Conformal design method for energy-absorbing lattice structure facing complex geometric shape
Through the conformal transformation of cellular elements of TPMS dot matrix structure, the conformal adaptation problem of three-dimensional dot matrix structure in complex geometric shapes is solved, efficient design and energy absorption performance are achieved, and the engineering application needs are met.
Patent Information
- Application Number
- CN202510243861.0
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-03-03
- Publication Date
- 2025-07-08
AI Technical Summary
The prior art is difficult to design conformal adaptation of three-dimensional lattice structures on complex geometric shapes, resulting in smoothness failure and energy absorption performance degradation, especially the lack of effective multi-dimensional conformal optimization when facing complex geometric shapes.
The conformal transformation method of TPMS dot matrix structure cell elements is adopted, and the target radius and circumferential-axial coupling conformal transformation is determined to achieve efficient design of three-dimensional lattice structure in complex geometric shapes.
It realizes efficient design of three-dimensional lattice structures in complex geometric shapes, enhances energy absorption characteristics, meets actual engineering application needs, and avoids the destructive influence of traditional design methods.
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Figure CN120277823A_ABST
Abstract
Description
Technical Field
[0001] The present invention belongs to the field of energy-absorbing lattice structure design, and particularly relates to a conformal design method for energy-absorbing lattice structures for complex geometric shapes. Background Art
[0002] In the fields of aerospace, automotive, etc., lightweight design of structures and energy absorption capabilities are key indicators for improving overall performance. As a key component that can effectively absorb energy under extreme conditions such as collision and impact, an energy-absorbing structure can not only effectively reduce the damage degree of the structure, but also improve safety and service life, thus receiving wide attention. How to design a structure with high energy absorption performance has always been a hot and difficult issue in related fields of research.
[0003] Due to its periodicity, lightweight, and excellent mechanical properties, the lattice structure has become an important choice in the design of energy-absorbing structures. Among them, the lattice structure represented by the Triply Periodic Minimal Surface (TPMS) lattice structure shows significant application advantages by virtue of its continuous and smooth surface, excellent specific strength and specific stiffness, and good energy absorption characteristics during deformation. The unique geometric characteristics of the TPMS lattice structure enable it to exhibit excellent energy absorption capacity under complex stress states, and in terms of additive manufacturing, the TPMS lattice structure also has good self-supporting properties and has gradually become a research hotspot for energy-absorbing structures. However, the application of such lattice structures faces many challenges when facing complex geometric shapes.
[0004] Generally speaking, the square lattice structure is usually designed to be suitable for regular geometric shapes and it is difficult to effectively adapt to structures with complex shapes. Especially for the TPMS lattice structure, directly using traditional Boolean operations for geometric construction often leads to the destruction of the smoothness of the lattice structure surface, thereby affecting its energy absorption. In addition, traditional lattice structure design methods lack optimization and conformal adjustment of the geometric characteristics of lattice cells when adapting to complex geometric shapes, and the design results usually cannot meet the actual engineering requirements. Therefore, conformal design of three-dimensional lattice structures is required.
[0005] Currently, research on the conformal design of three-dimensional lattice structures mainly focuses on conformal design within a two-dimensional plane. However, complex geometric shapes usually contain multi-dimensional spatial geometric characteristics, and methods that only consider two-dimensional plane conformal transformation are difficult to meet the requirements of actual engineering for three-dimensional space adaptability; especially the research on three-dimensional conformal design involving circumferential-axial coupling is not sufficient, and the multi-dimensional conformal optimization problem in the design for complex geometric shapes needs to be solved urgently. Therefore, developing a design method that can achieve conformal transformation in three-dimensional space is of great value for improving the engineering applicability and functional adaptability of three-dimensional lattice structures in complex geometric shapes. Summary of the Invention
[0006] Aiming at the deficiencies of the above-mentioned existing technologies, the purpose of the present invention is to provide a conformal design method for an energy-absorbing lattice structure facing complex geometric shapes, so as to solve the problem that the design of the TPMS lattice structure in the existing technology is difficult to adapt to complex geometric shapes; the method of the present invention realizes the efficient design of the three-dimensional lattice structure in complex geometric shapes and improves its energy-absorbing characteristics through the conformal transformation of the TPMS lattice structure cells.
[0007] To achieve the above purpose, the technical solution adopted by the present invention is as follows:
[0008] A conformal design method for an energy-absorbing lattice structure facing complex geometric shapes of the present invention comprises the following steps:
[0009] 1) Design the housing of the energy-absorbing lattice structure to determine the geometric dimension parameters of the housing and the housing sandwich layer;
[0010] 2) According to the characteristics of the housing and the housing sandwich layer designed in step 1), determine the target radius of the cell transformation in two cases of circumferential conformal transformation and circumferential-axial coupling conformal transformation;
[0011] 3) Select the TPMS cell type, and design the TPMS lattice structure cells according to the target radius of the conformal transformation calculated in step 2) to determine the geometric dimension parameters of the primitive cells;
[0012] 4) Based on the primitive cell size determined in step 3), realize the conformal transformation of the lattice structure cells in two cases through the corresponding structural geometric conformal transformation relationship, and perform a circular array on the cells that have completed the conformal transformation to form the TPMS lattice structure sandwich layer;
[0013] 5) Fill the TPMS lattice structure sandwich layer into the structural housing to complete the conformal design of the energy-absorbing lattice structure facing complex geometric shapes.
[0014] Further, the geometric dimension parameters in step 1) include: the inner radius R1 of the housing, the outer radius R2 of the housing, the inner height H of the housing, the inner fillet r1 of the housing, the outer fillet r2 of the housing, the solid height H1 of the housing sandwich layer, the thickness t3 of the housing sandwich layer, the inner wall thickness t1 of the housing sandwich layer, the outer wall thickness t2 of the housing sandwich layer, the inner radius of the housing sandwich layer the outer radius of the housing sandwich layer the inner fillet radius r3 of the housing sandwich layer and the outer fillet radius r4 of the housing sandwich layer. Among them, the calculation formulas for the inner radius and the outer radius of the housing sandwich layer are as follows:
[0015]
[0016] Furthermore, in the step 2), the calculation formulas for the target radii of the cell transformation in the cases of circumferential conformal transformation and circumferential-axial coupled conformal transformation are as follows:
[0017]
[0018] In the formula, R 周 is the target radius of the circumferential conformal transformation; R 轴 is the target radius of the axial conformal transformation; is the inner radius of the shell sandwich layer; is the outer radius of the shell sandwich layer; r3 is the fillet radius of the inner wall of the shell sandwich layer; r4 is the fillet radius of the outer wall of the shell sandwich layer.
[0019] Furthermore, the geometric dimension parameters of the original cell in the step 3) include the length l, width d, height h and wall thickness Δt of the original cell in the cases of circumferential conformal transformation and circumferential-axial coupled conformal transformation;
[0020] In the case of circumferential conformal transformation, the calculation formula for the cell size is as follows:
[0021]
[0022] In the formula, N τ is the number of circumferential cells, θ1 is the included angle of the cells after circumferential conformal transformation, R 周 is the target radius of the circumferential conformal transformation, H is the height of the inner cavity of the shell, H1 is the height of the solid region at the top of the shell, r1 is the fillet radius inside the shell, N z is the number of cells in the axial direction during circumferential conformal transformation, t3 is the thickness of the shell sandwich layer, (x1, y1, z1) is the rectangular coordinate of the lattice structure cell after circumferential conformal transformation; (x, y, z) is the rectangular coordinate of the lattice structure cell before circumferential conformal transformation;
[0023] In the case of circumferential-axial coupled transformation, the length and width of the original cell are the same as those in the case of circumferential conformal transformation, and the calculation formula for the height is as follows:
[0024]
[0025] In the formula, N z′ is the number of cells in the axial direction during circumferential-axial coupled conformal transformation, θ2 is the included angle of the cells after axial conformal transformation, R-axis is the target radius of the axial conformal transformation, (x1′, y1′, z1′) is the rectangular coordinate of the lattice structure cell after circumferential-axial coupled conformal transformation; (x′, y′, z′) is the rectangular coordinate of the lattice structure cell before circumferential-axial coupled conformal transformation;
[0026] The wall thickness Δt of the primitive cell needs to be determined in combination with engineering applications and actual conditions, and an appropriate value should be set according to the size of the primitive cell.
[0027] Furthermore, the step 4) specifically includes:
[0028] The circumferential geometric conformal transformation relationship is as follows:
[0029]
[0030] Where, (x1, y1, z1) is the rectangular coordinate system coordinate of the lattice structure cell after the circumferential conformal transformation; (x, y, z) is the rectangular coordinate system coordinate of the lattice structure cell before the circumferential conformal transformation; R 周 is the target radius of the circumferential conformal transformation;
[0031] The geometric conformal transformation relationship of circumferential-axial coupling is as follows:
[0032]
[0033] Where, (x1′, y1′, z1′) is the rectangular coordinate system coordinate of the lattice structure cell after the circumferential-axial coupling conformal transformation; (x′, y′, z′) is the rectangular coordinate system coordinate of the lattice structure cell before the circumferential-axial coupling conformal transformation; R 周 is the target radius of the circumferential conformal transformation; R 轴 is the target radius of the axial conformal transformation.
[0034] Beneficial effects of the present invention:
[0035] The method of the present invention realizes the efficient design of three-dimensional lattice structures in complex geometric shapes by conformal transformation of cells in two cases: circumferential conformal transformation and circumferential-axial coupled conformal transformation. It avoids the destruction of the three-dimensional lattice structure in traditional design methods, enhances the energy absorption characteristics of the energy-absorbing lattice structure in complex geometric shapes, and can meet the actual engineering application needs. BRIEF DESCRIPTION OF THE DRAWINGS
[0036] Figure 1 Flow chart of the method of the present invention.
[0037] Figure 2a Schematic diagram of shell parameters of energy-absorbing lattice structure.
[0038] Figure 2b Schematic diagram of parameters of the shell lattice structure sandwich layer of the energy-absorbing lattice structure.
[0039] Figure 3 Schematic diagram of the target radius for the circumferential conformal transformation of the lattice structure cell.
[0040] Figure 4Schematic diagram of the target radius for the axial conformal transformation of the lattice structure cell
[0041] Figure 5a Schematic diagram of the size of the original cell in the case of circumferential conformal transformation
[0042] Figure 5b Schematic diagram of the size of the original cell in the case of circumferential-axial coupled conformal transformation
[0043] Figure 6 Schematic diagram of the implementation process of the circumferential conformal transformation of the lattice structure cell
[0044] Figure 7 Schematic diagram of the implementation process of the circumferential-axial coupled conformal transformation of the lattice structure cell
[0045] Figure 8 Effect diagram of the circumferential array of cells after circumferential conformal transformation
[0046] Figure 9 Effect diagram of the circumferential array of cells after circumferential-axial coupled conformal transformation Detailed implementation manner
[0047] For the convenience of those skilled in the art to understand, the present invention will be further described below in conjunction with embodiments and the accompanying drawings. The content mentioned in the implementation manner does not limit the present invention.
[0048] Refer to Figure 1 As shown, a conformal design method for an energy-absorbing lattice structure facing complex geometric shapes of the present invention is as follows:
[0049] 1) Design the shell of the energy-absorbing lattice structure, and determine the geometric dimension parameters of the shell and the shell sandwich layer, as shown in Figure 2;
[0050] Among them, the geometric dimension parameters include: the inner radius R1 of the shell, the outer radius R2 of the shell, the inner height H of the shell, the inner fillet radius r1 of the shell, the outer fillet radius r2 of the shell, the solid height H1 of the shell sandwich layer, the thickness t3 of the shell sandwich layer, the inner wall thickness t1 of the shell sandwich layer, the outer wall thickness t2 of the shell sandwich layer, the inner radius of the shell sandwich layer The outer radius of the shell sandwich layer The inner wall fillet radius r3 of the shell sandwich layer and the outer wall fillet radius r4 of the shell sandwich layer. Among them, the calculation formulas for the inner radius and the outer radius of the shell sandwich layer are as follows:
[0051]
[0052] 2) Based on the characteristics of the designed shell and the sandwich layer of the shell in step 1), determine the target radius of the unit cell transformation in the cases of circumferential conformal transformation and circumferential-axial coupled conformal transformation. The schematic diagrams of the target radius are shown in Figure 3 and Figure 4 respectively, and the calculation formulas are as follows:
[0053]
[0054] In the formula, R 周 is the target radius of the circumferential conformal transformation; R 轴 is the target radius of the axial conformal transformation; is the inner radius of the sandwich layer of the shell; is the outer radius of the sandwich layer of the shell; r3 is the inner wall fillet radius of the sandwich layer of the shell; r4 is the outer wall fillet radius of the sandwich layer of the shell.
[0055] 3) Select the TPMS unit cell type, and design the TPMS lattice structure unit cell according to the target radius of the conformal transformation calculated in step 2), and determine the geometric dimension parameters of the primitive unit cell;
[0056] Among them, the geometric dimension parameters of the primitive unit cell in step 3) include the length l, width d, height h and wall thickness Δt of the primitive unit cell in the cases of circumferential conformal transformation and circumferential-axial coupled conformal transformation;
[0057] In the case of circumferential conformal transformation, the dimensions of the primitive unit cell are shown in Figure 5a respectively, and the calculation formulas are as follows:
[0058]
[0059] In the formula, N τ is the number of circumferential unit cells, θ1 is the included angle of the unit cell after circumferential conformal transformation, R 周 is the target radius of the circumferential conformal transformation, H is the height of the inner cavity of the shell, H1 is the height of the solid region at the top of the shell, r1 is the inner fillet radius of the shell, N z is the number of unit cells in the axial direction during circumferential conformal transformation, t3 is the thickness of the sandwich layer of the shell, (x1, y1, z1) is the rectangular coordinate system coordinate of the lattice structure unit cell after circumferential conformal transformation; (x, y, z) is the rectangular coordinate system coordinate of the lattice structure unit cell before circumferential conformal transformation;
[0060] In the case of circumferential-axial coupled transformation, the dimensions of the primitive unit cell are shown in Figure 5b respectively. The length and width of the primitive unit cell are the same as those in the case of circumferential conformal transformation, and the calculation formula for the height is as follows:
[0061]
[0062] In the formula, N z′$n$ is the number of cells in the axial direction during circumferential-axial coupled conformal transformation, $\theta_2$ is the included angle of the cells after axial conformal transformation, $R_{axis}$ is the target radius of axial conformal transformation, and $(x_1', y_1', z_1')$ are the rectangular coordinate system coordinates of the lattice structure cell after circumferential-axial coupled conformal transformation; $(x', y', z')$ are the rectangular coordinate system coordinates of the lattice structure cell before circumferential-axial coupled conformal transformation;
[0063] The wall thickness $\Delta t$ of the original cell needs to be determined in combination with engineering applications and actual situations, and a suitable value is set according to the size of the original cell.
[0064] 4) Based on the size of the original cell determined in step 3), the conformal transformation of the lattice structure cell in two cases is realized through the corresponding structural geometric conformal transformation relationship. The realization processes of circumferential conformal transformation and circumferential-axial coupled conformal transformation are respectively as Figure 6 and Figure 7 shown; specifically including:
[0065] The circumferential geometric conformal transformation relationship is as follows:
[0066]
[0067] In the formula, $(x_1, y_1, z_1)$ are the rectangular coordinate system coordinates of the lattice structure cell after circumferential conformal transformation; $(x, y, z)$ are the rectangular coordinate system coordinates of the lattice structure cell before circumferential conformal transformation; $R$ 周 is the target radius of circumferential conformal transformation;
[0068] The circumferential-axial coupled geometric conformal transformation relationship is as follows:
[0069]
[0070] In the formula, $(x_1', y_1', z_1')$ are the rectangular coordinate system coordinates of the lattice structure cell after circumferential-axial coupled conformal transformation; $(x', y', z')$ are the rectangular coordinate system coordinates of the lattice structure cell before circumferential-axial coupled conformal transformation; $R$ 周 is the target radius of circumferential conformal transformation; $R$ 轴 is the target radius of axial conformal transformation;
[0071] The cells that have completed the conformal transformation are circularly arrayed to form the TPMS lattice structure sandwich layer. The effects after the array in the two cases are respectively as Figure 8 and Figure 9 shown.
[0072] 5) Fill the TPMS lattice structure sandwich layer into the structural shell to complete the conformal design of the energy-absorbing lattice structure for complex geometric shapes.
[0073] The specific application ways of the present invention are numerous. The above are only the preferred embodiments of the present invention. It should be noted that for those of ordinary skill in the art, without departing from the principle of the present invention, several improvements can be made, and these improvements should also be regarded as the protection scope of the present invention.
Claims
1. A conformal design method for an energy-absorbing lattice structure facing complex geometric shapes, characterized in that, The steps are as follows: 1) Design the shell of the energy-absorbing lattice structure and determine the geometric dimension parameters of the shell and the shell sandwich layer; 2) According to the characteristics of the shell and the shell sandwich layer designed in step 1), determine the target radii of the cell transformation in the cases of circumferential conformal transformation and circumferential-axial coupled conformal transformation; 3) Select the TPMS cell type and design the TPMS lattice structure cell according to the target radii of the conformal transformation calculated in step 2), and determine the geometric dimension parameters of the primitive cell; 4) Based on the primitive cell dimensions determined in step 3), achieve the conformal transformation of the lattice structure cell in the two cases through the corresponding structural geometric conformal transformation relationship, and perform a circular array on the cells that have completed the conformal transformation to form the TPMS lattice structure sandwich layer; 5) Fill the TPMS lattice structure sandwich layer into the structural shell to complete the conformal design of the energy-absorbing lattice structure for complex geometric shapes.
2. The conformal design method of the energy-absorbing lattice structure for complex geometric shapes according to claim 1, wherein The geometric dimension parameters in the step 1) include: the inner radius R1 of the shell, the outer radius R2 of the shell, the inner height H of the shell, the inner chamfer radius r1 of the shell, the outer chamfer radius r2 of the shell, the solid height H1 of the sandwich layer of the shell, the thickness t3 of the sandwich layer of the shell, the inner wall thickness t1 of the sandwich layer of the shell, the outer wall thickness t2 of the sandwich layer of the shell, the inner radius of the sandwich layer of the shell and the outer radius of the sandwich layer of the shell. The calculation formulas for the inner radius and the outer radius of the sandwich layer of the shell are as follows:
3. The conformal design method of the energy-absorbing lattice structure for complex geometric shapes according to claim 2, characterized in that The calculation formulas for the target radii of the cell transformation in the cases of circumferential conformal transformation and circumferential-axial coupled conformal transformation in step 2) are as follows: Wherein, R 周 is the target radius of the circumferential conformal transformation; R 轴 is the target radius of the axial conformal transformation; is the inner radius of the shell sandwich layer; is the outer radius of the shell sandwich layer; r3 is the fillet radius of the inner wall of the shell sandwich layer; r4 is the fillet radius of the outer wall of the shell sandwich layer.
4. The conformal design method of the energy-absorbing lattice structure for complex geometric shapes according to claim 3, wherein The geometric dimension parameters of the primitive cell in step 3) include the length l, width d, height h, and wall thickness Δt of the primitive cell in the cases of circumferential conformal transformation and circumferential-axial coupled conformal transformation; In the case of circumferential conformal transformation, the calculation formula for the primitive cell dimensions is as follows: where N τ is the number of circumferential cells, θ1 is the included angle of cells after circumferential conformal transformation, R 周 is the target radius of circumferential conformal transformation, H is the height of the internal cavity of the shell, H1 is the height of the solid region at the top of the shell, r1 is the radius of the internal fillet of the shell, N z is the number of cells in the axial direction during circumferential conformal transformation, t3 is the thickness of the sandwich layer of the shell, (x1, y1, z1) are the rectangular coordinate system coordinates of the lattice structure cells after circumferential conformal transformation; (x, y, z) are the rectangular coordinate system coordinates of the lattice structure cells before circumferential conformal transformation; In the case of circumferential-axial coupled transformation, the length and width of the primitive cell are the same as those in the case of circumferential conformal transformation, and the calculation formula for the height is as follows: In the formula, N z′ is the number of cells in the axial direction during the circumferential-axial coupled conformal transformation, θ2 is the included angle of the cells after the axial conformal transformation, Raxis is the target radius of the axial conformal transformation, (x1′, y1′, z1′) are the coordinates in the rectangular coordinate system after the circumferential-axial coupled conformal transformation of the lattice structure cells; (x′, y′, z′) are the coordinates in the rectangular coordinate system before the circumferential-axial coupled conformal transformation of the lattice structure cells.
5. The conformal design method of the energy-absorbing lattice structure for complex geometric shapes according to claim 4, wherein Step 4) specifically includes: The circumferential geometric conformal transformation relationship is as follows: In the formula, (x1, y1, z1) are the coordinates in the rectangular coordinate system after the circumferential conformal transformation of the lattice structure cell; (x, y, z) are the coordinates in the rectangular coordinate system before the circumferential conformal transformation of the lattice structure cell; R 周 is the target radius of the circumferential conformal transformation; The circumferential-axial coupled geometric conformal transformation relationship is as follows: Wherein, (x1′, y1′, z1′) are the rectangular coordinate system coordinates after the circumferential-axial coupled conformal transformation of the lattice structure cell; (x′, y′, z′) are the rectangular coordinate system coordinates before the circumferential-axial coupled conformal transformation of the lattice structure cell; R 周 is the target radius of the circumferential conformal transformation; R 轴 is the target radius of the axial conformal transformation.