Field
[0001] The present invention relates to a cold rolling method and cold rolling equipment.
Background
[0002] In general, when a rolled material such as a cold-rolled thin steel sheet is cold-rolled,
it is desirable to perform cold rolling in a state in which the sheet passing property
of the rolled material is stabilized by improving the shape (or flatness) of the rolled
material while maintaining good thickness accuracy in the longitudinal direction and
the width direction of the rolled material. On the other hand, for the purpose of
suppressing fuel consumption by weight reduction and the like, there is an increasing
need for a difficult-to-roll material such as a thin hard material having a high load
and a thin sheet thickness before rolling. During cold rolling of such a difficult-to-roll
material, in order to suppress a rolling load, the difficult-to-roll material is thinned
by hot rolling in the preceding process and then sent to the cold rolling process.
[0003] In recent years, many of the control factors of the cold rolling mill are automatically
controlled by an actuator mounted on the cold rolling mill. As a method of automatically
controlling the shape, shape feedback (FB) control is often used in which a shape
meter is installed on the delivery side of the rolling mill, and leveling and bender
of the rolling mill are automatically controlled using shape data of the shape meter.
However, at the time of cold rolling of the difficult-to-roll material as described
above, there is a case where the material is joined to the next coil in a state where
the camber of the coil tip and tail end due to the shape defect at the time of hot
rolling remains. When the camber or the shape defect sharply fluctuates along the
coil longitudinal direction, variations with respect to roll deflection correction
represented by a roll gap, leveling, a work roll bender or an intermediate roll shift
of a cold rolling mill, and roll expansion by a thermal crown, as well as a rolling
load (and an accompanying calculated forward slip or torque), cannot be absorbed by
automatic control. For this reason, the shape of the rolled material after cold rolling
is often poor, and sheet breakage frequently occurs during cold rolling. A weak point
of the FB control is that it cannot cope with sudden fluctuations, and feed-forward
(FF) control is also used to compensate for this.
[0004] Patent Literature 1 discloses an FF control method of predicting unilateral elongation
or camber of a steel sheet on the entry side of a rolling mill from difference tension
measured by a difference tensiometer on the upstream side of the rolling mill, and
controlling leveling so as to correct the predicted unilateral elongation or camber.
In addition, Patent Literature 2 discloses a method for suppressing a rollability
defect by performing FF control on a bender of a rolling mill on the basis of a twist
of steel sheet shape data of a cross-sectional profile meter on the upstream side
of the rolling mill and a C-warping height. In addition, Patent Literature 3 discloses
a method for suppressing rollability defect by stopping rolling when the twist of
the steel sheet shape data of the cross-sectional profile meter on the upstream side
of the rolling mill and the C-warping height are out of a predetermined range.
Citation List
Patent Literature
Summary
Technical Problem
[0006] In the method disclosed in Patent Literature 1, the difference tension between the
stands is measured, and the average unilateral elongation or camber between the stands
is predicted from the difference tension.
Therefore, it does not matter if the change in the unilateral elongation or the camber
is gentle, but in a case where the change is rapid as in the joint point, the unilateral
elongation or the camber predicted from the difference tension and the unilateral
elongation or the camber on the delivery side of the rolling mill are different, and
thus, it is not possible to perform control well. This is because if the unilateral
elongation or camber is too large, the steel sheet cannot be stuck to the roll, and
the difference tension cannot be measured by the difference tensiometer. In the methods
disclosed in Patent Literature 2 and Patent Literature 3, in order to calculate unilateral
elongation or camber of a steel sheet having large unilateral elongation or camber,
a cross-sectional shape of the steel sheet is measured to calculate the twist and
C-warping height of the cross section of the steel sheet. However, the twist and the
C-warping height are only a part of the steel sheet shape information, and it is difficult
to calculate accurate unilateral elongation or camber from the cross-sectional shape,
so that it is not possible to perform control well.
[0007] The present invention has been made in view of the above problems, and an object
of the present invention is to provide a cold rolling method and cold rolling equipment
capable of performing cold rolling with high productivity and yield while securing
stability of cold rolling even when cold rolling a difficult-to-roll material having
a high load and a small sheet thickness before rolling.
Solution to Problem
[0008] To solve the problem and achieve the object, (1) a cold rolling method according
to the present invention includes: a calculation step of calculating a leveling amount
of a rolling mill using an out-of-plane deformation amount of a steel sheet measured
on an upstream side of the rolling mill; a control step of controlling leveling of
the rolling mill on a basis of the leveling amount calculated in the calculation step;
and a cold rolling step of applying cold rolling to the steel sheet using the rolling
mill controlled by the control step.
[0009] (2) Moreover, in the cold rolling method according to above (1), the out-of-plane
deformation amount of the steel sheet may be an out-of-plane deformation amount measured
on the upstream side of the rolling mill and immediately upstream or immediately downstream
of a steering device that changes a conveying direction of the steel sheet.
[0010] (3) Moreover, in the cold rolling method according to above (1) or (2), when the
out-of-plane deformation amount of the steel sheet measured on the upstream side of
the rolling mill exceeds a threshold value, the cold rolling may not be performed
on the steel sheet in the cold rolling step.
[0011] (4) Moreover, in the cold rolling method according to any one of above (1) to (3),
in the calculation step, the leveling amount may be calculated using a value obtained
as a result of applying a leveling amount calculation program to the out-of-plane
deformation amount, and the leveling amount calculation program may be a machine-learned
program using each out-of-plane deformation amount of a plurality of steel sheets
as an input variable and each leveling amount obtained as a result of physical simulation
with respect to each out-of-plane deformation amount as an objective variable.
[0012] (5) Moreover, in the cold rolling method according to any one of above (1) to (4),
in the calculation step, the leveling amount may be calculated using an out-of-plane
deformation amount of the steel sheet on the upstream side of the rolling mill and
an out-of-plane deformation amount of the steel sheet measured on a downstream side
of the rolling mill.
[0013] (6) Moreover, a cold rolling equipment according to the present invention includes:
a rolling mill that applies cold rolling to a steel sheet; a shape measurement device
that is disposed on an upstream side of the rolling mill and measures an out-of-plane
deformation amount of the steel sheet; a calculation device that calculates a leveling
amount of the rolling mill using the out-of-plane deformation amount of the steel
sheet measured by the shape measurement device; and a control device that controls
leveling of the rolling mill on a basis of the leveling amount calculated by the calculation
device.
[0014] (7) Moreover, the cold rolling equipment according to above (6) may further include
a steering device that is disposed on the upstream side of the rolling mill and changes
a conveying direction of the steel sheet, wherein the out-of-plane deformation amount
of the steel sheet may be an out-of-plane deformation amount measured on the upstream
side of the rolling mill and immediately upstream or immediately downstream of the
steering device.
[0015] (8) Moreover, in the cold rolling equipment according to above (6) or (7), when the
out-of-plane deformation amount of the steel sheet measured on the upstream side of
the rolling mill exceeds a threshold value, the rolling mill may not execute the cold
rolling on the steel sheet.
[0016] (9) Moreover, in the cold rolling equipment according to any one of above (6) to
(8), the calculation device may calculate the leveling amount using a value obtained
as a result of applying a leveling amount calculation program to the out-of-plane
deformation amount, and the leveling amount calculation program may be a machine-learned
program using each out-of-plane deformation amount of a plurality of steel sheets
as an input variable and each leveling amount obtained as a result of physical simulation
with respect to each out-of-plane deformation amount as an objective variable.
[0017] (10) Moreover, in the cold rolling equipment according to any one of above (6) to
(9), the calculation device may calculate the leveling amount using an out-of-plane
deformation amount of the steel sheet on the upstream side of the rolling mill and
an out-of-plane deformation amount of the steel sheet measured on a downstream side
of the rolling mill.
Advantageous Effects of Invention
[0018] The cold rolling method and the cold rolling equipment according to the present invention
have an effect of being able to perform cold rolling with high productivity and yield
while securing stability of cold rolling even when cold rolling a difficult-to-roll
material having a high load and a small sheet thickness before rolling.
Brief Description of Drawings
[0019]
FIG. 1 is an overall view illustrating a schematic configuration of a cold rolling
line according to an embodiment.
FIG. 2 is a diagram illustrating an example of a method of measuring an out-of-plane
deformation amount.
FIG. 3 is a diagram illustrating a measurement result of unilateral elongation or
camber which is an out-of-plane deformation amount of a steel sheet measured by a
shape measurement device installed on a delivery side of an entry-side looper.
FIG. 4 is an explanatory diagram of leveling control.
FIG. 5 is a diagram illustrating transition of true unilateral elongation or camber
as a result of a simulation in which a steel sheet having unilateral elongation or
camber is cold rolled.
FIG. 6 is a diagram illustrating transition of unilateral elongation or camber converted
from difference tension as a result of simulation of cold rolling of a steel sheet
having unilateral elongation or camber.
FIG. 7 is a diagram illustrating transition of true unilateral elongation or camber
as a result of a simulation in which a steel sheet having unilateral elongation or
camber is cold rolled when leveling FB control is performed.
FIG. 8 is a diagram illustrating transition of unilateral elongation or camber converted
from difference tension as a result of a simulation in which a steel sheet having
unilateral elongation or camber is cold rolled when leveling FB control is performed.
FIG. 9 is a diagram illustrating transition of true unilateral elongation or camber
as a result of performing leveling FB control so as to reduce true unilateral elongation
or camber on the delivery side of a first rolling mill by simulation.
FIG. 10 is a diagram illustrating transition of unilateral elongation or camber converted
from the difference tension as a result of performing the leveling FB control so as
to reduce the true unilateral elongation or camber on the delivery side of the first
rolling mill by simulation.
FIG. 11 is a diagram illustrating transition of true unilateral elongation or camber
as a result of simulation in which a steel sheet S having unilateral elongation or
camber is cold rolled by performing leveling FF control and leveling FB control.
FIG. 12 is a diagram illustrating transition of unilateral elongation or camber converted
from difference tension as a result of a simulation in which a steel sheet S having
unilateral elongation or camber is cold rolled by performing leveling FF control and
leveling FB control. Description of Embodiments
[0020] Hereinafter, embodiments of a cold rolling method and cold rolling equipment according
to the present invention will be described. The cold rolling equipment according to
an embodiment includes a rolling mill that applies cold rolling to a steel sheet,
a shape measurement device that is disposed on an upstream side of the rolling mill
and measures an out-of-plane deformation amount of the steel sheet, a calculation
device that calculates a leveling amount of the rolling mill using the out-of-plane
deformation amount of the steel sheet measured by the shape measurement device, and
a control device that controls the leveling of the rolling mill on the basis of the
leveling amount calculated by the calculation device. The cold rolling method applied
to the cold rolling equipment according to the embodiment includes a calculation step
of calculating the leveling amount of the rolling mill using the out-of-plane deformation
amount of the steel sheet measured on the upstream side of the rolling mill, a control
step of controlling the leveling of the rolling mill on the basis of the leveling
amount calculated in the calculation step, and a cold rolling step of applying cold
rolling to the steel sheet using the rolling mill controlled by the control step.
Note that the present invention is not limited by the present embodiment.
[0021] FIG. 1 is an overall view illustrating a schematic configuration of cold rolling
equipment 1 according to an embodiment. In the cold rolling equipment 1 according
to the embodiment, a pay-off reel 2 for discharging the steel sheet S from the coil
is installed at the most upstream portion. In addition, the cold rolling equipment
1 according to the embodiment is provided with a welding machine 3 that joins the
tail end of the steel sheet S that has been delivered and the tip end of the steel
sheet that has been delivered from the next coil, and a notcher 4 that cuts the steel
sheet S in a semi-elliptical shape at the end of the welding line in order to suppress
stress concentration. The cold rolling equipment 1 according to the embodiment is
provided with an entry-side looper 5 for absorbing a line speed difference between
the joining process and the rolling process. A steering device 6 having CPC meandering
control is installed on a delivery side of the entry-side looper 5, and a shape measurement
device 7 is installed immediately downstream of the steering device 6. The shape measurement
device 7 may be disposed immediately upstream of the steering device 6. In the cold
rolling equipment 1 according to the embodiment, a deflector steering roll 8 having
CPC meandering control, a bridle roll group 9 for applying a tension step between
a rolling process and an upstream process thereof, and a deflector steering roll 10
having CPC meandering control immediately downstream of the bridle roll group 9 are
installed. In the cold rolling equipment 1, a 5-high continuous cold rolling mill
11 for rolling the steel sheet S is installed. In the cold rolling equipment 1, a
bridle roll 12 for forming a tension step between a rolling step and a downstream
step thereof, a cutting machine 13, and a tension reel 14 for winding the steel sheet
S are installed.
[0022] At the tip end and the tail end of the steel sheet S delivered from the pay-off reel
2, there is a shape defective portion accompanied by unilateral elongation or camber
derived from the hot rolling process. In addition, when the steel sheet S is not straight
at the time of joining by the welding machine 3, the steel sheet S is welded in a
"chevron" shape, and the unilateral elongation or camber is further increased. When
such a shape defective portion is cold-rolled by the cold rolling mill 11, cracking
occurs at the width end of the steel sheet S during the rolling process, and breaking
occurs from the cracking as a starting point. In addition, when a difference tension
between rolling mills (between stands) of the cold rolling mill 11 due to unilateral
elongation or camber is applied to the steel sheet S, breaking occurs due to cracking,
or breaking occurs even if the steel sheet S is not cracked. The difference tension
refers to a tension difference between both ends in the width direction of the steel
sheet S detected by a pressure detection unit such as a tensiometer disposed on the
delivery side of the rolling mill.
[0023] Here, the geometry of the shape of the steel sheet S will be described. A shape defect
occurs in the steel sheet S mainly due to unevenness in the width direction of elongation
in the longitudinal direction in the rolling process. The shape defect is superposition
such as unilateral elongation or camber or an edge wave (center buckle), and the shape
defect that most greatly affects breakage during rolling is unilateral elongation
or camber. In particular, in the case of a thin sheet, out-of-plane deformation derived
from unilateral elongation or camber disappears when the thin sheet is cut, and it
is difficult to measure the unilateral elongation or camber. On the other hand, the
edge wave (center buckle) can be measured because out-of-plane deformation remains
even in the case of a cut sheet.
[0024] When the steel sheet S is a curve, the geometric definition of the curvature κ of
the unilateral elongation or the camber can be expressed by the following Formula
(1).

[0025] Here, in the above Formula (1), x is a line direction position, v is displacement
in the width direction at the width center, w is displacement in the vertical direction
at the width center, and ω is a twist angle. Since it is difficult to calculate the
above Formula (1), it is considered as a longitudinal average of single elongation
or camber. The average curvature K can be defined as the following Formula (2).

[0026] Here, in the above Formula (2), L is a length for averaging. When the above Formula
(1) is substituted into the above Formula (2), the average curvature K can be expressed
by the following Formula (3).

[0027] The first term on the right side of the above Formula (3) is an amount observed as
meandering or skew. The second term on the right side of the above Formula (3) is
an amount observed as out-of-plane deformation. From the above Formula (3), it can
be seen that even if only meandering is observed, unilateral elongation or camber
is not found. If meandering does not occur, the first term on the right side of the
above Formula (3) becomes zero, and the average unilateral elongation or camber can
be obtained only from the observation amount of out-of-plane deformation. Here, when
the twist angle ω is small, the above Formula (3) becomes the following Formula (4).

[0028] Further, the above Formula (4) can be modified to the following Formula (5).

[0029] Here, the observation amount of the out-of-plane deformation of the second term on
the right side of the above Formula (5) will be considered. Assuming that the twist
angle ω is small, the deflection W of the steel sheet S is expressed by the following
Formula (6).

[0030] Here, in the above Formula (6), y is a position in the width direction. The length
l of the steel sheet S along the bent curved surface can be expressed by the following
Formula (7).

[0031] Further, the elongation difference rate Δε
l can be defined as in the following Formula (8).

[0032] Here, in the above Formula (8), l
0 is an average length in the width direction, and can be expressed by the following
Formula (9).

[0033] Here, in the above Formula (9), b is a sheet width. When the above Formula (6) and
the above Formula (7) are substituted into the above Formula (9), the following Formula
(10) is established.

[0034] Here, when the deflection w and the twist angle ω are small, the above Formula (10)
becomes the following Formula (11).

[0035] Further, when the above Formula (11) is further modified, the following Formula (12)
is obtained.

[0036] When the above Formula (6), the above Formula (7), and the above Formula (12) are
substituted into the above Formula (8), the elongation difference rate Δε
l can be expressed by the following Formula (13).

[0037] The curvature K
1 of the average unilateral elongation (average camber) converted from the elongation
difference rate Δε
l can be defined as in the following Formula (14).

[0038] Then, when the above Formula (13) is substituted into the above Formula (14), the
following Formula (15) is obtained.

[0039] The above Formula (15) is the second term on the right side of the above Formula
(5), and the above Formula (5) can be expressed as in the following Formula (16).

[0040] From the measured value of the out-of-plane deformation amount or the gradient thereof
measured by the shape measurement device 7, it is possible to calculate the curvature
K
1 by using the above Formula (14). When there is no meandering of the steel sheet S
and the first term on the right side of the above Formula (14) is zero, the curvature
K
1 of the unique unilateral elongation or camber is the same as the measurable curvature
K
1. Since it is difficult to measure the first term on the right side of the above Formula
(16) related to the meandering of the above Formula (16), it is desirable to measure
the out-of-plane deformation amount of the steel sheet S by the shape measurement
device 7 at a place where the steel sheet S does not meander.
[0041] Here, the out-of-plane deformation amount is one of indices indicating camber and
unilateral elongation of the steel sheet S. As a method of measuring the out-of-plane
deformation amount, the following two methods are conceivable with reference to FIG.
2. FIG. 2 is a diagram illustrating an example of a method of measuring an out-of-plane
deformation amount.
[0042] As a first method, as illustrated in FIG. 2(a), a normal force is applied to the
steel sheet S to smooth the wrinkles by winding the steel sheet S around the roll
20 or pressing the steel sheet S, and the camber (unilateral elongation) of the steel
sheet S in which the wrinkles are smoothed is measured.
[0043] As a second method, as illustrated in FIG. 2(b), the steel sheet S is straightened
in the longitudinal direction (not meandering), and the camber (unilateral elongation)
is converted from the height of the wrinkle of the steel sheet S.
[0044] In the first method, if the length of the steel sheet S in the longitudinal direction
for smoothing wrinkles is short, it is difficult to perform measurement. Therefore,
it is desirable to employ the second method, and in the present embodiment, the out-of-plane
deformation amount is measured (converted) by the second method.
[0045] In the field of rolling, the shape of the asymmetric component is often expressed
by the difference between the right and left sides (shape parameter) of the elongation
difference rate distribution. A shape parameter λ
1 representing unilateral elongation or camber is defined as in the following Formula
(17).

[0046] The unit of the shape parameter λ
1 is an I-unit. Here, y' can be expressed by the following Formula (18).

[0047] Then, when the above Formula (18) and the above Formula (14) are substituted into
the above Formula (17), the following Formula (19) is obtained.

[0048] As can be seen from the above Formula (19), the shape parameter λ
1 has a proportional relationship with the curvature K
1.
[0049] FIG. 3 is a diagram illustrating a measurement result of unilateral elongation or
camber which is an out-of-plane deformation amount of the steel sheet S measured by
the shape measurement device 7 installed on the delivery side of the entry-side looper
5. In FIG. 3, the horizontal axis represents time, and the vertical axis represents
the shape parameter λ
1 defined by the above Formulae (17) and (19). In this case, the shape parameter λ
1 rapidly changes at the joining point. In the preceding material, there is no unilateral
elongation or camber derived from the hot rolling process, and in the succeeding material,
there is unilateral elongation or camber derived from the hot rolling process, and
the size of the unilateral elongation or camber gradually decreases as the tip end
is separated.
[0050] In order to detect the unilateral elongation or the camber by the shape measurement
device 7, it is preferable that the steel sheet S does not meander, and in the present
embodiment, the shape measurement device 7 is installed immediately downstream of
the steering device 6. The shape measurement device 7 is a real-time 3D laser scanner
that rotates a plurality of laser beams and measures a distance and a rotation angle
between a rotation center and a surface of a steel sheet to measure a position of
the surface of the steel sheet as a point cloud. The rotation cycle of the laser beam
is, for example, 0.1 seconds. By using the 3D scanner as the shape measurement device
7, the shape measurement device 7 can be installed outside the line with a single
sensor, so that there are few installation restrictions and maintenance is simple.
In addition, since the surface of the steel sheet can be measured instantaneously,
there are advantages that it is possible to perform measurement without depending
on the line speed, with vibration resistance, and in a non-contact manner, and thus
a large shape can be measured. Since the position of the point cloud has a measurement
error and is an irregular point cloud, the measurement error is removed by the smoothing
thin plate spline method to calculate the steel sheet curved surface W from the point
cloud. Note that, since it takes time to calculate the smoothing thin plate spline
method, it is preferable to use, for example, the technique disclosed in
Japanese Patent Application Laid-Open No. 2017-49071 in order to increase the calculation speed. Then, the curvature K
1 is calculated from the above Formula (14) and the steel sheet curved surface W, and
the shape parameter λ
1 is further calculated from the above Formula (19).
[0051] Here, when the unilateral elongation or camber as illustrated in FIG. 3 is present
in the steel sheet S on the entry side of the rolling mill, the steel sheet S is broken
by the cold rolling by the cold rolling mill 11. Since the shape measurement device
7 is installed on the upstream side of the cold rolling mill 11, information on the
shape of the steel sheet S on the entry side of the rolling mill can be known before
the cold rolling. The risk of the steel sheet S breaking can be predicted by the magnitude
of the unilateral elongation or the camber obtained from the information. Therefore,
when the unilateral elongation or camber on the entry side of the rolling mill is
too large, it is possible to perform an operation so as not to perform rolling in
order to prevent breakage of the steel sheet S. In the cold rolling equipment 1 according
to the embodiment, the shape measurement device 7 measures, as the out-of-plane deformation
amount of the steel sheet S, the unilateral elongation or the camber on the entry
side of the rolling mill. When the measured out-of-plane deformation amount (unilateral
elongation or camber) exceeds a preset threshold value, the cold rolling is not performed
on the steel sheet S by the cold rolling mill 11. However, if rolling is not performed,
the portion does not become a product, and thus the yield decreases.
[0052] Therefore, the leveling control will be described with reference to FIG. 4 in order
to more actively utilize the information on the shape of the steel sheet S on the
entry side of the rolling mill. In general, leveling FB control is performed in order
to correct the unilateral elongation or the camber of the steel sheet S in the cold
rolling mill 11. As illustrated in FIG. 4, in the cold rolling mill 11, a first shape
meter roll 111a, a second shape meter roll 111b, a third shape meter roll 111c, a
fourth shape meter roll 111d, and a fifth shape meter roll 111e are installed on the
delivery sides of a first rolling mill 110a, a second rolling mill 110b, a third rolling
mill 110c, a fourth rolling mill 110d, and a fifth rolling mill 110e, respectively.
In the following description, the first rolling mill 110a, the second rolling mill
110b, the third rolling mill 110c, the fourth rolling mill 110d, and the fifth rolling
mill 110e are also simply referred to as a rolling mill 110 unless otherwise distinguished.
In addition, the first shape meter roll 111a, the second shape meter roll 111b, the
third shape meter roll 111c, the fourth shape meter roll 111d, and the fifth shape
meter roll 111e are also simply referred to as a shape meter roll 111 unless otherwise
distinguished.
[0053] The shape meter roll 111 measures a contact force distribution between the shape
meter roll 111 and the steel sheet S, and estimates unilateral elongation or camber,
which is an out-of-plane deformation amount of the steel sheet S, from the contact
force distribution. Although the measurement method of the shape meter roll 111 has
high accuracy, it is necessary to bring the shape meter roll into contact with the
steel sheet S. Therefore, it is difficult to measure a large shape defect. Therefore,
merely estimating the unilateral elongation or the camber from the contact force distribution
measured by the shape meter roll 111 may cause breakage due to the camber stress in
rolling by the rolling mill 110.
[0054] The cold rolling mill 11 is provided with a first leveling control device 151a, a
second leveling control device 151b, a third leveling control device 151c, a fourth
leveling control device 151d, and a fifth leveling control device 151e respectively
corresponding to the first rolling mill 110a, the second rolling mill 110b, the third
rolling mill 110c, the fourth rolling mill 110d, and the fifth rolling mill 110e.
In the following description, the first leveling control device 151a, the second leveling
control device 151b, the third leveling control device 151c, the fourth leveling control
device 151d, and the fifth leveling control device 151e are also simply referred to
as a leveling control device 151 unless otherwise distinguished.
[0055] The leveling control device 151 calculates a leveling target value by multiplying
a value obtained by time-integrating the unilateral elongation or the camber on the
delivery side of the rolling mill by a gain. The leveling target value is equal to
the pressing position difference between the left and right bearings of the backup
roll of the rolling mill 110, and consequently, the pressing amount difference between
one side in the sheet thickness direction and the other side in the sheet thickness
direction (the pressing amount difference between the left and right of the steel
sheet S) with the center portion of the steel sheet S in the sheet thickness direction
as a boundary. Then, the leveling FB control is performed on the corresponding rolling
mill 110 so as to obtain the calculated leveling target value. By performing such
leveling FB control on the rolling mill 110, the contact force distribution on the
shape meter roll 111 on the delivery side of the rolling mill becomes symmetric, and
as a result, the unilateral elongation or the camber can be reduced. However, as a
drawback of the leveling FB control, it is not possible to cope with a sudden disturbance,
and it is not sufficient to cope with unilateral elongation or camber as illustrated
in FIG. 3.
[0056] In the cold rolling equipment 1 according to the embodiment, the 5-high rolling mill
110 is provided in the cold rolling mill 11, but the rolling mill 110 to be controlled
to the leveling target value may include at least the rolling mill 110 provided most
upstream in the conveying direction of the steel sheet S. Therefore, in the cold rolling
equipment 1 according to the embodiment, one or more rolling mills 110 including the
rolling mill 110 (the first rolling mill 110a) provided on the most upstream side
are targets of the leveling FB control.
[0057] FIG. 5 is a diagram illustrating transition of true unilateral elongation or camber
as a result of a simulation in which a steel sheet S having unilateral elongation
or camber is cold rolled. FIG. 6 is a diagram illustrating transition of the unilateral
elongation or the camber converted from the difference tension as a result of the
simulation in which the steel sheet S having the unilateral elongation or the camber
is cold rolled. The unilateral elongation or the camber on the entry side of the first
rolling mill is based on the unilateral elongation or the camber illustrated in FIG.
3.
[0058] As illustrated in FIG. 5, the true unilateral elongation or camber on the delivery
side of the first rolling mill is smaller than the true unilateral elongation or camber
on the entry side of the first rolling mill. This is considered to be because the
rolling phenomenon itself has an action of reducing the unilateral elongation or the
camber. However, as illustrated in FIG. 5, in a time (0 to 10 seconds) in which the
true unilateral elongation or camber on the entry side of the first rolling mill rapidly
changes, the magnitude of the true unilateral elongation or camber on the delivery
side of the first rolling mill also increases.
[0059] The true unilateral elongation or camber on the delivery side of the first rolling
mill illustrated in FIG. 5 is compared with the unilateral elongation or camber converted
from the difference tension on the delivery side of the first rolling mill illustrated
in FIG. 6. Then, it can be seen that, in the time (0 to 10 seconds) in which the true
unilateral elongation or camber rapidly changes, the unilateral elongation or camber
converted from the difference tension is different from the true unilateral elongation
or camber. On the other hand, in a time (10 to 50 seconds) in which the change is
relatively gentle, the both are relatively matched. Further, the unilateral elongation
or camber converted from the difference tension on the delivery side of the first
rolling mill and the unilateral elongation or camber converted from the difference
tension in the first shape meter roll 111a illustrated in FIG. 6 relatively coincide
with each other.
[0060] From the above, it can be seen that the unilateral elongation or camber converted
from the difference tension in the first shape meter roll 111a disposed on the delivery
side of the first rolling mill 110a does not necessarily coincide with the true unilateral
elongation or camber. Therefore, it is not possible to observe true unilateral elongation
or camber in the actual machine. Therefore, the results of a simulation in which the
steel sheet S having unilateral elongation or camber in the case of performing the
leveling FB control is cold rolled are illustrated in FIGS. 7 and 8.
[0061] FIG. 7 is a diagram illustrating transition of true unilateral elongation or camber
as a result of a simulation in which a steel sheet S having unilateral elongation
or camber is cold rolled in a case where the leveling FB control is performed. FIG.
8 is a diagram illustrating transition of the unilateral elongation or camber converted
from the difference tension as a result of the simulation in which the steel sheet
S having the unilateral elongation or camber is cold rolled when the leveling FB control
is performed.
[0062] In the leveling FB control, the leveling of the first rolling mill 110a to the fifth
rolling mill 110e is controlled so as to reduce the magnitude of the difference tension
in each of the first shape meter roll 111a to the fifth shape meter roll 111e disposed
on the delivery side of each of the first rolling mill 110a to the fifth rolling mill
110e. Therefore, the magnitude of the unilateral elongation or camber converted from
the difference tension illustrated in FIG. 8 can be made significantly smaller than
the magnitude of the unilateral elongation or camber converted from the difference
tension illustrated in FIG. 6. On the other hand, the magnitude of the true unilateral
elongation or camber on the delivery side of the first rolling mill illustrated in
FIG. 7 is smaller at the time (10 to 50 seconds) in which the true unilateral elongation
or camber gently changes than the true unilateral elongation or camber on the delivery
side of the first rolling mill illustrated in FIG. 5. However, in the time (0 to 10
seconds) in which the true unilateral elongation or camber rapidly changes, the time
is substantially the same, and the leveling FB control cannot be performed.
[0063] Originally, it is desired to reduce the magnitude of the true unilateral elongation
or camber on the delivery side of the first rolling mill, but it is not possible to
observe them in an actual machine. Therefore, the results of performing the leveling
FB control so as to reduce the true unilateral elongation or camber on the delivery
side of the first rolling mill by simulation are illustrated in FIGS. 9 and 10.
[0064] FIG. 9 is a diagram illustrating transition of true unilateral elongation or camber
as a result of performing the leveling FB control so as to reduce the true unilateral
elongation or camber on the delivery side of the first rolling mill by simulation.
FIG. 10 is a diagram illustrating transition of the unilateral elongation or camber
converted from the difference tension as a result of performing the leveling FB control
so as to reduce the true unilateral elongation or camber on the delivery side of the
first rolling mill by simulation.
[0065] The leveling FB control in the present embodiment controls the leveling so as to
reduce the magnitude of true unilateral elongation or camber on the delivery side
of the first rolling mill. Therefore, the magnitude of the true unilateral elongation
or camber on the delivery side of the first rolling mill illustrated in FIG. 9 can
be made significantly smaller than the magnitude of the true unilateral elongation
or camber on the delivery side of the first rolling mill illustrated in FIGS. 5 and
7. On the other hand, the magnitude of the unilateral elongation or camber converted
from the difference tension illustrated in FIG. 10 is larger than the unilateral elongation
or camber converted from the difference tension illustrated in FIG. 8. The true unilateral
elongation or camber on the delivery side of the first rolling mill cannot be observed,
but the unilateral elongation or camber on the entry side of the first rolling mill
can be measured. Therefore, by using the simulation, it is possible to calculate the
leveling amount that reduces the magnitude of the true unilateral elongation or camber
on the delivery side of the first rolling mill from the unilateral elongation or camber
on the entry side of the first rolling mill. Even in an actual machine, in principle,
if simulation is performed at the time when the unilateral elongation or camber on
the entry side of the first rolling mill is found, an appropriate leveling amount
can be calculated in advance. Then, at the timing when the unilateral elongation or
camber reaches the first rolling mill 110a, the leveling FF control is performed on
the first rolling mill 110a of the actual machine with the calculated leveling amount.
As a result, it is possible to reduce true unilateral elongation or camber on the
delivery side of the first rolling mill.
[0066] Note that the simulation takes a calculation time. Therefore, the appropriate leveling
amount can be obtained online by calculating the unilateral elongation or camber on
the entry side of the first rolling mill and the appropriate leveling amount in a
plurality of cases and performing machine learning so as to output the appropriate
leveling amount from the unilateral elongation or camber on the entry side of the
first rolling mill.
[0067] For example, a calculation device 150 illustrated in FIG. 4 calculates the leveling
amount used for the leveling FF control of the first rolling mill 110a using a value
obtained as a result of applying a leveling amount calculation program to the out-of-plane
deformation amount (unilateral elongation or camber) on the entry side of the first
rolling mill acquired from the shape measurement device 7. In addition, the leveling
amount calculation program to be applied is machine-learned by using each out-of-plane
deformation amount of the plurality of steel sheets as an input variable and each
leveling amount obtained as a result of physical simulation for each out-of-plane
deformation amount as an objective variable.
[0068] In practice, since there is a difference between the simulation and the actual machine,
it is preferable to use the leveling FF control in combination with the leveling FB
control instead of using the leveling FF control alone. Therefore, the results of
a simulation in which the steel sheet S having unilateral elongation or camber is
cold rolled by performing the leveling FF control and the leveling FB control are
illustrated in FIGS. 11 and 12. In the first rolling mill 110a, the leveling FF control
output and the leveling FB control output are added to each other to be the control
output.
[0069] FIG. 11 is a diagram illustrating transition of true unilateral elongation or camber
as a result of a simulation in which the steel sheet S having unilateral elongation
or camber is cold rolled by performing the leveling FF control and the leveling FB
control. FIG. 12 is a diagram illustrating transition of the unilateral elongation
or camber converted from the difference tension as a result of a simulation in which
the steel sheet S having the unilateral elongation or camber is cold rolled by performing
the leveling FF control and the leveling FB control.
[0070] The true unilateral elongation or camber on the delivery side of the first rolling
mill illustrated in FIG. 11 is smaller than the true unilateral elongation or camber
on the delivery side of the first rolling mill illustrated in FIG. 7, but is larger
than the true unilateral elongation or camber on the delivery side of the first rolling
mill illustrated in FIG. 9. By adjusting the weighting of the leveling FF control
and the leveling FB control, it is possible to adjust whether the true unilateral
elongation or camber on the delivery side of the first rolling mill approaches the
result of the leveling FF control or the result of the leveling FB control.
[0071] In the leveling control applied to the cold rolling equipment 1 according to the
embodiment, the data processing of the shape measurement device 7, which is a shape
meter disposed on the entry side of the first rolling mill 110a, is performed, and
the unilateral elongation or camber on the entry side of the first rolling mill is
calculated. Then, the leveling FF control output, which is appropriate leveling, is
calculated from the calculated unilateral elongation or camber on the entry side of
the first rolling mill using the machine learning program. The first leveling control
device 151a calculates the leveling amount of the first rolling mill 110a using unilateral
elongation or camber on the delivery side of the first rolling mill, which is the
out-of-plane deformation amount of the steel sheet S measured by the first shape meter
roll 111a. Then, the first leveling control device 151a performs leveling FB control
for controlling the leveling of the first rolling mill 110a based on the calculated
leveling amount. Furthermore, the first leveling control device 151a performs tracking
of the steel sheet S from the line speed, weights and adds the leveling FF control
output and the leveling FB control at the timing when the unilateral elongation or
camber measured by the shape measurement device 7 reaches the first rolling mill 110a,
and controls the leveling using the added value as a target value. Then, by performing
such leveling control, it is possible to suppress the probability of breakage from
2[%] due to defective leveling control to 1[%].
Industrial Applicability
[0072] As described above, the present invention can provide a cold rolling method and cold
rolling equipment capable of performing cold rolling with high productivity and yield
while securing stability of cold rolling even when cold rolling a difficult-to-roll
material having a high load and a small sheet thickness before rolling.
Reference Signs List
[0073]
1 COLD ROLLING EQUIPMENT
2 PAY-OFF REEL
3 WELDING MACHINE
4 NOTCHER
5 ENTRY-SIDE LOOPER
6 STEERING DEVICE
7 SHAPE MEASUREMENT DEVICE
8 DEFLECTOR STEERING ROLL
9 BRIDLE ROLL GROUP
10 DEFLECTOR STEERING ROLL
11 COLD ROLLING MILL
12 BRIDLE ROLL
13 CUTTING MACHINE
14 TENSION REEL
110 ROLLING MILL
110a FIRST ROLLING MILL
110b SECOND ROLLING MILL
110c THIRD ROLLING MILL
110d FOURTH ROLLING MILL
110e FIFTH ROLLING MILL
111 SHAPE METER ROLL
111a FIRST SHAPE METER ROLL
111b SECOND SHAPE METER ROLL
111c THIRD SHAPE METER ROLL
111d FOURTH SHAPE METER ROLL
111e FIFTH SHAPE METER ROLL
150 CALCULATION DEVICE
151 LEVELING CONTROL DEVICE
151a FIRST LEVELING CONTROL DEVICE
151b SECOND LEVELING CONTROL DEVICE
151c THIRD LEVELING CONTROL DEVICE
151d FOURTH LEVELING CONTROL DEVICE
151e FIFTH LEVELING CONTROL DEVICE
1. A cold rolling method comprising:
a calculation step of calculating a leveling amount of a rolling mill using an out-of-plane
deformation amount of a steel sheet measured on an upstream side of the rolling mill;
a control step of controlling leveling of the rolling mill on a basis of the leveling
amount calculated in the calculation step; and
a cold rolling step of applying cold rolling to the steel sheet using the rolling
mill controlled by the control step.
2. The cold rolling method according to claim 1, wherein the out-of-plane deformation
amount of the steel sheet is an out-of-plane deformation amount measured on the upstream
side of the rolling mill and immediately upstream or immediately downstream of a steering
device that changes a conveying direction of the steel sheet.
3. The cold rolling method according to claim 1 or 2, wherein, when the out-of-plane
deformation amount of the steel sheet measured on the upstream side of the rolling
mill exceeds a threshold value, the cold rolling is not performed on the steel sheet
in the cold rolling step.
4. The cold rolling method according to claim 1 or 2, wherein
in the calculation step,
the leveling amount is calculated using a value obtained as a result of applying a
leveling amount calculation program to the out-of-plane deformation amount, and
the leveling amount calculation program is a machine-learned program using each out-of-plane
deformation amount of a plurality of steel sheets as an input variable and each leveling
amount obtained as a result of physical simulation with respect to each out-of-plane
deformation amount as an objective variable.
5. The cold rolling method according to claim 3, wherein
in the calculation step,
the leveling amount is calculated using a value obtained as a result of applying a
leveling amount calculation program to an out-of-plane deformation amount of the steel
sheet, and
the leveling amount calculation program is a machine-learned program using each out-of-plane
deformation amount of a plurality of steel sheets as an input variable and each leveling
amount obtained as a result of physical simulation with respect to each out-of-plane
deformation amount as an objective variable.
6. The cold rolling method according to claim 1 or 2, wherein
in the calculation step,
the leveling amount is calculated using an out-of-plane deformation amount of the
steel sheet on the upstream side of the rolling mill and an out-of-plane deformation
amount of the steel sheet measured on a downstream side of the rolling mill.
7. The cold rolling method according to claim 3, wherein
in the calculation step,
the leveling amount is calculated using an out-of-plane deformation amount of the
steel sheet on the upstream side of the rolling mill and an out-of-plane deformation
amount of the steel sheet measured on a downstream side of the rolling mill.
8. The cold rolling method according to claim 4, wherein
in the calculation step,
the leveling amount is calculated using an out-of-plane deformation amount of the
steel sheet on the upstream side of the rolling mill and an out-of-plane deformation
amount of the steel sheet measured on a downstream side of the rolling mill.
9. The cold rolling method according to claim 5, wherein
in the calculation step,
the leveling amount is calculated using an out-of-plane deformation amount of the
steel sheet on the upstream side of the rolling mill and an out-of-plane deformation
amount of the steel sheet measured on a downstream side of the rolling mill.
10. A cold rolling equipment comprising:
a rolling mill that applies cold rolling to a steel sheet;
a shape measurement device that is disposed on an upstream side of the rolling mill
and measures an out-of-plane deformation amount of the steel sheet;
a calculation device that calculates a leveling amount of the rolling mill using the
out-of-plane deformation amount of the steel sheet measured by the shape measurement
device; and
a control device that controls leveling of the rolling mill on a basis of the leveling
amount calculated by the calculation device.
11. The cold rolling equipment according to claim 10, further comprising
a steering device that is disposed on the upstream side of the rolling mill and changes
a conveying direction of the steel sheet, wherein
the out-of-plane deformation amount of the steel sheet is an out-of-plane deformation
amount measured on the upstream side of the rolling mill and immediately upstream
or immediately downstream of the steering device.
12. The cold rolling equipment according to claim 10 or 11, wherein, when the out-of-plane
deformation amount of the steel sheet measured on the upstream side of the rolling
mill exceeds a threshold value, the rolling mill does not execute the cold rolling
on the steel sheet.
13. The cold rolling equipment according to claim 10 or 11, wherein
the calculation device calculates the leveling amount using a value obtained as a
result of applying a leveling amount calculation program to the out-of-plane deformation
amount, and
the leveling amount calculation program is a machine-learned program using each out-of-plane
deformation amount of a plurality of steel sheets as an input variable and each leveling
amount obtained as a result of physical simulation with respect to each out-of-plane
deformation amount as an objective variable.
14. The cold rolling equipment according to claim 12, wherein
the calculation device calculates the leveling amount using a value obtained as a
result of applying a leveling amount calculation program to the out-of-plane deformation
amount, and
the leveling amount calculation program is a machine-learned program using each out-of-plane
deformation amount of a plurality of steel sheets as an input variable and each leveling
amount obtained as a result of physical simulation with respect to each out-of-plane
deformation amount as an objective variable.
15. The cold rolling equipment according to claim 10 or 11, wherein the calculation device
calculates the leveling amount using an out-of-plane deformation amount of the steel
sheet on the upstream side of the rolling mill and an out-of-plane deformation amount
of the steel sheet measured on a downstream side of the rolling mill.
16. The cold rolling equipment according to claim 12, wherein the calculation device calculates
the leveling amount using an out-of-plane deformation amount of the steel sheet on
the upstream side of the rolling mill and an out-of-plane deformation amount of the
steel sheet measured on a downstream side of the rolling mill.
17. The cold rolling equipment according to claim 13, wherein the calculation device calculates
the leveling amount using an out-of-plane deformation amount of the steel sheet on
the upstream side of the rolling mill and an out-of-plane deformation amount of the
steel sheet measured on a downstream side of the rolling mill.
18. The cold rolling equipment according to claim 14, wherein the calculation device calculates
the leveling amount using an out-of-plane deformation amount of the steel sheet on
the upstream side of the rolling mill and an out-of-plane deformation amount of the
steel sheet measured on a downstream side of the rolling mill.