Structural multi-dimensional fusion method, device and medium based on three-period minimal surface

Abstract

The application discloses a kind of based on three period minimal surface Structure Multidimensional Fusion Method, device and medium, method includes: obtaining multiple structures to be fused;According to the kind of the structure to be fused and preset fusion mode, determine fusion activation function;Based on the fusion activation function, using preset three period minimal surface theory and preset fusion mode, the multiple structures to be fused are multidimensionally fused, and initial fusion model is obtained;The initial fusion model is rotated and translated, and target fusion model is obtained.The application solves the problem that the performance of single configuration three period minimal surface point array structure in the prior art is limited by anisotropic mechanical behavior, and the complementary effect between different structure components can be fully utilized to adjust the mechanical properties of the structure by using multi-structure fusion to generate a new structure primitive.

Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of lightweight porous material design and research, and particularly relates to a structure multi-dimensional fusion method, device and medium based on triply periodic minimal surfaces. BACKGROUND

[0002] With the rapid development of aerospace technology, in order to successfully achieve the continuous breakthroughs in flight speed of large aircraft, spacecraft and other aircraft, and at the same time achieve the purpose of reducing fuel consumption and reducing carbon emissions, reducing the structural weight of the aircraft is a very respected method. Therefore, structural lightweighting has become one of the important goals that researchers strive to achieve. The emergence of lattice structures greatly promotes the process of structural lightweighting. However, as the research on rod-like lattice structures matures, people find that straight rod-like lattice structures have many defects: the straight rod-like lattice structure is non-uniformly transitioned at the geometric element connection, and has sharp corners, so stress concentration is easily generated at the connection nodes when stressed, resulting in early failure of the overall structure; in the additive manufacturing process, the straight rods in the structure are prone to collapse due to lack of support, making it difficult to shape the structure. Therefore, 3D printing lattice structures are applied to support structures, but have not been applied to key main load-bearing structures.

[0003] In view of the deficiencies of rod-like lattice structures in mechanical properties and forming processes, scholars replace the basic unit of the lattice structure from a straight rod to a curved surface. Triply Periodic Minimal Surfaces (TPMS) have gained the favor of many researchers due to their excellent curved surface characteristics. Triply Periodic Minimal Surfaces are smooth surfaces with zero average curvature everywhere, and similar structures have been found in some leaves and animal wings. The smooth and interconnected pores inside provide an ideal solution for industrial applications. Moreover, triply periodic minimal surfaces have a clear mathematical expression, and the size and distribution of the pores can be accurately controlled. While generating non-uniform pores, the smoothness and continuity of the curved surface can still be guaranteed, and the occurrence of stress concentration is minimized, providing better fatigue service performance.

[0004] However, neither changing the structural parameters of the original structure nor performing gradient changes on the relative density can change the inherent mechanical properties of each configuration of the triply periodic minimal surface structure. Hybridization of multiple triply periodic minimal surface structures can provide complementary effects between different structural components, expand the mechanical properties of the structure, such as axial modulus, shear stiffness and anisotropy, and is expected to provide a new cell for aerospace lightweighting. SUMMARY

[0005] The application aims to overcome the above technical deficiencies, provide a three-period minimal surface-based structure multi-dimensional fusion method, device and medium, solve the problem that the performance of a single configuration three-period minimal surface lattice structure is limited by anisotropic mechanical behavior in the prior art, and fully utilize the complementary effect between different structure components to adjust the mechanical properties of the structure by adopting multi-structure fusion to generate a new structure primitive.

[0006] To achieve the above technical purposes, the application adopts the following technical solutions:

[0007] In a first aspect, the application provides a three-period minimal surface-based structure multi-dimensional fusion method, comprising:

[0008] Obtaining a plurality of to-be-fused structure bodies;

[0009] Determining a fusion activation function according to the types of the to-be-fused structure bodies and a preset fusion mode;

[0010] Based on the fusion activation function, a preset three-period minimal surface theory and a preset fusion mode are adopted to perform multi-dimensional fusion on the plurality of to-be-fused structure bodies to obtain an initial fusion model;

[0011] Rotating and translating the initial fusion model to obtain a target fusion model.

[0012] In some embodiments, the to-be-fused structure bodies include a Primitive structure body, an IWP structure body and an FRD structure body; and the preset fusion mode includes one-dimensional fusion, two-dimensional fusion and three-dimensional fusion.

[0013] In some embodiments, the determining of the fusion activation function according to the types of the to-be-fused structure bodies and the preset fusion mode comprises:

[0014] Based on the types of the to-be-fused structure bodies, when the preset fusion mode is one-dimensional fusion, the expression of the fusion activation function is determined as:

[0015]

[0016] wherein η 1D represents a one-dimensional activation function, a is a parameter for adjusting the transition degree of a structure body, and b is a parameter for controlling the fusion position of a structure body;

[0017] Based on the types of the to-be-fused structure bodies, when the preset fusion mode is two-dimensional fusion, the expression of the fusion activation function is determined as:

[0018]

[0019] wherein η 2Drepresents a two-dimensional activation function, and a is a parameter of adjustable structure transition degree, and r represents a fusion radius;

[0020] Based on the kind of the structure to be fused, when the preset fusion mode is three-dimensional fusion, the expression of the fusion activation function is determined as:

[0021]

[0022] wherein, η 3D represents a three-dimensional activation function, and a is a parameter of adjustable structure transition degree, and r represents a fusion radius.

[0023] In some embodiments, the one-dimensional fusion is linear connection of the structure to be fused along a preset axis; the two-dimensional fusion is fusion of the structure to be fused along a preset reference surface; and the three-dimensional fusion is fusion of the structure to be fused along a central structure towards an end point structure.

[0024] In some embodiments, the preset three-period minimal surface theory can be expressed as:

[0025]

[0026] wherein, is a position vector of a Euclidean space, A k is an amplitude factor, is a lattice vector, P k is a periodic wavelength, is a phase offset.

[0027] In some embodiments, before the fusion of the plurality of structures to be fused to obtain an initial fusion model, the method further comprises:

[0028] According to the structural characteristics of the structure to be fused, a three-dimensional space range of the structure is determined.

[0029] In some embodiments, the rotation and translation of the initial fusion model to obtain a target fusion model comprises:

[0030] Based on the position deviation existing between the fusion effect of the initial fusion model and a preset ideal effect, the initial fusion model is rotated and translated to obtain a target fusion model.

[0031] In a second aspect, the present application further provides a structure multi-dimensional fusion device based on three-period minimal surface, comprising:

[0032] Obtaining a plurality of structures to be fused;

[0033] According to the kind of the structure to be fused and a preset fusion mode, a fusion activation function is determined.

[0034] Based on the fusion activation function, a preset three-period minimal surface theory and a preset fusion mode are adopted to fuse the plurality of to-be-fused structures to obtain an initial fusion model;

[0035] The initial fusion model is rotated and translated to obtain a target fusion model.

[0036] In a third aspect, the present application further provides an electronic device, comprising a processor and a memory;

[0037] The memory stores a computer readable program which can be executed by the processor;

[0038] The processor executes the computer readable program to implement the steps in the three-period minimal surface-based structure multi-dimensional fusion method.

[0039] In a fourth aspect, the present application further provides a computer readable storage medium which stores one or more programs which can be executed by one or more processors to implement the steps in the three-period minimal surface-based structure multi-dimensional fusion method.

[0040] Compared with the prior art, the three-period minimal surface-based structure multi-dimensional fusion method, device and medium provided by the present application first acquire a plurality of to-be-fused structures, then determine a fusion activation function according to the types of the to-be-fused structures and a preset fusion mode, and based on the fusion activation function, adopt a preset three-period minimal surface theory and a preset fusion mode to perform multi-dimensional fusion on the plurality of to-be-fused structures to obtain an initial fusion model, and finally rotate and translate the initial fusion model to obtain a target fusion model. The present application realizes one-dimensional to three-dimensional space fusion of a plurality of structures based on the three-period minimal surface theory, and the three-period minimal surface structure has a smooth transition at the structure connection, avoiding the formation of concentrated stress at the connection, and optimizing the axial modulus, shear stiffness and anisotropy of the structure. BRIEF DESCRIPTION OF DRAWINGS

[0041] Figure 1 is a flow chart of an embodiment of the three-period minimal surface-based structure multi-dimensional fusion method provided by the present application;

[0042] Figure 2 is a schematic diagram of one-dimensional fusion of a Primitive structure and an IWP structure in the three-period minimal surface-based structure multi-dimensional fusion method provided by the present application;

[0043] Figure 3is an embodiment of the Primitive, IWP and FRD structure one-dimensional fusion of the structure multi-dimensional fusion method based on the three-period minimal surface provided by the application;

[0044] Figure 4 is an embodiment of the Primitive and IWP structure one-dimensional fusion to generate a cube structure with an edge length of 18mm of the structure multi-dimensional fusion method based on the three-period minimal surface provided by the application, the perspective view and the plan view are shown in the figure;

[0045] Figure 5 is an embodiment of the Primitive and IWP structure two-dimensional fusion to generate a cube structure with an edge length of 18mm of the structure multi-dimensional fusion method based on the three-period minimal surface provided by the application, the perspective view, the top view and the plan view are shown in the figure;

[0046] Figure 6 is an embodiment of the Primitive and IWP structure three-dimensional fusion to generate a cube structure with an edge length of 18mm of the structure multi-dimensional fusion method based on the three-period minimal surface provided by the application, the perspective view and the section view are shown in the figure;

[0047] Figure 7 is an embodiment of the structure multi-dimensional fusion device based on the three-period minimal surface provided by the application, the schematic diagram is shown in the figure;

[0048] Figure 8 is an embodiment of the running environment schematic diagram of the electronic equipment provided by the application. DETAILED DESCRIPTION

[0049] In order to make the purpose, technical scheme and advantages of the application clearer, the application is further described in detail below in combination with the drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the application and do not limit the application.

[0050] The three-period minimal surface structure has a smooth surface and a high degree of hole connectivity, and the overall structure is accurately controlled by an implicit function, overcoming the phenomenon that the nodes of the traditional rod-shaped lattice structure (such as BCC, Octet, etc.) are prone to stress concentration when subjected to external loads. However, the TPMS structure configuration is single, and the mechanical properties of each structure are different. Therefore, hybrid fusion of multiple three-period minimal surface structures is expected to fully utilize the complementary effects between different structure components to adjust the mechanical properties of the structure, and to provide a new structure primitive for aerospace lightweight.

[0051] The embodiment of the application provides a structure multi-dimensional fusion method based on a three-period minimal surface, please refer to Figure 1 , comprising:

[0052] S101, a structure to be fused;

[0053] S102, determining a fusion activation function according to a kind of the structure to be fused and a preset fusion mode;

[0054] S103, performing multi-dimensional fusion on the multiple structures to be fused based on the fusion activation function, a preset three-period minimal surface theory and the preset fusion mode, to obtain an initial fusion model;

[0055] S104, rotating and translating the initial fusion model to obtain a target fusion model.

[0056] In the embodiment, the application based on Matlab / Python software firstly acquires multiple structures to be fused, then determines a fusion activation function according to a kind of the structure to be fused and a preset fusion mode, and performs multi-dimensional fusion on the multiple structures to be fused based on the fusion activation function, a preset three-period minimal surface theory and the preset fusion mode, to obtain an initial fusion model, and finally rotates and translates the initial fusion model to obtain a target fusion model. The application realizes one-dimensional to three-dimensional space fusion of multiple structures based on the three-period minimal surface theory, and avoids concentrated stress at the structure connection through smooth transition of the three-period minimal surface structure, thereby optimizing axial modulus, shear stiffness and anisotropy of the structure.

[0057] In step S101, the number of structures to be fused is not limited, and two or more structures can be fused simultaneously. When multiple structures are fused, the corresponding three-period minimal surface theory should be developed into a variant. In the embodiment, the three-period minimal surface theory variant can be used to directly fuse multiple structures, thereby improving fusion efficiency and providing a possibility for synchronous fusion of multiple structures.

[0058] In step S103, the preset three-period minimal surface theory can be expressed as:

[0059]

[0060] wherein, is a position vector of the Euclidean space, A k is an amplitude factor, is a lattice vector, P k is a periodic wavelength, is a phase offset.

[0061] In some embodiments, the structure to be fused includes a Primitive structure, an IWP structure and an FRD structure, and the preset fusion mode includes one-dimensional fusion, two-dimensional fusion and three-dimensional fusion.

[0062] In the embodiment, the type of the structure to be fused and the preset fusion mode are determined, and then the structure to be fused is fused by using the triperiodic minimal surface theory according to the Matlab / Python software. In the embodiment, the structure is fused by using the triperiodic minimal surface theory, so that the structure is fused from one-dimensional fusion to two-dimensional fusion and three-dimensional space fusion, a new composite triperiodic minimal surface lattice structure is generated, and the connection of the new lattice structure has uniform transition.

[0063] It should be noted that the Primitive, IWP and FRD structures are used as basic cells, and different structures are fused by using a Sigmoid fusion function. Hybrid fusion of various triperiodic minimal surface structures can change the single configuration of the traditional structure, effectively combine the mechanical properties of the original structure, fully utilize the complementary effect between different structure components to adjust the elastic properties of the structure, and generate a new structure cell. The type of the structure to be fused is not limited to the three types of Primitive structure, IWP structure and FRD structure.

[0064] Further, the Primitive structure can be expressed as the following formula:

[0065] Ψ p (x, y, z) = cos(X) + cos(Y) + cos(Z);

[0066] The IWP structure can be expressed as the following formula:

[0067] Ψ IWP (x, y, z) = 2[cos(X)cos(Y) + cos(Y)cos(Z) + cos(Z)cos(X)] - [cos(2X) + cos(2Y) + cos(2Z)];

[0068] The FRD structure can be expressed as the following formula:

[0069] Ψ IWP (x, y, z) = 4cos(X)cos(Y)cos(Z) - [cos(2X)cos(2Y) + cos(2Y)cos(2Z) + cos(2Z)cos(2X)].

[0070] Wherein, x, y, z are the spatial coordinates of each surface point.

[0071] In some embodiments, the fusion activation function is determined according to the type of the structure to be fused and the preset fusion mode, including:

[0072] Based on the kind of the structure to be fused, when the preset fusion mode is one-dimensional fusion, the expression of the fusion activation function is determined as follows:

[0073]

[0074] wherein, η 1D represents one-dimensional activation function, and a is a parameter for adjusting the transition degree of the structure, and b is a parameter for controlling the fusion position of the structure.

[0075] Based on the kind of the structure to be fused, when the preset fusion mode is two-dimensional fusion, the expression of the fusion activation function is determined as follows:

[0076]

[0077] wherein, η 2D represents two-dimensional activation function, and a is a parameter for adjusting the transition degree of the structure, and r represents fusion radius.

[0078] Based on the kind of the structure to be fused, when the preset fusion mode is three-dimensional fusion, the expression of the fusion activation function is determined as follows:

[0079]

[0080] wherein, η 3D represents three-dimensional activation function, and a is a parameter for adjusting the transition degree of the structure, and r represents fusion radius.

[0081] In the embodiment, first, the structure to be fused is modeled by three-dimensional modeling software, wherein the modeling is based on a unified coordinate space. After the modeling is completed, a preset fusion mode is selected according to the requirement, and the two structures are connected by using the preset activation function. It should be noted that the connection of the two structures is controlled by using the activation function, which overcomes the incoherence of pure mechanical connection.

[0082] It should be noted that the original activation function can be expressed as follows:

[0083]

[0084] Further, based on the three-period minimum surface theory, the one-dimensional, two-dimensional and three-dimensional fusion respectively correspond to different activation functions based on the original activation function. It can be understood that the corresponding activation function is determined based on different fusion modes, which can improve the efficiency and accuracy of fusion.

[0085] In some embodiments, the one-dimensional fusion is linear connection of the structures to be fused along a preset axis; the two-dimensional fusion is fusion of the structures to be fused along a preset reference surface; and the three-dimensional fusion is fusion of the structures to be fused along a central structure towards an end point structure.

[0086] In the present embodiment, for one-dimensional fusion, the structures are linearly connected along an axis (i.e. a preset axis). The structures can be arranged in a cross manner from left to right to form a new fused structure. For two-dimensional fusion, the porous structures are fused along a reference surface (i.e. a preset reference surface) to form a structure in the middle and different structures around the structure in a two-dimensional plane, and the two structures are fused to form a new structure. For three-dimensional fusion, the structures are fused from the center to the end point in a cubic space, the center is a structure, the edges are other structures, and the two structures are fused to form a new structure.

[0087] It should be noted that the function of the three-period minimal surface structure after fusion can be expressed as:

[0088] Ψ hyb = η (x, y, z) Ψ1(x, y, z) + (1-η(x, y, z)) Ψ1(x, y, z)

[0089] If k three-period minimal surface structures are to be fused, the fusion function can be expressed as:

[0090] Ψ hyb = (1-θ1)(f1-f2) + (1-η2)(f2-f3) + (1-η3)(f3-f4) + … + (1-ηk-1)(fk-1-fk) + ηk*fk

[0091] + fk-1 k-2 + fk k-2 + fk+1 k-1 + fk+2 k-1 + fk+3 k-1 + fk+4 k-1 + fk+5 k ;

[0092] Wherein, f represents the order of the structures in the fused structures.

[0093] In some embodiments, before the fusion of the plurality of structures to be fused to obtain an initial fusion model, the method further comprises:

[0094] Determining the three-dimensional space range of the structures according to the structural characteristics of the structures to be fused.

[0095] In the present embodiment, the input structure definition domain range is: x∈[x min , x max ], y∈[ymin ,y max ],z∈[z min ,z max ]。

[0096] In some embodiments, the rotating and translating the initial fusion model to obtain a target fusion model comprises:

[0097] According to the position deviation between the fusion effect of the initial fusion model and the preset ideal effect, the initial fusion model is rotated and translated to obtain a target fusion model.

[0098] In this embodiment, when the structure is generated by software such as Matlab and Python, a two-dimensional or three-dimensional graph of the fusion structure can be displayed. The fusion effect of the initial fusion model may present deformity, interruption, etc., and cannot be improved in mechanical performance compared with the initial structure. Therefore, the spatial position of the structure can be adjusted by translation or rotation to obtain a more coherent target fusion model.

[0099] If the spatial position of the structure is translated, the translation distance in the x direction is dx, the translation distance in the y direction is dy, and the translation distance in the z direction is dz. The spatial coordinates of the structure after translation are:

[0100]

[0101] If the structure is to be rotated, for example, around the z axis, the spatial coordinates of the structure after rotation by θ° are:

[0102]

[0103] In Matlab or Python, the best hybrid fusion structure is formed after continuous debugging, and is output in STL file format.

[0104] Regarding the thickness of the structure, the nodes on the reference surface and the offset surface can be connected in a certain order by offsetting the nodes on the surface in Matlab or Python. The generated fusion surface structure can also be given a thickness by "offset (create entity layer)" in Abauqs.

[0105] Since the mesh is automatically generated in Matlab, in order to make the model converge in the simulation process, mesh optimization can be performed in Meshlab or HyperMesh, and then output in STL format.

[0106] The following is illustrated and proved by some specific embodiments:

[0107] Embodiment 1

[0108] The edge length of P and IWP structures is 6mm, linear fusion generates a structure of 12mm*6mm*6mm, the plan view of the fusion structure is shown in Figure 2 .

[0109] The specific operation steps are as follows

[0110] The definition domain range of the input structure is:

[0111] [x,y,z]=meshgrid(-6*pi:0.1*pi:6*pi,-3*pi:0.1*pi:3*pi,-3*pi:0.1*pi:3*pi);

[0112] The implicit function equation of P and IWP structures is input:

[0113] Ψ p (x,y,z)=cos(X)+cos(Y)+cos(Z)

[0114] Ψ IWP (x,y,z)=2[cos(X)cos(Y)+cos(Y)cos(Z)+cos(Z)cos(X)]-[cos(2X)+cos(2Y)+cos(2Z)]

[0115] The activation function is input

[0116]

[0117] Preferably, a=5, b=0.

[0118] The hybrid formula (i.e. three periodic minimal surface equation) is input:

[0119] Ψ hyb =[1-η 1D (x,y,z)][(Ψ P (x,y,z)-Ψ IWP (x,y,z)]+η 1D (x,y,z)Ψ IWP (x,y,z)

[0120] The Primitive structure is translated to the right by π unit length, and the fusion structure is obtained.

[0121] Example 2

[0122] The edge length of P, IWP and FRD structures is 6mm, linear fusion generates a structure of 18mm*6mm*6mm in the order of “P-IWP-FRD”, the plan view of the fusion structure is shown in Figure 3 .

[0123] The specific operation steps are as follows

[0124] The definition domain range of the input structure is:

[0125] [x,y,z]=meshgrid(-9*pi:0.1*pi:9*pi,-3*pi:0.1*pi:3*pi,-3*pi:0.1*pi:3*pi);

[0126] Input the implicit function equation of P, IWP and FRD structures:

[0127] Ψ p (x,y,z)=cos(X)+cos(Y)+cos(Z)

[0128] Ψ IWP (x,y,z)=2[cos(X)cos(Y)+cos(Y)cos(Z)+cos(Z)cos(X)]-[cos(2X)+cos(2Y)+cos(2Z)]

[0129] Ψ IWP (x,y,z)=4cos(X)cos(Y)cos(Z)-[cos(2X)cos(2Y)+cos(2Y)cos(2Z)+cos(2Z)cos(2X)]

[0130] Input the activation function:

[0131]

[0132] Preferably, a1=5;b1=-3;a2=10;b2=3.

[0133] Input the hybrid formula (i.e. three-periodic minimal surface equation):

[0134] Ψ hyb =(1-η1)(f1-f2)+η1f2+(1-η2)f2+η2(f3-f2)

[0135] Both IWP and FRD structures are translated to the right by π units of length to obtain the hybrid structure.

[0136] Example 3

[0137] The edge length of P and IWP structures is 6mm, and linear fusion is performed along the x-axis in the order of “P-IWP-P” to generate a structure of 18mm*18mm*18mm, and the perspective view and plan view of the fused structure are as shown in Figure 4

[0138] The specific operation steps are as follows:

[0139] ​Domain range of input structure:

[0140] [x,y,z]=meshgrid(-9*pi:0.1*pi:9*pi,-9*pi:0.1*pi:9*pi,-9*pi:0.1*pi:9*pi);

[0141] Input implicit function equation of P, IWP two structures:

[0142] Ψ p (x,y,z)=cos(X)+cos(Y)+cos(Z)

[0143] Ψ IWP (x,y,z)=2[cos(X)cos(Y)+cos(Y)cos(Z)+cos(Z)cos(X)]-[cos(2X)+cos(2Y)+cos(2Z)]

[0144] Input activation function:

[0145]

[0146] Preferably a1=5;b1=-3;a2=5;b2=3.

[0147] Input hybrid formula (i.e. three periodic minimal surface equation):

[0148] Ψ hyb =(1-η1)(f1-f2)+η1f2+(1-η2)f2+η2(f3-f2)

[0149] IWP structure is translated π units to the right to obtain the hybrid structure.

[0150] Example 4

[0151] The edge length of P, IWP two structures is 6mm, and two-dimensional fusion is carried out in the xoy plane, and the center is P and the surrounding is IWP structure. The perspective view, top view and plan view of the fusion structure are shown in Figure 5

[0152] The specific operation steps are as follows

[0153] Domain range of input structure:

[0154] [x,y,z]=meshgrid(-9*pi:0.1*pi:9*pi,-9*pi:0.1*pi:9*pi,-9*pi:0.1*pi:9*pi);

[0155] Input implicit function equation of P, IWP two structures:

[0156] ​Ψ p (x,y,z) = cos(X) + cos(Y) + cos(Z)

[0157] Ψ IWP (x,y,z) = 2[cos(X)cos(Y) + cos(Y)cos(Z) + cos(Z)cos(X)] - [cos(2X) + cos(2Y) + cos(2Z)]

[0158] Input activation function:

[0159]

[0160] Preferably a = 1, b = 4.2.

[0161] Input hybridization formula (i.e. three periodic minimal surface equation):

[0162] Ψ hyb = (1 - η1)(f1 - f2) + η1f2

[0163] Get hybrid structure.

[0164] Example 5

[0165] The edge length of P, IWP structure is 6mm, three-dimensional fusion is carried out, the center is P, and the periphery is IWP structure. The perspective view, top view and plan view of the fusion structure are shown in Figure 6 .

[0166] The specific operation steps are as follows:

[0167] The definition domain range of input structure

[0168] [x,y,z] = meshgrid(-9*pi:0.1*pi:9*pi,-9*pi:0.1*pi:9*pi,-9*pi:0.1*pi:9*pi);

[0169] Input the implicit function equation of P, IWP two structures:

[0170] Ψ p (x,y,z) = cos(X) + cos(Y) + cos(Z)

[0171] Ψ IWP (x,y,z) = 2[cos(X)cos(Y) + cos(Y)cos(Z) + cos(Z)cos(X)] - [cos(2X) + cos(2Y) + cos(2Z)]

[0172] Input activation function:

[0173]

[0174] Preferably a = 1, r = 4.5.

[0175] Input hybridization formula:

[0176] Ψ hyb = (1 - η1) (f1 - f2) + η1f2

[0177] Get the hybridization structure.

[0178] Based on the above-mentioned structure multi-dimensional fusion method based on three-period minimal surface, the embodiment of the application also correspondingly provides a structure multi-dimensional fusion device 700 based on three-period minimal surface, please refer to Figure 7 The structure multi-dimensional fusion device 400 based on three-period minimal surface includes an acquisition module 710, a fusion activation function determination module 720, an initial fusion model determination module 730 and a target fusion model determination module 740.

[0179] The acquisition module 710 is used for acquiring a plurality of to-be-fused structures;

[0180] The fusion activation function determination module 720 is used for determining a fusion activation function according to the categories of the to-be-fused structures and a preset fusion mode;

[0181] The initial fusion model determination module 730 is used for fusing the plurality of to-be-fused structures based on the fusion activation function, adopting a preset three-period minimal surface theory and a preset fusion mode, to obtain an initial fusion model;

[0182] The target fusion model determination module 740 is used for rotating and translating the initial fusion model to obtain a target fusion model.

[0183] As Figure 8 shown, based on the above-mentioned structure multi-dimensional fusion method based on three-period minimal surface, the application also correspondingly provides an electronic device, which can be a mobile terminal, a desktop computer, a notebook, a palm computer and a server and the like computing device. The electronic device includes a processor 810, a memory 820 and a display 830. Figure 8 Only part of the components of the electronic device are shown, but it should be understood that all the shown components are not required to be implemented, and more or less components can be alternatively implemented.

[0184] The memory 820 can be an internal storage unit of the electronic device in some embodiments, such as a hard disk or a memory of the electronic device. The memory 820 can also be an external storage device of the electronic device in other embodiments, such as a plug-in hard disk, a smart media card (SMC), a secure digital (SD) card, a flash card, and the like equipped on the electronic device. Further, the memory 820 can include both an internal storage unit and an external storage device of the electronic device. The memory 820 is used to store application software and various data installed on the electronic device, such as program codes installed on the electronic device. The memory 820 can also be used to temporarily store data that has been output or will be output. In an embodiment, the memory 820 stores a three-period minimal surface-based structure multi-dimensional fusion program 840 based on a three-period minimal surface-based structure multi-dimensional fusion program 840 that can be executed by the processor 810, thereby implementing a three-period minimal surface-based structure multi-dimensional fusion method according to various embodiments of the present application.

[0185] The processor 810 can be a central processing unit (CPU), a microprocessor, or other data processing chip in some embodiments, and is used to run program codes stored in the memory 820 or process data, such as to execute a three-period minimal surface-based structure multi-dimensional fusion method.

[0186] The display 830 can be an LED display, a liquid crystal display, a touch liquid crystal display, an OLED (Organic Light-Emitting Diode) touch, and the like in some embodiments. The display 830 is used to display information of the three-period minimal surface-based structure multi-dimensional fusion device and to display a visualized user interface. The components 810-830 of the electronic device communicate with each other through a system bus.

[0187] Of course, those skilled in the art can understand that all or part of the processes in the above-mentioned embodiments can be completed by a computer program instructing related hardware (such as a processor, a controller, and the like) to complete, and the program can be stored in a computer-readable storage medium. The program can include the processes of the above-mentioned embodiments when executed. The storage medium can be a memory, a disk, an optical disk, and the like.

[0188] The specific embodiments of the application described above do not constitute a limitation on the scope of protection of the application. Any various other corresponding changes and modifications made according to the technical concept of the application should be included in the scope of protection of the claims of the application.

Claims

1. A multi-dimensional fusion method based on three-period minimal surface structure, characterized in that, The method comprises the following steps: acquiring a plurality of to-be-fused structures; determining a fusion activation function according to the types of the to-be-fused structures and a preset fusion mode; performing multi-dimensional fusion on the plurality of to-be-fused structures based on the fusion activation function, a preset three-period minimal surface theory and the preset fusion mode to obtain an initial fusion model; performing rotation and translation on the initial fusion model to obtain a target fusion model; the step of determining the fusion activation function according to the types of the to-be-fused structures and the preset fusion mode comprises the following steps: based on the types of the to-be-fused structures, when the preset fusion mode is one-dimensional fusion, determining that the expression of the fusion activation function is: wherein, represents a one-dimensional activation function, is a parameter for adjusting the transition degree of the structure, and b is a parameter for controlling the fusion position of the structure. based on the types of the to-be-fused structures, when the preset fusion mode is two-dimensional fusion, determining that the expression of the fusion activation function is: wherein represents a two-dimensional activation function, is a parameter that adjusts the degree of transition of the structure, and r represents a fusion radius; based on the types of the to-be-fused structures, when the preset fusion mode is three-dimensional fusion, determining that the expression of the fusion activation function is: wherein represents a three-dimensional activation function, is a parameter that adjusts the degree of transition of the structure, and r represents a fusion radius; the preset three-period minimal surface theory can be expressed as: wherein, is a position vector of the Euclidean space, is an amplitude factor, is a lattice vector, is a periodic wavelength, is a phase offset.

2. The multi-dimensional fusion method based on three-period minimal surface structure according to claim 1, characterized in that, the to-be-fused structures comprise Primitive structures, IWP structures and FRD structures; and the preset fusion mode comprises one-dimensional fusion, two-dimensional fusion and three-dimensional fusion.

3. The multi-dimensional fusion method based on three-period minimal surface structure according to claim 2, characterized in that, the one-dimensional fusion is linear connection of the to-be-fused structures along a preset axis; the two-dimensional fusion is fusion of the to-be-fused structures along a preset reference surface; and the three-dimensional fusion is fusion of the to-be-fused structures along a central structure towards an end point structure.

4. The multi-dimensional fusion method based on three-period minimal surface structure according to claim 1, characterized in that, before the step of performing fusion on the plurality of to-be-fused structures to obtain the initial fusion model, the method further comprises the following step: determining a three-dimensional space range of the structures according to the structural characteristics of the to-be-fused structures.

5. The multi-dimensional fusion method based on three-period minimal surface structure according to claim 1, characterized in that, the step of performing rotation and translation on the initial fusion model to obtain the target fusion model comprises the following step: performing rotation and translation on the initial fusion model to obtain the target fusion model based on error problems in the fusion effect of the initial fusion model.

6. A multi-dimensional fusion device based on a three-period minimal surface structure, characterized in that, The method comprises the following steps: an acquiring module is configured to acquire a plurality of to-be-fused structures; a fusion activation function determining module is configured to determine a fusion activation function according to the types of the to-be-fused structures and a preset fusion mode; an initial fusion model determining module is configured to perform fusion on the plurality of to-be-fused structures based on the fusion activation function, a preset three-period minimal surface theory and the preset fusion mode to obtain an initial fusion model; a target fusion model determining module is configured to perform rotation and translation on the initial fusion model to obtain a target fusion model; the step of determining the fusion activation function according to the types of the to-be-fused structures and the preset fusion mode comprises the following steps: based on the types of the to-be-fused structures, when the preset fusion mode is one-dimensional fusion, determining that the expression of the fusion activation function is: wherein, represents a one-dimensional activation function, is a parameter for adjusting the transition degree of the structure, and b is a parameter for controlling the fusion position of the structure. based on the types of the to-be-fused structures, when the preset fusion mode is two-dimensional fusion, determining that the expression of the fusion activation function is: wherein represents a two-dimensional activation function, is a parameter that adjusts the degree of transition of the structure, and r represents a fusion radius; based on the types of the to-be-fused structures, when the preset fusion mode is three-dimensional fusion, determining that the expression of the fusion activation function is: wherein represents a three-dimensional activation function, is a parameter that adjusts the degree of transition of the structure, and r represents a fusion radius; the preset three-period minimal surface theory can be expressed as: wherein, is a position vector of the Euclidean space, is an amplitude factor, is a lattice vector, is a periodic wavelength, is a phase offset.

7. An electronic device, comprising: The method comprises the following steps: a processor and a memory; The memory has stored thereon a computer readable program executable by the processor; The processor implements the steps in the structural multi-dimensional fusion method based on three-period minimal surface as claimed in any one of claims 1-5 when executing the computer readable program.

8. A computer-readable storage medium, characterized in that, The computer readable storage medium stores one or more programs executable by one or more processors to implement the steps in the structural multi-dimensional fusion method based on three-period minimal surface as claimed in any one of claims 1-5.

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