compared to that of the conventional shape measuring system, compared with the shape hit ratio of the hot rolled steel sheet.

In the hot rolling device 25, a steel sheet having a plate thickness of 200 mm and a plate width of 2000 mm was rolled to form a steel sheet having a plate thickness of 15 mm and a plate width of 4000 mm. The tension at this time is OMPA. The measurement data measured by the shape measuring system 30 is approximated by a quadratic curve. Based on the calculated first strain? 1 , the bending force of the work roll bender after the next pass is corrected by a control signal generated by the rolling control device 23 so as to make the first strain of the rolled steel sheet zero .

As a result, the shape hit ratio of the rear steel sheet was improved by 15% in the post-reverse steel sheet compared with the conventional shape-based system.

It is to be understood that all the examples and conditions described herein are for the purpose of helping to understand the concept of the invention applied to the invention and technology and that the speci fi c examples and conditions are intended to limit the scope of the invention The construction of such an example of the specification does not indicate the advantages and disadvantages of the invention. While the embodiments of the invention have been described in detail, it should be understood that various changes, substitutions and alterations can be made without departing from the spirit and scope of the invention.

1, 2, 3: Rolling system
10:
20: Hot tandem rolling device
25: Hot reverse rolling device
30 and 35:

Claims (8)

A step of detecting the shape of the steel sheet rolled by the rolling apparatus,
Calculating a second deformation indicating a deformation appearing as a concavo-convex shape on the surface of the sheet, which is a deviation from a target value of the rolled steel sheet, from the detected shape;
A correlation between a threshold value of a third modification showing deformation corresponding to an internal stress of the rolled steel sheet and a wavelength of a rolling direction component of the detected shape and a correlation between a wavelength of a rolling direction component of a shape obtained from the detected shape Wherein the correlation is determined based on a boundary condition determined by the detected shape, a plate thickness of the rolled steel plate, a plate width of the rolled steel plate, a tension of the rolled steel plate, A step of calculating from the distribution shape of the third modification by a buckling analysis,
And a step of calculating a first deformation indicating a difference between deformation corresponding to the stress applied to the steel sheet from the rolling apparatus and deformation of the steel sheet due to the target rolling by adding the second deformation and the third deformation Wherein said method further comprises: The method according to claim 1,
The distribution shape of the third modification is such that the width direction component is monotonously increased from the central portion of the steel plate, the first straight line, the monotone increase curve and the monotonous decrease curve, one end of which is the center portion of the steel sheet, Wherein the shape of the steel plate is calculated from an arcuate shape decreasing monotonously from the vicinity of the end and a shape selected from a shape of a bone which is monotonically decreased from the central portion of the steel plate and monotonously increased from the vicinity of the end of the steel plate. The method according to claim 1,
Wherein the correlation is calculated by a buckling equation. The method according to claim 1,
Wherein the correlation is stored as a table obtained by an FEM and indicating a correspondence between a wavelength of a rolling direction component of the detected shape and a threshold value of the third modification. The method according to claim 1,
Further comprising the step of transmitting a signal indicating the calculated first strain to the rolling apparatus,
Wherein the calculating device is controlled so that the rolled steel sheet has a desired shape based on the calculated first deformation. 6. The method of claim 5,
And detecting that the edge wave or the center wave is formed over at least a half wavelength. 6. The method of claim 5,
Wherein the computing device is controlled such that the first transformation is zero. A rolling apparatus for rolling a steel sheet,
A shape measuring system for detecting the shape of the steel sheet rolled by the rolling apparatus,
From the detected shape, a second deformation indicating a deformation appearing as a concave-convex shape on the surface of the sheet, which is a deviation from the target value of the rolled steel sheet,
A correlation between a threshold value of a third modification showing a deformation corresponding to an internal stress of the rolled steel sheet and a wavelength of a rolling direction component of a shape obtained from the detected shape and a correlation between a rolling direction of a shape obtained from the detected shape Wherein the correlation is determined based on a boundary condition determined by the detected shape, a thickness of the rolled steel sheet, a width of the rolled steel sheet, a thickness of the rolled steel sheet, Tensile force and the distribution shape of the third modification,
Calculating a first deformation indicating a difference between deformation corresponding to the stress applied to the steel plate from the rolling apparatus and deformation of the steel plate due to the target rolling by adding the second deformation and the third deformation,
And a transforming arithmetic unit for transmitting a signal representing the calculated first deformation to the rolling apparatus,
Wherein the rolling apparatus is controlled so as to bring the rolled steel sheet into a desired shape based on the calculated first deformation.
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