Rolling force determination method, device and equipment in corrugated roller rolling process
By dividing the deformation zone into multiple differential unit bodies during the corrugated rolling process, and determining the unit width rolling force using the force equilibrium differential equation, the problem of long calculation time and high cost in the prior art is solved, and efficient and accurate rolling force prediction is achieved.
Patent Information
- Application Number
- CN202510521586.4
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-04-24
- Publication Date
- 2025-05-23
- Estimated Expiration
- 2045-04-24
AI Technical Summary
During the corrugated rolling process, it is difficult for the prior art to quickly and accurately determine the rolling force, resulting in long calculation time, high cost and low efficiency.
By obtaining the process parameters during the rolling process of metal composite plates, the deformation zone is divided into multiple differential unit bodies, and based on the type and boundary information of each differential unit body, the unit width rolling force is determined using the force equilibrium differential equation to finally determine the rolling force in the corrugated roll-type metal composite plate.
It improves the efficiency of rolling force calculation and prediction accuracy, achieves fast and accurate rolling force determination, reduces costs, and improves operational flexibility.
Smart Images

Figure CN120023186A_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the technical field of composite plate rolling, and in particular to a method, a device and equipment for determining rolling force in a corrugated roller rolling process. Background Art
[0002] Metal composite plate is a new type of composite material formed by firmly metallurgically combining two or more single metals through specific process technology. It has many excellent properties. During use, metal composite plate can not only give full play to the advantages of each component, but also has many excellent comprehensive properties, such as better ductility, hardness and conductivity. Therefore, metal composite plate is widely used in various fields such as aerospace, shipbuilding, automobiles, etc.
[0003] The preparation methods of metal composite plates include diffusion welding, extrusion drawing, explosive composite plates, casting and rolling composites, and rolling composites. Among them, the rolling composite method is widely used due to its high production efficiency and easy industrial mass production.
[0004] The traditional flat roll composite rolling technology has problems such as large difference in bimetallic elongation, low bonding strength and poor plate shape during the preparation process. In recent years, a corrugated rolling technology has been proposed, which has the advantages of improving plate shape, refining grains and improving the anisotropy of metal materials. The related art has explained the corrugated rolling technology. During the corrugated rolling process, the corrugated roller contacts the metal that is difficult to deform, and the flat roller contacts the metal that is easy to deform, which solves the problems of inconsistent metal deformation and obtains a metal composite plate with excellent performance.
[0005] In the specific implementation, before conducting the rolling experiment, the roll gap between the upper and lower rolls must be determined first. The rolling force is the core of the rolling mill control. By applying a sufficient rolling force, the metal can be deformed according to the predetermined shape and size. At present, the rolling force in the corrugated rolling process is mainly predicted by the finite element method and the experimental method. However, the finite element method has a long calculation time, and the experimental method has a high cost. In addition, these two methods can only calculate and experiment for one specific process at a time, which is time-consuming and inefficient. Therefore, the corrugated rolling process urgently needs a rolling force determination method with short calculation time, low cost and good flexibility. Summary of the invention
[0006] The object of the present invention is to provide a method, device and equipment for determining rolling force in a corrugation roller rolling process, so as to improve the calculation efficiency and prediction accuracy of rolling force in corrugation roller rolling of metal composite plates.
[0007] In order to achieve the above object, the present invention provides the following technical solutions: In a first aspect, the present invention provides a method for determining rolling force in a corrugation roller rolling process, comprising: Acquiring process parameters during the rolling process of the metal composite plate; the process parameters at least include the width of the metal composite plate; Determine a first neutral point corresponding to the flat roller and a second neutral point corresponding to the corrugated roller; Based on the first neutral point and the second neutral point, the deformation zone of the metal composite plate is divided to obtain a plurality of differential unit bodies; the deformation zone is a composite plate area where the metal composite plate and the flat roller, and the metal composite plate and the corrugated roller are in contact; Based on the process parameters, determining the boundary information of each differential unit body; the boundary information includes boundary coordinates and shape parameters; Based on the type of each differential unit body and the boundary information, a force balance differential equation is used to determine the unit width rolling force corresponding to the deformation zone; Based on the rolling force per unit width and the width of the metal clad plate, a rolling force in corrugating roller forming the metal clad plate is determined.
[0008] Optionally, before determining the unit width rolling force corresponding to the deformation zone by using a force balance differential equation based on the type of each differential unit body and the boundary information, the method further includes: When the differential unit body is located on the left side of the first neutral point and is in a thickening state, determining the differential unit body as a first type of differential unit body; When the differential unit body is located on the right side of the first neutral point and is in a thickening state, determining the differential unit body as a second type differential unit body; When the differential unit body is located on the left side of the first neutral point and is in a thinned state, determining the differential unit body as a third type of differential unit body; When the differential unit cell is located on the right side of the first neutral point and is in a thinned state, the differential unit cell is determined as a fourth type differential unit cell.
[0009] Optionally, the metal composite plate includes a hard metal layer and a soft metal layer; The method of determining the unit width rolling force corresponding to the deformation zone by using a force balance differential equation based on the type of each differential unit body and the boundary information includes: determining a first contact friction stress between the hard metal layer and the corrugation roller; determining a second contact friction stress between the soft metal layer and the flat roller; determining a third contact friction stress between the hard metal layer and the soft metal layer; According to the type of each differential unit body, a first average shear stress corresponding to the hard metal layer in each differential unit body and a second average shear stress corresponding to the soft metal layer in each differential unit body are calculated based on the first contact friction stress, the second contact friction stress and the third contact friction stress; Based on the type of each differential unit body, the first average shear stress and the second average shear stress corresponding to each differential unit body are substituted into the force balance differential equation, and the unit width rolling stress corresponding to the differential unit body is derived according to the stress boundary condition and the yield condition; Based on the boundary information, the unit width rolling stresses of all differential unit bodies in the deformation zone are integrated and summed to obtain the unit width rolling force.
[0010] Optionally, the process parameters further include: a first friction coefficient, a second friction coefficient and a third friction coefficient; The determining of a first contact friction stress between the hard metal layer and the corrugation roller comprises: Substituting the first friction coefficient into the formula: ; The first contact friction stress is obtained by calculation; wherein, is the first contact friction stress; is the first friction coefficient; The determining of the second contact friction stress between the soft metal layer and the flat roller comprises: Substituting the second friction coefficient into the formula: ; The second contact friction stress is calculated; wherein, is the second contact friction stress; is the second friction coefficient; The determining of the third contact friction stress between the hard metal layer and the soft metal layer comprises: Substituting the third friction coefficient into the formula: ; The third contact friction stress is obtained by calculation; wherein, is the third contact friction stress; is the third friction coefficient; in, ; ; ; ; ; is the deformation resistance of the hard metal layer; is the deformation resistance of the soft metal layer; is the inlet thickness of the soft metal layer; is the outlet thickness of the soft metal layer; is the inlet thickness of the hard metal layer; is the exit thickness of the hard metal layer.
[0011] Optionally, the calculating, according to the type of each differential unit body, based on the first contact friction stress, the second contact friction stress, and the third contact friction stress, a first average shear stress corresponding to the hard metal layer in each differential unit body and a second average shear stress corresponding to the soft metal layer in each differential unit body comprises: For the first type of differential unit cell, the first contact friction stress and the second contact friction stress are substituted into the formula: ; The first average shear stress is calculated; wherein, is the first average shear stress; For the first type differential unit cell, the second contact friction stress and the third contact friction stress are substituted into the formula: ; The second average shear stress is calculated; wherein, is the second average shear stress; For the second type differential unit cell, the first contact friction stress and the second contact friction stress are substituted into the formula: ; Calculating and obtaining the first average shear stress; For the second type differential unit cell, the second contact friction stress and the third contact friction stress are substituted into the formula: ; Calculating and obtaining the second average shear stress; For the third type of differential unit cell, the first contact friction stress and the second contact friction stress are substituted into the formula: ; Calculating and obtaining the first average shear stress; For the third type of differential unit cell, the second contact friction stress and the third contact friction stress are substituted into the formula: ; Calculating and obtaining the second average shear stress; For the fourth type of differential unit cell, the first contact friction stress and the second contact friction stress are substituted into the formula: ; Calculating and obtaining the first average shear stress; For the fourth type of differential unit cell, the second contact friction stress and the third contact friction stress are substituted into the formula: ; The second average shear stress is calculated.
[0012] Optionally, the process parameters further include the length of the corrugated composite plate, the equation of the upper surface of the corrugated composite plate in contact with the corrugating roller, and the equation of the lower surface of the corrugated composite plate in contact with the flat roller; the corrugated composite plate is a rolled metal composite plate; The upper surface equation is: ; The lower surface equation is: , ; in, , L is the length of the corrugated composite board; is the amplitude of the corrugation in the corrugation roller, is the length of one cycle of corrugation in the corrugation roller; represents a positive integer; The rolling force determination method further comprises: The amplitude of the corrugations in the corrugation roller and the length of one period of corrugations in the corrugation roller are extracted from the upper surface equation.
[0013] Optionally, the process parameters also include: The equivalent rolling radius corresponding to the corrugated roller and the flat roller; The step of determining the boundary information of each differential unit body based on the process parameters includes: Substituting the equivalent rolling radius into the formula: ; Calculate the horizontal coordinate of the boundary; where, is the horizontal coordinate of the boundary; is the equivalent rolling radius; is the number of corrugations in the corrugation roller; n represents the nth differential unit body; Substituting the equivalent rolling radius into the formula: ; Calculate the boundary ordinate; where, is the dividing ordinate; is the outlet thickness of the metal composite plate; Using the formula: ; Calculate and obtain the first shape parameter; is the first shape parameter; Using the formula: ; The second shape parameter is calculated; is the second shape parameter.
[0014] Optionally, based on the boundary information, integrating and summing the unit width rolling stresses of all differential unit bodies in the deformation zone to obtain the unit width rolling force includes: Based on the demarcation information, the formula is adopted: ; The rolling force per unit width is calculated; wherein, is the rolling force per unit width; is the rolling stress per unit width of the nth differential unit; is the total number of differential units.
[0015] Compared with the prior art, the present invention first obtains the process parameters during the rolling process of the metal composite plate; the process parameters include at least the width of the metal composite plate, and then based on the first neutral point and the second neutral point, the deformation zone of the metal composite plate is divided to obtain a plurality of differential units, and then based on the process parameters, the boundary information of each differential unit is determined, and then based on the type of each differential unit and the boundary information, the force balance differential equation is used to determine the unit width rolling force corresponding to the deformation zone, and finally based on the unit width rolling force and the width of the metal composite plate, the rolling force in the corrugated roller type metal composite plate is determined, and the rolling force obtained is highly consistent with the actual value. This prediction technology is not only safe and reliable, accurate in calculation, but also easy to operate, has good programmability, and is convenient for analyzing the influence of various rolling process parameters on rolling force.
[0016] In a second aspect, the present invention further provides a rolling force determination device in a corrugated roller rolling process, comprising: an acquisition module for acquiring process parameters in a metal composite plate rolling process; the process parameters at least include a width of the metal composite plate; A first determination module, used to determine a first neutral point corresponding to the flat roller and a second neutral point corresponding to the corrugated roller; A division module, used for dividing the deformation zone of the metal composite plate based on the first neutral point and the second neutral point to obtain a plurality of differential unit bodies; the deformation zone is the composite plate area where the metal composite plate contacts the flat roller; A second determination module is used to determine the boundary information of each differential unit body based on the process parameters; the boundary information includes boundary coordinates and shape parameters; A third determination module is used to determine the unit width rolling force corresponding to the deformation zone by using a force balance differential equation based on the type of each differential unit body and the boundary information; The fourth determination module is used to determine the rolling force in corrugating roller forming the metal composite plate based on the unit width rolling force and the width of the metal composite plate.
[0017] In a third aspect, the present invention also provides an electronic device, comprising: a processor, a communication interface, a memory and a communication bus; wherein the processor, the communication interface and the memory communicate via the communication bus; the memory stores a computer program that can be run by the processor; when the processor runs the computer program, it executes the rolling force determination method in the corrugation roller rolling process described in any one of the above items. BRIEF DESCRIPTION OF THE DRAWINGS
[0018] 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: Figure 1 A schematic flow chart of a method for determining rolling force in a corrugation roller rolling process provided by one embodiment of the present invention; Figure 2 One of the schematic diagrams of the state when the corrugated roller and the flat roller jointly roll the metal composite plate according to one embodiment of the present invention; Figure 3 A schematic diagram of a coordinate system established based on a rolled metal composite plate provided in one embodiment of the present invention; Figure 4 A second schematic diagram of a state in which a corrugated roller and a flat roller are jointly rolling a metal composite plate according to an embodiment of the present invention; Figure 5 For the present invention Figure 4 Schematic diagram of force analysis of a differential unit body; Figure 6 A simulation result diagram provided for an embodiment of the present invention; Figure 7 A schematic structural diagram of a rolling force determination device in a corrugation roller rolling process provided by one embodiment of the present invention; Figure 8A schematic structural diagram of an electronic device provided by an embodiment of the present invention. DETAILED DESCRIPTION
[0019] In order to clearly describe the technical solutions of the embodiments of the present invention, in the embodiments of the present invention, words such as "first" and "second" are used to distinguish the same items or similar items with basically the same functions and effects. For example, the first threshold and the second threshold are only used to distinguish different thresholds, and their order is not limited. Those skilled in the art can understand that words such as "first" and "second" do not limit the quantity and execution order, and words such as "first" and "second" do not necessarily limit them to be different.
[0020] 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 interpreted as being more preferred or more advantageous than other embodiments or designs. Specifically, the use of words such as "exemplary" or "for example" is intended to present related concepts in a specific way.
[0021] In the present invention, "at least one" means one or more, "more than one" means two or more. "And / or" describes the association relationship of the associated objects, indicating that three types of relationships may exist.
[0022] like Figure 1 As shown, an embodiment of the present invention provides a method for determining rolling force in a corrugation roller rolling process, which may include: Step 110: obtaining process parameters during the rolling process of the metal composite plate; the process parameters at least include the width of the metal composite plate; For example Figure 2 As shown, in an embodiment of the present invention, a corrugated composite plate is obtained by rolling a metal composite plate using a corrugated roller and a flat roller. The metal composite plate includes two layers of metal, one layer is a hard metal layer, and the other layer is a soft metal layer. The hard metal layer is on one side of the corrugated roller, and the soft metal layer is on one side of the flat roller. For example, the hard metal layer is a copper plate, and the soft metal layer is an aluminum plate.
[0023] In the specific implementation, the entire rolling process includes multiple rolling passes, and there are many process parameters obtained in each rolling process, and the metal composite plate width B is only one of them. Other process parameters include: the entrance thickness of the hard metal in the metal composite plate , soft metal inlet thickness , outlet thickness of hard metal , outlet thickness of soft metals , the front tension of the metal composite plate , the post tension of the metal composite panel , the contact friction coefficient between the hard metal and the corrugated roller , the friction coefficient between the soft metal and the flat roller , the coefficient of friction between hard metal and soft metal , the equivalent rolling radius of the corrugation roller , the equivalent rolling radius R of the flat roller, the contact equation between the upper surface of the corrugated composite plate and the corrugated roller, the contact equation between the lower surface of the corrugated composite plate and the flat roller, etc. The equivalent rolling radius of the corrugated roller and the equivalent rolling radius of the flat roller are the same in size.
[0024] The entry thickness of hard metal, the entry thickness of soft metal, and the width of metal composite plate are usually determined in the material preparation stage before production and can be obtained by direct measurement or according to material specifications.
[0025] The outlet thickness of hard metal and soft metal usually need to be calculated through rolling theory (such as rolling force formula, bounce equation, etc.) combined with experimental data.
[0026] Front tension, rear tension, tension is usually set by the tension control system, and can be adjusted according to process requirements. The existence of tension helps to improve the plate shape during rolling and reduce rolling force.
[0027] The friction coefficient is affected by factors such as the material properties, roughness, and lubrication conditions of the contact surface. It can be obtained through experimental measurement or by referring to relevant literature.
[0028] The rolling radius is usually determined by the design size of the roller, which can be obtained by direct measurement or according to the design drawing.
[0029] The contact equation describes the geometric relationship between the plate and the roller during rolling. For corrugated rollers, the contact equation may include parameters such as the shape, period and amplitude of the corrugation; for flat rollers, the contact equation is relatively simple, usually only involving the contact length and angle between the plate and the roller. These equations can be obtained through geometric analysis or numerical simulation.
[0030] like Figure 3 As shown in the figure, the center horizontal line of the equivalent outlet thickness of the metal composite plate is taken as the x-axis, the positive direction of the x-axis is the same as the rolling direction, and the equivalent outlet position during rolling includes the midpoint of the front wave waist and the midpoint of the rear wave waist. The common center line of the upper corrugated roller and the lower flat roller is taken as the y-axis, the positive direction of the y-axis is upward, and the intersection of the two axes is the coordinate origin O. The corresponding coordinate system is established, and the upper surface equation of the corrugated composite plate in contact with the corrugated roller can be obtained as: (1) Among them, the maximum value of x is L.
[0031] The equation of the lower surface of the corrugated composite plate in contact with the flat roller is: , (2) in, is the outlet thickness of the metal composite plate, ; L represents the length of the rolled metal composite plate (ie, corrugated composite plate), represents the amplitude of the corrugation in the corrugation roller, It indicates the length of one cycle of corrugation in the corrugation roller; Represents a positive integer.
[0032] After obtaining the upper surface equation and the lower surface equation, the two parameters of the amplitude of the corrugation in the corrugation roller and the length of one period of corrugation in the corrugation roller can be extracted from the upper surface equation for subsequent calculation of the boundary information.
[0033] Step 120: Determine a first neutral point corresponding to the flat roller and a second neutral point corresponding to the corrugated roller; The waveform state of the corrugated composite plate at the outlet position includes four states: trough, front wave waist midpoint, peak and rear wave waist midpoint. Figure 4 As shown, the waveform state of the corrugated composite plate at the outlet position is a trough.
[0034] It is understood that the neutral point refers to the point where the pressure and deformation of the metal material between the rolls during the rolling process reach a balance. At this point, the flow rate of the material is equal to the linear speed of the rolls.
[0035] The neutral point of the corrugated roller is often on the crest and trough, so there are multiple second neutral points. Figure 4 Points C, D, E, F, G, H and I in the figure.
[0036] There is only one neutral point of the flat roller, that is, there is only one first neutral point. Figure 4 N points in .
[0037] Step 130: Based on the first neutral point and the second neutral point, the deformation zone of the metal composite plate is divided to obtain a plurality of differential unit bodies; the deformation zone is the composite plate area where the metal composite plate and the flat roller, and the metal composite plate and the corrugated roller are in contact; Since there is only one first neutral point and multiple second neutral points, the deformation zone is divided by a straight line starting from the crest position and the trough position and parallel to the center line of the two rolls. It is worth noting that the differential unit body should be divided separately at the neutral point position of the flat roll. Figure 4 Points C, N, D, E, F, G, H and I divide the deformation area into , , , , , , There are seven differential units in total.
[0038] It is important to note that, since the position of the first neutral point is unknown at the beginning, that is, it needs to be solved, therefore, when programming a method for determining the rolling force in a corrugation roller rolling process, it is necessary to assume the position of the first neutral point, and then obtain the specific coordinates of the first neutral point by solving. Specifically, the solution process of the first neutral point can be: first assume that the position of the first neutral point is between point C and point D, so that after division, there are , , , , , , Seven differential units.
[0039] Step 140: Determine the boundary information of each differential unit body based on the process parameters; the boundary information includes boundary coordinates and shape parameters; Step 140 may specifically include a first step, a second step, a third step and a fourth step, as follows: It should be noted that before the first step, you can also include: Using the formula: (3) Calculate the length of the deformation zone After determining the length of the deformation zone, its position coordinates in the coordinate system can be known as ( , 0).
[0040] Step 1: Substitute the equivalent rolling radius and the amplitude of the corrugation in the corrugation roller into the formula: (4) Calculate the horizontal coordinate of the boundary; where, is the dividing horizontal axis; is the equivalent rolling radius; is the amplitude of the corrugation in the corrugation roller; is the number of corrugations in the corrugation roller; n represents the nth differential unit body; Step 2: Substitute the equivalent rolling radius, the amplitude of the corrugation in the corrugation roller and the outlet thickness of the metal composite plate into the formula: (5) Calculate the boundary ordinate; where, is the dividing ordinate; is the outlet thickness of the metal composite plate; Step 3: Use the formula: (6) Calculate and obtain the first shape parameter; is the first shape parameter; Step 4: Use the formula: (7) The second shape parameter is calculated; is the second shape parameter.
[0041] Understandably, see Figure 4 It can be seen that a differential unit body includes two dividing lines, each dividing line corresponds to a dividing point, so there are two position coordinates at the left and right dividing points. For example, when calculating the dividing information of the first differential unit body, the position coordinates of the left dividing point are , the right dividing point is shown in formula (4) and formula (5), at this time n=1, and so on, the position coordinates of the dividing point on the left side of the second differential unit body are the same as the right position coordinates of the first differential unit body, and the right position coordinates change n to 2. The formula in step 140 calculates the coordinates of the dividing point on the right side.
[0042] Step 150: Based on the type and boundary information of each differential unit body, a force balance differential equation is used to determine the unit width rolling force corresponding to the deformation zone; In step 150, the type of each differential unit body is involved. Therefore, before step 150, the method further includes determining the type of the differential unit body. The specific type determination process is as follows: When the differential unit body is located on the left side of the first neutral point and is in a thickening state, the differential unit body is determined as a first type of differential unit body; When the differential unit body is located on the right side of the first neutral point and is in a thickening state, the differential unit body is determined as a second type of differential unit body; When the differential unit body is located on the left side of the first neutral point and is in a thinned state, the differential unit body is determined as a third type of differential unit body; When the differential unit cell is located on the right side of the first neutral point and is in a thinned state, the differential unit cell is determined as a fourth type differential unit cell.
[0043] In step 150, after each differential unit body is classified into types, a force analysis is performed on each differential unit body to construct a force balance differential equation, and then the constructed force balance differential equation is solved. Combined with the boundary information of each differential unit body, an analytical solution of the unit width rolling force corresponding to each differential unit body in the deformation zone is obtained.
[0044] Optionally, step 150 may include a first determination step, a second determination step, a third determination step, an average shear stress calculation step, a unit width rolling stress calculation step, and an integral summation step, as follows: A first determining step: determining a first contact friction stress between the hard metal layer and the corrugation roller; The second determining step: determining the second contact friction stress between the soft metal layer and the flat roller; A third determining step: determining a third contact friction stress between the hard metal layer and the soft metal layer; Average shear stress calculation step: according to the type of each differential unit body, based on the first contact friction stress, the second contact friction stress and the third contact friction stress, a first average shear stress corresponding to the hard metal layer in each differential unit body and a second average shear stress corresponding to the soft metal layer in each differential unit body are calculated; Unit width rolling stress calculation steps: based on the type of each differential unit body, the first average shear stress and the second average shear stress corresponding to each differential unit body are substituted into the force balance differential equation, and the unit width rolling stress corresponding to the differential unit body is derived according to the stress boundary condition and the yield condition; It is understood that the force balance differential equation is based on Newton's second law or the principle of force balance, which describes the relationship between the internal stress of an object and the external force. In the rolling process, this usually involves the balance of forces in the vertical direction (i.e. the rolling direction) and the horizontal direction (i.e. the width direction). For the rolling process of unit width, in order to simplify the problem, for example, only the balance of forces in the vertical direction can be considered. This usually means that the rolling force (or pressure) is balanced with the stress inside the material.
[0045] Stress boundary conditions refer to the distribution or magnitude of stress on the boundary of an object. In the rolling process, these conditions are usually determined by the contact stress between the roller and the workpiece, the contact friction stress and other external forces. For rolling of unit width, it is necessary to know the vertical pressure distribution applied by the roller to the workpiece, as well as the possible contact friction stress distribution. These boundary conditions will affect the stress distribution inside the workpiece.
[0046] In this embodiment, the stress boundary condition refers to that the rolling stresses of two adjacent differential unit bodies at the overlapping boundaries are equal.
[0047] The yield condition is the condition under which a material begins to deform plastically when subjected to an external force. In metal rolling, this is usually related to the yield strength of the material. When the rolling stress reaches or exceeds the yield strength of the material, the material will begin to deform plastically. Therefore, the yield condition is a key limiting condition for calculating rolling stress.
[0048] The yield condition in this embodiment refers to the plastic deformation of the metal composite plate when the pressure applied by the roller reaches the equivalent shear yield force.
[0049] Integral summation step: Based on the boundary information, the unit width rolling stress of all differential units in the deformation zone is integrated and summed to obtain the unit width rolling force.
[0050] In the prior art, it is also necessary to construct a force balance differential equation when measuring the rolling force in the corrugated roller rolled metal composite plate. However, the prior art only considers the friction stress and contact pressure of the differential unit body in the deformation zone when constructing the force balance differential equation, and does not consider the average shear stress on the side of the differential unit body. First, the prior art uses the existing finite element method, which has a large amount of calculation. If the average shear stress is added, the amount of calculation is large, the calculation is more complicated, and the calculation time is longer. Second, the prior art has not yet created a suitable algorithm that can well integrate the average shear stress into the algorithm to realize the measurement of the rolling force in the corrugated roller rolled metal composite plate.
[0051] Different from the prior art, in this embodiment, the average shear stress on the side of the differential unit body is taken into account in the constructed force balance differential equation. After the average shear stress is incorporated, a more detailed and accurate force analysis of the differential unit body can be performed. In this way, the rolling force in the final corrugated roller-rolled metal composite plate is also more accurate.
[0052] The reason why the present embodiment can consider the average shear stress in the force balance differential equation is that the present embodiment classifies each differential unit body, and the inventor creatively studies and finds that each differential unit body also includes an upper metal layer and a lower metal layer. Therefore, the directions of the friction forces on the upper and lower surfaces of each differential unit body are different. It can be further known that the average shear stress on the side of each differential unit body is also different. The average shear stress on each layer of metal is solved according to the position of each differential unit body.
[0053] Step 160: Determine the rolling force in corrugating roller forming the metal composite plate based on the rolling force per unit width and the width of the metal composite plate.
[0054] Beneficial effect: In the embodiment of the present invention, the process parameters in the rolling process of the metal composite plate are first obtained; the process parameters include at least the width of the metal composite plate, and then the deformation zone of the metal composite plate is divided based on the first neutral point and the second neutral point to obtain a plurality of differential units, and then the boundary information of each differential unit is determined based on the process parameters, and then the unit width rolling force corresponding to the deformation zone is determined by the force balance differential equation based on the type and boundary information of each differential unit, and finally the rolling force in the corrugated roller type metal composite plate is determined based on the unit width rolling force and the width of the metal composite plate. The rolling force obtained in this way is more accurate.
[0055] Furthermore, since the differential units are classified, and the two average shear stresses corresponding to each differential unit are calculated based on the classification of the differential units, and then the two average shear stresses are substituted into the force balance differential equation for solution, the obtained rolling force is more accurate, and the algorithm is easy to implement in programming, which can improve the calculation speed and thus improve the calculation efficiency.
[0056] In an optional embodiment, the first determining step: determining the first contact friction stress between the hard metal layer and the corrugation roller may specifically include: Substituting the first friction coefficient into the formula: (8) The first contact friction stress is calculated; where, is the first contact friction stress; is the first friction coefficient; is the first shear yield stress; The second determination step: determining the second contact friction stress between the soft metal layer and the flat roller may specifically include: Substituting the second friction coefficient into the formula: (9) The second contact friction stress is calculated; where, is the second contact friction stress; is the second friction coefficient; is the second shear yield stress; The third determining step: determining the third contact friction stress between the hard metal layer and the soft metal layer may specifically include: Substituting the third friction coefficient into the formula: (10) The third contact friction stress is calculated; where, is the third contact friction stress; is the third friction coefficient; in, ; ; ; ; ; is the deformation resistance of the hard metal layer; is the deformation resistance of the soft metal layer; is the inlet thickness of the soft metal layer; is the outlet thickness of the soft metal layer; is the entrance thickness of the hard metal layer; is the exit thickness of the hard metal layer; Characterize the inlet shear yield stress; Characterizes the outlet shear yield stress.
[0057] After obtaining the first contact friction stress, the second contact friction stress and the third contact friction stress, the first average shear stress corresponding to the hard metal layer in each differential unit body and the second average shear stress corresponding to the soft metal layer in each differential unit body are calculated. The specific steps are as follows: 1) For the first type of differential unit body, that is, when the metal composite plate is in the "thickening" state to the left of the neutral point of the flat roller, substitute the first contact friction stress and the second contact friction stress into the formula: (11) The first average shear stress is calculated; where is the first mean shear stress; For the first type of differential unit body, the second contact friction stress and the third contact friction stress are substituted into the formula: (12) The second average shear stress is calculated; where is the second mean shear stress; 2) For the second type of differential unit body, that is, when the metal composite plate is in the "thickening" state to the right of the neutral point of the flat roller, substitute the first contact friction stress and the second contact friction stress into the formula: (13) The first average shear stress is calculated; For the second type of differential unit body, the second contact friction stress and the third contact friction stress are substituted into the formula: (14) The second average shear stress is calculated; 3) For the third type of differential unit body, that is, when the metal composite plate is in the "thinning" state to the left of the neutral point of the flat roller, substitute the first contact friction stress and the second contact friction stress into the formula: (15) The first average shear stress is calculated; For the third type of differential unit body, the second contact friction stress and the third contact friction stress are substituted into the formula: (16) The second average shear stress is calculated; 4) For the fourth type of differential unit body, that is, when the metal composite plate is in the "thinning" state to the right of the neutral point of the flat roller, substitute the first contact friction stress and the second contact friction stress into the formula: (17) The first average shear stress is calculated; For the fourth type of differential unit body, the second contact friction stress and the third contact friction stress are substituted into the formula: (18) The second mean shear stress is calculated.
[0058] When the differential unit cell is a first type differential unit cell, the first average shear stress and the second average shear stress corresponding to the differential unit cell are substituted into the force balance differential equation. According to the stress boundary condition and the yield condition, the unit width rolling stress corresponding to the differential unit cell is derived as follows: (19) in, is the rolling stress per unit width; ; is the shear yield stress of the differential unit; when the differential unit is in the exit area, ; When the differential unit is in the entrance area, ; When the differential unit is in the middle area, ; is the integration constant, It can be obtained by solving the stress boundary of adjacent differential units; When the differential unit cell is a second type differential unit cell, the first average shear stress and the second average shear stress corresponding to the differential unit cell are substituted into the force balance differential equation. According to the stress boundary condition and the yield condition, the unit width rolling stress corresponding to the differential unit cell is derived as follows: (20) In formula (20), .
[0059] When the differential unit cell is a third type differential unit cell, the first average shear stress and the second average shear stress corresponding to the differential unit cell are substituted into the force balance differential equation. According to the stress boundary condition and the yield condition, the unit width rolling stress corresponding to the differential unit cell is derived as follows: (twenty one) In formula (21), ; ; ; .
[0060] When the differential element is the fourth type of differential element, substitute the first average shear stress and the second average shear stress corresponding to the differential element into the differential equation of force equilibrium. According to the stress boundary conditions and the yield condition, the rolling stress per unit width corresponding to the differential element is derived as follows: (22) In formula (22), ; ; .
[0061] Next, based on the demarcation information, use the formula (23) to calculate the rolling force per unit width; where is the rolling force per unit width. Among them, the value range of n is , is the total number of differential elements.
[0062] Finally, according to the formula: (24) calculate the rolling force of the entire deformation zone; where is the rolling force of the entire deformation zone.
[0063] As can be seen from the above, the embodiment of the present invention proposes a method for accurately predicting the rolling force in the rolling of corrugated roll-shaped metal composite plates, and the obtained rolling force is highly consistent with the actual value. This prediction technology is not only safe and reliable, with accurate calculations, but also easy to operate, has good programmability, and is convenient for analyzing the influence laws of various rolling process parameters on the rolling force. In addition, this method has no restrictions on the types of metal materials and can be widely applied to the prediction of the rolling force in the corrugated rolling process of various metal composite plates, which can save production investment costs and make the products better applied to actual production.
[0064] The following is a specific description in conjunction with Specific Embodiment 1.
[0065] In Specific Embodiment 1, the hard metal layer in the metal composite plate is a copper plate, and the soft metal layer is an aluminum plate. The obtained process parameters are: The inlet thickness of the copper plate ; The inlet thickness of the aluminum plate ; The width of the metal composite plate B = 50 mm, the outlet thickness of the copper plate ; The outlet thickness of the aluminum plate ; The front tension applied to the metal composite plate is ; The back tension applied to the metal composite plate ; The contact friction coefficient between the copper plate and the corrugated roll ; The friction coefficient between the aluminum plate and the flat roll ; Friction coefficient between copper plate and aluminum plate ; Equivalent rolling radius of the corrugation roller Equivalent rolling radius of flat roll ;Amplitude of the corrugations in the corrugation roller , the length of one corrugation cycle in the corrugation roller ; ; ; See also Figure 4 , based on a first neutral point on the flat roller and multiple second neutral points on the corrugated roller, the deformation zone is divided into , , , , , , There are seven differential units in total.
[0066] According to the above formula (4) and formula (5), the horizontal coordinate of the dividing point of each differential unit body is determined and the vertical coordinate ,as follows: , ; , ; , ; , ; , ; , ; , .
[0067] Then, the shape parameters of each differential unit cell are calculated according to formula (6) and formula (7), as follows: , ; , ; , ; , ; , ; , ; , .
[0068] Based on the relative positional relationship between each differential unit and the first neutral point and the state of each differential unit, the above 7 differential units are divided into 4 categories: the first type of differential unit (the differential unit is located on the left side of the first center point and is in a thickening state), the second type of differential unit (the differential unit is located on the right side of the first center point and is in a thickening state), the third type of differential unit (the differential unit is located on the left side of the first neutral point and is in a thinning state) and the fourth type of differential unit (the differential unit is located on the right side of the first neutral point and is in a thinning state). It should be emphasized that the first neutral point is the neutral point corresponding to the flat roller, and there is only one neutral point corresponding to the flat roller.
[0069] See also Figure 4 It can be seen that Figure 4 The copper / aluminum corrugated composite plate (hereinafter referred to as the differential unit cell as region) includes three second-type differential units (the differential unit cells are located on the right side of the first center point and are in a thickening state), three fourth-type differential units (the differential unit cells are located on the right side of the first neutral point and are in a thinning state) and one third-type differential unit cell (the differential unit cell is located on the left side of the first neutral point and is in a thinning state).
[0070] According to the process parameters, it can be calculated: ; ; ; ; ; .
[0071] Different types of differential units have different friction forces on the upper and lower surfaces, so the average shear stress on the side is also different. The specific method to solve the average shear stress on the side of the copper plate and the aluminum plate according to their positions is as follows: When the copper / aluminum metal composite plate is in the "thickening" state to the right of the neutral point of the flat roller, that is, when the differential unit body is the second type of differential unit body, the average shear stress on the side of the upper copper plate of the differential unit body is ; The average shear stress on the side of the lower aluminum plate of the differential unit ; When the copper / aluminum metal composite plate is in the "thinning" state to the left of the neutral point of the flat roller, that is, when the differential unit body is the third type of differential unit body, the average shear stress on the side of the upper copper plate of the differential unit body is Average shear stress on the side of the lower aluminum plate of the differential unit ; When the copper / aluminum metal composite plate is in the "thinning" state to the right of the neutral point of the flat roller, that is, when the differential unit body is the fourth type of differential unit body, the average shear stress on the side of the upper copper plate of the differential unit body is ; The average shear stress on the side of the lower aluminum plate of the differential unit .
[0072] In the first specific implementation, see Figure 4 The deformation zone of the copper / aluminum metal composite plate is divided into Ⅰ, Ⅱ, Ⅲ, Ⅳ, Ⅴ, Ⅵ and Ⅶ units. The unit width rolling stress of each differential unit is calculated according to the force balance differential equation, stress boundary conditions and yield conditions. as follows: Taking differential unit body VII as an example, the stress analysis process of differential unit body is illustrated. Differential unit body VII is a second type of differential unit body (differential unit body is located to the right of the first center point and is in a thickening state). The stress state of differential unit body VII is as follows: Figure 5 As shown, it is known that the friction stresses on the upper and lower surfaces of the gold are and , the friction stress at the bonding surface is The average value of the upper metal shear stress can be calculated according to formula (13): It is calculated that the average shear stress of the lower metal layer can be calculated according to formula (14): Calculated.
[0073] According to the force analysis of the differential unit body perpendicular to the rolling direction, the horizontal and vertical force balance differential equations of the upper and lower metal layers can be obtained as shown in Equations (25) and (26), respectively.
[0074] (25) (26) The solution is P. After combining (25) and 26, we get P. ; ; It represents the rolling pressure synthesized by contact pressure and friction stress, in Pa; It represents the contact angle between the upper surface of the copper layer and the surface of the corrugated roller; It represents the contact angle between the lower surface of the aluminum layer and the surface of the flat roller; Represents the contact angle between the lower surface of the copper layer and the upper surface of the aluminum layer.
[0075] Considering , h represents the height of the differential unit in the deformation zone, according to the yield criterion , combining equations (25) and (26) can obtain the differential equation of rolling pressure between the rollers of differential unit body VII as shown in equation (27). Equation (27) can be called the rolling pressure differential equation: (27) In formula (27): ; , ; ; ; Indicates the thickness ratio of the copper plate and the aluminum plate at the entrance, ; Indicates the thickness ratio of the copper plate and the aluminum plate at the exit position, .
[0076] Therefore, the differential equation of formula (27) is integrated and solved to obtain the rolling stress distribution between the rollers of the differential unit body VII: As shown in formula (28): (28) According to the stress boundary conditions, hour, , which means that at the rolling entrance area, the tension of the two layers of metal is equal to their initial tension. , the integral constant can be calculated As shown in formula (29).
[0077] (29); in, , , this area is at the rolling entrance area, and its shear yield stress is , the average shear stress on the side of the upper copper plate in this area is , the average shear stress on the side of the lower aluminum plate is .
[0078] The force analysis process of other differential units is the same as that of differential unit VII, so it will not be repeated below, but the results will be presented directly.
[0079] Differential unit VI ( ), differential unit VI is the fourth type of differential unit (the differential unit is located on the right side of the first neutral point and is in a thinning state), and its unit width rolling stress for: ; in, , ; ; .
[0080] The shear yield stress in the differential unit VI region is , the average shear stress on the side of the upper copper plate , the average shear stress on the side of the lower aluminum plate ; Integration constant The specific calculation method is as follows: .
[0081] Differential unit V ( ), the differential unit body V is the second type of differential unit body (the differential unit body is located on the right side of the first center point and is in a thickening state), and its unit width rolling stress for: ; in, The shear yield stress in this region is , the average shear stress on the side of the upper copper plate in this area is , the average shear stress on the side of the lower aluminum plate ; Integral constant The specific calculation method is as follows: .
[0082] Differential unit IV ( ), differential unit IV is the fourth type of differential unit (the differential unit is located on the right side of the first neutral point and is in a thinning state), and its unit width rolling stress for: ; in, , ; ; ; The shear yield stress in this region is , the average shear stress on the side of the upper copper plate in this area is , the average shear stress on the side of the lower aluminum plate ; Integral constant The specific calculation method is as follows: .
[0083] Differential unit III ( ), III differential unit body is the second type of differential unit body (the differential unit body is located on the right side of the first center point and is in a thickening state), and its unit width rolling stress for: ; in, , , the shear yield stress value in this area is , the average shear stress on the side of the upper copper plate in this area , the average shear stress on the side of the lower aluminum plate ; Integral constant The specific calculation method is as follows: .
[0084] Differential element II ( ), differential element II is the fourth type of differential element (the differential element is on the right side of the first neutral point and in the thinning state), and its rolling stress per unit width is: ; Among them, , , ; .
[0085] The shear yield stress value in this area is , the average shear stress on the side of the upper copper plate in this area , the average shear stress on the side of the lower aluminum plate ; Integral constant The specific calculation method is as follows: .
[0086] Differential element I ( ), differential element I is the third type of differential element (the differential element is on the left side of the first neutral point and in the thinning state), and its rolling stress per unit width is: ; Among them, ; ; ; ; This area is in the rolling exit area, and its shear yield stress value is , the average shear stress on the side of the upper copper plate in this area , the average shear stress on the side of the lower aluminum plate ; Integral constant The specific calculation method is as follows: .
[0087] Next, the position of the first neutral point is determined according to the stress boundary condition, and the unit width rolling force of the entire rolling deformation zone is solved after the position coordinates of each neutral point are obtained.
[0088] In the solution process, it is assumed that the neutral point of the flat roller is between differential unit body I and differential unit body II, that is, Through the stress boundary, it can be judged that the assumed position area is not appropriate. After another assumption, the neutral point position of the flat roller can be obtained. , .
[0089] Next, the unit width rolling force of the entire rolling deformation zone can be calculated as follows: .
[0090] Finally, according to the width B of the composite slab and the unit width rolling force of the entire deformation zone calculated in step 4.4, , the rolling force of the entire rolling deformation zone is calculated when the exit position is the trough position The same method can be used to obtain the exit position at the midpoint of the front wave waist. , the exit position is at the peak state The exit position is at the midpoint of the rear wave waist The dynamic rolling force during the entire rolling process is obtained through the above calculation method.
[0091] See also Figure 6 In order to verify the accuracy and reliability of the determination method provided by the present invention, the rolling force data is collected in real time by using a force sensor, and transmitted to the computer in real time through a signal collector, and the stable rolling stage is entered. The average rolling force of the experimental value and the model prediction value are 323.5kN and 314.1kN respectively, and the error between the average predicted rolling force and the experimental value is within 2.9%. It can be seen that the rolling force in the corrugated rolled metal composite plate predicted by the method proposed by the present invention has a high accuracy, the error is within the allowable range, and can be well applied in actual production.
[0092] The rolling force determining device in the corrugation roller rolling process provided by the present invention is described below. The rolling force determining device in the corrugation roller rolling process described below and the rolling force determining method in the corrugation roller rolling process described above can be referred to each other.
[0093] like Figure 7As shown in the figure, an embodiment of the present invention further provides a rolling force determination device in a corrugated roll rolling process, which is used to implement the rolling force determination method in the corrugated roll rolling process in any of the above embodiments. The rolling force determination device in the corrugated roll rolling process may include: an acquisition module 710, configured to acquire process parameters during the rolling process of the metal composite plate; the process parameters at least include the width of the metal composite plate; a first determination module 720, configured to determine a first neutral point corresponding to the flat roll and a second neutral point corresponding to the corrugated roll; a division module 730, configured to divide the deformation zone of the metal composite plate based on the first neutral point and the second neutral point to obtain a plurality of differential unit bodies; the deformation zone is the composite plate area where the metal composite plate contacts the flat roll; a second determination module 740, configured to determine the boundary information of each differential unit body based on the process parameters; the boundary information includes boundary coordinates and shape parameters; a third determination module 750, configured to determine the rolling force per unit width corresponding to the deformation zone by using the force balance differential equation based on the type and boundary information of each differential unit body; a fourth determination module 760, configured to determine the rolling force in the corrugated roll forming of the metal composite plate based on the rolling force per unit width and the width of the metal composite plate.
[0094] As Figure 8 shown in the figure, an embodiment of the present invention further provides an electronic device, which may include: a processor 810, a communication interface 820, a memory 830, and a communication bus. Among them, the processor 810, the communication interface 820, and the memory 830 complete mutual communication through the communication bus. A computer program that can be run by the processor 810 is stored on the memory 830; when the processor 810 runs the computer program, it can execute the rolling force determination method in the corrugated roll rolling process in any of the above embodiments.
[0095] Although the present invention is described in conjunction with various embodiments herein, however, in the process of implementing the claimed invention, those skilled in the art can understand and achieve other variations of the disclosed embodiments by viewing the drawings, the disclosed content, and the appended claims. In the claims, the word "comprising" does not exclude other components or steps, and "a" or "one" does not exclude a plurality of cases. A single processor or other unit can implement several functions recited in the claims. Certain measures are recited in mutually different dependent claims, but this does not mean that these measures cannot be combined to produce good results.
[0096] Although the present invention has been described in conjunction with specific features and embodiments thereof, it is apparent that various modifications and combinations may be made thereto without departing from the spirit and scope of the present invention. Accordingly, this specification and the accompanying drawings are merely exemplary illustrations of the present 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 present invention. Obviously, those skilled in the art may make various modifications and variations to the present invention without departing from the spirit and scope of the present invention. Thus, the present invention is intended to include such modifications and variations if they fall within the scope of the claims of the present invention and their equivalents.
Claims
1. A method for determining rolling force in a corrugation roller rolling process, characterized in that: include: Obtaining process parameters during the rolling process of metal composite plates; The process parameters include at least the width of the metal composite plate; Determine a first neutral point corresponding to the flat roller and a second neutral point corresponding to the corrugated roller; Based on the first neutral point and the second neutral point, the deformation zone of the metal composite plate is divided to obtain a plurality of differential unit bodies; the deformation zone is a composite plate area where the metal composite plate and the flat roller, and the metal composite plate and the corrugated roller are in contact; Based on the process parameters, determining the boundary information of each differential unit body; the boundary information includes boundary coordinates and shape parameters; Based on the type of each differential unit body and the boundary information, a force balance differential equation is used to determine the unit width rolling force corresponding to the deformation zone; Based on the rolling force per unit width and the width of the metal clad plate, a rolling force in corrugating roller forming the metal clad plate is determined.
2. The method for determining rolling force in a corrugation roller rolling process according to claim 1, characterized in that: Before determining the unit width rolling force corresponding to the deformation zone by using a force balance differential equation based on the type of each differential unit body and the boundary information, the method further includes: When the differential unit body is located on the left side of the first neutral point and is in a thickening state, determining the differential unit body as a first type of differential unit body; When the differential unit body is located on the right side of the first neutral point and is in a thickening state, determining the differential unit body as a second type differential unit body; When the differential unit body is located on the left side of the first neutral point and is in a thinned state, determining the differential unit body as a third type of differential unit body; When the differential unit cell is located on the right side of the first neutral point and is in a thinned state, the differential unit cell is determined as a fourth type differential unit cell.
3. The method for determining rolling force in a corrugation roller rolling process according to claim 2, characterized in that: The metal composite plate comprises a hard metal layer and a soft metal layer; The method of determining the unit width rolling force corresponding to the deformation zone by using a force balance differential equation based on the type of each differential unit body and the boundary information includes: determining a first contact friction stress between the hard metal layer and the corrugation roller; determining a second contact friction stress between the soft metal layer and the flat roller; determining a third contact friction stress between the hard metal layer and the soft metal layer; According to the type of each differential unit body, a first average shear stress corresponding to the hard metal layer in each differential unit body and a second average shear stress corresponding to the soft metal layer in each differential unit body are calculated based on the first contact friction stress, the second contact friction stress and the third contact friction stress; Based on the type of each differential unit body, the first average shear stress and the second average shear stress corresponding to each differential unit body are substituted into the force balance differential equation, and the unit width rolling stress corresponding to the differential unit body is derived according to the stress boundary condition and the yield condition; Based on the boundary information, the unit width rolling stresses of all differential unit bodies in the deformation zone are integrated and summed to obtain the unit width rolling force.
4. The method for determining rolling force in a corrugation roller rolling process according to claim 3, characterized in that: The process parameters also include: a first friction coefficient, a second friction coefficient and a third friction coefficient; The determining of a first contact friction stress between the hard metal layer and the corrugation roller comprises: Substituting the first friction coefficient into the formula: ; The first contact friction stress is calculated; wherein, is the first contact friction stress; is the first friction coefficient; The determining of the second contact friction stress between the soft metal layer and the flat roller comprises: Substituting the second friction coefficient into the formula: ; The second contact friction stress is calculated; wherein, is the second contact friction stress; is the second friction coefficient; The determining of the third contact friction stress between the hard metal layer and the soft metal layer comprises: Substituting the third friction coefficient into the formula: ; The third contact friction stress is obtained by calculation; wherein, is the third contact friction stress; is the third friction coefficient; in, ; ; ; ; ; is the deformation resistance of the hard metal layer; is the deformation resistance of the soft metal layer; is the inlet thickness of the soft metal layer; is the outlet thickness of the soft metal layer; is the inlet thickness of the hard metal layer; is the exit thickness of the hard metal layer.
5. The method for determining rolling force in a corrugation roller rolling process according to claim 4, characterized in that: The step of calculating, according to the type of each differential unit body, a first average shear stress corresponding to the hard metal layer in each differential unit body and a second average shear stress corresponding to the soft metal layer in each differential unit body based on the first contact friction stress, the second contact friction stress and the third contact friction stress comprises: For the first type of differential unit cell, the first contact friction stress and the second contact friction stress are substituted into the formula: ; The first average shear stress is calculated; wherein, is the first average shear stress; For the first type differential unit cell, the second contact friction stress and the third contact friction stress are substituted into the formula: ; The second average shear stress is calculated; wherein, is the second average shear stress; For the second type differential unit cell, the first contact friction stress and the second contact friction stress are substituted into the formula: ; Calculating and obtaining the first average shear stress; For the second type differential unit cell, the second contact friction stress and the third contact friction stress are substituted into the formula: ; Calculating and obtaining the second average shear stress; For the third type of differential unit cell, the first contact friction stress and the second contact friction stress are substituted into the formula: ; Calculating and obtaining the first average shear stress; For the third type of differential unit cell, the second contact friction stress and the third contact friction stress are substituted into the formula: ; Calculating and obtaining the second average shear stress; For the fourth type of differential unit cell, the first contact friction stress and the second contact friction stress are substituted into the formula: ; Calculating and obtaining the first average shear stress; For the fourth type of differential unit cell, the second contact friction stress and the third contact friction stress are substituted into the formula: ; The second average shear stress is calculated.
6. The method for determining rolling force in a corrugation roller rolling process according to claim 4, characterized in that: The process parameters also include the length of the corrugated composite plate, the equation of the upper surface of the corrugated composite plate in contact with the corrugating roller, and the equation of the lower surface of the corrugated composite plate in contact with the flat roller; the corrugated composite plate is a rolled metal composite plate; The upper surface equation is: ; The lower surface equation is: , ; in, , L is the length of the corrugated composite board; is the amplitude of the corrugation in the corrugation roller, is the length of one cycle of corrugation in the corrugation roller; represents a positive integer; The rolling force determination method further comprises: The amplitude of the corrugations in the corrugation roller and the length of one period of corrugations in the corrugation roller are extracted from the upper surface equation.
7. The method for determining rolling force in a corrugation roller rolling process according to claim 6, characterized in that: The process parameters also include: the equivalent rolling radius corresponding to the corrugated roller and the flat roller; The step of determining the boundary information of each differential unit body based on the process parameters includes: Substituting the equivalent rolling radius into the formula: ; Calculate the horizontal coordinate of the boundary; where, is the horizontal coordinate of the boundary; is the equivalent rolling radius; is the number of corrugations in the corrugation roller; n represents the nth differential unit body; Substituting the equivalent rolling radius into the formula: ; Calculate the boundary ordinate; where, is the dividing ordinate; is the outlet thickness of the metal composite plate; Using the formula: ; Calculate and obtain the first shape parameter; is the first shape parameter; Using the formula: ; The second shape parameter is calculated; is the second shape parameter.
8. The method for determining rolling force in a corrugation roller rolling process according to claim 3, characterized in that: The step of integrating and summing the unit width rolling stresses of all differential unit bodies in the deformation zone based on the boundary information to obtain the unit width rolling force comprises: Based on the demarcation information, the formula is adopted: ; The rolling force per unit width is calculated; wherein, is the rolling force per unit width; is the rolling stress per unit width of the nth differential unit body; U is the total number of differential unit bodies.
9. A rolling force determination device in a corrugation roller rolling process, characterized in that: include: An acquisition module, used to acquire process parameters during the rolling process of the metal composite plate; The process parameters include at least the width of the metal composite plate; A first determination module, used to determine a first neutral point corresponding to the flat roller and a second neutral point corresponding to the corrugated roller; A division module, used for dividing the deformation zone of the metal composite plate based on the first neutral point and the second neutral point to obtain a plurality of differential unit bodies; The deformation zone is the composite plate area where the metal composite plate contacts the flat roller; A second determination module is used to determine the boundary information of each differential unit body based on the process parameters; the boundary information includes boundary coordinates and shape parameters; A third determination module is used to determine the unit width rolling force corresponding to the deformation zone by using a force balance differential equation based on the type of each differential unit body and the boundary information; The fourth determination module is used to determine the rolling force in corrugating roller forming the metal composite plate based on the unit width rolling force and the width of the metal composite plate.
10. An electronic device, characterized in that: include: A processor, a communication interface, a memory and a communication bus; wherein the processor, the communication interface and the memory communicate via the communication bus; The memory stores a computer program that can be executed by the processor; when the processor executes the computer program, the method for determining the rolling force in the corrugation roller rolling process as described in any one of claims 1-8 is executed.
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