Modeling, designing and optimizing method for three-dimensional annular buffering and energy-absorbing lattice structure based on additive manufacturing

Abstract

The invention relates to a modeling, designing and optimizing method for a three-dimensional annular buffering and energy-absorbing lattice structure based on additive manufacturing, and belongs to the field of lattice structure modeling, designing and optimizing. The purpose is to improve the light weight and impact resistance and energy absorption capacity of structural equipment. The method integrates the advantages of a negative Poisson's ratio lattice unit cell structure and an additive manufacturing technology, and comprises the following specific implementation steps of innovative three-dimensional lattice unit cell design, key geometric parameter definition, finite element analysis model preparation, convergence verification, parameter analysis and performance evaluation, training set construction, mapping model establishment and multi-objective optimization. The method has the remarkable advantages that the constraint of the additive manufacturing process is considered, the buffer energy absorption performance is remarkably optimized, and beneficial guidance and reference can be provided for related engineering practice.

Description

Technical Field

[0001] The present invention is directed to the field of modeling, design and optimization of buffer energy-absorbing lattice structures, and specifically relates to a modeling, design and optimization method of a buffer energy-absorbing lattice structure taking into account additive manufacturing process constraints. Background Art

[0002] With the continuous improvement of the comprehensive performance requirements of structural equipment in the engineering field, especially in terms of lightweight and impact energy absorption, innovation in materials science and structural design has become the key to promoting technological progress. In many fields of structural innovation, the rapid development of advanced manufacturing technology has greatly promoted the rapid development and application of high-performance structural forms, such as integrated structures, topological optimization structures, lattice structures and porous structures. Among them, the lattice structure, with its unique advantages, provides a new design idea for the lightweight and functional integration of equipment structures with the support of additive manufacturing technology. Therefore, the development of a three-dimensional lattice energy-absorbing structure modeling, design and optimization technology for optimizing buffer energy absorption performance has important engineering application value.

[0003] There are many types of lattice structures, including truss lattices, minimal surface structures, negative Poisson's ratio structures and topological lattice structures. Among them, negative Poisson's ratio structures have attracted much attention due to their unique mechanical properties. In recent years, the modeling, design and performance research of negative Poisson's ratio lattice structures have attracted much attention. Choudhry et al. published "In-plane energy absorption characteristics of a modified re-entrantauxetic structure fabricated via 3D printing" in the journal "Composites Part B: Engineering", 2022, 228: 109437, studying the in-plane energy absorption characteristics of the improved inverse negative Poisson's ratio honeycomb achieved by fused filament manufacturing technology, and conducted parameter analysis and geometric optimization, evaluating the effects of geometric parameters such as truss length ratio and joint angle on its stiffness, strength and energy absorption. Liu Xuchang et al. published "Vibration Damping Performance of a New Chiral Negative Poisson's Ratio Structure" in the Journal of Composite Materials, 2024, 41(1): 477-484, proposing a new cross-shaped negative Poisson's ratio honeycomb structure, and derived its Poisson's ratio analytical formula through the energy method, which was consistent with the finite element results, verifying the effectiveness of the method. CN118346732A, discloses a concave chiral negative Poisson's ratio buffer energy absorption structure, which consists of a number of symmetrical unit cell structures (including central support and rotationally symmetric chiral connecting rods) and upper and lower panels, which enhances the buffer energy absorption characteristics and reduces stress concentration. CN118622889A, discloses a three-dimensional concave composite structure, including a concave part, an equilateral triangle top plate and a bottom plate. The structure has negative Poisson's ratio effect, high compressive strength and good mechanical properties.

[0004] The negative Poisson's ratio structures currently mentioned for buffering and energy absorption are mainly limited to planar structures or their simple stretched and rotated variants. Although such structures exhibit good buffering and energy absorption characteristics due to the good negative Poisson's ratio effect, they are mostly composed of honeycomb and plate-shell structures with a single structural configuration, which not only limits the potential of additive manufacturing technology, but also greatly reduces the applicability of the structure in application scenarios that require specific properties (such as connectivity and porosity). In addition, most of the existing inventions and papers simply apply unit cell structures to flat plates and blocks, and only conduct a preliminary analysis of the performance under fixed structural parameters, lacking a parameter optimization process based on the actual performance of the structure.

[0005] In view of these limitations of the existing technology, it is urgent to develop a modeling, design and optimization method for a three-dimensional lattice structure with a ring configuration for buffering energy absorption performance. This method should be able to achieve lattice filling of complex structures, fully consider the impact of the ring structure on buffering energy absorption performance, and maximize the improvement of buffering energy absorption performance by optimizing structural parameters. This will provide strong support for the application of three-dimensional lattice structures in a wider range of fields. Summary of the invention

[0006] In view of the deficiencies in the prior art, the present invention proposes a modeling, design and optimization method for a three-dimensional annular lattice filling structure for buffering and energy absorption performance. This method designs an innovative three-dimensional truss lattice unit cell structure based on the principle of improving the original unit cell and the hybrid unit cell. The structure takes into account the minimum feature size requirements and the influence of the printing angle on the performance in the additive manufacturing process; and fills the designed innovative unit cell into the annular structure based on the node unit information of the structural grid, and performs a quasi-static finite element simulation analysis on the annular lattice structure; on this basis, the geometric parameters of the lattice structure are optimized to maximize the buffering and energy absorption performance. Through this method, a performance database of annular lattice structures with different geometric parameters is obtained, and an RBFNN model is fitted based on the database. Finally, a annular lattice structure with excellent buffering and energy absorption performance and full consideration of the additive manufacturing process constraints is obtained through multi-objective optimization.

[0007] The technical solution of the present invention is as follows:

[0008] A modeling, design and optimization method for a three-dimensional annular buffer energy-absorbing lattice structure based on additive manufacturing, the method comprising the following steps in sequence:

[0009] a. By improving the two-dimensional concave honeycomb lattice unit cell structure 2D-Re and using the hybrid unit cell principle, an innovative three-dimensional lattice unit cell structure is designed that takes into account the process constraints of additive manufacturing;

[0010] b. Clarify and define the geometric parameters and ranges of the innovative three-dimensional lattice unit cell structure;

[0011] c. Using the node unit information of the finite element mesh, the innovative three-dimensional lattice unit cell structure is filled into the ring structure and converted into a three-dimensional lattice grid structure suitable for finite element analysis;

[0012] d. Verify the convergence of the finite element analysis parameters of the three-dimensional lattice grid structure to ensure the accuracy of the analysis results;

[0013] e. generating an arithmetic sequence within the geometric parameter range of the innovative three-dimensional lattice unit cell structure, and performing a single factor analysis to evaluate the effects of different parameters on the buffering energy absorption performance, and determining the type of geometric parameters that can be used for subsequent optimization;

[0014] f. Using the determined geometric parameter type and its value range, the optimal Latin hypercube method is used to generate sample points, and the specific values ​​of the geometric parameters corresponding to the sample points are used to generate new innovative three-dimensional lattice unit cells of different sizes. Quasi-static finite element analysis is performed through the new innovative three-dimensional lattice unit cells to extract the corresponding buffer energy absorption performance indicators, thereby forming an initial training set;

[0015] g. Constructing a mapping model based on a radial basis neural network RBFNN and training the RBFNN using the initial training set;

[0016] h. Apply the non-dominated sorting genetic algorithm NSGA-Ⅱ, combined with the trained RBFNN model, to perform multi-objective optimization to find the optimal combination of geometric parameters of the three-dimensional lattice grid structure.

[0017] Further, step a is specifically as follows: on the basis of the two-dimensional concave honeycomb lattice unit cell structure 2D-Re, the four corner points of the two-dimensional quadrilateral of 2D-Re are analogized to obtain the eight corner point structures of the three-dimensional hexahedron, and a basic three-dimensional lattice unit cell structure is formed inside the three-dimensional hexahedron according to the shape of the two-dimensional concave honeycomb lattice unit cell structure, and the shapes of the projections of the basic three-dimensional lattice unit cell structure in the front, back, left and right directions are the same as those of the two-dimensional concave honeycomb lattice unit cell structure; the remaining parts of the basic three-dimensional lattice unit cell structure after removing the eight corner point structures are replaced with different unit cell configurations, thereby forming a variety of new three-dimensional lattice unit cell structures, and based on the buffering energy absorption performance and additive manufacturing process constraints, innovative three-dimensional lattice unit cell structures are selected from a variety of new three-dimensional lattice unit cell structures. The different unit cell configurations include BFCC units with the bottom rod and the top rod removed; the BFCC unit cell is composed of a body-centered cubic BCC and a face-centered cubic FCC structure, and the corner point structure is composed of a vertical short rod and an inclined rod.

[0018] Furthermore, assuming that the plane where the two-dimensional concave honeycomb lattice unit cell structure is located is the XY projection plane, the geometric parameters in step b specifically include: the ratio of the vertical short rods in the innovative three-dimensional lattice unit cell structure to the Y-direction height of the innovative three-dimensional lattice unit cell structure, the ratio of the Y-direction height of different unit cell configurations to the Y-direction height of the innovative three-dimensional lattice unit cell structure, the ratio of the projection area of ​​different unit cell configurations in the XY projection plane to the projection area of ​​the innovative three-dimensional lattice unit cell structure in the XY projection plane, and the cross-sectional radius of the rods in the innovative three-dimensional lattice unit cell structure; by adjusting these four parameters, a lattice structure with the same configuration but different performance can be obtained.

[0019] Furthermore, the finite element analysis parameters in step d include beam unit size and analysis step time.

[0020] Furthermore, the single factor analysis process in step e is to fix the remaining geometric parameters, analyze one of the geometric parameters one by one based on the arithmetic sequence, and extract the corresponding buffer energy absorption performance index.

[0021] Furthermore, when the RBFNN is trained using the initial training set in step g, it is necessary to decide whether to supplement the training set data and the location of the supplementary data based on the accuracy of the trained RBFNN model, so as to finally obtain a RBFNN model that meets the required accuracy.

[0022] Furthermore, the NSGA-II algorithm described in step h is optimized with the goal of maximizing the buffering energy absorption performance while satisfying the constraints of the geometric parameter range of the innovative three-dimensional lattice unit cell structure.

[0023] The three-dimensional annular buffer energy absorption lattice structure designed by the three-dimensional annular buffer energy absorption lattice structure modeling, design and optimization method based on additive manufacturing has excellent lightweight and impact energy absorption performance.

[0024] Beneficial effects of the present invention:

[0025] (1) The designed unit cell fully considers the process constraints of additive manufacturing, making the final designed lattice structure easy to manufacture.

[0026] (2) The innovative three-dimensional lattice unit cell not only avoids the formation of a three-dimensional lattice unit cell by simple stretching and rotation of 2D-Re, but also has better buffering and energy absorption performance, and the unit cell is completely composed of rods.

[0027] (3) Based on the trained RBFNN model, multi-objective optimization was carried out to obtain a three-dimensional annular lattice structure with better buffering and energy absorption performance. BRIEF DESCRIPTION OF THE DRAWINGS

[0028] Figure 1 is a schematic diagram of the design of the present invention and different unit cell configurations for reference;

[0029] Figure 2 It is a schematic diagram of the innovative three-dimensional lattice unit cell structure of the present invention;

[0030] Figure 3 It is a schematic diagram of geometric parameters of the innovative three-dimensional lattice unit cell of the present invention;

[0031] Figure 4 It is a schematic diagram of the process of filling the ring structure with a lattice according to the present invention;

[0032] Figure 5 It is a scatter plot of the spatial distribution of geometric parameters of the initial training set generated based on the optimal Latin hypercube of the present invention;

[0033] Figure 6It is a scatter bubble diagram of the fitting accuracy distribution of the RBFNN model of the present invention;

[0034] Figure 7 It is the Pareto dissolution point diagram generated by 150 times of NSGA-II multi-objective optimization of the present invention;

[0035] Figure 8 It is a flow chart of the present invention. DETAILED DESCRIPTION

[0036] In order to better illustrate the technical solution of the present invention, an implementation example provided by the present invention is described in detail below.

[0037] In the present invention, firstly, the buffering and energy absorption performance of the lattice unit cell and the process constraints of additive manufacturing are comprehensively considered, and a new three-dimensional unit cell configuration is designed to fill the structure by improving the 2D-Re and hybrid unit cells. Secondly, the geometric parameters of the unit cell structure are defined to achieve parameter analysis of the lattice filling structure, and a geometric parameter sequence in the training set is generated based on this. Thirdly, by performing quasi-static finite element analysis on the training set and extracting the buffering performance index parameters, a lattice unit cell performance database is built, and a mapping model between the geometric parameters of the unit cell structure and the performance is established using RBFNN. Fourthly, in order to complete the above work, an automated program set including modeling, analysis, model fitting, multi-objective optimization, and data visualization has been developed.

[0038] The purpose of the present invention is achieved through the following technical solution, and the steps are as follows:

[0039] First, based on factors such as lattice buffering and energy absorption performance and additive manufacturing process constraints, different types of lattice unit cells were studied, and the influence of lattice configuration and parameters on structural performance was studied. Then, based on 2D-Re, the four corner points of the two-dimensional quadrilateral were converted into eight corner points of a three-dimensional hexahedron by improving 2D-Re and hybrid unit cells, and different unit cell configurations were designed inside the hexahedron to imitate the points that form a concave honeycomb inside the two-dimensional quadrilateral. Then, the unit cells were modeled and performance analyzed, and innovative three-dimensional lattice unit cell structures with excellent buffering and energy absorption performance were selected.

[0040] Secondly, the RBFNN model was trained based on finite element simulation data to establish a mapping relationship between the geometric parameters of the unit cell structure and its performance, providing a basis for subsequent multi-objective optimization.

[0041] Finally, based on NSGA-Ⅱ, multi-objective optimization was carried out on the three-dimensional ring lattice structure to obtain the optimized three-dimensional ring lattice structure.

[0042] The specific steps are as follows:

[0043] S1. On the basis of the two-dimensional concave honeycomb lattice unit cell structure 2D-Re, the four corner points of the two-dimensional quadrilateral of 2D-Re are analogized to obtain the eight corner point structure of the three-dimensional hexahedron, and a basic three-dimensional lattice unit cell structure is formed inside the three-dimensional hexahedron according to the shape of the two-dimensional concave honeycomb lattice unit cell structure. The shapes of the projections in the front, back, left and right directions of the basic three-dimensional lattice unit cell structure are the same as those of the two-dimensional concave honeycomb lattice unit cell structure; the remaining part of the basic three-dimensional lattice unit cell structure after removing the eight corner point structures is replaced with a different unit cell configuration (the schematic diagram of the formation is shown in FIG. Figure 2 As shown in the figure), a variety of new three-dimensional lattice unit cell structures are formed. The schematic diagrams of different unit cell configurations are shown in Figure 1 As shown. Based on the energy absorption performance and additive manufacturing process constraints, the designed unit cell is compared with the 3D-Re structure, and an innovative three-dimensional lattice unit cell structure is selected from a variety of new three-dimensional lattice unit cell structures. The different unit cell configurations include BFCC unit cells with the bottom and top rods removed; the BFCC unit cell is composed of a body-centered cubic BCC and a face-centered cubic FCC structure, and the corner point structure is composed of vertical short rods and oblique rods.

[0044] The buffering energy absorption performance involved is as follows:

[0045] (1) Specific Energy Absorption (SEA):

[0046]

[0047] (2) When the equivalent strain is less than 20%, the maximum equivalent stress (FP) is:

[0048] FP=max(σ(ε)),(ε≤20%) (1.2)

[0049] S2, the innovative three-dimensional lattice unit cell structure contains four geometric parameters. By adjusting these four parameters, we can get the same configuration but different performance lattice structures. Assume that the plane where the two-dimensional concave honeycomb lattice unit cell structure is located is the XY projection plane, and the geometric parameters of the innovative three-dimensional lattice unit cell are as follows:

[0050] (1) The ratio of the vertical short rods in the innovative three-dimensional lattice unit cell structure to the Y-direction height of the innovative three-dimensional lattice unit cell structure: R EH

[0051] (2) The ratio of the Y-height of different unit cell configurations without the bottom and top rods to the Y-height of the innovative three-dimensional lattice unit cell structure: R VH

[0052] (3) The ratio of the projection area of ​​different unit cell configurations without the bottom rod and the top rod on the XY projection plane to the projection area of ​​the innovative three-dimensional lattice unit cell structure on the XY projection plane: R BFI

[0053] (4) The cross-sectional radius of the rod in the innovative three-dimensional lattice unit cell structure: R C

[0054] Among them, R EH The range is: (0.0, 0.5), R VH The range is: (0.5,1.0), R BFI The range is: (0.0,1.0), R C The range is: [0.75,1.50], the geometric parameter diagram is as follows Figure 3 As shown;

[0055] S3, through the innovative unit cell structure geometric parameters and the eight corner points of the hexahedron, calculate the position of the internal nodes of the innovative unit cell structure, the rod length, and the angle between the rod and the Z-direction, then create straight lines through these parameters and assemble them into an innovative unit cell structure, and finally fill the unit cell lattice structure into a ring structure through the node unit information based on the structure division grid, and transform it into a ring lattice grid structure that can directly perform quasi-static finite element analysis. The filling transformation process is as follows: Figure 4 As shown;

[0056] S4, during finite element analysis, the finite element parameters of the ring lattice grid structure: beam unit size, analysis step length are used for convergence verification, and the beam unit size and analysis step length that meet the convergence requirements and are moderately efficient are selected; the finite element parameter sequence of the ring lattice grid structure is as follows (this sequence is for this special case, and the finite element parameter sequence of different unit cell sizes is different):

[0057] (1) Beam element size: L ele : [3.2 2.9 2.6 2.3 2.0 1.7 1.4 1.1 0.8 0.5]

[0058] (2) Analysis step time: T ste : [0.01 0.03 0.05 0.07 0.09]

[0059] Perform finite element analysis based on the finite element parameter sequence, and finally determine the beam element size and analysis step time that meet the convergence requirements and are moderately efficient;

[0060] S5, generate an arithmetic sequence within the range of the geometric parameters of the innovative three-dimensional lattice unit cell for parameter analysis of the ring lattice structure. The arithmetic sequence of the geometric parameters of the innovative three-dimensional lattice unit cell is as follows:

[0061] (1)R EH : [0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45]

[0062] (2)RVH : [0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95]

[0063] (3)R BFI : [0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9]

[0064] (4)R C : [0.75 0.85 0.95 1.05 1.15 1.25 1.35 1.45 1.55]

[0065] With the buffer energy absorption performance index as the dependent variable and the geometric parameters of the ring lattice structure as the independent variable, a single factor analysis was conducted to obtain the influence of the geometric parameters of the innovative unit cell structure on the buffer energy absorption performance of the structure. Finally, based on the influence of the geometric parameters on the buffer energy absorption performance, the structural geometric parameters for subsequent optimization were determined. Since the above geometric parameters all have a significant impact on the buffer energy absorption performance of the structure, they will all be used as design variables for subsequent optimization.

[0066] S6, when the mapping characteristics between geometric parameters and structural performance are unknown, in order to avoid missing some important feature positions in the initial training set, it is hoped that the generated training set should cover the parameter space as much as possible. Therefore, the geometric parameter sequence used to create the training set is generated by the optimal Latin hypercube. The scatter plot of the geometric parameter space distribution is shown in Figure 5 As shown, the quasi-static finite element analysis is performed cyclically to extract the corresponding buffer energy absorption performance index, thereby forming an initial training set;

[0067] S7, based on radial basis neural network (RBFNN), RBFNN is trained through the initial training set, and according to the accuracy of the trained RBFNN model, it is decided whether to supplement the training set data and the location of the supplementary data. The scatter bubble diagram of the RBFNN model fitting accuracy distribution is shown in Figure 6 As shown, the RBFNN model that meets the required accuracy is finally obtained;

[0068] S8, based on the non-dominated sorting genetic algorithm (NSGA-Ⅱ), using the trained RBFNN model, with the goal of optimizing the buffer energy absorption performance, under the constraints of the innovative three-dimensional lattice unit cell geometric parameter range, the geometric parameters of the ring lattice structure are optimized. The Pareto scatter point diagram generated by 150 times of NSGA-Ⅱ multi-objective optimization is shown in the figure. Figure 7 As shown, a three-dimensional annular lattice structure with excellent buffering and energy absorption and taking into account the constraints of the additive manufacturing process is finally obtained.

[0069] The optimized design results of this example were verified by finite element analysis, ensuring low FP, high SEA, and keeping the structure volume ratio below 50%. It can be foreseen that the modeling, design and optimization methods of the three-dimensional annular buffer energy absorption lattice structure based on additive manufacturing will provide useful guidance for engineering practice.

Claims

1. A modeling, design and optimization method for a three-dimensional annular buffer energy-absorbing lattice structure based on additive manufacturing, characterized in that: The method comprises the following steps in sequence: a. By improving the two-dimensional concave honeycomb lattice unit cell structure 2D-Re and using the hybrid unit cell principle, an innovative three-dimensional lattice unit cell structure is designed that takes into account the process constraints of additive manufacturing; b. Clarify and define the geometric parameters and ranges of the innovative three-dimensional lattice unit cell structure; c. Using the node unit information of the finite element mesh, the innovative three-dimensional lattice unit cell structure is filled into the ring structure and converted into a three-dimensional lattice grid structure suitable for finite element analysis; d. Verify the convergence of the finite element analysis parameters of the three-dimensional lattice grid structure to ensure the accuracy of the analysis results; e. generating an arithmetic sequence within the geometric parameter range of the innovative three-dimensional lattice unit cell structure, and performing a single factor analysis to evaluate the effects of different parameters on the buffering energy absorption performance, and determining the type of geometric parameters that can be used for subsequent optimization; f. Using the determined geometric parameter type and its value range, the optimal Latin hypercube method is used to generate sample points, and the specific values ​​of the geometric parameters corresponding to the sample points are used to generate new innovative three-dimensional lattice unit cells of different sizes. Quasi-static finite element analysis is performed through the new innovative three-dimensional lattice unit cells to extract the corresponding buffer energy absorption performance indicators, thereby forming an initial training set; g. Constructing a mapping model based on a radial basis neural network RBFNN and training the RBFNN using the initial training set; h. Apply the non-dominated sorting genetic algorithm NSGA-Ⅱ, combined with the trained RBFNN model, to perform multi-objective optimization to find the optimal combination of geometric parameters of the three-dimensional lattice grid structure.

2. The modeling, design and optimization method of a three-dimensional annular buffer energy-absorbing lattice structure based on additive manufacturing according to claim 1 is characterized in that: Step a is specifically as follows: on the basis of the two-dimensional concave honeycomb lattice unit cell structure 2D-Re, the four corner points of the two-dimensional quadrilateral of 2D-Re are analogized to obtain the eight corner point structure of a three-dimensional hexahedron, and a basic three-dimensional lattice unit cell structure is formed inside the three-dimensional hexahedron according to the shape of the two-dimensional concave honeycomb lattice unit cell structure, and the shapes of the projections in the four directions of front, back, left and right of the basic three-dimensional lattice unit cell structure are the same as those of the two-dimensional concave honeycomb lattice unit cell structure; the remaining parts of the basic three-dimensional lattice unit cell structure after removing the eight corner point structures are replaced with different unit cell configurations, thereby forming a variety of new three-dimensional lattice unit cell structures, and based on the buffering energy absorption performance and additive manufacturing process constraints, an innovative three-dimensional lattice unit cell structure is selected from a variety of new three-dimensional lattice unit cell structures; the different unit cell configurations include a BFCC unit cell with the bottom rod and the top rod removed; the BFCC unit cell is composed of a body-centered cubic BCC and a face-centered cubic FCC structure, and the corner point structure is composed of a vertical short rod and an inclined rod.

3. The modeling, design and optimization method of a three-dimensional annular buffer energy-absorbing lattice structure based on additive manufacturing according to claim 2 is characterized in that: Assume that the plane where the two-dimensional concave honeycomb lattice unit cell structure is located is the XY projection plane, and the geometric parameters in step b specifically include: the ratio of the vertical short rods in the innovative three-dimensional lattice unit cell structure to the Y-direction height of the innovative three-dimensional lattice unit cell structure, the ratio of the Y-direction height of different unit cell configurations to the Y-direction height of the innovative three-dimensional lattice unit cell structure, the ratio of the projection area of ​​different unit cell configurations in the XY projection plane to the projection area of ​​the innovative three-dimensional lattice unit cell structure in the XY projection plane, and the cross-sectional radius of the rods in the innovative three-dimensional lattice unit cell structure; by adjusting these four parameters, a lattice structure with the same configuration but different performance can be obtained.

4. The modeling, design and optimization method of a three-dimensional annular buffer energy-absorbing lattice structure based on additive manufacturing according to claim 1 is characterized in that: The finite element analysis parameters in step d include beam element size and analysis step time.

5. The modeling, design and optimization method of a three-dimensional annular buffer energy-absorbing lattice structure based on additive manufacturing according to claim 1 is characterized in that: The single factor analysis process in step e is to fix the remaining geometric parameters, analyze one of the geometric parameters one by one based on the arithmetic sequence, and extract the corresponding buffer energy absorption performance index.

6. The modeling, design and optimization method of a three-dimensional annular buffer energy-absorbing lattice structure based on additive manufacturing according to claim 1 is characterized in that: When the RBFNN is trained using the initial training set in step g, it is necessary to decide whether to supplement the training set data and the location of the supplementary data based on the accuracy of the trained RBFNN model, so as to finally obtain an RBFNN model that meets the required accuracy.

7. The modeling, design and optimization method of a three-dimensional annular buffer energy absorption lattice structure based on additive manufacturing according to claim 1 is characterized in that: The NSGA-II algorithm described in step h aims to maximize the buffering energy absorption performance while optimizing the geometric parameter range constraints of the innovative three-dimensional lattice unit cell structure.

8. The three-dimensional annular buffer energy absorption lattice structure designed by the three-dimensional annular buffer energy absorption lattice structure modeling, design and optimization method based on additive manufacturing according to any one of claims 1 to 7 is characterized in that: The structure has excellent lightweight and impact resistance and energy absorption performance.

Images