A method and device for predicting the stiffness of a vertical system of a rolling mill
By using finite element numerical simulation and materials mechanics methods, a rolling mill stiffness prediction model was established, which solved the problem of insufficient accuracy in calculating the stiffness of the rolling mill vertical system. This enabled more efficient and accurate prediction of the rolling mill vertical system stiffness, supporting factory design and equipment manufacturing.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2022-09-15
- Publication Date
- 2026-04-07
AI Technical Summary
In the existing technology, the theoretical calculation accuracy of the vertical system stiffness of the rolling mill is insufficient, which cannot meet the production and design requirements. Furthermore, the applicable range of the vertical system stiffness is narrow and the application efficiency is low.
By employing finite element numerical simulation technology combined with materials mechanics and elasticity, a mill stiffness prediction model is established. By acquiring the mill's basic and design data, the stiffness of the mill's vertical system is predicted, including sub-models predicting the deformation of components such as the roll system, bearing housing, pressing system, and pads, thereby improving calculation accuracy and efficiency.
It improves the accuracy and efficiency of rolling mill vertical system stiffness prediction, has a wider range of applications, and can quickly obtain accurate rolling mill vertical system stiffness data under different process conditions, supporting factory design and equipment manufacturing.
Smart Images

Figure CN117732889B_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of computer-aided design technology, and specifically to a method and apparatus for predicting the stiffness of a rolling mill vertical system. Background Technology
[0002] In the process and equipment design of four-high rolling mills, mill stiffness is an important parameter characterizing the structural performance of the mill and is also important data for realizing automatic adjustment of workpiece thickness and computer control. Accurate calculation of mill stiffness is crucial for controlling product precision.
[0003] Currently, there is considerable research on the elastic deformation of rolling mills, but there is no precise theoretical calculation method for the overall stiffness and elastic deformation of rolling mills. They can only be approximated using formulas from mechanics of materials and elasticity, which, while describing the stiffness characteristic curves of each structural unit, deviate significantly from reality. Due to the highly complex shapes and stress conditions of the components in thick plate rolling mills, and the gaps between the contact surfaces of related components, the theoretical calculation accuracy of rolling mill stiffness and elastic deformation cannot meet the needs of production and design. Design and manufacturing companies primarily rely on rolling mill pressure tests for measurement, and then use the measured results as the basis for related process design and equipment manufacturing. However, rolling mill stiffness data obtained from stiffness measurement tests or production data is only suitable for predicting the vertical system stiffness of a specific piece of equipment under specific environmental and production conditions. Its applicability is narrow, and the efficiency of obtaining the vertical system stiffness of the rolling mill is low. Summary of the Invention
[0004] To address the problems in the prior art, embodiments of the present invention provide a method and apparatus for predicting the stiffness of a rolling mill vertical system, which can at least partially solve the problems existing in the prior art.
[0005] In a first aspect, the present invention proposes a method for predicting the stiffness of a rolling mill vertical system, comprising:
[0006] Obtain basic and design data for the rolling mill;
[0007] Based on the basic data and design data of the rolling mill and the rolling mill stiffness prediction model, the vertical system stiffness of the rolling mill is predicted; wherein, the rolling mill stiffness prediction model is established in advance.
[0008] Secondly, the present invention provides a device for predicting the stiffness of a rolling mill vertical system, comprising:
[0009] The acquisition unit is used to acquire the basic and design data of the rolling mill.
[0010] The prediction unit is used to predict the vertical system stiffness of the rolling mill based on the basic data and design data of the rolling mill and the rolling mill stiffness prediction model; wherein the rolling mill stiffness prediction model is pre-established.
[0011] Thirdly, the present invention provides a computer device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the method for predicting the stiffness of the vertical rolling mill system as described in any of the above embodiments.
[0012] Fourthly, the present invention provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the method for predicting the stiffness of the vertical rolling mill system as described in any of the above embodiments.
[0013] Fifthly, the present invention provides a computer program product, the computer program product comprising a computer program, which, when executed by a processor, implements the method for predicting the stiffness of the vertical system of a rolling mill as described in any of the above embodiments.
[0014] The method and apparatus for predicting the vertical system stiffness of a rolling mill provided in this invention acquire the basic data and design data of the rolling mill; based on the basic data and design data of the rolling mill and the rolling mill stiffness prediction model, the vertical system stiffness of the rolling mill is predicted, thereby improving the accuracy and efficiency of the prediction of the vertical system stiffness of the rolling mill. Attached Figure Description
[0015] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort. In the drawings:
[0016] Figure 1 This is a flowchart illustrating the method for predicting the stiffness of a rolling mill vertical system provided in the first embodiment of the present invention.
[0017] Figure 2 This is a partial structural schematic diagram of the roller system finite element model provided in the second embodiment of the present invention.
[0018] Figure 3 This is the relationship curve between rolling force and elastic deformation provided in the third embodiment of the present invention.
[0019] Figure 4 This is the curve showing the relationship between the width of the rolled piece and the stiffness of the vertical system of the four-wheel rolling mill, provided in the fourth embodiment of the present invention.
[0020] Figure 5This is a schematic diagram of the structure of the rolling mill vertical system stiffness prediction device provided in the fifth embodiment of the present invention.
[0021] Figure 6 This is a schematic diagram of the structure of the rolling mill vertical system stiffness prediction device provided in the sixth embodiment of the present invention.
[0022] Figure 7 This is a schematic diagram of the physical structure of the electronic device provided in the seventh embodiment of the present invention. Detailed Implementation
[0023] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the embodiments of the present invention will be further described in detail below with reference to the accompanying drawings. Here, the illustrative embodiments and descriptions of the present invention are used to explain the present invention, but are not intended to limit the present invention. It should be noted that, unless otherwise specified, the embodiments and features in the embodiments of this application can be arbitrarily combined with each other.
[0024] To facilitate understanding of the technical solution provided in this application, the relevant content of the technical solution in this application will be explained below.
[0025] For thick plate mill design and equipment manufacturing enterprises, it is necessary to compare and analyze multiple types of rolling mills, rolling mills with different process parameters and production conditions to obtain the optimal design and manufacturing scheme. Modern numerical simulation technology, represented by the finite element method, can accurately construct the mechanical model of the rolling mill structure, thereby accurately simulating and calculating the stiffness characteristics of the rolling mill structure. However, directly implemented numerical simulation methods have high requirements for computing resources and long calculation cycles, and cannot well adapt to the accurate and efficient evaluation and analysis of large-scale four-high rolling mills with different structural and process parameter conditions in factory design and equipment manufacturing.
[0026] During the thick plate rolling process, the elastic deformation of the rolling mill mainly includes: elastic deformation of the roll system, the arch, bearings, the pressing system, and other components. The deformation and stress conditions of the roll system, arch, bearings, pressing system, and other components of the rolling mill during thick plate production are very complex, and gaps exist between the contact surfaces of various components. Therefore, there is no precise theoretical calculation method for the overall stiffness or elastic deformation of the rolling mill. This invention uses relevant theories such as mechanics of materials, elasticity, and the influence function method to calculate the stiffness and elastic deformation of a four-high rolling mill.
[0027] This invention proposes a method for predicting the stiffness of the vertical system of a rolling mill. It provides a comprehensive and systematic analysis of the stiffness calculation problem of the vertical system of a four-high rolling mill for thick plates. Based on the calculation method of elastic deformation theory, it fully integrates finite element numerical simulation data, which can accurately describe the changing trend of the structural stiffness characteristics of the vertical system of each component of the four-high rolling mill with the parameters of each equipment and process conditions, thereby improving the accuracy and efficiency of the prediction of the stiffness of the vertical system of the rolling mill.
[0028] The execution subject of the method for predicting the stiffness of the vertical system of a rolling mill provided in this embodiment of the invention includes, but is not limited to, a server.
[0029] Figure 1 This is a flowchart illustrating the method for predicting the stiffness of a rolling mill vertical system provided in the first embodiment of the present invention, as shown below. Figure 1 As shown, the method for predicting the stiffness of a rolling mill vertical system provided in this embodiment of the invention includes:
[0030] S101. Obtain the basic and design data of the rolling mill;
[0031] Specifically, the server can obtain the basic and design data of the rolling mill. The basic data includes, but is not limited to, rolling mill equipment parameters and rolling mill process parameters. Rolling mill equipment parameters include the height and width of the mill stand, the cross-sectional area of the columns, the diameter of the rolls, the length of the roll body, the bearing seat spacing, and the roll opening degree, etc., which are selected according to actual needs; this embodiment of the invention does not impose limitations. Rolling mill process parameters include rolling force, reduction, and workpiece width, etc., which are selected according to actual needs; this embodiment of the invention does not impose limitations. The rolling mill design data includes, but is not limited to, the diameter of the work rolls, the diameter of the support rolls, the rolling force, and the workpiece width, etc., which are set by the designers according to actual needs.
[0032] S102. Based on the basic data and design data of the rolling mill and the rolling mill stiffness prediction model, predict the vertical system stiffness of the rolling mill; wherein, the rolling mill stiffness prediction model is established in advance.
[0033] Specifically, the server inputs the basic and design data of the rolling mill into the rolling mill stiffness prediction model, which can predict the vertical system stiffness of the rolling mill. The rolling mill stiffness prediction model is pre-established. In actual use, the design data can be adjusted to quickly obtain the vertical system stiffness of the rolling mill under different design data.
[0034] For example, by using the work roll diameter, support roll diameter, rolling force, and workpiece width as design data, the work roll diameter, support roll diameter, and rolling force can be kept constant. By changing the workpiece width, the vertical system stiffness of the mill corresponding to different workpiece widths can be obtained.
[0035] The method for predicting the vertical system stiffness of a rolling mill provided in this invention acquires the basic data and design data of the rolling mill; based on the basic data, design data, and a rolling mill stiffness prediction model, it predicts the vertical system stiffness of the rolling mill, improving the accuracy and efficiency of vertical system stiffness prediction. Furthermore, since the design data can be modified according to actual needs, its applicability is expanded.
[0036] Based on the above embodiments, the mill stiffness prediction model further includes multiple component deformation prediction sub-models, each component deformation prediction sub-model predicts the deformation of the corresponding component, and the vertical system stiffness of the mill is equal to the rolling force divided by the sum of the deformations of each component.
[0037] Specifically, the rolling mill includes components such as the roll system, pads, arch, pressing system, and bearing housing. Deformation prediction sub-models for each component can be pre-established, each sub-model used to predict the component's deformation. The deformation of each component is predicted using these sub-models, and then the deformations of all components are summed to obtain the total deformation of the rolling mill. Dividing the rolling force by the total deformation yields the vertical system stiffness of the rolling mill.
[0038] Based on the above embodiments, the plurality of component deformation prediction sub-models further include a roller system deformation prediction sub-model, which includes:
[0039]
[0040]
[0041]
[0042]
[0043]
[0044]
[0045]
[0046]
[0047] in, This indicates the amount of deformation of the roller system. Indicates rolling force. This indicates the elastic deformation of the roller system. Indicates the rolling force of the roll system The estimated error between the theoretical deformation and the actual deformation is calculated using a formula obtained in advance. This indicates the bending deformation of the support roller body. This indicates the elastic flattening between the support roller and the work roller. This indicates the elastic flattening between the work roll and the workpiece. This represents the bending deformation caused by the bending moment. This indicates the bending deformation caused by the shear force. This represents the bending moment at any cross-section of the supporting roller body. This indicates the elastic modulus of the support roller. This represents the shear force at any cross-section of the supporting roller body. The moment of inertia represents any cross-section of the supporting roller body. This represents the shear modulus of elasticity of the support roller. This represents the cross-sectional area of any section of the support roller body. , This indicates the Poisson's ratio of the work roll. This indicates the elastic modulus of the work roll. This indicates the elastic modulus of the support roller. Represents pi (π). , This indicates the unit load between the rollers. Indicates the length of the support roller body. It is a constant. Indicates the diameter of the work roll. Indicates the diameter of the support roller. Indicates the width of the rolled piece. Indicates the contact arc length of the roll. , Indicates the radius of the working roller. Indicates the thickness of the rolled piece due to deformation. It is a constant. Indicates the width of the rolled piece. and It is a constant.
[0048] Specifically, the elastic deformation of the roll system (roll system) of a four-high rolling mill includes the bending deformation of the support rolls, the elastic flattening between the support rolls and the work rolls, and the elastic flattening between the work rolls and the workpiece. The elastic deformation of the roll system can be calculated using the following formula:
[0049]
[0050] in, This represents the theoretical elastic deformation of the roller system. This indicates the bending deformation of the support roller body. This indicates the elastic flattening between the support roller and the work roller. This indicates the elastic flattening between the work roll and the workpiece.
[0051] When calculating the bending deformation of the support roller body, since the diameter of the support roller is relatively large compared to the length of the roller body, the influence of the shearing force needs to be considered. Therefore, the bending deformation of the support roller includes two parts: the bending deformation caused by the bending moment and the bending deformation caused by the shearing force.
[0052]
[0053] in, This represents the bending deformation caused by the bending moment. This indicates bending deformation caused by shear force.
[0054] According to Castiglione's theorem, we can obtain:
[0055]
[0056]
[0057] in, This represents the bending moment at any cross-section of the supporting roller body. This indicates the elastic modulus of the support roller. This represents the shear force at any cross-section of the supporting roller body. The moment of inertia represents any cross-section of the supporting roller body. This represents the shear modulus of elasticity of the support roller. This represents the cross-sectional area of any section of the support roller body.
[0058] According to Hertz's theorem, the elastic flattening between the work roll and the support roll can be derived as follows:
[0059]
[0060]
[0061]
[0062] in, This indicates the Poisson's ratio of the work roll. This indicates the elastic modulus of the work roll. This indicates the elastic modulus of the support roller. Represents pi (π). This indicates the unit load between the rollers. Indicates the length of the support roller body. Indicates the diameter of the work roll. Indicates the diameter of the support roller. It is a constant. The specific value is set based on practical experience, for example, set to .
[0063] During dynamic operation of the rolling mill, there is elastic flattening between the rolls and the workpiece. During rolling, the work rolls and the workpiece will experience elastic flattening in the deformation zone, the value of which can be calculated using the following formula:
[0064]
[0065] in, Indicates rolling force. This indicates the Poisson's ratio of the work roll. This indicates the elastic modulus of the work roll. Indicates the width of the rolled piece. Indicates the contact arc length of the roll. , Indicates the radius of the working roller. , Indicates the thickness of the rolled piece due to deformation. It is a constant. The specific value is set based on actual experience, for example, it is set to 0.612, but this embodiment of the invention does not limit it.
[0066] Indicates the rolling force of the roll system The estimated error between the theoretical and actual deformation is calculated using a pre-obtained formula. For the roll system components of the rolling mill's vertical system, multiple sets of design parameters are defined as model structural parameters for the roll system finite element modeling within the range of variations in structural and process design variables using orthogonal experimental design. A series of roll system finite element numerical simulation models based on the above multiple sets of model structural parameters are established, and rolling force loading calculations are performed to obtain the relationship data between the roll system rolling force and its deformation under each set of model structural parameter conditions. The theoretical elastic deformation of the roll system is also calculated. Finite element analysis of elastic deformation of roller system The error between them is expressed as ,Right now The theoretical elastic deformation of the rolling mill roll system under multiple sets of design parameters was obtained. With respect to the actual elastic deformation of the roller system The difference data, with the design variable as the independent variable, is used to... By performing polynomial fitting, the design variables and The polynomial relationship function between them, through the formula Verify whether the error of the polynomial relation function meets the design requirements. It is a constant, for example, 0.05. If If the error is within the set range, then there is no need to compare the obtained design variables with... Adjust the polynomial relation function between them, and use the obtained polynomial relation function as... The calculation formula. If If it's outside the set error range, then it needs to be readjusted. Perform polynomial fitting.
[0067] In this embodiment of the invention, the design variable is the diameter of the support roller. Working roll diameter width of rolled piece and rolling force Given a support roller diameter Working roll diameter width of rolled piece and rolling force In this case, it can be achieved through the above The calculation formula is used to obtain The value. By estimating the error. The theoretical elastic deformation of the roller system is corrected to obtain the deformation amount of the roller system, thereby improving the accuracy of the deformation amount of the roller system.
[0068] In obtaining the deformation of the roller system The stiffness of the roller system can then be calculated separately using the following formula. .
[0069]
[0070] in, Indicates the stiffness of the roller system. This indicates the amount of deformation of the roller system. This indicates the rolling force.
[0071] Based on the above embodiments, the plurality of component deformation prediction sub-models further include a bearing housing deformation prediction sub-model, which includes:
[0072]
[0073] in, This indicates the amount of deformation of the bearing housing. Indicates rolling force. This indicates the measured height of the deformed portion of the upper bearing housing. This indicates the measured height of the deformed portion of the upper bearing housing. This indicates the measured height of the deformed portion of the lower bearing housing. This indicates the measured height of the deformed portion of the lower bearing housing. This indicates the measured width of the deformed portion of the upper bearing housing. This indicates the measured width of the deformed portion of the upper bearing housing. This indicates the measured width of the deformed portion of the lower bearing housing. This indicates the measured width of the deformed portion of the lower bearing housing. Indicates the thickness of the bearing housing. This indicates the elastic modulus of the bearing housing.
[0074] In obtaining the deformation of the bearing housing The stiffness of the bearing housing can then be calculated separately using the following formula. .
[0075]
[0076] in, Indicates the stiffness of the bearing housing. This indicates the rolling force.
[0077] Based on the above embodiments, the plurality of component deformation prediction sub-models further include a compression system deformation prediction sub-model, which includes:
[0078]
[0079]
[0080]
[0081]
[0082] in, This represents the total elastic deformation of the compressed system. Indicates rolling force. This indicates the compression deformation of the cantilevered portion of the screw being pressed down. This indicates the compression deformation of the mating part between the screw and the nut. This indicates the compressive deformation of the pressed-down nut. This indicates the elastic modulus of the screw when it is depressed. Indicates the height of the screw tip when pressed down. This indicates the thread height of the cantilevered portion of the screw. Indicates the diameter of the screw tip. Indicates the pitch diameter of the screw thread. Indicates the height of the pressed-down nut. This indicates the elastic modulus of the compressed nut. Indicates the outer diameter of the pressed-down nut. It represents pi (π).
[0083] Specifically, the total elastic deformation of the pressing system includes the compressive deformation of the cantilever portion of the pressing screw. Compression deformation of the mating part of the screw and nut And the compression deformation of the pressing nut .
[0084] To obtain the total elastic deformation of the compression system The stiffness of the compression system can then be calculated separately using the following formula. .
[0085]
[0086] in, This indicates the stiffness of the compressed system. This indicates the rolling force.
[0087] Based on the above embodiments, the plurality of component deformation prediction sub-models further include a pad block deformation prediction sub-model, which includes:
[0088]
[0089] in, This indicates the elastic deformation of the pad. Indicates rolling force. Indicates the frame's elastic modulus. Indicates the length of the pad block. Width of the pad, This indicates the height of the pad block.
[0090] To obtain the elastic deformation of the pad The stiffness of the pad can then be calculated separately using the following formula. .
[0091]
[0092] in, This indicates the stiffness of the pad block. This indicates the rolling force.
[0093] Based on the above embodiments, the plurality of component deformation prediction sub-models further include an archway stiffness prediction sub-model, which includes:
[0094]
[0095]
[0096]
[0097]
[0098]
[0099] in, This indicates the elastic deformation of the archway. Indicates rolling force. This indicates the total bending deformation of the archway's crossbeam. This indicates the tensile deformation of the archway pillars caused by axial force. This represents the bending deformation of the beam caused by the bending moment. This indicates the bending deformation of the beam caused by the shear force. Indicates the height of the archway pillars. Indicates the length of the archway pillars. This indicates the width of the archway pillars. Indicates the frame's elastic modulus. Indicates the length of the archway's crossbeam. Indicates the height of the archway's crossbeam. This indicates the width of the crossbeam of the archway. This indicates the frame shear modulus.
[0100] In obtaining the elastic deformation of the archway The stiffness of the pad can then be calculated separately using the following formula. .
[0101]
[0102] in, This indicates the stiffness of the pad block. This indicates the rolling force.
[0103] The deformation of the bearing housing, the total elastic deformation of the pressing system, the elastic deformation of the pad block, and the elastic deformation of the archway were compared with the theoretical calculation results by finite element analysis. The difference between the calculation results was small, so the deformation could be directly calculated using theoretical formulas.
[0104] Based on the above embodiments, the method for predicting the stiffness of a rolling mill vertical system provided in this embodiment of the invention further includes:
[0105] The stiffness of each component is obtained based on the rolling force and the amount of deformation of each component.
[0106] Specifically, after the server predicts the deformation of the corresponding component through the deformation prediction sub-model of each component, it can obtain the stiffness of each component based on the rolling force and the deformation of each component.
[0107] The following example, using the prediction of the vertical system stiffness of a four-high rolling mill, illustrates the specific implementation process of the method for predicting the vertical system stiffness of a rolling mill provided in this embodiment of the invention.
[0108] For the roll system components of a four-high rolling mill's vertical system, the work roll diameter is set. Support roller diameter These are structural design variables. Among them, The variation range is 900~1300 mm. The variation range is 2098~2600 mm. Set the length of the work roll. The support roller length is 3000 mm. The width is set to 2900 mm. and rolling force The two parameters are process design variables. Among them, The variation range is 1750~2500 mm. The variation range is 0~8000 t. The workpiece thickness is set at 20 mm. The work roll diameter... Support roller diameter , width of rolled piece and rolling force For design data.
[0109] Roller system materials: Both the support roller and the work roller are made of cast steel. Their material properties are: density ρ = 7.85 × 10³ kg / m³, elastic modulus E = 210 GPa, shear modulus G = 8.14 × 10⁴ MPa, and Poisson's ratio μ = 0.3.
[0110] The rolled piece is an elastoplastic material with the following characteristics: density ρ = 7.85 × 10³ kg / m³, elastic modulus E = 100 GPa, Poisson's ratio μ = 0.3, and yield strength... = 66 MPa.
[0111] A series of finite element models of roller systems were established. The dimensional parameters of the established models were determined by the variation range of the structural design variables and process design variables mentioned above. Several sets of parameters were selected within the variation range, and the structural parameters of the finite element models were specified by orthogonal experimental design, as shown in Table 1.
[0112] Table 1 Structural parameters of the finite element model of the roller system
[0113]
[0114] Other structural parameters are fixed, including the length of the work roll. The support roller length is 3000 mm. The diameter is 2900 mm and the thickness of the rolled piece is 20 mm.
[0115] Figure 2 This is a partial structural schematic diagram of the roller system finite element model provided in the second embodiment of the present invention, as shown below. Figure 2 As shown, 1 represents the diameter of the support roll, 2 represents the diameter of the work roll, 3 represents the width of the sheet metal, 4 represents the length of the support roll, 5 represents the length of the work roll, and 6 is the reference point, located at the center of the support roll diameter. The material properties of the roll system and the rolled piece are set as described above. The mesh is generated using hexahedral elements, with further subdivision in the contact area. Boundary conditions are: the reference point is coupled to the support roll neck motion, restricting U1, U2, U3, UR1, UR2, and UR3. Symmetrical constraints are applied to the roll system boundaries: U3 and UR1. Load: A rolling force is applied at reference point 6 along the negative X-axis direction. Wherein, U1: restricts the support roller to move in the Y-axis direction; U2: restricts the work roller to move in the Y-axis direction; U3: restricts the steel plate to move in the Y-axis direction; UR1: restricts the support roller to rotate around the X-axis direction; UR2: restricts the work roller to rotate around the X-axis direction; UR3: restricts the steel plate to rotate around the X-axis direction.
[0116] By performing finite element analysis on the above 24 models, the relationship between the rolling force and deformation of the roll system can be obtained, i.e., the deformation of the roll system under each rolling force. Then, by establishing a theoretical prediction model for the deformation of the roll system components, i.e., a roll system deformation prediction sub-model, the theoretical elastic deformation of the roll system in the above 24 models can be obtained using the roll system deformation prediction sub-model. The theoretical elastic deformation is then calculated. With finite element analysis of elastic deformation The difference, Elastic deformation in finite element analysis refers to the amount of deformation obtained through finite element analysis.
[0117] For example, using the diameter of the support roller Working roll diameter width of rolled piece Taking Model 1 as an example, the relationship between rolling force and elastic deformation in finite element analysis and theoretical elastic deformation is obtained, such as... Figure 3 As shown, curve 7 is the relationship curve between rolling force and theoretical elastic deformation under theoretical calculation, curve 8 is the relationship curve between rolling force and elastic deformation under finite element analysis, and curve 9 represents the difference between the two under a certain rolling force.
[0118] With the diameter of the working roll Support roller diameter , width of rolled piece Rolling force For Yuan, to A fourth-order polynomial fit was performed, and the fitting result is as follows:
[0119]
[0120] Input working roll diameter Support roller diameter , width of rolled piece Rolling force You can get .
[0121] Through formula Calculate the above The error in the calculation formula, Within the set error range, the above The calculation formula meets the accuracy requirements.
[0122] In this embodiment of the invention, the prediction of the vertical system stiffness of the four-roll mill involves the prediction of the deformation of the roll system, the prediction of the deformation of the bearing housing, the prediction of the total elastic deformation of the pressing system, the prediction of the elastic deformation of the pad block, and the prediction of the elastic deformation of the archway.
[0123] With the diameter of the working roll Support roller diameter , width of rolled piece Rolling force The working roll diameter is a design variable. Support roller diameter , width of rolled piece Rolling force The corresponding values are the design data. In the sub-models for predicting roll deformation, bearing housing deformation, pressing system deformation, pad block deformation, and archway deformation, the formulas for each model, except for the working roll diameter... Support roller diameter , width of rolled piece Rolling force All parameter values other than constants are used as the basic data for the four-wheel rolling mill.
[0124] Take rolling force Under the given conditions, calculate the deformation of the bearing housing of the four-wheel rolling mill. Total elastic deformation of the compression system Elastic deformation of the pad Elastic deformation of the archway .
[0125] For the bearing housing of a four-wheel rolling mill, obtain the measured height of the deformed portion of the upper bearing housing. Height of the deformed part of the upper bearing housing Height of the deformed part of the lower bearing housing Height of the deformed part of the lower bearing housing Width of the deformed portion of the upper bearing housing Width of the deformed portion of the upper bearing housing Width of the deformed portion of the lower bearing housing Width of the deformed portion of the lower bearing housing The thickness of the bearing housing The elastic modulus of the bearing housing Then calculate the deformation of the bearing housing. =0.0166mm.
[0126] For the pressing system of a four-wheel rolling mill, the elastic modulus of the pressing screw is obtained. The elastic modulus of the compressed nut Press down the screw end (unthreaded part) height The thread height of the cantilevered portion of the screw. The diameter of the screw tip (unthreaded part) is... Press down the screw thread pitch diameter Press the nut down to its maximum height Press down the outer diameter of the nut .
[0127] Calculate the compressive deformation of the cantilever section of the screw. =0.0242mm, calculate the compressive deformation of the mating part of the screw and nut. =0.0379mm, calculate the compressive deformation of the pressed-down nut. =0.0193mm, then the total elastic deformation of the compression system is... =0.0814mm.
[0128] For the reduction system of a four-wheel rolling mill, obtain the elastic modulus of the stand. Length of pad , width of pad shim height Then calculate the elastic deformation of the pad. =0.03mm.
[0129] For the archway of the four-wheel rolling mill, obtain the height of the archway pillars. , Length of the archway pillars The width of the archway pillars =790mm, frame elastic modulus The length of the archway's crossbeam =4000mm, height of the archway's crossbeam The width of the archway's crossbeam Frame shear modulus .
[0130] Calculate the bending deformation of the beam caused by bending moment. =0.1748mm, calculate the bending deformation of the beam caused by the shear force. Calculate the total bending deformation of the archway beam. =0.3291mm, calculate the tensile deformation of the archway column caused by axial force. So, what about the elastic deformation of the archway? .
[0131] For the roll system of a four-roll mill, the working roll diameter is set. Support roller diameter and the width of the rolled piece By obtaining the specific values of the relevant parameters in each formula of the roll system deformation prediction sub-model, the theoretical elastic deformation of the roll system can be calculated. , Substitute the working roll diameter Support roller diameter , width of rolled piece and rolling force The specific value can be calculated. Finally, the deformation of the roller system was calculated. .
[0132] Total deformation of a four-wheel rolling mill Stiffness of the vertical system of a four-wheel rolling mill .
[0133] By adjusting the diameter of the work roller Support roller diameter , width of rolled piece and rolling force The values of these four design variables can be used to obtain the stiffness of the vertical system of the four-wheel rolling mill under different conditions.
[0134] For example, setting the diameter of the work roll 900mm, support roller diameter 2600mm, rolling force 3000t, change the width of the rolled piece By repeating the above calculation process, the vertical system stiffness of the four-wheel rolling mill corresponding to different workpiece widths can be obtained, such as... Figure 4 As shown, the horizontal axis represents the width of the rolled piece, and the vertical axis represents the stiffness of the four-wheel mill vertical system.
[0135] This invention focuses on the research and development of the structural stiffness of the vertical system of a four-high rolling mill. Using the method for predicting the stiffness of the vertical system of the rolling mill provided in the embodiments of this invention, the prediction accuracy and calculation efficiency of the structural stiffness of each component of the vertical system of a four-high rolling mill for thick plates can be improved. In the factory design stage of thick plates, under different product outlines, process conditions and equipment structure conditions, it can provide higher calculation accuracy and theoretical support for rolling process design and equipment design.
[0136] Figure 5 This is a schematic diagram of the structure of the mill vertical system stiffness prediction device provided in the fifth embodiment of the present invention, as shown below. Figure 5 As shown, the rolling mill vertical system stiffness prediction device provided in this embodiment of the invention includes an acquisition unit 501 and a prediction unit 502, wherein:
[0137] The acquisition unit 501 is used to acquire the basic data and design data of the rolling mill; the prediction unit 502 is used to predict the vertical system stiffness of the rolling mill based on the basic data and design data of the rolling mill and the rolling mill stiffness prediction model; wherein, the rolling mill stiffness prediction model is pre-established.
[0138] Specifically, the acquisition unit 501 can acquire the basic data and design data of the rolling mill. The basic data includes, but is not limited to, rolling mill equipment parameters and rolling mill process parameters. Rolling mill equipment parameters include the height and width of the mill stand, the cross-sectional area of the columns, the diameter of the rolls, the length of the roll body, the bearing seat spacing, and the roll opening degree, etc., which are selected according to actual needs; this embodiment of the invention does not impose limitations. Rolling mill process parameters include rolling force, reduction, and workpiece width, etc., which are selected according to actual needs; this embodiment of the invention does not impose limitations. The rolling mill design data includes, but is not limited to, the diameter of the work rolls, the diameter of the support rolls, the rolling force, and the workpiece width, etc., which are set by the designers according to actual needs.
[0139] The prediction unit 502 inputs the basic data and design data of the rolling mill into the rolling mill stiffness prediction model, which can predict the vertical system stiffness of the rolling mill. The rolling mill stiffness prediction model is pre-established. In actual use, the design data can be adjusted to quickly obtain the vertical system stiffness of the rolling mill under different design data.
[0140] The rolling mill vertical system stiffness prediction device provided in this embodiment of the invention acquires the basic data and design data of the rolling mill; based on the basic data and design data of the rolling mill and the rolling mill stiffness prediction model, it predicts the vertical system stiffness of the rolling mill, thereby improving the accuracy and efficiency of the rolling mill vertical system stiffness prediction.
[0141] Based on the above embodiments, the mill stiffness prediction model further includes multiple component deformation prediction sub-models, each component deformation prediction sub-model predicts the deformation of the corresponding component, and the mill roll system stiffness is equal to the rolling force divided by the sum of the deformations of each component.
[0142] Based on the above embodiments, the plurality of component deformation prediction sub-models further include a roller system deformation prediction sub-model, which includes:
[0143]
[0144]
[0145]
[0146]
[0147]
[0148]
[0149]
[0150]
[0151] in, This indicates the amount of deformation of the roller system. Indicates rolling force. This represents the theoretical elastic deformation of the roller system. Indicates the rolling force of the roll system The estimated error between the theoretical deformation and the actual deformation is calculated using a formula obtained in advance. This indicates the bending deformation of the support roller body. This indicates the elastic flattening between the support roller and the work roller. This indicates the elastic flattening between the work roll and the workpiece. This represents the bending deformation caused by the bending moment. This indicates the bending deformation caused by the shear force. This represents the bending moment at any cross-section of the supporting roller body. This indicates the elastic modulus of the support roller. This represents the shear force at any cross-section of the supporting roller body. The moment of inertia represents any cross-section of the supporting roller body. This represents the shear modulus of elasticity of the support roller. This represents the cross-sectional area of any section of the support roller body. , This indicates the Poisson's ratio of the work roll. This indicates the elastic modulus of the work roll. This indicates the elastic modulus of the support roller. Represents pi (π). , This indicates the unit load between the rollers. Indicates the length of the support roller body. It is a constant. Indicates the diameter of the work roll. Indicates the diameter of the support roller. Indicates the width of the rolled piece. Indicates the contact arc length of the roll. , Indicates the radius of the working roller. Indicates the thickness of the rolled piece due to deformation. It is a constant. Indicates the width of the rolled piece. and It is a constant.
[0152] Based on the above embodiments, the plurality of component deformation prediction sub-models further include a bearing housing deformation prediction sub-model, which includes:
[0153]
[0154] in, This indicates the amount of deformation of the bearing housing. Indicates rolling force. This indicates the measured height of the deformed portion of the upper bearing housing. This indicates the measured height of the deformed portion of the upper bearing housing. This indicates the measured height of the deformed portion of the lower bearing housing. This indicates the measured height of the deformed portion of the lower bearing housing. This indicates the measured width of the deformed portion of the upper bearing housing. This indicates the measured width of the deformed portion of the upper bearing housing. This indicates the measured width of the deformed portion of the lower bearing housing. This indicates the measured width of the deformed portion of the lower bearing housing. Indicates the thickness of the bearing housing. This indicates the elastic modulus of the bearing housing.
[0155] Based on the above embodiments, the plurality of component deformation prediction sub-models further include a compression system deformation prediction sub-model, which includes:
[0156]
[0157]
[0158]
[0159]
[0160] in, This represents the total elastic deformation of the compressed system. Indicates rolling force. This indicates the compression deformation of the cantilevered portion of the screw being pressed down. This indicates the compression deformation of the mating part between the screw and the nut. This indicates the compressive deformation of the pressed-down nut. This indicates the elastic modulus of the screw when it is depressed. Indicates the height of the screw tip when pressed down. This indicates the thread height of the cantilevered portion of the screw. Indicates the diameter of the screw tip. Indicates the pitch diameter of the screw thread. Indicates the height of the pressed-down nut. This indicates the elastic modulus of the compressed nut. Indicates the outer diameter of the pressed-down nut. It represents pi (π).
[0161] Based on the above embodiments, the plurality of component deformation prediction sub-models further include a pad block deformation prediction sub-model, which includes:
[0162]
[0163] in, This indicates the elastic deformation of the pad. Indicates rolling force. Indicates the frame's elastic modulus. Indicates the length of the pad block. Indicates the width of the pad. This indicates the height of the pad block.
[0164] Based on the above embodiments, the plurality of component deformation prediction sub-models further include an archway deformation prediction sub-model, which includes:
[0165]
[0166]
[0167]
[0168]
[0169]
[0170] in, This indicates the elastic deformation of the archway. Indicates rolling force. This indicates the total bending deformation of the archway's crossbeam. This indicates the tensile deformation of the archway pillars caused by axial force. This represents the bending deformation of the beam caused by the bending moment. This indicates the bending deformation of the beam caused by the shear force. Indicates the height of the archway pillars. Indicates the length of the archway pillars. This indicates the width of the archway pillars. Indicates the frame's elastic modulus. Indicates the length of the archway's crossbeam. Indicates the height of the archway's crossbeam. This indicates the width of the crossbeam of the archway. This indicates the frame shear modulus.
[0171] Figure 6 This is a schematic diagram of the structure of the mill vertical system stiffness prediction device provided in the sixth embodiment of the present invention, as shown below. Figure 6 As shown, based on the above embodiments, the rolling mill vertical system stiffness prediction device provided in this embodiment further includes an acquisition unit 503, wherein:
[0172] The obtaining unit 503 is used to obtain the stiffness of each component based on the rolling force and the amount of deformation of each component.
[0173] The embodiments of the device provided in this invention can be used to execute the processing flow of the above-described method embodiments. Its functions will not be repeated here, but can be referred to the detailed description of the above-described method embodiments.
[0174] Figure 7 This is a schematic diagram of the physical structure of an electronic device provided in an embodiment of the present invention, as shown below. Figure 7 As shown, the electronic device may include: a processor 701, a communication interface 702, a memory 703, and a communication bus 704, wherein the processor 701, the communication interface 702, and the memory 703 communicate with each other via the communication bus 704. The processor 701 can call logical instructions in the memory 703 to execute the following methods: acquiring basic data and design data of the rolling mill; predicting the vertical system stiffness of the rolling mill based on the basic data and design data of the rolling mill and a rolling mill stiffness prediction model; wherein the rolling mill stiffness prediction model is pre-established.
[0175] Furthermore, the logical instructions in the aforementioned memory 703 can be implemented as software functional units and, when sold or used as independent products, can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, essentially, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of the present invention. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.
[0176] This embodiment discloses a computer program product, which includes a computer program stored on a non-transient machine-readable storage medium. The computer program includes program instructions, and when the program instructions are executed by a computer, the computer can perform the methods provided in the above-described method embodiments, such as: acquiring basic data and design data of a rolling mill; predicting the vertical system stiffness of the rolling mill based on the basic data and design data of the rolling mill and a rolling mill stiffness prediction model; wherein the rolling mill stiffness prediction model is pre-established.
[0177] This embodiment provides a computer-readable storage medium storing a computer program that causes the computer to execute the methods provided in the above-described method embodiments, such as: acquiring basic data and design data of a rolling mill; predicting the vertical system stiffness of the rolling mill based on the basic data and design data of the rolling mill and a rolling mill stiffness prediction model; wherein the rolling mill stiffness prediction model is pre-established.
[0178] Those skilled in the art will understand that embodiments of the present invention can be provided as methods, systems, or computer program products. Therefore, the present invention can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present invention can take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.
[0179] This invention is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart illustrations and / or block diagrams. Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.
[0180] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.
[0181] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.
[0182] In the description of this specification, the references to terms such as "an embodiment," "a specific embodiment," "some embodiments," "for example," "example," "specific example," or "some examples," etc., indicate that a specific feature, structure, material, or characteristic described in connection with that embodiment or example is included in at least one embodiment or example of the invention. In this specification, the illustrative expressions of the above terms do not necessarily refer to the same embodiment or example. Furthermore, the specific features, structures, materials, or characteristics described may be combined in any suitable manner in one or more embodiments or examples.
[0183] The specific embodiments described above further illustrate the purpose, technical solution, and beneficial effects of the present invention. It should be understood that the above descriptions are merely specific embodiments of the present invention and are not intended to limit the scope of protection of the present invention. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.
Claims
1. A method for predicting the stiffness of a rolling mill vertical system, characterized in that, include: Obtain basic and design data for the rolling mill; Based on the basic data and design data of the rolling mill and the rolling mill stiffness prediction model, the vertical system stiffness of the rolling mill is predicted; wherein, the rolling mill stiffness prediction model is established in advance; The rolling mill stiffness prediction model includes multiple component deformation prediction sub-models. Each component deformation prediction sub-model predicts the deformation of the corresponding component. The rolling mill roll system stiffness is equal to the rolling force divided by the sum of the deformations of each component. The multiple component deformation prediction sub-models include a roller system deformation prediction sub-model, which includes: in, This indicates the amount of deformation of the roller system. Indicates rolling force. This represents the theoretical elastic deformation of the roller system. Indicates the rolling force of the roll system The estimated error between the theoretical deformation and the actual deformation is calculated using a formula obtained in advance. This indicates the bending deformation of the support roller body. This indicates the elastic flattening between the support roller and the work roller. This indicates the elastic flattening between the work roll and the workpiece. This represents the bending deformation caused by the bending moment. This indicates the bending deformation caused by the shear force. This represents the bending moment at any cross-section of the supporting roller body. This indicates the elastic modulus of the support roller. This represents the shear force at any cross-section of the supporting roller body. The moment of inertia represents any cross-section of the supporting roller body. This represents the shear modulus of elasticity of the support roller. This represents the cross-sectional area of any section of the support roller body. , This indicates the Poisson's ratio of the work roll. This indicates the elastic modulus of the work roll. This indicates the elastic modulus of the support roller. Represents pi (π). , This indicates the unit load between the rollers. Indicates the length of the support roller body. It is a constant. Indicates the diameter of the work roll. Indicates the diameter of the support roller. Indicates the width of the rolled piece. Indicates the contact arc length of the roll. , Indicates the radius of the working roller. Indicates the thickness of the rolled piece due to deformation. It is a constant. Indicates the width of the rolled piece. and It is a constant.
2. The method according to claim 1, characterized in that, The multiple component deformation prediction sub-models include a bearing housing deformation prediction sub-model, which includes: in, This indicates the amount of deformation of the bearing housing. Indicates rolling force. This indicates the measured height of the deformed portion of the upper bearing housing. This indicates the measured height of the deformed portion of the upper bearing housing. This indicates the measured height of the deformed portion of the lower bearing housing. This indicates the measured height of the deformed portion of the lower bearing housing. This indicates the measured width of the deformed portion of the upper bearing housing. This indicates the measured width of the deformed portion of the upper bearing housing. This indicates the measured width of the deformed portion of the lower bearing housing. This indicates the measured width of the deformed portion of the lower bearing housing. Indicates the thickness of the bearing housing. This indicates the elastic modulus of the bearing housing.
3. The method according to claim 1, characterized in that, The multiple component deformation prediction sub-models include a compression system deformation prediction sub-model, which includes: in, This represents the total elastic deformation of the compressed system. Indicates rolling force. This indicates the compression deformation of the cantilevered portion of the screw being pressed down. This indicates the compression deformation of the mating part between the screw and the nut. This indicates the compressive deformation of the pressed-down nut. This indicates the elastic modulus of the screw when it is depressed. Indicates the height of the screw tip when pressed down. This indicates the thread height of the cantilevered portion of the screw. Indicates the diameter of the screw tip. Indicates the pitch diameter of the screw thread. Indicates the height of the pressed-down nut. This indicates the elastic modulus of the compressed nut. Indicates the outer diameter of the pressed-down nut. It represents pi (π).
4. The method according to claim 1, characterized in that, The multiple component deformation prediction sub-models include a pad block deformation prediction sub-model, which includes: in, This indicates the elastic deformation of the pad. Indicates rolling force. Indicates the frame's elastic modulus. Indicates the length of the pad block. Indicates the width of the pad. This indicates the height of the pad block.
5. The method according to claim 1, characterized in that, The multiple component deformation prediction sub-models include an archway deformation prediction sub-model, which includes: in, This indicates the elastic deformation of the archway. Indicates rolling force. This indicates the total bending deformation of the archway's crossbeam. This indicates the tensile deformation of the archway pillars caused by axial force. This represents the bending deformation of the beam caused by the bending moment. This indicates the bending deformation of the beam caused by the shear force. Indicates the height of the archway pillars. Indicates the length of the archway pillars. This indicates the width of the archway pillars. Indicates the frame's elastic modulus. Indicates the length of the archway's crossbeam. Indicates the height of the archway's crossbeam. This indicates the width of the crossbeam of the archway. This indicates the frame shear modulus.
6. The method according to claim 1, characterized in that, Also includes: The stiffness of each component is obtained based on the rolling force and the amount of deformation of each component.
7. A device for predicting the stiffness of a rolling mill vertical system, characterized in that, The method for predicting the stiffness of a rolling mill vertical system as described in claim 1 includes: The acquisition unit is used to acquire the basic and design data of the rolling mill. The prediction unit is used to predict the vertical system stiffness of the rolling mill based on the basic data and design data of the rolling mill and the rolling mill stiffness prediction model; wherein the rolling mill stiffness prediction model is pre-established.
8. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the computer program, it implements the method according to any one of claims 1 to 6.
9. A computer-readable storage medium having a computer program stored thereon, characterized in that, When the computer program is executed by a processor, it implements the method described in any one of claims 1 to 6.
10. A computer program product, characterized in that, The computer program product includes a computer program that, when executed by a processor, implements the method according to any one of claims 1 to 6.
Citation Information
Patent Citations
Method for acquiring transverse and longitudinal stiffness characteristic curve of UCM rolling mill roll system
CN113275387A
Method and apparatus for variably controlling transverse rigidity of rolling machine
US4458515A