45 results about "Finite element solution" patented technology

The present invention relates to the field of tire finite element simulation methods, and in particular to a finite element tire simulation rapid convergence method, application and program product using a virtual rim. The present invention establishes an equivalent virtual rim model to achieve relative constraints on the contact position between the virtual rim and the tire, thereby changing the contact state between the tire and the rim, which can greatly improve the convergence of tire finite element analysis under large strain, multiple working conditions and large load conditions. It has been verified that the simulation results using the virtual rim are highly consistent with those using the actual rim. The method improves the analysis efficiency and shortens the research and development cycle while ensuring the analysis accuracy. The present invention is suitable for finite element simulation of various tires such as all-steel radial tires, semi-steel radial tires, bias tires, engineering tires, etc.

The invention relates to the technical field of electromagnetic scattering, in particular to a frequency domain response calculation method and device of an electromagnetic field, equipment and a storage medium. Performing recursive transformation on the time domain basic system equation according to the discrete time domain set and a backward Euler method to obtain a time domain transformation equation and an algebraic matrix equation; carrying out back substitution solving operation on the algebraic matrix equation according to a time domain stepping method and a time domain transformation equation; performing full-time-domain response calculation on the time-domain finite element solution based on a time-domain finite element method to obtain a time-domain base solution; calculating the time domain base solution according to a preset linear superposition principle to obtain a frequency domain response; a continuous problem is dispersed through a backward Euler method, rapid back substitution solution is carried out after factorization for one time, and redundant calculation is reduced; based on a linear superposition principle, phase weighting is carried out to synthesize a time domain base solution, frequency domain response of any frequency is rapidly obtained, frequency-by-frequency repeated calculation is avoided, efficiency is improved, and the method is suitable for broadband high-precision electromagnetic field analysis and has remarkable application value.

The invention provides a water-air cross-medium robot head shape and water entry strategy optimization method and device. The method comprises the steps that a design domain is determined; performing Latin hypercube sampling in a design domain to obtain a design parameter vector; an NURBS curve is drawn, and a water-air cross-medium robot model is formed; resetting the parameters; a simulation calculation domain is generated and gridding is carried out; performing finite element solution on the current grid, and extracting solution data; constructing a low-quality data set and a high-quality data set; obtaining an optimal hyper-parameter of the proxy model through Bayesian optimization; training a proxy model based on the optimal hyper-parameter; constructing an optimization target, and adopting a multi-target optimization algorithm to obtain a solution meeting bionic form constraint and component constraint under the optimization target; and judging whether the agent model converges or not, and outputting optimal design parameters. According to the method, the full-process automatic design normal form of parametric modeling-numerical simulation-parameter optimization is constructed, so that manual real-time intervention in the middle process is avoided, and the process efficiency is greatly improved.

The invention provides an SPH semi-implicit solving method for a landslide and debris flow movement process, and the method comprises the steps: generating a background grid and an SPH particle model of a landslide body or a debris flow body according to the information of a research region and an object source, and applying calculation parameters and boundary conditions; the method comprises the following steps: dividing a momentum conservation equation of a landslide body or a debris flow body into a pressure item, a gradient item and a source item, and carrying out explicit solution on the gradient item and the source item by adopting Runge-Kutta time integral to obtain an explicit speed increment; constructing a finite element solution format for the implicit velocity increment equation by adopting a Galerkin method, and solving to obtain an implicit velocity increment; and combining the explicit speed increment and the implicit speed increment to obtain the SPH particle speed value of the next time step.

The invention belongs to the technical field of pressure vessel structure analysis, and particularly relates to an intelligent reduced basis finite element method for rapidly analyzing the deformation behavior of a pressure vessel. According to the method, a finite element method is improved by adopting a reduced basis method, an online and offline combined solution mode is developed, after design parameters such as a structure size, a load type and size, material attributes and the like are preset, a reduced basis space is obtained by adopting an offline solution mode, and then a mapping relation between a reduced basis solution and a finite element solution is established; according to the method, order reduction of a finite element model is achieved, the degree of freedom of a problem is reduced, the calculation amount needed by solving a linear algebraic equation set through a traditional finite element method is greatly reduced while the precision is guaranteed, a Gaussian process regression method is further introduced to describe the elastic-plastic deformation behavior of the pressure vessel, and therefore the deformation behavior of the pressure vessel is rapidly solved.

The invention discloses a ceramic matrix composite structure optimization design method, which comprises the following steps of: determining a design variable value range and an optimization target according to a design variable type, sampling in a design space by using a Latin hypercube sampling method, parameterizing a ceramic matrix composite structure, and determining a design variable value range; the method comprises the following steps: establishing a ceramic matrix composite structure finite element model, compiling a script to realize finite element solution of program control, obtaining a target function value by adopting a finite element simulation method, and constructing an initial data set; and fitting an objective function by adopting a probability agent model, evaluating a next design point by using an acquisition function, and solving a corresponding objective function value through a finite element until an optimal design variable combination meeting a preset optimization objective is obtained. By means of the technical scheme, the number of design points needing to be evaluated in the optimization process can be remarkably reduced, and the method is suitable for complex ceramic matrix composite structure optimization design high in calculation cost.

The invention relates to the technical field of structure optimization, in particular to a topological optimization method and device for a large-scale fiber reinforced composite material structure, and the method comprises the steps: obtaining material attribute parameters and the like; calculating a unit stiffness matrix corresponding to each group of sampling angles according to a preset sampling interval and attribute parameters of a preset fiber reinforced composite material, calculating a template stiffness matrix of each grid level, and calculating the current displacement of each node of the densest grid level by adopting a geometric multi-grid preprocessing conjugate gradient method; and calculating a target function according to the current design variable and the current displacement of each node of the densest grid level, so as to update the design variable until a preset number of iterations is reached, and outputting a new optimization design. Therefore, the problems that due to the fact that the memory of a GPU global memory is limited, the element stiffness matrix cannot be stored in the topological optimization problem of the large-scale fiber reinforced composite material structure, and the calculation efficiency of the dynamic calculation element stiffness matrix in the finite element solving process is low are solved.

This invention belongs to the field of numerical electromagnetic field solution, specifically a mesh adaptive method based on reconstructive posterior error estimation. The invention first performs finite element modeling of the target microwave component, introducing boundary conditions and excitations to establish a corresponding electromagnetic simulation model. Then, a tetrahedral mesh is used to divide the solution domain, and finite element electromagnetic simulation analysis is performed on the model to calculate the electric field at the centroid of the four faces of the tetrahedral mesh. The least squares principle is then used to refit the electric field on the tetrahedral mesh to reconstruct a first-order linear fitting expression. Next, the reconstructed solution at the nodes is calculated using the reconstructed fitting expression, and posterior error estimation is performed based on the electric field at the nodes. Finally, the mesh is refined according to the error on the tetrahedral mesh, and finite element electromagnetic simulation analysis is performed again until the finite element solution meets the accuracy requirements. This invention has the advantages of simple engineering implementation, low computational cost, and high universality.

The application discloses a kind of T-shaped sheet piece angle joint welding's welding temperature field and deformation prediction method, it is related to welding temperature field and deformation simulation prediction technical field, method steps include obtaining T-shaped sheet piece angle joint welding's temperature field theoretical solution;T-shaped sheet piece grid division and heat source setting are carried out;Solving the temperature field of T-shaped sheet piece angle joint welding, and comparing and analyzing iterative finite element analysis setting with the temperature field theoretical solution obtained;Obtain the welding deformation and stress field of T-shaped sheet piece.The application solves the temperature field of T-shaped sheet piece angle joint welding by using finite element analysis method, and compares and analyzes iterative finite element analysis setting with the temperature field theoretical solution, improve the precision of finite element solution.

The invention discloses a method for a distributed grid file oriented to an Elmer type. Comprising the steps that a host process creates a plurality of parallel processing processes; a plurality of grid file reading threads are respectively created in the process, and signal mechanisms are arranged among the grid file reading threads; after the grid file reading thread reads the Elmer grid data, a body thread determines a target processor divided by a body grid in the process based on a Hiber space filling curve, multi-stage grid re-division is executed, and the grid is re-divided to the corresponding target processor; according to the method, the space filling curve is used for replacing a traditional graph-based partitioning scheme, parallel partitioning is performed based on the spatial distribution of the centroids of the grid units, and after the grids are re-divided, it can be ensured that each processor has the number of the grids with the same scale and the number of interfaces shared among the processors is minimum; on one hand, load balancing during subsequent finite element solution is realized, and on the other hand, grids are divided to a large number of processors for solution.

The invention relates to the technical field of building curtain wall design, in particular to a parameterized finite element simulation calculation method of a point-supported glass curtain wall for improving design efficiency and a storage medium, and the method comprises the following steps: defining an input parameter set, and setting the input parameter set as a global variable; obtaining a segmentation geometric model; unit and material characteristics are given to the segmentation geometric model; performing grid division on the segmented geometric model to generate a finite element grid, so that corresponding finite element nodes exist at the positions of the geometric key points; finite element nodes are recognized, displacement constraint is applied, and meanwhile evenly-distributed pressure loads are applied; mechanical response data are obtained, and when any variable is changed, modeling calculation is repeated based on the changed parameters; and extracting stress distribution, deformation and support counterforce data from a finite element solution calculation result. According to the invention, parameterized automatic simulation is realized, and stress concentration is accurately captured; the utilization of computing resources is optimized while the large deformation behavior of the brittle glass material is accurately simulated, and the design efficiency and the structural safety are improved.

The invention discloses an efficient simulation method for collision between long ellipsoid particles and a wall surface based on discrete elements, and belongs to the technical field of gas-solid two-phase flow numerical simulation. The method comprises the steps that a universal long ellipsoid particle-wall surface collision elastic force model is established, and the model represents a universal function relation between elastic force and particle geometry, material attributes and kinematics state parameters; based on the elastic force model and the momentum theorem, constructing a particle-wall surface collision dynamic model; based on the kinetic equation, a discrete time method and a numerical integration algorithm are adopted, and force, speed and energy parameters, changing along with time, of the long ellipsoid particles and the wall face in the whole collision period are solved. According to the method, the analytic model is embedded into a discrete element simulation framework to replace calculation-intensive finite element solution, so that second-level efficient solution is realized while the calculation precision is ensured, and the calculation efficiency is remarkably improved.

The invention relates to the field of image processing and biomechanics, in particular to a wrist joint mechanical detection method based on finite element analysis, which comprises the steps of acquiring medical image data, preprocessing images, endowing material attributes, setting mechanical loads and applying boundary conditions, solving finite elements and analyzing results. Through finite element analysis, the mechanical behaviors of the wrist joint under different loads can be accurately simulated, and the stress and strain distribution conditions of the wrist joint can be comprehensively analyzed. According to the method, the stress condition of the bone can be detected, the mechanical response of the cartilage tissue can be analyzed in detail, richer and more accurate information is provided for clinical diagnosis, and independent segmentation and assignment processing can be carried out on the lesion part. According to the method, the influence of lesion tissues on the mechanical characteristics of the wrist joint is fully considered, personalized analysis is carried out on patients, a more accurate treatment scheme can be formulated for each patient, and the treatment effect is improved.

The invention belongs to the technical field of fuel tank simulation analysis, and discloses a fuel tank lightning environment direct effect analysis method and system, and the method comprises the following steps: building a fuel tank simulation model, and carrying out the material attribute setting of the fuel tank simulation model; finite element solution analysis is conducted on the fuel tank simulation model with the set material attributes, and a simulation analysis result is generated; and performing comparison verification based on the simulation analysis result and the actual lightning stroke test data of the fuel tank. The method solves the problem that the aircraft fuel tank lacks effective simulation analysis means under the requirements of lightning environment airworthiness certification terms and laws and regulations, different lightning stroke scenes can be quickly covered, and the analysis period is greatly shortened.

The present invention provides a method and device for optimizing the head shape and water entry strategy of a water-air cross-media robot, including determining a design domain; performing Latin hypercube sampling within the design domain to obtain a design parameter vector; drawing a NURBS curve to form a water-air cross-media robot model; resetting parameters; generating a simulation domain and meshing it; performing a finite element solution on the current mesh to extract solution data; constructing low-quality and high-quality data sets; obtaining the optimal hyperparameters of a proxy model through Bayesian optimization; training the proxy model based on the optimal hyperparameters; constructing an optimization target and employing a multi-objective optimization algorithm to obtain a solution that satisfies the biomimetic morphological and component constraints under the optimization target; determining whether the proxy model has converged and outputting the optimal design parameters. By constructing a fully automated design paradigm for parametric modeling, numerical simulation, and parameter optimization, the present invention avoids manual real-time intervention in the intermediate process, significantly improving process efficiency.

The invention discloses an intelligent bearing fault monitoring method and device for wind power operation and maintenance, and belongs to the technical field of wind power fault monitoring. A joint simulation analysis mode based on HyperMesh and ANSYS is introduced, and refined modeling and grid division are performed on a fan bearing structure, so that the bearing fault monitoring efficiency is improved; stress and vibration response characteristics of the bearing under actual working conditions are analyzed by combining finite element solution, bearing vibration energy distribution and key response areas are accurately reflected, and effective coverage of axial, radial and transverse vibration information is realized; according to the method, the arranged sensors can more effectively acquire vibration information closely related to the running state of the bearing, and compared with a unified or empirical measuring point arrangement mode in the prior art, the signal-to-noise ratio and identifiability of bearing fault characteristic signals can be improved, and the probability of occurrence of missing detection and misjudgment can be reduced.

The application belongs to the technical field of pressure vessel structure analysis, and specifically relates to an intelligent reduced basis finite element method for fast analysis of pressure vessel deformation behavior. The application improves the finite element method by using the reduced basis method, and develops an online and offline combined solving mode. After design parameters such as structure size, load type and size, material properties and the like are preset, the reduced basis space is obtained by using the offline solving mode, and then a mapping relationship between the reduced basis solution and the finite element solution is established, so that the finite element model is reduced, the degree of freedom of the problem is reduced, the calculation amount required for solving the linear algebraic equation set by the traditional finite element method is greatly reduced while the accuracy is ensured, and further, the Gaussian process regression method is introduced to describe the elastic-plastic deformation behavior of the pressure vessel, so that the fast solution of the pressure vessel deformation behavior is realized.

The present invention belongs to the field of mechanical analysis and material technology, and discloses a method for decomposing the deformation energy of a planar structure based on anisotropic square units. The method comprises the following steps: constructing a planar deformation of the anisotropic square units in a plane rectangular coordinate system to obtain basic deformation energy and basic displacement basis vectors of the anisotropic square units; establishing a planar structure model, dividing the structure using the anisotropic square units and performing finite element solution to obtain node displacement vectors, basic deformation energy and basic displacement projection coefficients of the anisotropic square units after arbitrary displacement and deformation under arbitrary load conditions; obtaining basic deformation information of the anisotropic square units under arbitrary load conditions, distinguishing the main deformation and secondary deformation of the anisotropic square units under arbitrary load conditions, and thereby realizing deformation energy decomposition and quantitative analysis of deformation performance of the anisotropic planar structure.

The invention discloses a pungent-keeping finite element solving method for dynamic response of a structure under a Hamiltonian system. According to the method, a finite element method is applied to a Hamiltonian equation, a Pocking finite element method is deduced, and it is proved that the Pocking finite element method is of a strict Pocking structure. And on the other hand, programmed solution of a high-order iteration format is realized by utilizing mathematical calculation software. In addition, the flexibility of the pungency-preserving finite element method to the linear Hamiltonian system is also discussed. A plurality of numerical examples verify the excellent performance of the Pocking finite element method in the structural dynamic response problem, and prove the capability of keeping energy conservation and excellent stability of the Pocking finite element method in the long-term dynamic simulation process, and compared with a traditional numerical method, the Pocking finite element method has remarkable advantages.

The embodiment of the invention provides a simulation method and device for craniocerebral growth and a storage medium, and belongs to the technical field of images. The method comprises the following steps: constructing three-dimensional brain models in one-to-one correspondence with standard brain CT sample images corresponding to different growth time periods; taking the three-dimensional brain model corresponding to an initial time period in different growth time periods as an initial simulation model for segmentation to obtain a plurality of brain model components; performing finite element solution of growth parameters on a gridding three-dimensional craniocerebral model obtained by gridding each craniocerebral model component to obtain a predicted craniocerebral model of the next growth time period; obtaining a first target growth parameter corresponding to the current growth time period according to the predicted craniocerebral model and the three-dimensional craniocerebral model in the same growth time period; and taking the predicted craniocerebral model as an initial simulation model to obtain a first target growth parameter of the next growth time period. According to the embodiment of the invention, the simulation efficiency and simulation precision of skull simulation can be considered.

The invention belongs to the field of precision manufacturing of aerospace parts, and relates to a high-precision reconstruction method for a full-feature deformation field of a large-scale part under the constraint of a limited measuring point, in particular to a high-precision reconstruction method for the full-feature deformation field of the large-scale part under the constraint of the limited measuring point. The method comprises the following steps: accurately measuring actual three-dimensional coordinates of sampling measurement points of large cabin parts at different mounting stations to obtain actual offset data of limited measurement points of the large cabin parts; then mechanical modeling and analysis are conducted on the cabin structure, and calculation of all characteristic deformation of the large cabin under the horizontal installation station is completed with the help of a finite element method. A result obtained through finite element solution is integrated into an interpolation reconstruction method depending on data driving, and a regression Kriging interpolation model is constructed. High-precision reconstruction of the full-feature deformation field of the large part under the constraint of limited measuring points is achieved, the solving precision of the full-feature deformation field of the large cabin part is effectively guaranteed, and horizontal in-situ integrated high-precision and high-efficiency machining of the large thin-wall spacecraft cabin part is achieved.

The present application belongs to the technical field of welded structure reliability evaluation, and particularly relates to a calculation method of stress intensity factor of gap defect weld under tensile shear load, comprising: selecting an automobile sheet part as a research object, and constructing a strip two-dimensional model of a gap defect weld containing an initial gap; based on the linear elastic superposition principle, the load borne by the gap defect weld is decomposed into multiple load types; based on the strip two-dimensional model of the gap defect weld containing the initial gap, the analytical solution of the stress intensity factor under the load generation mode corresponding to different load types is calculated respectively, and the analytical solution of the stress intensity factor under different load generation modes is calculated; a finite element model of the gap defect weld is constructed and finite element analysis is carried out, and the finite element solution of the stress intensity factor under different load generation modes is calculated; the analytical solution and the finite element solution of the stress intensity factor under different load generation modes are compared, and the accuracy of the analytical solution of the stress intensity factor is verified.

The present invention relates to the fields of image processing and biomechanics, and specifically is a wrist joint mechanical detection method based on finite element analysis, including: acquiring medical imaging data, image preprocessing, assigning material properties, setting mechanical loads and applying boundary conditions, finite element solution and result analysis. Through finite element analysis, the present invention can accurately simulate the mechanical behavior of the wrist joint under different loads, and comprehensively analyze its stress and strain distribution. The present invention can not only detect the stress conditions of the bones, but also conduct a detailed analysis of the mechanical response of the cartilage tissue, providing richer and more accurate information for clinical diagnosis, and can also perform separate segmentation and assignment processing for the lesions. The present invention fully considers the impact of the lesion tissue on the mechanical properties of the wrist joint, conducts personalized analysis for patients, and can formulate a more accurate treatment plan for each patient to improve the treatment effect.

The application belongs to the technical field of three-dimensional electromagnetic radiation numerical solution, and relates to an electromagnetic radiation simulation analysis method based on local grid self-adaptive division. Firstly, the application carries out finite element modeling on a target antenna, introduces PML boundary and wave port excitation to establish a corresponding finite element calculation domain model, and adopts tetrahedral grid division to classify the calculation domain model; then finite element electromagnetic radiation simulation analysis is carried out to obtain finite element solution, and error estimation and encryption strategy are used to give the encryption size of the grid nodes in the non-PML region; finally, the grid is encrypted, finite element electromagnetic radiation simulation analysis is carried out again, and the process is repeated until the overall solution error is less than the set error limit, the final calculation grid is obtained, and finite element electromagnetic radiation simulation analysis is carried out. The application only encrypts the tetrahedral grid in the non-PML calculation domain, ensures the original characteristics of the tetrahedral grid in the PML calculation domain, and realizes the rapid simulation design of the antenna radiation characteristics while ensuring the calculation accuracy.

The present application relates to a kind of compressor blade grid parameterization joint call analysis method.The present application is with MATLAB software as total control hub, by the flow control and data interaction ability of MATLAB, the grid parameterization deformation technology of HyperMesh software and the parametric finite element solution technology of ANSYS software are organically integrated together, construct a full-automatic closed loop analysis method and system from variable input to result output.The method realizes the quick response and batch calculation of several kinds of uncertain variables such as geometry, material, load, and is especially suitable for the fatigue life reliability analysis of compressor blade.

The invention relates to the technical field of diesel motor rotor single-arm hangers, and discloses a diesel motor rotor single-arm hanger structure design method, which comprises the following steps: S1, establishing a three-dimensional model of a rotor single-arm hanger structure; s2, performing grid division and grid quality detection on the three-dimensional model of the rotor single-arm lifting appliance structure; s3, finite element boundary conditions are set when finite element analysis is carried out on the three-dimensional model of the rotor single-arm lifting appliance structure; s4, performing finite element solution on the three-dimensional model of the rotor single-arm lifting appliance structure; and S5, carrying out iterative optimization on the three-dimensional model of the rotor single-arm lifting appliance structure. Compared with a traditional experience design method, the rotor single-arm lifting appliance structure design method is more scientific and reasonable, the design method is simple and easy to implement, the requirement for the experience of designers is low, the design cost is reduced, meanwhile, the design period is shortened by at least 50% or above, and therefore the design efficiency is improved.

The present application relates to the technical field of building curtain wall design, and more particularly to a parameterized finite element simulation calculation method of point support glass curtain wall for improving design efficiency and a storage medium, comprising: defining an input parameter set and setting it as a global variable; obtaining a segmented geometric model; giving the segmented geometric model unit and material properties; performing mesh division on the segmented geometric model to generate finite element meshes, so that corresponding finite element nodes exist at geometric key point positions; identifying the finite element nodes and applying displacement constraints, while applying uniform pressure loads; obtaining mechanical response data, when any variable is changed, repeating modeling calculation based on the changed parameters; extracting stress distribution, deformation and support reaction data from the finite element solution calculation results. The present application realizes parameterized automatic simulation, accurately captures stress concentration; optimizes the use of computing resources while accurately simulating the large deformation behavior of glass brittle materials, and improves design efficiency and structural safety.

This application provides a nonlinear finite element accelerated solution system and method. The system includes: a physical information neural network model construction module configured to: acquire configuration points in the solution domain of the nonlinear partial differential equation to be solved; input the configuration points into a fully connected neural network to obtain a predicted solution; and obtain a physical information neural network model based on the predicted solution; an input module configured to: construct a finite element model of the nonlinear partial differential equation to be solved; transform the nonlinear partial differential equation to be solved into a system of nonlinear algebraic equations; and generate a predicted value vector based on the finite element model; and a solution module configured to: solve the system of nonlinear algebraic equations using a nonlinear solver to obtain the target solution. This addresses the problem that in current finite element methods for parameterized research scenarios, each time a new parameter value is input, a complete and computationally expensive nonlinear finite element solution process needs to be started independently, leading to repetitive calculations and low efficiency.

The invention discloses an in-situ homogenization method and system for an electronic packaging structure and a medium, and belongs to the technical field of microelectronic integration. The method comprises the following steps: carrying out layering, pixelation and unitization preprocessing on a packaging structure, and dividing macroscopic units; an in-situ structure unit is constructed through in-layer boundary expansion and out-layer boundary expansion, and a boundary overrun problem is processed by combining a low-modulus false expansion region; applying multiple groups of displacement / thermal field boundary conditions, and extracting an equivalent stiffness matrix and an anisotropic thermal expansion coefficient of the macroscopic unit through finite element solution; and finally, replacing the macroscopic unit with an equivalent homogeneous material, and constructing a packaging macroscopic model to support high-efficiency-thermal simulation. According to the method, the cross-layer and cross-scale material interaction effect is truly simulated through in-situ boundary expansion, the limitation of periodic boundary condition assumption in traditional homogenization is broken through, the equivalent parameter calculation precision is remarkably improved, and an efficient solution is provided for reliability evaluation of complex electronic packaging.

The invention discloses an optimal design method and system for an offshore wind power floating foundation structure, and belongs to the field of ocean engineering structure design, and the method comprises the following steps: S1, building a three-dimensional finite element model of the floating foundation structure, and defining a design domain, a non-design domain, material attributes, volume ratio constraints and limit load working conditions for the three-dimensional finite element model; and S2, independently performing finite element solution for each limit load working condition, and calculating the flexibility sensitivity of each unit in the design domain, so that the overall performance and robustness of the final topological configuration are remarkably improved, the sensitivity of a high-conflict region is actively inhibited, and the reliability of the topological configuration is improved. The optimization process can avoid invalid swing between mutually contradictory rigidity requirements, so that a real global optimal solution can be explored and converged, unprecedented design insight and controllability are provided for design engineers, and convergence stagnation or divergence caused by target conflicts is effectively avoided.