Twenty-high rolling mill edge drop control work roll contour

Abstract

The application provides a twenty-roller mill edge reduction control work roll shape, and relates to the technical field of strip rolling. In the roll shape, the upper and lower work roll shapes are respectively provided with chamfer sections for edge reduction control on the operation side and the transmission side, the chamfer sections are arranged in reverse symmetry, the roll shape length and the roll shape depth of the upper and lower work roll chamfer sections are different, the roll shape functions of the upper and lower work rolls are respectively composed of a straight section, an edge reduction control chamfer section determined by a quadratic function and a straight chamfer section, the slope continuity of the sectional connection is ensured, and the physical inflection point is effectively eliminated. The compensation strategy of the asymmetric arrangement of the upper and lower work rolls is adopted, the silicon steel edge reduction characteristics can be accurately controlled, the edge thinning amount is significantly reduced, the generation of the strip surface indentation is prevented, and the flatness stability and the surface quality are improved.

Description

Technical Field

[0001] This invention relates to the field of strip rolling technology, and in particular to a roll shape for edge drop control of a 20-roll mill. Background Technology

[0002] The Sendzimir 20-roll mill, with its high overall frame rigidity, small work roll diameter, and large reduction rate, is widely used in the cold rolling production of high-hardness, difficult-to-deform metal materials, making it an ideal mill for rolling silicon steel. Silicon steel is a functional material based on an iron-silicon alloy. To improve magnetic properties and reduce hysteresis loss, it has extremely high requirements for thickness tolerance, strip shape quality, and edge integrity. During cold rolling, due to the combined effects of elastic flattening of the work rolls, changes in the lateral distribution of rolling pressure, and restricted lateral flow of metal at the strip edge, a phenomenon known as "edge drop" (or "edge shrinkage") easily occurs in the strip edge area. Severe edge drop not only reduces the yield but may also exacerbate stress concentration at the strip edge, increasing the risk of strip breakage during production.

[0003] In Sendzimir mills, multi-roll support structures effectively suppress overall roll bending and make the lateral distribution characteristics of elastic flattening of the work rolls more prominent during edge reduction. Because the strip width terminates at the edge, the contact conditions and reaction force distribution change abruptly, resulting in a different flattening amount at the edge compared to the center, thus causing edge thinning. With the increase in silicon steel grades, the material's deformation resistance increases, further amplifying this edge flattening effect, making it necessary to achieve refined edge reduction control through work roll shape optimization.

[0004] Reference 1 (Feng Xiawei, Wang Xiaochen, Yang Quan, et al. Analysis of the ability to control the edge drop of the work roll in a six-roll mill. Journal of Mechanical Engineering, 2019, 55(12): 83-90.) shows that optimizing the geometric parameters of the work roll (such as height and slope) can improve the edge drop control effect and reduce the interference on the flatness of the plate. However, such studies are mostly based on the assumption of symmetrical roll shape and mainly focus on six-roll mills. For Sendzimir mills, due to their special twenty-roll support structure and the objectively existing asymmetrical deformation characteristics on the left and right sides, adjusting a single taper parameter alone cannot meet the high precision requirements of ultra-thin silicon steel. Therefore, this invention further proposes an anti-symmetrical arrangement and a three-segment function design to achieve independent and precise compensation for the edge drop on the operating side and the transmission side.

[0005] Reference 2 (Zhang Yan, Zhao Jian, Lin Yong, et al. Strip shape control of silicon steel strip rolled by Sendzimir 20-roll mill. Rolling Steel, 2025, 42(05): 89-95.) shows that in silicon steel rolling, relying solely on backing bearing adjustment (ASU) can only improve the strip shape in the middle of the strip, while having little effect on the edge area. It is necessary to rely on the lateral movement of the intermediate roll (IMR) with a specific taper to effectively cover the edge of the strip (0~150mm) to control edge drop. The technical approach of this study mainly focuses on the adjustment of the intermediate roll, while the present invention mainly focuses on the roll shape optimization method of the work roll that is in direct contact with the strip. By designing a special anti-symmetric three-section work roll shape, the edge drop control function is directly sinked to the contact area of ​​the work roll, in order to obtain a more direct and precise edge drop control effect than the traditional intermediate roll adjustment.

[0006] In summary, this invention proposes a roll shape and design method for edge drop control work rolls in a 20-roll mill. By designing the roll shape based on a three-segment curve, it achieves precise and independent compensation for the flattening amount of the two sides of the strip, thereby significantly improving the edge drop control capability while ensuring the straightness of the strip. Summary of the Invention

[0007] To address the aforementioned technical problems in the existing technology, this invention provides a method for controlling the roll shape of the work roll in a 20-roll mill. The technical solution is as follows:

[0008] A working roll profile for edge drop control in a 20-roll mill, the working roll profile comprising an upper working roll profile and a lower working roll profile. The upper and lower working rolls are designed with chamfered sections for edge drop control on the operating side and transmission side, respectively. The chamfered sections are arranged in an anti-symmetrical manner. The length and depth of the chamfered sections of the upper and lower working rolls are different. The roll shape functions of the upper and lower working rolls are composed of three curves: a straight line segment, an edge drop control chamfered section determined by a quadratic function, and a straight chamfered section. The curve function of the upper working roll shape is: in, R u ( x u () represents the radius of the upper working roll, in mm; R 0u The initial radius of the upper working roll is in mm; x u Let [the coordinates of the roller body with the drive side of the above work roller as the endpoint], and the coordinate range be [0, ...]. L ], the unit is mm; x 1u and x 2uThe coordinates of the upper work roll profile marker point are in mm. k 1u The roll profile coefficient for the chamfered section of the upper work roll is measured in mm. -1 ; k 2u The roll profile coefficient of the straight chamfered section of the upper work roll is dimensionless. L The effective length of the same roller body for both the upper and lower work rolls, in mm; The curve function of the lower working roll shape is: in, R l ( x l () represents the radius of the lower work roll profile, in mm; R 0l The initial radius of the lower working roll is in mm; x l Let the following be the coordinates of the roll body with the operating side of the work roll as the endpoint, and the coordinate range be [0, ...]. L ], the unit is mm; x 1l and x 2l The coordinates of the lower work roll profile marker point are in mm. k 1l The roll profile coefficient for the chamfered section of the lower work roll is used to control the edge drop, and the unit is mm. -1 ; k 2l The roll profile coefficient for the straight chamfered section of the lower work roll is dimensionless.

[0009] Based on the geometric alignment relationship between the total length of the work roll and the width of the strip, and combined with the preset width of the strip edge drop zone and the length of the edge drop control chamfer section, the coordinates of the upper work roll shape marker point are determined. x 1u and x 2u The method for determining it is as follows: in, L 1 represents the total length of the work rolls, where the upper and lower work rolls are identical. L 1= L + L 2, L The effective length of the roller body. L 2 represents the length of the transmission section, in mm; B This refers to the strip width, in mm. wThis refers to the width of the strip edge drop zone, in mm. L 3 represents the length of the chamfered section controlled by the edge drop, in mm.

[0010] To ensure the smoothness and continuity of the upper working roll profile curve and the accuracy of the edge drop control, a geometric constraint model is established to ensure that the upper roll profile simultaneously satisfies the condition that the first derivatives of the edge drop control chamfer segment and the straight chamfer segment at the junction are equal, and that the radial drop of the entire roll profile curve at the end of the roll body is precisely equal to the set chamfer depth. The roll profile coefficient of the edge drop control chamfer segment of the upper working roll is specified. k 1u and the roll form factor of the straight chamfered section of the upper work roll k 2u The method for determining it is as follows: in, d u The depth of the full chamfer section of the upper work roll is given during the design phase. The full chamfer section includes a chamfer section with edge drop control and a straight chamfer section.

[0011] Depth of the full chamfer section of the upper work roll d u The determination can be made based on the requirements and effectiveness of cold rolling edge reduction control. d u The increase in the chamfer depth enhances the edge reduction control effect, but excessive chamfer depth can cause the strip edge to warp, leading to other plate profile problems.

[0012] Based on the geometric alignment relationship between the total length of the work roll and the width of the strip, and combined with the preset width of the strip edge drop zone and the length of the edge drop control chamfer section, the coordinates of the lower work roll roll shape marker point are determined. x 1l and x 2l The method for determining it is as follows: in, L 1 represents the total length of the work rolls, where the upper and lower work rolls are identical. L 1= L + L 2, L The effective length of the roller body. L 2 represents the length of the transmission section, in mm; B This refers to the strip width, in mm. w This refers to the width of the strip edge drop zone, in mm. L3 represents the length of the chamfered section controlled by the edge drop, in mm.

[0013] To ensure the smoothness and continuity of the lower working roll profile curve and the accuracy of the edge drop control, a geometric constraint model is established to ensure that the lower roll profile simultaneously satisfies the condition that the first derivatives of the edge drop control chamfer segment and the straight chamfer segment at the junction are equal, and that the radial drop of the entire roll profile curve at the end of the roll body is precisely equal to the set chamfer depth. The roll profile coefficient of the lower working roll edge drop control chamfer segment is specified. k 1l Roll form factor of the straight chamfered section of the lower work roll k 2l The method for determining it is as follows: in, d l The depth of the full chamfer section of the lower work roll is defined as follows: the full chamfer section includes an edge drop control chamfer section and a straight chamfer section.

[0014] To ensure that the edge drop control amount of the upper and lower work rolls is completely consistent at the edge of the strip, the depth of the full chamfer section of the lower work roll is... d l for: in, L 3 represents the length of the chamfered section controlled by the edge drop, in mm; d u This refers to the depth of the fully chamfered section of the upper work roll.

[0015] When determining the roll shape design parameters, the main consideration is the strip width. B Take the strip width that accounts for the largest proportion in the production plan, or according to different strip widths. B Different roll shapes were designed to suit rolling widths.

[0016] The width of the strip edge drop zone w The range is 50-100mm, which is mainly determined based on the actual edge reduction zone width characteristics of the cold-rolled material.

[0017] To ensure coverage of critical deformation areas, the edge drop controls the length of the chamfered section. L 3. Take 100-120mm.

[0018] This invention first calculates the coordinates of the work roll shape marker point based on the strip width, which accounts for the largest proportion in the production plan, and the width of the incoming material edge drop zone. Then, by establishing a geometric constraint model, the roll shape coefficient is solved simultaneously based on the actual chamfer depth of the rolling mill. The designed work roll shape is composed of a straight section, an edge drop control chamfer section, and a straight chamfer section, ensuring the continuity of the slope at the segment connection and effectively eliminating physical inflection points.

[0019] The beneficial effects of the technical solutions provided in the embodiments of the present invention include at least the following: This invention employs a compensation strategy with asymmetrical arrangement of upper and lower working rolls, enabling precise control over the edge thinning characteristics of silicon steel. This significantly reduces edge thinning while preventing surface indentations, thus improving strip shape stability and surface quality. Specifically, it includes:

[0020] (i) High precision control: This invention establishes a geometric positioning model to accurately determine the coordinates of the work roll shape marker point. This composite curve designed for the edge drop characteristics of silicon steel can achieve precise coverage and compensation of the thinning zone at the edge of the strip, thereby effectively reducing the amount of edge thinning. (ii) Good surface quality. This invention obtains the roll shape coefficient by establishing a geometric constraint model and solving it simultaneously. This ensures that the slope of the chamfer section controlled by the edge drop and the straight chamfer section is continuous at the connection point, effectively eliminating the physical inflection point on the roll shape curve, thereby preventing the generation of strip surface indentations during the rolling process and significantly improving the surface quality of the product. (III) Highly targeted: This invention adopts a compensation strategy of asymmetrical arrangement of upper and lower work rolls, which fully considers and compensates for the complex elastic deformation characteristics of Sendzimir mill when rolling silicon steel. Through the parameterized design of the coordinates of the marker points, it realizes flexible control of the edge drop of silicon steel of different widths, which significantly improves the plate shape stability during the rolling process. Attached Figure Description

[0021] To more clearly illustrate the technical solutions in the embodiments of the present invention, the accompanying drawings used in the description of the embodiments will be briefly introduced below. Obviously, the accompanying drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0022] Figure 1 This is a schematic diagram of the arrangement and parameters of the work rolls for edge drop control of a 20-roll mill provided in an embodiment of the present invention; Figure 2 This is a schematic diagram of the arrangement and specific design parameters of the working rollers in Embodiment 1 of the present invention; Figure 3 It is the upper working roller shape in Embodiment 1 of the present invention; Figure 4It is the shape of the lower working roller in Embodiment 1 of the present invention; Figure 5 This is a schematic diagram of the arrangement and specific design parameters of the working rollers in Embodiment 2 of the present invention; Figure 6 It is the upper working roller shape in Embodiment 2 of the present invention; Figure 7 It is the shape of the lower working roller in Embodiment 2 of the present invention. Detailed Implementation

[0023] The technical solution of the present invention will now be described with reference to the accompanying drawings.

[0024] In embodiments of the present invention, words such as "exemplarily," "for example," etc., are used to indicate that something is an example, illustration, or description. Any embodiment or design described as "exemplary" in the present invention should not be construed as being more preferred or advantageous than other embodiments or designs. Specifically, the use of the word "exemplary" is intended to present the concept in a concrete manner. Furthermore, in embodiments of the present invention, the meaning expressed by "and / or" can be both, or either one.

[0025] In this embodiment of the invention, sometimes a subscript such as W1 may be written in a non-subscript form such as W1. When the difference is not emphasized, the meaning they express is the same.

[0026] To make the technical problems, technical solutions and advantages of the present invention clearer, a detailed description will be given below in conjunction with the accompanying drawings and specific embodiments.

[0027] This invention provides a method for controlling the edge drop of work rolls in a 20-roll mill. For example... Figure 1 The work roll profile shown is for the edge drop control of a 20-roll mill. The work roll profile includes an upper work roll profile and a lower work roll profile.

[0028] The upper and lower working rolls are designed with chamfered sections for edge drop control on the operating side and transmission side, respectively. The chamfered sections are arranged anti-symmetrically. The roll shape functions of the upper and lower working rolls are both composed of three curve segments. The curve function of the upper working roll shape is: in, R u ( x u () represents the radius of the upper working roll, in mm; R 0u The initial radius of the upper working roll is in mm; x u Let [the coordinates of the roller body with the drive side of the above work roller as the endpoint], and the coordinate range be [0, ...]. L], the unit is mm; x 1u and x 2u The coordinates of the upper work roll profile marker point are in mm. k 1u The roll profile coefficient for the chamfered section of the upper work roll is measured in mm. -1 ; k 2u The roll profile coefficient of the straight chamfered section of the upper work roll is dimensionless. L The effective length of the same roller body for both the upper and lower work rolls, in mm; The curve function of the lower working roll shape is: in, R l ( x l () represents the radius of the lower work roll profile, in mm; R 0l The initial radius of the lower working roll is in mm; x l Let the following be the coordinates of the roll body with the operating side of the work roll as the endpoint, and the coordinate range be [0, ...]. L ], the unit is mm; x 1l and x 2l The coordinates of the lower work roll profile marker point are in mm. k 1l The roll profile coefficient for the chamfered section of the lower work roll is used to control the edge drop, and the unit is mm. -1 ; k 2l The roll profile coefficient for the straight chamfered section of the lower work roll is dimensionless.

[0029] The following description, in conjunction with specific embodiments, illustrates this point.

[0030] Example 1 like Figure 2 As shown, this embodiment uses a 1760mm Sendzimir 20-roll mill, with the work rolls having a total length of [missing information]. L 1 = 1760mm, effective length of roller body L =1680mm, transmission section length L 2=80mm, initial radius of the upper work roll R 0u =40mm, initial radius of lower work roll R 0l =40mm, the strip width that accounts for the largest proportion of the production plan. B =1100mm, width of the edge reduction zone of the cold-rolled material. w=50mm, the length of the chamfered section controlled by the edge drop during roller design. L 3 = 100mm, depth of the full chamfer section of the upper work roll d u =0.150mm.

[0031] In the edge drop control roll profile of a 20-roll mill, the upper and lower work rolls are designed with chamfered sections for edge drop control on the operating and drive sides, respectively. These chamfered sections are arranged anti-symmetrically, and their lengths and depths differ between the upper and lower work rolls. The roll profile functions for both the upper and lower work rolls are composed of three curve segments. The curve function for the upper work roll profile is as follows: in, R u ( x u () represents the radius of the upper working roll, in mm; R 0u The initial radius of the upper working roll does not affect the roll shape; the unit is mm. x u Let [the coordinates of the roller body with the drive side of the above work roller as the endpoint], and the coordinate range be [0, ...]. L ], the unit is mm; x 1u and x 2u The coordinates of the upper work roll profile marker point are in mm. k 1u The roll profile coefficient for the chamfered section of the upper work roll is measured in mm. -1 ; k 2u The roll profile coefficient of the straight chamfered section of the upper work roll is dimensionless. L The effective length of the same roller body for both the upper and lower work rolls, in mm; The curve function of the lower work roll shape is: in, R l ( x l () represents the radius of the lower work roll profile, in mm; R 0l The initial radius of the lower working roll does not affect the roll shape; the unit is mm. x l Let the following be the coordinates of the roll body with the operating side of the work roll as the endpoint, and the coordinate range be [0, ...]. L ], the unit is mm; x 1l and x 2lThe coordinates of the lower work roll profile marker point are in mm. k 1l The roll profile coefficient for the chamfered section of the lower work roll is used to control the edge drop, and the unit is mm. -1 ; k 2l The roll profile coefficient for the straight chamfered section of the lower work roll is dimensionless.

[0032] The coordinates of the upper working roll's roll shape marker point were calculated. x 1u and x 2u for: Furthermore, to ensure the smoothness and continuity of the upper work roll profile curve and the accuracy of the edge drop control, a geometric constraint model is established to calculate the roll profile coefficient of the chamfered section for edge drop control of the upper work roll. k 1u and the roll form factor of the straight chamfered section of the upper work roll k 2u for: The coordinates of the lower working roll profile marker point were calculated. x 1l and x 2l for: The upper and lower work rolls are not perfectly anti-symmetrical; calculate the depth of the full chamfer section of the lower work roll. d l for: Furthermore, to ensure the smoothness and continuity of the lower work roll profile curve and the accuracy of the edge drop control, a geometric constraint model is established to calculate the roll profile coefficient of the chamfered section for edge drop control of the lower work roll. k 1l Roll form factor of the straight chamfered section of the lower work roll k 2l for: Based on the above formula, the curve function of the upper work roll shape is determined as follows: The upper work roll, with the starting position at the flat roll end as the origin, has a roll profile consisting of three parts: the first part, from (0,40) to (1300,40), is a straight line segment; the second part, from (1300,40) to (1400,39.977), is a quadratic curve segment; and the third part, from (1400,39.977) to (1680,39.850), is also a straight line segment. Based on this design, the roll profile of the upper work roll is as follows: Figure 3 As shown.

[0033] The curve function for determining the shape of the lower work roll is: The lower work roll, with the starting position at the flat roll end as the origin, has a roll profile consisting of three parts: the first part, from (0,40) to (1380,40), is a straight line segment; the second part, from (1380,40) to (1480,39.977), is a quadratic curve segment; and the third part, from (1480,39.977) to (1680,39.886), is also a straight line segment. Based on this design, the roll profile of the lower work roll is as follows: Figure 4 As shown.

[0034] Example 2 like Figure 5 As shown, this embodiment uses a 1760mm Sendzimir 20-roll mill, with the work rolls having a total length of [missing information]. L 1 = 1760mm, effective length of roller body L =1680mm, transmission section length L 2=80mm, initial radius of the upper work roll R 0u =40mm, initial radius of lower work roll R 0l =40mm, the strip width that accounts for the largest proportion of the production plan. B =1100mm, width of the edge reduction zone of the cold-rolled material. w =100mm, the length of the chamfer section controlled by the edge drop during roller design. L 3=120mm, depth of the full chamfer section of the upper work roll d u =0.160mm.

[0035] In the edge drop control roll profile of a 20-roll mill, the upper and lower work rolls are designed with chamfered sections for edge drop control on the operating and drive sides, respectively. These chamfered sections are arranged anti-symmetrically, and their lengths and depths differ between the upper and lower work rolls. The roll profile functions for both the upper and lower work rolls are composed of three curve segments. The curve function for the upper work roll profile is as follows: in, R u (x u () represents the radius of the upper working roll, in mm; R 0u The initial radius of the upper working roll does not affect the roll shape; the unit is mm. x u Let [the coordinates of the roller body with the drive side of the above work roller as the endpoint], and the coordinate range be [0, ...]. L ], the unit is mm; x 1u and x 2u The coordinates of the upper work roll profile marker point are in mm. k 1u The roll profile coefficient for the chamfered section of the upper work roll is measured in mm. -1 ; k 2u The roll profile coefficient of the straight chamfered section of the upper work roll is dimensionless. L The effective length of the same roller body for both the upper and lower work rolls, in mm; The curve function of the lower work roll shape is: in, R l ( x l () represents the radius of the lower work roll profile, in mm; R 0l The initial radius of the lower working roll does not affect the roll shape; the unit is mm. x l Let the following be the coordinates of the roll body with the operating side of the work roll as the endpoint, and the coordinate range be [0, ...]. L ], the unit is mm; x 1l and x 2l The coordinates of the lower work roll profile marker point are in mm. k 1l The roll profile coefficient for the chamfered section of the lower work roll is used to control the edge drop, and the unit is mm. -1 ; k 2l The roll profile coefficient for the straight chamfered section of the lower work roll is dimensionless.

[0036] The coordinates of the upper working roll's roll shape marker point were calculated. x 1u and x 2u for: Furthermore, to ensure the smoothness and continuity of the upper work roll profile curve and the accuracy of the edge drop control, a geometric constraint model is established to calculate the roll profile coefficient of the chamfered section for edge drop control of the upper work roll. k 1u and the roll form factor of the straight chamfered section of the upper work roll k 2u for: The coordinates of the lower working roll profile marker point were calculated. x 1l and x 2l for: The upper and lower work rolls are not perfectly anti-symmetrical; calculate the depth of the full chamfer section of the lower work roll. d l for: Furthermore, to ensure the smoothness and continuity of the lower work roll profile curve and the accuracy of the edge drop control, a geometric constraint model is established to calculate the roll profile coefficient of the chamfered section for edge drop control of the lower work roll. k 1l Roll form factor of the straight chamfered section of the lower work roll k 2l for: Based on the above formula, the curve function of the upper work roll shape is determined as follows: The upper work roll, with the starting position at the flat roll end as the origin, has a roll profile consisting of three parts: the first part, from (0,40) to (1250,40), is a straight line segment; the second part, from (1250,40) to (1370,39.974), is a quadratic curve segment; and the third part, from (1370,39.974) to (1680,39.840), is also a straight line segment. Based on this design, the roll profile of the upper work roll is as follows: Figure 6 As shown.

[0037] The curve function for determining the shape of the lower work roll is: The lower work roll, with the starting position at the flat roll end as the origin, has a roll profile consisting of three parts: the first part, from (0,40) to (1330,40), is a straight line segment; the second part, from (1330,40) to (1450,39.974), is a quadratic curve segment; and the third part, from (1450,39.974) to (1680,39.875), is also a straight line segment. Based on this design, the roll profile of the lower work roll is as follows: Figure 7 As shown.

[0038] The above description is merely a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the technical scope disclosed in the present invention should be included within the scope of protection of the present invention. Therefore, the scope of protection of the present invention should be determined by the scope of the claims.

Claims

1. A twenty-high rolling mill edge drop control work roll contour, characterized in that, The working roll shape includes an upper working roll shape and a lower working roll shape. The upper and lower working rolls are designed with chamfered sections for edge drop control on the operating side and transmission side, respectively. The chamfered sections are arranged anti-symmetrically. The roll shape functions of the upper and lower working rolls are both composed of three curve segments. The curve function of the upper working roll shape is: in, R u ( x u () represents the radius of the upper working roll, in mm; R 0u The initial radius of the upper working roll is in mm; x u Let [the coordinates of the roller body with the drive side of the above work roller as the endpoint], and the coordinate range be [0, ...]. L ], the unit is mm; x 1u and x 2u The coordinates of the upper work roll profile marker point are in mm. k 1u The roll profile coefficient for the chamfered section of the upper work roll is measured in mm. -1 ; k 2u The roll profile coefficient of the straight chamfered section of the upper work roll is dimensionless. L The effective length of the same roller body for both the upper and lower work rolls, in mm; The curve function of the lower working roll shape is: in, R l ( x l () represents the radius of the lower work roll profile, in mm; R 0l The initial radius of the lower working roll is in mm; x l Let the following be the coordinates of the roll body with the operating side of the work roll as the endpoint, and the coordinate range be [0, ...]. L ], the unit is mm; x 1l and x 2l The coordinates of the lower work roll profile marker point are in mm. k 1l The roll profile coefficient for the chamfered section of the lower work roll is used to control the edge drop, and the unit is mm. -1 ; k 2l The roll profile coefficient for the straight chamfered section of the lower work roll is dimensionless.

2. The roll shape for edge drop control of a 20-roll mill according to claim 1, characterized in that, The coordinates of the upper working roller's roller shape marker point x 1u and x 2u The method for determining it is as follows: in, L 1 represents the total length of the work rolls, where the upper and lower work rolls are identical. L 1= L + L 2, L The effective length of the roller body. L 2 represents the length of the transmission section, in mm; B This refers to the strip width, in mm. w This refers to the width of the strip edge drop zone, in mm. L 3 represents the length of the chamfered section controlled by the edge drop, in mm.

3. The roll shape for edge drop control in a 20-roll mill according to claim 1, characterized in that, The upper working roll edge drop control chamfer section roll shape coefficient k 1u and the roll form factor of the straight chamfered section of the upper work roll k 2u The method for determining it is as follows: in, d u The depth of the full chamfer section of the upper work roll is defined as follows: the full chamfer section includes an edge drop control chamfer section and a straight chamfer section.

4. The roll shape for edge drop control in a 20-roll mill according to claim 1, characterized in that, The coordinates of the lower working roll's roller shape marker point x 1l and x 2l The method for determining it is as follows: in, L 1 represents the total length of the work rolls, where the upper and lower work rolls are identical. L 1= L + L 2, L The effective length of the roller body. L 2 represents the length of the transmission section, in mm; B This refers to the strip width, in mm. w This refers to the width of the strip edge drop zone, in mm. L 3 represents the length of the chamfered section controlled by the edge drop, in mm.

5. The roll shape for edge drop control in a 20-roll mill according to claim 1, characterized in that, The lower working roll edge drop control chamfer section roll form coefficient k 1l Roll form factor of the straight chamfered section of the lower work roll k 2l The method for determining it is as follows: in, d l The depth of the full chamfer section of the lower work roll is defined as follows: the full chamfer section includes an edge drop control chamfer section and a straight chamfer section.

6. The roll shape for edge drop control of a 20-roll mill according to claim 2 or 4, characterized in that, The width of the strip edge drop zone w Use 50-100mm.

7. The roll shape for edge drop control of a 20-roll mill according to claim 2 or 4, characterized in that, The length of the chamfered section is controlled by the edge drop. L 3. Take 100-120mm.

8. The roll shape for edge drop control in a 20-roll mill according to claim 5, characterized in that, The depth of the fully chamfered section of the lower work roll d l for: in, L 3 represents the length of the chamfered section controlled by the edge drop, in mm; d u This refers to the depth of the fully chamfered section of the upper work roll.

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