Method and system for quickly dividing complex pattern grids of tire and computer software product

Abstract

The invention relates to the technical field of simulation design of tires, in particular to a method and system for quickly dividing complex pattern grids of a tire and a computer software product. The method comprises the following steps: carrying out grid division on a plane graph of a tire pattern, and dividing a pattern region into quadrilateral or triangular units; drawing contour curves according to the tire tread contour, wherein the contour curves comprise a tread curve, a pattern groove bottom curve and a pattern bottom curve; generating nodes and unit information of the planar graph, and projecting the planar nodes to the tread curve to construct three-dimensional node coordinates; projecting tread nodes to the interior of the pattern, and generating internal nodes by using intersection points of node normal lines and profile curves; and finally, a three-dimensional unit structure is generated, so that three-dimensional grid division is formed. Compared with a traditional method, the method does not depend on three-dimensional modeling, the grid division efficiency can be remarkably improved, the calculation cost can be reduced, and the method is suitable for accurate simulation analysis of complex tire patterns.

Description

Technical Field

[0001] The present invention relates to the technical field of tire simulation design, and in particular to a method, system and computer software product for fast mesh division of complex tire patterns. Background Art

[0002] As tire performance requirements increase, especially in terms of driving safety, durability, and comfort, finite element analysis (FEA) has become a key tool for evaluating tire design. Complex tire pattern design has an important impact on performance such as grip, wear resistance, and noise control. Therefore, when accurately analyzing various tire performances, the characteristics of its complex pattern must be fully considered. However, traditional meshing methods face the challenges of complex modeling, time-consuming, and reliance on third-party commercial software when dealing with complex tire patterns.

[0003] In the prior art, a three-dimensional model of the tire pattern is usually generated by three-dimensional geometric modeling software, and then meshed with the help of third-party meshing software (such as HyperMesh, etc.). For example, the Chinese invention patent application (publication number: CN116796604A, publication date: 2023-09-22) applied by the applicant takes a certain thickness of tread in the radial direction of the intercept tread pattern (this thickness can be defined independently according to needs), and after meshing, it is ensured that the node coordinates on adjacent surfaces of the tread array of this thickness are completely consistent. This method not only requires a lot of computing resources and professional software support, but also may take 8 to 20 hours in actual application, resulting in a significant increase in cost and time expenditure. Therefore, this division method that relies on three-dimensional modeling has a bottleneck of inefficiency in industrial applications, and it is difficult to meet the needs of rapid iterative design and performance evaluation.

[0004] In order to solve these problems, current technical research focuses on two aspects: one is to improve the meshing efficiency by optimizing the algorithm; the other is to develop alternative simplified methods to reduce the reliance on 3D modeling. However, most of these methods cannot take into account both high precision and low cost, and still cannot meet the application requirements of tire patterns in high-precision simulation analysis. Therefore, there is an urgent need for a complex tire pattern meshing method that does not rely on 3D modeling, is easy to operate and efficient, so as to reduce the computational cost, improve the meshing efficiency and accelerate the design feedback. Summary of the invention

[0005] In order to solve the above technical problems, the present invention proposes a method for rapid meshing of complex tire patterns based on plane unfolding projection. The method directly meshes the two-dimensional plane image of the tire pattern, and then projects the plane mesh nodes and units to the three-dimensional tread curve of the tire, thereby constructing a three-dimensional mesh structure. Compared with traditional methods, the present invention does not rely on three-dimensional geometric modeling software, and the entire meshing process only takes about 1 hour to complete, which greatly improves the meshing efficiency and reduces the cost of design and analysis. In addition, the plane meshing and projection scheme adopted by the present method can accurately capture the geometric characteristics of the tire pattern, so that it can maintain high precision in finite element simulation.

[0006] In order to achieve the above-mentioned purpose, the present invention adopts the following technical solutions: A method for quickly dividing a tire complex pattern grid, the method comprising the following steps: 1) Mesh the plane diagram of the tire intercept or the entire pattern, divide the pattern into quadrilateral or triangular units, and construct a plane coordinate system with the x-axis and y-axis; 2) Draw the contour curve, generate the tread contour curve, groove bottom curve and tread bottom curve according to the design parameters of the tire tread profile, and add smooth transition curves between different curves; 3) Generate the node and unit information of the pattern plane mesh, define the node coordinates as (xi, yi), and the unit contains triangular or quadrilateral meshes; 4) Expand the nodes and elements of the pattern plane grid to the tread curve and define the node projection coordinates on the tread curve; 5) Project the nodes into the pattern and generate internal projection points based on the intersection of the normal line and the contour curve; 6) Form a three-dimensional unit structure and generate the final three-dimensional mesh division.

[0007] Preferably, the contour curve drawing in step 2) includes drawing a smooth curve according to different pattern depths to form a bottom contour line of the tread pattern with a gradual depth to increase the grid density and optimize the simulation accuracy; each curve is named in turn according to the height position. C i , i=0~ n ,in n The number of curves minus 1, C 0 is the crown curve, C n It is the bottom curve of the tread. The curve needs to be positioned according to the actual position, with the center of the tire as the origin.

[0008] Preferably, the generation of node and unit information in step 3) includes defining node numbers and unit numbers to ensure that the nodes of the triangular and quadrilateral meshes have unique identifiers and the node positions are traceable.

[0009] As a preference, the coordinate system of the node in step 4) takes the tire center as the origin and the radial direction as z Coordinates, the wheel axis direction is y Coordinates, and the directions perpendicular to these two directions are x Axis. The circumferential angle of the tire occupied by the pattern is θ (like Figure 3 shown) ， node N i Corresponding nodes on the tread curve T c0i of x The coordinates start from the left end of the tread curve, and the length of the curve is equal to x i The point corresponding to the point x Coordinates and y Coordinates are marked as x ri , y ri , then the projection point T c0i of x , y, z The coordinate values ​​are:

[0010]

[0011]

[0012] Projected unit M i The node numbers of E i same.

[0013] Preferably, in step 5), the nodes on the tread curve are T c0i Projection into the pattern, where i is the node number. For the node inside the pattern block, calculate the normal of the pattern contour corresponding to its location, denoted as n i , calculate this normal n i With other contours C v The intersection of T cvi ,in v=1~n Number the internal curves,i Number the nodes if the normal line is aligned with the contour line C v If there is no intersection, the intersection coordinates will be set to C v-1 same.

[0014] Preferably, in step 6), the specified unit M i The starting projection curve C b ,in b =0~ n , indicating that from C b Below the curve, a three-dimensional unit is formed. S vi (where v represents the layer number, corresponding to the starting contour line, and i represents the unit number) The corresponding node is ( T cvm , T cvk , T cvp , T c(v+1)m , T c(v+1)k , T c(v+1)p )or( T cvm , T cvk , T cvp , T cvd , T c(v+1)m , T c(v+1)k , T c(v+1)p , T c(v+1)d ),in v =0~ n -1. Thus, a three-dimensional unit is formed.

[0015] Furthermore, the present invention also provides a system for fast meshing of complex tire patterns, which implements the method described above and includes the following modules: A data input module, used for receiving a tire tread plan view and its profile parameters; A processing module for performing meshing and three-dimensional node generation of a tire pattern plane diagram, including contour curve drawing, node and unit information generation, node expansion projection, and internal projection generation; A storage module, used for storing the generated node and unit data, including node plane coordinates and projection coordinates; The output module is used to output three-dimensional mesh data and provide structured files for finite element simulation analysis.

[0016] Furthermore, the present invention also provides a computer device, comprising a memory, a processor and a computer program stored in the memory, wherein the processor executes the computer program to implement the method.

[0017] Furthermore, the present invention also provides a computer-readable storage medium having a computer program or instruction stored thereon, and the method is implemented when the computer program or instruction is executed by a processor.

[0018] Furthermore, the present invention also provides a computer program product, comprising a computer program or instructions, which implement the method when executed by a processor.

[0019] The present invention adopts the above-mentioned technical solution, by directly meshing the two-dimensional plane image of the tire pattern, and then projecting the plane mesh nodes and units to the three-dimensional tread curve of the tire, thereby constructing a three-dimensional mesh structure. Compared with the traditional method, the present invention does not rely on three-dimensional geometric modeling software, and the entire meshing process only takes about 1 hour to complete, which greatly improves the meshing efficiency and reduces the cost of design and analysis. In addition, the plane meshing and projection scheme adopted by this method can accurately capture the geometric features of the tire pattern, so that it can maintain high precision in finite element simulation. It is specifically reflected in the following beneficial effects: 1) Improve meshing efficiency: This invention directly meshes the two-dimensional plane image of the complex pattern, and then projects the plane mesh to the three-dimensional tread curve, eliminating the three-dimensional geometric modeling step of the pattern in the traditional method. This method significantly reduces the meshing time, and the entire process can be completed within 1 hour, which is about 4 times shorter than the traditional method, greatly improving work efficiency.

[0020] 2) Reduce computing costs: The present invention does not need to rely on third-party 3D modeling software, and implements grid division through its own methods and systems, which greatly reduces the dependence on expensive software and the cost of use, and reduces the company's expenses on computing resources and commercial software licensing.

[0021] 3) Applicable to complex pattern structures: The method of the present invention is based on plane meshing and unfolding projection, which can accurately capture and reproduce complex tire pattern structures. Through multi-level contour curve design, it supports layered projection processing of patterns of different depths, thereby forming a high-precision three-dimensional grid structure that conforms to the actual geometric characteristics of the tire pattern.

[0022] 4) Optimize simulation accuracy: By increasing the node density control between the tread curve and the groove bottom curve, the mesh division has sufficient resolution at different depths, which can better express the geometric details of the tire pattern and improve the accuracy of the simulation results. It is suitable for high-precision finite element analysis of tire performance.

[0023] 5) Easy operation and integration: The present invention provides a simplified division process, which does not require complex 3D modeling and adjustment, and is easier to operate. In addition, through systematic module design, this method is easy to integrate into the existing finite element analysis workflow, making it convenient for engineers to quickly perform pattern mesh division and performance evaluation.

[0024] 6) Automated processing can be achieved: The method and system of the present invention can automate the entire meshing process through standardized input, processing and output module designs, reducing manual intervention, improving production efficiency and consistency, and is suitable for industrial scenarios that require rapid iterative design and performance evaluation.

[0025] In summary, the present invention provides an efficient and low-cost method and system for meshing complex tire patterns, which can significantly improve the efficiency and accuracy of pattern meshing and is suitable for rapid iteration of tire design and performance analysis. BRIEF DESCRIPTION OF THE DRAWINGS

[0026] Figure 1 It is a schematic diagram of pattern intercept grid division and coordinate system; Figure 2 It is a schematic diagram of the pattern outline; Figure 3 It is a schematic diagram of the three-dimensional pattern coordinate system; Figure 4 Grid division for the embodiment pattern; Figure 5 The pattern profile of the embodiment; Figure 6 is the node projection graph; Figure 7 The generated three-dimensional pattern mesh image. DETAILED DESCRIPTION

[0027] The following is a clear and complete description of the technical solutions in the embodiments of the present invention in conjunction with the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0028] The present invention proposes a method for fast meshing of complex tire patterns based on plane unfolding projection, which directly meshes the two-dimensional plane image of the tire pattern, and then projects the plane mesh nodes and units onto the three-dimensional tread curve of the tire, thereby constructing a three-dimensional mesh structure. Specifically, the method includes the following steps: Step 1: Grid the plane diagram of the tire intercept or the entire pattern into quadrilaterals or triangles, where the pattern width direction is x Axis, pattern length direction y Axis, with the left end of the pattern width as x Axis origin, rightward is positive direction, with the bottom of the pattern as y Axis origin, upward is the positive direction, such as Figure 1 shown.

[0029] Step 2: Draw the contour curve. Draw the tread contour curve according to the designed tire tread profile. Since the tire tread pattern has different depths, it is necessary to draw a smooth curve through the groove bottom according to the different pattern depths. Draw a smooth pattern bottom curve according to the location of the deepest groove bottom. In order to increase the grid density, you can add smooth curves between the tread curve, the groove bottom curve and the pattern bottom curve. Name each curve according to the height position. C i , i=0~ n ,in n The number of curves minus 1, C 0 is the crown curve, C n is the bottom curve of the tread. The curve needs to be positioned according to the actual position, with the tire center as the origin. Figure 2 shown.

[0030] Step 3: Generate node and unit information of the pattern plane mesh. N i The plane coordinates are ( x i , y i ),unit E j By node ( N m , N k , N p )or( N m , N k , N p , N d), corresponding to triangular mesh and quadrilateral mesh respectively, where m , k , p and d These are node numbers.

[0031] Step 4: Expand the nodes and elements of the pattern plane mesh to the tread curve. The coordinate system of the node takes the tire center as the origin and the radial direction as z Coordinates, the wheel axis direction is y Coordinates, and the directions perpendicular to these two directions are x Axis. The circumferential angle of the tire occupied by the pattern is θ (like Figure 3 shown) ， node N i Corresponding nodes on the tread curve T c0i of x The coordinates start from the left end of the tread curve, and the length of the curve is equal to x i The point corresponding to the point x Coordinates and y Coordinates are marked as x ri , y ri , then the projection point T c0i of x , y, z The coordinate values ​​are:

[0032]

[0033]

[0034] Projected unit M i The node numbers of E i same.

[0035] Step 5: Place the nodes on the tread curve T c0i Projection into the pattern, where i is the node number. For the node inside the pattern block, calculate the normal of the pattern contour corresponding to its location, denoted as n i , calculate this normal n i With other contours C v The intersection of T cvi,in v=1~n Number the internal curves, i Number the nodes if the normal line is aligned with the contour line C v If there is no intersection, the intersection coordinates will be set to C v-1 same.

[0036] Step 6: Form three-dimensional elements. Specify the elements M i The starting projection curve C b ,in b =0~ n , indicating that from C b Below the curve, a three-dimensional cell is formed. S vi (where v represents the layer number, corresponding to the starting contour line, and i represents the unit number) The corresponding node is ( T cvm , T cvk , T cvp , T c(v+1)m , T c(v+1)k , T c(v+1)p )or( T cvm , T cvk , T cvp , T cvd , T c(v+1)m , T c(v+1)k , T c(v+1)p , T c(v+1)d ),in v =0~ n -1. Thus, a three-dimensional unit is formed.

[0037] Through the above steps, the three-dimensional mesh division of the complex tire pattern is completed, and the node set is obtained. T cvi , unit set S i The entire mesh generation calculation process does not require the establishment of a three-dimensional model. The entire process only takes about 1 hour, greatly shortening the mesh division time.

[0038] The following is a specific example of a common tire pattern, and this embodiment is an intercept: Step 1: Grid the plane diagram of the tire intercept or the entire pattern into quadrilaterals or triangles, where the pattern width direction is x Axis, pattern length direction y Axis, with the left end of the pattern width as x Axis origin, rightward is positive direction, with the bottom of the pattern as y Axis origin, upward is the positive direction, such as Figure 4 shown.

[0039] Step 2: Draw the contour curve. Draw the tread contour curve according to the designed tire tread profile. Since the tire tread pattern has patterns of different depths, it is necessary to draw a smooth curve through the bottom of the tread groove according to the different pattern depths. Draw a smooth bottom curve of the pattern according to the location of the deepest groove bottom. In order to increase the grid density, you can add smooth curves between the tread curve, the groove bottom curve and the bottom curve of the pattern. Name the 5 curves according to the height position. C i , i=0~ n ,in n=4 , C 0 is the crown curve, C 4 is the bottom curve of the tread, and the curve is positioned according to the actual position. The highest contour point is 400mm, with the tire center point as the origin. Figure 5 shown.

[0040] Step 3: Generate the node (as shown in Table 1) and unit information (as shown in Table 2) of the pattern plane mesh.

[0041] Table 1 Plane pattern grid node coordinates Node ID Coordinate X Coordinate Y 1 10.457295 -84.078747 2 13.658201 -84.078747 3 13.89152 -87.500364 4 18.054475 -87.500364 5 17.682803 -84.078747 6 13.38896 -80.130324 7 17.253906 -80.130324 8 10.126329 -80.130324 9 9.571526 -75.76002 10 12.578976 -75.76002 11 16.482978 -75.76002 12 8.97809 -72.238201 Table 2 Plane pattern unit information Element ID Node List 1 1, 2, 3 2 2, 4, 3 3 5, 4, 2 4 6, 7, 5, 2 5 1, 8, 6, 2 6 8, 9, 10, 6 7 10, 11, 7, 6 8 9, 12, 13, 10 9 13, 14, 11, 10 10 12, 15, 16, 13 11 16, 17, 14, 13 12 15, 18, 19, 16 13 19, 20, 17, 16 node N i The plane coordinates are ( x i , y i ),unit E j By node ( N m , N k , N p )or( N m , N k , Np , N d ), corresponding to triangular mesh and quadrilateral mesh respectively, where m , k , p and d are all node numbers, for example, N 1 The plane coordinates are ( x 1 = 10.457295 , y 1 =-84.078747), unit E 1 The node composition is ( N 1 , N 2 , N 3 ),unit E 4 The node composition is ( N 6 , N 5 , N 7 , N 2 ).

[0042] Step 4: Expand the nodes and elements of the pattern plane mesh to the tread curve. The coordinate system of the node takes the tire center as the origin and the radial direction as z Coordinates, the wheel axis direction is y Coordinates, and the directions perpendicular to these two directions are x Axis. The circumferential angle of the tire occupied by the pattern is θ=10° (like Figure 3 shown) . With node N 15 For example, node N 15 The plane coordinates of x 15 =30.5, y 15 =0) corresponding node on the tread curve T c015 of x The coordinates start from the left end of the tread curve, and the length of the curve is equal to x 15 =30.5 The point corresponding to the point x Coordinates and y Coordinates are marked as x r15=-70.6 , y r15 =398.5 , then the projection point T c015 of x , y, z The coordinate values ​​are:

[0043]

[0044]

[0045] Projected unit M i The node numbers of E i The same, that is M 1 The node numbers of N TC01 , N TC02 , N TC03 )and E 1 of( N 1 , N 2 , N 3 ) have the same number.

[0046] Step 5: Node T c015 For example, the nodes on the tread curve T c015 Projection into the pattern, where i is the node number. For the node inside the pattern block, calculate the normal of the pattern contour corresponding to its location, denoted as n 15 , calculate this normal n 15 With other contours C v The intersection of T cvi ,in v=1~n Number the internal curves, i is the node number, such as Figure 6 As shown, obtain T c115 , T c215 , T c315 , T c415 The coordinates of .

[0047] Step 6: Form three-dimensional units. Take M1 as an example, specify the unit M 1 The starting projection curve C 1 , indicating that from C 1 Below the curve, a three-dimensional cell is formed. S 11 The corresponding node is ( T c11 , T c12 , T c13 , T c21 , T c22 , T c23 ), three-dimensional unit S 21 The corresponding node is ( T c21 , T c22 , T c23 , T c31 , T c32 , T c33 ) Three-dimensional unit S 31 The corresponding node is ( T c31 , T c32 , T c33 , T c41 , T c42 , T c43 ). This forms a three-dimensional unit, such as Figure 7 shown.

[0048] Through the above steps, the three-dimensional mesh division of the complex tire pattern is completed, and the node set is obtained. T cvi , unit set S vi The entire mesh generation calculation process does not require the establishment of a three-dimensional model. The entire process only takes about 45 minutes, greatly shortening the meshing time.

[0049] The above is a description of the embodiments of the present invention. Through the above description of the disclosed embodiments, professionals and technicians in the field can implement or use the present invention. Various modifications to these embodiments will be apparent to professionals and technicians in the field. The general principles defined herein can be implemented in other embodiments without departing from the spirit or scope of the present invention. Therefore, the present invention will not be limited to these embodiments shown in this article, but will conform to the widest range consistent with the principles and novelties disclosed herein.

Claims

1. A method for fast meshing of complex tire patterns, characterized in that: The method comprises the following steps: 1) Mesh the plane diagram of the tire intercept or the entire pattern, divide the pattern into quadrilateral or triangular units, and construct a plane coordinate system with the x-axis and y-axis; 2) Draw the contour curve, generate the tread contour curve, groove bottom curve and tread bottom curve according to the design parameters of the tire tread profile, and add smooth transition curves between different curves; 3) Generate the node and unit information of the pattern plane mesh, define the node coordinates as (xi, yi), and the unit contains triangular or quadrilateral meshes; 4) Expand the nodes and elements of the pattern plane grid to the tread curve and define the node projection coordinates on the tread curve; 5) Project the nodes into the pattern and generate internal projection points based on the intersection of the normal line and the contour curve; 6) Form a three-dimensional unit structure and generate the final three-dimensional mesh division.

2. The method according to claim 1, characterized in that The contour curve drawing in step 2) includes drawing smooth curves according to different pattern depths to form the bottom contour line of the tread pattern with gradual depth to increase the grid density and optimize the simulation accuracy; each curve is named according to the height position. C i , i=0~ n ,in n The number of curves minus 1, C 0 is the crown curve, C n It is the bottom curve of the tread. The curve needs to be positioned according to the actual position, with the center of the tire as the origin.

3. The method according to claim 1, characterized in that The generation of node and unit information in step 3) includes defining node numbers and unit numbers to ensure that the nodes of the triangular and quadrilateral meshes have unique identifiers and the node positions are traceable.

4. The method according to claim 1, characterized in that: The coordinate system of the nodes in step 4) takes the tire center as the origin and the radial direction as z Coordinates, the wheel axis direction is y Coordinates, and the directions perpendicular to these two directions are x Axis; The circumferential angle of the tire occupied by the pattern is θ, node N i Corresponding nodes on the tread curve T c0i of x The coordinates start from the left end of the tread curve, and the length of the curve is equal to x i The point corresponding to the point x Coordinates and y Coordinates are marked as x ri , y ri , then the projection point T c0i of x , y, z The coordinate values ​​are: ； ； ； Projected unit M i The node numbers of E i same.

5. The method according to claim 1, characterized in that Step 5) will be the nodes on the tread curve T c0i Projection into the pattern, where i Number the node; For the nodes inside the pattern block, calculate the normal of the pattern contour corresponding to its location, denoted as n i , calculate this normal n i With other contours C v The intersection of T cvi ,in v=1~n Number the internal curves, i Number the nodes if the normal line is aligned with the contour line C v If there is no intersection, the intersection coordinates will be set to C v-1 same.

6. The method according to claim 1, characterized in that In step 6) specify the unit M i The starting projection curve C b ,in b =0~ n , indicating that from C b Three-dimensional cells are formed below the curve; three-dimensional cells S vi， Where v represents the layer number, corresponding to the starting contour line, i represents the unit number, and the corresponding node is ( T cvm , T cvk , T cvp , T c(v+1)m , T c(v+1)k , T c(v+1)p )or( T cvm , T cvk , T cvp , T cvd , T c(v+1)m , T c(v+1)k , T c(v+1)p , T c(v+1)d ),in v =0~ n -1, thus forming a three-dimensional unit.

7. A system for fast meshing of complex tire patterns, characterized in that: The system implements the method described in any one of claims 1 to 6, and includes the following modules: A data input module, used for receiving a tire tread plan view and its profile parameters; A processing module for performing meshing and three-dimensional node generation of a tire pattern plane diagram, including contour curve drawing, node and unit information generation, node expansion projection, and internal projection generation; A storage module, used for storing the generated node and unit data, including node plane coordinates and projection coordinates; The output module is used to output three-dimensional mesh data and provide structured files for finite element simulation analysis.

8. A computer device comprising a memory, a processor and a computer program stored in the memory, characterized in that: The processor executes the computer program to implement the method according to any one of claims 1 to 6.

9. A computer-readable storage medium having a computer program or instruction stored thereon, characterized in that: When the computer program or instruction is executed by a processor, the method according to any one of claims 1 to 6 is implemented.

10. A computer program product comprising a computer program or instructions, characterized in that When the computer program or instruction is executed by a processor, the method according to any one of claims 1 to 6 is implemented.

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