A working roll profile design method for eliminating compound waves in the strip edge

Abstract

The present invention discloses a method for designing the roll shape of a working roll for eliminating compound waves in the edge of a plate strip, the method comprising: based on the wave occurrence position, along the direction from the transmission side to the operating side, the roll shape of the working roll is divided into the transmission side edge area, the transmission side rib area, the middle area, the operating side rib area and the operating side edge area in sequence; based on the wave occurrence position and size, the correction height and correction width of the corresponding position are determined, and the roll shape curves of the transmission side edge area, the transmission side rib area, the middle area, the operating side rib area and the operating side edge area are designed respectively to reduce the contact pressure at the wave occurrence position and eliminate the wave shape of the plate strip. The technical solution of the present invention adopts a piecewise function method to design the roll shape of the working roll, and achieves the purpose of eliminating compound waves in the edge of the plate strip by reducing the amount of pressure of the working roll on the edge position and the middle position of the plate strip.

Description

Technical Field

[0001] The invention relates to the fields of metallurgical machinery, automation and rolling technology, and in particular to a working roll shape design method for eliminating composite waves in the edge of a plate or strip. Background Art

[0002] Plate shape is an important quality indicator of hot rolled coils. As users have higher and higher requirements for plate shape, higher requirements are placed on the accuracy of plate shape control. The wave shape produced by rolling needs to be flattened later, which increases the manufacturing cost. At the same time, the occurrence of wave shape will also harm product quality, mechanical properties, processing difficulty and equipment loss.

[0003] For the same-width rolling production process with a long rolling mileage, the uneven wear of the edges and the thermal convexity of the middle are both large, which easily leads to the edge-middle compound wave defect. This defect cannot be solved by bending the roll, because if a positive bending roll is applied, although the edge wave can be reduced, the middle wave will be more prominent; similarly, applying a negative bending roll will also have the disadvantage of losing one thing while gaining another. Therefore, a more flexible and effective method is needed to solve the edge-middle compound wave defect.

[0004] Roller profiling technology is an important method to solve complex plate shape problems. Starting from the mechanism of wave shape generation, the work roll profile can be reasonably designed to reduce the local pressure of the plate and strip, thereby reducing the contact pressure at the wave shape position, so as to achieve the purpose of eliminating the wave shape of the plate and strip. However, the conventional secondary crown roll profile curve has limited control ability for the composite wave defects in the edge and cannot meet the high-quality plate shape requirements of plate and strip rolling. Summary of the invention

[0005] The present invention provides a working roll profile design method for eliminating compound waves in the edge of a plate and strip, so as to solve the technical problem that the conventional secondary convex roll profile curve has limited control ability for compound wave defects in the edge and cannot meet the high-quality plate shape requirements of plate and strip rolling.

[0006] In order to solve the above technical problems, the present invention provides the following technical solutions:

[0007] On the one hand, the present invention provides a working roll profile design method for eliminating compound waves in the edge of a plate strip, and the working roll profile design method for eliminating compound waves in the edge of a plate strip comprises:

[0008] Based on the wave shape occurrence position, along the direction from the transmission side to the operating side, the roll shape of the working roll is divided into the transmission side edge area, the transmission side rib area, the middle area, the operating side rib area and the operating side edge area in sequence; wherein, the transmission side edge area covers the plate strip transmission side wave occurrence position, the middle area covers the plate strip middle wave occurrence position, and the operating side edge area covers the plate strip operating side wave occurrence position;

[0009] Based on the location and size of the wave shape, the correction height and correction width of the corresponding location are determined, and the roller curves of the transmission side edge area, the transmission side rib area, the middle area, the operating side rib area and the operating side edge area are designed respectively to reduce the contact pressure at the location where the wave shape occurs and eliminate the wave shape of the plate strip;

[0010] The roller curves of the transmission side edge area, the transmission side rib area, the middle area, the operating side rib area and the operating side edge area are smoothly connected in sequence to obtain the working roll diameter roller curve of the entire roll body.

[0011] Furthermore, the design process of the roller curve of the transmission side edge region includes:

[0012] Based on the size and position of the side waves of the plate-belt transmission, determine the roller shape correction width at the side edge of the plate-belt transmission and the roller shape correction height at the side edge of the plate-belt transmission;

[0013] Based on the determined roller profile correction width and roller profile correction height of the strip transmission side edge, the roller profile curve of the transmission side edge is designed. The expression is:

[0014]

[0015] Among them, y DS_edge It represents the vertical coordinate of the working roll shape in the transmission side edge area; x represents the horizontal coordinate of the working roll with the midpoint of the working roll as the origin; l represents half of the length of the working roll body; x2 represents the horizontal coordinate of the intersection of the transmission side edge area and the transmission side rib area of ​​the working roll, and x2 is determined according to the position where the side wave of the plate and strip transmission occurs; a1, b1, c1 represent the coefficients of the quadratic curve of the transmission side edge area;

[0016] According to the requirements of curve continuity and smoothness, the roller curve in the transmission side edge area meets the following conditions:

[0017] The roll curve of the transmission side edge area and the original secondary roll curve of the working roll have a common intersection point P;

[0018] The difference between the abscissa x1 of the end position on the belt drive side and the abscissa x2 of P is equal to w1;

[0019] The roll curve of the transmission side edge area is equal to the derivative of the original secondary roll curve of the working roll at P;

[0020] The difference between the ordinate value of the roll curve of the transmission side edge area at x1 and the ordinate value of the original secondary roll curve of the working roll at x1 is equal to h1;

[0021] The expression of the original secondary roll shape curve of the working roll is:

[0022]

[0023] Among them, y old is the ordinate of the original secondary roll shape curve of the working roll; k is the roll shape height of the working roll with the maximum diameter;

[0024] The set of equations to be solved for a1, b1, and c1 is:

[0025]

[0026] Among them, w1 represents the roller shape correction width at the side edge of the plate and belt transmission; h1 represents the roller shape correction height at the side edge of the plate and belt transmission.

[0027] Furthermore, the roller curve of the transmission side rib region is expressed as:

[0028]

[0029] Among them, y DS_rib x represents the ordinate of the working roll shape of the transmission side rib area; x3 represents the abscissa of the intersection of the transmission side rib area and the middle area.

[0030] Furthermore, the design process of the roller curve of the middle area includes:

[0031] Based on the location and size of the wave in the strip, determine the roll correction width at the middle position of one side of the strip and the roll correction height at the middle position of the strip;

[0032] Based on the determined roll correction width at the middle position of one side of the strip and the roll correction height at the middle position of the strip, the roll curve in the middle area is designed, and the expression is:

[0033]

[0034] Among them, y middle represents the ordinate of the working roll shape in the middle area; x5 represents the abscissa of the intersection of the middle area and the operating side rib area; a2, b2, c2 represent the coefficients of the quartic curve in the middle area;

[0035] According to the requirements of curve continuity and smoothness, the roller curve in the middle area meets the following conditions:

[0036] The roller curve in the middle area and the roller curve in the transmission side rib area have a common intersection point Q1;

[0037] The difference between x3 and the horizontal coordinate x4 of the center line of the work roll body is equal to w2;

[0038] The derivatives of the roller curve in the middle area and the roller curve in the rib area on the transmission side at Q1 are equal;

[0039] The difference between the ordinate value of the roll shape curve in the middle area at x4 and the ordinate value of the original secondary roll shape curve of the working roll at x4 is equal to h2;

[0040] The equations to be solved for a2, b2, and c2 are:

[0041]

[0042] Among them, w2 represents the roller shape correction width at the middle position of one side of the plate and strip; h2 represents the roller shape correction height at the middle position of the plate and strip.

[0043] Furthermore, the roller curve of the operating side rib region is expressed as:

[0044]

[0045] Among them, y OS_rib x represents the ordinate of the working roll shape of the operating side roll rib area; x6 represents the abscissa of the intersection of the operating side rib area and the operating side edge area.

[0046] Furthermore, the design process of the roller curve of the operating side edge region includes:

[0047] Based on the size and position of the side wave of the strip operation, determine the roll shape correction width of the strip operation side edge and the roll shape correction height of the strip operation side edge;

[0048] Based on the determined roller profile correction width and roller profile correction height of the operating side edge of the strip, the roller profile curve of the operating side edge is designed, and the expression is:

[0049]

[0050] Among them, y OS_dge The ordinate of the roll shape of the working roll in the operating side edge area is represented; a3, b3, c3 represent the coefficients of the quadratic curve in the operating side edge area;

[0051] According to the requirements of curve continuity and smoothness, the roller curve in the operating side area meets the following conditions:

[0052] The roll curve of the operating side edge area and the original secondary roll curve of the working roll have a common intersection point N;

[0053] The difference between the horizontal coordinates x7 and x6 of the end position of the strip operating side is equal to w3;

[0054] The roll curve of the operating side edge area is equal to the derivative of the original secondary roll curve of the working roll at N;

[0055] The difference between the ordinate value of the roll shape curve of the operating side edge area at x7 and the ordinate value of the original secondary roll shape curve of the working roll at x7 is equal to h3;

[0056] The corresponding equations for a3, b3, and c3 are:

[0057]

[0058] Among them, w3 represents the roller shape correction width at the operating side edge of the strip; h3 represents the roller shape correction height at the operating side edge of the strip.

[0059] Furthermore, the expression of the working roll diameter roll shape curve of the full roll body is:

[0060]

[0061] Wherein, y(x) represents the ordinate of the roll shape curve of the working roll diameter of the full roll body.

[0062] On the other hand, the present invention further provides an electronic device, comprising a processor and a memory; wherein the memory stores at least one instruction, and the instruction is loaded and executed by the processor to implement the above method.

[0063] In yet another aspect, the present invention further provides a computer-readable storage medium, wherein the storage medium stores at least one instruction, and the instruction is loaded and executed by a processor to implement the above method.

[0064] The beneficial effects brought about by the technical solution provided by the present invention include at least:

[0065] The working roll profile design method provided by the present invention controls the working roll profile value of the area where the compound wave defect in the edge occurs by adjusting parameters to change the amount of reduction at the corresponding position, thereby achieving the purpose of eliminating the compound wave in the edge. After the roll profile design is completed, it can be ground on a grinder in a discrete point manner. Therefore, the scheme of the present invention is highly feasible and low-cost to implement on a rolling mill. Practice has proved that the working roll profile that eliminates the compound wave defect in the edge obtained by the scheme of the present invention can significantly improve the compound wave problem in the edge of the plate and strip. BRIEF DESCRIPTION OF THE DRAWINGS

[0066] In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the following briefly introduces the drawings required for use in the description of the embodiments. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without creative work.

[0067] Figure 1 It is a schematic diagram of the geometric segmentation of the full roller body provided by the present invention;

[0068] Figure 2 It is a fitting diagram for grinding on a grinding machine after the roll shape design of the working roll provided by the present invention is completed. DETAILED DESCRIPTION

[0069] In order to make the objectives, technical solutions and advantages of the present invention more clear, the embodiments of the present invention will be further described in detail below with reference to the accompanying drawings.

[0070] First embodiment

[0071] In order to achieve precise control of the compound wave defects in the edge of the strip appearing at the outlet of finishing rolling, and eliminate the compound wave defects in the edge of the strip during hot rolling, this embodiment provides a working roll shape design method for eliminating the compound waves in the edge of the strip. This method uses the principle of segmented superposition to design a new roll shape curve, so as to reduce the amount of compression deformation at the position where the edge and middle waves of the strip occur, reduce the contact pressure at the corresponding position, and thus eliminate the compound wave defects in the edge. Solve the problem of compound wave defects in the edge of the strip caused by high contact pressure between the edge and middle of the strip. Specifically, the execution process of this method includes the following steps:

[0072] S1, based on the wave shape occurrence position, along the direction from the transmission side to the operating side, the roll shape of the working roll is divided into the transmission side edge area, the transmission side rib area, the middle area, the operating side rib area and the operating side edge area in sequence; wherein the transmission side edge area covers the plate strip transmission side wave occurrence position, the middle area covers the plate strip middle wave occurrence position, and the operating side edge area covers the plate strip operating side wave occurrence position;

[0073] S2, based on the location and size of the wave shape, determine the correction height and correction width of the corresponding location, and design the roller curves of the transmission side edge area, the transmission side rib area, the middle area, the operating side rib area and the operating side edge area respectively to reduce the contact pressure at the location where the wave shape occurs and eliminate the wave shape of the plate strip;

[0074] It should be noted that the roll shape of the working roll in this embodiment is symmetrical about the center line of the working roll body. Here, this embodiment is based on the traditional quadratic curve roll shape, and designs a new roll shape by reasonably allocating the roll shape compensation amount at each position. The roll shape curve of the edge area of ​​the working roll adopts a quadratic curve, the roll shape curve of the rib area adopts a quadratic curve of the traditional roll shape, and the roll shape curve of the middle area adopts a quartic curve. The curves of each area can be smoothly connected, so the full roll shape of the working roll body is composed of a piecewise function.

[0075] Specifically, the design process of the roller curve corresponding to each area is as follows:

[0076] S21, designing a traditional secondary roll curve according to the preset working roll diameter and roll height; specifically, if the preset working roll maximum diameter and roll height is k, the curve equation of the working roll is as follows:

[0077]

[0078] Among them, y old It represents the ordinate of the traditional working roll diameter roll curve of the entire roll body; l represents half of the length of the working roll body, in mm; x represents the lateral coordinate of the working roll with the midpoint of the working roll as the origin, in mm; k represents the quadratic term coefficient of the traditional quadratic curve, and its value is equal to the maximum diameter roll height of the quadratic curve within the range of the entire roll body, which can be formulated according to the needs of controlling the secondary convexity and flatness of the plate and strip.

[0079] S22, design the roller curve of the transmission side edge area, including:

[0080] S221, based on the size and position of the edge wave on the belt transmission side (left side), determine the roller shape correction width at the edge position of the belt transmission side and the roller shape correction height at the edge position of the belt transmission side;

[0081] S222, based on the determined roller profile correction width and roller profile correction height of the strip transmission side edge, the roller profile curve of the transmission side edge is designed, and the expression is:

[0082]

[0083] Among them, y DS_edge It represents the ordinate of the working roll shape in the transmission side edge area; x represents the transverse coordinate of the working roll with the midpoint of the working roll as the origin; l represents half of the length of the working roll body; x2 represents the abscissa of the intersection of the transmission side edge area and the transmission side rib area of ​​the working roll, which is also the starting point for effective correction of the left side wave of the plate and strip, and can be determined according to the position of the transmission side wave of the plate and strip; a1, b1, c1 represent the coefficients of the quadratic curve of the transmission side edge area;

[0084] According to the requirements of curve continuity and smoothness, the roller curve in the transmission side edge area meets the following conditions:

[0085] 1) Curve y DS_edge With curve y old There is a common intersection point P(x2,y2);

[0086] 2) The difference between the horizontal coordinate x1 of the end position on the belt transmission side and the horizontal coordinate x2 of P is equal to w1;

[0087] 3) Curve y DS_edge With curve y old The derivatives at P are equal;

[0088] 4) Curve y DS_edge The ordinate value y at x1 DS_edge (x1) and curve y old The ordinate value y at x1 old The difference between (x1) is equal to h1;

[0089] The equations corresponding to a1, b1, c1 are:

[0090]

[0091] Among them, w1 represents the roller shape correction width at the side edge of the plate and belt transmission; h1 represents the roller shape correction height at the side edge of the plate and belt transmission; it can be determined according to the size and position of the edge wave. Its function is to reduce the downward deformation at the edge wave position, reduce the contact pressure at the corresponding position, and thus eliminate the edge wave defects.

[0092] S23, designing a roller curve of the transmission side rib region; wherein the roller curve of the transmission side rib region is consistent with the above-mentioned traditional roller curve, and the curve equation is expressed as follows:

[0093]

[0094] Among them, y DS_rib It represents the ordinate of the working roll shape of the rib area on the transmission side; x3 represents the abscissa of the intersection of the rib area on the transmission side and the middle area, which is also the starting point for effective correction of the mid-wave of the plate and strip, and can be determined according to the location where the mid-wave of the plate and strip occurs.

[0095] S24, design of the roll curve in the middle area, including:

[0096] S241, based on the location and size of the wave in the strip, determining the roll correction width at the middle position of one side of the strip and the roll correction height at the middle position of the strip;

[0097] S242, based on the determined roll profile correction width at the middle position of one side of the strip and the roll profile correction height at the middle position of the strip, the roll profile curve of the middle area is designed, and the expression is:

[0098]

[0099] Among them, y middle represents the ordinate of the working roll shape in the middle area; x5 represents the abscissa of the intersection of the middle area and the rib area on the operating side, which is also the end point of the effective correction of the middle wave of the plate strip, which can be determined according to the location of the middle wave. Since the roll shape curve is symmetrical about x=0, x5=-x3; a2, b2, c2 represent the coefficients of the quartic curve in the middle area;

[0100] According to the requirements of curve continuity and smoothness, the roller curve in the middle area meets the following conditions:

[0101] 1) Curve y middle With curve y DS_rib There is a common intersection point Q1(x3,y3);

[0102] 2) The difference between x3 and the horizontal coordinate x4 of the center line of the work roll body is equal to w2;

[0103] 3) Curve y middle With curve y DS_rib The derivatives at Q1 are equal;

[0104] 4) Curve y middle The ordinate value y at x4 middle (x4) and curve y old The ordinate value y at x4 old The difference between (x4) is equal to h2;

[0105] The equations corresponding to a2, b2, and c2 are:

[0106]

[0107] Among them, w2 represents the roller shape correction width at the middle position of one side of the plate strip; h2 represents the roller shape correction height at the middle position of the plate strip; it can be determined according to the size and position of the middle wave. Its function is to reduce the amount of downward deformation at the middle wave position of the plate strip, reduce the contact pressure at the corresponding position, and thus eliminate the middle wave defect.

[0108] S25, designing a roller curve of the operating side rib area; wherein the roller curve of the operating side rib area is consistent with the above-mentioned traditional roller curve, and the curve equation is expressed as follows:

[0109]

[0110] Among them, y OS_rib It represents the ordinate of the working roll shape of the operating side roll rib area; x6 represents the abscissa of the intersection Q2 of the operating side rib area and the operating side edge area, which is also the starting point for effective correction of the right side wave of the plate and strip, and can be determined according to the position of the right side wave of the plate and strip.

[0111] S26, design and operate the roller curve of the side area, including:

[0112] S261, based on the size and position of the edge wave on the operating side (right side) of the strip, determine the roll shape correction width at the edge position of the operating side of the strip and the roll shape correction height at the edge position of the operating side of the strip;

[0113] S262, based on the determined roll profile correction width and roll profile correction height of the strip operating side edge, a roll profile curve of the operating side edge is designed, and the expression is:

[0114]

[0115] Among them, y OS_dge The ordinate of the roll shape of the working roll in the operating side edge area is represented; a3, b3, c3 represent the coefficients of the quadratic curve in the operating side edge area;

[0116] According to the requirements of curve continuity and smoothness, the roller curve in the operating side area meets the following conditions:

[0117] 1) Curve y OS_dge With curve y old There is a common intersection point N(x6,y6);

[0118] 2) The difference between the horizontal coordinates x7 and x6 of the end position of the strip operating side is equal to w3;

[0119] 3) Curve y OS_dge With curve y old The derivatives at N are equal;

[0120] 4) Curve y OS_dge The ordinate value y at x7 OS_edge (x7) and curve y old The difference y between the ordinate values ​​at x7 old (x7) is equal to h3;

[0121] The corresponding equations for a3, b3, and c3 are:

[0122]

[0123] Among them, w3 represents the roller shape correction width at the operating side edge of the plate and strip; h3 represents the roller shape correction height at the operating side edge of the plate and strip; it can be determined according to the size and position of the edge wave. Its function is to reduce the downward deformation at the edge wave position, reduce the contact pressure at the corresponding position, and thus eliminate the edge wave defects.

[0124] S3, smoothly connecting the roller profile curves of the transmission side edge region, the transmission side rib region, the middle region, the operating side rib region and the operating side edge region in sequence to obtain the working roll diameter roller profile curve of the entire roll body.

[0125] Specifically, based on the above, the expression of the working roll diameter roll curve of the full roll body can be obtained as follows:

[0126]

[0127] Wherein, y(x) represents the ordinate of the roll shape curve of the working roll diameter of the full roll body.

[0128] In summary, this embodiment provides a working roll shape design method for eliminating the composite waves in the edge of the plate and strip. According to the location and size of the wave shape, the working roll body curve is divided into the edge (transmission side) area, the rib (transmission side) area, the middle area, the rib (operation side) area and the edge (operation side) area. The edge correction height and edge correction width are given by the location and size of the edge wave, and the quadratic curve of the edge area is designed based on the boundary position of the plate and strip, and the rib area maintains the original roll shape; then the single-side middle correction width and single-side middle correction height are given by the location and size of the middle wave, and the quartic curve of the middle area is designed based on the center line of the roll. Combined with the curve continuity and smooth connection conditions, the roll shape curve of the entire roll body is finally obtained. In this way, the amount of reduction at the corresponding position can be changed, thereby achieving the purpose of eliminating the composite waves in the edge.

[0129] Second embodiment

[0130] This embodiment uses a practical application example to further illustrate the effect of the working roll profile design method for eliminating the composite waves in the edge of the plate strip provided by the present invention, and the implementation process is as follows:

[0131] In a certain factory's 1450mm hot rolling production line, the rolling products are mainly 1250mm wide, the work roll body length is 1700mm, and the downstream F7 stand adopts a conventional parabolic work roll profile. In the middle and later stages of rolling, the rolled strips have edge and middle compound waves. In order to improve the edge and middle compound wave problem during the strip rolling process, the corresponding work roll profile curve is designed according to the method of the present invention. The specific design process is as follows:

[0132] First, according to the convexity and flatness requirements of the product outline at the production site, the maximum diameter roll height of the F7 frame working roll is 0.22mm, that is, k=0.22. The half of the roll length l=850 can be determined from the roll length and the strip width. The horizontal coordinate x1 corresponding to the left end of the strip is -632.5, and the horizontal coordinate x7 corresponding to the right end of the strip is 632.5.

[0133] Then the quadratic curve equation of the traditional roll shape of the working roll is expressed as:

[0134]

[0135] Among them, y old The ordinate of the roll shape curve of the traditional working roll diameter of the full roll body;

[0136] Furthermore, based on the position and size of the left side wave of the plate strip, a quadratic curve of the transmission side edge region is designed. Specifically, the expression of the quadratic curve of the transmission side edge region is:

[0137]

[0138] Among them, y DS_edge is the ordinate of the working roll shape in the transmission side edge area; x2 is the abscissa of the intersection of the transmission side edge area and the transmission side rib area of ​​the working roll, which can be determined according to the position of the left side wave of the plate strip; a1, b1, c1 are the coefficients of the quadratic curve in the transmission side edge area, and according to the requirements of curve continuity and smoothness, the following conditions are met:

[0139] 1) Curve y DS_edge With curve y old There is a common intersection point P(x2,y2);

[0140] 2) The difference between the left end position x1 of the plate and the horizontal coordinate x2 of the intersection point P is w1;

[0141] 3) Curve y DS_edge With curve y old The derivatives at the intersection point P are equal;

[0142] 4) Curve y DS_edge The ordinate value y at x1 DS_edge (x1) and curve y old The ordinate value y at x1 old The difference between (x1) and (x2) is equal to h1.

[0143] The corresponding system of equations is:

[0144]

[0145] Among them, x1 is the horizontal coordinate corresponding to the left end of the plate strip; w1 is the roller shape correction width at the left edge of the plate strip; h1 is the roller shape correction height at the left edge of the plate strip, which can be determined according to the size and position of the edge wave. Its function is to reduce the depression deformation at the edge wave position, reduce the contact pressure at the corresponding position, and thus eliminate the edge wave defect.

[0146] According to the measured cross-sectional profile of the rolled strip on site, the roller shape correction width w1=150mm at the left edge of the strip is taken according to the position and size of the left edge wave of the strip, that is, x2=482.5, and the correction height h1=0.016mm.

[0147] Solving the above equations yields:

[0148] a1=-0.2937, b1=-0.5833, c1=-0.1655.

[0149] Furthermore, the designed quadratic curve of the transmission side rib area is consistent with the quadratic curve of the traditional roller shape, and the curve equation is expressed as follows:

[0150]

[0151] Among them, y DS_rib x is the ordinate of the roll shape of the rib area on the driving side of the working roll; x3 is the abscissa of the intersection of the rib area on the driving side and the middle area.

[0152] Furthermore, based on the location and size of the wave in the plate strip, the quartic curve in the middle area is designed. Specifically, the expression of the quartic curve in the middle area is as follows:

[0153]

[0154] Among them, y middle is the ordinate of the roll shape in the middle area of ​​the working roll, and x3 can be determined according to the position of the wave in the plate strip; x5 is the abscissa of the intersection of the middle area and the rib area on the operating side. Since the roll shape curve is symmetrical about x=0, x5=-x3; a2, b2, c2 are the coefficients of the quartic curve in the middle area of ​​the working roll. According to the requirements of curve continuity and smoothness, the following conditions are met:

[0155] 1) Curve y middle With curve y DS_rib There is a common intersection point Q1(x3,y3);

[0156] 2) The difference between the horizontal coordinates x3 and x4 of the intersection point Q1 is w2;

[0157] 3) Curve y middle With curve y DS_rib The derivatives at the intersection point Q1 are equal;

[0158] 4) Curve y middle The ordinate value y at x4 middle (x4) and curve y old The ordinate value y at x4 old The difference of (x4) is equal to h2.

[0159] The corresponding system of equations is:

[0160]

[0161] Among them, x4 is the horizontal coordinate of the center line of the roller curve; w2 is the roller correction width at the middle position of one side of the plate strip; h2 is the roller correction height at the middle position of the plate strip, which can be determined according to the size and position of the middle wave. Its function is to reduce the amount of downward deformation at the middle wave position of the plate strip, reduce the contact pressure at the corresponding position, and thus eliminate the middle wave defect.

[0162] According to the measured cross-sectional profile of the rolled strip on site, the roller shape correction width w2=400mm in the middle of one side of the strip is taken according to the position and size of the waves in the strip, that is, x3=-400, x4=0, x5=400, and the correction height h2=0.008mm.

[0163] Solving the above equations yields:

[0164] a2=0.2922, b2=0.1631, c2=-0.008.

[0165] Furthermore, the designed quadratic curve of the operating side rib area is consistent with the quadratic curve of the traditional roller shape, and the curve equation is expressed as follows:

[0166]

[0167] Among them, y OS_rib x is the ordinate of the roll shape of the rib area on the operating side of the working roll; x6 is the abscissa of the intersection N of the rib area on the operating side and the edge area on the operating side.

[0168] Furthermore, based on the location and size of the wave on the right side of the plate, a quadratic curve of the operating side area is designed, and the expression is:

[0169]

[0170] Among them, y DS_edge is the ordinate of the working roll shape in the operating side edge area; x6 is the abscissa of the intersection of the working roll operating side edge area and the operating side rib area, which can be determined according to the location of the edge wave on the right side of the plate; a3, b3, c3 are the coefficients of the quadratic curve in the operating side edge area, and according to the requirements of curve continuity and smoothness, the following conditions are met:

[0171] 1) Curve y OS_edge With curve y old There is a common intersection point N(x6,y6);

[0172] 2) The difference between the right end position x7 of the strip and the horizontal coordinate x6 of the intersection point N is w3;

[0173] 3) Curve y OS_edge With curve y old The derivatives at the intersection point N are equal;

[0174] 4) Curve y OS_edge The ordinate value y at x7 OS_edge (x7) and curve y old The ordinate value y at x7 old The difference of (x7) is equal to h3.

[0175] The corresponding system of equations is:

[0176]

[0177] Among them, x7 is the horizontal coordinate corresponding to the right end of the plate strip; w3 is the roller shape correction width at the right edge of the plate strip; h3 is the roller shape correction height at the right edge of the plate strip, which can be determined according to the size and position of the edge wave. Its function is to reduce the downward deformation at the edge wave position, reduce the contact pressure at the corresponding position, and thus eliminate the edge wave defect.

[0178] According to the measured cross-sectional profile of the rolled strip on site, the roller shape correction width w3=150mm at the right edge of the strip is taken according to the position and size of the edge wave on the right side of the strip, that is, x6=482.5, and the correction height h3=0.016mm.

[0179] Solving the above equations yields:

[0180] a3=-0.2937, b3=0.5833, c3=-0.1655.

[0181] At this point, the work roll shape design is completed, and the segmented schematic diagram of the full roll body roll shape is as follows: Figure 1 shown.

[0182] Finally, the roll profile of the entire roll body is expressed as follows:

[0183]

[0184] Submit the discrete point data of the roll shape curve to the grinder. After the work roll shape is designed, the fitting diagram for grinding on the grinder is as follows: Figure 2 As shown in the figure, after grinding on the machine and applied to the production site, the composite wave in the edge of the plate and strip at the outlet of the finishing rolling disappears. It can be seen that the roller shape designed by the present invention has a very effective effect on improving the flatness of the plate and strip.

[0185] Third embodiment

[0186] This embodiment provides an electronic device, which includes a processor and a memory; wherein the memory stores at least one instruction, and the instruction is loaded and executed by the processor to implement the method of the above embodiment.

[0187] The electronic device may have relatively large differences due to different configurations or performances, and may include one or more processors (central processing units, CPU) and one or more memories, wherein the memory stores at least one instruction, and the instruction is loaded by the processor to execute the above method.

[0188] Fourth embodiment

[0189] This embodiment provides a computer-readable storage medium, which stores at least one instruction, and the instruction is loaded and executed by a processor to implement the method of the above embodiment. The computer-readable storage medium can be a ROM, a random access memory, a CD-ROM, a magnetic tape, a floppy disk, and an optical data storage device. The instructions stored therein can be loaded by a processor in a terminal to execute the above method.

[0190] In addition, it should be noted that the present invention can be provided as a method, an apparatus or a computer program product. Therefore, the embodiments of the present invention can take the form of a complete hardware embodiment, a complete software embodiment or an embodiment combining software and hardware. Moreover, the embodiments of the present invention can take the form of a computer program product implemented on one or more computer-usable storage media containing computer-usable program code.

[0191] The embodiments of the present invention are described with reference to the flowcharts and / or block diagrams of the methods, terminal devices (systems), and computer program products according to the embodiments of the present invention. It should be understood that each process and / or block in the flowchart and / or block diagram, as well as the combination of the processes and / or blocks in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, an embedded processor, or other programmable data processing terminal device to generate a machine, so that the instructions executed by the processor of the computer or other programmable data processing terminal device generate instructions for implementing the processes in the flowchart and / or block diagram. Figure 1 A process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.

[0192] These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing terminal device to operate in a specific manner, so that the instructions stored in the computer-readable memory produce a manufactured product including an instruction device, which implements the process Figure 1 A process or multiple processes and / or boxes Figure 1 These computer program instructions can also be loaded onto a computer or other programmable data processing terminal device, so that a series of operation steps are executed on the computer or other programmable terminal device to produce a computer-implemented process, so that the instructions executed on the computer or other programmable terminal device provide for implementing the process in the process. Figure 1 A process or multiple processes and / or boxes Figure 1 The steps for the functions specified in one or more boxes.

[0193] It should also be noted that, in this article, the terms "include", "comprises" or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, method, article or terminal device including a series of elements includes not only those elements, but also includes other elements not explicitly listed, or also includes elements inherent to such process, method, article or terminal device. In the absence of further restrictions, the elements defined by the sentence "comprises a ..." do not exclude the existence of other identical elements in the process, method, article or terminal device including the elements.

[0194] Finally, it should be noted that the above is a preferred embodiment of the present invention. It should be pointed out that although the preferred embodiment of the present invention has been described, for those skilled in the art, once the basic creative concept of the present invention is known, several improvements and modifications can be made without departing from the principles of the present invention, and these improvements and modifications should also be regarded as the protection scope of the present invention. Therefore, the attached claims are intended to be interpreted as including the preferred embodiment and all changes and modifications that fall within the scope of the embodiments of the present invention.

Claims

1. A working roll profile design method for eliminating compound waves in the edge of a plate strip, characterized in that: include: Based on the wave shape occurrence position, along the direction from the transmission side to the operating side, the roll shape of the working roll is divided into the transmission side edge area, the transmission side rib area, the middle area, the operating side rib area and the operating side edge area in sequence; wherein, the transmission side edge area covers the plate strip transmission side wave occurrence position, the middle area covers the plate strip middle wave occurrence position, and the operating side edge area covers the plate strip operating side wave occurrence position; Based on the location and size of the wave shape, the correction height and correction width of the corresponding location are determined, and the roller curves of the transmission side edge area, the transmission side rib area, the middle area, the operating side rib area and the operating side edge area are designed respectively to reduce the contact pressure at the location where the wave shape occurs and eliminate the wave shape of the plate strip; The roller profile curves of the transmission side edge area, the transmission side rib area, the middle area, the operating side rib area and the operating side edge area are smoothly connected in sequence to obtain the working roll diameter roller profile curve of the entire roll body; The design process of the roller curve of the transmission side edge area includes: Based on the size and position of the side waves of the plate-belt transmission, determine the roller shape correction width at the side edge of the plate-belt transmission and the roller shape correction height at the side edge of the plate-belt transmission; Based on the determined roller profile correction width and roller profile correction height of the strip transmission side edge, the roller profile curve of the transmission side edge is designed. The expression is: Among them, y DS_edge It represents the ordinate of the working roll shape in the transmission side edge area; x represents the transverse coordinate of the working roll with the midpoint of the working roll as the origin; l represents half of the length of the working roll body; x2 represents the abscissa of the intersection of the transmission side edge area and the transmission side rib area of ​​the working roll, and x2 is determined according to the position where the side wave of the plate and strip transmission occurs; a1, b1, c1 represent the coefficients of the quadratic curve of the transmission side edge area; According to the requirements of curve continuity and smoothness, the roller curve in the transmission side edge area meets the following conditions: The roll curve of the transmission side edge area and the original secondary roll curve of the working roll have a common intersection point P; The difference between the abscissa x1 of the end position on the belt drive side and the abscissa x2 of P is equal to w1; The roll curve of the transmission side edge area is equal to the derivative of the original secondary roll curve of the working roll at P; The difference between the ordinate value of the roll curve of the transmission side edge area at x1 and the ordinate value of the original secondary roll curve of the working roll at x1 is equal to h1; The expression of the original secondary roll shape curve of the working roll is: Among them, y old is the ordinate of the original secondary roll shape curve of the working roll; k is the roll shape height of the working roll with the maximum diameter; The set of equations to be solved for a1, b1, and c1 is: Among them, w1 represents the roller shape correction width at the side edge of the plate and belt transmission; h1 represents the roller shape correction height at the side edge of the plate and belt transmission.

2. The working roll profile design method for eliminating compound waves in the edge of a plate strip as claimed in claim 1 is characterized in that: The expression of the roller curve of the transmission side rib area is: Among them, y DS_rib x represents the ordinate of the working roll shape of the transmission side rib area; x3 represents the abscissa of the intersection of the transmission side rib area and the middle area.

3. The working roll profile design method for eliminating compound waves in the edge of a plate strip as claimed in claim 2 is characterized in that: The design process of the roll curve of the middle area includes: Based on the location and size of the wave in the strip, determine the roll correction width at the middle position of one side of the strip and the roll correction height at the middle position of the strip; Based on the determined roll correction width at the middle position of one side of the strip and the roll correction height at the middle position of the strip, the roll curve in the middle area is designed, and the expression is: Among them, y middle represents the ordinate of the working roll shape in the middle area; x5 represents the abscissa of the intersection of the middle area and the operating side rib area; a2, b2, c2 represent the coefficients of the quartic curve in the middle area; According to the requirements of curve continuity and smoothness, the roller curve in the middle area meets the following conditions: The roller curve in the middle area and the roller curve in the transmission side rib area have a common intersection point Q1; The difference between x3 and the horizontal coordinate x4 of the center line of the work roll body is equal to w2; The derivatives of the roller curve in the middle area and the roller curve in the rib area on the transmission side at Q1 are equal; The difference between the ordinate value of the roll shape curve in the middle area at x4 and the ordinate value of the original secondary roll shape curve of the working roll at x4 is equal to h2; The equations to be solved for a2, b2, and c2 are: Among them, w2 represents the roller shape correction width at the middle position of one side of the plate and strip; h2 represents the roller shape correction height at the middle position of the plate and strip.

4. The working roll shape design method for eliminating compound waves in the edge of a plate strip as claimed in claim 3 is characterized in that: The expression of the roller curve of the operating side rib area is: Among them, y OS_rib x represents the ordinate of the working roll shape of the operating side roll rib area; x6 represents the abscissa of the intersection of the operating side rib area and the operating side edge area.

5. The working roll profile design method for eliminating compound waves in the edge of a plate strip as claimed in claim 4 is characterized in that: The design process of the roller curve of the operating side edge area includes: Based on the size and position of the side wave of the strip operation, determine the roll shape correction width of the strip operation side edge and the roll shape correction height of the strip operation side edge; Based on the determined roller profile correction width and roller profile correction height of the operating side edge of the strip, the roller profile curve of the operating side edge is designed, and the expression is: Among them, y OS_dge The ordinate of the roll shape of the working roll in the operating side edge area is represented; a3, b3, c3 represent the coefficients of the quadratic curve in the operating side edge area; According to the requirements of curve continuity and smoothness, the roller curve in the operating side area meets the following conditions: The roll curve of the operating side edge area and the original secondary roll curve of the working roll have a common intersection point N; The difference between the horizontal coordinates x7 and x6 of the end position of the strip operating side is equal to w3; The roll curve of the operating side edge area is equal to the derivative of the original secondary roll curve of the working roll at N; The difference between the ordinate value of the roll shape curve of the operating side edge area at x7 and the ordinate value of the original secondary roll shape curve of the working roll at x7 is equal to h3; The corresponding equations for a3, b3, and c3 are: Among them, w3 represents the roller shape correction width at the operating side edge of the strip; h3 represents the roller shape correction height at the operating side edge of the strip.

6. The working roll profile design method for eliminating compound waves in the edge of a plate strip as claimed in claim 5 is characterized in that: The expression of the working roll diameter roll shape curve of the full roll body is: Wherein, y(x) represents the ordinate of the roll shape curve of the working roll diameter of the full roll body.

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