Particle damper model construction method and device, electronic equipment and storage medium

Abstract

The invention provides a particle damper model construction method and device, electronic equipment and a storage medium. The method comprises the steps that the equivalent elastic modulus of a coating sphere model is predicted; constructing a joint simulation model between the coating spherical particle damper model and the controlled structure model based on the equivalent elastic modulus; performing vibration simulation through the joint simulation model to obtain a vibration reduction analysis result of the coating spherical particle damper model on the controlled structure model; and determining an optimized coating spherical particle damper model based on a vibration reduction analysis result. According to the particle damper model construction method provided by the invention, the joint simulation model between the coating spherical particle damper and the controlled structure is constructed based on the equivalent elastic modulus, and the vibration reduction analysis result of the coating spherical particle damper model on the controlled structure model is obtained through vibration simulation, so that the design of the particle damper is optimized, and the reliability of the particle damper is improved. The dynamic performance and the vibration control effect of the controlled structure are obviously improved, and the stability and the reliability of the system are ensured.

Description

Technical Field

[0001] The present invention relates to the technical field of engineering vibration control, and in particular to a particle damper model construction method, device, electronic equipment and storage medium. Background Art

[0002] At present, passive vibration control technology has an irreplaceable dominant position in the field of vibration control. Among them, particle damping has been valued in engineering practice for its excellent vibration reduction effect and advantages such as simple structure, low cost, easy implementation, and suitability for use in harsh environments, and has achieved good application results. Particle damping is a new technology for passive vibration control. It mainly puts metal particles or non-metallic particles in the cavity or additional cavity of the vibrating structure according to a certain filling rate. When the mechanical structure is vibrated by external excitation, friction and impact will occur between the particles and between the particles and the cavity wall. At the same time, momentum exchange and friction heat are continuously carried out, thereby consuming the vibration energy of the mechanical structure, thereby achieving the purpose of vibration reduction.

[0003] In particle damping technology, the collision and friction between particles and between particles and the hole wall make the particle damper highly nonlinear. In order to improve the damping effect of particle dampers, while studying particle damping technology, the characteristics of viscoelastic materials are combined. Since viscoelastic materials have a large material loss factor, they can increase energy loss, thus proposing particle dampers with elastic coatings. However, the existing technology lacks research on the vibration reduction effect of particle dampers with elastic coatings. Summary of the invention

[0004] The present invention provides a particle damper model construction method, device, electronic equipment and storage medium, which are used to solve the problem that there is a lack of research on the vibration reduction effect of particle dampers with elastic coatings in the prior art.

[0005] In a first aspect, the present invention provides a method for constructing a particle damper model, comprising: Predict the equivalent elastic modulus of the coated sphere model; Based on the equivalent elastic modulus, a joint simulation model between a coated spherical particle damper model and a controlled structure model is constructed; Performing vibration simulation through the joint simulation model to obtain vibration reduction analysis results of the coated sphere particle damper model on the controlled structure model; Based on the vibration reduction analysis results, an optimized coated sphere particle damper model is determined.

[0006] In one embodiment, the predicting the equivalent elastic modulus of the coated sphere model comprises: constructing particle substrates and coatings; Based on the particle matrix and the coating, construct a coating sphere model; Performing effectiveness evaluation on the coated sphere model to obtain effectiveness evaluation results; If the effectiveness evaluation result is consistent with the expected effect, the equivalent elastic modulus of the coated sphere model is predicted.

[0007] In one embodiment, the effectiveness evaluation of the coated sphere model to obtain the effectiveness evaluation result includes: Screening out a first representative volume element from the particle matrix and screening out a second representative volume element from the coating; Determining material property evaluation results of the first representative volume element and the second representative volume element based on a first material property parameter of the first representative volume element and a second material property parameter of the second representative volume element; Applying the same external force to the particle matrix and the coating to obtain deformation results of the first representative volume element and the second representative volume element under the same external force condition; The material property evaluation result and the deformation result are determined as the validity evaluation result of the coated sphere model.

[0008] In one embodiment, predicting the equivalent elastic modulus of the coated sphere model comprises: The first material property parameter and the second material property parameter are input into an equivalent elastic modulus prediction model to obtain an equivalent elastic modulus of the coated sphere model output by the equivalent elastic modulus.

[0009] In one embodiment, the construction of a joint simulation model between a coated sphere particle damper model and a controlled structure model based on the equivalent elastic modulus includes: Determining particle contact parameters of the coated sphere model according to the equivalent elastic modulus; Determining particle geometric parameters of the coated sphere model; According to the particle contact parameters and the particle geometric parameters, a plurality of the coated sphere models are expanded into a coated sphere particle damper model; The simulation model of the coated spherical particle damper model and the simulation model of the controlled structure model are coupled to construct a joint simulation model between the coated spherical particle damper model and the controlled structure model.

[0010] In one embodiment, the performing vibration simulation through the joint simulation model to obtain the vibration reduction analysis result of the coated sphere particle damper model on the controlled structure model includes: Performing vibration simulation through the joint simulation model to obtain a dynamic simulation result output by the joint simulation model; Based on the dynamic simulation results, determining a damped free vibration curve of the controlled structural model; Calculating the modal damping of the controlled structural model based on the damped free vibration curve; Based on the modal damping, a vibration reduction analysis result of the coated sphere particle damper model on the controlled structure model is determined.

[0011] In one embodiment, determining an optimized coated sphere particle damper model based on the vibration reduction analysis result includes: Updating particle geometric parameters of the coated sphere model; Iteratively executing the step of expanding the plurality of coated sphere models into a coated sphere particle damper model according to the particle contact parameters and the particle geometric parameters until a preset end condition is reached; Based on the vibration reduction analysis results under different particle geometric parameter conditions, the target particle geometric parameters are determined according to the preset optimization requirements; According to the target particle contact parameters, an optimized coated spherical particle damper model is determined.

[0012] In a second aspect, the present invention further provides a particle damper model construction device, comprising: A prediction module is used to predict the equivalent elastic modulus of the coated sphere model; A construction module is used to construct a joint simulation model between a coated sphere particle damper model and a controlled structure model based on the equivalent elastic modulus; A vibration reduction analysis module, used for performing vibration simulation through the joint simulation model to obtain a vibration reduction analysis result of the coated sphere particle damper model on the controlled structure model; A determination module is used to determine an optimized coated sphere particle damper model based on the vibration reduction analysis results.

[0013] In a third aspect, the present invention provides an electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the program, the steps of any of the above-mentioned particle damper model construction methods are implemented.

[0014] In a fourth aspect, the present invention further provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of any of the particle damper model construction methods described above.

[0015] The particle damper model construction method, device, electronic device and storage medium provided by the present invention accurately predict the equivalent elastic modulus of the coated sphere, realize efficient simulation of the particle matrix and the coating as equivalent uniform materials, and are beneficial to improving the accuracy and efficiency of the design of the coated sphere particle damper model. Based on the equivalent elastic modulus, a joint simulation model between the coated sphere particle damper and the controlled structure is effectively constructed, which can accurately simulate the dynamic force transmission between the particle system and the controlled structure. The vibration reduction analysis results of the coated sphere particle damper model on the controlled structure model are obtained through vibration simulation, thereby optimizing the particle damper design, significantly improving the dynamic performance and vibration control effect of the controlled structure, and ensuring the stability and reliability of the system. BRIEF DESCRIPTION OF THE DRAWINGS

[0016] In order to more clearly illustrate the technical solutions in the present invention or the prior art, the following briefly introduces the drawings required for use in the embodiments or the description of the prior art. Obviously, the drawings described below are some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.

[0017] Figure 1 It is a flow chart of the particle damper model construction method provided by the present invention.

[0018] Figure 2 It is a structural schematic diagram of the particle damper model building device provided by the present invention.

[0019] Figure 3 It is a structural schematic diagram of the electronic device provided by the present invention. DETAILED DESCRIPTION

[0020] In order to make the purpose, technical solution and advantages of the present invention clearer, the technical solution of the present invention will be clearly and completely described below in conjunction with the drawings of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0021] The terms "first", "second", etc. in the present invention are used to distinguish similar objects, rather than to describe a specific order or sequence. It should be understood that the numbers used in this way can be interchanged where appropriate, so that the embodiments of the present invention can be implemented in an order other than those illustrated or described herein.

[0022] Combine the following Figure 1-Figure 3 The particle damper model construction method, device, electronic device and storage medium provided by the present invention are described.

[0023] It should be noted that the particle damper model construction method provided in the embodiment of the present invention is implemented based on the particle damper model construction device. The particle damper model construction method of the embodiment of the present invention expands the particle damper model into a particle damper of coated sphere equivalent particles, and can study the shock absorption effect of the particle damper of the elastic coating, providing an effective basis for the optimization of the particle damper structure parameters. Firstly, finite element analysis and machine learning technology are combined to simulate the coated sphere using a finite element model. The particle matrix is ​​divided into tetrahedral units, and the coating is divided into membrane units. The solid unit and membrane unit theories are integrated, and the particle matrix and coating of different materials are regarded as equivalent uniform materials by applying periodic boundary conditions. The equivalent elastic modulus of the coated sphere is predicted; then, based on the discrete element theory, a coated sphere particle damper model is constructed, and combined with the dynamic model of the controlled structure, a joint simulation model between the coated sphere particle damper model and the controlled structure model is constructed through the joint simulation coupling interface; finally, with swept frequency excitation as the influencing factor, the influence of different damper structural parameters on the vibration reduction of the controlled structure model is simulated, providing a basis for the optimization of the particle damper structural parameters.

[0024] Therefore, the embodiment of the present invention takes the particle damper model building device in the particle damper model building device as an execution subject as an example to describe the particle damper model building method.

[0025] Combination Figure 1 , Figure 1 It is a flow chart of the particle damper model construction method provided by the present invention.

[0026] like Figure 1 As shown, the method includes the following: Step 101, predicting the equivalent elastic modulus of the coating sphere model; Step 102: constructing a joint simulation model between a coated spherical particle damper model and a controlled structure model based on the equivalent elastic modulus; Step 103, performing vibration simulation through the joint simulation model to obtain a vibration reduction analysis result of the coated spherical particle damper model on the controlled structure model; Step 104: Determine an optimized coated sphere particle damper model based on the vibration reduction analysis result.

[0027] Specifically, the finite element analysis method is used to simulate the particle matrix and coating, and the particle matrix and coating are constructed. Based on the particle matrix and coating, a coating sphere model is constructed. Since the particle matrix and coating are usually different materials, in order to subsequently construct the reliability of the particle damper with elastic coating, the particle matrix and coating of different materials are regarded as an equivalent uniform material, and the overall performance of the coating sphere is characterized by the performance of the homogeneous material.

[0028] Therefore, when the particle matrix and coating of different materials are regarded as an equivalent uniform material, it is necessary to predict the equivalent elastic modulus of the coated sphere model. This can be predicted through machine learning, which combines finite element analysis and machine learning technology to predict the equivalent elastic modulus of the coated sphere.

[0029] Furthermore, based on the equivalent elastic modulus of the coated sphere, the coated sphere can be simplified and regarded as a uniform sphere of the same material, so as to determine the structural parameters for constructing the coated sphere particle damper model. The discrete element model can be used to construct the particle damper model. The discrete element model is a computational simulation model that is used to simulate and analyze the physical behavior and mechanical properties of granular materials. When constructing the particle damper model, the discrete element model can very effectively simulate the interaction between particles, including collision, friction, and the mechanism of particle flow in the damper. Therefore, the coated sphere particle damper model is constructed by setting the structural parameters of the particle damper model in the discrete element model.

[0030] At the same time, it is also necessary to build a controlled structure model to achieve subsequent joint simulation. The controlled structure model can be constructed using a dynamic model, which is a computational simulation model that can simulate the response of the controlled structure when it receives external force, control input or other dynamic influences. Therefore, the structural constraints and external excitations of the controlled structure are first determined, and the controlled structure model is constructed by setting the parameters such as the structural constraints and external excitations of the controlled structure in the dynamic model.

[0031] After constructing the coated spherical particle damper model and the controlled structure model, the simulation model of the coated spherical particle damper model and the simulation model of the controlled structure model are coupled, that is, the discrete element model of the coated spherical particle damper model and the dynamic model of the controlled structure model are coupled to construct a joint simulation model between the coated spherical particle damper model and the controlled structure model, which can also be considered as a force transmission model between the particle system and the controlled structure model.

[0032] Furthermore, vibration simulation is performed through a joint simulation model between the coated spherical particle damper model and the controlled structure model until the preset simulation time is reached, and the dynamic simulation results during this period are obtained. The vibration reduction effect is further analyzed based on the dynamic simulation results to obtain the vibration reduction analysis results of the coated spherical particle damper model on the controlled structure model during this simulation time.

[0033] Furthermore, the structural parameters of the coated spherical particle damper model are updated, that is, the coated spherical particle damper model is updated, and a joint simulation is performed in the above manner, iteratively executed multiple times, and finally the vibration reduction analysis results of the coated spherical particle damper model on the controlled structural model under different structural parameters are obtained. Through these vibration reduction analysis results, the structural parameters are optimized to determine the optimized coated spherical particle damper model.

[0034] The particle damper model construction method provided by the present invention accurately predicts the equivalent elastic modulus of the coated sphere, realizes efficient simulation of the particle matrix and the coating as equivalent uniform materials, and is beneficial to improving the accuracy and efficiency of the coated sphere particle damper model design. Based on the equivalent elastic modulus, a joint simulation model between the coated sphere particle damper and the controlled structure is effectively constructed, which can accurately simulate the dynamic force transmission between the particle system and the controlled structure. The vibration reduction analysis results of the coated sphere particle damper model on the controlled structure model are obtained through vibration simulation, thereby optimizing the particle damper design, significantly improving the dynamic performance and vibration control effect of the controlled structure, and ensuring the stability and reliability of the system.

[0035] In some embodiments, based on step 101, the predicting the equivalent elastic modulus of the coated sphere model includes: constructing particle substrates and coatings; Based on the particle matrix and the coating, construct a coating sphere model; Performing effectiveness evaluation on the coated sphere model to obtain effectiveness evaluation results; If the effectiveness evaluation result is consistent with the expected effect, the equivalent elastic modulus of the coated sphere model is predicted.

[0036] Specifically, the finite element model can be used to construct the coated sphere model. The main reason for constructing the coated sphere model through the finite element model is that it can accurately simulate the complex interaction between the particle matrix and the coating, the inhomogeneity of material properties, multiple boundary conditions, and nonlinear mechanical behavior, etc., providing a basis for design optimization. In the finite element model, the finite element method is used to simulate the coated sphere model. First, the particle matrix and the coating need to be constructed. The particle matrix is ​​divided into tetrahedral units and the coating is divided into membrane units, which can accurately simulate the mechanical behavior between the particle matrix and the coating. Combining structural mechanics, contact mechanics and viscoelasticity theory, it is ensured that the model can effectively reflect the coupling between the particle matrix and the coating, and then the mechanical response of the coated sphere model under different loading conditions can be accurately predicted, providing reliable numerical support for the design of particle dampers.

[0037] After simulating the particle matrix and coating in the finite element model, the coated sphere model is constructed. This finite element model integrates the solid unit and membrane unit theory. During the simulation process, periodic boundary conditions are applied at appropriate positions. This appropriate position is determined according to the actual situation. Applying periodic boundary conditions can reflect the periodic characteristics of the particle system.

[0038] Furthermore, the effectiveness of the coated sphere model is evaluated to obtain the effectiveness evaluation results. The effectiveness evaluation results of the coated sphere model can be compared with the simulation and theoretical or experimental data to determine whether they meet the expected results. If not, it means that the coated sphere model is not accurate enough and needs to be reset and reconstructed. If it is consistent, it means that the coated sphere model is accurate enough and can be further predicted by the equivalent elastic modulus of the coated sphere model to regard the particle matrix and coating of different materials as an equivalent uniform material, and characterize the overall performance of the coated sphere model by the performance of the homogeneous material.

[0039] The embodiment of the present invention constructs a coating sphere model of a particle matrix and a coating, and performs a validity evaluation to ensure the accuracy of the coating sphere model, thereby being able to accurately predict the equivalent elastic modulus of the coating sphere model, and providing reliable numerical support for the design of a particle damper.

[0040] In some embodiments, according to the above content, the effectiveness evaluation of the coated sphere model is performed to obtain the effectiveness evaluation result, including: Screening out a first representative volume element from the particle matrix and screening out a second representative volume element from the coating; Determining material property evaluation results of the first representative volume element and the second representative volume element based on a first material property parameter of the first representative volume element and a second material property parameter of the second representative volume element; Applying the same external force to the particle matrix and the coating to obtain deformation results of the first representative volume element and the second representative volume element under the same external force condition; The material property evaluation result and the deformation result are determined as the validity evaluation result of the coated sphere model.

[0041] Specifically, a homogenization method is used to screen out a first representative volume element from the particle matrix and a second representative volume element from the coating, and these representative volume elements are used as analysis units.

[0042] Furthermore, the first material property parameter of the first representative volume element and the second material property parameter of the second representative volume element are obtained, the first material property parameter refers to the mechanical parameters such as elastic modulus, density, damping coefficient and radius of the particle matrix, and the second material property parameter refers to the mechanical parameters such as elastic modulus, density, damping coefficient and radius of the coating. Mapping these equivalent mechanical parameters to the coating sphere model can simplify the calculation and improve the analysis efficiency. Numerical simulation methods can be used to evaluate the material properties of the first material property parameter of the first representative volume element and the second material property parameter of the second representative volume element to obtain the material property evaluation results of the first representative volume element and the second representative volume element. When the material properties of the particle matrix and the coating meet the expected material property effects, it is ensured that the material property parameters can accurately reflect the actual mechanical properties.

[0043] At the same time, it is also necessary to combine the force and deformation of the particle matrix and the coating to determine the effectiveness of the coated sphere model. The performance of the coated sphere model is characterized in a specific direction. When the same external force is applied to the particle matrix and the coating in this direction, the overall deformation of the particle matrix will be combined with the coupling effect of the coating material to ensure geometric compatibility. The interaction between the particle matrix and the coating causes the two to deform together, forming a coupled mechanical response. Through periodic boundary conditions and geometric constraints, it is ensured that the deformation in this direction meets the geometric compatibility, that is, the relative displacement and strain of the particle matrix and the coating are consistent. This coupling effect is characterized by this construction model and the contact mechanics model to ensure that the overall mechanical behavior of the coated sphere truly reflects the coordinated deformation of the two. Therefore, after applying the same external force to the particle matrix and the coating in this specific direction, the deformation results of the first representative volume element and the second representative volume element under the same external force conditions can be obtained. When the deformation results of the particle matrix and the coating meet the expected deformation effect, it is ensured that the deformation effect can accurately reflect the actual mechanical properties.

[0044] In order to ensure the accuracy of the coated sphere model, it is necessary to comprehensively consider the material property evaluation results and deformation results of the particle matrix and coating, that is, to determine the material property evaluation results and deformation results as the effectiveness evaluation results of the coated sphere model. When the material property evaluation results of the particle matrix and coating are consistent with the expected material property effects, and the deformation results of the particle matrix and coating are consistent with the expected deformation effects, the coated sphere model is considered to be effective, thus ensuring the accuracy of the coated sphere model.

[0045] The embodiment of the present invention first adopts a homogenization method to screen out representative volume elements in the particle matrix and the coating, and uses these representative volume elements as analysis units, thereby reducing the complexity of the calculation. Then, a comprehensive evaluation is performed through the material properties of these representative volume elements and the deformation results under the same external force, thereby ensuring the effectiveness of the coating sphere model and the accuracy of the coating sphere model, thereby being able to accurately predict the equivalent elastic modulus of the coating sphere model, thereby providing reliable numerical support for the design of particle dampers.

[0046] In some embodiments, according to the above content, the predicting the equivalent elastic modulus of the coated sphere model includes: The first material property parameter and the second material property parameter are input into an equivalent elastic modulus prediction model to obtain an equivalent elastic modulus of the coated sphere model output by the equivalent elastic modulus.

[0047] It should be noted that when the particle matrix and coating of different materials are regarded as an equivalent uniform material, machine learning can be used to predict the equivalent elastic modulus of the coated sphere model. Based on machine learning, an efficient parameter adjustment method using grid search is adopted to predict the equivalent elastic modulus of the coated sphere model. By defining a suitable search space, grid search is used to traverse different hyperparameter combinations to find the optimal parameter configuration. The optimized model is used for prediction. In order to evaluate the prediction performance of the model, the mean absolute error (MAE) and the coefficient of determination (R²) are selected as evaluation indicators. MAE is used to measure the average difference between the predicted value and the true value, while R² is used to evaluate the degree of fit of the model to the data. The two together reflect the accuracy and predictive ability of the model.

[0048] Before training the prediction model, it is necessary to obtain training data. Perform sensitivity analysis on the key mechanical parameters in the coated sphere model (such as elastic modulus, density, damping coefficient, radius, etc. of the particle matrix and coating) to identify which parameters have the greatest impact on the model results. Based on the sensitivity analysis results, select the appropriate parameter range for numerical simulation, fit the modeling data, and establish the relationship between these mechanical parameters and the model output. Through multiple sets of numerical simulations, obtain training data under different parameter combinations to establish a more accurate prediction model.

[0049] Finite element analysis was used to simulate the mechanical behavior of the coated sphere model under different working conditions, and a series of data sets containing particle matrix and coating parameters were obtained. Based on these data, a machine learning algorithm was used to build a model. The hyperparameters of the machine learning model were optimized by grid search and other methods to improve the prediction accuracy of the model. Finally, the trained machine learning model was used to predict the equivalent elastic modulus of the coated sphere model under different working conditions.

[0050] Specifically, the first material property parameter of the first representative volume element and the second material property parameter of the second representative volume element are input into the equivalent elastic modulus prediction model to obtain the equivalent elastic modulus of the coated sphere model outputted by the equivalent elastic modulus. By applying the homogenized mechanical parameters in the finite element analysis, the mechanical response of the coated sphere model under different external excitations can be accurately simulated, the amount of calculation can be reduced and the simulation accuracy can be ensured, thereby providing a basis for the performance optimization of the particle damper.

[0051] The embodiment of the present invention accurately predicts the equivalent elastic modulus of the coated sphere model through machine learning, can simplify the coated sphere model, ignore the microstructural differences between the coating and the particle matrix, and regard the entire coated sphere as a uniform sphere of the same material. The homogenized model can maintain the overall mechanical response characteristics of the coated sphere, thereby achieving efficient simulation of the particle matrix and the coating as equivalent uniform materials, which is beneficial to improving the accuracy and efficiency of the particle damper design.

[0052] In some embodiments, based on step 102, the construction of a joint simulation model between the coated sphere particle damper model and the controlled structure model based on the equivalent elastic modulus includes: Determining particle contact parameters of the coated sphere model according to the equivalent elastic modulus; Determining particle geometric parameters of the coated sphere model; According to the particle contact parameters and the particle geometric parameters, a plurality of the coated sphere models are expanded into a coated sphere particle damper model; The simulation model of the coated spherical particle damper model and the simulation model of the controlled structure model are coupled to construct a joint simulation model between the coated spherical particle damper model and the controlled structure model.

[0053] Specifically, a coated sphere particle damper model is established in the discrete element model. First, the particle contact parameters of the coated sphere model are determined based on the equivalent elastic modulus. In the discrete element model, the particle contact parameters (including equivalent elastic modulus, friction coefficient, damping coefficient, etc.) are set to describe the interaction between particles, and the particle geometric parameters (including particle filling rate, particle material, particle diameter, etc.) are set to describe the geometric size of the particles. Select an appropriate time step and simulation time to ensure that the simulation is stable and accurately capture the dynamic response of the particles. Set the grid size of the computational domain to ensure that the grid is fine enough to accurately simulate the behavior of the particles and their contact areas. By reasonably configuring these parameters, multiple coated sphere models are expanded into coated particle damper models in the discrete element model for efficient mechanical analysis and performance optimization.

[0054] At the same time, a controlled structure model is constructed in the dynamic model, structural constraints of the controlled structure model are set to ensure that it meets the actual boundary conditions in the simulation, and external excitations (such as force, vibration or impact) are defined to simulate dynamic loading under actual working conditions.

[0055] Furthermore, the simulation model of the coated spherical particle damper model and the simulation model of the controlled structure model are coupled, the step sizes of the two computational domains (coated spherical particle damper model and controlled structure model) are unified, and the coupling interface and other parameters are set to construct a joint simulation model between the coated spherical particle damper model and the controlled structure model. In this process, it is necessary to ensure the unification of the step sizes of the two computational domains and to ensure that the two are synchronized in the time process in order to accurately transmit the mechanical response. The coupling interface parameters are set to define the interaction force transmission mechanism between the particle system and the controlled structure, such as the contact force, transmission force and damping force between the particles and the structure. By setting these parameters reasonably, a force transmission model between the particle system and the controlled structure model is constructed to realize the coupled simulation of the particle system and the controlled structure response.

[0056] The embodiment of the present invention first determines the particle contact parameters of the coated sphere model through the equivalent elastic modulus, and further sets the particle contact parameters and particle geometric parameters in the discrete element model to construct a coated sphere particle damper model, and couples it with the controlled structure model to form a joint simulation model, so as to effectively simulate and analyze the vibration reduction effect of the coated sphere particle damper on the controlled structure, providing an efficient simulation tool for particle damper design optimization and structural dynamics performance improvement.

[0057] In some embodiments, based on step 103, performing vibration simulation through the joint simulation model to obtain vibration reduction analysis results of the coated sphere particle damper model on the controlled structure model includes: Performing vibration simulation through the joint simulation model to obtain a dynamic simulation result output by the joint simulation model; Based on the dynamic simulation results, determining a damped free vibration curve of the controlled structural model; Calculating the modal damping of the controlled structural model based on the damped free vibration curve; Based on the modal damping, a vibration reduction analysis result of the coated sphere particle damper model on the controlled structure model is determined.

[0058] Specifically, vibration simulation is performed through a joint simulation model. First, the particle system and the controlled structure model are discretized, and the particle collection shape, mass, mechanical properties and contact model between particles (such as elastic contact, friction, damping force, etc.) are defined. The contact points between the particle collection and the controlled structure are calculated through numerical simulation, and the moment and position of contact between the particles and the surface of the structure are tracked. The contact force at each contact point, including normal force and tangential force, is calculated, and the spatial distribution and temporal variation of the contact force are analyzed. Finally, the contact points and contact force distribution between the particle collection and the controlled structure model are obtained.

[0059] The contact points and contact force distribution between the particle set and the controlled structure model are converted into boundary constraints to define the mechanical interaction relationship between the particle system and the force-bearing structure model. These contact force data are input into the dynamic model of the controlled structure model as boundary constraints to simulate the dynamic response of the force-bearing structure model under external excitation and particle action. Through numerical simulation, the dynamic simulation results of the force-bearing structure model during the simulation process are obtained, including the force distribution, deformation state and dynamic response characteristics (such as displacement, stress, vibration mode, etc.) of the force-bearing structure model during the simulation process. Then, the displacement data of the force-bearing structure model is used as a new boundary condition to update the particle displacement boundary in the discrete element domain and redefine the contact and interaction of the particles.

[0060] The structural displacement data output by the dynamic simulation is used as the boundary condition for the next time step to input the discrete element method model to update the contact point position and contact force of the particle system. Then, based on the new displacement boundary condition, the dynamic response of the particles is calculated to track the interaction force and displacement evolution between the particle system and the stressed structural model. By continuously updating the displacement data throughout the simulation cycle, the vibration behavior of the structure, the dynamic evolution of the particle system, and the coupling between the two are accurately captured, and the influence of the particle damper on the vibration characteristics of the stressed structural model is analyzed.

[0061] The central difference method is used for numerical calculation, and the explicit integration method is used to solve the entire time period. In the numerical calculation, the central difference method is used for time integration to ensure the stability and accuracy of the calculation process. The central difference method can effectively improve the accuracy and efficiency of the calculation by using the physical quantities of the current moment and the previous and next moments to approximate the dynamic response of the system. In order to solve the entire time period, the explicit integration method is used to gradually update the state variables of the system (such as displacement, velocity, acceleration, etc.), and the time step is set to an appropriate value to ensure that each step of the calculation can accurately reflect the dynamic behavior of the system.

[0062] In vibration simulation, for the sweep frequency excitation effect, excitation signals of different frequency ranges are set and applied to the input end of the force-bearing structure model. The dynamic simulation results obtained by the joint simulation model can be used to analyze the damped free vibration response of the force-bearing structure model under the damping effect of the particle system during the frequency sweep process, and perform frequency response analysis to record the vibration amplitude, frequency characteristics and corresponding damping characteristics of the force-bearing structure model, and obtain the damped free vibration curve of the force-bearing structure model under sweep frequency excitation.

[0063] Based on the analyzed damped free vibration curve, the modal damping of the controlled structure model is calculated using the time domain attenuation method or the half-power band method. On the one hand, the time domain attenuation method is used to analyze the displacement attenuation curve of the controlled structure model during the free vibration process, extract the damping ratio of the controlled structure model, record the free vibration response of the structure after the excitation is removed, calculate the amplitude attenuation rate over time, and then estimate the modal damping. On the other hand, the half-power band method is used to analyze the response of the controlled structure model in the frequency domain, determine the damping characteristics of the structure, calculate the resonant frequency and half-power bandwidth of the controlled structure model, and extract the modal damping through the bandwidth of the frequency response function (FRF) near the resonance point.

[0064] Through the modal damping of the controlled structure model, the vibration reduction effect of the coated spherical particle damper model on the controlled structure model is analyzed, and the vibration reduction analysis results are obtained.

[0065] The embodiment of the present invention performs vibration simulation through a joint simulation model to simulate the vibration reduction effect of the coated spherical particle damper on the controlled structure. By analyzing the dynamic simulation results, the damped free vibration curve is determined and the modal damping is calculated, thereby quantifying the effect of the coated spherical particle damper on improving the vibration stability and reducing the amplitude of the controlled structure, providing a solid basis for optimizing the structural parameters of the particle damper.

[0066] In some embodiments, based on step 104, determining an optimized coated sphere particle damper model based on the vibration reduction analysis result includes: Updating particle geometric parameters of the coated sphere model; Iteratively executing the step of expanding the plurality of coated sphere models into a coated sphere particle damper model according to the particle contact parameters and the particle geometric parameters until a preset end condition is reached; Based on the vibration reduction analysis results under different particle geometric parameter conditions, the target particle geometric parameters are determined according to the preset optimization requirements; According to the target particle contact parameters, an optimized coated spherical particle damper model is determined.

[0067] Specifically, different simulation conditions are set, including parameters such as particle filling rate, particle material, and particle diameter. You can update parameters in only one dimension or in multiple dimensions. Try to simulate under commonly used simulation conditions to obtain detailed comparative data. For each simulation condition, obtain the vibration response data and modal damping of the controlled structure model, systematically compare the simulation experimental results under different simulation conditions, and analyze the influence of factors such as particle filling rate, material, and diameter on the vibration characteristics and modal damping of the system. Evaluate the influence of different particle filling rates on the vibration attenuation speed and damping effect, compare the contribution of different particle materials to the modal damping ratio, and the influence of particle diameter on vibration mode and energy transfer.

[0068] Based on the detailed simulation data under different simulation conditions such as particle filling rate, particle material and particle diameter, the vibration reduction effect of the coated spherical particle damper model on the controlled structural model is verified. By analyzing the vibration response and modal damping under different simulation conditions, the vibration reduction capacity of the coated spherical particle damper model under different configurations is evaluated, and the influence of various parameters on the vibration reduction effect is compared. Using these verification results, according to the preset optimization requirements, the target particle geometric parameters are determined, and then the optimal particle parameter combination is determined, thereby providing a basis for the structural parameter optimization of the coated spherical particle damper, and optimizing the design to achieve more efficient vibration control effects.

[0069] The embodiment of the present invention compares the detailed simulation data under the simulation conditions of different particle geometric parameters, evaluates the vibration reduction capacity of the coated spherical particle damper model under different configurations, compares the influence of various parameters on the vibration reduction effect, and finally determines the particle parameter combination under the target simulation conditions according to the optimization requirements, realizes the structural parameter optimization of the coated spherical particle damper, so as to realize the optimization of the particle damper design, significantly improves the dynamic performance and vibration control effect of the controlled structure, and ensures the stability and reliability of the system.

[0070] The particle damper model construction device provided by the present invention is described below. The particle damper model construction device described below and the particle damper model construction method described above can be referred to each other.

[0071] Reference Figure 2 , Figure 2 It is a structural schematic diagram of the particle damper model building device provided by the present invention.

[0072] The particle damper model building device comprises: The prediction module 210 is used to predict the equivalent elastic modulus of the coated sphere model.

[0073] The construction module 220 is used to construct a joint simulation model between the coated sphere particle damper model and the controlled structure model based on the equivalent elastic modulus.

[0074] The vibration reduction analysis module 230 is used to perform vibration simulation through the joint simulation model to obtain the vibration reduction analysis result of the coated sphere particle damper model on the controlled structure model.

[0075] The determination module 240 is used to determine an optimized coated sphere particle damper model based on the vibration reduction analysis result.

[0076] The particle damper model construction device provided by the present invention accurately predicts the equivalent elastic modulus of the coated sphere, realizes efficient simulation of the particle matrix and the coating as equivalent uniform materials, and is beneficial to improving the accuracy and efficiency of the coated sphere particle damper model design. Based on the equivalent elastic modulus, a joint simulation model between the coated sphere particle damper and the controlled structure is effectively constructed, which can accurately simulate the dynamic force transmission between the particle system and the controlled structure. The vibration reduction analysis results of the coated sphere particle damper model on the controlled structure model are obtained through vibration simulation, thereby optimizing the particle damper design, significantly improving the dynamic performance and vibration control effect of the controlled structure, and ensuring the stability and reliability of the system.

[0077] Furthermore, the prediction module 210 is also used for: constructing particle substrates and coatings; Based on the particle matrix and the coating, construct a coating sphere model; Performing effectiveness evaluation on the coated sphere model to obtain effectiveness evaluation results; If the effectiveness evaluation result is consistent with the expected effect, the equivalent elastic modulus of the coated sphere model is predicted.

[0078] Furthermore, the prediction module 210 is also used for: Screening out a first representative volume element from the particle matrix and screening out a second representative volume element from the coating; Determining material property evaluation results of the first representative volume element and the second representative volume element based on a first material property parameter of the first representative volume element and a second material property parameter of the second representative volume element; Applying the same external force to the particle matrix and the coating to obtain deformation results of the first representative volume element and the second representative volume element under the same external force condition; The material property evaluation result and the deformation result are determined as the validity evaluation result of the coated sphere model.

[0079] Furthermore, the prediction module 210 is also used for: The first material property parameter and the second material property parameter are input into an equivalent elastic modulus prediction model to obtain an equivalent elastic modulus of the coated sphere model output by the equivalent elastic modulus.

[0080] Furthermore, the construction module 220 is also used for: Determining particle contact parameters of the coated sphere model according to the equivalent elastic modulus; Determining particle geometric parameters of the coated sphere model; According to the particle contact parameters and the particle geometric parameters, a plurality of the coated sphere models are expanded into a coated sphere particle damper model; The simulation model of the coated spherical particle damper model and the simulation model of the controlled structure model are coupled to construct a joint simulation model between the coated spherical particle damper model and the controlled structure model.

[0081] Furthermore, the vibration reduction analysis module 230 is also used for: Performing vibration simulation through the joint simulation model to obtain a dynamic simulation result output by the joint simulation model; Based on the dynamic simulation results, determining a damped free vibration curve of the controlled structural model; Calculating the modal damping of the controlled structural model based on the damped free vibration curve; Based on the modal damping, a vibration reduction analysis result of the coated sphere particle damper model on the controlled structure model is determined.

[0082] Furthermore, the determining module 240 is further configured to: Updating particle geometric parameters of the coated sphere model; Iteratively executing the step of expanding the plurality of coated sphere models into a coated sphere particle damper model according to the particle contact parameters and the particle geometric parameters until a preset end condition is reached; Based on the vibration reduction analysis results under different particle geometric parameter conditions, the target particle geometric parameters are determined according to the preset optimization requirements; According to the target particle contact parameters, an optimized coated spherical particle damper model is determined.

[0083] It should be noted that the particle damper model building device provided by the present invention can execute the particle damper model building method described in any of the above embodiments during specific operation, which will not be described in detail in this embodiment.

[0084] Figure 3 is a schematic diagram of the structure of the electronic device provided by the present invention, such as Figure 3As shown, the electronic device may include: a processor 310, a communications interface 320, a memory 330 and a communication bus 340, wherein the processor 310, the communications interface 320 and the memory 330 communicate with each other through the communication bus 340. The processor 310 may call the logic instructions in the memory 330 to execute the particle damper model construction method, which includes: predicting the equivalent elastic modulus of the coated sphere model; based on the equivalent elastic modulus, constructing a joint simulation model between the coated sphere particle damper model and the controlled structure model; performing vibration simulation through the joint simulation model to obtain the vibration reduction analysis result of the coated sphere particle damper model on the controlled structure model; based on the vibration reduction analysis result, determining the optimized coated sphere particle damper model.

[0085] In addition, the logic instructions in the above-mentioned memory 330 can be implemented in the form of a software functional unit and can be stored in a computer-readable storage medium when it is sold or used as an independent product. Based on such an understanding, the technical solution of the present invention, in essence, or the part that contributes to the prior art or the part of the technical solution, can be embodied in the form of a software product, and the computer software product is stored in a storage medium, including a number of instructions for a computer device (which can be a personal computer, a server, or a network device, etc.) to perform all or part of the steps of the method described in each embodiment of the present invention. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), disk or optical disk, etc. Various media that can store program codes.

[0086] On the other hand, the present invention also provides a computer program product, which includes a computer program stored on a non-transitory computer-readable storage medium, and the computer program includes program instructions. When the program instructions are executed by a computer, the computer can execute the particle damper model construction method provided by the above-mentioned embodiments, and the method includes: predicting the equivalent elastic modulus of the coated sphere model; based on the equivalent elastic modulus, constructing a joint simulation model between the coated sphere particle damper model and the controlled structure model; performing vibration simulation through the joint simulation model to obtain the vibration reduction analysis results of the coated sphere particle damper model on the controlled structure model; based on the vibration reduction analysis results, determining the optimized coated sphere particle damper model.

[0087] On the other hand, the present invention also provides a non-transitory computer-readable storage medium having a computer program stored thereon. When the computer program is executed by a processor, it is implemented to execute the particle damper model construction method provided in the above-mentioned embodiments, the method comprising: predicting the equivalent elastic modulus of the coated sphere model; based on the equivalent elastic modulus, constructing a joint simulation model between the coated sphere particle damper model and the controlled structure model; performing vibration simulation through the joint simulation model to obtain the vibration reduction analysis result of the coated sphere particle damper model on the controlled structure model; based on the vibration reduction analysis result, determining the optimized coated sphere particle damper model.

[0088] The device embodiments described above are merely illustrative, wherein the units described as separate components may or may not be physically separated, and the components displayed as units may or may not be physical units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the present embodiment. Those of ordinary skill in the art may understand and implement the present invention without creative effort.

[0089] Through the description of the above implementation methods, those skilled in the art can clearly understand that each implementation method can be implemented by means of software plus a necessary general hardware platform, and of course, can also be implemented by hardware. Based on this understanding, the above technical solution is essentially or the part that contributes to the prior art can be embodied in the form of a software product, and the computer software product can be stored in a computer-readable storage medium, such as ROM / RAM, a disk, an optical disk, etc., including a number of instructions for a computer device (which can be a personal computer, a server, or a network device, etc.) to execute the methods described in each embodiment or some parts of the embodiments.

[0090] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit it. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein. However, these modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A particle damper model construction method, characterized in that: include: Predict the equivalent elastic modulus of the coated sphere model; Based on the equivalent elastic modulus, a joint simulation model between a coated spherical particle damper model and a controlled structure model is constructed; Performing vibration simulation through the joint simulation model to obtain vibration reduction analysis results of the coated sphere particle damper model on the controlled structure model; Based on the vibration reduction analysis results, an optimized coated sphere particle damper model is determined.

2. The particle damper model construction method according to claim 1, characterized in that: The equivalent elastic modulus of the predicted coated sphere model includes: constructing particle substrates and coatings; Based on the particle matrix and the coating, construct a coating sphere model; Performing effectiveness evaluation on the coated sphere model to obtain effectiveness evaluation results; If the effectiveness evaluation result is consistent with the expected effect, the equivalent elastic modulus of the coated sphere model is predicted.

3. The particle damper model construction method according to claim 2, characterized in that: The effectiveness evaluation of the coated sphere model is performed to obtain the effectiveness evaluation result, including: Screening out a first representative volume element from the particle matrix and screening out a second representative volume element from the coating; Determining material property evaluation results of the first representative volume element and the second representative volume element based on a first material property parameter of the first representative volume element and a second material property parameter of the second representative volume element; Applying the same external force to the particle matrix and the coating to obtain deformation results of the first representative volume element and the second representative volume element under the same external force condition; The material property evaluation result and the deformation result are determined as the validity evaluation result of the coated sphere model.

4. The particle damper model construction method according to claim 3, characterized in that: The method of predicting the equivalent elastic modulus of the coated sphere model comprises: The first material property parameter and the second material property parameter are input into an equivalent elastic modulus prediction model to obtain an equivalent elastic modulus of the coated sphere model output by the equivalent elastic modulus.

5. The particle damper model construction method according to any one of claims 1 to 4, characterized in that: The method of constructing a joint simulation model between a coated sphere particle damper model and a controlled structure model based on the equivalent elastic modulus includes: Determining particle contact parameters of the coated sphere model according to the equivalent elastic modulus; Determining particle geometric parameters of the coated sphere model; According to the particle contact parameters and the particle geometric parameters, a plurality of the coated sphere models are expanded into a coated sphere particle damper model; The simulation model of the coated spherical particle damper model and the simulation model of the controlled structure model are coupled to construct a joint simulation model between the coated spherical particle damper model and the controlled structure model.

6. The particle damper model construction method according to claim 5, characterized in that: The performing vibration simulation by the joint simulation model to obtain the vibration reduction analysis result of the coated sphere particle damper model on the controlled structure model includes: Performing vibration simulation through the joint simulation model to obtain a dynamic simulation result output by the joint simulation model; Based on the dynamic simulation results, determining a damped free vibration curve of the controlled structural model; Calculating the modal damping of the controlled structural model based on the damped free vibration curve; Based on the modal damping, a vibration reduction analysis result of the coated sphere particle damper model on the controlled structure model is determined.

7. The particle damper model construction method according to claim 6, characterized in that: Determining an optimized coated sphere particle damper model based on the vibration reduction analysis result includes: Updating particle geometric parameters of the coated sphere model; Iteratively executing the step of expanding the plurality of coated sphere models into a coated sphere particle damper model according to the particle contact parameters and the particle geometric parameters until a preset end condition is reached; Based on the vibration reduction analysis results under different particle geometric parameter conditions, the target particle geometric parameters are determined according to the preset optimization requirements; According to the target particle contact parameters, an optimized coated spherical particle damper model is determined.

8. A particle damper model building device, characterized in that: include: A prediction module is used to predict the equivalent elastic modulus of the coated sphere model; A construction module is used to construct a joint simulation model between a coated sphere particle damper model and a controlled structure model based on the equivalent elastic modulus; A vibration reduction analysis module, used for performing vibration simulation through the joint simulation model to obtain a vibration reduction analysis result of the coated sphere particle damper model on the controlled structure model; A determination module is used to determine an optimized coated sphere particle damper model based on the vibration reduction analysis results.

9. An electronic device, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein: When the processor executes the computer program, the steps of the particle damper model building method according to any one of claims 1 to 7 are implemented.

10. A non-transitory computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the steps of the particle damper model building method according to any one of claims 1 to 7 are implemented.

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