A modeling method and device for plate straightening process

Abstract

The present invention discloses a modeling method and device for a plate straightening process, which relates to the field of metal plate processing technology, in order to solve the problem in the prior art that the traditional analytical model does not fully describe the multi-roller straightening process. The method comprises: obtaining process information of the plate straightening process; the process information at least includes partition reference information and process parameter information; based on the partition reference information, the multi-roller straightening abstract model is divided into regions to obtain three types of regions; the three types of regions include an entrance region, an even-numbered formal region, and an odd-numbered formal region; determining a geometric relationship differential model of the plate straightening process for each of the three types of regions; based on the process parameter information, determining a multi-roller straightening analytical model corresponding to the geometric relationship differential model of the plate straightening process. The present invention is used to perform a more comprehensive analysis of the multi-roller straightening process using a multi-roller straightening analytical model constructed using three types of regions.

Description

Technical Field

[0001] The present invention relates to the technical field of metal plate processing, and in particular to a modeling method and device for a plate straightening process. Background Art

[0002] The straightening process can be used to flatten metal sheets, while reducing and optimizing the residual stress distribution in the sheet to facilitate subsequent further processing.

[0003] Analytical models based on various algorithms realize the theoretical description of the straightening process. Reasonable analytical modeling will be conducive to the online optimization control of process parameters and realize efficient straightening of plates.

[0004] However, the existing analytical model does not fully describe the multi-roller straightening process. Summary of the Invention

[0005] The object of the present invention is to provide a modeling method and device for a plate straightening process, so as to improve the comprehensiveness of the analysis of the multi-roller straightening process.

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

[0007] In a first aspect, the present invention provides a modeling method for a plate straightening process, comprising:

[0008] Acquire process information of the plate straightening process; the process information at least includes partition reference information and process parameter information;

[0009] Based on the partition reference information, the multi-roller straightening abstract model is divided into three types of areas; the three types of areas include the entrance area, the even-numbered formal area and the odd-numbered formal area;

[0010] Determine a differential model of geometrical relations of the plate straightening process in each of the three types of regions;

[0011] Based on the process parameter information, a multi-roller straightening analytical model corresponding to the geometric relationship differential model of the plate straightening process is determined.

[0012] Optionally, determining the geometric relationship differential model of the plate straightening process for each of the three types of regions includes: constructing the geometric relationship differential model of the plate straightening process for each of the three types of regions based on a curvature integral method;

[0013] The method of determining a multi-roller straightening analytical model corresponding to the geometric relationship differential model of the plate straightening process based on the process parameter information includes: based on the process parameter information, using an integral method to process the geometric relationship differential model of the plate straightening process for each type of area to obtain a multi-roller straightening analytical model for each type of area.

[0014] Optionally, the geometric relationship differential model of the plate straightening process in each of the three types of areas is constructed based on the curvature integral method, including:

[0015] Establish a Cartesian coordinate system in each type of area;

[0016] In the Cartesian coordinate system in each type of area, the sign of the target parameter is determined, and the curvature integral method is used to construct a differential equation system:

[0017] ;

[0018] The target parameters include the coordinate azimuth and curvature radius of each point. is the radius of curvature of each point on the plate curve; is the coordinate azimuth of each point on the plate curve; the coordinate azimuth is the acute angle between the tangent line of each point on the plate curve and the positive direction of the x-axis in the Cartesian rectangular coordinate system;

[0019] The differential equations are processed to obtain the geometric relationship differential model of the plate straightening process:

[0020] .

[0021] Optionally, determining the sign of the target parameter in a Cartesian coordinate system in each type of area includes:

[0022] The positive and negative signs of the coordinate azimuths of the points are determined according to the quadrant positions of the coordinate azimuths of the points in the Cartesian coordinate system; when the coordinate azimuths of the points are located in the first quadrant, the signs of the coordinate azimuths are positive; when the coordinate azimuths of the points are located in the fourth quadrant, the signs of the coordinate azimuths are determined to be negative.

[0023] Optionally, determining the sign of the target parameter includes:

[0024] The positive and negative signs of the curvature radii of each point are determined based on the positional relationship between the center of curvature corresponding to the curvature radii of each point and the plate curve; when the center of curvature is located above the plate curve, the signs of the curvature radii of each point are positive; when the center of curvature is located below the plate curve, the signs of the curvature radii of each point are determined to be negative.

[0025] Optionally, processing the differential equations includes:

[0026] Approximate conditions are used: and , simplify the differential equations.

[0027] Optionally, based on the process parameter information, the geometric relationship differential model of the plate straightening process in each type of area is processed by integration to obtain a multi-roller straightening analytical model for each type of area, which at least includes:

[0028] For each of the three types of regions, an integral calculation is performed on the geometric relationship differential model of the plate straightening process to obtain a first calculation result:

[0029] ;

[0030] in, is the curvature of each point on the plate curve, is the projection coordinate of each point on the plate curve in the x direction, and is the integration constant;

[0031] Based on the first calculation result, a multi-roller straightening analytical model for each of the three types of areas is determined.

[0032] Optionally, the process parameter information further includes a roller spacing between geometric centers of two adjacent straightening rollers on the x-axis, a spacing between edge points of two adjacent straightening rollers on the z-axis, a roller radius of each straightening roller, a boundary condition of a first set point, and a boundary condition of a second set point;

[0033] Determining the multi-roller straightening analytical model for each of the three types of areas based on the first calculation result includes:

[0034] For the inlet area, the boundary conditions of the first set point are substituted into the first calculation result to perform calculation, and the second calculation result is:

[0035] ;

[0036] Combined with the roller spacing between the geometric centers of the two straightening rollers in the entrance area on the x-axis, the spacing between the edge points of two adjacent straightening rollers in the entrance area on the z-axis, and the roller radius of the straightening rollers in the entrance area, the boundary conditions of the second set point are substituted into the second calculation result for calculation, and the third calculation result is obtained:

[0037] ;

[0038] Determining the third calculation result as the multi-roller straightening analytical model of the entrance area;

[0039] in, is the distance between two adjacent contact points on the first straightening roller and the second straightening roller in the x-axis direction; is the acute angle between the line connecting the contact point and the geometric center of the first straightening roller and the z-axis; is the acute angle between the line connecting the contact point and the geometric center of the second straightening roller and the z-axis; is the inner integration variable; is the roller radius of the straightening roller; is the roller spacing between the geometric center of the first straightening roller and the geometric center of the second straightening roller in the x-axis direction; It is the distance in the z-axis direction between the edge point of the upper and lower edge points of the first straightening roller close to the plate side and the edge point of the upper and lower edge points of the second straightening roller close to the plate side.

[0040] Optionally, determining the multi-roller straightening analytical model for each of the three types of areas based on the first calculation result includes:

[0041] For the even-numbered formal area or the odd-numbered formal area, the boundary condition of the first set point is substituted into the first calculation result to perform calculation, thereby obtaining a fourth calculation result:

[0042] ;

[0043] Combined with the roller spacing between the geometric centers of the two straightening rollers in the even formal area or the odd formal area on the x-axis, the spacing between the edge points of two adjacent straightening rollers in the even formal area or the odd formal area on the z-axis, and the roller radius of the straightening rollers in the even formal area or the odd formal area, the boundary conditions of the second set point are substituted into the fourth calculation result to perform a calculation, and a fifth calculation result is obtained:

[0044] ;

[0045] Determining the fifth calculation result as the multi-roller straightening analytical model of the even-numbered formal area or the odd-numbered formal area;

[0046] in, is the distance between two adjacent contact points on the i-th straightening roller and the i+1-th straightening roller in the x-axis direction; is the roller spacing between the geometric centers of the i-th straightening roller and the i+1-th straightening roller in the x-axis direction; is the acute angle between the line connecting the contact point and the geometric center of the i-th straightening roller and the z-axis; is the acute angle between the line connecting the contact point and the geometric center of the i+1th straightening roller and the z-axis; is the distance in the z-axis direction between the edge point of the upper and lower edges of the i-th straightening roller close to the plate and the edge point of the upper and lower edges of the i+1-th straightening roller close to the plate; is the roller radius of the straightening roller.

[0047] The beneficial effects of the present invention are as follows: Compared with the existing technology, the modeling method for the plate straightening process provided by the present invention changes the traditional two-zone division method. Based on the partition reference information in the process information, the abstract model of the multi-roller straightening process is divided into three types of areas: the entrance area, the even-numbered formal area, and the odd-numbered formal area. Based on the three-type area division, a multi-roller straightening analytical model is constructed for each of the three types of areas based on the process parameter information. The resulting multi-roller straightening analytical model can provide a more comprehensive description and analysis of the multi-roller straightening process.

[0048] In a second aspect, the present invention further provides a modeling device for a plate straightening process, comprising:

[0049] An acquisition module, configured to acquire process information of a plate straightening process; the process information at least includes partition reference information and process parameter information;

[0050] A partitioning module is used to divide the multi-roller straightening abstract model into three types of areas based on the partition reference information; the three types of areas include an entrance area, an even-numbered formal area, and an odd-numbered formal area;

[0051] A first determining module is used to determine a geometric relationship differential model of the plate straightening process in each of the three types of areas;

[0052] The second determination module is used to determine a multi-roller straightening analytical model corresponding to the geometric relationship differential model of the plate straightening process based on the process parameter information. BRIEF DESCRIPTION OF THE DRAWINGS

[0053] The drawings described herein are used to provide a further understanding of the present invention and constitute a part of the present invention. The exemplary embodiments of the present invention and their descriptions are used to explain the present invention and do not constitute an improper limitation of the present invention. In the drawings:

[0054] Figure 1 One of the flow charts of a modeling method for a plate straightening process provided by one embodiment of the present invention;

[0055] Figure 2 A schematic structural diagram of an abstract model of multi-roller straightening provided by one embodiment of the present invention;

[0056] Figure 3 A schematic diagram of the state of the multi-roller straightening abstract model provided by one embodiment of the present invention after being divided into three types of regions;

[0057] Figure 4 A second flow chart of a modeling method for a plate straightening process provided by an embodiment of the present invention;

[0058] Figure 5 A schematic diagram of coordinate azimuth provided for one embodiment of the present invention;

[0059] Figure 6 An analysis diagram of the plate straightening process in the entrance area provided for one embodiment of the present invention;

[0060] Figure 7 An analysis diagram of the plate straightening process in an odd-numbered formal zone provided for one embodiment of the present invention;

[0061] Figure 8 An analysis diagram of the plate straightening process in an even-numbered formal zone provided for one embodiment of the present invention;

[0062] Figure 9 A schematic structural diagram of a modeling device for a plate straightening process provided by one embodiment of the present invention. DETAILED DESCRIPTION

[0063] To facilitate a clear description of the technical solutions of the embodiments of the present invention, the words "first" and "second" are used in the embodiments of the present invention to distinguish between identical or similar items with substantially the same functions and effects. For example, the first threshold and the second threshold are merely used to distinguish between different thresholds and do not limit their order. Those skilled in the art will understand that the words "first" and "second" do not limit the quantity or execution order, and the words "first" and "second" do not necessarily mean different.

[0064] It should be noted that, in the present invention, words such as "exemplary" or "for example" are used to indicate examples, illustrations, or descriptions. Any embodiment or design described as "exemplary" or "for example" in the present invention should not be construed as being preferred or advantageous over other embodiments or designs. Rather, the use of words such as "exemplary" or "for example" is intended to present the relevant concepts in a concrete manner.

[0065] In the present invention, "at least one" means one or more, "more than one" means two or more, and "and / or" describes the association relationship between associated objects, indicating that three types of relationships can exist.

[0066] like Figure 1 As shown, the present invention provides a modeling method for a plate straightening process, which may include:

[0067] Step 100: Acquire process information of the plate straightening process; the process information at least includes partition reference information and process parameter information;

[0068] Process information refers to various information involved in the plate straightening process. In addition to the partition reference information and process parameter information, the process information can also include the multi-roller straightening abstract model, the number of each straightening roller in the multiple straightening rollers, and the contact point position between each straightening roller and the plate. The multi-roller straightening abstract model can be found in Figure 2 ,For example Figure 2 The numbering of each straightening roller can be sequentially numbered from left to right. This figure shows the straightening process of the plate in the multi-roller straightening equipment. Figure 2 The circles in the figure represent straightening rollers, and the plate passes between multiple sets of straightening rollers. 、 、 、 、 It represents the wrap angle at the contact point between the plate and each straightening roller (that is, the acute angle between the line connecting the contact point on the straightening roller and the geometric center of the roller and the z-axis), that is, the angle range covered by the plate when it contacts the straightening roller. The subscripts 1, 2, 3, 4 and 5 are the numbers of the straightening rollers.

[0069] Step 200: Based on the partition reference information, the multi-roller straightening abstract model is divided into three types of areas; the three types of areas include the entrance area, the even-numbered formal area and the odd-numbered formal area; see Figure 3 .

[0070] It should be noted that in all the drawings, the even-numbered formal areas are referred to as even-numbered areas, and the odd-numbered formal areas are referred to as odd-numbered areas.

[0071] For example, step 200 may specifically include:

[0072] All straightening rollers are numbered from left to right;

[0073] The plate curve between the first straightening roller and the second straightening roller is defined as the entrance area, with the positions of two adjacent contact points as the boundary; see Figure 3 shown.

[0074] Taking the positions of two adjacent contact points as the boundary, if the number of the straightening roller corresponding to the contact point closest to the entrance area is even, the plate curve between the two adjacent straightening rollers is determined as the even-numbered formal area; see Figure 3 shown.

[0075] Taking the positions of two adjacent contact points as the boundary, if the number of the straightening roller corresponding to the position of the contact point closest to the entrance area is odd, the plate curve between the two adjacent straightening rollers is determined as the odd formal area. Figure 3 shown.

[0076] Analysis of the beneficial effects of this embodiment: In the multi-roller straightening process, regional division is performed based on the different positions and states of the plate during the multi-roller straightening process. Specifically, the division is based on the relative position of the plate and the straightening rollers, as well as the deformation characteristics of the plate during the straightening process. Existing solutions use a two-zone division approach (only even-numbered and odd-numbered zones), but do not consider analytical modeling of the roller system entrance zone. This results in an incomplete and incomplete analytical model, which in turn leads to deficiencies in the overall analysis of the plate after the analytical model is established. Compared with the prior art, the modeling method for a plate straightening process provided by the present invention changes the roller system zoning strategy, dividing the straightening roller system into an entry zone and a final zone. The straightening rollers in the final zone are paired to form odd-numbered final zones and even-numbered final zones. The entry zone is the portion of the straightening roller system where the plate first enters the straightening roller system. The initial state of the plate in this area has a significant impact on the subsequent straightening process. The final zone is the portion of the straightening roller system remaining after the plate passes through the entry zone. The final zone is further divided into odd-numbered final zones and even-numbered final zones based on the parity of the roller numbers closest to the entry zone. Different final zones may exhibit some differences in the stress and deformation of the plate. This division facilitates a more detailed analysis and description of the plate's behavior throughout the straightening process. After the zoning is completed, a multi-roller straightening analytical model is constructed for each of the three zones based on the geometric relationship between the plate and the straightening rollers. This modified roller system zoning strategy provides a more complete analytical modeling of the straightening process, enabling a more comprehensive analysis of the plate straightening process using the multi-roller straightening analytical model.

[0077] Step 300: Determine a geometric relationship differential model of the plate straightening process for each of the three types of regions;

[0078] Step 300 specifically includes: constructing a geometric relationship differential model of the plate straightening process in each of the three types of regions based on the curvature integral method.

[0079] Step 400: Based on the process parameter information, determine a multi-roller straightening analytical model corresponding to the geometric relationship differential model of the plate straightening process.

[0080] Step 400 specifically includes: processing the geometric relationship differential model of the plate straightening process of each type of area by integration based on the process parameter information to obtain the multi-roller straightening analytical model of each type of area.

[0081] Analysis of the beneficial effects of this embodiment: From the above content, it can be seen that in this embodiment, when constructing the multi-roller straightening analytical model for each type of area, the curvature integral method is used as the modeling basis. This is because: First, the curvature integral method has good versatility for the straightening of plates in different types of areas. Regardless of the deformation stage or regional characteristics of the plate during the straightening process, the corresponding geometric relationship differential model can be constructed based on the curvature integral, and then the multi-roller straightening analytical model can be further obtained; second, in the plate straightening process, the curvature change is the core element. The curvature integral method is directly based on the curvature for modeling, which can accurately describe the bending deformation characteristics of the plate during straightening, and is more in line with the physical nature of straightening. In describing the process of the plate being gradually straightened from the initial bending state, the curvature integral method can intuitively display the deformation accumulation of the plate at different straightening stages through the integral operation of the curvature, and accurately present the change of the plate shape with the straightening process; third, it can closely combine the process parameter information to build a model. During the integration process, process parameters such as roller spacing and roller diameter can be incorporated into the calculation to accurately analyze the impact of these parameters on the straightening effect. For example, taking roller spacing as an example, the curvature integration method can clearly show how the change in roller spacing changes the curvature integration result of the plate, thereby affecting the final straightening accuracy, which helps to optimize the process parameter combination and improve the straightening quality.

[0082] For example Figure 4 As shown, step 300 may specifically include:

[0083] Step 311: Establish a Cartesian coordinate system in each type of area, whose origin is the left boundary point where the plate is tangent to the left straightening roller when in contact. The left boundary point is also the starting point of each type of area. It can be understood that the right boundary point where the plate is tangent to the right straightening roller when in contact is the end point of each type of area; the Cartesian coordinate system includes at least the horizontal x-axis and the vertical z-axis.

[0084] Step 312: In the Cartesian coordinate system in each type of region, determine the sign of the target parameter and construct a differential equation system using the curvature integral method:

[0085] (1)

[0086] Among them, the target parameters include coordinate azimuth and curvature radius, is the radius of curvature of each point on the plate curve; is the coordinate azimuth of each point on the plate curve (reflecting the inclination direction of the tangent line at a point on the plate curve relative to the positive direction of the x-axis); is a small change in the coordinate azimuth; the coordinate azimuth is the acute angle between the tangent line at each point on the plate curve and the positive x-axis in the Cartesian coordinate system, see Figure 5 shown. It is the small length change in the x-axis direction of the Cartesian coordinate system; It is a small change in length in the z-axis direction of the Cartesian coordinate system.

[0087] It is understood that the plate curve refers to the actual shape curve of the plate during the multi-roller straightening process in the Cartesian rectangular coordinate system (including the horizontal x-axis and the vertical z-axis), see Figure 2 and Figure 3 , the plate curve characterizes the relationship between the geometric characteristics of the plate and the geometric characteristics of the straightening roller.

[0088] In step 312, determining the sign of the target parameter in the Cartesian coordinate system in each type of area may specifically include:

[0089] 1) Determine the sign of the coordinate azimuth according to the quadrant position of the coordinate azimuth of each point in the Cartesian coordinate system; when the coordinate azimuth of each point is in the first quadrant, the sign of the coordinate azimuth is positive; when the coordinate azimuth of each point is in the fourth quadrant, the sign of the coordinate azimuth is determined to be negative.

[0090] It is understandable that the coordinate azimuth of each point will not be located in the second quadrant and the third quadrant in the setting of this embodiment, and the above solution has included all situations.

[0091] Analysis of the beneficial effects of this embodiment: The reason why the coordinate azimuth of each point (i.e., each point) is determined to have a positive or negative sign before constructing the differential equation group is because the definition of the coordinate azimuth of each point in the prior art includes both acute angles and obtuse angles. Since the positive or negative sign of the coordinate azimuth cannot always be determined, the model is more troublesome to actually calculate. In order to facilitate calculation, this application redefines the coordinate azimuth of each point during the model construction process, and determines the positive or negative sign of the coordinate azimuth in advance. This facilitates calculation during operation after the model is successfully constructed, thereby improving the model calculation efficiency and accuracy.

[0092] 2) Determine the sign of the radius of curvature of each point based on the positional relationship between the center of curvature corresponding to the radius of curvature of each point and the plate curve; when the center of curvature is above the plate curve, the sign of the radius of curvature of each point is positive; when the center of curvature is below the plate curve, the sign of the radius of curvature of each point is determined to be negative.

[0093] Analysis of the beneficial effects of this embodiment: It is understandable that determining the positive and negative signs of the curvature radius is the same as determining the positive and negative signs of the coordinate azimuth angle, which can also improve the model calculation efficiency and calculation accuracy.

[0094] The specific calculation process of step 1) may include:

[0095] Determine how the sheet curve is represented: Assume that the sheet curve is represented by a series of discrete points, stored in a list, for example, curve_points = [(x1, z1), (x2, z2), ..., (xn, zn)]. In order to calculate the tangent at a point, at least two adjacent points are required.

[0096] Calculate the tangent slope at a point: For a point on the plate curve, approximate the tangent slope using that point and its adjacent points. The tangent slope k can be calculated using the formula k = (z2 - z1) / (x2 - x1) (assuming x2 - x1 is not equal to 0).

[0097] Calculate the tangent angle from the slope: Use the inverse tangent function (atan) to calculate the angle (in radians) between the tangent and the positive x-axis. In Python, use the math.atan function. The resulting angle is in the range (-π / 2, π / 2), which corresponds to the angle range from the fourth quadrant to the first quadrant.

[0098] Determine the quadrant in which the tangent is located and determine its sign: Based on the calculated angle, determine whether the tangent is in the first or fourth quadrant, thereby determining the sign of the coordinate azimuth.

[0099] The specific calculation process of step 2) is as follows:

[0100] Determine how the sheet curve is represented: Assume that the sheet curve is represented by a series of discrete points, stored in a list, for example, curve_points = [(x1, z1), (x2, z2), ..., (xn, zn)]. In order to calculate the tangent at a point, at least three adjacent points are required.

[0101] Call the function calculate_curvature_center (this function is used to calculate the coordinates of the center of curvature of the arc formed by three given points) to calculate the center of curvature of the arc formed by three adjacent points. This function receives three points p1, p2, and p3 as parameters (three points p1, p2, and p3, each point is a two-tuple in the form of (x, z), representing the x-coordinate and z-coordinate of the point on the two-dimensional plane). Inside the function, the coordinates of the center of curvature are obtained by calculating the intersection of the perpendicular bisectors of the line segment formed by these three points. The specific calculation steps are: first, calculate the coordinates of the midpoint mid1 between p1 and p2 and the midpoint mid2 between p2 and p3; then, calculate the slopes slope1 and slope2 of the perpendicular bisectors of the line connecting p1 and p2 and the line connecting p2 and p3. When calculating the slope, the denominator is checked to see if it is zero to avoid division by zero errors. If the denominator is zero, set the slope to infinity. Finally, calculate the intersection of the two perpendicular bisectors, which is the coordinates (x, z) of the center of curvature, based on the situation. If the slope of one perpendicular bisector is infinite, calculate the coordinates of the intersection using the equation of the other perpendicular bisector. If the slopes of both perpendicular bisectors are not infinite, solve for the coordinates of the intersection by solving the equations of the two lines simultaneously.

[0102] Next, we call the determine_curvature_sign function (which determines the sign of the curvature radius at each point on the plate's curve) to implement the judgment logic. This function accepts a list of discrete points on the plate's curve, curve_points, as input. For each point except the first and last, it selects three adjacent points and calls the calculate_curvature_center function to calculate the center of curvature. Then, extract their ordinates from these three points and obtain the ordinate of the center of curvature. The specific implementation steps are: 1) Initialize an empty list signs to store the curvature radius signs of each point; 2) Traverse the curve_points list, except for the first and last points (because three adjacent points are required to calculate the curvature radius); 3) For each middle point, select its three adjacent points p1, p2 and p3, and call the calculate_curvature_center function to calculate the coordinates (center_x, center_z) of the center of curvature of the arc formed by these three points; 4) Get the z coordinates z1, z2 and z3 of these three points; 5) Compare the z coordinate center_z of the center of curvature with the size relationship between z1, z2 and z3: if center_z is greater than the maximum value of z1, z2 and z3, set the curvature radius sign to 1; if center_z is less than the minimum value of z1, z2 and z3, set the curvature radius sign to -1; if center_z is between z1, z2 and z3 , set the curvature radius sign to 0; 6) add the calculated curvature radius sign to the signs list; 7) after the traversal is completed, return the signs list.

[0103] The rationality of the determination of the sign of the target parameter in 1) and 2) can be verified through the following derivation process:

[0104] First, see Figure 6 , taking the entrance area as an example, verify the corrected angle Defining reasonableness involves the following steps:

[0105] ①The curvature radius of point A (any point on the curved plate in the entrance area) The center of the circle is below the curve, so is negative.

[0106] ②To point A and We investigate and find that there is a micro segment of the curve near this point. The acute angle between the tangent line of the curve and the positive direction of the x-axis increases with the slight change of the value. At the same time, it is in the fourth quadrant. is negative, and at the same time, is a negative acute angle, so Is positive.

[0107] ③To point A We can see that the x value of the curve segment near this point also has a small change, and the x value is increasing, so Is positive.

[0108] ④From the above steps, we can see that The signs on both sides of the equation are positive, and geometric relationships show that the absolute values ​​of both sides are equal. Therefore, this differential equation system holds at point A in the entrance section. This is also true for the remaining points in the section.

[0109] Second, taking the odd-numbered formal district as an example, see Figure 7 ( Figure 7 The odd-numbered formal area is referred to as the odd-numbered area in the middle school. Verify the corrected angle The rationality of the definition includes the following steps:

[0110] ⑤The radius of curvature at point A The center of the circle is below the curve, so is negative.

[0111] ⑥To point A and We investigate and find that there is a micro segment of the curve near this point. The acute angle between the tangent line of the curve and the positive direction of the x-axis is getting smaller, and it is in the first quadrant. is negative, and at the same time, is a positive acute angle, so Is positive.

[0112] ⑦To point A We can see that the x value of the curve segment near this point also has a small change, and the x value is increasing, so Is positive.

[0113] ⑧From the above steps, we can see that The signs on both sides of the equation are positive, and geometric relationships show that the absolute values ​​of both sides are equal. Therefore, this system of differential equations holds at point A in the odd-numbered formal region. This also holds true for the rest of the region.

[0114] Third, taking the even-numbered formal district as an example, see Figure 8 ( Figure 8 The even-numbered official area is referred to as the even-numbered area in the middle school) Verify the corrected angle The rationality of the definition includes the following steps:

[0115] ⑨The radius of curvature at point A The center of the circle is above the curve, so Is positive.

[0116] ⑩To point A and We investigate and find that there is a micro segment of the curve near this point. The acute angle between the tangent line of the curve and the positive direction of the x-axis is getting smaller, and it is in the fourth quadrant. is positive, and at the same time, is a negative acute angle, so Is positive.

[0117] To point A We can see that the x value of the curve segment near this point also has a small change, and the x value is increasing, so Is positive.

[0118] From the above steps, we can see that The signs on both sides of the equation are positive, and geometric relationships show that the absolute values ​​of both sides are equal. Therefore, this system of differential equations holds at point A in the even-numbered formal region. This also holds true for the rest of the region.

[0119] Step 313: Process the differential equations to obtain the geometric relationship differential model of the plate straightening process:

[0120] (2)

[0121] Specifically, step 313 is as follows: using the application approximate condition: and , the differential equations are simplified to obtain the geometric relationship differential model of the plate straightening process mentioned above.

[0122] As for the above approximate application conditions, they are based on the actual plate straightening process. is very small, so , .

[0123] After the geometric relationship differential model of the plate straightening process is successfully constructed, the next step is to process it based on integral calculation, that is, to proceed to step 400.

[0124] Step 400 may specifically include the first step and the second step:

[0125] Step 1: For each of the three types of areas, perform integral calculation on the geometric relationship differential model of the plate straightening process to obtain the first calculation result:

[0126] (3)

[0127] in, It is the coordinate azimuth of the plate curve at the x coordinate, that is, the acute angle between the tangent line at that point on the plate curve and the positive direction of the x axis. It is a function of x and changes with the x coordinate. is the curvature of each point on the plate curve, which is a function of t. and are reciprocal of each other; is the projection coordinate of each point on the plate curve in the x direction, which is the integral variable; and is the integration constant; is the z-axis coordinate value at the x-coordinate on the plate curve, which is a function of x and describes the change of the plate's position in the z direction with x; Is the inner integral variable, used to calculate the inner integral , which is also a variable related in the x direction.

[0128] Step 2: Based on the first calculation results, determine the multi-roller straightening analytical model for each of the three types of areas.

[0129] It should be noted that the process parameter information also includes the roller spacing between the geometric centers of two adjacent straightening rollers on the x-axis. , the distance between the edge points of two adjacent straightening rollers on the z axis , roller radius of each straightening roller (Assuming that the radius of all straightening rollers is the same), the boundary conditions of the first set point and the boundary conditions of the second set point, etc. The first set point is the starting point of each type of area, and the second set point is the end point of each type of area. The starting point and the end point have been introduced above and will not be repeated here. Among them, the boundary conditions include the position coordinates of the set point and the coordinate azimuth of the set point. For example Figure 6 , the coordinate azimuth of the first set point (i.e. the coordinate origin) of the entrance area is .

[0130] For the entrance area, the second step specifically includes:

[0131] Substituting the boundary conditions of the first set point into the first calculation result for calculation, the integral constant can be determined and ,in, , , so the second calculation result is:

[0132] (4)

[0133] Combined with the roller spacing of the geometric centers of the two straightening rollers in the entrance area on the x-axis, the distance between the edge points of two adjacent straightening rollers in the entrance area on the z-axis, and the roller radius of the straightening rollers in the entrance area, the boundary conditions of the second set point are substituted into the second calculation result to obtain the third calculation result:

[0134] (5)

[0135] The third calculation result is determined as the analytical model of the multi-roller straightening in the entrance area (i.e., the curvature integral model), where: It is the curve of the plate from the starting point arrive Curvature Integrate to reflect the time from the starting point to The cumulative change of the coordinate azimuth at the position; is the distance between two adjacent contact points on the first straightening roller and the second straightening roller in the x-axis direction; is the acute angle between the line connecting the contact point on the first straightening roller (for example, the left straightening roller) and the geometric center of the roller and the z-axis (that is, is the coordinate azimuth of the first straightening roller (for example, the left straightening roller); is the acute angle between the line connecting the contact point on the second straightening roller (for example, the right straightening roller) and the geometric center of the roller and the z-axis (that is, is the coordinate azimuth of the second straightening roller); The result of curvature integration is integrated again, taking into account the curvature change and the initial angle of the plate. The influence of direction and position, is the inner integration variable; is the roller radius of the straightening roller; is the roller spacing between the geometric center of the first straightening roller and the geometric center of the second straightening roller in the x-axis direction; The distance between the edge point of the upper and lower edges of the first straightening roller close to the plate and the edge point of the upper and lower edges of the second straightening roller close to the plate in the z-axis direction; 、 、 are all known quantities, 、 For the desire of quantity, 、 is an unknown quantity. and Similarly, Figure 7 and attached Figure 8 in and The meaning of is no longer detailed, and Similarly, Figure 7 and attached Figure 8in and The meaning of is no longer detailed, and Similarly, Figure 7 and attached Figure 8 in and The meaning will not be elaborated one by one.

[0136] For even-numbered or odd-numbered formal districts, the second step specifically includes:

[0137] Substituting the boundary conditions of the first set point into the first calculation result, we obtain the fourth calculation result:

[0138] (6)

[0139] in, is the angle correction term associated with the i-th straightening roller, is the acute angle between the line connecting the contact point on the ith straightening roller and the geometric center of the roller and the z-axis, Used to adjust symbols.

[0140] Combined with the roller spacing between the geometric centers of the two straightening rollers in the even-numbered or odd-numbered formal area on the x-axis, the spacing between the edge points of two adjacent straightening rollers in the even-numbered or odd-numbered formal area on the z-axis, and the roller radius of the straightening rollers in the even-numbered or odd-numbered formal area, the boundary conditions of the second set point are substituted into the fourth calculation result to obtain the fifth calculation result:

[0141] (7)

[0142] in, The plate curve from the starting point 0 to The curvature at Integration reflects the change of coordinate azimuth; is the distance between two adjacent contact points on the i-th straightening roller and the i+1-th straightening roller in the x-axis direction; is the roller spacing between the geometric centers of the i-th straightening roller and the i+1-th straightening roller in the x-axis direction; is the acute angle between the line connecting the contact point on the i-th straightening roller and the geometric center of the roller and the z-axis (i.e. is the coordinate azimuth of the i-th straightening roller); is the acute angle between the line connecting the contact point on the i+1th straightening roller and the geometric center of the roller and the z-axis (i.e. is the coordinate azimuth of the i+1th straightening roller); is the distance in the z-axis direction between the edge point of the upper and lower edges of the i-th straightening roller close to the plate and the edge point of the upper and lower edges of the i+1-th straightening roller close to the plate; is the roller radius of the straightening roller; 、 、 are all known quantities, 、 For the desire of quantity, 、 is an unknown quantity.

[0143] The fifth calculation result is determined as the multi-roller straightening analytical model of the even-numbered formal area or the odd-numbered formal area.

[0144] It should be noted that the establishment of the above multi-roller straightening analytical model only involves the establishment of the curvature integral model. 、 Isotropic quantities should be combined with the corresponding moment-curvature model.

[0145] In summary, the embodiment of the present invention first redistributes the straightening area, which is conducive to a comprehensive description of the multi-roller straightening process and facilitates the subsequent use of the model to conduct a more comprehensive analysis of the multi-roller straightening process; secondly, a new and clear definition of the coordinate azimuth of each point on the plate curve in the multi-straightening roller analytical model is given, which is conducive to model calculation, improves the model operation efficiency, and further facilitates a more comprehensive analysis of the multi-roller straightening process.

[0146] After building the multi-roller straightening analytical model, the process parameters can be controlled online in the plate straightening process based on the multi-roller straightening analytical model. The process parameters that can be controlled online are mainly the following:

[0147] Leveling roller pressure: The pressure exerted by the straightening roller on the plate is a key parameter influencing the straightening effect. The analytical model calculates the required leveling roller pressure at different locations and stages based on the plate's mechanical properties and straightening requirements. This allows for online adjustment to optimally distribute residual stress within the plate and achieve optimal flatness.

[0148] Straightening roller spacing: The spacing between straightening rollers determines the degree of plate curvature and the distribution of stress points during the straightening process. Analytical models can optimize the straightening roller spacing based on plate thickness, strength, and other parameters, enabling online adjustment to ensure that the plate is straightened according to the desired curvature, improving straightening efficiency and quality.

[0149] The device provided by the present invention is described below. The device described below and the method described above can be referenced to each other.

[0150] like Figure 9As shown, an embodiment of the present invention further provides a modeling device for a plate straightening process, which is used to implement the modeling method for a plate straightening process in any of the above embodiments. The modeling device for a plate straightening process may include:

[0151] An acquisition module 910 is used to acquire process information of the plate straightening process; the process information includes at least partition reference information and process parameter information;

[0152] A partitioning module 920 is used to partition the multi-roller straightening abstract model into three types of areas based on the partition reference information; the three types of areas include an entrance area, an even-numbered formal area, and an odd-numbered formal area;

[0153] A first determination module 930 is used to determine a geometric relationship differential model of the plate straightening process in each of the three types of areas;

[0154] The second determination module 940 is used to determine a multi-roller straightening analytical model corresponding to a geometric relationship differential model of the plate straightening process based on the process parameter information.

[0155] An embodiment of the present invention further provides an electronic device, which may include: a processor, a communication interface, a memory, and a communication bus, wherein the processor, the communication interface, and the memory communicate with each other via the communication bus. The memory stores a computer program executable by the processor; when the processor executes the computer program, it can execute the plate straightening process modeling method described in any of the above embodiments.

[0156] Furthermore, the logical instructions in the aforementioned memory can be implemented as software functional units and, when sold or used as independent products, stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, or the portion that contributes to the prior art, or a portion of the technical solution, can be embodied in the form of a software product. This computer software product, stored in a storage medium, includes instructions for enabling a computer device (which can be a personal computer, server, or network device, etc.) to execute all or part of the steps of the various embodiments of the method of the present invention. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, mobile hard drives, read-only memories, random access memories, magnetic disks, or optical disks.

[0157] On the other hand, the present invention also provides a non-transitory computer-readable storage medium, in which instructions are stored. When the instructions are executed, the modeling method of the plate straightening process in any of the above embodiments is implemented.

[0158] Although the present invention has been described herein in conjunction with various embodiments, in the process of implementing the claimed invention, those skilled in the art may understand and implement other variations of the disclosed embodiments by reviewing the drawings, the disclosure, and the appended claims. In the claims, the word "comprising" does not exclude other components or steps, and "a" or "an" does not exclude multiple situations. A single processor or other unit may implement several functions listed in the claims. Certain measures are recorded in different dependent claims, but this does not mean that these measures cannot be combined to produce good results.

[0159] Although the present invention has been described with reference to specific features and embodiments thereof, it will be apparent that various modifications and combinations may be made thereto without departing from the spirit and scope of the invention. Accordingly, this specification and drawings are merely illustrative of the invention as defined by the appended claims and are deemed to cover any and all modifications, variations, combinations or equivalents within the scope of the invention. It will be apparent that various modifications and variations may be made to the present invention by those skilled in the art without departing from the spirit and scope of the invention. Thus, the present invention is intended to include such modifications and variations as fall within the scope of the claims of the present invention and their equivalents.

Claims

1. A modeling method for a plate straightening process, characterized in that: include: Obtain process information of plate straightening process; The process information includes at least partition reference information and process parameter information; Based on the partition benchmark information, the multi-roller straightening abstract model is divided into regions to obtain three types of regions; Determine a differential model of geometrical relations of the plate straightening process in each of the three types of regions; Determining a multi-roller straightening analytical model corresponding to a geometric relationship differential model of the plate straightening process based on the process parameter information; Based on the partition reference information, the multi-roller straightening abstract model is divided into regions to obtain three types of regions, including: Taking the positions of two adjacent contact points as boundaries, the plate curve between the first straightening roller and the second straightening roller is determined as the entrance area; Taking the positions of two adjacent contact points as the boundary, if the straightening roller corresponding to the contact point position closest to the entrance area is numbered even, the plate curve between the two adjacent straightening rollers is determined as the even-numbered formal area; Taking the positions of two adjacent contact points as the boundary, if the number of the straightening roller corresponding to the contact point position closest to the entrance area is odd, the plate curve between the two adjacent straightening rollers is determined as the odd formal area; Determining the geometric relationship differential model of the plate straightening process in each of the three types of areas includes: Establish a Cartesian coordinate system in each type of area; In the Cartesian coordinate system in each type of area, the sign of the target parameter is determined, and the curvature integral method is used to construct the differential equation system: ， The target parameters include the coordinate azimuth and curvature radius of each point. is the radius of curvature of each point on the plate curve; is the coordinate azimuth of each point on the plate curve; the coordinate azimuth is the acute angle between the tangent line of each point on the plate curve and the positive direction of the x-axis in the Cartesian rectangular coordinate system; The differential equations are processed to obtain the geometric relationship differential model of the plate straightening process: ； The method of determining a multi-roller straightening analytical model corresponding to the geometric relationship differential model of the plate straightening process based on the process parameter information includes: based on the process parameter information, using an integral method to process the geometric relationship differential model of the plate straightening process for each type of area to obtain a multi-roller straightening analytical model for each type of area.

2. The modeling method of the plate straightening process according to claim 1, characterized in that: include: Determining the sign of the target parameter in the Cartesian coordinate system in each type of area includes: Determining the sign of the coordinate azimuth of each point according to the quadrant position of the coordinate azimuth of each point in the Cartesian coordinate system; When the coordinate azimuth of each point is located in the first quadrant, the sign of the coordinate azimuth is positive; when the coordinate azimuth of each point is located in the fourth quadrant, the sign of the coordinate azimuth is determined to be negative.

3. The modeling method for plate straightening process according to claim 2, characterized in that: Determining the sign of the target parameter includes: The positive and negative signs of the curvature radii of each point are determined based on the positional relationship between the center of curvature corresponding to the curvature radii of each point and the plate curve; when the center of curvature is located above the plate curve, the signs of the curvature radii of each point are positive; when the center of curvature is located below the plate curve, the signs of the curvature radii of each point are determined to be negative.

4. The modeling method for plate straightening process according to claim 3, characterized in that: The processing of the differential equations comprises: Approximate conditions are used: and , simplify the differential equations.

5. The modeling method for plate straightening process according to claim 4, characterized in that: Based on the process parameter information, the geometric relationship differential model of the plate straightening process in each type of area is processed by integration to obtain a multi-roller straightening analytical model for each type of area, which at least includes: For each of the three types of regions, an integral calculation is performed on the geometric relationship differential model of the plate straightening process to obtain a first calculation result: ； in, is the curvature of each point on the plate curve, is the projection coordinate of each point on the plate curve in the x direction, and is the integration constant; Based on the first calculation result, a multi-roller straightening analytical model for each of the three types of areas is determined.

6. The modeling method for plate straightening process according to claim 5, characterized in that: The process parameter information also includes the roller spacing between the geometric centers of two adjacent straightening rollers on the x-axis, the spacing between the edge points of two adjacent straightening rollers on the z-axis, the roller radius of each straightening roller, the boundary conditions of the first set point, and the boundary conditions of the second set point; Determining the multi-roller straightening analytical model for each of the three types of areas based on the first calculation result includes: For the inlet area, the boundary conditions of the first set point are substituted into the first calculation result to perform calculation, and the second calculation result is: ； Combined with the roller spacing between the geometric centers of the two straightening rollers in the entrance area on the x-axis, the spacing between the edge points of two adjacent straightening rollers in the entrance area on the z-axis, and the roller radius of the straightening rollers in the entrance area, the boundary conditions of the second set point are substituted into the second calculation result for calculation, and the third calculation result is obtained: ； Determining the third calculation result as the multi-roller straightening analytical model of the entrance area; in, is the distance between two adjacent contact points on the first straightening roller and the second straightening roller in the x-axis direction; is the acute angle between the line connecting the contact point and the geometric center of the first straightening roller and the z-axis; is the acute angle between the line connecting the contact point and the geometric center of the second straightening roller and the z-axis; is the inner integration variable; is the roller radius of the straightening roller; is the roller spacing between the geometric center of the first straightening roller and the geometric center of the second straightening roller in the x-axis direction; It is the distance in the z-axis direction between the edge point of the upper and lower edge points of the first straightening roller close to the plate side and the edge point of the upper and lower edge points of the second straightening roller close to the plate side.

7. The modeling method for plate straightening process according to claim 6, characterized in that: Determining the multi-roller straightening analytical model for each of the three types of areas based on the first calculation result includes: For the even-numbered formal area or the odd-numbered formal area, the boundary condition of the first set point is substituted into the first calculation result to perform calculation, thereby obtaining a fourth calculation result: ； Combined with the roller spacing between the geometric centers of the two straightening rollers in the even formal area or the odd formal area on the x-axis, the spacing between the edge points of two adjacent straightening rollers in the even formal area or the odd formal area on the z-axis, and the roller radius of the straightening rollers in the even formal area or the odd formal area, the boundary conditions of the second set point are substituted into the fourth calculation result to perform a calculation, and a fifth calculation result is obtained: ； Determining the fifth calculation result as the multi-roller straightening analytical model of the even-numbered formal area or the odd-numbered formal area; in, is the distance between two adjacent contact points on the i-th straightening roller and the i+1-th straightening roller in the x-axis direction; is the roller spacing between the geometric centers of the i-th straightening roller and the i+1-th straightening roller in the x-axis direction; is the acute angle between the line connecting the contact point and the geometric center of the i-th straightening roller and the z-axis; is the acute angle between the line connecting the contact point and the geometric center of the i+1th straightening roller and the z-axis; is the distance in the z-axis direction between the edge point of the upper and lower edges of the i-th straightening roller close to the plate and the edge point of the upper and lower edges of the i+1-th straightening roller close to the plate; is the roller radius of the straightening roller.

8. A modeling device for plate straightening process, characterized in that: include: An acquisition module is used to obtain process information of the plate straightening process; The process information includes at least partition reference information and process parameter information; A partitioning module is used to divide the multi-roller straightening abstract model into three types of areas based on the partition reference information; the three types of areas include an entrance area, an even-numbered formal area, and an odd-numbered formal area; A first determining module is used to determine a geometric relationship differential model of the plate straightening process in each of the three types of areas; A second determining module is configured to determine a multi-roller straightening analytical model corresponding to a geometric relationship differential model of the plate straightening process based on the process parameter information; Determining the geometric relationship differential model of the plate straightening process in each of the three types of areas includes: Establish a Cartesian coordinate system in each type of area; In the Cartesian coordinate system in each type of area, the sign of the target parameter is determined, and the curvature integral method is used to construct the differential equation system: ， The target parameters include the coordinate azimuth and curvature radius of each point. is the radius of curvature of each point on the plate curve; is the coordinate azimuth of each point on the plate curve; the coordinate azimuth is the acute angle between the tangent line of each point on the plate curve and the positive direction of the x-axis in the Cartesian rectangular coordinate system; The differential equations are processed to obtain the geometric relationship differential model of the plate straightening process: ； The method of determining a multi-roller straightening analytical model corresponding to the geometric relationship differential model of the plate straightening process based on the process parameter information includes: based on the process parameter information, using an integral method to process the geometric relationship differential model of the plate straightening process for each type of area to obtain a multi-roller straightening analytical model for each type of area.

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