A composite roll profile curve for hot rolling work rolls and its design method

Abstract

This application provides a composite roll profile curve for hot rolling work rolls and its design method. The composite roll profile curve is composed of a parabolic roll profile curve and a double circular arc roll profile curve superimposed on each side. The composite roll profile curve is symmetrically distributed on both sides, and each side includes a crown control section, an edge drop control section, and a deviation control section. The crown control section corresponds to the middle area of ​​the strip and adopts a parabolic design to control the crown of the hot-rolled strip. The edge drop control section corresponds to the edge of the strip and is smoothly connected to the crown control section. The positive circular arc curve design can reduce the roll profile change rate at the edge of the strip, improve the edge drop of the strip, and uniformize the wear at the edge of the roll. The deviation control section is connected to the edge drop control section and does not contact the strip. The reverse circular arc curve design can prevent the strip from deviating and losing the clamping of both sides of the roll, causing production accidents. This hot-rolled work roll profile can control the cross-sectional profile of the hot-rolled strip and has the ability to resist strip deviation.

Description

Technical Field

[0001] This application relates to the field of strip rolling technology, specifically to a composite roll profile curve for hot rolling work rolls and its design method. Background Technology

[0002] The main indicators for measuring the quality of silicon steel products include iron loss, magnetic induction, plate shape, and transverse plate difference. Among them, the transverse plate difference of silicon steel affects the core stacking coefficient, which in turn affects the iron loss, magnetic induction and other properties of the core. Therefore, reducing the transverse plate difference of silicon steel is of great significance.

[0003] The transverse profile variation of cold-rolled silicon steel is largely influenced by the hot-rolled raw materials. Therefore, it is necessary to improve the control level of the cross-sectional profile of hot-rolled silicon steel. Hot-rolled cross-sectional profile control is mainly divided into central crown control and edge reduction control. Roll profile design is currently the most commonly used method for hot-rolled cross-sectional control in the industry. By adjusting the initial roll profile of the work rolls or support rolls, the stress distribution between the strip and the rolls can be improved, the loaded roll gap shape can be optimized, and the goal of controlling the cross-sectional profile of silicon steel can be achieved. However, most existing roll profile designs have weak resistance to deviation, affecting production stability. For example, patent CN108941204B designs a double-tapered roll type for hot rolling work rolls, which has both hot rolling crown control and edge drop control capabilities. However, this roll type has weak anti-deviation ability. When the strip deviates, it oscillates laterally due to the lack of clamping at both ends of the rolls, affecting production stability. Another example is patent CN107052052B, which designs a roll type for shape control of full-width strip rolling for multiple machine types. This roll type is divided into a crown control section, a wear control section, and a structural process section. It is combined with a roll shifting strategy to achieve uniform wear of the work rolls and improve the crown control level. However, since this roll type is an asymmetrical roll type, it requires high grinding precision from the grinding machine, thus lacking practicality. In addition, one side of the roll type is open, forming a trumpet shape, which weakens its anti-deviation ability.

[0004] Based on some defects in the above roll design, it is necessary to design a hot rolling work roll that can both control the cross-sectional profile of hot-rolled strip and resist strip deviation. Summary of the Invention

[0005] This application provides a composite roll profile curve for hot rolling work rolls and its design method, which can control the cross-sectional profile of hot-rolled strip steel and has the ability to resist strip steel deviation. The technical solution is as follows.

[0006] On the one hand, a composite roll profile curve for hot rolling work rolls is provided. The composite roll profile curve is composed of the superposition of curves corresponding to parabolic roll profile curves and double circular arc roll profile curves respectively. The composite roll profile curve is symmetrically distributed on both sides, and each side of the symmetry includes a convexity control segment of the parabolic part, a side drop control segment of the positive circular arc curve part, and a deviation control segment of the reverse circular arc curve part.

[0007] The convexity control section corresponds to the middle region of the strip; the edge drop control section corresponds to the edge of the strip and is smoothly connected to the convexity control section; the deviation control section is connected to the edge drop control section.

[0008] In one possible implementation, the equation f(x) of the parabolic roller curve is:

[0009] f(x) = ax 2 -x4≤x <x4;

[0010] Where 'a' represents the curve parameter of the convexity control segment of the parabolic roller curve;

[0011] The equation g(x) for the double-circular-arc roller curve is:

[0012]

[0013] Where x represents the axial coordinate of the work roll, y represents the radial coordinate of the work roll, m1, n1, and R1 represent the curve parameters of the edge drop control segment A′C′ of the double circular arc roll profile curve, m2, n2, and R2 represent the curve parameters of the deviation control segment C′D′ of the double circular arc roll profile curve, x1 represents the abscissa of the starting point of the edge drop control segment A′C′ of the double circular arc roll profile curve, x2 represents the abscissa of the characteristic point of the double circular arc roll profile curve for evaluating the edge shape of the strip, x3 represents the abscissa of the starting point of the deviation control segment C′D′ of the double circular arc roll profile curve, and x4 represents the abscissa of the ending point of the deviation control segment C′D′ of the double circular arc roll profile curve.

[0014] The equation for the composite roll profile curve of the hot-rolled work roll is f(x) + g(x).

[0015] In one possible implementation, the curve parameter 'a' of the convexity control segment of the parabolic roller curve is obtained using the following formula:

[0016]

[0017] Where B represents the strip width, C i Let α represent the target convexity of the strip at the outlet of the i-th frame, and let α represent the convexity correction coefficient.

[0018] In one possible implementation, the target convexity C of the strip exiting the i-th frame is obtained by the following formula. i :

[0019] C i =C0·h i / h0;

[0020] Among them, h ih0 represents the thickness of the i-th frame exit, h0 represents the thickness of the finished strip, and C0 represents the target convexity of the finished strip.

[0021] In one possible implementation, the curve equation for the convexity control segment OA of the work roll composite roll profile curve is obtained using the following formula:

[0022]

[0023] In one possible implementation, the curve equation of the edge drop control segment A′C′ of the double circular arc roller curve is obtained by the following formula:

[0024]

[0025] Where d represents the distance from the local high point to the edge of the strip, y′2 represents the radial depth of the A′B′ segment of the double circular arc roll profile curve, A′ represents the starting point of the edge drop control segment of the double circular arc roll profile curve, and B′ represents the feature point of the double circular arc roll profile curve for evaluating the shape of the strip edge.

[0026] In one possible implementation, the edge drop control segment AC of the composite roll profile curve of the work roll is formed by superimposing the edge drop control segments A′C′ of the parabolic roll profile curve and the double circular arc roll profile curve.

[0027] The curve equation for the edge drop control segment AC of the composite roll profile curve of the work roll is obtained using the following formula:

[0028]

[0029] In one possible implementation, the curve equation of the deviation control segment curve C′D′ of the double circular arc roller profile curve is obtained by the following formula:

[0030] (x-m2) 2 +(y-n2) 2 =R2 2 x3≤x≤x4;

[0031] Wherein, m2 and n2 represent the abscissa and ordinate of the circle center O2 formed by the deviation control section curve C′D′ of the double circular arc roller curve, respectively, and R2 represents the radius of the circular arc of the deviation control section curve C′D′ of the double circular arc roller curve.

[0032] In one possible implementation, the deviation control segment CD of the composite roll profile curve of the working roll is formed by superimposing the deviation control segments C′D′ of the parabolic roll profile curve and the double circular arc roll profile curve.

[0033] The curve equation for the deviation control segment CD of the composite roll profile curve of the work roll is obtained by the following formula:

[0034]

[0035] On another front, a method for designing a composite roll profile curve for hot rolling work rolls is provided, the method comprising:

[0036] Obtain the strip width B of the target stand work roll and the target strip crown C at the target stand exit. i and the convexity correction factor α, and based on the strip width B and the target convexity C of the strip at the target frame exit. i And the convexity correction coefficient α, to obtain the curve parameter a of the convexity control segment OA of the target frame work roll composite roll type;

[0037] Based on the curve parameter a, obtain the curve equation of the convexity control segment OA of the target frame work roll composite roll type;

[0038] Obtain the distance d from the edge of the strip to the cat's ear, the coordinates A' of the starting point of the edge drop control segment A'C' of the double circular arc roll profile curve, the limit roll shifting amount Δx of the work roll, and the radial depth y'2 of the A'B' segment of the double circular arc roll profile curve. Based on the distance d from the edge of the strip to the cat's ear, the coordinates A' of the starting point of the edge drop control segment A'C', the limit roll shifting amount Δx of the work roll, and the radial depth y'2 of the A'B' segment, obtain the curve equation of the edge drop control segment A'C' of the double circular arc roll profile curve of the target frame work roll. The A'B' segment is the distance segment from the starting point A' of the edge drop control segment A'B' of the double circular arc roll profile curve to the feature point B' of the double circular arc roll profile curve for evaluating the shape of the strip edge.

[0039] The curve equation of the convexity control segment OA is superimposed with the curve equation of the side drop control segment A′C′ to obtain the curve equation of the side drop control segment AC of the target frame work roll composite roll type.

[0040] Obtain the deviation control segment correction coefficient β, the radial depth of the deviation control segment C″D″ of the parabolic roller profile curve, and the radial depth of the deviation control segment C′D′ of the double circular arc roller profile curve. Based on the deviation control segment correction coefficient β, the radial depth of the deviation control segment C″D″ of the parabolic roller profile curve, and the radial depth of the deviation control segment C′D′ of the double circular arc roller profile curve, obtain the curve equation of the deviation control segment C′D′ of the double circular arc roller profile curve of the target frame work roll.

[0041] The curve equation of the convexity control segment OA is superimposed with the curve equation of the misalignment control segment C′D′ to obtain the curve equation of the misalignment control segment CD of the target frame work roll composite roll type.

[0042] The target composite roll profile curve of the target frame work roll is obtained based on the curve equations of the convexity control segment OA, the edge drop control segment AC, and the deviation control segment CD of the target frame work roll composite roll profile.

[0043] Furthermore, a design apparatus for the composite roll profile curve of hot rolling work rolls is provided, the design apparatus comprising:

[0044] The curve parameter 'a' acquisition module is used to obtain the strip width 'B' of the target stand work roll and the target strip crown 'C' at the target stand exit. i and the convexity correction factor α, and based on the strip width B and the target convexity C of the strip at the target frame exit. i And the convexity correction coefficient α, to obtain the curve parameter a of the convexity control segment OA of the target frame work roll composite roll type;

[0045] The curve equation acquisition module for the convexity control segment OA is used to acquire the curve equation of the convexity control segment OA of the target frame work roll composite roll type based on the curve parameter a.

[0046] The curve equation acquisition module for the edge drop control segment A′C′ of the double circular arc roll profile curve is used to acquire the distance d from the cat ear to the edge of the strip, the coordinates A′ of the starting point of the edge drop control segment A′C′ of the double circular arc roll profile curve, the limit roll slippage Δx of the work roll, and the radial depth y′2 of the A′B′ segment of the double circular arc roll profile curve. Based on the distance d from the cat ear to the edge of the strip, the coordinates A′ of the starting point of the edge drop control segment A′C′, the limit roll slippage Δx of the work roll, and the radial depth y′2 of the A′B′ segment, the curve equation for the edge drop control segment A′C′ of the double circular arc roll profile curve of the target frame work roll is acquired. The A′B′ segment is the distance segment from the starting point A′ of the edge drop control segment A′B′ of the double circular arc roll profile curve to the feature point B′ of the double circular arc roll profile curve for evaluating the shape of the strip edge.

[0047] The curve equation acquisition module for the side drop control section AC of the composite roll type is used to superimpose the curve equation of the convexity control section OA with the curve equation of the side drop control section A′C′ to obtain the curve equation of the side drop control section AC of the composite roll type of the target frame work roll.

[0048] The curve equation acquisition module for the deviation control segment C′D′ of the double circular arc roller curve is used to acquire the deviation control segment correction coefficient β, the radial depth of the deviation control segment C″D″ of the parabolic roller curve, and the radial depth of the deviation control segment C′D′ of the double circular arc roller curve. Based on the deviation control segment correction coefficient β, the radial depth of the deviation control segment C″D″ of the parabolic roller curve, and the radial depth of the deviation control segment C′D′ of the double circular arc roller curve, the curve equation of the deviation control segment C′D′ of the double circular arc roller curve of the target frame work roll is acquired.

[0049] The curve equation acquisition module for the misalignment control section CD of the composite roll type is used to superimpose the curve equation of the convexity control section OA with the curve equation of the misalignment control section C′D′ to obtain the curve equation of the misalignment control section CD of the composite roll type of the target frame work roll.

[0050] The target composite roll profile curve acquisition module is used to acquire the target composite roll profile curve of the target frame work roll based on the curve equation of the convexity control segment OA, the curve equation of the edge drop control segment AC, and the curve equation of the deviation control segment CD of the target frame work roll composite roll profile.

[0051] In another aspect, a computer device is provided, the computer device including a processor and a memory, the memory storing at least one instruction, the at least one instruction being loaded and executed by the processor to implement the above-described method for designing a composite roll profile curve for hot rolling work rolls.

[0052] In another aspect, a computer-readable storage medium is provided, wherein at least one instruction is stored in the storage medium, the at least one instruction being loaded and executed by a processor to implement the above-described method for designing a composite roll profile curve for hot rolling work rolls.

[0053] The technical solution provided in this application may include the following beneficial effects:

[0054] The composite roll profile of the work roll is composed of a parabolic roll profile and a double-circular arc roll profile. This composite roll profile is symmetrically distributed on both sides, with each side including a convexity control section (parabolic portion), an edge drop control section (circular arc portion), and a deviation control section (reverse circular arc portion). The convexity control section and the edge drop control section contact the strip, while the deviation control section does not. The convexity control section corresponds to the middle area of ​​the strip and uses a parabolic design to control the convexity of the hot-rolled strip. The edge drop control section corresponds to the edge of the strip and connects smoothly with the convexity control section. It uses a circular arc design to reduce the roll profile change rate at the strip edge, improve the edge drop, and even out wear at the roll edge, reducing the frequency of cat-ear defects in the later stages of rolling. The deviation control section connects to the edge drop control section but does not contact the strip. It uses a reverse circular arc design to prevent the strip from deviating and losing its grip on both sides of the roll, thus preventing production accidents. In addition, programming software can be used to design a composite roll profile curve calculation module for hot rolling work rolls. This module can quickly obtain the target composite roll profile curve after acquiring the parameters of each roll profile. At the same time, the parameters of each roll profile can be adjusted according to the on-site roll profile usage effect and actual needs to achieve the optimal design of the roll profile. Attached Figure Description

[0055] To more clearly illustrate the technical solutions in the specific embodiments of this application or the prior art, the drawings used in the description of the specific embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of this application. For those skilled in the art, other drawings can be obtained from these drawings without creative effort.

[0056] Figure 1 This is a schematic diagram of a composite roll profile curve for hot rolling work rolls according to an exemplary embodiment.

[0057] Figure 2 This is a schematic diagram of a parabolic roll profile curve for a hot rolling work roll, according to an exemplary embodiment.

[0058] Figure 3 This is a schematic diagram of a double-circular-arc roll profile of a hot-rolling work roll according to an exemplary embodiment.

[0059] Figure 4 This is a schematic diagram of the arc radius R1 of the edge drop control segment A′C′ of a double circular arc roller curve according to an exemplary embodiment.

[0060] Figure 5 This is a schematic diagram showing the tangency of the double circular arcs of the edge drop control segment A′C′ and the deviation control segment C′D′ of the double circular arc roller curve, according to an exemplary embodiment.

[0061] Figure 6 This is a calculation process for the curve equation of the deviation control segment CD of the composite roll profile curve of the work roll, as shown in an exemplary embodiment.

[0062] Figure 7 This is a schematic diagram illustrating a comparison of roller profile curves according to an exemplary embodiment.

[0063] Figure 8 This is a schematic diagram of the hot-rolled crown and number of rolled blocks of a roll profile, according to an exemplary embodiment.

[0064] Figure 9 This is a flowchart illustrating a method for designing a composite roll profile curve for hot rolling work rolls according to an exemplary embodiment.

[0065] Figure 10 This is a structural block diagram illustrating a design apparatus for a composite roll profile curve of a hot rolling work roll, according to an exemplary embodiment.

[0066] Figure 11 A structural block diagram of a computer device illustrated in an exemplary embodiment of this application is shown. Detailed Implementation

[0067] The technical solutions of this application will now be clearly and completely described with reference to the accompanying drawings. Obviously, the described embodiments are only some, not all, of the embodiments of this application. Based on the embodiments of this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.

[0068] It should be understood that in the description of the embodiments of this application, the term "correspondence" may indicate that there is a direct or indirect correspondence between the two, or that there is an association between the two, or that there is a relationship of instruction and being instructed, configuration and being configured, etc.

[0069] Figure 1 This is a schematic diagram of a composite roll profile curve for hot rolling work rolls according to an exemplary embodiment. The composite roll profile curve is composed of the superposition of curves corresponding to a parabolic roll profile curve and a double circular arc roll profile curve, respectively. The composite roll profile curve is symmetrically distributed on both sides, and each side of the symmetry includes a convexity control segment of the parabolic portion, an edge drop control segment of the positive circular arc curve portion, and a deviation control segment of the reverse circular arc curve portion.

[0070] The convexity control section corresponds to the middle region of the strip; the edge drop control section corresponds to the edge of the strip and is smoothly connected to the convexity control section; the deviation control section is connected to the edge drop control section.

[0071] In one possible implementation, please refer to Figure 2The diagram shows a parabolic roll profile curve for a hot rolling mill roll. The equation f(x) for the parabolic roll profile curve is:

[0072] f(x) = ax 2 -x4≤x <x4;

[0073] Where 'a' represents the curve parameter of the convexity control segment of the parabolic roller curve;

[0074] The equation g(x) for the double-circular-arc roller profile curve is:

[0075]

[0076] Where x represents the axial coordinate of the work roll, y represents the radial coordinate of the work roll, m1, n1, and R1 represent the curve parameters of the edge drop control segment A′C′ of the double circular arc roll profile curve, m2, n2, and R2 represent the curve parameters of the deviation control segment C′D′ of the double circular arc roll profile curve, x1 represents the abscissa of the starting point of the edge drop control segment A′C′ of the double circular arc roll profile curve, x2 represents the abscissa of the characteristic point of the evaluation strip edge shape of the double circular arc roll profile curve, x3 represents the abscissa of the starting point of the deviation control segment C′D′ of the double circular arc roll profile curve, and x4 represents the abscissa of the ending point of the deviation control segment curve C′D′ of the double circular arc roll profile curve.

[0077] The equation for the composite roll profile curve of the hot rolling work roll is f(x) + g(x).

[0078] Furthermore, since the composite roll profile curve of the work roll is composed of the superposition of the parabolic roll profile curve and the double circular arc roll profile curve, the equation of the composite roll profile curve of the hot rolling work roll is expressed as f(x)+g(x).

[0079] In one possible implementation, the curve parameter 'a' of the convexity control segment of the parabolic roller profile is obtained using the following formula:

[0080]

[0081] Where B represents the strip width, C i Let α represent the target convexity of the strip at the outlet of the i-th frame, and let α represent the convexity correction coefficient.

[0082] In one possible implementation, the target convexity C of the strip exiting the i-th frame is obtained by the following formula. i :

[0083] C i =C0·h i / h0;

[0084] Among them, h ih0 represents the thickness of the i-th frame exit, h0 represents the thickness of the finished strip, and C0 represents the target convexity of the finished strip.

[0085] In one possible implementation, the curve equation for the convexity control segment OA of the work roll composite roll profile curve is obtained using the following formula:

[0086]

[0087] Where x represents the abscissa of the roll body on the composite roll profile curve of the work roll, B represents the strip width, α represents the crown correction coefficient, and h i h0 represents the thickness of the i-th frame exit, h0 represents the thickness of the finished strip, and C0 represents the target convexity of the finished strip.

[0088] Furthermore, Figure 1 Curve OA in the figure represents the crown control segment of the composite roll profile curve for the work roll, corresponding to the central region of the strip. Its purpose is to control the crown of the hot-rolled strip. This roll profile segment is entirely composed of a parabola, i.e., the curve equation is:

[0089] f(x) = ax 2 ;

[0090] Among them, curve parameters The preset value of the convexity correction factor α is 1; assuming the outlet thickness of the i-th frame is h. i The finished strip thickness is h0, and the target convexity of the finished strip is C0. According to the principle of proportional inheritance of convexity, the target convexity of the strip exiting the i-th stand is C0. i =C0·h i / h0.

[0091] The actual convexity C of the strip steel t Compared with the target convexity C0, if 0.9 ≤ C t If / C0≤1.1, then the correction coefficient α remains unchanged; otherwise, the correction coefficient α=C0 / C t In summary, the curve equation for the convexity control segment OA of the above-mentioned composite roll profile curve can be obtained.

[0092] In one possible implementation, the edge drop control segment AC of the composite roll profile curve of the working roll is formed by superimposing the edge drop control segments A′C′ of the parabolic roll profile curve and the double circular arc roll profile curve.

[0093] The curve equation of the edge drop control segment A′C′ of the double circular arc roller profile curve can be obtained using the following formula:

[0094]

[0095] Where d represents the distance from the local high point to the edge of the strip (i.e., the distance from the cat's ear to the edge of the strip), y′2 represents the radial depth of the A′B′ segment of the double circular arc roll profile curve, A′ represents the starting point of the edge drop control segment of the double circular arc roll profile curve, and B′ represents the characteristic point of the double circular arc roll profile curve for evaluating the shape of the strip edge.

[0096] In one possible implementation, the curve equation of the edge drop control segment AC of the work roll composite roll profile curve is obtained by the following formula:

[0097]

[0098] Furthermore, Figure 1 Curve AC in the figure represents the edge drop control segment of the composite roll profile curve of the work roll, corresponding to the edge region of the strip. The edge drop control segment AC smoothly connects with the crown control segment OA, employing a circular arc curve design. This aims to reduce the roll profile change rate at the strip edge and improve the strip edge drop; simultaneously, it improves the stress distribution at the roll edge, homogenizes roll edge wear, and reduces the frequency of cat-ear defects in the later stages of rolling. The edge drop control segment AC is composed of the superposition of the parabolic roll profile curve f(x) and the edge drop control segment A′C′ of the double circular arc roll profile curve g(x). The calculation process for the edge drop control segment A′C′ of the double circular arc roll profile g(x) is as follows:

[0099] Please refer to Figure 3 The double circular arc roll profile curve is shown. First, the starting point A′(X1, 0) of the edge drop control segment A′C′ of the double circular arc roll profile curve is determined. Generally, it is selected at the position where the cat's ear appears most frequently in the later stage of rolling. Assuming the distance between the cat's ear and the edge of the strip is d, then x1 = 0.5Bd. B′(X2, y′2) is a characteristic point for evaluating the edge shape of the strip and determines the edge drop level of the hot-rolled finished strip. The radial depth y′2 of segment A′B′ takes a value of -0.04mm to -0.01mm. Segment B′C′ is the circular arc extension segment, and C′(x3, y′3) is also the starting point of the deviation control segment C′D′ of the double circular arc roll profile curve. Corresponding to the extreme roll deviation position of the strip, assuming the extreme roll deviation of the work roll is Δx, then x3 = 0.5B + ​​Δx.

[0100] At this point, the radius R1 of the circular arc of the descent control segment A′C′ satisfies the following relationship:

[0101]

[0102] Please refer to Figure 4 The diagram shows the radius R1 of the arc of the side drop control segment A′C′ of the double circular arc roller curve. The half-length of the side drop control segment A′C′ is calculated. The coordinates of the center O1 are m1 = X1. This yields the curve equation for the edge drop control segment A′C′ of the double circular arc roller profile curve described above. Then, by superimposing the curve equation for the edge drop control segment A′C′ with the parabolic roller profile, the curve equation for the edge drop control segment AC of the aforementioned work roll composite roller profile curve can be obtained.

[0103] In one possible implementation, the deviation control segment CD of the composite roll profile curve of the working roll is formed by superimposing the deviation control segments C′D′ of the parabolic roll profile curve and the double circular arc roll profile curve.

[0104] The curve equation of the deviation control segment curve C′D′ of this double circular arc roller profile curve can be obtained using the following formula:

[0105] (x-m2) 2 +(y-n2) 2 =R2 2 x3≤x≤x4;

[0106] Where m2 and n2 represent the abscissa and ordinate of the center O2 formed by the deviation control section curve C′D′ of the double circular arc roller curve, respectively, and R2 represents the radius of the circular arc of the deviation control section curve C′D′ of the double circular arc roller curve.

[0107] In one possible implementation, the curve equation for the deviation control segment CD of the work roll composite roll profile curve is obtained using the following formula:

[0108]

[0109] Where x4 represents the x-coordinate of the endpoint of the deviation control segment CD of the composite roll profile curve of the work roll.

[0110] Furthermore, Figure 1 Curve CD in the diagram represents the deviation control section of the composite roll profile curve of the work roll. It connects to the edge drop control section AC but does not contact the strip. The deviation control section CD employs a reverse circular arc curve design. This design aims to prevent the strip from slipping and swaying laterally after it deviates from the roll, thus avoiding production accidents. It also reduces the risk of edge flipping that may occur after deviation. The deviation control section CD is composed of the superposition of deviation control sections C′D′ of the parabolic roll profile f(x) and the double circular arc roll profile g(x). The calculation process for the deviation control section C′D′ of the double circular arc roll profile g(x) is as follows:

[0111] The starting point of the deviation control segment C′D′ is C′(x3, y′3), where x3 = 0.5B + ​​Δx, and y′3 = g(x3); the ending point of the deviation control segment C′D′ is D′(x4, y′4), where x4 = L wr / 2,L wr Given the length of the work roll body, the radial depth y′4 of the deviation control section C′D′ satisfies the following relationship:

[0112] β(f(x4)-f(x3))=y′3-y′4;

[0113] In the formula, β is the correction coefficient for the deviation control section, and the value of β ranges from 0.1 to 0.5. To ensure the control effect of the edge drop of the roll, the value of β is initially set to the upper limit of 0.5. The curve equation of the deviation control section curve C′D′ is calculated below based on y′4:

[0114] Please refer to Figure 5 The diagram shows the tangency of the double circular arcs in the side drop control segment A′C′ and the deviation control segment C′D′ of the double circular arc roller curve. Since the circular arc C′D′ is tangent to A′C′ at point C′, the slopes of the two circular arcs are equal at point C′, meaning that the straight line O1C′ coincides with the straight line O2C′. Therefore, the center O2(m2, n2) satisfies the following condition:

[0115]

[0116] At the same time, the distances between the center O2 and the two endpoints C′ and D′ of the arc are equal, thus satisfying the following equation:

[0117] (m2-x3) 2 +(n2-y′3) 2 = (m2-x4) 2 +(n²-y′⁴) 2

[0118] Combining the two conditions above, the coordinates of the center O2 of the circle can be obtained:

[0119]

[0120] In the formula, parameters m1 and n1 are obtained by solving the edge drop control segment A′C′ of the double circular arc roller curve, and the radius of the circular arc is... The curve equation of the deviation control segment C′D′ of the double circular arc roller curve can be obtained as shown above.

[0121] Furthermore, to ensure that the slope of the curve increases from the midpoint of the deviation control segment CD of the composite roll profile curve of the work roll, the inequality is judged. If the condition is not met, let β = β - 0.1, and recalculate the curve equation of the deviation control segment C′D′ of the double circular arc roller profile curve. If the condition is met, output the curve equation of the deviation control segment CD of the work roll composite roller profile curve as described above. Then, superimpose the curve equation of the deviation control segment C′D′ of the double circular arc roller profile curve with the parabolic roller profile to obtain the curve equation of the deviation control segment CD of the work roll composite roller profile curve as described above. Please refer to [reference here]. Figure 6 The calculation process for the curve equation of the deviation control segment CD of the composite roll profile curve of the work roll shown.

[0122] The following explains the content disclosed in the above embodiments through simple examples:

[0123] The composite roll profile curve of hot rolling work rolls was applied to a 1450 hot rolling production line, which consists of a seven-stand four-high rolling mill. The main parameters of the unit are shown in Table 1.

[0124] Table 1

[0125]

[0126] Comparative example:

[0127] The original roll type of the work rolls of frames F1 to F7 is a conventional parabolic roll type, and the roll crown is shown in Table 2. This roll type is used for the production of 1250mm wide non-oriented silicon steel 50W600 as a comparative example of this application.

[0128] Table 2

[0129]

[0130] Example:

[0131] The upstream stands of the hot rolling finishing mill primarily control crown, while the downstream stands primarily control strip shape. Therefore, the composite roll profile curve of the hot rolling work rolls is applied to the upstream stands F1 to F3 to achieve the best hot rolling crown control effect; the hot rolling work rolls F4 to F7 adopt the same conventional parabolic roll profile and roll crown as the comparative example. See Table 3 for details.

[0132] Table 3

[0133]

[0134] First, the composite roll profile curve for hot rolling work rolls is designed for the F1 stand work rolls. The calculation process of the curve equation for the convexity control segment OA of the composite roll profile curve for hot rolling work rolls is as follows:

[0135] Given that the strip width B is 1250mm, the target convexity C0 at the F7 stand exit is 0.025mm, the thickness h5 at the F1 stand exit is 24mm, and the finished strip thickness h0 is 2.5mm, the target convexity C5 at the F1 stand exit is calculated to be 0.24mm, with a convexity correction factor α of 1. Therefore, the parabola parameters... The curve equation for the crown control segment OA of the hot rolling work roll composite roll profile curve is:

[0136] f(x) = 3.07 × 10 -7 x 2

[0137] The calculation process for the curve equation of the edge drop control segment AC of the hot rolling work roll composite roll profile curve is as follows:

[0138] Given that the distance *d* from the edge of the strip to the location where the cat's ear shape forms is approximately 125 mm, the abscissa of the starting point of the edge drop control segment A′C′ of the double circular arc roll profile curve is x1 = 0.5Bd = 500 mm, and the radial depth y′2 of segment A′B′ is -0.01 mm. The limit roll slippage Δx is 60 mm, resulting in x3 = 0.5B + ​​Δx = 685 mm. Using the above parameters, the curve equation of the edge drop control segment A′C′ of the double circular arc roll profile curve is obtained as follows:

[0139] (x-500) 2 +(y+781250) 2 =781250 2 ;

[0140] The parabolic equation f(x) (i.e., the curve equation of the convexity control segment OA of the above-mentioned composite roll profile curve) is superimposed with the curve equation of the edge drop control segment A′C′ of the double circular arc roll profile curve to obtain the curve equation of the edge drop control segment AC of the hot rolling composite roll profile curve:

[0141]

[0142] The calculation process of the curve equation for the deviation control CD of the hot rolling work roll composite roll profile curve is as follows:

[0143] First, determine the radial depth of the deviation control segment C″D of the parabolic roller curve as follows:

[0144] f(x4)-f(x3)=f(850)-f(685)=0.078mm;

[0145] The correction coefficient β for the misalignment control section is set to 0.3. Therefore, the radial depth of the misalignment control section C′D′ of the double circular arc roller profile curve is:

[0146] y″4=g(x3)-0.3×0.078=-0.045mm;

[0147] Based on the above parameters, the curve equation for the deviation control segment C′D′ of the double circular arc roller profile is calculated as follows:

[0148] (x-890.7) 2 +(y-868982.88) 2 =868982.93 2 ;

[0149] judge If the inequality condition is satisfied, then the curve equation of the deviation control segment C′D′ of the double circular arc roller curve is valid.

[0150] The deviation control segments C′D′ of the parabolic roller profile curve and the double circular arc roller profile curve are superimposed to form the deviation control segment CD of the composite roller profile curve of the work roll:

[0151]

[0152] In summary, the equation for the composite roll profile curve of the hot rolling work rolls on the F1 stand is as follows:

[0153]

[0154] Similarly, the equation for the composite roll profile curve of the hot rolling work rolls on the F2 stand is calculated as follows:

[0155]

[0156] The equation for the composite roll profile curve of the F3 stand hot rolling work roll is:

[0157]

[0158] Please refer to Figure 7 The diagram showing the comparison of roller curves and Figure 8 The schematic diagram of the hot-rolled crown and number of rolling blocks shown is illustrated. The discrete point data of the roll profile curve is sent to the grinding mill to complete the grinding of the composite roll profile curve of the hot-rolled work rolls. This data is then applied to the upstream F1-F3 stands for debugging. During the debugging process, production was stable, the wear on the roll edges was more uniform, and there were virtually no cat-ear defects in the later stages of rolling. Furthermore, the number of silicon steel rolling blocks per unit cycle increased from 40 to 50. Crown data shows that the average hot-rolled crown C40 of the debugging unit decreased from 30μm to approximately 25μm, and the compliance rate of crown C40≤30μm increased from 50% to 100%, indicating that the composite roll profile of the hot-rolled work rolls has a significant impact on improving the crown control level of the mill.

[0159] In summary, the composite roll profile curve of this work roll is composed of a parabolic roll profile curve and a double circular arc roll profile curve superimposed on each side. This composite roll profile curve is symmetrically distributed on both sides, and each side includes a convexity control section in the parabolic portion, an edge drop control section in the positive circular arc curve portion, and a deviation control section in the reverse circular arc curve portion. The convexity control section and the edge drop control section contact the strip, while the deviation control section does not. The convexity control section corresponds to the middle region of the strip and uses a parabolic design to control the convexity of the hot-rolled strip. The edge drop control section corresponds to the edge of the strip and is smoothly connected to the convexity control section. It uses a positive circular arc curve design to reduce the roll profile change rate at the strip edge, improve the edge drop, and uniformly wear the roll edge, reducing the frequency of cat-ear defects in the later stages of rolling. The deviation control section connects to the edge drop control section but does not contact the strip. It uses a reverse circular arc curve design to prevent the strip from deviating and losing its grip on both sides of the roll, thus preventing production accidents. In addition, programming software can be used to design a composite roll profile curve calculation module for hot rolling work rolls. This module can quickly obtain the target composite roll profile curve after acquiring the parameters of each roll profile. At the same time, the parameters of each roll profile can be adjusted according to the on-site roll profile usage effect and actual needs to achieve the optimal design of the roll profile.

[0160] Figure 9 This is a flowchart illustrating a method for designing a composite roll profile curve for hot rolling work rolls according to an exemplary embodiment. This design method is used to achieve, for example... Figure 1 The curve of the composite roll profile for hot rolling work rolls is shown. (Example:) Figure 9 As shown, this design method may include the following steps:

[0161] S901, Obtain the strip width of the target frame work roll; B, Obtain the target strip crown at the target frame exit; C, Obtain the strip crown at the target frame exit. i and the convexity correction factor α, and based on the strip width B and the target convexity C of the strip at the target frame exit. i And the convexity correction coefficient α, to obtain the curve parameter a of the convexity control segment OA of the target frame work roll composite roll type.

[0162] S902. Based on the curve parameter a, obtain the curve equation of the convexity control segment OA of the composite roll type of the target frame work roll.

[0163] S903. Obtain the distance d between the cat's ear and the edge of the strip, the coordinates A' of the starting point of the edge drop control segment A'C' of the double circular arc roll profile curve, the limit roll shifting amount Δx of the work roll, and the radial depth y'2 of the A'B' segment of the double circular arc roll profile curve. Based on the distance d between the cat's ear and the edge of the strip, the coordinates A' of the starting point of the edge drop control segment A'C', the limit roll shifting amount Δx of the work roll, and the radial depth y'2 of the A'B' segment, obtain the curve equation of the edge drop control segment A'C' of the double circular arc roll profile curve of the target frame. The A'B' segment is the distance segment from the starting point A' of the edge drop control segment A'B' of the double circular arc roll profile curve to the feature point B' of the double circular arc roll profile curve for evaluating the shape of the strip edge.

[0164] S904. Superimpose the curve equation of the convexity control segment OA with the curve equation of the side drop control segment A′C′ to obtain the curve equation of the side drop control segment AC of the target frame work roll composite roll type.

[0165] S905. Obtain the deviation control segment correction coefficient β, the radial depth of the deviation control segment C″D″ of the parabolic roller profile curve, and the radial depth of the deviation control segment C′D′ of the double circular arc roller profile curve. Based on the deviation control segment correction coefficient β, the radial depth of the deviation control segment C″D″ of the parabolic roller profile curve, and the radial depth of the deviation control segment C′D′ of the double circular arc roller profile curve, obtain the curve equation of the deviation control segment C′D′ of the double circular arc roller profile curve of the target frame work roll.

[0166] S906. Superimpose the curve equation of the convexity control segment OA with the curve equation of the misalignment control segment C′D′ to obtain the curve equation of the misalignment control segment CD of the target frame work roll composite roll type.

[0167] S907. Based on the curve equations of the convexity control segment OA, the side drop control segment AC, and the deviation control segment CD of the target frame work roll composite roll type, obtain the target composite roll type curve of the target frame work roll.

[0168] In one possible implementation, a hot rolling work roll composite roll profile curve calculation module is designed using programming software to achieve efficient and automated calculation of the roll profile. Relevant roll profile parameters are obtained: the distance d from the cat's ear to the strip edge, the work roll's maximum roll shifting amount Δx, the target crown of the finished strip C0, the radial depth y′2 of the A′B′ segment of the double circular arc roll profile curve, correction coefficients α and β, and the exit thickness h of the i-th stand. i and the finished strip thickness h0, the length of the work roll body L wrThe strip width B allows for rapid calculation of the composite roll profile curve equation for hot rolling work rolls. The specific calculation process can be found in the above embodiment, and the roll profile data and a visualized image of the roll profile curve are output according to the set step size. The roll profile parameters can be adjusted based on the on-site roll profile usage and hot rolling crown control requirements, offering a degree of flexibility.

[0169] In summary, the composite roll profile curve of this work roll is composed of a parabolic roll profile curve and a double circular arc roll profile curve superimposed on each side. This composite roll profile curve is symmetrically distributed on both sides, and each side includes a convexity control section in the parabolic portion, an edge drop control section in the positive circular arc curve portion, and a deviation control section in the reverse circular arc curve portion. The convexity control section and the edge drop control section contact the strip, while the deviation control section does not. The convexity control section corresponds to the middle region of the strip and uses a parabolic design to control the convexity of the hot-rolled strip. The edge drop control section corresponds to the edge of the strip and is smoothly connected to the convexity control section. It uses a positive circular arc curve design to reduce the roll profile change rate at the strip edge, improve the edge drop, and uniformly wear the roll edge, reducing the frequency of cat-ear defects in the later stages of rolling. The deviation control section connects to the edge drop control section but does not contact the strip. It uses a reverse circular arc curve design to prevent the strip from deviating and losing its grip on both sides of the roll, thus preventing production accidents. In addition, programming software can be used to design a composite roll profile curve calculation module for hot rolling work rolls. This module can quickly obtain the target composite roll profile curve after acquiring the parameters of each roll profile. At the same time, the parameters of each roll profile can be adjusted according to the on-site roll profile usage effect and actual needs to achieve the optimal design of the roll profile.

[0170] Figure 10 This is a structural block diagram illustrating a design apparatus for a composite roll profile of a hot-rolled work roll according to an exemplary embodiment. The design apparatus includes:

[0171] The curve parameter a acquisition module 101 is used to acquire the strip width B of the target stand work roll and the target strip crown C at the target stand exit. i and the convexity correction factor α, and based on the strip width B and the target convexity C of the strip at the target frame exit. i And the convexity correction coefficient α, to obtain the curve parameter a of the convexity control segment OA of the target frame work roll composite roll type;

[0172] The curve equation acquisition module 102 for the convexity control segment OA is used to acquire the curve equation of the convexity control segment OA of the target frame work roll composite roll type based on the curve parameter a.

[0173] The curve equation acquisition module 103 for the edge drop control segment A′C′ of the double circular arc roll profile curve is used to acquire the distance d between the cat ear and the edge of the strip, the coordinates A′ of the starting point of the edge drop control segment A′C′ of the double circular arc roll profile curve, the limit roll slippage Δx of the work roll, and the radial depth y′2 of the A′B′ segment of the double circular arc roll profile curve. Based on the distance d between the cat ear and the edge of the strip, the coordinates A′ of the starting point of the edge drop control segment A′C′, the limit roll slippage Δx of the work roll, and the radial depth y′2 of the A′B′ segment, the curve equation for the edge drop control segment A′C′ of the double circular arc roll profile curve of the target frame work roll is acquired. The A′B′ segment is the distance segment from the starting point A′ of the edge drop control segment A′B′ of the double circular arc roll profile curve to the feature point B′ of the double circular arc roll profile curve for evaluating the shape of the strip edge.

[0174] The curve equation acquisition module 104 for the side drop control section AC of the composite roll type is used to superimpose the curve equation of the convexity control section OA with the curve equation of the side drop control section A′C′ to obtain the curve equation of the side drop control section AC of the composite roll type of the target frame work roll.

[0175] The curve equation acquisition module 105 for the deviation control segment C′D′ of the double circular arc roller curve is used to acquire the deviation control segment correction coefficient β, the radial depth of the deviation control segment C″D″ of the parabolic roller curve, and the radial depth of the deviation control segment C′D′ of the double circular arc roller curve. Based on the deviation control segment correction coefficient β, the radial depth of the deviation control segment C″D″ of the parabolic roller curve, and the radial depth of the deviation control segment C′D′ of the double circular arc roller curve, the curve equation of the deviation control segment C′D′ of the double circular arc roller curve of the target frame work roll is acquired.

[0176] The curve equation acquisition module 106 for the misalignment control section CD of the composite roll type is used to superimpose the curve equation of the convexity control section OA with the curve equation of the misalignment control section C′D′ to obtain the curve equation of the misalignment control section CD of the composite roll type of the target frame work roll.

[0177] The target composite roll profile curve acquisition module 107 is used to acquire the target composite roll profile curve of the target frame work roll based on the curve equation of the convexity control segment OA, the curve equation of the side drop control segment AC, and the curve equation of the deviation control segment CD of the target frame work roll composite roll profile.

[0178] In summary, the composite roll profile curve of this work roll is composed of a parabolic roll profile curve and a double circular arc roll profile curve superimposed on each side. This composite roll profile curve is symmetrically distributed on both sides, and each side includes a convexity control section in the parabolic portion, an edge drop control section in the positive circular arc curve portion, and a deviation control section in the reverse circular arc curve portion. The convexity control section and the edge drop control section contact the strip, while the deviation control section does not. The convexity control section corresponds to the middle region of the strip and uses a parabolic design to control the convexity of the hot-rolled strip. The edge drop control section corresponds to the edge of the strip and is smoothly connected to the convexity control section. It uses a positive circular arc curve design to reduce the roll profile change rate at the strip edge, improve the edge drop, and uniformly wear the roll edge, reducing the frequency of cat-ear defects in the later stages of rolling. The deviation control section connects to the edge drop control section but does not contact the strip. It uses a reverse circular arc curve design to prevent the strip from deviating and losing its grip on both sides of the roll, thus preventing production accidents. In addition, programming software can be used to design a composite roll profile curve calculation module for hot rolling work rolls. This module can quickly obtain the target composite roll profile curve after acquiring the parameters of each roll profile. At the same time, the parameters of each roll profile can be adjusted according to the on-site roll profile usage effect and actual needs to achieve the optimal design of the roll profile.

[0179] Figure 11 A structural block diagram of a computer device is shown in an exemplary embodiment of this application. The computer device includes a memory and a processor. The memory stores a computer program, which, when executed by the processor, implements the above-described method for designing a composite roll profile curve for hot rolling work rolls.

[0180] The processor can be a central processing unit (CPU). It can also be other general-purpose processors, digital signal processors (DSPs), application-specific integrated circuits (ASICs), field-programmable gate arrays (FPGAs), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, or combinations thereof.

[0181] Memory, as a non-transitory computer-readable storage medium, can be used to store non-transitory software programs, non-transitory computer-executable programs, and modules, such as the program instructions / modules corresponding to the methods in the embodiments of this invention. The processor executes various functional applications and data processing by running the non-transitory software programs, instructions, and modules stored in the memory, thereby implementing the methods described in the above embodiments.

[0182] The memory may include a program storage area and a data storage area. The program storage area may store the operating system and applications required for at least one function; the data storage area may store data created by the processor, etc. Furthermore, the memory may include high-speed random access memory and non-transitory memory, such as at least one disk storage device, flash memory device, or other non-transitory solid-state storage device. In some embodiments, the memory may optionally include memory remotely located relative to the processor, which can be connected to the processor via a network. Examples of such networks include, but are not limited to, the Internet, corporate intranets, local area networks, mobile communication networks, and combinations thereof.

[0183] One embodiment of this application also provides a computer storage medium for storing a computer program, which, when executed by a processor, implements the above-described method for designing a composite roll profile curve for hot rolling work rolls.

[0184] Those skilled in the art will understand that all or part of the processes in the above-described embodiments can be implemented by a computer program instructing related hardware. The program can be stored in a computer-readable storage medium, and when executed, it can include the processes of the embodiments described above. The storage medium can be a magnetic disk, optical disk, read-only memory (ROM), random access memory (RAM), flash memory, hard disk drive (HDD), or solid-state drive (SSD), etc.; the storage medium can also include combinations of the above types of memory.

[0185] Although embodiments of the invention have been described in conjunction with the accompanying drawings, those skilled in the art can make various modifications and variations without departing from the spirit and scope of the invention, and such modifications and variations all fall within the scope defined by the appended claims.

Claims

1. A composite roll profile curve for hot rolling work rolls, characterized in that, The composite roller profile curve of the working roller is composed of a parabolic roller profile curve and a double circular arc roller profile curve superimposed. The composite roller profile curve of the working roller is symmetrically distributed on both sides, and each side of the symmetry includes a convexity control section of the parabolic part, a side drop control section of the positive circular arc curve part, and a deviation control section of the reverse circular arc curve part. The convexity control section corresponds to the middle region of the strip; the edge drop control section corresponds to the edge of the strip and is smoothly connected to the convexity control section; the deviation control section is connected to the edge drop control section. The equation f(x) for the parabolic roller curve is: ； Where 'a' represents the curve parameter of the convexity control segment of the parabolic roller curve; The equation g(x) for the double-circular-arc roller curve is: ； Where x represents the axial coordinate of the work roll. The coordinates of the work roll are represented by the radial coordinates of the roll. m1, n1, and R1 represent the curve parameters of the edge drop control segment A′C′ of the double circular arc roll profile curve. m2, n2, and R2 represent the curve parameters of the deviation control segment C′D′ of the double circular arc roll profile curve. x1 represents the abscissa of the starting point of the edge drop control segment A′C′ of the double circular arc roll profile curve. x2 represents the abscissa of the characteristic point of the double circular arc roll profile curve for evaluating the edge shape of the strip. x3 represents the abscissa of the starting point of the deviation control segment C′D′ of the double circular arc roll profile curve. x4 represents the abscissa of the ending point of the deviation control segment C′D′ of the double circular arc roll profile curve. The equation for the composite roll profile curve of the hot-rolled work roll is: The curve parameter 'a' of the convexity control segment of the parabolic roller curve is obtained using the following formula: ； Where B represents the strip width, Indicates the first i Target convexity of strip steel at frame exit. Indicates the convexity correction factor; The target convexity of the strip steel exiting the i-th frame is obtained using the following formula. : ； in, h i Indicates the thickness of the outlet of the i-th rack. h 0 indicates the thickness of the finished strip steel. This indicates the target convexity of the finished strip steel.

2. The composite roll profile curve of hot-rolled work rolls according to claim 1, characterized in that, The curve equation for the convexity control segment OA of the composite roll profile curve of the work roll is obtained using the following formula: 。 3. The composite roll profile curve of hot-rolled work rolls according to any one of claims 1 to 2, characterized in that, The curve equation of the side drop control segment A′C′ of the double circular arc roller curve is obtained by the following formula: ； Where d represents the distance from the local high point to the edge of the strip. y ′2 represents the radial depth of segment A′B′ of the double circular arc roll profile curve, A′ represents the starting point of the edge drop control segment of the double circular arc roll profile curve, and B′ represents the feature point of the double circular arc roll profile curve for evaluating the edge shape of the strip.

4. The composite roll profile curve of hot rolling work rolls according to claim 3, characterized in that, The edge drop control segment AC of the composite roller profile curve of the working roll is formed by superimposing the edge drop control segments A′C′ of the parabolic roller profile curve and the double circular arc roller profile curve. The curve equation for the edge drop control segment AC of the composite roll profile curve of the work roll is obtained using the following formula: 。 5. The composite roll profile curve of hot-rolled work rolls according to any one of claims 1 to 2, characterized in that, The curve equation of the deviation control segment curve C′D′ of the double circular arc roller curve is obtained by the following formula: ； Where m2 and n2 represent the abscissa and ordinate of the center O2 formed by the deviation control segment curve C′D′ of the double circular arc roller curve, respectively. This represents the radius of the arc of the deviation control section curve C′D′ of the double circular arc roller curve.

6. The composite roll profile curve of hot rolling work rolls according to claim 5, characterized in that, The deviation control segment CD of the composite roller profile curve of the working roller is formed by superimposing the deviation control segments C′D′ of the parabolic roller profile curve and the double circular arc roller profile curve. The curve equation for the deviation control segment CD of the composite roll profile curve of the work roll is obtained by the following formula: 。 7. A method for designing the composite roll profile curve of a hot-rolled work roll as described in claim 6, characterized in that, The design method includes: Obtain the strip width B of the target stand work roll and the target strip crown at the target stand exit. and convexity correction factor And based on the strip width B and the target convexity of the strip at the target frame exit. and the convexity correction coefficient Obtain the curve parameter a of the convexity control segment OA of the composite roll type of the target frame work roll; Based on the curve parameter a, obtain the curve equation of the convexity control segment OA of the target frame work roll composite roll type; Get the distance from the cat ear to the edge of the strip. d The starting point coordinates A′ of the side drop control segment A′C′ of the double circular arc roller profile curve, and the limit roll shifting amount of the work roll. and the radial depth of segment A′B′ of the double circular arc roller curve y ′2, and based on the distance of the cat ears from the edge of the strip steel. d The starting point coordinates A′ of the side drop control section A′C′, and the limit roll shifting amount of the work roll. and the radial depth of segment A′B′ y ′2, obtain the curve equation of the edge drop control segment A′C′ of the double circular arc roll profile curve of the target frame work roll; the A′B′ segment is the distance segment from the starting point A′ of the edge drop control segment A′B′ of the double circular arc roll profile curve to the feature point B′ of the evaluation strip edge shape of the double circular arc roll profile curve; The curve equation of the convexity control segment OA is superimposed with the curve equation of the side drop control segment A′C′ to obtain the curve equation of the side drop control segment AC of the target frame work roll composite roll type. Obtain the correction coefficient for the deviation control section The deviation control section C of the parabolic roller curve D The radial depth of the double-arc roller curve and the radial depth of the deviation control section C′D′, and based on the deviation control section correction coefficient. The deviation control segment C of the parabolic roller curve D The radial depth and the radial depth of the deviation control segment C′D′ of the double circular arc roller curve are used to obtain the curve equation of the deviation control segment C′D′ of the double circular arc roller curve of the target frame work roll. The curve equation of the convexity control segment OA is superimposed with the curve equation of the misalignment control segment C′D′ to obtain the curve equation of the misalignment control segment CD of the target frame work roll composite roll type. The target composite roll profile curve of the target frame work roll is obtained based on the curve equations of the convexity control segment OA, the edge drop control segment AC, and the deviation control segment CD of the target frame work roll composite roll profile.

Images