Finite Element Simulation Analysis Method for Flexible Interconnection System

Abstract

The present invention belongs to the field of finite element simulation technology, and specifically relates to a finite element simulation analysis method for a flexible interconnection system, the steps of which include obtaining a finite element mesh division scheme for a flexible interconnection system based on the dimension condition data of the flexible interconnection system, determining each flexible interconnection system area, analyzing the material parameters of each flexible interconnection system area, determining the environmental conditions applied for the simulation analysis of each flexible interconnection system area, analyzing the strength and structural vibration state of the mechanical connectors of each flexible interconnection system area, and determining the qualified level of the flexible interconnection system in combination with the characteristic values ​​of the strength of each flexible interconnection system area and the characteristic values ​​of the vibration state of each flexible interconnection system area. The present invention solves the problem of insufficient dynamic analysis and processing capabilities of traditional flexible interconnection systems and insufficient consideration of environmental factors, and helps to more accurately evaluate the overall behavior and performance of the flexible interconnection system, determine the qualified level, and more accurately reflect the real working state of the system.

Description

Technical Field

[0001] The invention belongs to the technical field of finite element simulation, and in particular relates to a finite element simulation analysis method for a flexible interconnection system. Background Art

[0002] With the development of industrial technology, flexible interconnection systems have been widely used in many fields, such as robotics, flexible manufacturing systems, aerospace, automotive industry, biomedical equipment and intelligent devices. These fields often need to deal with complex motion, flexible components and multiple interactions. Compared with traditional rigid systems, flexible interconnection systems have the advantages of flexibility, light weight and strong adaptability, and can better cope with dynamic loads, nonlinear behaviors and complex environmental conditions. For example, flexible robot arms, flexible sensors, wearable devices, etc. have an increasing demand for flexible systems. With the advancement of computer technology and numerical simulation tools, the finite element method has become one of the main methods for analyzing complex systems. The finite element method can simulate the deformation, stress distribution and dynamic behavior of flexible interconnection systems by discretizing complex geometric shapes and multi-degree-of-freedom systems.

[0003] However, there are still some deficiencies in the existing simulation research on flexible interconnection systems. Specifically, the traditional flexible interconnection system has insufficient dynamic analysis and processing capabilities. The mechanical properties of flexible materials are usually highly sensitive to environmental conditions. Traditional finite element analysis often fails to deal with these factors, resulting in large differences between simulation results and actual conditions. Flexible interconnection systems may encounter unexpected dynamic impacts or resonances in actual operation, and the simulation fails to accurately predict these situations, which may cause structural failure, local damage or instability in the system. The environment has a significant impact on the mechanical properties of flexible materials, especially polymer materials and composite materials. In an environment with large temperature changes, the elastic modulus, yield strength, fatigue characteristics, etc. of the material will change significantly. If traditional finite element simulation ignores or simplifies these environmental effects, it may cause the system to perform poorly in high or low temperature environments, and fail to operate normally or fail. Summary of the invention

[0004] In view of the deficiencies in the prior art, the present invention provides a finite element simulation analysis method for a flexible interconnection system, which can effectively solve the problems involved in the above-mentioned background technology, help to more accurately evaluate the overall behavior and performance of the flexible interconnection system, determine the qualification level, and more accurately reflect the actual working status of the system.

[0005] To achieve the above objectives, the present invention is implemented through the following technical solutions:

[0006] The finite element simulation analysis method of the flexible interconnection system includes the following steps:

[0007] Acquire a data set of dimension conditions of the flexible interconnection system, obtain a finite element mesh division scheme of the flexible interconnection system based on the acquired data set of dimension conditions of the flexible interconnection system, and determine each flexible interconnection system region;

[0008] Based on each flexible interconnection system area, the material parameters of each flexible interconnection system area are analyzed to determine the environmental conditions to be applied for simulation analysis of each flexible interconnection system area;

[0009] Based on the simulation analysis of each flexible interconnection system area, the environmental conditions are applied, the strength of the mechanical connectors in each flexible interconnection system area is analyzed, and the strength characteristic value of each flexible interconnection system area is obtained;

[0010] Based on the simulation analysis of each flexible interconnection system area, the environmental conditions are applied, the structural vibration state of each flexible interconnection system area is analyzed, and the characteristic value of the vibration state of each flexible interconnection system area is obtained;

[0011] The qualified grade of the flexible interconnection system is determined by combining the regional strength characteristic values ​​of each flexible interconnection system and the regional vibration state characteristic values ​​of each flexible interconnection system.

[0012] Preferably, the flexible interconnection system size condition data set includes the total length of the flexible interconnection system, the average unit pitch length of the flexible interconnection system, the maximum curvature radius of the flexible interconnection system, the total width of the flexible interconnection system, and the outer diameter of the flexible interconnection system.

[0013] Preferably, the process of obtaining a finite element meshing scheme for the flexible interconnection system based on the acquired flexible interconnection system size condition data set and determining each flexible interconnection system region is as follows:

[0014] The total length of the flexible interconnection system, the average unit pitch length of the flexible interconnection system, the maximum radius of curvature of the flexible interconnection system, the total width of the flexible interconnection system, and the outer diameter of the flexible interconnection system are stored as designated labels, and the designated labels are compared with the finite element mesh division schemes of the flexible interconnection system corresponding to the designated labels stored in the database to obtain the finite element mesh division scheme of the flexible interconnection system corresponding to the designated labels;

[0015] Based on the finite element mesh division scheme of the flexible interconnection system corresponding to the designated label, the finite element mesh division is performed on the flexible interconnection system, and each mesh area after the finite element mesh division of the flexible interconnection system is marked as each flexible interconnection system area.

[0016] Preferably, the process of analyzing the material parameters of each flexible interconnection system region and determining the environmental conditions to be applied for simulation analysis of each flexible interconnection system region is as follows:

[0017] Obtain material parameter data sets of each flexible interconnection system region, and obtain material characteristic values ​​of each flexible interconnection system through comprehensive analysis based on the obtained material parameter data sets of each flexible interconnection system region, and use the material characteristic values ​​of each flexible interconnection system as an analysis basis for determining the environmental conditions applied for simulation analysis of each flexible interconnection system region;

[0018] The material characteristic value of the flexible interconnection system is stored as a designated label, and the designated label is compared with the simulation analysis applied environmental conditions corresponding to each designated label stored in the database to obtain the simulation analysis applied environmental conditions corresponding to the designated label, and the simulation analysis applied environmental conditions corresponding to the designated label are used as the flexible interconnection system area simulation analysis applied environmental conditions corresponding to the material characteristic value of the flexible interconnection system.

[0019] Preferably, the material parameter data sets of each flexible interconnection system region include elastic modulus of materials in each flexible interconnection system region, Poisson's ratio of materials in each flexible interconnection system region, and density of materials in each flexible interconnection system region.

[0020] Preferably, the strength of the mechanical connectors in each flexible interconnection system region is analyzed to obtain the strength characteristic value of each flexible interconnection system region, and the process is:

[0021] Acquire a strength data set of mechanical connectors in each flexible interconnection system region, wherein the strength data set of mechanical connectors in each flexible interconnection system region includes an absolute value of a difference between a tensile strength in each flexible interconnection system region and a reference tensile strength, an absolute value of a difference between a yield strength in each flexible interconnection system region and a reference yield strength, and an absolute value of a difference between a compressive strength in each flexible interconnection system region and a reference compressive strength;

[0022] Based on the acquired strength data set of mechanical connectors in each flexible interconnection system area, the strength characteristic values ​​of each flexible interconnection system area are obtained through comprehensive analysis. The strength characteristic values ​​of each flexible interconnection system area are used as the analysis basis for determining the qualified level of the flexible interconnection system.

[0023] Preferably, the regional strength characteristic value of each flexible interconnection system is obtained by the formula:

[0024] ;

[0025] In the formula, is the regional strength characteristic value of the i-th flexible interconnection system, is the absolute value of the difference between the tensile strength of the i-th flexible interconnection system region and the reference tensile strength, is the absolute value of the difference between the yield strength of the i-th flexible interconnection system region and the reference yield strength, is the absolute value of the difference between the compressive strength of the i-th flexible interconnection system area and the reference compressive strength, For setting The compensation factor, For setting The compensation factor, For setting The compensation factor of i is the number of the flexible interconnection system area.

[0026] Preferably, the process of analyzing the vibration state of each flexible interconnection system region structure to obtain the vibration state characteristic value of each flexible interconnection system region is as follows:

[0027] Acquire a data set of structural vibration states of each flexible interconnection system region, wherein the data set of structural vibration states of each flexible interconnection system region includes an absolute value of a difference between a natural frequency of each flexible interconnection system region and a reference natural frequency, an amplitude of each flexible interconnection system region, and a damping ratio of each flexible interconnection system region;

[0028] Based on the acquired data sets of regional structural vibration states of each flexible interconnection system, the regional vibration state characteristic values ​​of each flexible interconnection system are obtained through comprehensive analysis. The regional vibration state characteristic values ​​of each flexible interconnection system are used as the analysis basis for determining the qualified level of the flexible interconnection system.

[0029] Preferably, the vibration state characteristic value of each flexible interconnection system region is obtained by the formula:

[0030] ;

[0031] In the formula, is the regional vibration state eigenvalue of the i-th flexible interconnection system, is the absolute value of the difference between the natural frequency of the i-th flexible interconnection system region and the reference natural frequency, is the regional amplitude of the i-th flexible interconnection system, is the regional damping ratio of the i-th flexible interconnection system, For setting The compensation factor, For setting The compensation factor, For setting is the compensation factor of the flexible interconnection system, i is the number of the flexible interconnection system area, and e is a natural constant.

[0032] Preferably, the process of determining the qualification level of the flexible interconnection system is as follows:

[0033] Import the regional strength characteristic values ​​of each flexible interconnection system and the regional vibration state characteristic values ​​of each flexible interconnection system into the flexible interconnection system grade analysis model to obtain the flexible interconnection system grade analysis characteristic values, which are used as the analysis basis for determining the qualified grade of the flexible interconnection system;

[0034] The flexible interconnection system grade analysis characteristic value is stored as a designated label, and the designated label is compared with the flexible interconnection system qualification level corresponding to each designated label stored in the database to obtain the flexible interconnection system qualification level corresponding to the designated label.

[0035] The present invention has the following beneficial effects:

[0036] By acquiring the dimensional condition data set of the flexible interconnection system, the present invention can create a more accurate geometric model in the finite element analysis, which helps to improve the accuracy of the simulation results and enables the model to accurately reflect the actual size, shape and connection method of the system. The analysis of the material parameters of each region ensures that the material properties of different regions can reflect the performance under actual working conditions, which helps to more accurately evaluate the overall behavior and performance of the flexible interconnection system. Combined with the strength eigenvalues ​​and vibration state eigenvalues ​​of each region, the overall performance of the flexible interconnection system can be comprehensively evaluated, the qualified level can be determined, and the actual working state of the system can be more accurately reflected.

[0037] The present invention obtains a finite element mesh division scheme for the flexible interconnection system by acquiring a dimension condition data set of the flexible interconnection system, and determines each flexible interconnection system area. The dimension condition data set provides a reliable basis for finite element mesh division, and can avoid the situation where the mesh is too coarse or dense. Reasonable mesh division can ensure that the stress distribution in the key area is captured accurately. By understanding the dimension conditions of the system, local mesh encryption can be performed in stress concentration areas or complex geometric areas, while coarser meshes are used in areas with small changes or small stresses. The consumption of computing resources can be reduced while ensuring accuracy, and computing efficiency can be improved. The dimension condition data set helps to identify possible stress concentration areas, and more refined mesh division can capture stress concentration phenomena, helping to discover potential structural failure risks in advance.

[0038] The present invention analyzes the material parameters of each flexible interconnection system area, determines the environmental conditions applied for simulation analysis of each flexible interconnection system area, and analyzes the material parameters of each flexible interconnection system area, so as to ensure that the environmental conditions applied in the simulation are consistent with the actual working environment, and can more truly reflect the mechanical behavior of the material under the actual working conditions, and avoid design deviations caused by failure to fully consider material properties. Different materials will show significantly different mechanical properties under different environmental conditions (such as high temperature, low temperature, high humidity, corrosive environment, etc.). By combining material parameters and environmental conditions, the performance of the flexible interconnection system in extreme environments can be better evaluated. Simulation can impose different environmental conditions for each area, thereby achieving differentiated optimization design and ensuring the optimization of performance of each area. BRIEF DESCRIPTION OF THE DRAWINGS

[0039] Figure 1 It is a schematic diagram of the method flow of the present invention;

[0040] Figure 2 A flowchart of the steps for determining the environmental conditions to be applied for simulation analysis of each flexible interconnect system area;

[0041] Figure 3 A three-dimensional image of the material characteristic values ​​of each flexible interconnection system as the material density of each flexible interconnection system region and the set compensation factor of the material density of each flexible interconnection system region change;

[0042] Figure 4 It is an image of the material characteristic values ​​of each flexible interconnection system changing with the material density of each flexible interconnection system area. DETAILED DESCRIPTION

[0043] The embodiments of the present invention are further described below in conjunction with the accompanying drawings:

[0044] like Figure 1 As shown, the finite element simulation analysis method of the flexible interconnection system includes the following steps: obtaining a flexible interconnection system size condition data set, obtaining a flexible interconnection system finite element mesh division scheme based on the obtained flexible interconnection system size condition data set, and determining each flexible interconnection system area.

[0045] The flexible interconnection system size condition data set includes the total length of the flexible interconnection system, the average unit pitch length of the flexible interconnection system, the maximum curvature radius of the flexible interconnection system, the total width of the flexible interconnection system, and the outer diameter of the flexible interconnection system.

[0046] The total length of the flexible interconnection system refers to the overall length of the system from one end to the other, usually including the length of all flexible units, connectors and related components; the unit pitch length refers to the center distance between two adjacent flexible units in the flexible interconnection system; the average unit pitch length is the average of all unit pitch lengths in the system; the maximum radius of curvature refers to the maximum radius of curvature of a part of the flexible interconnection system, which is usually used to describe the minimum bending radius that the system can withstand. If a certain bending area of ​​the system has a maximum allowable radius of curvature, exceeding this radius will cause structural failure or damage; the total width of the flexible interconnection system refers to the width of the system in the direction of the maximum cross-section, which is usually used to describe the lateral dimensions of the system, especially for two-dimensional or wide flexible structures; the outer diameter of the flexible interconnection system refers to the largest diameter of the system in the cross section, which is usually applicable to cylindrical or similar flexible structures (such as flexible pipes, cables, etc.), indicating the maximum external dimension of its cross-sectional profile. The total length of the flexible interconnection system, the average unit pitch length of the flexible interconnection system, the maximum radius of curvature of the flexible interconnection system, the total width of the flexible interconnection system, and the outer diameter of the flexible interconnection system are obtained based on a three-dimensional scanner.

[0047] The total length of a flexible interconnected system is usually composed of multiple connected unit sections, and the length of each unit section is determined by its pitch. The total length of the system is directly related to the unit pitch length. If the system is composed of multiple unit sections of the same length, the total length can be obtained by multiplying the unit pitch length by the number of units; the total length and the maximum curvature radius jointly affect the morphology of the flexible system. The maximum curvature radius describes the minimum degree of bending that the system can withstand. A larger curvature radius means that the system bends more gently. Although the total length and the curvature radius are not directly mathematically related, larger systems usually have larger curvature radii because they need to maintain sufficient structural stability when bending to avoid damage; the outer diameter refers to the maximum diameter of the cross-section of the flexible system, which is usually applicable to tubular or similar structures. The relationship between the total length and the outer diameter is usually reflected in the usage scenario of the system. A larger outer diameter may increase the rigidity of the system and reduce its bending flexibility, thereby affecting the overall length and bending characteristics of the system.

[0048] Based on the acquired data set of flexible interconnection system size conditions, a finite element mesh division scheme for the flexible interconnection system is obtained, and each flexible interconnection system region is determined. The specific analysis process is as follows: the total length of the flexible interconnection system, the average unit pitch length of the flexible interconnection system, the maximum radius of curvature of the flexible interconnection system, the total width of the flexible interconnection system, and the outer diameter of the flexible interconnection system are stored as specified labels, and the specified label is compared with the finite element mesh division scheme of the flexible interconnection system corresponding to each specified label stored in the database to obtain the finite element mesh division scheme of the flexible interconnection system corresponding to the specified label; based on the finite element mesh division scheme of the flexible interconnection system corresponding to the specified label, the flexible interconnection system is finite element meshed, and each mesh region after the finite element mesh division of the flexible interconnection system is marked as each flexible interconnection system region.

[0049] The key dimension data of the system is stored as a specified label, which can be compared with the optimized mesh division scheme in the database, so as to ensure that the adopted mesh division scheme is highly matched with the geometric dimensions and characteristics of the system, reduce human intervention and trial and error process, and improve the accuracy of mesh division; compare the dimensional conditions of the flexible interconnection system with the existing mesh division scheme to ensure that the mesh division scheme is suitable for the geometric characteristics of the system; for example, in stress concentration areas or areas with large curvature, finer mesh division may be required, while coarser mesh can be used in other relatively flat areas, which can ensure the rationality of mesh division and thus improve the accuracy of simulation analysis; automatically compare the existing mesh division schemes in the database, and select the mesh division strategy with the best resource utilization, avoid the computational burden brought by over-fine mesh division, and ensure that there is sufficient resolution in key areas for detailed analysis, which can both improve simulation accuracy and reduce computational costs.

[0050] Based on each flexible interconnection system area, the material parameters of each flexible interconnection system area are analyzed to determine the environmental conditions applied for simulation analysis of each flexible interconnection system area. Figure 2 As shown, the specific analysis process is: obtaining material parameter data sets of each flexible interconnection system area, and obtaining material characteristic values ​​of each flexible interconnection system based on the obtained material parameter data sets of each flexible interconnection system area through comprehensive analysis, and using the material characteristic values ​​of each flexible interconnection system as the analysis basis for determining the applied environmental conditions for simulation analysis of each flexible interconnection system area; storing the material characteristic values ​​of the flexible interconnection system as designated tags, and comparing the designated tags with the applied environmental conditions for simulation analysis corresponding to the designated tags stored in the database to obtain the applied environmental conditions for simulation analysis corresponding to the designated tags, and using the applied environmental conditions for simulation analysis corresponding to the designated tags as the applied environmental conditions for simulation analysis of the flexible interconnection system area corresponding to the material characteristic values ​​of the flexible interconnection system.

[0051] The material characteristic values ​​of each flexible interconnection system area are different. By using these characteristic values ​​as input basis, more accurate environmental conditions can be applied to different areas. Different areas of the flexible interconnection system may be composed of different materials or have different physical properties (such as elastic modulus, yield strength, etc.). By obtaining the material characteristic values ​​of each area, corresponding environmental conditions can be applied, so as to perform personalized simulation analysis for each area; the material characteristic values ​​are stored as specified tags and compared with the existing tags in the database, so that suitable simulation environmental conditions can be quickly determined, avoiding the tedious process of manual setting and repeated debugging. The automated comparison method not only improves work efficiency, but also ensures the rationality of the applied environmental conditions, and better predicts the adaptability of the flexible interconnection system in complex working conditions, thereby improving the robustness of the design.

[0052] The material parameter data set of each flexible interconnection system region specifically includes the elastic modulus of the material of each flexible interconnection system region, the Poisson's ratio of the material of each flexible interconnection system region, and the density of the material of each flexible interconnection system region.

[0053] The elastic modulus of a material is the stiffness of a material under tensile or compressive load, that is, the ratio of stress to strain, which is obtained based on a dynamic mechanical analyzer. The Poisson's ratio of a material is the ratio of lateral deformation to longitudinal deformation of a material when it is subjected to stress, which is obtained based on a universal material testing machine. The density of a material is the ratio of the mass to volume of a material, indicating its degree of compactness, which is obtained based on X-ray or ultrasonic methods.

[0054] Materials with a high elastic modulus generally exhibit strong tensile rigidity, which may cause the material to deform less laterally when stretched, resulting in a lower Poisson's ratio (for example, rigid materials such as steel have a low Poisson's ratio). Conversely, flexible materials with a low elastic modulus (such as rubber) generally have a higher Poisson's ratio because there is significant lateral deformation when stretched longitudinally. Higher-density materials (such as metals) tend to have a higher elastic modulus because their molecular structure is tighter and can resist deformation more effectively. Low-density materials (such as polymers or foams) generally have a lower elastic modulus, which means that they are more easily deformed when stressed. High-density materials generally have a more regular and compact internal structure, which gives them a lower Poisson's ratio, that is, when stressed, the lateral deformation is smaller (such as materials such as steel and metal), while low-density materials (such as foams or porous materials) generally have a larger lateral deformation when stretched due to their looser internal structure, and therefore have a higher Poisson's ratio.

[0055] The material characteristic values ​​of each flexible interconnection system are obtained by the following formula:

[0056] ;

[0057] In the formula, is the material characteristic value of the i-th flexible interconnection system, is the elastic modulus of the material in the i-th flexible interconnection system area, is the material Poisson’s ratio of the i-th flexible interconnection system region, is the material density of the i-th flexible interconnection system area, For setting The compensation factor, For setting The compensation factor, For setting where i is the number of the flexible interconnection system area, i=1, 2, 3, ..., n, and n is the total number of flexible interconnection system areas.

[0058] In this embodiment, when calculating each formula, each parameter can be normalized as needed. The elastic modulus of the material reflects its stiffness, the Poisson's ratio reflects the deformation characteristics of the material in different directions, and the density determines the weight and dynamic response of the material. By combining these parameters, the overall mechanical properties of the material can be accurately reflected, and more accurate material characteristic values ​​can be obtained. The elastic modulus and Poisson's ratio of the material directly affect the stress distribution and deformation of the system when it is subjected to force, and the density affects the inertial force and dynamic load response of the system. The material characteristic value, as the core input of the simulation analysis, can help improve the accuracy of finite element analysis and dynamic simulation.

[0059] Figure 3 , Figure 4It is an image of the material characteristic value of each flexible interconnection system as the material density of each flexible interconnection system region changes, where the x-axis represents the material density of each flexible interconnection system region, and the y-axis represents the material characteristic value of each flexible interconnection system. It can help to intuitively understand how the material density of each flexible interconnection system region affects the material characteristic value of each flexible interconnection system. The larger the material density of each flexible interconnection system region, the smaller the material characteristic value of each flexible interconnection system. As the material density of each flexible interconnection system region increases, the influence of the material density of each flexible interconnection system region on the material characteristic value of each flexible interconnection system gradually weakens. Set i=1, the elastic modulus of the material in the i-th flexible interconnection system region is 0.1, the Poisson's ratio of the material in the i-th flexible interconnection system region is 0.5, the compensation factor of the elastic modulus of the material in the i-th flexible interconnection system region is set to 10, the compensation factor of the Poisson's ratio of the material in the i-th flexible interconnection system region is set to 2, and the compensation factor of the material density in the i-th flexible interconnection system region is set to 0.01, which remains unchanged. Only the size of the material density of each flexible interconnection system region is changed. The example values ​​of the material density of each flexible interconnection system region are as follows:

[0060] Table 1: Example values ​​of material density in each flexible interconnection system region in each flexible interconnection system material characteristic value

[0061]

[0062] Set , , The compensation factor is obtained from the database, and the elastic modulus of the material in the i-th flexible interconnection system area, the Poisson's ratio of the material in the i-th flexible interconnection system area, the density of the material in the i-th flexible interconnection system area and , , The mapping set of compensation factors is obtained , , The corresponding compensation factor. , , , , , It is also obtained through a mapping set of historical data and compensation factors established in the database, that is, the corresponding compensation factor is obtained according to the current data.

[0063] Based on the simulation analysis of each flexible interconnection system area and the environmental conditions imposed, the strength of the mechanical connectors in each flexible interconnection system area is analyzed to obtain the strength characteristic values ​​of each flexible interconnection system area. The specific analysis process is: obtain the strength data set of the mechanical connectors in each flexible interconnection system area, which specifically includes the absolute value of the difference between the tensile strength of each flexible interconnection system area and the reference tensile strength, the absolute value of the difference between the yield strength of each flexible interconnection system area and the reference yield strength, and the absolute value of the difference between the compressive strength of each flexible interconnection system area and the reference compressive strength; based on the obtained strength data set of the mechanical connectors in each flexible interconnection system area, a comprehensive analysis is performed to obtain the strength characteristic values ​​of each flexible interconnection system area, and the strength characteristic values ​​of each flexible interconnection system area are used as the analysis basis for determining the qualified level of the flexible interconnection system.

[0064] Tensile strength refers to the maximum stress that a material can withstand during the stretching process, that is, the maximum tensile force that the material can withstand before breaking. The reference tensile strength is a preset standard value or reference value, which is usually a design requirement or industry standard. The tensile strength is obtained based on a universal material testing machine; the yield strength is the maximum stress that a material can withstand before plastic deformation occurs, that is, the stress when the material begins to produce permanent deformation. The reference yield strength is the yield strength value specified in the design or standard, and the yield strength is obtained based on a tensile testing machine; the compressive strength refers to the maximum stress that a material can withstand under compression, and is usually used to describe the bearing capacity of a material under compressive loads. The reference compressive strength is the compressive strength value specified in the design or standard, and the compressive strength is obtained based on a compression testing machine.

[0065] The yield strength is the stress at which a material begins to undergo plastic deformation, while the tensile strength is the maximum stress that a material can withstand before breaking. The tensile strength is usually higher than the yield strength. Under tensile and compressive loads, materials behave differently. For some materials (such as metals or composites), the tensile strength and compressive strength may be close; but for some brittle materials (such as concrete or ceramics), the compressive strength is usually much higher than the tensile strength. Materials usually exhibit higher strength under compression, but the appearance of the yield point means that the material will undergo irreversible deformation when the load increases to a certain extent. If the yield strength difference is large, it may indicate that the material will enter the plastic deformation stage earlier under compression or tension load, affecting its compressive performance.

[0066] Calculating the difference between the tensile strength, yield strength and compressive strength of each flexible interconnection system area and the reference strength can accurately reflect the difference between the actual material and the design standard or reference value. The strength difference of each area can reveal the area with insufficient or excessive strength in the flexible interconnection system. The low-strength area can be strengthened, or the material use can be optimized in the area with excessively high strength to avoid unnecessary over-design, thereby improving the overall performance and cost-effectiveness of the system; analyzing the difference between the tensile strength, yield strength and compressive strength and the reference value can detect possible insufficient strength areas in advance and take corresponding improvement measures to avoid system failure or damage caused by insufficient strength in actual use; different flexible interconnection system areas may be subjected to different loads or working conditions. By analyzing the strength data of each area, it can help designers understand the performance of each area under different working conditions and improve the assessment accuracy of the qualified grade.

[0067] The regional strength characteristic value of each flexible interconnection system is obtained by the following formula:

[0068] ;

[0069] In the formula, is the regional strength characteristic value of the i-th flexible interconnection system, is the absolute value of the difference between the tensile strength of the i-th flexible interconnection system region and the reference tensile strength, is the absolute value of the difference between the yield strength of the i-th flexible interconnection system region and the reference yield strength, is the absolute value of the difference between the compressive strength of the i-th flexible interconnection system area and the reference compressive strength, For setting The compensation factor, For setting The compensation factor, For setting compensation factor.

[0070] The absolute value of the difference between the calculated strength and the reference value can accurately quantify the deviation between the actual strength of each area and the design standard. Compared with directly using the strength value, the absolute value of the difference can more intuitively reflect whether the system performance meets the expected standard. The strength characteristic value directly shows whether the performance of the material meets the design requirements, which can help quickly discover areas with potential risks in the system. By analyzing the difference in tensile strength, yield strength and compressive strength, it can be ensured that the system can withstand the corresponding loads under various working conditions to avoid structural failure. Each area in the system can be accurately evaluated to ensure that the strength of the overall system is sufficiently reliable.

[0071] Based on the simulation analysis of each flexible interconnection system area and the environmental conditions, the structural vibration state of each flexible interconnection system area is analyzed to obtain the characteristic value of the vibration state of each flexible interconnection system area. The specific analysis process is: obtain the structural vibration state data set of each flexible interconnection system area, which specifically includes the absolute value of the difference between the natural frequency of each flexible interconnection system area and the reference natural frequency, the amplitude of each flexible interconnection system area, and the damping ratio of each flexible interconnection system area; based on the obtained structural vibration state data set of each flexible interconnection system area, a comprehensive analysis is performed to obtain the characteristic value of the vibration state of each flexible interconnection system area, and the characteristic value of the vibration state of each flexible interconnection system area is used as the analysis basis for determining the qualified level of the flexible interconnection system.

[0072] The absolute value of the difference between the natural frequency of each flexible interconnection system area and the reference natural frequency is the difference between the actual natural frequency and the reference natural frequency, which reflects whether the vibration characteristics of the system meet the design requirements; the natural frequency refers to the frequency when the system vibrates freely without external drive, which reflects the natural vibration characteristics of the system, and the actual natural frequency is obtained based on the laser Doppler vibrometer; the amplitude of each flexible interconnection system area is the maximum displacement during the vibration process, which indicates the intensity of the vibration, and the amplitude is obtained based on the laser Doppler vibrometer; the damping ratio of each flexible interconnection system area is a parameter to measure the attenuation rate of the vibration energy of the system. The larger the damping ratio, the faster the vibration energy decays, and the faster the vibration stops. The smaller the damping ratio, the longer the vibration will last, which indicates the vibration energy attenuation rate and measures the vibration dissipation ability of the system, which is obtained based on the exciter and accelerometer.

[0073] The damping ratio affects the amplitude and the speed of vibration decay. A higher damping ratio can suppress the amplitude and accelerate vibration decay, especially when the system is close to resonance. The amplitude is directly related to the damping ratio. The larger the damping ratio, the smaller the amplitude.

[0074] By analyzing the absolute value, amplitude and damping ratio of the natural frequency difference, the vibration behavior of the flexible interconnection system under different conditions can be accurately evaluated. In particular, the natural frequency difference can reflect the difference between the system and the design standard, ensuring that the system will not have resonance problems, thereby ensuring the stability of its dynamic performance. The analysis of the amplitude can determine the deformation range of the system under dynamic loads to avoid excessive vibration amplitude affecting the integrity of the structure. Excessive amplitude can cause fatigue failure or early damage to the system. Through the comprehensive analysis of the amplitude data, the stability of the system can be ensured and its service life can be extended. The damping ratio reflects the energy dissipation capacity of the system, that is, the speed of vibration attenuation. Through the comprehensive analysis of the damping ratio, the vibration resistance of the system can be optimized, the duration of vibration can be reduced, the vibration resistance of the system can be improved, and fatigue damage caused by long-term vibration can be prevented. The introduction of the vibration state characteristic value can quantify the dynamic performance of the flexible interconnection system, help designers to classify the system according to specific vibration characteristic data, and ensure that the system meets the established design standards or industry specifications. By comparing the natural frequency difference, amplitude and damping ratio, it can be clearly judged whether the system meets the qualification requirements.

[0075] The vibration state characteristic value of each flexible interconnection system area is obtained by the following formula:

[0076] ;

[0077] In the formula, is the regional vibration state eigenvalue of the i-th flexible interconnection system, is the absolute value of the difference between the natural frequency of the i-th flexible interconnection system area and the reference natural frequency, is the regional amplitude of the i-th flexible interconnection system, is the regional damping ratio of the i-th flexible interconnection system, For setting The compensation factor, For setting The compensation factor, For setting The compensation factor of , e is a natural constant.

[0078] The absolute value of the difference between the natural frequency and the reference frequency can help predict whether the system is close to the resonance state. If the difference is too small, the system may be in a dangerous resonance range, resulting in an increase in amplitude, which may cause structural damage. The calculation of the vibration state eigenvalue combines the natural frequency, amplitude and damping ratio, which can help designers adjust the dynamic performance of the system more accurately so that it can maintain a smooth dynamic response under actual working conditions. If the amplitude of the system is too large or the vibration frequency is close to the resonance frequency, long-term vibration may cause fatigue damage or material failure. By calculating the vibration state eigenvalue, it can help designers identify high-risk areas, optimize the design in advance, and prevent fatigue failure of the system during vibration. Combined with the analysis of amplitude, damping ratio and natural frequency, it can ensure that the system can maintain stable vibration performance under different working conditions and improve simulation efficiency.

[0079] Combined with the regional strength characteristic values ​​of each flexible interconnection system and the regional vibration state characteristic values ​​of each flexible interconnection system, the qualified level of the flexible interconnection system is determined. The specific analysis process is as follows: the regional strength characteristic values ​​of each flexible interconnection system and the regional vibration state characteristic values ​​of each flexible interconnection system are imported into the flexible interconnection system grade analysis model to obtain the flexible interconnection system grade analysis characteristic values, which are used as the analysis basis for determining the qualified level of the flexible interconnection system; the flexible interconnection system grade analysis characteristic values ​​are stored as designated tags, and the designated tags are compared with the qualified levels of the flexible interconnection systems corresponding to the designated tags stored in the database to obtain the qualified level of the flexible interconnection system corresponding to the designated tags.

[0080] Combining the strength eigenvalue and the vibration state eigenvalue can comprehensively evaluate the mechanical properties and dynamic behavior of the flexible interconnection system. The strength eigenvalue reflects the load-bearing capacity of the system under different loads, while the vibration state eigenvalue reveals the dynamic response and stability of the system. The combination of the two can more comprehensively reflect the overall performance of the system, making the grade evaluation more accurate. In some cases, increasing the strength may reduce the dynamic performance of the system. Through comprehensive analysis, the best balance between strength and vibration performance can be found to ensure that the system has both sufficient load-bearing capacity and good dynamic stability. The grade analysis eigenvalue obtained by the analysis model is based on specific data results, which is more objective than relying solely on experience or a single performance indicator, and avoids human judgment errors. Taking into account the strength and vibration characteristics, the reliability and safety of the system can be more comprehensively evaluated. Even if the strength of a certain area is higher, if its vibration performance is poor, it may lead to potential failure risks. The overall safety of the system can be improved through the grade analysis eigenvalue.

[0081] The specific formula of the above flexible interconnection system level analysis model is:

[0082] ;

[0083] In the formula, Analyze eigenvalues ​​for the flexible interconnection system level.

[0084] Combining the strength eigenvalue and the vibration state eigenvalue for calculation can fully reflect the overall mechanical properties and dynamic behavior of the system. The strength eigenvalue provides the carrying capacity of the system under different loads, while the vibration state eigenvalue reflects the stability and vibration resistance of the system under dynamic conditions. It can comprehensively measure the performance of the system and avoid the limitations brought by single-dimensional analysis.

[0085] By comprehensively analyzing the strength and vibration state characteristic values, designers can identify areas in the system that need to be optimized. Some areas may perform well in terms of strength but have poor vibration performance. Comprehensive analysis can help designers adjust the design in a targeted manner and optimize materials or structures to improve overall performance. Combining strength and vibration characteristics for analysis can better evaluate the fatigue performance of the system under long-term vibration or repeated loads. The grade analysis characteristic value can automatically evaluate the qualification level of the system by comprehensively analyzing the strength and vibration state characteristics. Using this characteristic value as the basis for evaluation, the qualification level of the system can be quickly determined, reducing the errors and subjectivity of human evaluation.

Claims

1. A finite element simulation analysis method for a flexible interconnection system, characterized in that: The following steps are involved: Acquire a data set of dimension conditions of the flexible interconnection system, obtain a finite element mesh division scheme of the flexible interconnection system based on the acquired data set of dimension conditions of the flexible interconnection system, and determine each flexible interconnection system region; Based on each flexible interconnection system area, the material parameters of each flexible interconnection system area are analyzed to determine the environmental conditions to be applied for simulation analysis of each flexible interconnection system area; Based on the simulation analysis of each flexible interconnection system area, the environmental conditions are applied, the strength of the mechanical connectors in each flexible interconnection system area is analyzed, and the strength characteristic value of each flexible interconnection system area is obtained; Based on the simulation analysis of each flexible interconnection system area, the environmental conditions are applied, the structural vibration state of each flexible interconnection system area is analyzed, and the characteristic value of the vibration state of each flexible interconnection system area is obtained; The qualified grade of the flexible interconnection system is determined by combining the regional strength characteristic values ​​of each flexible interconnection system and the regional vibration state characteristic values ​​of each flexible interconnection system.

2. The finite element simulation analysis method for the flexible interconnection system according to claim 1, characterized in that: The flexible interconnection system size condition data set includes the total length of the flexible interconnection system, the average unit pitch length of the flexible interconnection system, the maximum curvature radius of the flexible interconnection system, the total width of the flexible interconnection system, and the outer diameter of the flexible interconnection system.

3. The finite element simulation analysis method for the flexible interconnection system according to claim 2, characterized in that: Based on the obtained flexible interconnection system size condition data set, a finite element meshing scheme for the flexible interconnection system is obtained, and each flexible interconnection system area is determined. The process is as follows: The total length of the flexible interconnection system, the average unit pitch length of the flexible interconnection system, the maximum radius of curvature of the flexible interconnection system, the total width of the flexible interconnection system, and the outer diameter of the flexible interconnection system are stored as designated labels, and the designated labels are compared with the finite element mesh division schemes of the flexible interconnection system corresponding to the designated labels stored in the database to obtain the finite element mesh division scheme of the flexible interconnection system corresponding to the designated labels; Based on the finite element mesh division scheme of the flexible interconnection system corresponding to the designated label, the finite element mesh division is performed on the flexible interconnection system, and each mesh area after the finite element mesh division of the flexible interconnection system is marked as each flexible interconnection system area.

4. The finite element simulation analysis method for the flexible interconnection system according to claim 1, characterized in that: The process of analyzing the material parameters of each flexible interconnection system area and determining the environmental conditions to be applied for simulation analysis of each flexible interconnection system area is as follows: Obtain material parameter data sets of each flexible interconnection system region, and obtain material characteristic values ​​of each flexible interconnection system through comprehensive analysis based on the obtained material parameter data sets of each flexible interconnection system region, and use the material characteristic values ​​of each flexible interconnection system as an analysis basis for determining the environmental conditions applied for simulation analysis of each flexible interconnection system region; The material characteristic value of the flexible interconnection system is stored as a designated label, and the designated label is compared with the simulation analysis applied environmental conditions corresponding to each designated label stored in the database to obtain the simulation analysis applied environmental conditions corresponding to the designated label, and the simulation analysis applied environmental conditions corresponding to the designated label are used as the flexible interconnection system area simulation analysis applied environmental conditions corresponding to the material characteristic value of the flexible interconnection system.

5. The finite element simulation analysis method for the flexible interconnection system according to claim 4, characterized in that: The material parameter data sets of each flexible interconnection system region include elastic modulus of materials in each flexible interconnection system region, Poisson's ratio of materials in each flexible interconnection system region, and density of materials in each flexible interconnection system region.

6. The finite element simulation analysis method for the flexible interconnection system according to claim 1, characterized in that: The strength of the mechanical connectors in each flexible interconnection system region is analyzed to obtain the strength characteristic value of each flexible interconnection system region. The process is: Acquire a strength data set of mechanical connectors in each flexible interconnection system region, wherein the strength data set of mechanical connectors in each flexible interconnection system region includes an absolute value of a difference between a tensile strength in each flexible interconnection system region and a reference tensile strength, an absolute value of a difference between a yield strength in each flexible interconnection system region and a reference yield strength, and an absolute value of a difference between a compressive strength in each flexible interconnection system region and a reference compressive strength; Based on the acquired strength data set of mechanical connectors in each flexible interconnection system area, the strength characteristic values ​​of each flexible interconnection system area are obtained through comprehensive analysis. The strength characteristic values ​​of each flexible interconnection system area are used as the analysis basis for determining the qualified level of the flexible interconnection system.

7. The finite element simulation analysis method for the flexible interconnection system according to claim 6, characterized in that: The regional strength characteristic value of each flexible interconnection system is obtained by the formula: ； In the formula, is the regional strength characteristic value of the i-th flexible interconnection system, is the absolute value of the difference between the tensile strength of the i-th flexible interconnection system region and the reference tensile strength, is the absolute value of the difference between the yield strength of the i-th flexible interconnection system region and the reference yield strength, is the absolute value of the difference between the compressive strength of the i-th flexible interconnection system area and the reference compressive strength, For setting The compensation factor, For setting The compensation factor, For setting where i is the number of the flexible interconnection system area.

8. The finite element simulation analysis method for a flexible interconnection system according to claim 1, characterized in that: The vibration state of each flexible interconnection system region structure is analyzed to obtain the characteristic value of the vibration state of each flexible interconnection system region. The process is: Acquire a data set of structural vibration states of each flexible interconnection system region, wherein the data set of structural vibration states of each flexible interconnection system region includes an absolute value of a difference between a natural frequency of each flexible interconnection system region and a reference natural frequency, an amplitude of each flexible interconnection system region, and a damping ratio of each flexible interconnection system region; Based on the acquired data sets of regional structural vibration states of each flexible interconnection system, the regional vibration state characteristic values ​​of each flexible interconnection system are obtained through comprehensive analysis. The regional vibration state characteristic values ​​of each flexible interconnection system are used as the analysis basis for determining the qualified level of the flexible interconnection system.

9. The finite element simulation analysis method for the flexible interconnection system according to claim 8, characterized in that: The vibration state characteristic value of each flexible interconnection system area is obtained by the formula: ； In the formula, is the regional vibration state eigenvalue of the i-th flexible interconnection system, is the absolute value of the difference between the natural frequency of the i-th flexible interconnection system area and the reference natural frequency, is the regional amplitude of the i-th flexible interconnection system, is the regional damping ratio of the i-th flexible interconnection system, For setting The compensation factor, For setting The compensation factor, For setting is the compensation factor of the flexible interconnection system, i is the number of the flexible interconnection system area, and e is a natural constant.

10. The finite element simulation analysis method for a flexible interconnection system according to claim 1, characterized in that: The process of determining the qualification level of the flexible interconnection system is as follows: Import the regional strength characteristic values ​​of each flexible interconnection system and the regional vibration state characteristic values ​​of each flexible interconnection system into the flexible interconnection system grade analysis model to obtain the flexible interconnection system grade analysis characteristic values, which are used as the analysis basis for determining the qualified grade of the flexible interconnection system; The flexible interconnection system grade analysis characteristic value is stored as a designated label, and the designated label is compared with the flexible interconnection system qualification level corresponding to each designated label stored in the database to obtain the flexible interconnection system qualification level corresponding to the designated label.

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