Design method of three-dimensional staggered lattice structure derived from two-dimensional grid
By designing a three-dimensional staggered lattice structure, the problem of insufficient out-of-plane stiffness of two-dimensional grids is solved, improving out-of-plane stiffness while maintaining lightweight and high efficiency, making it suitable for fields such as architecture and aerospace.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- HARBIN INST OF TECH
- Filing Date
- 2025-12-27
- Publication Date
- 2026-05-01
AI Technical Summary
The insufficient out-of-plane stiffness of two-dimensional mesh structures limits their load-bearing capacity and application range. Existing lifting methods increase self-weight and reduce efficiency.
By forming a three-dimensional staggered lattice structure through a two-dimensional grid unit cell array and misalignment, and by adding additional connecting rods and optimizing connection nodes as necessary, the moment of inertia of the cross section can be increased without significantly increasing the weight.
It achieves a significant improvement in out-of-plane stiffness while maintaining a lightweight and efficient structure, compatibility with existing manufacturing technologies, and a good balance between performance and cost.
Smart Images
Figure CN121963990A_ABST
Abstract
Description
A design method for three-dimensional staggered lattice structures derived from two-dimensional grids Technical Field
[0001] This invention relates to a three-dimensional staggered lattice structure design method derived from two-dimensional grids, belonging to the field of lattice structure design technology. Background Technology
[0002] Two-dimensional grid structures are widely used in load-bearing components such as plates, shells, and beams in fields such as architecture, aerospace, vehicles, and ships due to their excellent in-plane structural efficiency, lightweight characteristics, and ease of design and construction. However, an inherent mechanical drawback of this type of structure is its significantly insufficient out-of-plane stiffness and strength. When subjected to out-of-plane compressive, bending, or shear loads, two-dimensional grid structures mainly rely on the bending resistance of their constituent members to resist deformation. This is a relatively inefficient load-bearing method, which can easily lead to overall or local buckling instability, thus greatly limiting its load-bearing capacity and application range.
[0003] Conventional techniques to compensate for this deficiency include increasing the cross-sectional dimensions of the grid members, reducing the element size of the grid, or using a higher density grid. However, these methods essentially involve stacking materials in a two-dimensional plane, resulting in limited stiffness improvement and inevitably and significantly increasing the structural weight, leading to reduced structural efficiency. This contradicts the original intention of using grid structures to achieve lightweighting.
[0004] Three-dimensional lattice structures exhibit significantly superior out-of-plane mechanical properties compared to two-dimensional meshes. However, traditional three-dimensional lattice structures, including those whose unit cells are designed based on two-dimensional shapes, typically suffer from poor compatibility with existing two-dimensional mesh fabrication systems, leading to high manufacturing costs. Therefore, there is an urgent need in this field for a design method for three-dimensional staggered lattice structures derived from two-dimensional meshes. Summary of the Invention
[0005] The purpose of this invention is to solve the problem of low out-of-plane stiffness of mesh structures in the prior art. The main reason for the low out-of-plane stiffness of mesh structures is that their cross-sectional moment of inertia is too small. ,in, For grid width, Since the thickness of the mesh is considered, increasing the thickness can significantly improve the moment of inertia of the mesh structure's cross-section, but this leads to a significant increase in the weight of the mesh structure. This invention provides a three-dimensional staggered lattice structure design method derived from a two-dimensional mesh. This method increases the moment of inertia of the mesh structure's cross-section without excessively increasing its weight. The designed lattice structure inherits the advantages of traditional two-dimensional mesh structures—flexibility, lightweight, and efficiency—while overcoming their shortcomings in out-of-plane stiffness. Furthermore, it is easy to manufacture using existing manufacturing technologies, achieving a good balance between performance and cost.
[0006] The objective of this invention is achieved through the following technical solution:
[0007] A design method for a three-dimensional staggered lattice structure derived from a two-dimensional mesh includes the following steps:
[0008] Step 1: Form a three-dimensional staggered lattice structure by arraying and dislocation of two-dimensional grid unit cells;
[0009] Step 2: When the misalignment displacement distance mentioned in Step 1 is less than or equal to the single-layer thickness of the two-dimensional mesh unit cell, no additional connecting rods are needed between adjacent two-dimensional mesh unit cells; when the misalignment displacement distance is greater than the single-layer thickness of the two-dimensional mesh unit cell, additional connecting rods are needed between adjacent two-dimensional mesh unit cells.
[0010] Step 3: When the misalignment displacement distance mentioned in Step 2 is greater than the thickness of a single layer of a two-dimensional mesh unit cell, all nodes in the three-dimensional staggered lattice structure are optimized through topology, and the connecting rods are optimized by hollowing out the rods.
[0011] Preferably, the step one of forming a three-dimensional interlaced lattice structure from a two-dimensional grid unit cell through arraying and dislocation includes two methods: Method one is to form a three-dimensional interlaced lattice structure by first arraying the two-dimensional grid unit cell and then dislocation; Method two is to form a three-dimensional interlaced lattice structure by first dislocation and then arraying the two-dimensional grid unit cell.
[0012] Preferably, the specific steps for forming a three-dimensional interlaced lattice structure by first arraying and then displacing two-dimensional grid unit cells are as follows:
[0013] Step 11: Arrange multiple two-dimensional mesh units in an array within the plane of the two-dimensional mesh to form two or more two-dimensional mesh layers;
[0014] Steps 1 and 2: Arrange two or more two-dimensional mesh layers in the out-of-plane direction. When there is a misalignment between two adjacent two-dimensional mesh layers in the out-of-plane direction, a three-dimensional staggered lattice structure is formed.
[0015] Preferably, the specific steps for forming a three-dimensional interlaced lattice structure by first displacing and then arraying two-dimensional grid unit cells are as follows:
[0016] Step 11: Arrange multiple two-dimensional grid unit cells along the out-of-plane direction to make the number of two-dimensional grid unit cells the same and the two adjacent two-dimensional grid unit cells have the same misalignment displacement along the out-of-plane direction, forming a three-dimensional staggered lattice unit cell.
[0017] Steps 1 and 2: Arrange the three-dimensional interlaced lattice unit cells in the plane of the two-dimensional grid to form a three-dimensional interlaced lattice structure.
[0018] Preferably, the two-dimensional grid cell in step one is one or a combination of polygonal, circular, and irregular graphic grid cells.
[0019] Preferably, the density of the two-dimensional grid layers in the three-dimensional interlaced lattice structure is the same or different at different locations, and the shape of each two-dimensional grid layer is the same or different.
[0020] Preferably, the misalignment displacement mentioned in steps one and two includes parallel misalignment displacement and non-parallel misalignment displacement.
[0021] Preferably, the misalignment displacement mentioned in step one is a parallel misalignment displacement.
[0022] Preferably, the additional connecting member in step two is a beam or cable.
[0023] Preferably, the additional connecting rods in step two are arranged vertically or at an angle, and the additional connecting rods are connected through layers or not; the additional connecting rods are connected continuously end to end or discontinuously, and the additional connecting rods form a cross-spiral structure or do not form a cross-spiral structure.
[0024] Compared with the prior art, the beneficial effects of the present invention are as follows:
[0025] The three-dimensional staggered lattice structure design method derived from two-dimensional grids of the present invention produces a staggered lattice structure that, compared to the original two-dimensional grid structure, has only a slight increase in weight and space occupied, while significantly improving out-of-plane stiffness. Furthermore, it increases the moment of inertia of the grid structure section without excessively increasing the weight. This staggered lattice structure can inherit the advantages of traditional two-dimensional grid structure design—flexibility, lightweight, and high efficiency—while overcoming its shortcomings in out-of-plane stiffness. At the same time, it is easy to manufacture using existing manufacturing technologies, achieving a good balance between performance and cost.
[0026] The staggered lattice structure design method of this invention, derived from a two-dimensional grid, produces a staggered lattice structure that, compared to traditional three-dimensional lattice structures, consists of two or more complete two-dimensional grids with added connectors. This allows it to be compatible with existing two-dimensional grid manufacturing systems, simplifying manufacturing. Topological optimization of the interlayer connection nodes and connectors in the overall lattice structure formed by the array of three-dimensional unit cells may disrupt the original array periodicity, but it still maintains the structural form of "two-dimensional grid layer + interlayer connectors," making it easy to manufacture. Based on different two-dimensional grid forms and arrangements, an infinite number of staggered lattice structures can be obtained, thus making it a simple and effective lattice structure design method. Attached Figure Description
[0027] Figure 1 is a schematic diagram of the dislocation of a three-dimensional staggered lattice structure originating from a two-dimensional grid; wherein:
[0028] Figure 1(a) is a schematic diagram of parallel misalignment of two-dimensional grid layers in a three-dimensional staggered lattice structure derived from a two-dimensional grid;
[0029] Figure 1(b) is a schematic diagram of the non-parallel misalignment of the two-dimensional grid layers in a three-dimensional staggered lattice structure originating from a two-dimensional grid.
[0030] Figure 2 is a schematic diagram of the projection of two-layer and three-layer three-dimensional staggered lattice unit cells onto the xy plane; where:
[0031] Figure 2(a) is a schematic diagram of the projection of a double-layer three-dimensional staggered lattice unit cell onto the xy plane;
[0032] Figure 2(b) is a schematic diagram of the projection of a three-layer three-dimensional staggered lattice unit cell onto the xy plane.
[0033] Figure 3 is a three-dimensional model of a double-layered three-dimensional staggered lattice unit cell; wherein:
[0034] Figure 3(a) is a three-dimensional model of a double-layer three-dimensional staggered lattice unit cell when the interlayer stagger displacement is 2 / 3 times the thickness of a single layer, i.e., less than the thickness of a single layer;
[0035] Figure 3(b) is a three-dimensional model of a double-layer three-dimensional staggered lattice unit cell when the interlayer stagger displacement is 1 times the thickness of a single layer, i.e., equal to the thickness of a single layer.
[0036] Figure 3(c) is a three-dimensional model of a double-layer three-dimensional staggered lattice unit cell when the interlayer stagger displacement is 5 times the thickness of a single layer, i.e., greater than the thickness of a single layer.
[0037] Figure 4 is a three-dimensional model of a three-layered, three-dimensional staggered lattice unit cell; wherein:
[0038] Figure 4(a) shows a three-dimensional model of a three-layer staggered lattice unit cell when the rhombic grid is on one side of the grid-shaped grid;
[0039] Figure 4(b) shows the three-dimensional model of a three-layered three-dimensional staggered lattice unit cell when the rhomboid grid is between the grid and the cross grid.
[0040] Figure 4(c) is a stereoscopic model of a three-dimensional staggered lattice unit cell with a rhomboid mesh on one side of a grid.
[0041] Figure 5 shows the three-dimensional staggered lattice structure formed by the 3×4 array of double-layer staggered lattice unit cells in Figure 3; where:
[0042] Figure 5(a) shows the three-dimensional staggered lattice structure formed by a 3×4 array of two-layer staggered lattice unit cells when the interlayer staggered displacement is 2 / 3 times the thickness of a single layer, i.e., less than the thickness of a single layer;
[0043] Figure 5(b) shows the three-dimensional staggered lattice structure formed by a 3×4 array of double-layer staggered lattice unit cells when the interlayer staggered displacement is 1 times the thickness of a single layer, i.e., equal to the thickness of a single layer.
[0044] Figure 5(c) shows the three-dimensional staggered lattice structure formed by a 3×4 array of two-layer staggered lattice unit cells when the interlayer staggered displacement is 5 times the thickness of a single layer, i.e., greater than the thickness of a single layer.
[0045] Figure 6 shows the curves of the bending buckling load, the displacement of the buckling compression during buckling, and the ratio of buckling load to lattice unit cell volume as a function of the interlacing displacement between the two two-dimensional meshes, obtained from finite element simulation of the three-dimensional interlaced lattice structure formed by the 3×4 array of double-layer interlaced lattice unit cells in Figure 3.
[0046] Figure 6(a) shows the curve of the buckling load under compression with the staggered displacement between the two two-dimensional mesh layers;
[0047] Figure 6(b) shows the curve of the compression displacement during buckling as a function of the staggered displacement between the two two-dimensional mesh layers;
[0048] Figure 6(c) shows the curves of the ratio of buckling load to lattice unit cell volume as a function of the staggered displacement between the two two-dimensional mesh layers.
[0049] Figure 7 is a schematic diagram of a connecting rod design derived from a three-dimensional interlaced lattice structure of a two-dimensional grid; wherein:
[0050] Figure 7(a) is a schematic diagram of the design plan of the connecting rods of the three-dimensional staggered lattice structure derived from the two-dimensional grid;
[0051] Figure 7(b) is a three-dimensional schematic diagram of the design of connecting rods based on a three-dimensional staggered lattice structure derived from a two-dimensional grid. Detailed Implementation
[0052] The present invention will be further described in detail below with reference to the accompanying drawings: This embodiment is implemented under the premise of the technical solution of the present invention, and detailed implementation methods are given, but the protection scope of the present invention is not limited to the following embodiments.
[0053] As shown in Figures 1 to 7, the three-dimensional staggered lattice structure design method derived from a two-dimensional grid involved in this embodiment includes the following steps:
[0054] Step 1: Form a three-dimensional staggered lattice structure by arraying and dislocation of two-dimensional grid unit cells;
[0055] Step 2: When the misalignment displacement distance mentioned in Step 1 is less than or equal to the single-layer thickness of the two-dimensional mesh unit cell, no additional connecting rods are needed between adjacent two-dimensional mesh unit cells; when the misalignment displacement distance is greater than the single-layer thickness of the two-dimensional mesh unit cell, additional connecting rods are needed between adjacent two-dimensional mesh unit cells.
[0056] Step 3: When the misalignment displacement distance mentioned in Step 2 is greater than the thickness of a single layer of a two-dimensional mesh unit cell, all nodes in the three-dimensional staggered lattice structure are optimized through topology, and the connecting rods are optimized by hollowing out the rods.
[0057] The step one involves forming a three-dimensional interlaced lattice structure from a two-dimensional grid unit cell through arraying and dislocation displacement, which includes two methods. Method one is to form a three-dimensional interlaced lattice structure by first arraying the two-dimensional grid unit cell and then dislocation displacement. Method two is to form a three-dimensional interlaced lattice structure by first dislocation displacement of the two-dimensional grid unit cell and then arraying it.
[0058] Method 1: The specific steps for forming a three-dimensional interlaced lattice structure by first arraying two-dimensional grid unit cells and then displacing them are as follows:
[0059] Step 11: Arrange multiple two-dimensional mesh units in an array within the plane of the two-dimensional mesh to form a two-dimensional mesh layer;
[0060] Steps 1 and 2: Arrange two or more two-dimensional mesh layers along the out-of-plane direction (the out-of-plane direction can be perpendicular or not perpendicular to the mesh plane). When there is a misalignment displacement between adjacent two-dimensional mesh layers in the out-of-plane direction, a three-dimensional staggered lattice structure is formed. The misalignment displacement mentioned in Steps 1 and 2 includes parallel misalignment displacement and non-parallel misalignment displacement.
[0061] Method 2: The specific steps for forming a three-dimensional interlaced lattice structure by first displacing and then arraying two-dimensional grid unit cells are as follows:
[0062] Step 11: Arrange multiple two-dimensional grid unit cells along the out-of-plane direction (the out-of-plane direction can be perpendicular or not perpendicular to the grid plane) so that the number of two-dimensional grid unit cells is the same and there is the same misalignment displacement between adjacent two-dimensional grid unit cells along the out-of-plane direction, forming a three-dimensional staggered lattice unit cell; the misalignment displacement mentioned in Step 11 is a parallel misalignment displacement to ensure the formation of a complete two-dimensional grid.
[0063] Steps 1 and 2: Arrange the three-dimensional interlaced lattice unit cells in the plane of the two-dimensional grid to form a three-dimensional interlaced lattice structure.
[0064] The design concept of this invention, which is a three-dimensional staggered lattice structure design method derived from two-dimensional meshes, is as follows: multiple two-dimensional mesh unit cells are arrayed in the plane of the two-dimensional mesh to form a two-dimensional mesh; two or more two-dimensional meshes are combined along the out-of-plane direction to form a three-dimensional staggered lattice structure; when these two-dimensional meshes overlap, a new two-dimensional mesh structure is formed; when they are misaligned in the out-of-plane direction, a three-dimensional staggered lattice structure is formed. The weight of this three-dimensional staggered lattice structure does not significantly exceed that of the new two-dimensional mesh structure formed when the two-dimensional meshes overlap, but it has a certain span in the thickness direction, thereby significantly improving the out-of-plane stiffness and moment of inertia of the mesh structure.
[0065] Alternatively, a three-dimensional lattice unit cell is composed of two-dimensional grid unit cells arranged in the out-of-plane direction, while a three-dimensional staggered lattice structure is formed by an array of three-dimensional lattice unit cells in the plane of the two-dimensional grid. The size and form of each layer of the two-dimensional grid that makes up the three-dimensional staggered lattice structure, as well as the number and arrangement of the two-dimensional grid layers, the number and position of the interlayer connection points, and the form of the connecting rods, can all be designed according to requirements to form a large number of three-dimensional staggered lattice structures.
[0066] The various mesh structures mentioned above, including but not limited to polygonal mesh cells such as triangles, quadrilaterals, and hexagons, as well as one or more combinations of mesh cells such as circles and irregular shapes, can all form a three-dimensional interlaced lattice structure after misalignment design; a two-dimensional mesh layer can be obtained by translating or rotating another two-dimensional mesh layer. There are no restrictions on in-plane rotation, and the two-dimensional mesh cells can be rotated separately and then connected together; for out-of-plane rotation, the entire two-dimensional mesh layer needs to be rotated rather than the mesh cells are rotated separately, so as to ensure that the mesh layer remains a complete planar mesh after rotation, avoiding the situation where the mesh cells cannot be connected or the two-dimensional mesh layer becomes three-dimensional; out-of-plane rotation will cause the layers to no longer be parallel, forming a 3D weaving effect, as shown in Figure 1(a) and Figure 1(b).
[0067] The relationship between the misalignment displacement distance between each layer of two-dimensional grids in a three-dimensional staggered lattice structure and the thickness of a single layer of two-dimensional grid unit cell includes all cases: less than the single layer thickness, equal to the single layer thickness, and greater than the single layer thickness. When the misalignment displacement is greater than the single layer thickness, additional connecting rods are required to connect the grid layers, but the weight increase brought by the connection is significantly less than directly increasing the grid layer thickness. The connection methods between different layers of two-dimensional grids in a three-dimensional staggered lattice structure include, but are not limited to, beams or cables of various materials. All nodes in a three-dimensional staggered lattice structure can be optimized through topology, and all connecting parts can be hollowed out to achieve higher energy absorption.
[0068] As shown in Figure 7, the connecting rods can be set vertically or at an angle. The angled connecting rods can improve the shear resistance. Due to the staggered layers, some connecting rods at the bottom layer can cross the gaps in the middle layer and insert into the nodes at the top layer, forming an interlaced weaving effect. Therefore, the additional connecting rods can be connected across layers, interlacing the upper, middle and lower layers. Furthermore, the additional connecting rods can be connected end to end, forming a closed path from these interlaced long upright rod networks, forming a structure similar to a cross spiral, which provides load-bearing capacity in all directions for the three-dimensional staggered lattice structure, thus improving the load-bearing capacity of the three-dimensional staggered lattice structure in all directions.
[0069] Based on the proposed three-dimensional staggered lattice structure design method derived from two-dimensional meshes, specific structural forms can be designed according to actual usage requirements, and optimization can be achieved using topology optimization, machine learning, and other methods. The designed lattice structure can be manufactured through direct 3D printing, fabricating two-dimensional meshes, and then assembling them.
[0070] In applications where mesh structures have certain requirements for out-of-plane stiffness, this three-dimensional staggered lattice structure design method derived from two-dimensional meshes can be used. The designed staggered lattice structure has a similar weight and space occupation to the original mesh structure, while the out-of-plane stiffness is significantly improved. This staggered lattice structure derived from two-dimensional meshes can also be applied to applications that require filling with three-dimensional staggered lattice structures.
[0071] Example 1
[0072] The following is a specific embodiment of a three-dimensional staggered lattice structure design method derived from two-dimensional meshes:
[0073] Using a 20 mm × 20 mm grid as a unit cell, the plane containing the two-dimensional grid is designated as the xy plane, and the direction perpendicular to this plane is designated as the z direction. The grid is translated by 5 mm along both the x and y directions to form another grid unit cell. The two grid unit cells are separated by a distance in the z direction, thus combining to form a three-dimensional lattice unit cell.
[0074] When the distance in the z-direction prevents two grids from being connected, a rod in the z-direction is added at the intersection of the projections of the two grids onto the xy-plane to connect them. This is the increase in the overall weight of the lattice unit cell. The formula for the critical force under compression of the structure is as follows:
[0075]
[0076] In the formula, For the structural equivalent stiffness Let the moment of inertia of the cross section be... The length of the structure in the compression direction. The length factor (representing the effect of end constraints on the critical force).
[0077] Since the moment of inertia of the designed staggered lattice section is significantly increased compared to the original two-dimensional mesh, theoretically its critical compressive force will be significantly greater than that of the original two-dimensional mesh.
[0078] Figure 2 shows the projection diagrams of two-layer and three-layer three-dimensional staggered lattice unit cells on the xy plane. The bolded parts in Figure 2 represent the lattice unit cells, and each layer of two-dimensional mesh is represented by a different color. Figure 3 shows a three-dimensional model of a two-layer three-dimensional staggered lattice unit cell, including three models with different interlayer stagger displacements. Figure 4 shows a three-dimensional model of a three-layer three-dimensional staggered lattice unit cell, including three different two-dimensional mesh layer arrangements. Figure 5 shows the three-dimensional staggered lattice structure formed by a 3×4 array of two-layer staggered lattice unit cells in Figure 3, including three models with different interlayer stagger displacements.
[0079] To verify the increase in the critical compressive force, a finite element simulation of the above-mentioned three-dimensional staggered lattice structure formed by a 3×4 array of double-layer staggered lattice unit cells in the x and y directions was performed. The two-dimensional mesh beam was 1.5 mm wide and 0.75 mm thick, and the cross-section of the interlayer connecting rods was a 1.5 mm × 1.5 mm square. The Young's modulus of the material was set to 3 GPa, and the Poisson's ratio was 0.3. As shown in Figure 6, finite element simulations were performed on 11 models with interlayer staggered displacements of 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 times the mesh thickness. The constraint at both ends of the model was one end fixed and the other end sliding. First, a linear buckling simulation of the model under compression was performed to obtain its first few buckling modes. It was found that, except for the special case where the misalignment displacement equals the mesh thickness, the order of the bending buckling mode increases with the increase of interlayer distance. Furthermore, the buckling mode of the local buckling mode gradually shifts forward with increasing interlayer distance. Therefore, to avoid performance degradation due to local buckling of the staggered lattice structure, the interlayer misalignment displacement should not be maximized but rather limited to a certain range. Using 0.01 times the bending buckling mode as the initial defect, nonlinear static simulation analysis was performed on the model under compression to obtain the buckling load and the displacement in the y-direction during buckling. It was found that the buckling load increases with the increase of the interlayer misalignment displacement. When the interlayer distance is not too large, the displacement under buckling increases with the increase of the interlayer cross-displacement displacement, but when the cross-displacement reaches 8 times the mesh thickness, the displacement under buckling remains unchanged. The ratio of buckling load to lattice unit cell volume was calculated and found that the value first increases and then decreases with the increase of interlayer stagger displacement, reaching a peak when the stagger displacement is 7 times the mesh thickness. At this point, the out-of-plane stiffness of the structure is significantly enhanced compared with the original two-dimensional mesh structure.
[0080] The above description is merely a preferred embodiment of the present invention. These specific embodiments are different implementations based on the overall concept of the present invention, and the scope of protection of the present invention is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the scope of the technology disclosed in the present invention should be included within the scope of protection of the present invention. Therefore, the scope of protection of the present invention should be determined by the scope of the claims.
Claims
1. A method for designing a three-dimensional staggered lattice structure derived from a two-dimensional mesh, characterized in that, Includes the following steps: Step 1: Form a three-dimensional staggered lattice structure by arraying and displacing two-dimensional grid cells; Step 2: When the displacing distance in Step 1 is less than or equal to the thickness of a single layer of two-dimensional grid cells, no additional connecting rods are needed between adjacent two-dimensional grid cells; when the displacing distance is greater than the thickness of a single layer of two-dimensional grid cells, additional connecting rods are needed between adjacent two-dimensional grid cells; Step 3: When the displacing distance in Step 2 is greater than the thickness of a single layer of two-dimensional grid cells, optimize all nodes in the three-dimensional staggered lattice structure through topology optimization, and optimize the connecting rods by hollowing out the rods.
2. The method for designing a three-dimensional staggered lattice structure derived from a two-dimensional grid according to claim 1, characterized in that, The step one involves forming a three-dimensional interlaced lattice structure from a two-dimensional grid unit cell through arraying and dislocation displacement, which includes two methods: Method one is to first array the two-dimensional grid unit cell and then dislocate it to form a three-dimensional interlaced lattice structure; Method two is to first dislocate the two-dimensional grid unit cell and then array it to form a three-dimensional interlaced lattice structure.
3. The method for designing a three-dimensional staggered lattice structure derived from a two-dimensional grid according to claim 2, characterized in that, The specific steps for forming a three-dimensional interlaced lattice structure by first arraying two-dimensional grid unit cells and then displaced are as follows: Step 11: Arrange multiple two-dimensional grid unit cells in the plane of the two-dimensional grid to form two or more two-dimensional grid layers; Step 12: Arrange the two or more two-dimensional grid layers in the out-of-plane direction. When there is a displacement between two adjacent two-dimensional grid layers in the out-of-plane direction, a three-dimensional interlaced lattice structure is formed.
4. The method for designing a three-dimensional staggered lattice structure derived from a two-dimensional mesh according to claim 2, characterized in that, The specific steps for forming a three-dimensional interlaced lattice structure by first displacing and then arranging two-dimensional grid unit cells are as follows: Step 11: Arrange multiple two-dimensional grid unit cells in the out-of-plane direction so that the number of two-dimensional grid unit cells is the same and there is the same displacing between adjacent two-dimensional grid unit cells in the out-of-plane direction, forming a three-dimensional interlaced lattice unit cell; Step 12: Arrange the three-dimensional interlaced lattice unit cells in the plane of the two-dimensional grid to form a three-dimensional interlaced lattice structure.
5. The method for designing a three-dimensional staggered lattice structure derived from a two-dimensional mesh according to claim 1, characterized in that, The two-dimensional grid cell mentioned in step one is one or a combination of polygonal, circular, and irregular graphic grid cells.
6. The method for designing a three-dimensional staggered lattice structure derived from a two-dimensional mesh according to claim 1, characterized in that, The density of the two-dimensional grid layers in the three-dimensional interlaced lattice structure may be the same or different at different locations, and the shape of each two-dimensional grid layer may be the same or different.
7. The method for designing a three-dimensional staggered lattice structure derived from a two-dimensional mesh according to claim 3, characterized in that, The misalignment displacements mentioned in steps one and two include parallel misalignment displacements and non-parallel misalignment displacements.
8. The method for designing a three-dimensional staggered lattice structure derived from a two-dimensional mesh according to claim 4, characterized in that, The misalignment displacement mentioned in step one is a parallel misalignment displacement.
9. The method for designing a three-dimensional staggered lattice structure derived from a two-dimensional grid according to claim 1, characterized in that, The additional connecting members mentioned in step two are beams or cables.
10. A method for designing a three-dimensional staggered lattice structure derived from a two-dimensional grid, as described in claim 1 or 9, characterized in that, The additional connecting rods mentioned in step two are set vertically or at an angle, and the additional connecting rods are connected through layers or not; the additional connecting rods are connected continuously end to end or discontinuously, and the additional connecting rods form a cross spiral structure or do not form a cross spiral structure.