A support design method based on bionic structure and accelerator magnet support

Abstract

This invention discloses a biomimetic structure-based support design method and an accelerator magnet support. The method includes: constructing modal and strength indices based on user requirements; confirming the structural form considering high stiffness characteristics and performing biomimetic design of the support to obtain a support design model; performing modal and strength analyses on the support design model to obtain analysis results; comparing the analysis results with the modal and strength indices, and outputting the support design model based on the comparison results. The accelerator magnet support includes: a honeycomb structure on the top plate; an animal skeleton structure for the side support structure; a layered honeycomb structure for the middle side plate; a diatomaceous earth structure for the bottom crossbeam; a tree branch structure for the cross supports; and a plankton-inspired outer shell. By using this invention, the weight of the support can be reduced while minimizing the impact of ground vibration. This invention can be widely applied in the field of support design.

Description

Technical Field

[0001] This invention relates to the field of support design, and more particularly to a support design method based on a biomimetic structure and an accelerator magnet support. Background Technology

[0002] The accelerator magnet support system, viewed in cross-section, consists of the following components from bottom to top: ground, foundation, base, adjustment mechanism, magnet support, secondary adjustment mechanism, and magnets. The main cause affecting electron beam stability is ground vibration. The transmission path is as follows: ground vibration is transmitted through the foundation to the base, then through the adjustment mechanism to the magnet support and various magnets. The vibration of the magnets ultimately affects the stability of the electron beam, leading to an increase in emissivity and a decrease in light source brightness.

[0003] To ensure the stability and installation accuracy of the magnetic components while minimizing the impact of ground vibrations, existing storage ring magnet supports mostly employ a design approach that increases mass to enhance strength. Their geometric design often prioritizes strength specifications, requiring minimal deflection and rotation. However, excessive mass makes the support very heavy, placing high demands on the adjustment mechanism. Furthermore, increased mass lowers the support's natural frequency. Once the first-order mode natural frequency drops to a certain level, the frequency of the external vibration source may reach the support's resonant frequency. Therefore, the first-order mode must be removed from the vibration source frequency, ideally as high as possible; thus, the mass cannot be excessive. However, lightweight structures are more susceptible to vibration. Compared to heavy structures, smaller structures are more easily excited by external stimuli, and their amplitudes are often larger, causing displacement of the magnetic components. Therefore, reducing amplitude is one of the main design objectives and challenges of existing support design methods. Summary of the Invention

[0004] To address the aforementioned technical problems, the present invention aims to provide a biomimetic structure-based support design method and accelerator magnet support, which can reduce the weight of the support while reducing the impact of ground vibration, effectively shielding the influence of ground vibration on the electron beam trajectory, and ensuring beam quality.

[0005] The first technical solution adopted in this invention is: a scaffold design method based on a biomimetic structure, comprising the following steps:

[0006] Modal and intensity metrics are constructed based on user needs;

[0007] Considering the high stiffness characteristics, the structural form was confirmed and a biomimetic design of the support was carried out to obtain the support design model;

[0008] Modal and strength analyses were performed on the support design model to obtain the analysis results.

[0009] The analysis results are compared with modal and strength indices, and a support design model is output based on the comparison results.

[0010] Furthermore, the modal index refers to the first-order modal natural frequency requirements of each component.

[0011] Furthermore, the support design model includes a top plate, a side support structure, a middle side plate structure, a bottom beam position, cross supports, and an outer shell structure.

[0012] Furthermore, the step of confirming the structural form and performing biomimetic design of the support, considering its high stiffness characteristics, to obtain the support design model specifically includes:

[0013] Considering the high stiffness characteristics, a biomimetic structural form was confirmed;

[0014] The biomimetic structural forms include animal bone structure, honeycomb structure, bamboo cell structure, tree branch structure and diatom shell structure;

[0015] Topology optimization is performed based on a solid cuboid, and the biomimetic structural properties are parameterized.

[0016] The scaffold design model is obtained by performing multi-objective optimization and allocating biomimetic structures based on the particle swarm optimization algorithm.

[0017] Furthermore, the step of performing topology optimization based on a solid cuboid and parameterizing the biomimetic structural properties specifically includes:

[0018] Based on a solid cuboid, determine the dimensions of the solid cuboid according to the user's required size specifications;

[0019] Based on preset boundary conditions, the static structural parameters of the cuboid are obtained through finite element analysis.

[0020] Using static structural parameters as preloads, modal analysis was performed on a cuboid under the same constraint conditions to obtain modal analysis parameters.

[0021] The static structural parameters and modal analysis results are used as input conditions to perform topology optimization on the cuboid;

[0022] The mechanical properties of the biomimetic structural form are parameterized, and the proportion of the biomimetic structural form used in the overall mass and its impact on the mechanical properties of the support structure are determined.

[0023] Furthermore, the step of comparing the analysis results with modal and strength indices, and outputting a stent design model based on the comparison results, specifically includes:

[0024] Compare the analysis results with modal indices;

[0025] If the analysis results do not meet the modal indices, the biomimetic design of the scaffold should be carried out again using the modal parameters in the analysis results as input conditions.

[0026] If the analysis results meet the modal indices, compare the analysis results with the strength indices;

[0027] If the analysis results do not meet the strength requirements, adjust the structural form and mass distribution according to the finite element analysis results, and repeat the modal analysis and strength analysis.

[0028] If the analysis results meet the strength requirements, output the support design model.

[0029] The second technical solution adopted in this invention is: an accelerator magnet support, which is an integral structure, consisting of an upper top plate, side support structures, a middle side plate structure, a bottom crossbeam structure, a support cross structure, and a support shell, forming an organic whole, including:

[0030] The top plate of the bracket adopts a honeycomb structure to provide support and fixation for the magnets, and to withstand pressure and absorb vibration.

[0031] The side support structure of the frame adopts the structure of animal skeleton, which is thick at both ends and thin in the middle, with the two ends smoothly transitioning to the middle to form a structure of equal strength.

[0032] The side panel structure in the middle of the support frame adopts a layered honeycomb structure.

[0033] The bottom crossbeam of the support uses a diatomaceous earth structure to improve the torsional stiffness of the support.

[0034] The support structure at the intersection adopts a tree branch structure. The size of the intersection angle of the load-bearing branches, as well as the cross-sectional shape and mass distribution of the structure, are adjusted to improve the overall rigidity of the support.

[0035] The bracket housing uses a diatomaceous earth shell structure to reduce vibration transmission efficiency.

[0036] Furthermore, the diatom shell structure has a reinforcing rib at the center and a weight-reducing hole in the middle section.

[0037] Furthermore, the simulated plankton structure is provided with a sandwich structure and circular holes.

[0038] The beneficial effects are as follows: This invention provides a biomimetic accelerator magnet support design method. Utilizing the high stiffness characteristics of certain tissue structures or distribution patterns in organisms, this method applies biomimetic structures to the design of high-stability accelerator magnet supports. Modal parameters are prioritized, and the magnet support structure is designed to maximize the first-order modal frequency. This solves the problems of traditional design approaches, such as the lack of a fixed functional relationship for stiffness, the inability to provide a specific expression, and the difficulty in designing the support itself. It effectively improves the first-order modal frequency of the magnet support, optimizes design stiffness, and significantly reduces support weight. It is particularly suitable for the design of storage ring magnet supports for diffraction-limited synchrotron radiation sources. Through the implementation of this invention, an accelerator magnet support can be obtained that effectively shields the electron beam trajectory from ground vibrations, ensuring beam quality. Attached Figure Description

[0039] Figure 1 This is a flowchart of the steps of a biomimetic structure-based support design method according to the present invention;

[0040] Figure 2 This is a flowchart illustrating the bracket design method according to a specific embodiment of the present invention;

[0041] Figure 3 This is a flowchart illustrating the biomimetic design process of a specific embodiment of the present invention;

[0042] Figure 4 This is a top view of an accelerator magnet support according to a specific embodiment of the present invention;

[0043] Figure 5 This is a front view of an accelerator magnet support according to a specific embodiment of the present invention;

[0044] Figure 6 This is a bottom view of the accelerator magnet support according to a specific embodiment of the present invention;

[0045] Figure 7 This is a perspective view of the accelerator magnet support according to a specific embodiment of the present invention;

[0046] Figure 8 This is a schematic diagram of a honeycomb structure;

[0047] Figure 9 This is a schematic diagram of an animal's skeletal structure;

[0048] Figure 10 This is a schematic diagram of a diatom shell structure;

[0049] Figure 11 This is a schematic diagram of a tree branch structure;

[0050] Figure 12 This is another schematic diagram of a tree branch structure;

[0051] Figure 13 This is another schematic diagram of the diatom shell structure.

[0052] Figure labels: 1. Honeycomb structure and bamboo-fiber reinforcing ribs; 2. Animal skeleton structure; 3. Cross-section of honeycomb structure and bamboo-fiber reinforcing ribs; 4. Diatom shell structure; 5. Tree branch structure; 6. Tree branch structure; 7. Diatom shell structure. Detailed Implementation

[0053] The present invention will now be described in further detail with reference to the accompanying drawings and specific embodiments. The step numbers in the following embodiments are only for ease of explanation and do not limit the order of the steps. The execution order of each step in the embodiments can be adapted according to the understanding of those skilled in the art.

[0054] This invention provides a design method for accelerator magnet supports based on biomimetic structures. The design prioritizes modal parameters from the outset, aiming to maximize the natural frequency of the first-order mode. The key lies in identifying corresponding biological entities and designing biomimetic structures. Unlike strength, which can be calculated using mechanical formulas and finite element analysis to determine rotation and deflection, stiffness lacks a fixed functional relationship and cannot be given a specific expression. Therefore, the design incorporates the concept of biomimetic structures.

[0055] Reference Figure 1 and Figure 2 This invention provides a scaffold design method based on a biomimetic structure, the method comprising the following steps:

[0056] S1. Propose user requirements and basic functions.

[0057] Specifically, the accuracy and functional requirements of the magnet support are first proposed according to the accuracy requirements of the beam track.

[0058] S2. Propose modal indices and intensity indices.

[0059] The first-order modal natural frequency of the magnet support is generally required to exceed 50Hz; the strength requirements are generally required to be less than 20μm in maximum vertical deformation under full magnet load, with an equivalent stiffness of approximately 430N / μm in the X direction, approximately 310N / μm in the Y direction, and approximately 520N / μm in the Z direction. (X direction: beam direction; Y direction: transverse; Z direction: vertical).

[0060] Specifically, since the various connection points of the support structure are weak points in rigidity—the connection between the base and the foundation, the connection between the base and the magnet support, and the connection between the magnet support and the magnets—all lead to a decrease in the first-order modal natural frequency. Therefore, the design breaks down the first-order modal natural frequency requirements of each component based on the final overall first-order modal natural frequency requirements of the magnet support structure. Generally, to ensure that the final overall first-order modal natural frequency of the magnet support structure exceeds 50Hz, the initial design requires the first-order modal natural frequencies of each component of the support structure to reach above 150Hz.

[0061] S3. Find the corresponding organism and confirm the biomimetic structural form.

[0062] In nature, the specific tissue structure or the distribution pattern of certain tissues in some organisms gives them relatively high rigidity. These patterns can be explored and applied to the design of magnetic support structures.

[0063] Animal skeletal structure is characterized by thicker ends and a thinner middle section, with smooth transitions from the bone ends to the middle. This shape facilitates the integration of the skeleton with other joints and reflects the distribution of tissue mass in the organism. The skeleton possesses an optimal load-bearing structure, where areas of high stress are also areas of high strength, preventing stress concentration and facilitating stress transfer. The skeletal structure is an ideal, uniformly strong structure, with high-density and high-strength tissues located in the main load-bearing areas. The surface of the skeleton is compact bone, maintaining its overall shape; the interior is cancellous bone, containing numerous voids that support the entire structure while reducing weight; further inward lies the medullary cavity, housing bone marrow, blood vessels, and nerves. This aligns with the functional requirements of a scaffold: the outer frame ensures the structural shape, while the inner filling provides structural support and space for wiring.

[0064] Honeycomb Structure: A honeycomb is composed of cells. Viewed from the front, the cells are regular hexagons, closely arranged. In cross-section, each cell is not a standard hexagonal prism, as its base is not flat but a cone composed of three equal rhombuses, each with an obtuse angle of 109°28′ and an acute angle of 70°32′. The honeycomb walls are very thin, averaging less than 0.1mm, and the bases of two cells interlock to withstand maximum load. The hexagonal honeycomb structure offers the highest space utilization among geometric shapes of the same area, minimizing weight and maximizing specific stiffness. Simultaneously, the honeycomb structure has high energy absorption, reducing vibration and meeting the design requirements of magnet supports.

[0065] Bamboo Cell Structure: Bamboo is extremely lightweight yet exceptionally strong. Measurements show that bamboo's specific strength and specific stiffness are higher than both wood and ordinary steel. Taking *Phyllostachys edulis* as an example, its tensile stiffness along the grain reaches 280 MPa, half that of ordinary steel of the same cross-sectional size, while its mass is only one-fifth that of steel of the same volume. Calculated by unit mass, bamboo's tensile strength is approximately 2.5 times that of steel. This characteristic of bamboo is closely related to the mass distribution of its internal structure. Microscopic analysis of bamboo reveals that most of the fibrous tissue is distributed in the outer layer, while the inner layer has a much lower density and contains numerous weight-reducing pores. Figure 8 (transverse tensile fibers in the middle)

[0066] Tree branch structure: Trees exhibit negative geotropism and typically grow straight. However, when a tree leans or deviates from its normal position, stress nodes are generated in high-stress areas, forming stress points. This node structure reflects the feedback function and self-regulation ability of organisms influencing the distribution of tissues. Research has found that with the continuous development of spatial structures, different node structures have a significant impact on the construction and stress distribution of structures. As a type of forked, intersecting node, the stress node formed by a tree branch has a smooth and continuous transition after the intersection of different main and branch pipes. The size of the intersection angle of the load-bearing lines and the shape of the rod cross-section have a significant impact on the overall structural stress. Extracting the structural characteristics of tree branches and applying them to the design of magnet support structures can greatly improve their stiffness.

[0067] Diatom shell structure: Numerous planktonic organisms inhabit the Antarctic ocean, their structures adhering to principles of high efficiency and lightweight design. Observations have revealed that predators of these planktonic organisms shake the diatom shells like a drill; this vibration load is high-frequency and high-intensity. It is estimated that the diatom shell structure protects the internal cells from these vibration loads. Diatom cells can withstand 700,000 kg / m³. -2 The load is equivalent to placing 150 cars on a manhole cover. Studying the shell structure of plankton and extracting its characteristics for use in the design of magnet support structures can greatly improve their vibration resistance and enhance the modal characteristics of the magnet support.

[0068] S4, Bionic design of the support frame, referencing Figure 3 .

[0069] A biomimetic design of the magnet support for the storage ring of a synchrotron radiation source is employed to improve its first-order modal natural frequency. This can be approached from two main angles: first, by conducting micro-scale biomimetic structural design of the top plate, side plates, web, and flanges; and second, by conducting macro-scale biomimetic structural design of the load-bearing structure, free from the constraints of traditional top plate, side plates, web, and flange structures.

[0070] S4.1 Determine the size specifications.

[0071] Since the design of the storage ring magnet support needs to meet the parameter requirements of the synchrotron radiation source electron beam, and in order to adapt to other structures designed in the early stage, the layout division was referenced when determining the support size specifications to determine the appropriate size specifications, and six-point constraint fixation was selected.

[0072] S4.2 Perform topology optimization.

[0073] This example decides to abandon the constraints of traditional structures such as top plate, web plate, and reinforcing ribs, and instead start with a solid cuboid for biomimetic structural design.

[0074] S4.2.1. Mesh generation and finite element analysis are performed using the Workbench module of ANSYS to obtain the static structural parameters of the cuboid.

[0075] The length, width, and height of the cuboid are determined by its dimensions. Constraints and loads are applied to designated areas on the top and sides, following the boundary conditions of a traditional support structure. The static structural parameters of the cuboid are obtained through finite element analysis.

[0076] S4.2.2 Using static structural parameters as preloads, perform modal analysis on the cuboid under the same constraint conditions to obtain the magnitude and mode shape of each mode.

[0077] S4.2.3. Using static structural parameters and modal analysis results as input conditions, perform topology optimization on the cuboid.

[0078] S4.2.3.1. Set optimization areas: set areas such as the magnet guide groove and the magnet support point as exclusion areas, and set other areas that do not directly determine the stability of the magnet as optimization areas.

[0079] S4.2.3.2 Perform analysis settings, limiting parameters such as the maximum number of iterations and convergence accuracy;

[0080] S4.2.3.3 Based on the input conditions of the first two steps, set the optimization objectives as: maximizing the first-order mode, minimizing the maximum deformation, and reducing the mass.

[0081] S4.2.3.4, Set response constraints.

[0082] The traditional magnet support retains approximately 17% of the mass of the cuboid. Based on previous work, replacing the same structure with a biomimetic structure reduces the mass by about 55%, depending on the proportion of different structures. Therefore, the response constraint is set at 36% mass retention for the magnet support. After replacing it with the biomimetic structure, the overall mass retention will also be around 17% of the cuboid's mass, facilitating comparison. Once this constraint is met, the results are considered convergent, and the iteration ends.

[0083] S4.3 Parameterizing the properties of biomimetic structures

[0084] The mechanical properties (including elastic modulus E, compressive strength σ, specific energy absorption SEA, etc.) of structures such as honeycomb structures (honeycomb structures under a hierarchical strategy), skeletal structures, bamboo cell structures, tree branch structures, and planktonic shell structures are parameterized to determine the influence of the proportion of the total mass of the structure used on the mechanical properties of the magnet support structure.

[0085] S4.4 Particle swarm optimization algorithm for multi-objective optimization and allocation of biomimetic structures.

[0086] First, the optimization objective of the magnet support is a multi-objective function, requiring a higher-order mode, smaller maximum deformation, and lower mass. Second, the objective function for the magnet support optimization lacks a clear analytical expression and is a multi-peak function; the objective function and constraints are discontinuous, non-differentiable, and highly nonlinear. Traditional optimization algorithms essentially find extrema by differentiating the function, which has significant limitations when facing such complex and difficult optimization problems. Therefore, the particle swarm optimization algorithm is introduced.

[0087] Particle swarm optimization (PSO) is an algorithm that simulates the foraging response of bird flocks. It designs an optimization algorithm based on the process by which birds find food most quickly, representing a form of population biomimicry at the level of biological social behavior. Intelligent optimization algorithms like PSO generally do not require the continuity or concavity / convexity of the objective function and constraints, and sometimes even do not require an analytical expression. They also have a strong adaptability to the uncertainty of the data during computation.

[0088] S4.4.1 Constructing the allocation model.

[0089] In this example, we assign five biomimetic structures to five regions of the topologically optimized magnet support. Each region can be assigned a maximum of three structures simultaneously, and the volume occupied by each structure can range from 0% to 100%. The sum of the volumes occupied by all structures must also range from 0% to 100%. Each particle is represented by a 5x10 matrix, with each row representing a biomimetic structure, the first five columns representing the regions where the structure appears, and the last five columns representing the volume occupied by the structure. We define the performance functions as maximizing the first-order mode and minimizing the maximum deformation. Each parameterized biomimetic structure will produce two different performance metrics. The sum of the performance metrics for the first-order mode and maximum deformation after the five structures are assigned is the total performance of a magnet support. The mass is defined as the cost function; the larger the mass of the magnet support, the higher the cost. By weighted superposition of the performance function and the cost function, we obtain the assignment function of a magnet support, also called the fitness value. Since we place greater emphasis on the magnitude of the first-order mode, we can increase the weight of the first-order mode. A higher final fitness value is better.

[0090] S4.4.2 Setting up the particle swarm optimization (PSO) population.

[0091] We consider the structural allocation of a magnet support as a particle. Each particle contains a matrix representing a position. A particle can remember its own best position (i.e., the position with the highest fitness value) and also knows the best positions previously reached by the entire population. Each particle has its own initial velocity, a component velocity influenced by its own best position, and another component velocity influenced by the population's best position. The sum of these three velocities forms the new velocity, which is the velocity update formula. ω is the inertia weight, c1 and c2 are learning factors reflecting the magnitude of their influence, and r1 and r2 are random numbers between 0 and 1, increasing the randomness of the particle's movement. Let the time interval be 1 second. The particle's new position is the vector sum of the old position and the velocity multiplied by time. This yields the state transition equation:

[0092]

[0093]

[0094] We set a population size, an upper limit for population iteration, and an initial value for the particle swarm. Each iteration updates the position and velocity of the particles. By continuously iterating the particle swarm according to the above rules, we can find the point with the largest fitness value in the entire solution space, which is the optimal allocation strategy.

[0095] S4.4.3 Substitute the algorithm into MATLAB to complete the optimization algorithm.

[0096] S5. Verify the modal and strength indices and output the design results.

[0097] Using Rhino's Grasshopper module, model the biomimetic magnet support designed in step four and import it into ANSYS's Workbench module. Apply real load data, mesh the structure to the required accuracy, and perform modal analysis. If the first-order modal parameters are not met, use the modal analysis results as input and redesign the biomimetic structure according to step four. If the modal analysis results meet the first-order modal parameters, perform a strength check on the biomimetic magnet support. If the strength check results do not meet the strength requirements, adjust the structural form and mass distribution based on the finite element analysis results, strengthen the weak points of the magnet support, and perform modal and strength analyses again with the adjusted results. If the strength check results meet the requirements, directly output the model to complete the design.

[0098] Reference Figures 4 to 13 An accelerator magnet holder, comprising:

[0099] The entire support structure is a monolithic unit, consisting of an upper top plate, side support structures, a central side plate structure, a bottom crossbeam structure, a supporting cross structure, and the support shell, forming an organic whole. Unlike traditional structures that involve machining individual parts and then welding them together, this support structure incorporates numerous micro and macroscopic structures of varying scales. An additive manufacturing approach based on a multi-scale parallel topology optimization algorithm is employed, allowing the entire support structure to be manufactured using 3D printing.

[0100] The top plate of the support frame adopts a honeycomb structure. Its function is to provide support and fixation for the magnets, to withstand pressure and absorb vibration. The remaining parts work together with the top plate to achieve functions such as vibration reduction, bending resistance and torsion resistance. Bamboo fiber-like reinforcing ribs are interspersed in the honeycomb structure to improve the tensile strength of the part below the neutral layer.

[0101] The side support structure of the scaffold adopts a skeletal structure, with thick ends and a thin middle section. The smooth transition from the ends to the middle section forms a structure of equal strength. The mass distribution at the root ends is relatively dense, which on the one hand allows for a smooth transition with other structures of the scaffold and avoids stress concentration; on the other hand, the root stress and bending moment are relatively large, so the root cross-section is increased to improve tensile and compressive stiffness. At the same time, it mimics the design of a skeletal structure, with a reinforced outer shell and a cancellous bone-like structure filled in the middle, while retaining gaps to reduce weight.

[0102] The side plate structure in the middle of the side of the support is the center of symmetry of the support and has the largest bending moment. It adopts a layered honeycomb structure and is interspersed with bamboo fiber imitation reinforcement.

[0103] The bottom crossbeam of the support adopts a diatomaceous earth shell structure with a reinforcing rib in the center to improve tensile and compressive stiffness. The middle section has a weight-reducing hole to reduce weight and vibration. The diatomaceous earth shell has very high stiffness. This structure allows each support of the support to form a closed chamber, which improves the torsional stiffness of the magnet support.

[0104] The support structure at the intersection adopts a tree branch structure. The cross angle of each branch structure, as well as the cross-sectional shape and mass distribution of the structure, are adjusted to improve the overall rigidity of the support.

[0105] The outer shell of the support structure employs a diatomaceous earth shell structure with a sandwich structure to enhance structural rigidity. Small circular holes are incorporated to reduce stress concentration and minimize the impact of inherent defects in the manufacturing materials on structural rigidity. The mass distribution and stagger angles of the different layers of the shell are adjusted to minimize vibration transmission efficiency.

[0106] The transverse tensile fibers interspersed in the honeycomb structure are the bamboo cell structure.

[0107] Positional relationships can be determined using topology optimization algorithms such as Evolutionary Structure Optimization (ESO) and Level Set Optimization (LSM). Connectivity can be achieved through transitional connections using methods such as Variable Density Method (SIMP) and multi-scale parallel topology optimization. Positional relationships can be obtained by using particle swarm optimization to assign positions to different biomimetic structures.

[0108] Specifically, refer to Figures 4-7 :

[0109] The top surface of the top view is used to place the magnets. The entire plate is subjected to compression at the top and tension at the bottom of the neutral layer. The top plate is the part of the entire structure with the highest stiffness requirement and also the area with the largest mass of the magnet support. Therefore, it needs to improve stiffness and reduce weight. A honeycomb structure is used to withstand pressure and absorb vibration. Bamboo-fiber-like reinforcing ribs are interspersed within the honeycomb structure to improve the tensile strength of the part below the neutral layer. The honeycomb can adopt a layered, six-chiral honeycomb structure based on a spider web. This structural form has an elastic modulus 13 times that of a standard honeycomb structure and a compressive strength 3 to 4 times that of a standard honeycomb structure, ensuring that the magnet support structure does not warp or torsion.

[0110] The two supporting structures are primarily subjected to compressive stress and employ a skeletal structure. The ends are thicker than the middle, with smooth transitions from the ends to the middle, creating a structure of equal strength. The denser mass distribution at the root ends allows for a smooth transition with other structures within the magnet support, preventing stress concentration. Furthermore, the root area experiences higher stress and bending moments, necessitating an increased root cross-section to enhance tensile and compressive stiffness. Simultaneously, mimicking a skeletal structure, the outer shell is reinforced, while the interior is filled with a simulated cancellous bone structure, retaining gaps to reduce weight.

[0111] The three locations are on the sides of the magnet support, which are the centers of symmetry of the support and have the largest bending moments. They require a layered honeycomb structure with interspersed bamboo fiber reinforcing ribs.

[0112] The structure is primarily subjected to tensile forces and utilizes a diatomaceous earth shell. The diatomaceous earth shell structure features a central reinforcing rib to enhance tensile and compressive stiffness, and weight-reducing holes in the middle section to decrease weight and vibration. The diatomaceous earth shell has extremely high stiffness, and this structure allows the magnet support to form closed chambers, thereby increasing the torsional stiffness of the support.

[0113] Five structural intersections create high-stress areas, forming stress nodes. The overall rigidity of the support structure is improved by adjusting the intersection angles of the load-bearing components, as well as the cross-sectional shape and mass distribution of the structures, mimicking a tree-branch structure.

[0114] Similarly, at 6 locations, the structure also intersects, mimicking a tree branch structure to form a smooth transition connection to reduce stress concentration, while adjusting the intersection angle of the load-bearing capacity and the cross-sectional shape and mass distribution at the stress nodes.

[0115] The seven sections form the outer shell structure of the entire magnet support. This shell structure mimics plankton, incorporating a layered structure to enhance structural rigidity. Tiny circular holes are used to reduce stress concentration and minimize the impact of inherent defects in the manufacturing materials on structural rigidity. The mass distribution and staggered angles of the different layers of the shell are adjusted to minimize vibration transmission efficiency.

[0116] The content of the above method embodiments is applicable to this magnet bracket embodiment. The specific functions implemented by this magnet bracket embodiment are the same as those of the above method embodiments, and the beneficial effects achieved are also the same as those achieved by the above method embodiments.

[0117] The above is a detailed description of the preferred embodiments of the present invention. However, the present invention is not limited to the embodiments described. Those skilled in the art can make various equivalent modifications or substitutions without departing from the spirit of the present invention. All such equivalent modifications or substitutions are included within the scope defined by the claims of this application.

Claims

1. A scaffold design method based on a biomimetic structure, characterized in that, Includes the following steps: Modal and intensity metrics are constructed based on user needs; Considering the high stiffness characteristics, the structural form was confirmed and a biomimetic design of the support was carried out to obtain the support design model; Modal and strength analyses were performed on the support design model to obtain the analysis results. The analysis results are compared with modal and strength indices, and a support design model is output based on the comparison results. The step of confirming the structural form and performing biomimetic design of the support system, considering its high stiffness characteristics, to obtain the support system design model, specifically includes: Considering the high stiffness characteristics, a biomimetic structural form was confirmed; The biomimetic structural forms include animal bone structure, honeycomb structure, bamboo cell structure, tree branch structure and diatom shell structure; Topology optimization is performed based on a solid cuboid, and the biomimetic structural properties are parameterized. The scaffold design model is obtained by performing multi-objective optimization and allocating biomimetic structures based on the particle swarm optimization algorithm.

2. The biomimetic structure-based support design method according to claim 1, characterized in that, The modal index refers to the first-order modal natural frequency requirements of each component.

3. The biomimetic structure-based support design method according to claim 2, characterized in that, The support design model includes the top plate of the support, the side support structure of the support, the middle side plate structure of the support, the bottom crossbeam position of the support, the cross support section of the support, and the outer shell structure of the support.

4. The biomimetic structure-based support design method according to claim 3, characterized in that, The step of performing topology optimization based on a solid cuboid and parameterizing the biomimetic structural properties specifically includes: Based on a solid cuboid, determine the dimensions of the solid cuboid according to the user's required size specifications; Based on preset boundary conditions, the static structural parameters of the cuboid are obtained through finite element analysis. Using static structural parameters as preloads, modal analysis was performed on a cuboid under the same constraint conditions to obtain modal analysis parameters. The static structural parameters and modal analysis results are used as input conditions to perform topology optimization on the cuboid; The mechanical properties of the biomimetic structural form are parameterized, and the proportion of the biomimetic structural form used in the overall mass and its impact on the mechanical properties of the support structure are determined.

5. The method for designing a support based on a biomimetic structure according to claim 4, wherein the step of comparing the analysis results with modal indices and strength indices, and outputting a support design model based on the comparison results, specifically includes: Compare the analysis results with modal indices; If the analysis results do not meet the modal indices, the biomimetic design of the scaffold should be carried out again using the modal parameters in the analysis results as input conditions. If the analysis results meet the modal indices, compare the analysis results with the strength indices; If the analysis results do not meet the strength requirements, adjust the structural form and mass distribution according to the finite element analysis results, and repeat the modal analysis and strength analysis. If the analysis results meet the strength requirements, output the support design model.

6. An accelerator magnet holder, characterized in that, The accelerator magnet support is an integral structure, consisting of an upper top plate, side support structures, a middle side plate structure, a bottom crossbeam structure, a supporting cross structure, and a support shell, forming an organic whole, including: The top plate of the bracket adopts a honeycomb structure to provide support and fixation for the magnets, and to withstand pressure and absorb vibration. The side support structure of the frame adopts the structure of animal skeleton, which is thick at both ends and thin in the middle, with the two ends smoothly transitioning to the middle to form a structure of equal strength. The side panel structure in the middle of the support frame adopts a layered honeycomb structure. The bottom crossbeam of the support uses a diatomaceous earth shell structure to improve the torsional stiffness of the support. The support structure at the intersection adopts a tree branch structure. The size of the intersection angle of the load-bearing branches, as well as the cross-sectional shape and mass distribution of the structure, are adjusted to improve the overall rigidity of the support. The bracket housing uses a diatomaceous earth shell structure to reduce vibration transmission efficiency.

7. An accelerator magnet holder according to claim 6, characterized in that, The honeycomb structure is reinforced with bamboo-fiber-like ribs.

8. An accelerator magnet holder according to claim 6, characterized in that, The diatom shell structure has a reinforcing rib at the center and a weight-reducing hole in the middle section.

9. An accelerator magnet holder according to claim 6, characterized in that, The diatom shell structure is provided with a sandwich structure and circular holes.

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