A variable crown work roll for improving strip flatness and a roll shape design method thereof

Abstract

The application provides a variable crown work roll for improving strip flatness and a roll shape design method thereof, and belongs to the technical field of automatic rolling. The roll shape of the work roll is determined according to the width of the ordinary rolled strip and the position of the local high point of the strip. According to the characteristics of the local high point of the edge of the strip, the edge correction amount of two different ordinary rolled strips is determined. The left edge compensation curve of the roll body is obtained by combining the correction amount constraint, the equal roll shape amount of the joint position of the edge correction area and the main body of the work roll, and the smooth connection constraint of the joint of the segmented curve. The right edge compensation curve of the roll body is obtained by symmetric design according to the center line of the roll. The roll shape curve of the right edge compensation area of the roll body is obtained by superimposing the right edge compensation curve with a cubic curve. Finally, the final work roll shape curve is obtained by splicing the segmented functions. The application reduces the reduction amount of the work roll on the edge of the strip with different ordinary rolling widths, effectively eliminates the local high point of the edge of the strip, and achieves the purpose of improving the strip flatness.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of automatic rolling technology, and in particular to a variable crown work roll for improving strip flatness and a roll shape design method thereof. BACKGROUND

[0002] With the development of rolling technology, the expectation of strip processing enterprises for producing high-quality strip products is increasingly strong. As one of the important evaluation indexes of strip shape quality, the strip flatness quality has always been the focus of attention of major production parties. Good strip flatness can significantly improve the value of high-value-added (such as silicon steel) strip products. In addition, poor control performance of hot-rolled product strip flatness will directly affect the strip flatness quality of downstream processes such as cold rolling, resulting in "ribbing" and even complex wave shape problems.

[0003] Crown, camber and local high points are important indicators for evaluating strip flatness. For camber, there are mature control means, such as rack leveling and rolling center line centering, but for crown and local high points, there is a strong coupling contradiction between them. When producing strip, using a smaller target crown is easy to cause local high points at the edge; and for the control of local high points at the edge, the strategy of adjusting by interfering with roll shifting or reducing bending force will seriously affect the crown and flatness indicators.

[0004] Therefore, coordinating the contradiction between crown and local high point control has become a key factor restricting the improvement of hot-rolled product strip flatness quality. Referring to the control strategy of cold continuous rolling, edge drop control may be one of the good solutions. However, most of the current hot rolling mills, especially CVC rolling mills, lack effective edge drop control means. At the same time, it is also a big problem to ensure effective control of edge drop for different width strips under different roll shifting position conditions. SUMMARY

[0005] The present application provides a variable crown work roll for improving strip flatness and a roll shape design method thereof to solve the problem of poor control ability of hot rolling process strip flatness.

[0006] To solve the above-mentioned application purposes, the technical solutions provided by the present application are as follows:

[0007] A variable crown work roll for improving strip flatness, comprising an edge adjustment area and a roll body main area.

[0008] The edge adjustment area comprises a left side compensation area of the roll body and a right side compensation area of the roll body, which are used to reduce the edge reduction amount of two kinds of common rolling width strips, and are smoothly connected with the roll body main area.

[0009] The work roll shape is composed of three curves, the work roll shape compensation curve is symmetrical about the center line of the roll body, and the calculation formula of the longitudinal coordinate of the work roll shape is:

[0010] y L (x) = b1x + b2x + b3x + b4x 2 3 4

[0011] y0(x) = a1x + a2x + a3x 2 3

[0012] y R (x) = y0(x) + y C

[0013]

[0014] wherein x is the roll body horizontal coordinate, y0(x) is the roll body main area roll shape curve, y L (x) is the roll body left side compensation area roll shape curve function, y R (x) is the roll body right side compensation area roll shape curve function, y C is the roll body right side edge compensation curve function, y is the final roll shape curve,

[0015] a1, a2, a3 are cubic curve polynomial coefficients; b1, b2, b3, b4 are curve polynomial coefficients;

[0016] L is the roll body length, B1 is a kind of hot rolled strip width, E is the edge transverse correction width of strip.

[0017] The calculation formula of the roll body main area roll shape curve polynomial coefficients a1, a2, a3 is:

[0018] a1 = -a2L-3a3(L / 2) 2 -a3B 2 / 4

[0019]

[0020]

[0021] wherein B is the original hot rolled strip width designed in the industrial field; C1 and C2 are the minimum value and the maximum value of the roll gap secondary convexity adjustment domain respectively; s m is the maximum positive roll shifting position of the roll.

[0022] The roll body left side compensation area roll shape curve has four physical constraints:

[0023] The edge correction amount of the strip with a width of B1 is A1;

[0024] The edge correction amount of the strip with a width of B2 is A2; ​​​

[0025] the roll shape value of the edge adjustment zone is equal to the roll shape value of the roll body main area;

[0026] the edge adjustment zone and the roll body main area roll shape curve are smoothly connected;

[0027] wherein B2 is another hot-rolled plate strip width.

[0028] the roll shape curve of the roll body right side compensation zone is obtained by superimposing the roll shape curve of the roll body main area and the roll body right side edge compensation curve,

[0029] the roll body right side edge compensation curve is obtained by inversely symmetrically designing the difference between the roll shape of the roll body left side compensation zone and the roll shape curve of the roll body main area.

[0030] the plate strip edge transverse correction width E is the plate strip edge local high point distribution area width, which is determined according to actual conditions.

[0031] the roll shape design method of the work roll comprises the following steps:

[0032] S1, the position of the edge adjustment zone is designed;

[0033] S2, the roll shape curve of the roll body main area is determined;

[0034] S3, the roll shape curve of the roll body left side compensation zone is designed;

[0035] S4, the roll shape curve of the roll body right side compensation zone is designed;

[0036] S5, the curves obtained in steps S2, S3 and S4 are spliced to obtain a complete roll shape curve.

[0037] the position of the edge adjustment zone in step S1 is determined as follows:

[0038] the starting position of the roll body left side edge adjustment zone (left side compensation zone) is the 0 coordinate position of the left end of the roll body, and the ending position is the (L-B1) / 2+E position; the starting position of the roll body right side compensation zone is (L+B1) / 2-E, and the ending position is L;

[0039] wherein L is the length of the roll body, B1 is a hot-rolled plate strip width, and E is the plate strip edge transverse correction width.

[0040] the right side edge compensation area and the left side edge compensation area in step S3 are symmetric about the center line of the roll body.

[0041] in the process of designing the roll shape curve of the roll body left side compensation zone in step S3, the preset plate strip edge compensation value of the width B1 is A1, and the preset plate strip edge compensation value of the width B2 is A2.

[0042] The roll body left side compensation zone roll shape curve needs to satisfy the following constraint conditions:

[0043] y L ((L-B1) / 2)-y0((L-B1) / 2)=-A1

[0044] y L ((L-B2) / 2)-y0((L-B2) / 2)=-A2

[0045] y L ((L-B1) / 2+E)-y0((L-B1) / 2+E)=0

[0046] y L '((L-B1) / 2+E)-y0'((L-B1) / 2+E)=0

[0047] Wherein, y0((L-B1) / 2) is the roll shape value of the roll body function at the left side edge position of the plate strip with a constant rolling width of B1,

[0048] y0((L-B2) / 2) is the roll shape value of the roll body function at the left side edge position of the plate strip with a constant rolling width of B2,

[0049] y L ((L-B1) / 2) is the roll shape value of the roll shape function at the left side edge position of the plate strip with a constant rolling width of B1 in the roll body left side compensation zone,

[0050] y L ((L-B2) / 2) is the roll shape value of the roll shape function at the left side edge position of the plate strip with a constant rolling width of B2 in the roll body left side compensation zone,

[0051] y L ((L-B1) / 2+E) is the roll shape value of the roll shape function at the end position of the left side compensation zone,

[0052] y0((L-B1) / 2+E) is the roll shape value of the roll body function at the end position of the left side compensation zone,

[0053] y L '((L-B1) / 2+E) is the value of the derivative of the roll shape function at the end position of the left side compensation zone,

[0054] y0'((L-B1) / 2+E) is the value of the derivative of the roll shape function at the end position of the left side compensation zone.

[0055] In the roll body right side edge adjustment zone roll shape curve design in the step S4, the roll body right side edge compensation curve formula is:

[0056] yC (x)=y L (L-x)-y0(L-x).

[0057] Compared with the prior art, the technical scheme has at least the following beneficial effects:

[0058] The scheme realizes the edge reduction control of the hot-rolled plate strip by reasonably designing the edge reduction of the plate strip with different widths, and achieves the plate strip small crown control target while reducing the local high point problem of the plate strip in the hot-rolling production process. The roller shape parameter input grinding machine is flexible, which can be directly input in the form of discrete points, and can be input in the form of high-order polynomial coefficient fitting discrete points.

[0059] The design method of the variable crown work roll for improving the plate strip same plate difference divides the edge adjustment area and the roll body main area based on the plate strip normal rolling width and the local high point distribution position, designs the roll shape curve in the form of a segmented function, and performs smoothing processing on the curve, so as to achieve the purpose of adjusting the plate strip edge reduction of the roll.

[0060] The design method of the present scheme can select the normal rolling plate strip width and the plate strip edge transverse correction width according to the actual situation on site, and is feasible and low in cost on the rolling mill. It has been proved that the variable crown work roll for improving the plate strip same plate difference provided by the present application can significantly improve the control performance of the plate strip same plate difference. BRIEF DESCRIPTION OF DRAWINGS

[0061] In order to more clearly illustrate the technical solutions in the embodiments of the present application, the drawings needed in the embodiment description will be briefly introduced. Obviously, the drawings in the following description are only some embodiments of the present application, and other drawings can be obtained by those skilled in the art without creative labor.

[0062] Figure 1 The roll shape design curve and the compensation function curve provided for the embodiments of the present application;

[0063] Figure 2 The roll gap compensation effect schematic diagram of the roll shape provided for the embodiments of the present application on the plate strip edge at different roll shifting positions, wherein (a) is the roll shifting position-100mm, (b) is the roll shifting position-50mm, (c) is the roll shifting position 0mm, (d) is the roll shifting position 50mm, and (e) is the roll shifting position 100mm. DETAILED DESCRIPTION

[0064] In order to make the purposes, technical solutions and advantages of the embodiments of the present application clearer, the technical solutions of the embodiments of the present application will be described clearly and completely below with reference to the drawings of the embodiments of the present application. Obviously, the described embodiments are part of the embodiments of the present application, rather than all the embodiments of the present application. Based on the described embodiments of the present application, all other embodiments obtained by those of ordinary skill in the art without any creative effort belong to the scope of protection of the present application.

[0065] The present application provides a variable crown work roll for improving the strip-to-strip difference of a plate strip and a roll shape design method thereof.

[0066] The work roll comprises an edge adjustment zone and a roll body main area;

[0067] The edge adjustment zone comprises a left side compensation zone of the roll body and a right side compensation zone of the roll body, which are used to reduce the edge reduction of two kinds of plate strips with a common rolling width, and are smoothly connected with the roll body main area;

[0068] The work roll shape is spliced by three curves, the work roll shape compensation curve is symmetrical about the center line of the roll body, and the calculation formula of the work roll shape longitudinal coordinate is:

[0069] y L (x)=b1x+b2x 2 +b3x 3 +b4x 4

[0070] y0(x)=a1x+a2x 2 +a3x 3

[0071] y R (x)=y0(x)+y C

[0072]

[0073] Wherein, x is the roll body transverse coordinate, y0(x) is the roll body main area roll shape curve, y L (x) is the roll body left side compensation zone roll shape curve function, y R (x) is the roll body right side compensation zone roll shape curve function, y C is the roll body right side edge compensation curve function, y is the final roll shape curve,

[0074] a1, a2, a3 are cubic curve polynomial coefficients; b1, b2, b3, b4 are curve polynomial coefficients;

[0075] L is the roll body length, B1 is the width of one kind of plate strip, and E is the plate strip edge transverse correction width.

[0076] The calculation formula of the roll body main area roll shape curve polynomial coefficients a1, a2, a3 is:

[0077] a1=-a2L-3a3(L / 2) 2 -a3B 2 / 4

[0078]

[0079]

[0080] Wherein, B is the original width of the hot rolled strip designed in the industrial field; C1 and C2 are respectively the minimum value and the maximum value of the roll gap secondary convexity adjustment domain; s m is the maximum positive roll shifting position of the roll.

[0081] The roll shape curve of the left side compensation area of the roll body has four physical constraints:

[0082] The correction amount for the edge of the strip with a width of B1 is A1;

[0083] The correction amount for the edge of the strip with a width of B2 is A2;

[0084] The roll shape value at the junction of the edge adjustment area is equal to the roll shape value of the roll body main area;

[0085] The edge adjustment area and the roll shape curve of the roll body main area are smoothly connected;

[0086] Wherein, B2 is another width of the hot rolled strip.

[0087] The roll shape curve of the right side compensation area of the roll body is obtained by superimposing the roll shape curve of the roll body main area and the roll shape curve of the right side edge compensation area of the roll body,

[0088] The roll shape curve of the right side edge compensation area of the roll body is obtained by anti-symmetrical design on the difference between the roll shape of the left side compensation area and the roll shape curve of the roll body main area.

[0089] The edge transverse correction width E of the strip is the width of the local high point distribution area of the edge of the strip, which is determined according to the actual situation.

[0090] The roll shape design method of the work roll comprises the following steps:

[0091] S1, design the edge adjustment area position;

[0092] S2, determine the roll shape curve of the roll body main area;

[0093] S3, design the roll shape curve of the left side compensation area of the roll body;

[0094] S4, design the roll shape curve of the right side compensation area of the roll body;

[0095] S5, splicing the curves obtained in steps S2, S3, S4 to obtain a complete roll shape curve.

[0096] The position of the edge adjustment zone in step S1 is determined as follows:

[0097] The starting position of the left edge adjustment zone (left compensation zone) of the roll body is the 0 coordinate position of the left end of the roll body, and the ending position is (L-B1) / 2+E; the starting position of the right compensation zone of the roll body is (L+B1) / 2-E, and the ending position is L;

[0098] Wherein, L is the length of the roll body, B1 is the width of a hot-rolled strip, and E is the transverse correction width of the edge of the strip.

[0099] In the process of designing the roll shape curve of the left edge adjustment zone of the roll body in step S3, the preset compensation value of the edge of the strip with a width of B1 is A1, and the preset compensation value of the edge of the strip with a width of B2 is A2.

[0100] The roll shape curve of the left compensation zone of the roll body needs to meet the following constraint conditions:

[0101] y L ((L-B1) / 2)-y0((L-B1) / 2)=-A1

[0102] y L ((L-B2) / 2)-y0((L-B2) / 2)=-A2

[0103] y L ((L-B1) / 2+E)-y0((L-B1) / 2+E)=0

[0104] y L '((L-B1) / 2+E)-y0'((L-B1) / 2+E)=0

[0105] Wherein, y0((L-B1) / 2) is the roll shape value of the roll body function at the left edge position of the strip with a hot-rolling width of B1 in the main body area of the roll body,

[0106] y0((L-B2) / 2) is the roll shape value of the roll body function at the left edge position of the strip with a hot-rolling width of B2 in the main body area of the roll body,

[0107] y L ((L-B1) / 2) is the roll shape value of the roll shape function at the left edge position of the strip with a hot-rolling width of B1 in the left compensation zone of the roll body,

[0108] y L ((L-B2) / 2) is the roll shape value of the roll shape function at the left edge position of the strip with a hot-rolling width of B2 in the left compensation zone of the roll body,

[0109] y L ((L-B1) / 2+E) is the value of the roll shape function of the left side compensation area of the roll body at the end position of the left side compensation area,

[0110] y0((L-B1) / 2+E) is the value of the roll shape function of the main body area of the roll body at the end position of the left side compensation area,

[0111] y L ’((L-B1) / 2+E) is the value of the derivative of the roll shape function of the left side compensation area of the roll body at the end position of the left side compensation area,

[0112] y0’((L-B1) / 2+E) is the value of the derivative of the roll shape function of the main body area of the roll body at the end position of the left side compensation area.

[0113] In the step S4, the roll shape curve of the right side compensation area of the roll body is designed according to the following formula:

[0114] y C (x)=y L (L-x)-y0(L-x)。

[0115] The following will be described in combination with specific embodiments.

[0116] Embodiment 1

[0117] A hot strip mill production line of a certain factory selects a CVC rolling mill for the finishing stand group, the work roll length of the roll body is 1950mm, the main rolling specification is 1515mm wide strip, the roll gap secondary crown adjustment domain is [-0.1mm, 0.6mm], and the maximum positive forward roll shifting position of the roll is 100mm. Since the CVC rolling mill lacks edge drop control capability, the strip same plate difference quality is difficult to guarantee in the rolling process.

[0118] The roll shape of the variable crown work roll capable of improving the strip same plate difference is designed according to the following process.

[0119] Step one: determine the cubic curve function of the roll, as shown in the following formula: Figure 1

[0120] The cubic curve function is:

[0121] y0(x)=a1x+a2x 2 +a3x 3

[0122] a1=-a2L-3a3(L / 2) 2 -a3B 2 / 4

[0123]

[0124] ​

[0125] Wherein, the roll barrel length L = 1950 mm; the original field of the plate strip width B = 1515 mm; the roll gap secondary convexity adjustment domain minimum value C1 = -0.1 mm; the roll gap secondary convexity adjustment domain maximum value C2 = 0.6 mm; the roll positive maximum roll shift position s m = 100 mm. According to the above formula, it is calculated that:

[0126] a1 = 1.154e-03

[0127] a2 = -1.664e-06

[0128] a3 = 6.143e-10

[0129] Step two: according to the field production, increase a plate strip width, set the plate strip width B1 = 1265 mm, B2 = 1515 mm. According to the field plate strip edge local high point distribution area, set the roll to the plate strip edge transverse correction width E = 160 mm; according to the plate strip width and the roll to the plate strip edge correction amount, set the left side edge adjustment area position as: [0 mm, 502.5 mm], set the right side edge adjustment area position as: [1447.5 mm, 1950 mm].

[0130] Step three: design the roll barrel left side edge adjustment zone roll shape curve. In step S3, the preset edge adjustment zone compensation value is A1 = 10 μm, A2 = 15 μm. The roll barrel left side compensation zone roll shape curve is a quartic curve, which is composed of four constraint conditions. Its curve form is:

[0131] y L (x) = b1x + b2x 2 +b3x 3 +b4x 4

[0132] The equation group formed by the constraint conditions is:

[0133] y L (342.5) - y0(342.5) = -0.01

[0134] y L (217.5) - y0(217.5) = -0.015

[0135] y L (502.5) - y0(502.5) = 0

[0136] y L '(502.5) - y0'(502.5) = 0

[0137] Through equation set solving, the polynomial coefficient of the compensation zone curve on the left side of the roll center line is:

[0138] b1=1.068e-03

[0139] b2=-1.905e-06

[0140] b3=2.615e-09

[0141] b4=-2.332e-12

[0142] Step four, the roll body center line right side roll shape curve is designed. In step S4, in the roll body right side edge adjustment zone roll shape curve design process, the roll body right side compensation curve formula is:

[0143] y C (x)=y L (1950-x)-y0(1950-x)(1447.5≤x≤1950)

[0144] The right side final roll shape curve is:

[0145] y R (x)=y0(x)+y C (x)(1447.5≤x≤1950)

[0146] The final roll shape in the embodiment of the application is:

[0147]

[0148] The roll gap compensation effect of the roll shape provided above on the plate strip edge at different roll shifting positions is as shown in the following table. Figure 2

[0149] The roll shape design method for improving the same plate difference of the variable crown work roll provided by the application reduces the reduction amount of the edge of the plate strip of different widths by adjusting the roll shape setting parameters, achieves the purpose of thickening the edge of the hot-rolled plate strip, and effectively improves the same plate difference quality of the plate strip. The roll shape parameter input grinding machine form is flexible, which can be directly input in the form of discrete points, or can be input in the form of high-order polynomial coefficient fitting discrete points.

[0150] The following points need to be explained:

[0151] (1) The drawings of the embodiment of the application only involve the forms involved in the embodiment of the application, and other forms can be referred to the usual design.

[0152] (2) In the case of no conflict, the embodiments of the application and the features in the embodiments can be combined with each other to obtain new embodiments.

[0153] ​The above merely illustrates the specific embodiments of the present application, but the protection scope of the present application is not limited thereto, and the protection scope of the present application should be subject to the protection scope of the claims.

Claims

1. A cambered work roll for improving strip flatness of a strip, characterized in that, The edge adjusting area and the roll body main area are included; The edge adjusting area includes a left side compensation area and a right side compensation area of the roll body, which are used to reduce the edge reduction of two kinds of common rolling width strips, and are smoothly connected with the roll body main area; The working roll contour is spliced by three curves, the working roll contour compensation curve is symmetrical about the roll body center line, and the calculation formula of the working roll contour longitudinal coordinate is: y L (x) = bix + b2x + b3x + b4x 2 + b5x 3 + b6x 4 y0(x) = a1x + a2x 2 + a3x 3 y R (x) = y0(x) + y C wherein x is the roll body horizontal coordinate, y0(x) is the roll body main area roll profile curve, y L (x) is the roll body left side compensation area roll profile curve function, y R (x) is the roll body right side compensation area roll profile curve function, y C is the roll body right side edge compensation curve function, y is the final roll profile curve, a1, a2, a3 are cubic curve polynomial coefficients; b1, b2, b3, b4 are curve polynomial coefficients; L is the roll body length, B1 is the width of one kind of common rolling strip, and E is the strip edge transverse correction width; The calculation formula of the roll body main area roll contour curve polynomial coefficients a1, a2, a3 is: a1 = -a2L - 3a3(L / 2) 2 -a3B 2 / 4 Wherein, B is the original plate strip width designed in the industrial field; C1 and C2 are respectively the minimum value and the maximum value of the roll gap secondary convexity adjustment domain; s m is the maximum forward roll shifting position of the roll The roll contour curve of the left side compensation area of the roll body exists four physical constraints: The edge correction of the strip with a width of B1 is A1; The edge correction of the strip with a width of B2 is A2; The roll contour value of the edge adjusting area and the roll contour value of the roll body main area are equal at the junction; The edge adjusting area and the roll body main area roll contour curve are smoothly connected; B2 is the width of another kind of common rolling strip; The roll contour curve of the right side compensation area of the roll body is obtained by superimposing the roll contour curve of the roll body main area and the right side edge compensation curve of the roll body, The right side edge compensation curve of the roll body is obtained by anti-symmetrical design of the difference between the roll contour of the left side compensation area and the roll contour curve of the roll body main area; The strip edge transverse correction width E is the width of the local high point distribution area of the strip edge, which is determined according to the actual situation.

2. The method of roll contour design of a variable crown work roll for improving strip flatness according to claim 1, wherein The steps are as follows: S1, design the position of the edge adjusting area; S2, determine the roll contour curve of the roll body main area; S3, design the roll contour curve of the left side compensation area of the roll body; S4, design the roll contour curve of the right side compensation area of the roll body; S5, splice the curves obtained in steps S2, S3, S4 to obtain the complete roll contour curve.

3. The method of roll contour design of a variable crown work roll for improving strip flatness according to claim 2, wherein The position of the edge adjusting area in step S1 is determined by the following method: The starting position of the left side compensation area of the roll body is the 0 coordinate position of the left end of the roll body, and the ending position is (L-B1) / 2+E position; The starting position of the right side compensation area of the roll body is (L+B1) / 2-E, and the ending position is L; L is the roll body length, B1 is the width of one kind of common rolling strip, and E is the strip edge transverse correction width.

4. The method of roll contour design of a variable crown work roll for improving strip flatness according to claim 2, wherein In the process of designing the roll contour curve of the left side compensation area of the roll body in step S3, the preset edge correction of the strip with a width of B1 is A1, and the preset edge correction of the strip with a width of B2 is A2; The roll contour curve of the left side compensation area of the roll body needs to meet the following constraint conditions: y L ((L - B1) / 2) - y0((L - B1) / 2) = -A1 y L ((L - B2) / 2) - y0((L - B2) / 2) = -A2 y L ((L - B1) / 2 + E) - y0((L - B1) / 2 + E) = 0 y L ((L - B1) / 2 + E) - y0((L - B1) / 2 + E) = 0 Wherein, y0((L-B1) / 2) is the roll contour value of the roll body function at the left side edge position of the strip with a common rolling width of B1, y0((L-B2) / 2) is the roll contour value of the roll body function at the left side edge position of the strip with a common rolling width of B2, y L ((L - B1) / 2) is the roll shape function value of the left side compensation zone of the roll body at the left side edge position of the plate strip with a normal rolling width of B1, y L ((L - B2) / 2) is the roll shape function value of the left side compensation zone of the roll body at the left side edge position of the plate strip with a normal rolling width of B2, y L ((L-B1) / 2+E) is the roll shape function value at the end of the left compensation zone of the roll body left compensation zone, y0((L-B1) / 2+E) is the roll contour value of the roll body function at the ending position of the left side compensation area, y L '( (L - B1) / 2 + E) is the value of the derivative of the roll contour function of the left compensation zone of the barrel at the end position of the left compensation zone, y0'((L-B1) / 2+E) is the value of the derivative of the roll body function at the ending position of the left side compensation area.

5. The method of roll contour design of a variable crown work roll for improving strip flatness according to claim 2, wherein In the design of the roll contour curve of the right side compensation area of the roll body in the step S4, the formula of the compensation curve of the right side edge of the roll body is: y C (x) = y L (L - x) - y0(L - x).

Images