A method and system for constructing a web model with thickness variation
By dividing the spoke model into different regions and using a specific layup method, the problem of mesh generation for complex structures was solved, enabling accurate modeling and layup optimization of carbon fiber spokes, and improving modeling accuracy and efficiency.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- AECC HUNAN AVIATION POWERPLANT RES INST
- Filing Date
- 2023-05-17
- Publication Date
- 2026-07-21
AI Technical Summary
Existing modeling methods struggle to perform accurate and rapid mesh generation for complex continuous fiber-reinforced composite materials, especially carbon fiber spoke structures, and lack flexibility in thickness adjustment during layup optimization.
The spoke model is divided into a constant thickness region, a variable thickness region, and a mixed region. A mixed model of constant thickness, variable thickness, and reinforcing rib blocks is generated by using equal-aberration plying, equal-division decreasing plying, and positioning plying methods.
It achieves precise mesh generation for complex structures, improves the efficiency and accuracy of layup optimization, can match real geometric features, and is suitable for the analysis and design of complex variable thickness structures.
Smart Images

Figure CN116757011B_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of automotive spoke modeling technology, and specifically relates to a method and system for constructing spoke models with varying thickness. Background Technology
[0002] Besides their excellent mechanical properties, continuous fiber reinforced composites also offer high flexibility in structural design. Unlike common metal structures, continuous fiber reinforced composite structural components often require stacking layers of prepreg to achieve the desired shape and dimensions. The entire structure involves numerous structural parameters, including thickness variations, number of ply layers, ply angles, and ply sequence. Therefore, meshing typically requires modeling and meshing each prepreg layer to enable accurate finite element analysis and provide valuable references for subsequent structural design and ply optimization. With increasing structural complexity, especially for common continuously varying thickness structures, accurate and rapid ply mesh generation remains a significant challenge, and related research is relatively scarce.
[0003] With the increasing application of composite materials in industry, current modeling methods are often suitable for simple structures, but their modeling accuracy for complex structures is often insufficient. Furthermore, their ability to achieve flexible variability in layup and thickness is poor in subsequent iterative optimization of structure and layup sequence. Based on these issues, it is necessary to present a simpler and more accurate meshing method for complex structures of variable-thickness continuous fiber reinforced composite materials. Current common meshing methods for continuous fiber reinforced composite materials can quickly and accurately mesh relatively simple structures, but for complex structures such as carbon fiber spokes, the meshes generated often cannot match the actual geometric features well. In addition, layup optimization often requires continuous re-meshing of the layup mesh, thus placing higher demands on meshing techniques. Summary of the Invention
[0004] To address at least one of the problems in the background art, the present invention proposes a method and system for constructing a spoke model with varying thickness.
[0005] To achieve the above objectives, the present invention adopts the following technical solution:
[0006] A method for constructing a spoke model with varying thickness includes the following steps:
[0007] The model of the spokes to be constructed is divided into a constant thickness region, a variable thickness region, and a mixed region;
[0008] A constant thickness model is formed by performing arithmetic lay-ups on a region of constant thickness.
[0009] The variable thickness region is divided into equal-diminishing layers to form a variable thickness model;
[0010] Positioning and layering are performed on the mixed areas to form a mixed model including reinforcing rib blocks.
[0011] Preferably, the constant thickness region is plyed with equal-aperture layers to form a constant thickness model, including the following steps:
[0012] Measure the dimensions of the constant thickness region, determine the number of ply layers based on the thickness in the dimensions, divide the bottom surface of the constant thickness region into quadrilateral grids for the first ply layer, and number each node of the quadrilateral grid for the first ply layer as 1 to a, where a is an integer ≥ 1;
[0013] Based on the quadrilateral grid of the first layer, the quadrilateral grid of the i-th layer is offset along the thickness direction, and each node of the quadrilateral grid of the i-th layer is numbered, denoted as P = 1 + (i-1)a, where P represents a node, i is the number of layers, and i ≥ 1;
[0014] The nodes of the quadrilateral meshes of adjacent layers are connected according to the arithmetic progression numbering to form a constant thickness model.
[0015] Preferably, the quadrilateral grid of each layer is offset based on the quadrilateral grid of the previous layer, and the offset distance is one layer thickness, and the number of offsets is the thickness of the entire constant thickness region divided by the layer thickness.
[0016] Preferably, the variable thickness region is divided into equally spaced decreasing layers to form a variable thickness model, including the following steps:
[0017] Measure the dimensions of the variable thickness region, determine the number of ply layers based on the maximum thickness in the dimensions, divide the bottom surface of the variable thickness region into quadrilateral grids for the first ply layer, and number the nodes of the quadrilateral grids from 1 to n, where n is an integer ≥ 1;
[0018] Based on the quadrilateral grid on the bottom surface, several layers of quadrilateral grids numbered A to B and several layers of quadrilateral grids numbered A to C are offset along the thickness direction;
[0019] Based on the quadrilateral mesh layup in regions A to B and the quadrilateral mesh layup in regions A to C, nodes with equally arithmetic numbering between adjacent layups are connected to generate a variable thickness region.
[0020] Preferably, the numbers A, B, and C satisfy the following relationship:
[0021] A = 1 + (i - 1)n;
[0022] B = j + (i-1)n, n > j ≥ 1
[0023] C = n + (i-1)n;
[0024] In the formula, i represents the i-th ply and i≥1; j represents a number from 1 to n; and n represents the maximum number of the quadrilateral grid of the first ply.
[0025] Preferably, the mixed region includes a constant thickness region and a reinforcing rib region, wherein the reinforcing rib region is disposed on the surface of the constant thickness region.
[0026] Preferably, the mixed region is positioned and layered to form a mixed model including reinforcing rib blocks, comprising the following steps:
[0027] The constant thickness region in the mixed region is padded with equal arithmetic layers to form a quadrilateral mesh of the first layer numbered 1-z, generating a constant thickness model, where z is an integer greater than 1;
[0028] The dimensions of the reinforcing rib block are determined, the number of ply layers is determined based on the maximum thickness in the dimensions, and several numbers in the quadrilateral grid numbered 1-z are selected to form the quadrilateral grid corresponding to the initial ply of the reinforcing rib block.
[0029] Based on the quadrilateral grid corresponding to the initial layup, layups of quadrilateral grids with node numbers D, E, (D+1) and (E+1) are offset along the thickness direction;
[0030] Connect the nodes corresponding to the arithmetic sequence numbers of adjacent layers to generate reinforcing rib blocks.
[0031] Preferably, the number DE satisfies the following relationship:
[0032] D = e + (m-1)z;
[0033] E = g + (m-1)z;
[0034] Where z>g>e≥1;
[0035] In the formula, e and g represent the node numbers of the initial ply on the quadrilateral grid of the first ply; m represents the number of ply layers in the reinforcing block.
[0036] A system for constructing a spoke model with varying thickness, comprising:
[0037] The dividing unit is used to divide the spoke model to be built into a constant thickness region, a variable thickness region, and a mixed region;
[0038] Arithmetic units are used to lay up layers of constant thickness in regions of constant thickness to form a constant thickness model.
[0039] Equally divided units are used to divide the variable thickness region into equal, decreasing layers to form a variable thickness model.
[0040] The positioning unit is used to position and lay up the mixed area to form a mixed model including reinforcing rib blocks.
[0041] Preferably, the arithmetic progression unit comprises:
[0042] The first measurement module is used to measure the dimensions of a constant thickness region, determine the number of ply layers based on the thickness in the dimensions, divide the bottom surface of the constant thickness region into quadrilateral grids for the first ply layer, and number each node of the quadrilateral grid for the first ply layer as 1 to a, where a is an integer ≥ 1.
[0043] The first offset module is used to offset the quadrilateral mesh of the i-th layer along the thickness direction based on the quadrilateral mesh of the first layer, and to number each node of the quadrilateral mesh of the i-th layer, denoted as P = 1 + (i-1)a, where P represents a node, i is the number of layers, and i ≥ 1;
[0044] The first connection module is used to connect the nodes of the quadrilateral mesh of adjacent plies according to the arithmetic sequence numbering to form a constant thickness model.
[0045] Preferably, the equal division unit includes:
[0046] The second measurement module is used to measure the dimensions of the variable thickness region, determine the number of ply layers based on the maximum thickness in the dimensions, divide the bottom surface of the variable thickness region into quadrilateral grids for the first ply layer, and number the nodes of the quadrilateral grids from 1 to n, where n is an integer ≥ 1.
[0047] The second offset module is used to offset, along the thickness direction, a number of quadrilateral meshes numbered A to B and a number of quadrilateral meshes numbered A to C based on the quadrilateral mesh on the bottom surface.
[0048] The second connection module is used to connect nodes with equal numbers between adjacent plies based on the quadrilateral mesh plies in regions A to B and regions A to C, thereby generating a variable thickness region.
[0049] Preferably, the positioning unit includes equally divided units and reinforcing rib units;
[0050] The equal division unit is also used to perform arithmetic lay-ups on the constant thickness region in the mixed region to form a quadrilateral mesh of the first lay-up numbered 1-z, generating a constant thickness model, where z is an integer greater than 1;
[0051] The third measurement module is used to determine the size of the reinforcing rib block, determine the number of ply layers based on the maximum thickness in the size, and select several numbers in the quadrilateral grid numbered 1-z to form the quadrilateral grid corresponding to the initial ply of the reinforcing rib block.
[0052] The third offset module is used to offset the quadrilateral mesh with node numbers D, E, (D+1) and (E+1) along the thickness direction based on the quadrilateral mesh corresponding to the initial layup;
[0053] The third connection module is used to connect the nodes corresponding to the arithmetic sequence numbers of adjacent layers to generate reinforcing rib blocks.
[0054] The beneficial effects of this invention are:
[0055] 1. This invention divides the car spoke into a constant thickness region, a variable thickness region, and a mixed region. Then, it divides each region into quadrilateral grids and numbers each grid node. Based on the ply quadrilateral grid, it performs unit node offset and finally obtains the ply grid of constant thickness and variable thickness structure. Then, based on the bottom quadrilateral grid, it performs node offset for each time to generate each layer of ply grid, and finally obtains the analysis model of the entire complex variable thickness curved surface structure.
[0056] 2. In the process of constructing the hybrid region, this invention selects a specific number in the quadrilateral grid on the bottom surface of the constant thickness region to construct the quadrilateral grid corresponding to the initial ply of the reinforcing rib block. Then, during the offset process, the maximum number of the initial ply decreases layer by layer, and finally the model of the reinforcing rib block is formed.
[0057] Other features and advantages of the invention will be set forth in the following description, and will be apparent in part from the description, or may be learned by practicing the invention. The objects and other advantages of the invention may be realized and obtained by means of the structures pointed out in the description and the drawings. Attached Figure Description
[0058] 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 some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0059] Figure 1 A flowchart of a method for constructing a spoke model with varying thickness according to the present invention is shown;
[0060] Figure 2 A model diagram of the spokes of the present invention is shown;
[0061] Figure 3 A section diagram of the rotational cross-section of the spokes of the present invention is shown;
[0062] Figure 4a It shows Figure 3A schematic diagram showing the numbering of the side grid corresponding to the central region I;
[0063] Figure 4b It shows Figure 3 A schematic diagram showing the numbering of the bottom grid corresponding to region I;
[0064] Figure 5 It shows Figure 3 A schematic diagram of the quadrilateral grid on the bottom surface of region IV;
[0065] Figure 6 It shows Figure 3 A schematic diagram of the numbering of the side grids in the central region IV;
[0066] Figure 7 It shows Figure 3 A diagram showing the variable thickness model of region IV in the middle.
[0067] Figure 8 It shows Figure 3 Schematic diagram of the quadrilateral grid on the bottom surface of regions II and III in the middle area;
[0068] Figure 9 It shows Figure 3 A schematic diagram showing the numbering of the quadrilateral grids on the bottom surface of regions II and III in the middle area;
[0069] Figure 10 The constant thickness model diagram corresponding to region III is shown. Detailed Implementation
[0070] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.
[0071] A method for constructing a spoke model with varying thickness, such as Figure 1 The above includes the following steps:
[0072] S1: Divide the model of the spokes to be constructed into a constant thickness region, a variable thickness region, and a mixed region;
[0073] S2: Perform equal-aperture layups in the constant thickness region to form a constant thickness model; perform equal-division decreasing layups in the variable thickness region to form a variable thickness model; perform positional layups in the mixed region to form a mixed model including reinforcing rib blocks.
[0074] It should be noted that step S2 is based on the type classification according to the spoke structure, such as... Figure 2As shown, the spokes are a rotating structure. When constructing the model, the rotating section of the spokes can be divided into several regions, specifically as follows: Figure 3 As shown, region I is a constant thickness region, regions IV and V are variable thickness regions, and regions II and III together constitute a mixed region, with region III belonging to the constant thickness region.
[0075] Further, in step S2, the constant thickness region is plyed with equal-aperture layers to form a constant thickness model, including the following steps:
[0076] 1. Measure the dimensions of the constant thickness region, determine the number of ply layers based on the thickness in the dimensions, divide the bottom surface of the constant thickness region into quadrilateral grids for the first ply layer, and number each node of the quadrilateral grid for the first ply layer as 1 to a, where a is an integer ≥ 1;
[0077] 2. Based on the quadrilateral mesh of the first layer, offset the quadrilateral mesh of the i-th layer along the thickness direction, and number each node of the quadrilateral mesh of the i-th layer, denoted as P = 1 + (i-1)a, where P represents a node, i is the layer number of the ply, and i ≥ 1;
[0078] 3. The nodes of the quadrilateral grids of adjacent layers are connected according to the arithmetic progression numbering to form a constant thickness model.
[0079] The following example uses Region I, combined with... Figure 4a and Figure 4b Step S2 is explained as follows:
[0080] Figure 4a The mesh shown is the side mesh structure of a constant thickness model, where each mesh is formed by stacking multiple layers. Figure 4b The middle grid is a quadrilateral grid on the bottom surface corresponding to region I, where a = 24. Figure 4b After the quadrilateral grid is divided, along Figure 4a The vertical direction is offset, and then the grid nodes with a tolerance of 24 in adjacent layers are connected to obtain the constant thickness model corresponding to region I.
[0081] Furthermore, the quadrilateral grid of each layer is offset based on the quadrilateral grid of the previous layer, and the offset distance is one layer thickness, and the number of offsets is the thickness of the entire constant thickness region divided by the layer thickness.
[0082] Further, in step S2, the variable thickness region is divided into equally spaced decreasing layers to form a variable thickness model, including the following steps:
[0083] 1. Measure the dimensions of the variable thickness region, determine the number of ply layers based on the maximum thickness in the dimensions, divide the bottom surface of the variable thickness region into quadrilateral grids for the first ply layer, and number the nodes of the quadrilateral grids from 1 to n, where n is an integer ≥ 1;
[0084] 2. Based on the quadrilateral grid on the bottom surface, lay up several quadrilateral grids numbered A to B and several quadrilateral grids numbered A to C in the thickness direction;
[0085] 3. Based on the quadrilateral mesh layup in regions A to B and the quadrilateral mesh layup in regions A to C, connect the nodes with equal arithmetic numbering between adjacent layups to generate a variable thickness region.
[0086] Among them, A=1+(i-1)n;
[0087] B = j + (i-1)n, n > j ≥ 1
[0088] C = n + (i-1)n;
[0089] In the formula, i represents the i-th ply and i≥1; j represents a number from 1 to n; and n represents the maximum number of the quadrilateral grid of the first ply.
[0090] The formation of the variable thickness region is explained below using region IV as an example:
[0091] like Figure 5 As shown, the bottom surface of region IV is divided into a grid structure. The offset of each node along the thickness direction is determined based on the layup information. If the i-th layup is a continuous layup passing through a variable thickness region, the offset of the node along the thickness direction is equal to the thickness of one prepreg layup. If the i-th layup is discontinuous (the node at the discontinuity is numbered j), and is not a continuous layup passing through a variable thickness region, the offset of the node along the thickness direction decreases arithmetically from the thicker to the thinner regions according to the number of transition regions, forming resin aggregation areas commonly seen in delamination. The side of its grid structure is shown in the figure. Figure 6 As shown. Based on the offset of each node along the thickness direction, and using the node numbers of each mesh layer, with a tolerance of 16 for the corresponding nodes in the upper and lower ply planes, a hexahedral ply mesh or a resin mesh consisting of a mixture of hexahedrons and pentahedrons is generated for each layer. Finally, the generated meshes are made to share nodes, generating a variable thickness model. The structure of this variable thickness model is shown below. Figure 7 As shown.
[0092] It should be noted that, Figure 6 The numbering pattern of the corresponding quadrilateral grid on the bottom surface and Figure 4b same.
[0093] Furthermore, in step S2, the mixing region includes a constant thickness region and a reinforcing rib region, with the reinforcing rib region disposed on the surface of the constant thickness region.
[0094] Further, the mixed areas are positioned and layered to form a mixed model including reinforcing rib blocks, including the following steps:
[0095] 1. Perform arithmetic lay-ups on the constant thickness regions in the mixed region to form quadrilateral meshes for the first lay-up numbered 1-z, generating a constant thickness model, where z is an integer greater than 1;
[0096] 2. Measure the dimensions of the reinforcing rib block, determine the number of ply layers based on the maximum thickness in the dimensions, and select several numbers from the quadrilateral grid numbered 1-z to form the quadrilateral grid corresponding to the initial ply of the reinforcing rib block.
[0097] 3. Based on the quadrilateral grid corresponding to the initial layup, offset the layup of the quadrilateral grid with node numbers D, E, (D+1) and (E+1) along the thickness direction;
[0098] 4. Connect the nodes corresponding to the arithmetic sequence numbers of adjacent layers to generate reinforcing rib blocks.
[0099] Where D = e + (m-1)z;
[0100] E = g + (m-1)z;
[0101] Where z>g>e≥1;
[0102] In the formula, e and g represent the nodes and numbers of the initial ply on the quadrilateral grid of the first ply; m represents the number of ply layers in the reinforcing block.
[0103] The above steps are explained below using regions II and III as examples:
[0104] like Figure 8 As shown, based on the dimensions corresponding to the reinforcing ribs (Region II) and the constant thickness spoke structure (Region III), the entire bottom mesh is divided into two parts. The node numbers of each mesh are as follows: Figure 9 As shown. Since the stiffener and the spokes are a continuous structure, the generation of the initial unit on the bottom surface needs to take into account both the generation of the stiffener with variable thickness and the generation of the spokes with constant thickness. Figure 8 The light-colored mesh represents Region II, the initial bottom element corresponding to the variable-thickness stiffener. The dark and light-colored meshes together form the quadrilateral bottom mesh of Region III, the initial bottom element generated by the constant-thickness spokes. To ensure the meshes for each structure are generated progressively, the mesh nodes are renumbered. For example... Figure 9As shown, the initial bottom quadrilateral grid of the reinforcing rib substructure is the grid line part in the figure, namely the part enclosed by 2 (corresponding to D), 3 (corresponding to D+1), 22 (corresponding to E) and 23 (corresponding to E+1).
[0105] For each substructure region, node offsets are applied according to the thickness variations. For region III with a constant thickness, a constant thickness region mesh is generated, with equidistant offsets in the thickness direction, ultimately forming a mesh as shown below. Figure 10 The model is shown. For region II with variable thickness stiffeners, the mesh is generated layer by layer according to the node number corresponding to the stiffener mesh offset, using the method of mesh generation for variable thickness regions, that is, the maximum number of the quadrilateral mesh corresponding to the stiffener block decreases layer by layer.
[0106] It should be noted that the constant thickness region mesh generation method achieved accurate ply modeling for region I of the carbon fiber spoke gear; the variable thickness region mesh generation method achieved accurate ply mesh modeling for complex variable thickness structural regions such as regions IV and V; and the hybrid variable thickness region mesh generation method achieved accurate ply mesh modeling for variable structural regions such as regions II and III. By merging the ply mesh models built for each region, a ply mesh model that accurately represents the entire carbon fiber gear ply and geometric structure information can be obtained.
[0107] It should be noted that in the method of the present invention, the quadrilateral grid of each layer is offset based on the quadrilateral grid of the previous layer, and the offset distance is one layer thickness, and the number of offsets is the thickness of the entire constant thickness region divided by the layer thickness.
[0108] A system for constructing a spoke model with varying thickness includes dividing units, arithmetic units, equal-division units, and positioning units. The dividing units are used to divide the spoke model to be constructed into a constant-thickness region, a variable-thickness region, and a mixed region. The arithmetic units are used to perform arithmetic layups on the constant-thickness region to form a constant-thickness model. The equal-division units are used to perform equal-division decreasing layups on the variable-thickness region to form a variable-thickness model. The positioning units are used to perform positioning layups on the mixed region to form a mixed model including reinforcing rib blocks.
[0109] Among them, the arithmetic progression units include:
[0110] The first measurement module is used to measure the dimensions of a constant thickness region, determine the number of ply layers based on the thickness in the dimensions, divide the bottom surface of the constant thickness region into quadrilateral grids for the first ply layer, and number each node of the quadrilateral grid for the first ply layer as 1 to a, where a is an integer ≥ 1.
[0111] The first offset module is used to offset the quadrilateral mesh of the i-th layer along the thickness direction based on the quadrilateral mesh of the first layer, and to number each node of the quadrilateral mesh of the i-th layer, denoted as P = 1 + (i-1)a, where P represents a node, i is the number of layers, and i ≥ 1;
[0112] The first connection module is used to connect the nodes of the quadrilateral mesh of adjacent plies according to the arithmetic sequence numbering to form a constant thickness model.
[0113] The equally divided units include:
[0114] The second measurement module is used to measure the dimensions of the variable thickness region, determine the number of ply layers based on the maximum thickness in the dimensions, divide the bottom surface of the variable thickness region into quadrilateral grids for the first ply layer, and number the nodes of the quadrilateral grids from 1 to n, where n is an integer ≥ 1.
[0115] The second offset module is used to offset, along the thickness direction, a number of quadrilateral meshes numbered A to B and a number of quadrilateral meshes numbered A to C based on the quadrilateral mesh on the bottom surface.
[0116] The second connection module is used to connect nodes with equal numbers between adjacent plies based on the quadrilateral mesh plies in regions A to B and regions A to C, thereby generating a variable thickness region.
[0117] The positioning unit includes equally divided units and reinforcing rib units;
[0118] The equal-divided unit is also used to perform arithmetic lay-ups on constant-thickness regions in the mixed region, forming quadrilateral meshes of the first lay-up numbered 1-z, generating a constant-thickness model, where z is an integer greater than 1;
[0119] The third measurement module is used to determine the size of the reinforcing rib block, determine the number of ply layers based on the maximum thickness in the size, and select several numbers in the quadrilateral grid numbered 1-z to form the quadrilateral grid corresponding to the initial ply of the reinforcing rib block.
[0120] The third offset module is used to offset the quadrilateral mesh with node numbers D, E, (D+1) and (E+1) along the thickness direction based on the quadrilateral mesh corresponding to the initial ply.
[0121] The third connection module is used to connect the nodes corresponding to the arithmetic sequence numbers of adjacent layers to generate reinforcing rib blocks.
[0122] It should be noted that, for the system embodiment, since it basically corresponds to the method embodiment, the relevant parts can be referred to in the description of the method embodiment. The various units and modules of the system of the present invention are only divided according to functional logic, but are not limited to the above division, as long as the corresponding functions can be achieved; in addition, the specific names of each unit are only for easy distinction between each other and are not used to limit the protection scope of the present invention.
[0123] This invention has been successfully applied to the construction of CAE mesh models for carbon fiber spokes in metal-carbon fiber hybrid gears. The mesh model obtained based on this method shows a high degree of matching with the actual designed spoke geometry model, proving the accuracy of the method. Furthermore, this mesh generation method has also been successfully applied to subsequent ply optimization design. In the process of searching for optimal structural ply information, by continuously calling this mesh generation method, CAE analysis models with different internal ply information can be generated each time, demonstrating the simplicity and flexibility of this method.
[0124] Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.
Claims
1. A method for constructing a spoke model with varying thickness, characterized in that, Includes the following steps: The model of the spokes to be constructed is divided into a constant thickness region, a variable thickness region, and a mixed region; To form a constant thickness model by performing arithmetic layups in a region of constant thickness, the following steps are included: Measure the dimensions of the constant thickness region, determine the number of ply layers based on the thickness in the dimensions, divide the bottom surface of the constant thickness region into quadrilateral grids for the first ply layer, and number each node of the quadrilateral grid for the first ply layer as 1 to a, where a is an integer ≥ 1; Based on the quadrilateral mesh of the first layer, the quadrilateral mesh of the i-th layer is offset along the thickness direction, and each node of the quadrilateral mesh of the i-th layer is numbered and denoted as . , where P represents a node, i is the number of layers, and i≥1; The nodes of the quadrilateral meshes of adjacent plies are connected according to the arithmetic progression numbering to form a constant thickness model; The quadrilateral grid of each layer of the ply is offset based on the quadrilateral grid of the previous layer, and the offset distance is one ply thickness. The number of offsets is the thickness of the entire constant thickness region divided by the ply thickness. The variable thickness region is divided into equal-diminishing layers to form a variable thickness model; Positioning and layering are performed on the mixed areas to form a mixed model including reinforcing rib blocks.
2. The method for constructing a spoke model with varying thickness according to claim 1, characterized in that, Divide the variable thickness region into equal-diminishing-layer ply structures to form a variable thickness model, including the following steps: Measure the dimensions of the variable thickness region, determine the number of ply layers based on the maximum thickness in the dimensions, divide the bottom surface of the variable thickness region into quadrilateral grids for the first ply layer, and number the nodes of the quadrilateral grids from 1 to n, where n is an integer ≥ 1; Based on the quadrilateral grid on the bottom surface, several layers of quadrilateral grids numbered A~B and several layers of quadrilateral grids numbered A~C are offset along the thickness direction; Based on the quadrilateral mesh layup in regions A~B and A~C, nodes with equally arithmetic numbering between adjacent layups are connected to generate a variable thickness region.
3. The method for constructing a spoke model with varying thickness according to claim 2, characterized in that, The numbers A, B, and C satisfy the following relationship: ; B = j + (i-1)n, n > j ≥ 1; C = n + (i-1)n; In the formula, i represents the i-th ply and i≥1; j represents a number from 1 to n; and n represents the maximum number of the quadrilateral grid of the first ply.
4. The method for constructing a spoke model with varying thickness according to claim 1, characterized in that, The mixed region includes a constant thickness region and a reinforcing rib region, wherein the reinforcing rib region is disposed on the surface of the constant thickness region.
5. The method for constructing a spoke model with varying thickness according to claim 4, characterized in that, Positioning and layering the hybrid region to form a hybrid model including reinforcing rib blocks includes the following steps: The constant thickness region in the mixed region is padded with equal arithmetic layers to form a quadrilateral mesh of the first layer numbered 1-z, generating a constant thickness model, where z is an integer greater than 1; The dimensions of the reinforcing rib block are determined, the number of ply layers is determined based on the maximum thickness in the dimensions, and several numbers in the quadrilateral grid numbered 1-z are selected to form the quadrilateral grid corresponding to the initial ply of the reinforcing rib block. Based on the quadrilateral grid corresponding to the initial layup, layups of quadrilateral grids with node numbers D, E, (D+1) and (E+1) are offset along the thickness direction; Connect the nodes corresponding to the arithmetic sequence numbers of adjacent layers to generate reinforcing rib blocks.
6. The method for constructing a spoke model with varying thickness according to claim 5, characterized in that, The number DE satisfies the following relationship: D = e + (m-1)z; E = g + (m-1)z; Where z>g>e≥1; In the formula, e and g represent the node numbers of the initial ply on the quadrilateral grid of the first ply; m represents the number of ply layers in the reinforcing block.
7. A system for constructing a spoke model with varying thickness, characterized in that, include: The dividing unit is used to divide the spoke model to be built into a constant thickness region, a variable thickness region, and a mixed region; Arithmetic unit cells are used to perform arithmetic layups on regions of constant thickness to form a constant thickness model, including: The first measurement module is used to measure the dimensions of a constant thickness region, determine the number of ply layers based on the thickness in the dimensions, divide the bottom surface of the constant thickness region into quadrilateral grids for the first ply layer, and number each node of the quadrilateral grid for the first ply layer as 1 to a, where a is an integer ≥ 1. The first offset module is used to offset the quadrilateral mesh of the i-th layer along the thickness direction based on the quadrilateral mesh of the first layer, and to number each node of the quadrilateral mesh of the i-th layer, denoted as . , where P represents a node, i is the number of layers, and i≥1; The first connection module is used to connect the nodes of the quadrilateral grids of adjacent plies according to the arithmetic progression numbering to form a constant thickness model. The quadrilateral grid of each layer of the ply is offset based on the quadrilateral grid of the previous layer, and the offset distance is one ply thickness. The number of offsets is the thickness of the entire constant thickness region divided by the ply thickness. Equally divided units are used to divide the variable thickness region into equal, decreasing layers to form a variable thickness model. The positioning unit is used to position and lay up the mixed area to form a mixed model including reinforcing rib blocks.
8. A spoke model construction system with varying thickness according to claim 7, characterized in that, The equal division unit includes: The second measurement module is used to measure the dimensions of the variable thickness region, determine the number of ply layers based on the maximum thickness in the dimensions, divide the bottom surface of the variable thickness region into quadrilateral grids for the first ply layer, and number the nodes of the quadrilateral grids from 1 to n, where n is an integer ≥ 1. The second offset module is used to offset, along the thickness direction, a number of quadrilateral meshes numbered A to B and a number of quadrilateral meshes numbered A to C based on the quadrilateral mesh on the bottom surface. The second connection module is used to connect nodes with equal numbers between adjacent plies based on the quadrilateral mesh plies in regions A~B and A~C, thereby generating a variable thickness region.
9. A spoke model construction system with varying thickness according to claim 8, characterized in that, The positioning unit includes equally divided units and reinforcing rib units; The equal division unit is also used to perform arithmetic lay-ups on the constant thickness region in the mixed region to form a quadrilateral mesh of the first lay-up numbered 1-z, generating a constant thickness model, where z is an integer greater than 1; The reinforcing rib unit includes a third measurement module, a third offset module, and a third connection module; The third measurement module is used to determine the size of the reinforcing rib block, determine the number of ply layers based on the maximum thickness in the size, and select several numbers in the quadrilateral grid numbered 1-z to form the quadrilateral grid corresponding to the initial ply of the reinforcing rib block. The third offset module is used to offset the quadrilateral mesh with node numbers D, E, (D+1) and (E+1) along the thickness direction based on the quadrilateral mesh corresponding to the initial layup; The third connection module is used to connect the nodes corresponding to the arithmetic sequence numbers of adjacent layers to generate reinforcing rib blocks.