Superconducting magnet fatigue topology optimization method and related devices

Abstract

The application provides a superconducting magnet fatigue topology optimization method and related device, comprising: determining a main bearing structure based on the overall structure of a superconducting magnet; obtaining stress amplitudes corresponding to at least two loading conditions according to at least two predetermined loading conditions, each loading condition corresponding to a physical field; determining the fatigue life of the main bearing structure based on the stress amplitudes; determining a fatigue topology optimization model of the superconducting magnet based on the fatigue life, the fatigue topology optimization model of the superconducting magnet being related to the structure quality and the fatigue life of each unit in the main bearing structure; and determining an optimized unit according to the fatigue topology optimization model of the superconducting magnet.

Description

Technical Field

[0001] This application relates to the field of superconducting magnets, and more specifically, to a method and apparatus for fatigue topology optimization of superconducting magnets. Background Technology

[0002] Superconducting magnets, due to their ability to generate strong magnetic fields, have already been successfully applied in fields such as nuclear magnetic resonance, electromagnetic catapults, and rail transportation. However, the rail transportation field differs from other static operating conditions. Within the weight specifications of superconducting magnets, there are certain requirements for their ability to withstand dynamic conditions such as impact and vibration, as well as for their service life.

[0003] Superconducting magnets, due to their ability to generate strong magnetic fields, have already been successfully applied in fields such as nuclear magnetic resonance, electromagnetic catapults, and rail transportation. However, the rail transportation field differs from other static operating conditions. Within the weight specifications of superconducting magnets, there are certain requirements for their ability to withstand dynamic conditions such as impact and vibration, as well as for their service life.

[0004] Currently, the design of superconducting magnets for high-temperature superconducting electric levitation trains needs to meet design specifications such as high structural strength, low heat leakage in the temperature field, high electromagnetic field strength, and light weight. However, there is a certain design contradiction between high structural strength and light structural weight. Topology optimization can be used to optimize structural stiffness and static strength without relying on the designer's experience. However, there is currently no corresponding optimization method for superconducting magnets in terms of fatigue strength to solve the coupling relationship between fatigue strength and multi-physics fields, as well as the contradiction between fatigue strength and weight reduction. Summary of the Invention

[0005] To address the current lack of optimization methods for superconducting magnets regarding fatigue strength, and to resolve the coupling relationship between fatigue strength and multiphysics fields, as well as the contradiction between fatigue strength and weight reduction, this application provides a superconducting magnet fatigue topology optimization method and related apparatus, as follows:

[0006] A method for fatigue topology optimization of superconducting magnets includes:

[0007] Based on the overall structure of the superconducting magnet, the main load-bearing structure is determined;

[0008] Based on at least two preset loading conditions, for the loading conditions of the main load-bearing structure, the stress amplitude corresponding to the at least two loading conditions is obtained, and each loading condition corresponds to a physical field;

[0009] Based on the stress amplitude, the fatigue life of the main load-bearing structure is determined;

[0010] The fatigue topology optimization model of the superconducting magnet is determined based on the fatigue life. The fatigue topology optimization model of the superconducting magnet is related to the structural mass and the fatigue life of each unit in the main load-bearing structure.

[0011] The optimization unit is determined based on the fatigue topology optimization model of the superconducting magnet.

[0012] Optionally, in the above method, obtaining the stress amplitude corresponding to the at least two preset loading conditions for the main load-bearing structure loading conditions includes:

[0013] The peak-to-peak value of the electromagnetic force is obtained, and the peak-to-peak value of the electromagnetic force is applied to the coil mounting base unit that cooperates with the superconducting coil to obtain the first stress amplitude. The main bearing structure includes the coil mounting base unit.

[0014] The peak thermal stress value is obtained, and the peak thermal stress value is applied to the main support unit to obtain the second stress amplitude. The main load-bearing structure includes the main support unit.

[0015] The peak values ​​of positive and negative impact forces are obtained and applied to the overall structure of the superconducting magnet to obtain the third stress amplitude.

[0016] Optionally, before obtaining the peak thermal stress value and applying the peak thermal stress value to the main support position to obtain the second stress amplitude, the above method further includes:

[0017] Obtain the thermodynamic peak-to-peak value of the coupled temperature field and structural field;

[0018] Based on the thermal peak value and the superconducting magnet, a result cloud map is obtained, which includes the temperature stress characterizing each structure in the superconducting magnet;

[0019] In the result cloud map, the main support unit that meets the temperature stress condition is selected as the structure to bear the peak thermal force value.

[0020] Optionally, in the above method, determining the fatigue life of the main load-bearing structure based on the stress amplitude includes:

[0021] Based on the first preset stress-life correspondence, determine the first fatigue life of the coil mounting unit corresponding to the first stress amplitude;

[0022] Based on the second preset stress-life correspondence, determine the second fatigue life of the main support unit corresponding to the second stress amplitude;

[0023] Based on the third preset stress-life correspondence, the third fatigue life of the superconducting magnet corresponding to the third stress amplitude is determined.

[0024] Optionally, in the above method, determining the fatigue topology optimization model of the superconducting magnet based on the fatigue life includes:

[0025] Based on the fourth preset stress-life correspondence, the unit's inherent fatigue allowable life and corresponding inherent fatigue allowable stress of each main support unit in the superconducting magnet are determined.

[0026] Based on the inherent fatigue allowable life of the unit and the preset filtering function, the fatigue allowable life of the unit is identified;

[0027] Based on the fatigue life of the main load-bearing structure, a fatigue topology optimization model is established with the goal of reducing the mass of the superconducting magnet and the allowable fatigue life of the unit as a constraint.

[0028] Optionally, the above method may involve establishing a fatigue topology optimization model based on the fatigue life of the main load-bearing structure and constrained by the allowable fatigue life of the unit, including:

[0029] With the goal of reducing the mass of the superconducting magnet, and with the constraint that the peak stress of the cyclic load corresponding to the fatigue life of any component structure of the superconducting magnet is not greater than the peak stress of the cyclic load corresponding to the inherent allowable fatigue life of the component structure, a fatigue topology optimization model is established.

[0030] Optionally, in the above method, determining the optimization unit based on the fatigue topology optimization model of the superconducting magnet includes:

[0031] Based on the fatigue topology optimization model of the superconducting magnet, a target unit whose fatigue life contribution value meets the preset weight reduction condition is determined as the optimization unit among at least three component units of the superconducting magnet. The fatigue life contribution value of the component unit is related to the fatigue life of the component unit.

[0032] A superconducting magnet fatigue topology optimization device, comprising:

[0033] The main load-bearing structure determination module is used to determine the main load-bearing structure based on the overall structure of the superconducting magnet.

[0034] The loading condition module is used to obtain the stress amplitude corresponding to the at least two loading conditions for the main load-bearing structure loading condition based on at least two preset loading conditions, and each loading condition corresponds to a physical field;

[0035] The fatigue life determination module is used to determine the fatigue life of the main load-bearing structure based on the stress amplitude.

[0036] The model determination module is used to determine the fatigue topology optimization model of the superconducting magnet based on the fatigue life. The fatigue topology optimization model of the superconducting magnet is related to the structural mass and the fatigue life of each unit in the main load-bearing structure.

[0037] The optimization unit determination module is used to determine the optimization units based on the fatigue topology optimization model of the superconducting magnet.

[0038] An electronic device includes: a memory and a processor;

[0039] The memory stores the processing program;

[0040] The processor is used to load and execute the processing program stored in the memory to implement the steps of the superconducting magnet fatigue topology optimization method as described in any of the preceding claims.

[0041] A readable storage medium having a computer program stored thereon, the computer program being invoked and executed by a processor to implement the steps of the superconducting magnet fatigue topology optimization method as described in any of the preceding claims.

[0042] In summary, this embodiment provides a method and related apparatus for fatigue topology optimization of a superconducting magnet, comprising: determining a main load-bearing structure based on the overall structure of the superconducting magnet; obtaining stress amplitudes corresponding to at least two preset loading conditions for the main load-bearing structure, each loading condition corresponding to a physical field; determining the fatigue life of the main load-bearing structure based on the stress amplitudes; determining a fatigue topology optimization model of the superconducting magnet based on the fatigue life, wherein the fatigue topology optimization model of the superconducting magnet is related to the structural mass and the fatigue life of each unit in the main load-bearing structure; and determining optimization units based on the fatigue topology optimization model of the superconducting magnet. In this embodiment, after determining the main load-bearing structure of the superconducting magnet, various loading conditions are applied to the main load-bearing structure to obtain its fatigue life. Based on the fatigue life, a fatigue topology optimization model of the superconducting magnet is determined, and then optimization units are determined based on the fatigue topology optimization model. This realizes the coupling relationship between multiple physical fields and fatigue strength. Based on the fatigue strength-determined fatigue topology optimization model, the corresponding optimization units can be determined, realizing the relationship between fatigue strength and weight reduction. This resolves the coupling relationship between fatigue strength and multiple physical fields, as well as the contradiction between fatigue strength and weight reduction. Attached Figure Description

[0043] To more clearly illustrate the technical solutions of the embodiments of this application, the drawings used in the description of the embodiments will be briefly introduced below. Obviously, the drawings described below are only embodiments of this application. For those skilled in the art, other drawings can be obtained based on the provided drawings without creative effort.

[0044] Figure 1 This is a flowchart of Embodiment 1 of a fatigue topology optimization method for superconducting magnets provided in this application;

[0045] Figure 2 This is a flowchart of Embodiment 2 of the fatigue topology optimization method for superconducting magnets provided in this application;

[0046] Figure 3 This is a schematic diagram of electromagnetic force in Embodiment 2 of the superconducting magnet fatigue topology optimization method provided in this application;

[0047] Figure 4 This is a schematic diagram of the superconducting magnet structure in Embodiment 2 of the superconducting magnet fatigue topology optimization method provided in this application;

[0048] Figure 5 This is a flowchart of Embodiment 3 of a fatigue topology optimization method for superconducting magnets provided in this application;

[0049] Figure 6 This is a flowchart of Embodiment 4 of a fatigue topology optimization method for superconducting magnets provided in this application;

[0050] Figure 7 This is a flowchart of Embodiment 5 of a fatigue topology optimization method for superconducting magnets provided in this application;

[0051] Figure 8 This is a schematic diagram of an embodiment of a superconducting magnet fatigue topology optimization device provided in this application. Detailed Implementation

[0052] The technical solutions of the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, and not all embodiments. Based on the embodiments of this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.

[0053] like Figure 1 The diagram shown is a flowchart of Embodiment 1 of a fatigue topology optimization method for superconducting magnets provided in this application. This method is applied to an electronic device and includes the following steps:

[0054] Step S101: Determine the main load-bearing structure based on the overall structure of the superconducting magnet;

[0055] It should be noted that a superconducting magnet refers to an electromagnet made by using a type II superconductor with a high transition temperature and a particularly high critical magnetic field to form coils at low temperatures. Its main characteristics are the absence of electrical losses due to wire resistance and the absence of magnetic losses due to the presence of an iron core.

[0056] When determining the topology optimization for superconducting magnet fatigue, it is necessary to determine the main load-bearing structure of the superconducting magnet.

[0057] Specifically, the main load-bearing structure determined in this step may include multiple structures, and the main load-bearing structure will be different under different loading conditions.

[0058] In practice, this superconducting magnet can be applied to high-temperature superconducting electric levitation trains.

[0059] In subsequent embodiments, the loading of the main load-bearing structure under different loading conditions will be described in detail, which will not be described in detail in this embodiment.

[0060] Step S102: Based on at least two preset loading conditions, for the loading conditions of the main load-bearing structure, obtain the stress amplitude corresponding to the at least two loading conditions, each loading condition corresponding to a physical field;

[0061] Among them, based on a variety of preset loading conditions, the main load-bearing structure is subjected to loading conditions to obtain the stress amplitude corresponding to each loading condition.

[0062] Each loading condition corresponds to a physical field. By using multiple preset loading conditions, the relationship between each physical field and fatigue strength is determined.

[0063] In practice, for each loading condition, the main load-bearing structure is loaded multiple times to obtain the stress amplitude of each loading under each loading condition.

[0064] The number of times the load is performed can be a preset number; however, this application does not impose a limit on the number of loads.

[0065] It should be noted that this stress amplitude refers to the difference between the maximum normal stress and the maximum negative stress in a load cycle of an object.

[0066] The process will be described in detail in subsequent embodiments, but will not be described in detail in this embodiment.

[0067] Step S103: Determine the fatigue life of the main load-bearing structure based on the stress amplitude;

[0068] The number of stress cycles a material experiences before fatigue failure is called fatigue life.

[0069] Among them, the electronic device has a preset stress-life correspondence (SN curve table), and the fatigue life corresponding to the stress amplitude is determined based on the preset stress-life correspondence.

[0070] The stress-life curve uses the fatigue strength of the standard material specimen as the vertical axis and the logarithm of the fatigue life lg N as the horizontal axis. Based on the stress-life curve, a number of stress-life correspondence tables are determined. In this application, the fatigue life is mainly determined using the SN curve table.

[0071] It should be noted that structures are prone to fatigue failure under long-term cyclic loading. Fatigue life is an important indicator for measuring the fatigue characteristics of a structure. It is based on the SN (stress-life) curve of the material or part, combined with the fatigue damage accumulation theory, to check the fatigue strength or calculate the fatigue life.

[0072] Specifically, the SN curve table describes the relationship between the peak stress of cyclic loading and fatigue life, most commonly in the form of a power function, as shown below:

[0073]

[0074] Where β and C are material constants, which are related to material properties, specimen type, stress ratio and loading method, L is fatigue life and σL is stress amplitude.

[0075] For example, the β value of the material studied in superconducting magnet research is 7, and the C value is 20.

[0076] It should be noted that this application does not impose any restrictions on the values ​​of these two material constants.

[0077] Step S104: Determine the fatigue topology optimization model of the superconducting magnet based on the fatigue life. The fatigue topology optimization model of the superconducting magnet is related to the structural mass and the fatigue life of each unit in the main load-bearing structure.

[0078] In this process, after determining the fatigue life under each loading condition, a fatigue topology optimization model of the superconducting magnet is constructed based on the fatigue life.

[0079] It should be noted that the process of constructing the fatigue topology optimization model will be described in detail in subsequent embodiments, but will not be described in detail in this embodiment.

[0080] Step S105: Determine the optimization unit based on the fatigue topology optimization model of the superconducting magnet.

[0081] In this process, after establishing the fatigue topology optimization model of the superconducting magnet, the optimization units are determined based on the optimizable parts of the superconducting magnet according to the fatigue topology optimization model.

[0082] The optimized unit is a structural unit that does not contribute to the fatigue life of the superconducting magnet.

[0083] During the manufacturing process, this optimization unit can be removed by milling without reducing the fatigue life of the superconducting magnet, and it can also achieve the purpose of weight reduction.

[0084] In this embodiment, topology optimization is a mathematical method that optimizes the material distribution within a given region based on given load conditions, constraints, and performance indicators. It is a type of structural optimization.

[0085] In this application, a fatigue topology optimization model was established to achieve structural optimization of superconducting magnets.

[0086] It should be noted that the process of determining the optimization unit will be described in detail in subsequent embodiments, but will not be described in detail in this embodiment.

[0087] In summary, this embodiment provides a fatigue topology optimization method for a superconducting magnet, comprising: determining the main load-bearing structure based on the overall structure of the superconducting magnet; obtaining the stress amplitude corresponding to the at least two loading conditions for the main load-bearing structure, each loading condition corresponding to a physical field; determining the fatigue life of the main load-bearing structure based on the stress amplitude; determining the fatigue topology optimization model of the superconducting magnet based on the fatigue life, wherein the fatigue topology optimization model of the superconducting magnet is related to the structural mass and the fatigue life of each unit in the main load-bearing structure; and determining the optimization unit based on the fatigue topology optimization model of the superconducting magnet. In this embodiment, after determining the main load-bearing structure of the superconducting magnet, various loading conditions are applied to the main load-bearing structure to obtain its fatigue life. Based on the fatigue life, a fatigue topology optimization model of the superconducting magnet is determined, and then optimization units are determined based on the fatigue topology optimization model. This realizes the coupling relationship between multiple physical fields and fatigue strength. Based on the fatigue strength-determined fatigue topology optimization model, the corresponding optimization units can be determined, realizing the relationship between fatigue strength and weight reduction. This resolves the coupling relationship between fatigue strength and multiple physical fields, as well as the contradiction between fatigue strength and weight reduction.

[0088] like Figure 2 The diagram shown is a flowchart of Embodiment 2 of a fatigue topology optimization method for superconducting magnets provided in this application. The method includes the following steps:

[0089] Step S201: Determine the main load-bearing structure based on the overall structure of the superconducting magnet;

[0090] Step S201 is the same as the corresponding step in Example 1, and will not be described again in this example.

[0091] Step S202: Obtain the peak value of the electromagnetic force, and apply the peak value of the electromagnetic force to the coil mounting base unit that cooperates with the superconducting coil to obtain the first stress amplitude. The main bearing structure includes the coil mounting base unit.

[0092] Among them, the loading condition corresponding to step S202 is the coupling condition of electromagnetic field and structural field.

[0093] Specifically, the time-varying electromagnetic force and Lorentz force are obtained through electromagnetic field calculations, and the peak-to-peak value of the electromagnetic force is obtained. The peak-to-peak value of the electromagnetic force is the maximum value of the positive electromagnetic force and the maximum value of the negative electromagnetic force.

[0094] The Lorentz force refers to the force exerted on a moving charge in a magnetic field, that is, the force exerted by the magnetic field on the moving charge.

[0095] In the case of coupling between the electromagnetic field and the structural field, the main load-bearing structure is a coil mounting unit that works in conjunction with the superconducting coil.

[0096] Specifically, the peak-to-peak value of the electromagnetic force is applied to the coil mounting unit, and the stress amplitude of the coil mounting unit is determined. Specifically, the maximum value of the positive electromagnetic force with direction is subtracted from the maximum value of the negative electromagnetic force to obtain the first stress amplitude.

[0097] In practice, the peak value of the electromagnetic force is applied to the coil mounting unit according to a preset number of loading cycles to determine the fatigue life of the coil mounting unit.

[0098] The time-varying electromagnetic force is calculated by loading electromagnetic calculation boundary conditions (such as motion velocity, magnetomotive force, external dimensions of the superconducting coil and the figure-eight coil, and the distance between the center lines of the superconducting coil and the figure-eight coil) into the modeling and simulation software, and the periodic electromagnetic force that changes with time is obtained.

[0099] In the modeling and simulation software, time-varying electromagnetic forces are simulated to generate traction force, levitation force, and guiding force. Specifically, these are electromagnetic forces generated by the mutual attraction or repulsion between the superconducting magnet and the magnetic fields of the ground traction coil and figure-eight coil.

[0100] In practice, the modeling and simulation software can include COMSOL, Maxwell, etc. This application does not impose any restrictions on the specific form of the modeling and simulation software. Figure 3 The diagram illustrates electromagnetic forces, where the dashed lines represent the time-varying electromagnetic force experienced by superconducting coil B, and the solid lines represent the time-varying electromagnetic force experienced by superconducting coil C. Based on this... Figure 2 The curve shown indicates that the electromagnetic force includes a maximum value and a minimum value. The maximum value is the maximum value of the positive electromagnetic force, and the minimum value is the maximum value of the negative electromagnetic force.

[0101] Step S203: Obtain the thermal peak force value, and apply the thermal peak force value to the main support unit to obtain the second stress amplitude. The main load-bearing structure includes the main support unit.

[0102] Among them, the loading condition corresponding to step S203 is the coupled condition of temperature field and structural field.

[0103] The coupling condition in this step is thermo-mechanical coupling. This thermo-mechanical coupling process is the mutual influence between two physical fields: the stress field and the temperature field. That is, temperature affects the deformation under stress, and at the same time, the deformation under stress also affects the temperature change.

[0104] Specifically, the main load-bearing structure under the coupled working conditions of temperature field and structural field is first determined, and the determined main load-bearing structure is the main support unit.

[0105] The process of determining the main load-bearing structure will be described in detail in subsequent embodiments, but will not be described in detail in this embodiment.

[0106] Specifically, the main support unit is the structure that connects the highest and lowest temperatures in the superconducting magnet structure. The middle part of the main support unit is most susceptible to the influence of the temperature field.

[0107] Among them, after determining that the main load-bearing structure is the main support unit, the peak thermal stress is applied to the main support unit.

[0108] Specifically, the peak thermal stress is calculated by converting the thermal stress value with the loading area. The thermal stress value is determined by the thermal stress result obtained from the temperature field calculation within the temperature range from the lowest to the highest temperature under working conditions.

[0109] Specifically, the thermal peak value is calculated based on the thermal stress and loading area corresponding to the lowest and highest temperatures, respectively.

[0110] Specifically, the peak thermal load is applied to the main support unit, and the stress amplitude of the main support unit is determined by subtracting the maximum positive thermal peak and the maximum negative thermal peak with direction to obtain the second stress amplitude.

[0111] Specifically, the peak thermal stress is applied to the main support unit according to a preset number of loading cycles in order to determine the fatigue life of the main support unit.

[0112] Step S204: Obtain the peak values ​​of positive and negative impact forces, apply them to the overall structure of the superconducting magnet, and obtain the third stress amplitude;

[0113] Among them, the loading condition corresponding to step S204 is the mechanical boundary condition.

[0114] Specifically, this mechanical boundary condition applies atmospheric pressure and the peak values ​​of positive and negative impact forces obtained from the experiment to the main force transmission location.

[0115] Specifically, the atmospheric pressure is applied to the outer Dewar surface of the superconducting magnet, and the peak values ​​of the positive and negative impact forces are manifested in the form of acceleration, directly applied to the entire superconducting magnet structure.

[0116] It should be noted that the positive and negative impact peak values ​​are also the peak-to-peak values ​​of the impact force, used to measure the impact of acceleration changes caused by uneven road surfaces on the magnet.

[0117] Specifically, atmospheric pressure and the peak values ​​of positive and negative impact forces obtained from experiments are applied to the superconducting magnet structure according to a preset number of loading cycles in order to determine the fatigue life of the superconducting magnet structure.

[0118] It should be noted that the peak values ​​of the positive and negative impact forces were obtained from an experiment. This experiment was conducted in advance and does not need to be performed every time; obtaining basic data is sufficient.

[0119] like Figure 4 The diagram shows the structure of a superconducting magnet, including two coils 401, a coil mounting base 402, and a main support unit 403. The two coils are indicated by dashed lines. The coil mounting base is used to mount the coils, and the main support unit is used to connect the highest and lowest temperatures of the superconducting magnet. This superconducting magnet may also include other structures; this embodiment does not impose any limitations.

[0120] Specifically, the highest temperature is the temperature at the end of the main support near the vehicle body, which is the same as room temperature; the lowest temperature is the temperature at the end of the main support near the superconducting coil, which is the same as the temperature of the superconducting coil.

[0121] It should be noted that, in specific implementations, the loading order of the three loading conditions is not limited to the order shown in this embodiment. It can be any order, or they can be loaded simultaneously. This application does not restrict the loading order of the loading conditions.

[0122] Step S205: Determine the fatigue life of the main load-bearing structure based on the stress amplitude;

[0123] Step S206: Determine the fatigue topology optimization model of the superconducting magnet based on the fatigue life. The fatigue topology optimization model of the superconducting magnet is related to the structural mass and the fatigue life of each unit in the main load-bearing structure.

[0124] Step S207: Determine the optimization unit based on the fatigue topology optimization model of the superconducting magnet.

[0125] Steps S205-207 are consistent with the corresponding steps in Example 1, and will not be repeated in this example.

[0126] In summary, this embodiment provides a fatigue topology optimization method for superconducting magnets, comprising: obtaining the peak-to-peak value of electromagnetic force; loading the peak-to-peak value of electromagnetic force onto a coil mounting unit that cooperates with a superconducting coil to obtain a first stress amplitude, wherein the main load-bearing structure includes the coil mounting unit; obtaining the peak value of thermal force; loading the peak value of thermal force onto a main support unit to obtain a second stress amplitude, wherein the main load-bearing structure includes the main support unit; and obtaining the peak values ​​of positive and negative impact forces; loading them onto the overall structure of the superconducting magnet to obtain a third stress amplitude. In this embodiment, three loading conditions are set: a coupling condition between the electromagnetic field and the structural field, a coupling condition between the temperature field and the structural field, and a mechanical boundary condition. The stress amplitude under each of these three conditions is determined, providing a foundation for subsequently determining the fatigue life of the main load-bearing structure and establishing a fatigue topology optimization model.

[0127] like Figure 5 The flowchart shown is a third embodiment of a fatigue topology optimization method for superconducting magnets provided in this application. The method includes the following steps:

[0128] Step S501: Determine the main load-bearing structure based on the overall structure of the superconducting magnet;

[0129] Step S502: Obtain the peak value of the electromagnetic force, and apply the peak value of the electromagnetic force to the coil mounting base unit that cooperates with the superconducting coil to obtain the first stress amplitude. The main bearing structure includes the coil mounting base unit.

[0130] Steps S501-502 are consistent with the corresponding steps in Example 2, and will not be repeated in this example.

[0131] Step S503: Obtain the thermodynamic peak-to-peak value of the coupled temperature field and structural field;

[0132] This embodiment describes the process of determining the main load-bearing structure under the coupled working conditions of temperature field and structural field.

[0133] Among them, the thermal stress results obtained by temperature field calculation within the temperature variation range from the lowest to the highest temperature of each component structure of the superconducting magnet under working conditions are the peak-to-peak values ​​of the thermal stress calculation results.

[0134] For example, the minimum temperature to the maximum temperature can be 20K-293K, 35K-293K, etc.

[0135] Among the peak-to-peak values ​​of the thermal stress calculation results, the largest peak value was calculated at 20K-293K, and the smallest peak value was calculated at 35K-293K.

[0136] It should be noted that the determined thermodynamic peak value is the thermodynamic peak value obtained for each structure of the superconducting magnet.

[0137] Step S504: Based on the thermal peak value and the superconducting magnet, a result cloud map is obtained, which includes the temperature stress characterizing each structure in the superconducting magnet;

[0138] The result cloud map is obtained by combining the thermal peak values ​​of each structure of the superconducting magnet with the structure of the superconducting magnet.

[0139] The temperature stress is calculated based on the two peak values, specifically by subtracting the maximum positive thermal peak value and the maximum negative thermal peak value with direction.

[0140] Specifically, based on the determination of the temperature stress of each structure in the superconducting magnet, and for each structure, a result cloud map is obtained, which includes the temperature stress of each structure in the superconducting magnet.

[0141] Step S505: Select the main support unit that meets the temperature stress condition from the result cloud map as the structure that bears the peak thermal force value;

[0142] Among them, the temperature stress condition is the one with the greatest temperature stress among all structures.

[0143] Among them, the structure at the location of the greatest temperature stress in the superconducting magnet is the structure that bears the peak thermal stress value, and it is most affected by temperature.

[0144] Specifically, in the result cloud map, the structure with the highest temperature stress is selected as the structure that can bear the peak thermal force value.

[0145] Specifically, the main support unit has the greatest temperature stress in the superconducting magnet. This main support unit connects the highest temperature structure and the lowest temperature structure, and the middle part of this main support unit is the location with the greatest temperature stress.

[0146] In subsequent steps, the thermal peak force value can be applied to the middle of the main support unit to achieve the coupling of the loading temperature field and the structural field.

[0147] Step S506: Obtain the thermal peak force value, and apply the thermal peak force value to the main support unit to obtain the second stress amplitude. The main load-bearing structure includes the main support unit.

[0148] Step S507: Obtain the peak values ​​of positive and negative impact forces, apply them to the overall structure of the superconducting magnet, and obtain the third stress amplitude;

[0149] Step S508: Determine the fatigue life of the main load-bearing structure based on the stress amplitude;

[0150] Step S509: Determine the fatigue topology optimization model of the superconducting magnet based on the fatigue life. The fatigue topology optimization model of the superconducting magnet is related to the structural mass and the fatigue life of each unit in the main load-bearing structure.

[0151] Step S510: Determine the optimization unit based on the fatigue topology optimization model of the superconducting magnet.

[0152] Steps S508-510 are the same as the corresponding steps in Example 2, and will not be described again in this example.

[0153] In summary, the fatigue topology optimization method for superconducting magnets provided in this embodiment further includes: obtaining the thermal peak-to-peak value of the coupled temperature field and structural field; obtaining a result cloud map based on the thermal peak-to-peak value and the superconducting magnet, wherein the result cloud map includes temperature stress characterizing each structure in the superconducting magnet; and selecting the main support unit that satisfies the temperature stress condition as the structure bearing the thermal peak force value from the result cloud map. In this embodiment, the result cloud map is obtained based on the thermal peak-to-peak value of the coupled temperature field and structural field and the superconducting magnet, and the main support unit bearing the thermal peak force value is selected based on the result cloud map, thus realizing the selection of the structure bearing the thermal peak force value based on the structure of the superconducting magnet.

[0154] like Figure 6 The flowchart shown is a sample of Embodiment 4 of a fatigue topology optimization method for superconducting magnets provided in this application. The method includes the following steps:

[0155] Step S601: Determine the main load-bearing structure based on the overall structure of the superconducting magnet;

[0156] Step S602: Obtain the peak value of the electromagnetic force, and apply the peak value of the electromagnetic force to the coil mounting base unit that cooperates with the superconducting coil to obtain the first stress amplitude. The main bearing structure includes the coil mounting base unit.

[0157] Step S603: Obtain the thermal peak force value, and apply the thermal peak force value to the main support unit to obtain the second stress amplitude. The main load-bearing structure includes the main support unit.

[0158] Step S604: Obtain the peak values ​​of positive and negative impact forces, apply them to the overall structure of the superconducting magnet, and obtain the third stress amplitude;

[0159] Steps S601-604 are the same as the corresponding steps in Example 2, and will not be repeated in this example.

[0160] Step S605: Determine the first fatigue life of the coil mounting unit corresponding to the first stress amplitude based on the first preset stress-life correspondence.

[0161] The first preset stress-life correspondence is set for the stress-life correspondence of the coil mounting base.

[0162] In practice, the relationship between the stress and lifespan of the coil mounting base is influenced by the structural shape of the coil mounting base and the materials used.

[0163] Specifically, after determining the first stress amplitude and the number of loading cycles of the coil mounting base, the first fatigue life of the coil mounting base is determined based on the first preset stress-life correspondence.

[0164] It should be noted that in the specific implementation, multiple stress tests need to be performed on the superconducting magnet under the coupled conditions of electromagnetic field and structural field, that is, multiple peak-to-peak electromagnetic force loadings need to be performed on the coil mounting unit.

[0165] After multiple stress tests, the first fatigue life of the coil mounting base was obtained, providing a basis for the subsequent construction of a fatigue topology optimization model.

[0166] In practice, the nominal stress method can be used to predict the fatigue life of structures in superconducting magnets.

[0167] Specifically, the structural failure is based on the fatigue cumulative damage theory. According to Miner's (Palmgren-Miner) rule, fatigue damage can be linearly accumulated, as shown in the following formula:

[0168]

[0169] Where D represents the fatigue damage value, Ln represents the fatigue life at the nth stress level, ln represents the number of cycles at the nth stress level, and m is the stress level number. When D = 1, it indicates material failure.

[0170] Specifically, based on the above formula (1), the fatigue damage value of each component in the superconducting magnet under various working conditions is calculated, and the damage values ​​of the same component under multiple working conditions are accumulated to obtain the fatigue damage value of the component.

[0171] For example, the number of tests and the corresponding fatigue life of the coil mounting base under the coupled electromagnetic field and structural field conditions and the mechanical boundary conditions are divided to obtain the damage value under the corresponding conditions. Then, the damage values ​​under each condition are added together to obtain the fatigue damage value of the coil mounting base.

[0172] In specific implementation, the fatigue damage value of each component in the superconducting magnet can be determined based on the above formula (2) to determine the number of stress tests and / or stress amplitude that the superconducting magnet can be subjected to, so as to limit the fatigue damage value of each component to less than 1 and prevent the material from being damaged.

[0173] Step S606: Determine the second fatigue life of the main support unit corresponding to the second stress amplitude based on the second preset stress-life correspondence.

[0174] The second preset stress-life correspondence is set for the stress-life correspondence of the main support unit.

[0175] In practice, the relationship between the stress and lifespan of the main support unit is influenced by its structural shape and the materials used.

[0176] Specifically, after determining the second stress amplitude and loading number of the main support unit, the second fatigue life of the main support unit is determined based on the second preset stress-life correspondence.

[0177] It should be noted that, in practice, multiple stress tests need to be performed on the superconducting magnet under the coupled conditions of temperature field and structural field, that is, multiple applications of peak thermal force are applied to the main support unit.

[0178] After multiple stress tests, the second fatigue life of the main support unit was determined, providing a basis for the subsequent construction of a fatigue topology optimization model.

[0179] Step S607: Determine the third fatigue life of the superconducting magnet corresponding to the third stress amplitude based on the third preset stress-life correspondence.

[0180] The third preset stress-life correspondence is a curve set for the stress-life correspondence of superconducting magnets (including Dewar).

[0181] In this process, after determining the third stress amplitude of the superconducting magnet, the third fatigue life corresponding to the third stress amplitude is determined based on the third preset stress-life correspondence.

[0182] It should be noted that in the actual implementation, multiple stress tests need to be performed on the superconducting magnet under mechanical boundary conditions, that is, multiple loading of atmospheric pressure and positive and negative impact force peaks are applied to the superconducting magnet.

[0183] Accordingly, the third fatigue life of the superconducting magnet is determined for each cycle, providing a basis for the subsequent construction of a fatigue topology optimization model.

[0184] Step S608: Determine the fatigue topology optimization model of the superconducting magnet based on the fatigue life. The fatigue topology optimization model of the superconducting magnet is related to the structural mass and the fatigue life of each unit in the main load-bearing structure.

[0185] Step S609: Determine the optimization unit based on the fatigue topology optimization model of the superconducting magnet.

[0186] Steps S608-609 are the same as the corresponding steps in Example 2, and will not be described again in this example.

[0187] In summary, this embodiment provides a fatigue topology optimization method for superconducting magnets, comprising: determining the first fatigue life of the coil mounting unit corresponding to the first stress amplitude based on a first preset stress-life correspondence; determining the second fatigue life of the main support unit corresponding to the second stress amplitude based on a second preset stress-life correspondence; and determining the third fatigue life of the superconducting magnet corresponding to the third stress amplitude based on a third preset stress-life correspondence. In this embodiment, based on multiple preset stress-life curves, the fatigue life of the corresponding structures for the first, second, and third stress amplitudes is determined respectively, providing a basis for subsequently constructing a fatigue topology optimization model. Moreover, the process of determining the fatigue life of each structure is simple and easy to implement.

[0188] like Figure 7 The flowchart shown is a sample of Embodiment 5 of a fatigue topology optimization method for superconducting magnets provided in this application. The method includes the following steps:

[0189] Step S701: Determine the main load-bearing structure based on the overall structure of the superconducting magnet;

[0190] Step S702: Based on at least two preset loading conditions, for the main load-bearing structure loading conditions, obtain the stress amplitude corresponding to the at least two loading conditions;

[0191] Step S703: Determine the fatigue life of the main load-bearing structure based on the stress amplitude;

[0192] Steps S701-703 are consistent with the corresponding steps in Example 1, and will not be repeated in this example.

[0193] Step S704: Based on the fourth preset stress-life correspondence, determine the unit's inherent fatigue allowable life and corresponding inherent fatigue allowable stress of each main support unit in the superconducting magnet;

[0194] The fourth preset stress-life correspondence is a characterization of the relationship between the inherent fatigue allowable stress and the inherent fatigue allowable life of each unit in a superconducting magnet.

[0195] Specifically, the fourth preset stress-life correspondence is influenced by the structural shape of the corresponding unit and the materials used.

[0196] Specifically, the pre-defined stress-life relationship can be established using an SN curve table.

[0197] In practice, the stress amplitude corresponding to 10e7 times is obtained by looking up the SN curve table. Here, 10e7 is the inherent fatigue allowable life of the unit, and the stress corresponding to the stress amplitude change of 10e7 times is the inherent fatigue allowable stress.

[0198] Specifically, the process of determining the inherent allowable fatigue stress is performed for each main support unit in the superconducting magnet.

[0199] Step S705: Based on the inherent fatigue allowable life of the unit and the preset filtering function, the fatigue allowable life of the unit is identified;

[0200] In fatigue topology optimization design, it is necessary to consider that the fatigue life of the structure should be greater than the allowable fatigue life, which is obtained by filtering the allowable fatigue life of the unit's inherent structure through a filtering function.

[0201] According to the ICM (iteration condition model) method, the filtering function is an increasing function in the interval (0,1].

[0202] Therefore, in this step, based on the inherent fatigue allowable life of each unit and the preset filtering function determined in the preceding steps, the corresponding unit fatigue allowable life is identified.

[0203] Specifically, the fatigue life filtering function f L (t i L represents the fatigue life of the unit, t i This represents the i-unit in the overall structure of a superconducting magnet.

[0204] The formula for the relationship between unit fatigue life and allowable fatigue life is as follows:

[0205]

[0206] Among them, L i (t i ) is the fatigue life of the i-unit in a superconducting magnet. It is the allowable fatigue life of unit i.

[0207] Accordingly, the formula relating the allowable fatigue life of an element to its inherent allowable fatigue life is as follows:

[0208]

[0209] in, This is the allowable fatigue life of unit i. It is the inherent allowable fatigue life of unit i, f L (t i ) is a filtering function.

[0210] Step S706: Based on the fatigue life of the main load-bearing structure, with the goal of reducing the mass of the superconducting magnet and the allowable fatigue life of the unit as the constraint, establish a fatigue topology optimization model;

[0211] In the aforementioned steps, the fatigue life of each unit in the main load-bearing structure of the superconducting magnet was determined, and a fatigue topology optimization model was established based on the fatigue life of each unit in the main load-bearing structure of the superconducting magnet.

[0212] Specifically, a fatigue topology optimization model is established with the goal of reducing the mass of the superconducting magnet and the allowable fatigue life of each unit as a constraint.

[0213] Specifically, the methods for establishing fatigue topology optimization models include:

[0214] With the goal of reducing the mass of the superconducting magnet, and with the constraint that the peak stress of the cyclic load corresponding to the fatigue life of any component structure of the superconducting magnet is not greater than the peak stress of the cyclic load corresponding to the inherent allowable fatigue life of the component structure, a fatigue topology optimization model is established.

[0215] The fatigue topology optimization model includes formulas for selecting optimization elements, calculating the mass of the superconducting magnet, and determining the relationship between the fatigue life of the limiting element and the allowable fatigue life. Specifically:

[0216]

[0217] Where t represents a constituent unit of the superconducting magnet, the superconducting magnet has N constituent units, W represents the total mass of the superconducting magnet, and minW represents the minimum total mass of the superconducting magnet. i L represents the mass of unit i. i It is the fatigue life of the i-unit in a superconducting magnet. It is the allowable fatigue life of unit i.

[0218] To achieve optimization, a reverse lifetime is introduced, as shown in the following formula:

[0219]

[0220] The formula relating the element fatigue life to the allowable fatigue life is as follows:

[0221]

[0222] Combining formula (5), the fatigue life related formulas (6)-(7), and the aforementioned formula (1) relating the peak stress of cyclic load to fatigue life, the following fatigue topology optimization model is obtained:

[0223]

[0224] in, This represents the peak stress of the cyclic load corresponding to the fatigue life of element i. This peak stress is the stress amplitude determined in the previous steps. If an element is subjected to multiple working conditions, the stress amplitudes of the multiple working conditions are superimposed. This represents the peak stress of the cyclic load corresponding to the inherent allowable fatigue life of element i. If an element is subjected to multiple working conditions, the peak stress of the cyclic load corresponding to the inherent allowable fatigue life of the multiple working conditions is superimposed.

[0225] Step S707: Determine the optimization unit based on the fatigue topology optimization model of the superconducting magnet.

[0226] In this process, based on the fatigue topology optimization model determined in the preceding steps, the contribution of each component of the superconducting magnet to the fatigue life is determined by iterative calculation.

[0227] Specifically, based on the fatigue topology optimization model of the superconducting magnet, the target unit whose fatigue life contribution value meets the preset weight reduction condition is determined as the optimization unit among at least three component units of the superconducting magnet.

[0228] Specifically, the contribution of each component to fatigue life is defined as the interval [0,1].

[0229] A contribution value of 1 indicates that the component contributes the most to fatigue life and is of high importance, while a contribution value of 0 indicates that the component contributes little to fatigue life and is of low importance.

[0230] The superconducting magnet is composed of multiple component elements. In this step, the contribution value of each component element to the fatigue life is determined, and the optimization unit that can be optimized is determined based on the contribution value.

[0231] Specifically, the constituent units whose fatigue life contribution value is 0 are identified as the optimization units.

[0232] The contribution value of the constituent unit is 0, which does not contribute to satisfying the fatigue life constraint. Therefore, milling out this constituent unit during the manufacturing process will not reduce the fatigue life and can reduce the weight of the superconducting magnet.

[0233] In summary, this embodiment provides a fatigue topology optimization method for superconducting magnets, comprising: determining the inherent allowable fatigue life and corresponding inherent allowable fatigue stress of each main support unit in the superconducting magnet based on a fourth preset stress-life correspondence; identifying the allowable fatigue life of the unit based on the inherent allowable fatigue life and a preset filtering function; and establishing a fatigue topology optimization model based on the fatigue life of the main support unit, with the reduction of the superconducting magnet's mass as the objective and the allowable fatigue life of the unit as the constraint. In this embodiment, based on the inherent allowable fatigue life of each unit in the superconducting magnet under various loading conditions, and further combined with a preset filtering function, the allowable fatigue life of the unit is obtained. Based on the fatigue life of the main support unit, with the reduction of the superconducting magnet's mass as the objective and the allowable fatigue life of the unit as the constraint, a fatigue topology optimization model is established, achieving the purpose of constructing a fatigue topology optimization model. Moreover, based on this fatigue topology optimization model, the weight reduction of the superconducting magnet can be achieved while ensuring fatigue strength.

[0234] Corresponding to the above embodiment of the superconducting magnet fatigue topology optimization method provided in this application, this application also provides an embodiment of an apparatus for applying the superconducting magnet fatigue topology optimization method.

[0235] like Figure 8 The diagram shown is a structural schematic of an embodiment of a superconducting magnet fatigue topology optimization device provided in this application. The device includes the following structures: a main load-bearing structure determination module 801, a working condition loading module 802, a fatigue life determination module 803, a model determination module 804, and an optimization unit determination module 805.

[0236] The main load-bearing structure determination module 801 is used to determine the main load-bearing structure based on the overall structure of the superconducting magnet.

[0237] The loading module 802 is used to obtain the stress amplitude corresponding to the at least two loading conditions for the main load-bearing structure loading condition based on at least two preset loading conditions, and each loading condition corresponds to a physical field.

[0238] The fatigue life determination module 803 is used to determine the fatigue life of the main load-bearing structure based on the stress amplitude.

[0239] The model determination module 804 is used to determine the fatigue topology optimization model of the superconducting magnet based on the fatigue life. The fatigue topology optimization model of the superconducting magnet is related to the structural quality and the fatigue life of each unit in the main load-bearing structure.

[0240] The optimization unit determination module 805 is used to determine the optimization unit based on the fatigue topology optimization model of the superconducting magnet.

[0241] Optional, the operating condition loading module includes:

[0242] The first obtaining unit is used to obtain the peak-to-peak value of the electromagnetic force, and to apply the peak-to-peak value of the electromagnetic force to the coil mounting base unit that cooperates with the superconducting coil to obtain the first stress amplitude. The main bearing structure includes the coil mounting base unit.

[0243] The second obtaining unit is used to obtain the thermal peak force value, and load the thermal peak force value onto the main support unit to obtain the second stress amplitude value. The main load-bearing structure includes the main support unit.

[0244] The third obtaining unit is used to obtain the peak values ​​of positive and negative impact forces, which are then applied to the overall structure of the superconducting magnet to obtain the third stress amplitude.

[0245] Optional, also includes:

[0246] The fourth obtaining unit is used to obtain the thermal peak force value, and before the thermal peak force value is applied to the main support position to obtain the second stress amplitude, the thermal peak value of the coupled working condition of the temperature field and the structural field is obtained.

[0247] A unit is used to obtain a result cloud map based on the thermal peak value and the superconducting magnet, the result cloud map including the temperature stress characterizing each structure in the superconducting magnet;

[0248] The selection unit is used to select the main support unit that meets the temperature stress condition as the structure to bear the peak thermal force value in the result cloud map.

[0249] Optionally, the fatigue life determination module is specifically used for:

[0250] Based on the first preset stress-life correspondence, determine the first fatigue life of the coil mounting unit corresponding to the first stress amplitude;

[0251] Based on the second preset stress-life correspondence, determine the second fatigue life of the main support unit corresponding to the second stress amplitude;

[0252] Based on the third preset stress-life correspondence, the third fatigue life of the superconducting magnet corresponding to the third stress amplitude is determined.

[0253] Optionally, the model determination module includes:

[0254] The determination unit is used to determine the inherent fatigue allowable life and corresponding inherent fatigue allowable stress of each main support unit in the superconducting magnet according to the fourth preset stress-life correspondence.

[0255] The identification unit is used to identify the fatigue allowable life of the unit based on the inherent fatigue allowable life of the unit and a preset filtering function;

[0256] A unit is established to create a fatigue topology optimization model based on the fatigue life of the main load-bearing structure, with the goal of reducing the mass of the superconducting magnet and the allowable fatigue life of the unit as a constraint.

[0257] Optional, create cells, specifically for:

[0258] With the goal of reducing the mass of the superconducting magnet, and with the constraint that the peak stress of the cyclic load corresponding to the fatigue life of any component structure of the superconducting magnet is not greater than the peak stress of the cyclic load corresponding to the inherent allowable fatigue life of the component structure, a fatigue topology optimization model is established.

[0259] Optionally, the optimization unit determination module is specifically used for:

[0260] Based on the fatigue topology optimization model of the superconducting magnet, a target unit whose fatigue life contribution value meets the preset weight reduction condition is determined as the optimization unit among at least three component units of the superconducting magnet. The fatigue life contribution value of the component unit is related to the fatigue life of the component unit.

[0261] It should be noted that the functional explanations of the various components of the superconducting magnet fatigue topology optimization device provided in this embodiment are as described in the foregoing method embodiments, and will not be repeated in this embodiment.

[0262] In summary, this embodiment provides a superconducting magnet fatigue topology optimization device, comprising: a main load-bearing structure determination module, used to determine the main load-bearing structure based on the overall structure of the superconducting magnet; a loading condition module, used to obtain the stress amplitude corresponding to the at least two preset loading conditions for the main load-bearing structure loading conditions, each loading condition corresponding to a physical field; a fatigue life determination module, used to determine the fatigue life of the main load-bearing structure based on the stress amplitude; a model determination module, used to determine the fatigue topology optimization model of the superconducting magnet based on the fatigue life, the fatigue topology optimization model of the superconducting magnet being related to the structural mass and the fatigue life of each unit in the main load-bearing structure; and an optimization unit determination module, used to determine optimization units based on the fatigue topology optimization model of the superconducting magnet. In this embodiment, after determining the main load-bearing structure of the superconducting magnet, various loading conditions are applied to the main load-bearing structure to obtain its fatigue life. Based on the fatigue life, a fatigue topology optimization model of the superconducting magnet is determined, and then optimization units are determined based on the fatigue topology optimization model. This realizes the coupling relationship between multiple physical fields and fatigue strength. Based on the fatigue strength-determined fatigue topology optimization model, the corresponding optimization units can be determined, realizing the relationship between fatigue strength and weight reduction. This resolves the coupling relationship between fatigue strength and multiple physical fields, as well as the contradiction between fatigue strength and weight reduction.

[0263] Corresponding to the above embodiment of the superconducting magnet fatigue topology optimization method provided in this application, this application also provides an electronic device and a readable storage medium corresponding to the superconducting magnet fatigue topology optimization method.

[0264] The electronic device includes: a memory and a processor;

[0265] The memory stores the processing program;

[0266] The processor is used to load and execute the processing program stored in the memory to implement the steps of the superconducting magnet fatigue topology optimization method as described in any of the preceding claims.

[0267] For details on the implementation of the superconducting magnet fatigue topology optimization method for this electronic device, please refer to the aforementioned embodiments of the superconducting magnet fatigue topology optimization method.

[0268] The readable storage medium stores a computer program that is invoked and executed by a processor to implement the steps of the superconducting magnet fatigue topology optimization method as described in any of the preceding claims.

[0269] Specifically, the computer program stored in the readable storage medium executes the method for superconducting magnet fatigue topology optimization, as described in the aforementioned embodiments of the superconducting magnet fatigue topology optimization method.

[0270] The various embodiments in this specification are described in a progressive manner, with each embodiment focusing on its differences from other embodiments. Similar or identical parts between embodiments can be referred to interchangeably. The apparatus provided in the embodiments is described simply because it corresponds to the method provided in the embodiments; relevant parts can be found in the method section.

[0271] The above description of the provided embodiments enables those skilled in the art to make or use this application. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of this application. Therefore, this application is not to be limited to the embodiments shown herein, but is to be accorded the widest scope consistent with the principles and novel features provided herein.

Claims

1. A method for fatigue topology optimization of superconducting magnets, characterized in that, include: Based on the overall structure of the superconducting magnet, the main load-bearing structure is determined; Based on at least two preset loading conditions, for the loading conditions of the main load-bearing structure, the stress amplitude corresponding to the at least two loading conditions is obtained, and each loading condition corresponds to a physical field; Based on the stress amplitude, the fatigue life of the main load-bearing structure is determined; The fatigue topology optimization model of the superconducting magnet is determined based on the fatigue life. The fatigue topology optimization model of the superconducting magnet is related to the structural mass and the fatigue life of each unit in the main load-bearing structure. The optimization unit is determined based on the fatigue topology optimization model of the superconducting magnet; The step of obtaining the stress amplitude corresponding to the at least two preset loading conditions for the main load-bearing structure includes: The peak-to-peak value of the electromagnetic force is obtained, and the peak-to-peak value of the electromagnetic force is applied to the coil mounting base unit that cooperates with the superconducting coil to obtain the first stress amplitude. The main bearing structure includes the coil mounting base unit. Obtain the thermodynamic peak-to-peak value of the coupled temperature field and structural field; Based on the thermal peak value and the superconducting magnet, a result cloud map is obtained, which includes the temperature stress characterizing each structure in the superconducting magnet; In the result cloud map, the main support unit that meets the temperature stress condition is selected as the structure that bears the peak thermal force value. The peak thermal stress value is obtained, and the peak thermal stress value is applied to the main support unit to obtain the second stress amplitude. The main load-bearing structure includes the main support unit. The peak values ​​of positive and negative impact forces are obtained and applied to the overall structure of the superconducting magnet to obtain the third stress amplitude; The fatigue topology optimization model for determining the superconducting magnet based on the fatigue life includes: Based on the fourth preset stress-life correspondence, the unit's inherent fatigue allowable life and corresponding inherent fatigue allowable stress of each main support unit in the superconducting magnet are determined. The unit's inherent fatigue allowable life and a preset filtering function are used to identify the unit's fatigue allowable life. Based on the fatigue life of the main load-bearing structure, a fatigue topology optimization model is established with the goal of reducing the mass of the superconducting magnet and the allowable fatigue life of the unit as a constraint.

2. The method according to claim 1, characterized in that, Determining the fatigue life of the main load-bearing structure based on the stress amplitude includes: Based on the first preset stress-life correspondence, determine the first fatigue life of the coil mounting unit corresponding to the first stress amplitude; Based on the second preset stress-life correspondence, determine the second fatigue life of the main support unit corresponding to the second stress amplitude; Based on the third preset stress-life correspondence, the third fatigue life of the superconducting magnet corresponding to the third stress amplitude is determined.

3. The method according to claim 1, characterized in that, Based on the fatigue life of the main load-bearing structure, and with the allowable fatigue life of the unit as a constraint, a fatigue topology optimization model is established, including: With the goal of reducing the mass of the superconducting magnet, and with the constraint that the peak stress of the cyclic load corresponding to the fatigue life of any component structure of the superconducting magnet is not greater than the peak stress of the cyclic load corresponding to the inherent allowable fatigue life of the component structure, a fatigue topology optimization model is established.

4. The method according to claim 3, characterized in that, The determination of optimization units based on the fatigue topology optimization model of the superconducting magnet includes: Based on the fatigue topology optimization model of the superconducting magnet, a target unit whose fatigue life contribution value meets the preset weight reduction condition is determined as the optimization unit among at least three component units of the superconducting magnet. The fatigue life contribution value of the component unit is related to the fatigue life of the component unit.

5. A fatigue topology optimization device for superconducting magnets, comprising: The main load-bearing structure determination module is used to determine the main load-bearing structure based on the overall structure of the superconducting magnet. The loading condition module is used to obtain the stress amplitude corresponding to the at least two preset loading conditions for the main load-bearing structure loading conditions, and each loading condition corresponds to a physical field. The fatigue life determination module is used to determine the fatigue life of the main load-bearing structure based on the stress amplitude. The model determination module is used to determine the fatigue topology optimization model of the superconducting magnet based on the fatigue life. The fatigue topology optimization model of the superconducting magnet is related to the structural mass and the fatigue life of each unit in the main load-bearing structure. The optimization unit determination module is used to determine the optimization units based on the fatigue topology optimization model of the superconducting magnet. The loading module is used to obtain the peak-to-peak value of the electromagnetic force, and apply the peak-to-peak value of the electromagnetic force to a coil mounting unit that cooperates with the superconducting coil to obtain a first stress amplitude. The main load-bearing structure includes the coil mounting unit. It also obtains the peak-to-peak value of the thermodynamic force under the coupled temperature field and structural field conditions. Based on the peak-to-peak value of the thermodynamic force and the superconducting magnet, it obtains a result cloud map, which includes temperature stress characterizing each structure in the superconducting magnet. It selects a main support unit that meets the temperature stress conditions from the result cloud map as the structure to bear the peak thermal force value. It obtains the peak thermal force value, applies the peak thermal force value to the main support unit to obtain a second stress amplitude, and the main load-bearing structure includes the main support unit. Finally, it obtains the peak values ​​of positive and negative impact forces, applies them to the overall structure of the superconducting magnet to obtain a third stress amplitude. The model determination module is used to determine the inherent fatigue allowable life and corresponding inherent fatigue allowable stress of each main support unit in the superconducting magnet based on the fourth preset stress-life correspondence; to identify the unit fatigue allowable life based on the unit inherent fatigue allowable life and the preset filtering function; and to establish a fatigue topology optimization model based on the fatigue life of the main load-bearing structure, with the mass reduction of the superconducting magnet as the objective and the unit fatigue allowable life as the constraint.

6. An electronic device, comprising: Memory, processor; The memory stores the processing program; The processor is used to load and execute the processing program stored in the memory to implement the steps of the superconducting magnet fatigue topology optimization method as described in any one of claims 1-4.

7. A readable storage medium having a computer program stored thereon, the computer program being invoked and executed by a processor to implement the steps of the superconducting magnet fatigue topology optimization method as described in any one of claims 1-4.

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