Method for setting channeling roll insertion amount of cold-rolled silicon steel working roll
By mapping the edge roll curve of the working roll to the strip coordinate system in cold-rolled silicon steel production, and combining the super ellipse equation and simply supported beam model to optimize the roll insertion amount, the problem of insufficient working roll insertion amount accuracy was solved, and edge thinning control and improved yield rate were achieved.
Patent Information
- Application Number
- CN202510917047.2
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-07-03
- Publication Date
- 2025-10-24
AI Technical Summary
In the existing technology of cold-rolled silicon steel production, the setting accuracy of the working roll shifting insertion amount is insufficient, resulting in serious edge thinning, affecting product performance and yield rate.
The roll shape curve of the working roll edge is mapped to the strip coordinate system through coordinate transformation. The deflection distribution of the working roll is accurately calculated by combining the super ellipse equation. The shape index is dynamically corrected by combining the uniformly distributed load model of the simply supported beam and the reduction rate distribution to optimize the insertion amount of the shifting roll.
The calculation accuracy of the shifting roller insertion amount is significantly improved, the thinning of the strip edge is suppressed, the product yield rate is increased, and the process stability and production efficiency are enhanced.
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Figure CN120832764A_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The present application relates to the field of cold rolling process control, in particular to a cold-rolled silicon steel work roll roll shifting insertion amount setting method. BACKGROUND
[0002] Cold-rolled silicon steel strip is an important soft magnetic material, widely used in the manufacture of electromagnetic devices such as power transformers, motors, inductors, etc. Its performance and quality directly affect the efficiency and accuracy of electrical equipment. In the production process of cold-rolled silicon steel, the edge thinning of the strip is a common problem, which can seriously affect the performance and yield of the product. Therefore, strict control of edge thinning is the key to ensuring the quality of cold-rolled silicon steel laminations.
[0003] To address the problem of edge thinning, the industry usually uses UCMW rolling mills with work roll roll shifting function and EDC work rolls with edge roll shape design. However, in actual production, due to the complexity of parameters such as friction coefficient and material properties, the rolling force calculation model often has deviations, resulting in insufficient accuracy of work roll roll shifting insertion amount setting. The traditional setting method does not fully consider factors such as material deformation characteristics, elastic deformation of the roll, and dynamic changes during processing, so it is difficult to effectively control edge thinning.
[0004] In view of these limitations, researchers have proposed a series of improvement measures, including optimizing roll shape design, accurately calculating the insertion amount of work roll and roll shifting, and dynamically adjusting in combination with material deformation characteristics. In addition, cold rolling process optimization methods based on finite element analysis are also introduced, which further improve the setting accuracy of roll shape parameters and work roll roll shifting insertion amount by simulating the deformation behavior during cold rolling. However, the existing technology still has problems such as insufficient accuracy of work roll roll shifting insertion amount setting and limited material performance adaptability. SUMMARY
[0005] The purpose of the present application is to provide a cold-rolled silicon steel work roll roll shifting insertion amount setting method, which can effectively improve the setting accuracy of work roll roll shifting insertion amount and edge thinning control by optimizing the roll gap shape and calculating the work roll roll shifting insertion amount online.
[0006] To achieve the above-mentioned purpose, the present application realizes the following technical scheme:
[0007] A cold-rolled silicon steel work roll roll shifting insertion amount setting method, specifically comprising:
[0008] S1, coordinate transformation of the edge roll shape curve equation of the work roll, converting the edge roll shape curve of the work roll from the work roll coordinate system to the strip steel coordinate system;
[0009] S2, calculate the maximum deflection value of the work roll, and equivalent the stress of the work roll during rolling to the simply supported beam under uniform load;
[0010] S3, constructing a super-elliptic equation as a work roll deflection distribution function;
[0011] S4, calculating the work roll deflection of the strip edge feature point position by using the super-elliptic equation, and combining the edge roll shape curve equation to calculate the corresponding roll shifting insertion amount;
[0012] S5, correcting the maximum deflection value of the work roll, fitting the reduction distribution curve according to the strip thickness distribution measurement values at the inlet and outlet of the rolling mill, and calculating the maximum deflection correction value;
[0013] S6, correcting the super-elliptic shape index, and calculating the corrected deflection according to the reduction deflection of the edge feature point position.
[0014] In S1, the edge roll shape curve equation of the work roll is transformed from the work roll coordinate system to the strip coordinate system, and the calculation formula is as follows:
[0015] y' = f(x'-((L-W) / 2-l-s)) ①
[0016] In formula ①,
[0017] The end face of the work roll is the starting coordinate x = 0, and the center position of the roll is the positive direction;
[0018] The edge of the strip is the starting coordinate x' = 0, and the center position of the strip is the positive direction;
[0019] L is the length of the work roll body;
[0020] W is the width of the strip;
[0021] l is the length of the tapered section of the work roll edge;
[0022] s is the insertion amount of the work roll;
[0023] y' = f(x) is the work roll edge roll shape curve.
[0024] In S2, the maximum deflection value of the work roll is calculated, and the formula is as follows:
[0025]
[0026] In formula ②,
[0027] q is the uniform load intensity;
[0028] E is the elastic modulus;
[0029] I is the cross-sectional moment of inertia
[0030] y max is the maximum deflection value of the work roll.
[0031] In S3, the work roll deflection distribution function is as follows:
[0032]
[0033] In formula 3, n is an over-elliptical shape index, and the value range is 1.2-2.5, and x is the position coordinate of the work roll.
[0034] In S4, the corresponding roll shifting insertion amount is as follows:
[0035] y0=f(x0+((L-W) / 2-l-s0)) (4)
[0036] In formula 4, x0 is a strip edge feature point, the range of x0 is 20-25 mm, y0 is the work roll deflection of the position of the strip edge feature point x0, and s0 is the corresponding roll shifting insertion amount.
[0037] In S5, the maximum deflection correction value is as follows:
[0038] y max ′=y max (1+r max k r ) (5)
[0039] In formula 5, r max is the maximum deflection of the reduction rate, y max ′ is the maximum deflection correction value, and k r is the maximum deflection correction gain, and the value range is 0.1-0.5.
[0040] In S6, the corrected deflection is as follows:
[0041] y0′=y0(1+r0k n ) (6)
[0042] In formula 6, n is the corresponding over-elliptical shape index, k n is the shape index correction gain, the value range is 0.1-0.5, y0′ is the work roll deflection of the position of the edge feature point, and r0 is the deflection of the reduction rate of the position of the edge feature point.
[0043] The calculation formula of the uniform load intensity q is as follows:
[0044]
[0045] In formula 7, F is the rolling force, η1 is the load transmission efficiency, and the value range is 0.8-0.95, and η2 is the strip rolling deformation efficiency, and the value range is 0.5-0.7.
[0046] Compared with the prior art, the beneficial effects of the present application are:
[0047] 1. The working roll edge profile curve is mapped to the strip coordinate system through coordinate transformation, and the working roll deflection distribution is accurately calculated combined with the super-ellipse equation, which significantly improves the calculation accuracy of the roll shifting insertion amount;
[0048] 2. The elastic-plastic deformation in the rolling process, the elastic deformation of the roll and the dynamic change factors are comprehensively considered, the deflection model is corrected combined with the online thickness data, the roll gap shape is more in line with the actual working condition, so as to effectively inhibit the edge thinning phenomenon of the strip and improve the product yield;
[0049] 3. The super-ellipse deflection distribution function is used, and the shape index (n) and the maximum deflection value (y max ) are dynamically corrected through the reduction rate distribution, so that the model can adapt to different material properties, rolling force fluctuations and strip width changes, and improve the process stability and adaptability;
[0050] 4. The maximum deflection is calculated combined with the simply supported beam uniform load model, which simplifies the complex mechanical analysis process and improves the operation efficiency, and is suitable for online real-time adjustment;
[0051] 5. The roll shifting insertion amount is optimized by combining theoretical calculation with measured data, the production adjustment time caused by the traditional trial and error method is reduced, the scrap rate is reduced, and the production efficiency is improved. BRIEF DESCRIPTION OF DRAWINGS
[0052] Figure 1 is the working roll edge grinding curve.
[0053] Figure 2 is the working roll roll shifting compensation curve. DETAILED DESCRIPTION
[0054] The present application will be described in detail below with reference to the accompanying drawings, but it should be pointed out that the implementation of the present application is not limited to the following embodiments.
[0055] The following examples are implemented on the premise of the technical solution of the present application, and detailed implementation methods and specific operation processes are given, but the protection scope of the present application is not limited to the following examples. The methods used in the following examples are conventional methods unless otherwise specified.
[0056] Example 1
[0057] A cold-rolled silicon steel working roll shifting insertion amount setting method, specifically comprising:
[0058] S1, the working roll edge profile curve equation coordinate transformation is carried out, and the working roll edge profile curve is converted from the working roll coordinate system to the strip coordinate system:
[0059] The work roll end face is taken as the starting point coordinate x = 0, and the roll center position is the positive direction; the work roll edge roll shape curve y′ = f(x); the strip edge is taken as the starting point coordinate x′ = 0, and the strip center position is the positive direction; the x coordinate of the work roll edge roll shape curve is transformed to the strip edge position coordinate x', the formula is as follows:
[0060] x=x′+((LW) / 2-ls)
[0061] The roll shape equation of the lower edge of the strip coordinate system is as follows:
[0062] y'=f(x'+((L*W) / 2*l*s))①
[0063] Ability to calculate the strip edge roll shape according to different strip widths and insertion amounts;
[0064] In formula ①,
[0065] The end face of the working roll is the starting coordinate x=0, and the center position of the roll is the positive direction;
[0066] The edge of the strip is the starting point coordinate x'=0, and the center of the strip is the positive direction;
[0067] L is the length of the working roll barrel;
[0068] W is the strip width;
[0069] l is the length of the tapered section at the edge of the working roll;
[0070] s is the insertion amount of the working roll;
[0071] y'=f(x) is the roll shape curve of the working roll edge.
[0072] S2. Calculate the maximum deflection of the working roll. Equivalently treat the force on the working roll during the rolling process as that on a simply supported beam subjected to a uniformly distributed load. The maximum deflection of the working roll is calculated using the following formula:
[0073]
[0074] In formula ②,
[0075] q is the uniform load concentration;
[0076] E is the elastic modulus;
[0077] I is the moment of inertia of the section
[0078] y max is the maximum deflection value of the working roll;
[0079] The uniform load concentration q is used instead of the maximum value q of the load distribution max , the calculation formula is:
[0080]
[0081] Formula ⑦, F is the rolling force; η1 is the load transmission efficiency, the value range: 0.8~0.95; η2 is the strip rolling deformation efficiency, the value range: 0.5~0.7;
[0082] The rolling force is transmitted to the work roll through the backup roll and the intermediate roll.
[0083] S3, the hyper-elliptic equation is constructed as the work roll deflection distribution function, and the formula is as follows:
[0084]
[0085] In formula ③, n is the hyper-elliptic shape index, the value range is 1.2~2.5, and x is the position coordinate of the work roll, the range of x is: 0≤x≤W.
[0086] S4, the work roll deflection of the strip edge feature point position is calculated by using the hyper-elliptic equation, and the corresponding roll shifting insertion amount is calculated combined with the edge roll shape curve equation (see formula ①), and the formula is as follows:
[0087] y0=f(x0+((L-W) / 2-l-s0)) ④
[0088] In formula ④, x0 is the strip edge feature point, the range of x0 is: 20-25mm; y0 is the work roll deflection of the strip edge feature point x0 position; s0 is the corresponding roll shifting insertion amount.
[0089] S5, the maximum deflection value of the work roll is corrected, the reduction distribution curve is fitted according to the strip thickness distribution measurement values at the inlet and outlet of the rolling mill, the maximum deflection correction value is calculated, and the formula is as follows:
[0090] y max ′=y max (1+r max k r )⑤
[0091] In formula ⑤, r max is the maximum deflection of the reduction, y max ′ is the maximum deflection correction value, k r is the maximum deflection correction gain, the value range is: 0.1~0.5.
[0092] S6, the hyper-elliptic shape index is corrected, the corrected deflection is calculated according to the reduction deflection of the edge feature point position, and the formula is as follows:
[0093] y0′=y0(1+r0k n )⑥
[0094] In formula ⑥, n is the corresponding hyper-elliptic shape index; kn is the shape index correction gain, with a value range of 0.1 to 0.5, y0′ is the work roll deflection at the edge feature point, and r0 is the reduction rate deflection at the edge feature point.
[0095] Example 2
[0096] In this embodiment, a method for setting the shifting insertion amount of the cold-rolled silicon steel working roll is the same as that in Example 1, and a process for setting the shifting insertion amount of the cold-rolled silicon steel working roll is added thereto.
[0097] (1) Coordinate transformation of the roll curve equation of the working roll edge;
[0098] The work roll end face is taken as the starting point x = 0, and the roll center position is the positive direction; the work roll edge roll shape curve y′ = f(x); the strip edge is taken as the starting point x' = 0, and the strip center position is the positive direction. The x coordinate of the work roll edge roll shape curve is transformed to the strip edge position coordinate x', the formula is as follows:
[0099] x=x′+((LW) / 2-ls)
[0100] The length of the working roll body L = 1400mm, the strip width W is 1040mm, the length of the tapered section of the working roll edge I is 200mm, the cone depth is 0.6mm, s is the working roll insertion amount, and the working roll insertion amounts of frames 1, 2, and 3 are 100mm, 50mm, and 30mm respectively; the edge roll shape equation in the strip coordinate system is: y' = f(x'+((LW) / 2-ls)).
[0101] The roll profile curve of the working roll edge is a straight line plus a quadratic curve:
[0102] 1. Initial roll shape equation of stand S1:
[0103] The equation for S1:
[0104] y'=0.00315789x+(-0.60000000)(0≤x≤180.00000000);
[0105] y'=-0.00007895(x-200.00000000) 2 (180.00000000 <x≤200.00000000);
[0106] The initial roll shape equation of stand S2 is:
[0107] The equation for S2 is:
[0108] y'=0.00277778x+-0.50000000(0≤x≤160.00000000);
[0109] y' = -0.00003472(x - 200.00000000)^2(160.00000000 < x < 200.00000000);
[0110] 3 The initial roll shape equation of rack S3:
[0111] Equation of S3:
[0112] y' = 0.00250000x + -0.40000000(0 < x < 120.00000000);
[0113] y' = -0.00001563(x - 200.00000000)^2(120.00000000 < x < 200.00000000);
[0114] (2) Calculation of the maximum deflection value of the work roll;
[0115] The force on the work roll during rolling is equivalent to the uniform load on a simply supported beam, and the maximum deflection value of the work roll is calculated, and the formula is as follows:
[0116]
[0117] q is the uniform load intensity, E is the elastic modulus, I is the section moment of inertia, which is calculated according to the roll diameter; the support roll diameter is 800 mm, the intermediate roll diameter is 400 mm, the work roll diameter is 300 mm, and E = 2.0e5.
[0118] 1 The maximum deflection of rack S1 is: 0.5005539683653946 mm;
[0119] 2 The maximum deflection of rack S2 is: 0.48887787321910436 mm;
[0120] 3 The maximum deflection of rack S3 is: 0.4293729681845886 mm;
[0121] Calculate q uniform load intensity:
[0122] The rolling force is transmitted to the work roll through the support roll and the intermediate roll, and the load transmission efficiency η1 of the work roll is 0.9, and the strip rolling deformation efficiency η2 is 0.6.
[0123] (3) Construct the work roll deflection distribution function of the super-elliptical equation, and establish the work roll deflection equation:
[0124]
[0125] The shape index n of the super-ellipse is 2, and x is the position coordinate of the work roll (range 0 < x < W).
[0126] (4) Calculate the position coordinates of the strip edge of the work roll by using the super-elliptic equation, calculate the work roll deflection y0 at the position of the edge feature point x0, x0 = 25 mm, calculate the work roll insertion amount by using the edge roll shape curve equation y' = f(x' + ((L-W) / 2-l-s)), that is, y0 = f(x0 + ((L-W) / 2-l-s0)), and calculate the corresponding roll shift insertion amount s0;
[0127] (5) Correct the maximum deflection value of the work roll;
[0128] According to the measured values of the strip thickness distribution at the inlet and outlet of the rolling mill, fit the reduction distribution curve, and calculate the maximum deflection r of the reduction max (±5%), correct the maximum deflection value of the work roll, y max ' = y max (1 + r max k r ), k r is the maximum deflection correction gain 0.5.
[0129] (6) Correct the super-elliptic shape index n;
[0130] According to the measured values of the strip thickness distribution at the inlet and outlet of the rolling mill, fit the reduction distribution curve, calculate the reduction deflection r0 at the position of the edge feature point, calculate the work roll deflection y0' at the position of the edge feature point, y0' = y0(1 + r0k n ), calculate the super-elliptic shape index n corresponding to the deflection y0' at the position of the edge feature point by using the work roll deflection equation corrected by the maximum deflection value, and k n is the shape index correction gain 0.5.
[0131] The maximum deflections of the 1-3 stands are respectively 0.50 mm, 0.49 mm and 0.43 mm, and the corrected maximum deflections are respectively 0.5125 mm, 0.499 mm and 0.439 mm. The shape index before correction is 2, and the corrected shape indexes are respectively 2.02, 2.01 and 2.005.
[0132] See Figure 1 , the work roll edge grinding curve, without coordinate transformation. The work roll edge grinding increases the edge roll gap opening degree, and cooperates with the roll shift insertion to offset the deflection; see Figure 2 , the solid line is the work roll edge shape, and the dotted line is the calculated edge deflection of the work roll without edge grinding, and the shape curve is translated left and right by adjusting the insertion amount to compensate for the work roll edge deflection.
[0133] The present application maps the work roll edge profile curve to the strip coordinate system through coordinate transformation, and accurately calculates the work roll deflection distribution in combination with the super-elliptic equation, which significantly improves the calculation accuracy of the roll shifting insertion amount; the elastic-plastic deformation in the rolling process, the elastic deformation of the roll and the dynamic change factors are comprehensively considered, the deflection model is corrected in combination with the online thickness measurement data, the roll gap shape is more in line with the actual working condition, so as to effectively inhibit the strip edge thinning phenomenon and improve the product yield; the super-elliptic deflection distribution function is adopted, and the shape index (n) and the maximum deflection value (y max ) are dynamically corrected through the reduction rate distribution, so that the model can adapt to different material properties, rolling force fluctuations and strip width changes, improve the process stability and adaptability; the maximum deflection is calculated in combination with the simply supported beam uniform load model, which simplifies the complex mechanical analysis process, improves the operation efficiency, and is suitable for online real-time adjustment; the roll shifting insertion amount is optimized through the combination of theoretical calculation and actual measurement data, the production adjustment time caused by the traditional trial and error method is reduced, the scrap rate is reduced, and the production efficiency is improved.
Claims
1. A method of setting a roll shifting insertion amount of a cold-rolled silicon steel work roll, characterized by, Specifically comprising: S1, the edge of the work roll shape curve equation coordinate transformation is carried out, and the edge of the work roll shape curve is converted from the work roll coordinate system to the strip steel coordinate system; S2, the maximum deflection value of the work roll is calculated, and the stress of the rolling process is equivalent to the simply supported beam under uniform load; S3, the super-elliptical equation is constructed as the deflection distribution function of the work roll; S4, the deflection of the work roll at the position of the edge feature point of the strip steel is calculated by using the super-elliptical equation, and the corresponding roll shifting insertion amount is calculated in combination with the edge roll shape curve equation; S5, the maximum deflection value of the work roll is corrected, the reduction distribution curve is fitted according to the thickness distribution measurement values of the strip steel at the inlet and outlet of the rolling mill, and the maximum deflection correction value is calculated; S6, the shape index of the super-ellipse is corrected, and the corrected deflection is calculated according to the reduction deflection of the edge feature point position.
2. The method of setting the roll jump insertion amount of a cold-rolled silicon steel work roll according to claim 1, characterized by, In S1, the edge of the work roll shape curve equation coordinate transformation is carried out, and the edge of the work roll shape curve is converted from the work roll coordinate system to the strip steel coordinate system, and the calculation formula is as follows: y'=f(x'+((L-W) / 2-l-s))①In formula ①, The end face of the work roll is the starting coordinate x=0, and the center position of the roll is the positive direction; The edge of the strip steel is the starting coordinate x'=0, and the center position of the strip steel is the positive direction; L is the length of the work roll body; W is the width of the strip steel; l is the length of the tapered section of the work roll edge; s is the insertion amount of the work roll; y'=f(x) is the work roll edge shape curve.
3. The method of setting the roll jump insertion amount of a cold-rolled silicon steel work roll according to claim 1, characterized by, In S2, the maximum deflection value of the work roll is calculated, and the formula is as follows: In formula ②, q is the uniform load intensity; E is the elastic modulus; I is the cross-sectional moment of inertia y max is the maximum deflection value of the work roll.
4. The method of setting the roll jump insertion amount of a cold-rolled silicon steel work roll according to claim 1, characterized by, In S3, the deflection distribution function of the work roll is as follows: In formula ③, n is the shape index of the super-ellipse, and the value range is 1.2-2.5, and x is the position coordinate of the work roll.
5. The method of setting the roll jump insertion amount of a cold-rolled silicon steel work roll according to claim 1, characterized by, In S4, the corresponding roll shifting insertion amount is as follows: y0=f(x0+((L-W) / 2-l-s0))④In formula ④, x0 is the edge feature point of the strip steel, the range of x0 is 20-25mm; y0 is the deflection of the work roll at the position of the edge feature point x0 of the strip steel; s0 is the corresponding roll shifting insertion amount.
6. The method of setting the roll jump insertion amount of a cold-rolled silicon steel work roll according to claim 1, characterized by, In S5, the maximum deflection correction value is as follows: y max ′=y max (1+r max k r )⑤ In the formula 5, r max is the maximum deflection of the reduction rate, y max is the maximum deflection correction value, k r is the maximum deflection correction gain, and the value range is 0.1-0.
5.
7. The method of setting the roll jump insertion amount of a cold-rolled silicon steel work roll according to claim 1, characterized by, In S6, the corrected deflection is as follows: y0' = y0(1 + r0k n )⑥ In formula (6), n is the corresponding hyper-elliptical shape index; k n is the shape index correction gain, with a value range of 0.1-0.5, y0′ is the edge feature point position work roll deflection; r0 is the edge feature point position reduction rate deflection.
8. The work roll roll shifting insertion amount setting method of the cold rolled silicon steel according to claim 3, characterized in that, The calculation formula of the uniform load intensity q is: Formula ⑦, F is the rolling force; η1 is the load transmission efficiency, and the value range is 0.8-0.95; η2 is the strip steel rolling deformation efficiency, and the value range is 0.5-0.7.