A method for setting a material plate shape as a target of a finished plate shape of a cold rolling mill

Abstract

The present application relates to cold rolling mill group incoming material plate shape control technical field, especially in cold rolling mill group finished product plate shape as target's incoming material plate shape setting method, specific method is: collecting cold rolling mill group key equipment characteristic parameter and cold rolling process rolling process parameter;Define the function equation of the incoming material plate shape target curve in the cold rolling process;Calculate the thickness transverse distribution of the cold rolling strip outlet and calculate the front tension transverse distribution value;The finished strip plate shape under the above process parameters is calculated through the cold rolling strip plate shape formula;In the case of determining the above process parameters, according to the principle of volume invariance, the relationship between the cold rolling mill group outlet plate shape and the incoming material plate shape is constructed;Set optimization parameter s;Build cold rolling outlet plate shape control objective function;Given constraint condition, judge whether the Powell condition is established;Output the optimal solution, finally realize the control of the cold rolling mill group incoming material plate shape.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of cold rolling mill strip shape control technology, in particular to a method for setting the strip shape of a cold rolling mill. BACKGROUND

[0002] With the increasing use of cold rolling strip in high-end industrial fields, the requirements of users for the quality of the strip are gradually increasing. There are still problems in the control of the strip shape in actual production in most domestic enterprises, which affects the quality of the strip shape of the cold rolling products. Poor strip shape has a great impact on rolling operation, and in severe cases, it can cause accidents such as strip breakage and tearing, making the rolling operation unable to proceed normally.

[0003] In a cold rolling mill, different incoming strip shapes greatly affect the outlet strip shape of the product. When the incoming strip is a medium wave, it can be considered as a reduction in crown. As a result, the corresponding roll crown needs to be changed to a point corresponding to the crown, while the actual crown remains the same as the original point. At this time, theoretically, edge waves will occur, but due to the medium wave of the incoming strip, the result is offset, resulting in a better result relative to other incoming strip shapes. Therefore, the outlet strip shape of the hot rolling mill directly affects the quality of the strip shape of the finished strip.

[0004] In the past, the influence of strip shape in the cold rolling process was focused on the changes of equipment and process parameters, while the setting requirements of the incoming strip shape were ignored. Therefore, this research takes the cold rolling mill as the research object, sets up the corresponding cold rolling strip shape control model, and further develops a method for setting the incoming strip shape of the cold rolling mill with the best quality of the finished strip shape as the target, so as to control the incoming strip shape of the cold rolling mill and further ensure the quality of the strip shape of the cold rolling finished strip. SUMMARY

[0005] To overcome the defects of the prior art, the technical problem solved by the present application is to provide a method for setting the incoming strip shape of a cold rolling mill with the finished strip shape as the target. By setting the target curve function equation of the cold rolling strip, the outlet thickness calculation model and the front tension transverse distribution value calculation model are established, and the control objective function is established with the finished strip shape as the target, so as to complete the setting of the incoming strip shape of the cold rolling mill.

[0006] In order to achieve the above purpose, the technical scheme adopted by the present application is as follows:

[0007] A method for setting the incoming strip shape of a cold rolling mill with the finished strip shape as the target, the specific steps are:

[0008] (a) Collect the key equipment characteristic parameters of the cold rolling mill, mainly including: work roll diameter , unit: mm; support roll body length , unit: mm;

[0009] (b) Collecting the cold rolling process rolling process parameters, mainly including: the initial tension of the strip , unit: MPa; the entry thickness of the strip , unit: mm; the width of the strip , unit: mm; the deformation resistance of the strip , unit: MPa; the total rolling pressure , unit: N; the elastic modulus , Poisson's ratio ;

[0010] (c) Defining the function equation of the incoming plate shape target curve of the cold rolling process, the formula is as follows,

[0011] (1)

[0012] In the formula, each coefficient is a variable to be solved; x represents the length of the segment based on the support roller, ; the total number of segments is 2n+1, and a certain segment in the segment number is i, i takes the value range of 1, 2, 3…2n+1; k j is the iteration process parameter; j takes the value of 1, 2, 3…m;

[0013] (d) Calculate the exit thickness transverse distribution of the cold rolling strip , the formula is as follows,

[0014] (2)

[0015] In the formula, is the exit thickness distribution value of the i-th segment of the strip, mm; represents the average thickness of the strip exit, mm; represents the deflection of the work roll i-th segment, mm; represents the flattening coefficient between the work roll and the rolled piece; represents the n+1-th segment rolling pressure, kN; represents the i-th segment rolling pressure, kN;

[0016] (e) Calculate the front tension transverse distribution value from the front tension formula , the formula is as follows,

[0017] (3)

[0018] Where the work roll flattening radius is:

[0019] In the formula: P is the total rolling pressure, N; is the reduction amount, mm; is the equivalent tension influence coefficient, the value range is 380.5~400.2; is the front tension transverse distribution value, MPa; is the back tension, MPa; is the average deformation resistance of pass, MPa; is the external friction influence coefficient, the value range is 0.23~0.35; is the friction coefficient, 0.0126; is the Poisson's ratio; is the elastic modulus, MPa; is the flattening radius of work roll, mm;

[0020] (f) the finished strip shape under the above process parameters is calculated by a cold-rolled strip shape formula, the formula is as follows,

[0021] (4)

[0022] (g) under the condition that the above process parameters are determined, according to the principle of volume invariance, the relationship between the cold-rolled strip shape at the outlet of the cold-rolled mill group and the incoming strip shape is constructed, the formula is as follows, and the incoming strip shape , the formula is as follows,

[0023] (5)

[0024] In the formula, is the thickness distribution value of the i-th section of strip at the outlet; is the average thickness of the strip at the outlet; is the thickness distribution of the i-th section of strip at the inlet; is the thickness of the strip at the inlet;

[0025] (h) set the optimization parameter s, let s=0, set the optimization step size Δk, the iteration precision , the initial solution of the incoming strip shape target curve equation ;

[0026] (i) let , , the following steps are calculated;

[0027] (j) the cold-rolled strip shape control target function is constructed, the formula is as follows,

[0028] (6)

[0029] In the formula, , is the weighting coefficient; is the cold-rolled strip shape distribution value; is the maximum value of the cold-rolled strip shape distribution; is the minimum value of the cold-rolled strip shape distribution;

[0030] (k) Given the constraint, the elongation is less than the allowable elongation , the formula is as follows,

[0031] (7)

[0032] (l) Determine whether the Powell condition is established, if yes, go to step (m) to obtain the solution satisfying the condition; if not, let , go to step (i);

[0033] (m) Output the optimal solution , substitute into the target curve equation of the incoming material to obtain the cold-rolled incoming material shape target curve satisfying the cold-rolled product shape condition: .

[0034] Optimization step , iteration precision =0.001.

[0035] Compared with the prior art, the beneficial effects of the present application are:

[0036] The present application sets the cold-rolled strip shape target curve function equation, establishes the strip outlet thickness calculation model and the front tension transverse distribution value calculation model, takes the product shape as the target, establishes the control target function, thereby completing the setting of the cold-rolled strip shape, and finally realizes the control of the cold-rolled strip shape, thereby more guaranteeing the shape quality of the cold-rolled product strip. BRIEF DESCRIPTION OF DRAWINGS

[0037] The accompanying drawings, which form a part of this application, are included to provide a further understanding of the application and are incorporated in and constitute a part of this application. The embodiments of the present application illustrated in the drawings and their descriptions are used to explain the present application and are not intended to limit the present application. In the drawings:

[0038] Figure 1 is a flow chart of a cold-rolled strip shape setting method according to the present application.

[0039] Figure 2 is a strip outlet thickness distribution curve diagram calculated in Example 1.

[0040] Figure 3 is a strip front tension transverse distribution curve diagram calculated in Example 1.

[0041] Figure 4 is a cold-rolled strip shape transverse distribution curve diagram calculated in Example 1.

[0042] Figure 5 is a strip outlet thickness distribution curve diagram calculated in Example 2.​

[0043] Figure 6 is the calculated front tension transverse distribution curve of the strip in Example 2.

[0044] Figure 7 is the calculated transverse distribution curve of the strip flatness after cold rolling in Example 2. DETAILED DESCRIPTION

[0045] The specific embodiments of the present application will be further described below in conjunction with the accompanying drawings:

[0046] Example 1:

[0047] Taking the equipment of a 1550mm six-high tandem cold rolling mill and the product with a specification of 2.62mmx1000mm as an example:

[0048] (a) Collect the characteristic parameters of the key equipment of the cold rolling mill, mainly including: the diameter of the work roll , the length of the roll body of the backup roll ;

[0049] (b) Collect the rolling process parameters, mainly including: the initial tension of the strip , the inlet thickness of the strip , the width of the strip , the deformation resistance of the strip , the elastic modulus , the Poisson's ratio ;

[0050] (c) Define the functional equation of the target curve of the incoming flatness in the cold rolling process, wherein each coefficient is a variable to be solved;

[0051] (1)

[0052] In the formula, each coefficient is a variable to be solved; x represents the length segmented based on the backup roll, ; the total number of segments is 2n+1, and a certain segment in the segment number is i, i takes the value of 1, 2, 3…2n+1; k j is the iteration process parameter; j takes the value of 1, 2, 3…m;

[0053] (d) Calculate the transverse distribution of the outlet thickness of the cold rolling strip , the formula is as follows,

[0054] (2)

[0055] In the formula, the average thickness of the strip at the outlet =0.72mm;

[0056] Work roll i-th segment deflection = {0.192, 0.181, 0.168, 0.154, 0.139, 0.123, 0.107, 0.092, 0.079, 0.066, 0.055, 0.044, 0.035, 0.027, 0.019, 0.014, 0.009, 0.005, 0.002, 0.0005, 0, 0.0005, 0.002, 0.005, 0.009, 0.014, 0.019, 0.027, 0.035, 0.044, 0.055, 0.066, 0.079, 0.092, 0.107, 0.123, 0.139, 0.154, 0.168, 0.181, 0.192} mm;

[0057] Bulge factor between work roll and rolled piece , the value taken when calculating ;

[0058] i-th segment rolling pressure = {9704.19, 9378.13, 9072.72, 8788.96, 8527.57, 8288.96, 8073.39, 7880.95, 7711.60, 7565.27, 7441.82, 7341.08, 7262.92, 7207.20, 7173.81, 7162.69, 7173.81, 7207.20, 7262.92, 7341.08, 7441.82, 7565.27, 7711.60, 7880.95, 8073.39, 8288.96, 8527.57, 8788.96, 9072.72, 9378.13, 9704.19} kN; n+1-th segment rolling pressure = 7162.69 kN;

[0059] Calculate the current strip exit thickness transverse distribution = {0.599, 0.609, 0.619, 0.628, 0.635, 0.643, 0.65, 0.656, 0.661, 0.665, 0.669, 0.672, 0.675, 0.676, 0.677, 0.678, 0.677, 0.676, 0.675, 0.672, 0.669, 0.665, 0.661, 0.656, 0.65, 0.643, 0.635, 0.628, 0.619, 0.609, 0.599} mm, as shown in Figure 2 ;

[0060] (e) Calculate the front tension transverse distribution value from the front tension formula , the formula is as follows,

[0061] (3)

[0062] wherein the flattening radius of the work roll is:

[0063] In the formula, the total rolling pressure P = 22800 kN; the reduction = 12.8%; the equivalent tension influence coefficient = 380.5~400.2, and 391.8 is selected in calculation; the back tension = 200 MPa;

[0064] The average deformation resistance of the pass is = 250 MPa; the outer friction influence coefficient is = 0.23~0.35, and 0.28 is selected in calculation; the friction coefficient is = 0.0126; the Poisson's ratio is = 0.3; the elastic modulus is = 210000 MPa; and the flattening radius of the work roll is = 243.79 mm;

[0065] The front tension transverse distribution value calculated from the front tension model is = { -16.11, -12.24, -8.6, -5.21, -2.08, 0.78, 3.37, 5.68, 7.72, 9.48, 10.97, 12.19, 13.13, 13.8, 14.2, 14.34, 14.2, 13.8, 13.13, 12.19, 10.97, 9.48, 7.72, 5.68, 3.37, 0.78, -2.08, -5.21, -8.6, -12.24, -16.11}, as shown in Figure 3 ;

[0066] (f) The strip shape of the finished strip steel under the above process parameters is calculated by the cold-rolled strip shape formula, and the formula is as follows,

[0067] (4)

[0068] The strip shape of the finished strip steel is calculated by the cold-rolled strip shape formula = { 2.36, 1.9, 1.47, 1.06, 0.69, 0.34, 0.03, -0.26, -0.51, -0.72, -0.91, -1.06, -1.17, -1.26, -1.17, -1.06, -0.91, -0.72, -0.51, -0.26, 0.03, 0.34, 0.69, 1.06, 1.47, 1.9, 2.36}, as shown inFigure 4 as shown;

[0069] (g) In the case of determining the above process parameters, according to the principle of volume invariance, the cold rolling mill outlet plate shape is constructed and the incoming plate shape , the formula is as follows,

[0070] (5)

[0071] In the formula: the average thickness of the strip steel outlet = 0.64 mm; the average thickness of the strip steel inlet = 2.59 mm;

[0072] Inlet thickness distribution ={2.559, 2.571, 2.583, 2.593, 2.603, 2.612, 2.619, 2.627, 2.633, 2.638, 2.643, 2.646, 2.649, 2.651, 2.653, 2.653, 2.653, 2.651, 2.649, 2.646, 2.643, 2.638, 2.633, 2.627, 2.619, 2.612, 2.603, 2.593, 2.583, 2.571, 2.559};

[0073] (h) Set the optimization parameter s, let s = 0, the optimization step size is set , the iteration precision = 0.001, the initial solution of the incoming plate shape target curve equation , j takes values 1, 2, 3…m;

[0074] (i) Let , , the following steps are calculated;

[0075] (j) Construct the cold rolling outlet plate shape control target function, the formula is as follows,

[0076] (6)

[0077] In the formula: the weighted coefficient = 0.6, = 0.4; is the cold rolling outlet plate shape distribution value; is the maximum value of the cold rolling outlet plate shape distribution; is the minimum value of the cold rolling outlet plate shape distribution;

[0078] (k) Given the constraint condition, the elongation is less than the allowable elongation , the formula is as follows,

[0079] (7)

[0080] Allowable elongation = 15%;

[0081] (l) judge whether the Powell condition is established, if yes, go to step (m) to get the solution satisfying the condition; if not, let , go to step (i);

[0082] (m) output the optimal solution , substitute into the target curve equation of the incoming material to get the cold-rolled incoming material shape target curve satisfying the cold-rolled product shape condition.

[0083] Example 2:

[0084] Taking the equipment of a 1550mm six-high tandem cold rolling mill and the product with a specification of 1.96mm x 1120mm as an example:

[0085] (a) collect the characteristic parameters of the key equipment of the cold rolling mill, mainly including: the work roll diameter , the roll body length of the backup roll ;

[0086] (b) collect the rolling process parameters, mainly including: the initial tension of the strip , the inlet thickness of the strip , the strip width , the deformation resistance of the strip , the elastic modulus , the Poisson's ratio ;

[0087] (c) define the function equation of the incoming material shape target curve in the cold rolling process, wherein each coefficient is a variable to be solved;

[0088] (1)

[0089] In the formula, each coefficient is a variable to be solved; x represents the length segmented based on the backup roll, ; the total number of segments is 2n+1, and a certain segment in the segment number is i, i takes the value of 1, 2, 3…2n+1; k j is the iteration process parameter; j takes the value of 1, 2, 3…m;

[0090] (d) calculate the outlet thickness transverse distribution of the cold-rolled strip , the formula is as follows,

[0091] (2) ​

[0092] In the formula, the average thickness of the strip at the exit = 0.79 mm;

[0093] Deflection of the work roll at the i-th segment = {0.193, 0.182, 0.169, 0.155, 0.140, 0.123, 0.108, 0.093, 0.079, 0.067, 0.055, 0.045, 0.035, 0.027, 0.019, 0.014, 0.009, 0.005, 0.002, 0.0005, 0, 0.0005, 0.002, 0.005, 0.009, 0.014, 0.019, 0.027, 0.035, 0.045, 0.055, 0.067, 0.079, 0.093, 0.108, 0.123, 0.140, 0.155, 0.169, 0.182, 0.193} mm; flattening coefficient between the work roll and the rolled piece = 0.0005 mm; ;

[0094] Rolling pressure at the i-th segment = {9647.3, 9333.49, 9039.19, 8765.46, 8513.07, 8282.50, 8074.05, 7887.84, 7723.91, 7582.20, 7462.60, 7364.99, 7289.23, 7235.21, 7202.84, 7192.06, 7202.84, 7235.21, 7289.23, 7364.99, 7462.60, 7582.20, 7723.91, 7887.84, 8074.05, 8282.50, 8513.07, 8765.46, 9039.19, 9333.49, 9647.3} kN; rolling pressure at the n+1-th segment = 7192.06 kN;

[0095] Calculate the current thickness of the strip at the exit = {0.736, 0.747, 0.757, 0.766, 0.775, 0.783, 0.79, 0.796, 0.801, 0.806, 0.81, 0.814, 0.816, 0.818, 0.819, 0.82, 0.819, 0.818, 0.816, 0.814, 0.81, 0.806, 0.801, 0.796, 0.79, 0.783, 0.775, 0.766, 0.757, 0.747, 0.736} mm, as shown in Figure 5 ;

[0096] (e) the front tension transverse distribution value is calculated by the front tension formula , as follows,

[0097] (3)

[0098] wherein the working roll flattening radius is:

[0099] In the formula: total rolling pressure P = 23400 kN; reduction = 15.2%; equivalent tension influence coefficient = 380.5~400.2, 394.2 is selected in calculation; back tension = 350 MPa; pass average deformation resistance = 400 MPa; external friction influence coefficient = 0.23~0.35, 0.32 is selected in calculation; friction coefficient = 0.0131; Poisson's ratio = 0.3; elastic modulus = 210000 MPa; working roll flattening radius = 244.80 mm;

[0100] the front tension transverse distribution value is calculated by the front tension model = { -26.15, -20.31, -14.81, -9.69, -4.96, -0.63, 3.29, 6.79, 9.88, 12.55, 14.81, 16.65, 18.08, 19.1, 19.71, 19.91, 19.1, 18.08, 16.65, 14.81, 12.55, 9.88, 6.79, 3.29, -0.63, -4.96, -9.69, -14.81, -20.31, -26.15}, as shown in Figure 6 ;

[0101] (f) the finished strip flatness under the above process parameters is calculated by the cold-rolled strip flatness formula, as follows,

[0102] (4)

[0103] the finished strip flatness is calculated by the cold-rolled strip flatness formula ={1.54,1.24,0.95,0.69,0.44,0.21,0.01,-0.17,-0.33,-0.47,-0.59,-0.68,-0.76,-0.81,-0.84,-0.85,-0.84,-0.81,-0.76,-0.68,-0.59,-0.47,-0.33,-0.17,0.01,0.21,0.44,0.69,0.95,1.24,1.54} as shown in Figure 7 ;

[0104] (g) Under the above process parameter determination, according to the principle of volume invariance, the cold rolling mill outlet plate shape and the relationship of incoming plate shape , the formula is as follows,

[0105] (5)

[0106] In the formula, the average thickness of the strip steel outlet = 0.79 mm; the average thickness of the strip steel inlet = 1.92 mm;

[0107] Inlet thickness distribution ={1.899, 1.912, 1.923, 1.933, 1.943, 1.952, 1.960, 1.967, 1.973, 1.978, 1.983, 1.987, 1.989, 1.992, 1.993, 1.993, 1.993, 1.992, 1.989, 1.987, 1.983, 1.978, 1.973, 1.967, 1.960, 1.952, 1.943, 1.933, 1.923, 1.912, 1.899};

[0108] (h) Set the optimization parameter s, let s = 0, the optimization step size is set , the iteration precision = 0.001, the initial solution of the incoming plate shape target curve equation , j takes values 1, 2, 3…m;

[0109] (i) Let , , the following step calculation is performed;

[0110] (j) The cold rolling outlet plate shape control target function is constructed, and the formula is as follows,

[0111] (6)

[0112] In the formula, the weighted coefficient = 0.6, =0.4; This represents the cold-rolled sheet shape distribution value at the exit. This represents the maximum value of the cold-rolled sheet shape distribution at the exit. This represents the minimum value for the cold-rolled sheet shape distribution at the exit.

[0113] (k) Given the constraint that the elongation is less than the allowable elongation. The formula is as follows:

[0114] (7)

[0115] Allowable elongation =15%;

[0116] (l) Determine the Powell condition If the condition is true, proceed to step (m) to obtain a solution that satisfies the condition; otherwise, let... Proceed to step (i);

[0117] (m) Output the optimal solution Substituting the equation into the incoming material target curve, we obtain the cold-rolled incoming material shape target curve that satisfies the cold-rolled finished sheet shape conditions. .

[0118] The preferred embodiments of the present invention have been described in detail above with reference to the accompanying drawings. However, the present invention is not limited to the specific details of the above embodiments. Within the scope of the technical concept of the present invention, various simple modifications can be made to the technical solutions of the present invention, and these simple modifications all fall within the protection scope of the present invention. Furthermore, it should be noted that the various specific technical features described in the above specific embodiments can be combined in any suitable manner without contradiction. To avoid unnecessary repetition, the present invention will not describe the various possible combinations separately. In addition, various different embodiments of the present invention can also be arbitrarily combined, as long as they do not violate the spirit of the present invention, they should also be considered as the content disclosed by the present invention.

Claims

1. A method for setting the incoming sheet shape with the finished sheet shape of a cold rolling mill as the target, characterized in that, The specific steps are as follows: (a) Collect key equipment characteristic parameters of the cold rolling mill, mainly including: work roll diameter The unit is mm; the length of the support roller body. The unit is mm; (b) Collect rolling process parameters during cold rolling, mainly including: the initial tension of the strip. The unit is MPa; the entry thickness of the strip. The unit is mm; strip width The unit is mm; the deformation resistance of the strip. The unit is MPa; total rolling pressure The unit is N; elastic modulus Poisson's ratio ; (c) Define the functional equation for the target curve of the incoming sheet shape during the cold rolling process, as follows: （1）； In the formula, the coefficients of each term Let x be the variable we are looking for; x represents the length of the segment based on the support roller. The total number of segments is 2n+1. Let i be a segment in the total number of segments, and let i take the value 1, 2, 3...2n+1; k j These are parameters for the iterative process; j takes values ​​of 1, 2, 3…m. (d) Calculate the transverse thickness distribution at the exit of cold-rolled strip The formula is as follows: （2）； In the formula, Here is the thickness distribution value at the exit of the i-th strip, in mm; This indicates the average thickness of the strip at the exit, in mm; This represents the deflection of the i-th segment of the work roll, in mm; This indicates the flattening coefficient between the work roll and the workpiece; This represents the rolling pressure of the (n+1)th segment, in kN; This represents the rolling pressure of the i-th segment, in kN; (e) Calculate the transverse distribution value of the front tension using the front tension formula. The formula is as follows: （3）； The flattening radius of the work roll is: ; In the formula: P is the total rolling pressure, N; The reduction amount is in mm; The equivalent tension influence coefficient has a value range of 380.5 to 400.

2. The value represents the transverse distribution of the pretension, in MPa. The back tension is MPa; The average deformation resistance per pass, in MPa; The external friction influence coefficient has a value range of 0.23 to 0.

35. The coefficient of friction is 0.0126; Poisson's ratio; The elastic modulus is expressed in MPa. The flattening radius of the work roll is in mm; (f) Calculate the finished strip shape under the above process parameters using the cold-rolled strip shape formula, as follows: （4）； (g) Given the above process parameters, construct the outlet plate shape of the cold rolling mill based on the principle of constant volume. With the shape of the incoming material plate The relationship is expressed by the following formula. （5）； In the formula: This represents the thickness distribution value at the exit of the i-th strip. This represents the average thickness of the strip steel at the export point. The thickness distribution at the entrance of the i-th strip segment; For the strip entry thickness; (h) Set the optimization parameter s, let s=0, set the optimization step size Δk, and the iteration accuracy. The initial solution of the target curve equation for the incoming material plate shape ; (i) Let , Perform the following calculations; (j) Construct the objective function for controlling the shape of the cold-rolled sheet at the exit, as shown in the following formula. （6）； In the formula: , These are weighting coefficients; This represents the cold-rolled sheet shape distribution value at the exit. This represents the maximum value of the cold-rolled sheet shape distribution at the exit. This represents the minimum value for the cold-rolled sheet shape distribution at the exit. (k) Given the constraint that the elongation is less than the allowable elongation. The formula is as follows: （7）； (l) Determine the Powell condition If the condition is true, proceed to step (m) to obtain a solution that satisfies the condition; otherwise, let... Proceed to step (i); (m) Output the optimal solution Substituting into the incoming material target curve equation, we obtain the cold-rolled incoming material shape target curve that satisfies the cold-rolled finished sheet shape conditions: .

2. The method for setting the incoming sheet shape based on the finished sheet shape of a cold rolling mill, as described in claim 1, is characterized in that... Optimize step size Iteration accuracy =0.001.

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