Visual measurement and sensitivity analysis-based vibration mode test verification and structure optimization method for paddy field land leveler

Abstract

The invention relates to a vibration mode test verification and structure optimization method for a paddy field land leveler based on vision measurement and sensitivity analysis. The method comprises the following steps: pasting mark points at key parts and establishing a coordinate system; shooting and analyzing a video by using a high-speed camera to obtain real machine modal data; establishing a parameterized model, carrying out modal analysis, and carrying out comparison verification with actually measured data; performing transient and harmonic response analysis to obtain three-dimensional amplitude; and sensitivity analysis and response surface optimization are carried out by taking the key parameters and the amplitude as optimization targets to obtain optimal design parameters, and an optimization result is obtained through comparison. The invention provides an accurate mechanical structure optimization method based on a real mechanical structure, and belongs to the technical field of agricultural mechanical structure optimization design.

Description

Technical Field

[0001] This invention relates to agricultural machinery structural optimization design technology, specifically to a method for optimizing the structure of existing paddy field graders by increasing vibration frequency and reducing vibration amplitude using high-speed camera modal and response surface methodology. Background Technology

[0002] Rice is a major staple food crop in my country and the world, and its stable and high yield is crucial to national food security. The flatness of paddy fields is a core factor affecting rice growth, irrigation efficiency, fertilizer utilization, and the quality of mechanized operations. Due to the mismatch between the dynamic complexity of operating conditions and traditional static design methods, there is a lack of a method to accurately obtain the true vibration modes under actual paddy field excitation, as well as a scientific structural optimization process based on reliable models aimed at improving dynamic performance. The main excitation sources experienced by paddy field graders during operation are road surface and engine vibrations. When the low-order natural frequencies of the equipment structure couple with the aforementioned excitation frequencies, resonance will occur, severely restricting the reliability of the equipment. Resonance significantly reduces the operational stability and leveling accuracy of the grader, affecting the crop growth environment; continuous alternating stress will accelerate fatigue damage to structural components, shorten the overall machine's service life, and increase maintenance costs; simultaneously, vibration transmission can also cause driver fatigue.

[0003] Existing technology indicates that the main excitation frequencies of the paddy field surface for the walking device are concentrated in the low-frequency range of 0.8Hz to 4.5Hz, while the typical excitation frequency of the matching engine is approximately 18Hz. To avoid harmful resonance and improve operational quality and equipment durability, one of the core design goals is to optimize the structure so that the low-order natural frequencies (especially the first and second-order frequencies) of the paddy field grader system effectively avoid the main external excitation frequency band and shift to higher frequencies. However, traditional static-based design methods lack accurate prediction and effective control methods for the dynamic characteristics of the entire machine, making it difficult to achieve the above goals.

[0004] Therefore, this invention proposes a method to obtain typical data, such as modalities, by using a high-speed camera in conjunction with the actual working conditions of a paddy field grader, and to simulate and further optimize the improvement scheme using ANSYS software. Summary of the Invention

[0005] In view of the technical problems existing in the prior art, the purpose of this invention is to provide a method for vibration mode testing and structural optimization of paddy field levelers based on visual measurement and sensitivity analysis, which can provide accurate mechanical structure optimization methods based on real mechanical structures.

[0006] To achieve the above objectives, the present invention adopts the following technical solution:

[0007] A method for vibration mode testing and structural optimization of paddy field leveling machines based on visual measurement and sensitivity analysis includes the following steps:

[0008] S01: Measure the specific dimensions and lengths of each component of the existing initial paddy field grader mechanical structure, and affix BMW logos to key parts of the existing mechanical equipment for recording the movement and changes of key positions during filming;

[0009] S02: Place a checkerboard pattern close to the ground under the mechanical equipment to establish a complete global spatial coordinate system;

[0010] S03: Use a high-speed camera to capture video of the paddy field grader working under external force, and import the excited video into TEMA software to analyze and extract the amplitude curves of the key parts of the paddy field grader in three spatial directions in the spatial coordinate system; then transfer the data to MATLAB software for FFT transformation to obtain the modal data of the paddy field grader, obtain the first two natural frequencies of the machine and the corresponding damping ratio, and compare them with the subsequent simulation to verify the effectiveness of the simulation;

[0011] S04: Model the main mechanical structure of the existing paddy field grader in SOLIDWORKS and parametrically design the dimensions of the moving parts.

[0012] S05: Import the parameterized mechanical model into ANSYS for modal analysis, extract the total deformation and the first six natural frequencies of the paddy field grader mechanical structure at the current initial position; and use the first two natural frequencies of this parameter as output parameters to compare with the data obtained by the high-speed camera to modify the model;

[0013] S06: Perform transient analysis in ANSYS and transfer the harmonic response module; insert the tension of the tractor suspension structure, the grader's own weight, and the land load in the paddy field grader structure; solve the problem to obtain the amplitude of the paddy field grader in the X, Y, and Z directions in the spatial coordinate system after being excited, and select output to the parameter set;

[0014] S07: The simulation process in ANSYS sets up the initial conditions and outputs the parameters to the parameter set. The parameters with higher sensitivity are used as input parameters, and the output parameters are the first two modes of the grader and the amplitudes of the X, Y, and Z axes of the grader after being excited. These are used as optimization conditions, and the optimization objective is to maximize the first two frequency values ​​and minimize the amplitude.

[0015] S08: Perform sensitivity analysis on the parameterized dataset and select parameters with higher sensitivity;

[0016] S09: Drag the response surface optimization into the parameter set, click Experimental Design, select the four parameters with the highest sensitivity after parameterization as input parameters, and construct the response surface model from the results of the Latin hypercube design experiment. The response surface type is selected as the genetic aggregation algorithm.

[0017] S10: Design and process the parameter set experimentally, construct the response surface model and perform optimization to obtain the optimal design parameters; compare the optimization results corresponding to the optimal design parameters with the initial modal data in step S05 to obtain the structural optimization results.

[0018] As a preferred embodiment, in step S02, a global spatial coordinate system is established as follows: the checkerboard is defined as the XOZ plane of the global coordinate system; three marker points are defined on the checkerboard; in the TEMA software, the first marker point is set as the origin of the global coordinate system, the direction connecting the first and second marker points is defined as the X-axis of the global coordinate system, and the direction connecting the first and third marker points is defined as the Z-axis of the global coordinate system; the TEMA software automatically generates a Y-axis that passes through the origin and is perpendicular to the XOZ plane, thereby establishing the global spatial coordinate system.

[0019] As a preferred option, in step S03, a Phantom VEO 410 high-speed camera is used to record video, and a supplementary light is also needed for illumination; the key part is the area where the BMW logo is pasted.

[0020] As a preferred option, in step S03, pre-set code is used in MATLAB to convert the pose transformation in the data into vectors, and Fourier transform matrix is ​​used to calculate and export the frequency and normalized data; the validity of the data in the code is based on the MAC confidence level as the output parameter to process the vibration data captured by the high-speed camera and obtain the modal data captured by the high-speed camera.

[0021] As a preferred embodiment, step S05 includes:

[0022] S051: Establish a new modal analysis module and assign material properties to the mechanical model;

[0023] S052: Mesh the mechanical model and add corresponding contact, spring and / or connection pair constraints to the connection parts;

[0024] S053: The mechanical model is solved using the Lanczos modal extraction method to obtain its first six natural frequencies and corresponding mode shapes, and the first two natural frequencies are extracted.

[0025] S054: Fit the modal data obtained from the high-speed camera with the modal data obtained from the simulation to determine whether the establishment of the mechanical model is reasonable.

[0026] As a preferred option, in step S052, tetrahedral elements are used to mesh the simplified model of the paddy field grader.

[0027] As a preferred option, step S06 is as follows: transfer the new transient module to the existing modal module, add standard Earth gravity, and add fixed supports on the mechanical structure. The fixed supports are selected from all end faces connected to the tractor parts; the time step is set to 0.1 seconds; add the collected land impact load step data, with the load application end face selected at the leveling shovel of the mechanical model, and the load direction opposite to the standard Earth gravity; perform the solution to obtain the maximum equivalent stress as the output parameter; and transfer the harmonic response module to the modal module, setting the minimum frequency interval range to 0Hz and the maximum to 20Hz in the analysis settings, and setting the solution interval to 100; insert the tension of the tractor suspension structure, the grader's own weight, and the land load force in the paddy field grader structure; perform the solution to obtain the amplitude in the X, Y, and Z directions, and select the output to the parameter set.

[0028] As a preferred option, in S08, the four parameters with higher sensitivity are: beam length, beam thickness, rod length, and rod width.

[0029] As a preferred option, in S08, when performing sensitivity analysis, the correlation type is selected as Spearman correlation, the accuracy of the correlation mean is selected as 0.1, and the accuracy of the standard deviation is selected as 0.02.

[0030] As a preferred option, in step S10, the parameter set is processed using an experimental design method. Specifically, the central composite design method is selected in the experimental processing, and the range of each input parameter is set to 90% to 110% of its initial value to obtain the optimized parameter values. The optimized parameter values ​​are then substituted into the model, and the simulation results are compared with the initial modal analysis results in step S05 to obtain the optimization results.

[0031] The present invention has the following advantages:

[0032] This optimization method addresses the challenges of complex spatial motions of multiple rigid bodies, difficulties in modal measurement, and inaccurate structural calculations. It provides a cost-effective solution for improving the natural frequencies of paddy field graders and preventing resonance and other hazards. Based on existing mechanical structures, a further optimization model is proposed. High-speed cameras directly capture and analyze real vibration data from actual operations, using this data as a benchmark for rigorous calibration of the digital simulation model. This ensures that subsequent simulation optimization processes are based on a reliable model highly consistent with real-world conditions. This fundamentally overcomes the inherent flaws of traditional pure simulation methods, where model distortion leads to unrealistic optimization results. The resulting structural optimization scheme combines theoretical rigor with engineering practicality, significantly improving the credibility and direct application value of the optimization results. Attached Figure Description

[0033] Figure 1 This is a flowchart of the method of the present invention.

[0034] Figure 2 This is a schematic diagram of the BMW logo.

[0035] Figure 3 This is a diagram of BMW point tracking in TEMA.

[0036] Figure 4 This is a diagram of BMW point calibration.

[0037] Figure 5 It is the pose change curve of a single point on two axes in a plane obtained in TEMA.

[0038] Figure 6 The frequency change diagram of the grader after being excited is obtained from harmonic response analysis.

[0039] Figures 7a-7c It is the frequency response amplitude and frequency displacement curve of the grader in the x, y, z coordinate system.

[0040] Figure 8 This is a project flowchart in Ansys 2024 Workbench.

[0041] Figure 9 This is a sensitivity analysis graph.

[0042] Figure 10 It is a 3D response surface map optimized for graders.

[0043] Figure 11 It is an optimization results report.

[0044] Figure 12 This is a structural diagram of a grader model. Detailed Implementation

[0045] The present invention will now be described in further detail with reference to specific embodiments.

[0046] A paddy field grader mainly consists of a grader blade, a suspension system, and a hydraulic adjustment system. The suspension system includes a frame, two rods, and a main beam.

[0047] A method for vibration mode testing and structural optimization of paddy field leveling machines based on visual measurement and sensitivity analysis includes the following steps S01-S10:

[0048] S01: Measure the specific dimensions and lengths of each component of the existing initial paddy field grader mechanical structure, and affix BMW logos to key parts of the existing mechanical equipment for recording the movement and changes of key positions during filming.

[0049] S02: Place a checkerboard pattern close to the ground under the mechanical equipment to serve as the ground coordinate system. Define this checkerboard pattern as the XOZ plane of the global coordinate system, and mark points 1, 2, and 3. In the TEMA software, use point 1 as the origin of the global coordinate system, points 1 and 2 to determine the X-axis of the global coordinate system, and points 1 and 3 to determine the Z-axis of the global coordinate system. Automatically generate a Y-axis in TEMA that passes through the origin and is perpendicular to the XOZ plane, thus establishing a complete global spatial coordinate system.

[0050] Specifically, the markers for TEMA need to be created in advance, such as... Figure 2 Print out the BMW logo in the shape of the image and paste it on the key areas that need to be measured.

[0051] S03: Use a high-speed camera to capture video of the paddy field grader operating under external forces (such as ground bumps). Import the video of the grader under excitation into TEMA software, analyze and extract the vibration curves of key parts of the grader in three spatial directions in a spatial coordinate system, obtain the vibration curve data of the grader after excitation, and then transfer the data to MATLAB software for FFT transformation to obtain the modal data of the paddy field grader, obtain the first two natural frequencies and corresponding damping ratios of the machine, and compare them with the subsequent simulation to verify the effectiveness of the simulation. Details are as follows:

[0052] This embodiment uses a Phantom VEO 410 high-speed camera to record video. A supplementary lighting is also required to obtain effective multi-frame video; this embodiment captures 300 frames per second. The tracking image in TEMA is as follows... Figure 3 As shown.

[0053] In TEMA, the BMW markings are calibrated, such as... Figure 4 Then, tracking and data recording are performed, and calibration points are placed on key transmission parts to separately record the pose change curves of individual points, such as... Figure 5 As shown.

[0054] Next, MATLAB software is used. Pre-defined code in MATLAB is used to convert the pose transformation in the data into vectors, and the Fourier transform matrix is ​​used to calculate and export the frequencies and normalized data. The validity of the data in the code is referenced to the MAC confidence level as an output parameter to process the vibration data captured by the high-speed camera, thus obtaining the modal data captured by the high-speed camera.

[0055] Through the above steps, the frequency response curve of the paddy field grader under actual excitation was obtained, as shown below. Figure 6 As shown. The amplitude curves of the paddy field leveling machinery structure under land load excitation in the X, Y, and Z directions are obtained in the spatial coordinate system. The frequency curves of the grader in the three directions after excitation are listed here. Figures 7a-7c As shown.

[0056] S04: Model the main mechanical structure of the existing paddy field grader in SOLIDWORKS. Then, parametrically design the dimensions of the moving parts.

[0057] S05: Import the parameterized mechanical model into ANSYS for modal analysis, extracting the total deformation and the first six natural frequencies of the paddy field grader's mechanical structure at the current initial position. The first two natural frequencies are then used as output parameters and compared with data obtained from the high-speed camera to modify the model. The first two natural frequencies are selected for response surface optimization. Details are as follows:

[0058] S051: Establish a new modal analysis module to assign material properties to the mechanical model.

[0059] S052: Mesh generation. Use tetrahedral elements to mesh the simplified model of the paddy field grader. Add contact by setting the front and rear end faces of the hydraulic cylinder as the two vertices of the longitudinal contact, and create a spring with a longitudinal stiffness of 900 N / m. Select the cylinder head as the reference geometry and the cylinder tail as the moving geometry. Set the hinge as a slewing joint and other parts as connecting joints.

[0060] S053: Solve using Lanczos' modal extraction method, which is advantageous for solving large matrix problems and performs well even with poor mesh quality. Obtain the modal frequency parameters and mode shapes, and extract the first two natural frequencies for subsequent response surface optimization analysis.

[0061] The modal analysis results are shown in the table below.

[0062]

[0063] S054: Fit the modal data obtained from the high-speed camera with the modal data obtained from the simulation to determine whether the establishment of the mechanical model is reasonable.

[0064] S06: Perform transient analysis in ANSYS, transfer the data to the harmonic response module, and in the analysis settings, select a minimum frequency interval range of 0Hz and a maximum range of 20Hz, with a solution interval of 100. Insert the tension of the tractor suspension structure, the grader's own weight, and the soil load force into the paddy field grader structure. Solve to obtain the amplitude of the paddy field grader in the X, Y, and Z directions in the spatial coordinate system after excitation, and select output to the parameter set. Details are as follows:

[0065] Transfer the new transient module to the existing modal module, add standard Earth gravity, and add fixed supports on the mechanical structure, selecting all end faces connected to the tractor component. Set the time step to 0.1s. Add the collected land impact load step data, selecting the end face at the leveling shovel of the mechanical model. The orientation is opposite to the standard Earth gravity direction. Solve and obtain the maximum equivalent stress value as the output parameter.

[0066] Add load steps to simulate land loads. Details are shown in the table below:

[0067]

[0068] S07: Before constructing a complete response surface methodology experiment, the simulation process in ANSYS needs to be set up with initial conditions, and the parameters need to be output to the parameter set. Here, four highly sensitive parameters—beam length, beam thickness, rod length, and rod width—are used as input parameters. The output parameters are the first two modes of the grader and the amplitudes of the grader's X, Y, and Z axes after excitation. These are used as optimization conditions, with the optimization objective being to maximize the first two frequency values ​​and minimize the amplitude.

[0069] Figure 8 The image shows a project flowchart in Ansys 2024 Workbench.

[0070] S08: When performing sensitivity analysis on the parameterized dataset, select Spearman correlation as the correlation type, 0.1 for the mean correlation accuracy, and 0.02 for the standard deviation accuracy. Select four parameters with high sensitivity.

[0071] Figure 9 The diagram shows the sensitivity analysis, with green representing beam length, red representing rod length, yellow representing beam thickness, and blue representing rod width. Further analysis reveals that among the four parameters with high sensitivity, beam length and rod length have significantly higher sensitivity than beam thickness and rod width, making them crucial for optimization.

[0072] S09: Drag the response surface optimization into the parameter set, click on experimental design, select the four parameters with the highest sensitivity after parameterization as input parameters, and construct the response surface model from the results of the Latin hypercube design experiment. The response surface type is selected as the genetic aggregation algorithm.

[0073] S10: After processing the parameter set, the DOE experimental method was used. In the experimental processing, the central composite method (ccd) was selected to process the input parameter values ​​from 90% of the lower DOE limit to 110% of the upper DOE limit. The parameter values ​​of each sensitivity were divided into 5 types, 26 experimental results were simulated, and a 3D response surface image was obtained. The optimized parameter values ​​can then be compared with the initially obtained modal data to obtain the optimization results.

[0074] The 3D response surface graph visually reflects the good range and effect of optimization, such as... Figure 10 As shown, nine representative images are selected for reference.

[0075] The optimized parameter values ​​obtained according to the method of the present invention can be compared with the initially obtained modal data to obtain the optimization result. Figure 11 It can be calculated that the frequency value increased by 2 in the first two modes and by 13.5% in the third mode.

[0076] The above embodiments are preferred embodiments of the present invention, but the embodiments of the present invention are not limited to the above embodiments. Any changes, modifications, substitutions, combinations, or simplifications made without departing from the spirit and principle of the present invention shall be considered equivalent substitutions and shall be included within the protection scope of the present invention.

Claims

1. A method for vibration mode testing and structural optimization of paddy field leveling machines based on visual measurement and sensitivity analysis, characterized in that, Includes the following steps: S01: Measure the specific dimensions and lengths of each component of the existing initial paddy field grader mechanical structure, and affix BMW logos to key parts of the existing mechanical equipment for recording the movement and changes of key positions during filming; S02: Place a checkerboard pattern close to the ground under the mechanical equipment to establish a complete global spatial coordinate system; S03: Use a high-speed camera to capture video of the paddy field grader working under external force, and import the excited video into TEMA software to analyze and extract the amplitude curves of the key parts of the paddy field grader in three spatial directions in the spatial coordinate system; then transfer the data to MATLAB software for FFT transformation to obtain the modal data of the paddy field grader, obtain the first two natural frequencies of the machine and the corresponding damping ratio, and compare them with the subsequent simulation to verify the effectiveness of the simulation; S04: Model the main mechanical structure of the existing paddy field grader in SOLIDWORKS and parametrically design the dimensions of the moving parts. S05: Import the parameterized mechanical model into ANSYS for modal analysis, extract the total deformation and the first six natural frequencies of the paddy field grader mechanical structure at the current initial position; and use the first two natural frequencies of this parameter as output parameters to compare with the data obtained by the high-speed camera to modify the model; S06: Transmit harmonic response module for transient analysis in ANSYS; The tensile force of the tractor suspension structure, the weight of the grader itself, and the soil load force are considered in the structure of the paddy field grader. Solve the equations to obtain the amplitudes of the paddy field grader in the X, Y, and Z directions in the spatial coordinate system after it is excited, and select the output to the parameter set. S07: The simulation process in ANSYS sets up the initial conditions and outputs the parameters to the parameter set. The parameters with higher sensitivity are used as input parameters, and the output parameters are the first two modes of the grader and the amplitudes of the X, Y, and Z axes of the grader after being excited. These are used as optimization conditions, and the optimization objective is to maximize the first two frequency values ​​and minimize the amplitude. S08: Perform sensitivity analysis on the parameterized dataset and select parameters with higher sensitivity; S09: Drag the response surface optimization into the parameter set, click Experimental Design, select the four parameters with the highest sensitivity after parameterization as input parameters, and construct the response surface model from the results of the Latin hypercube design experiment. The response surface type is selected as the genetic aggregation algorithm. S10: Design and process the parameter set experimentally, construct the response surface model and perform optimization to obtain the optimal design parameters; compare the optimization results corresponding to the optimal design parameters with the initial modal data in step S05 to obtain the structural optimization results.

2. The method for vibration mode testing and structural optimization of a paddy field leveler based on visual measurement and sensitivity analysis as described in claim 1, characterized in that, In step S02, a global spatial coordinate system is established as follows: the checkerboard is defined as the XOZ plane of the global coordinate system; three marker points are defined on the checkerboard; in the TEMA software, the first marker point is set as the origin of the global coordinate system, the direction connecting the first and second marker points is defined as the X-axis of the global coordinate system, and the direction connecting the first and third marker points is defined as the Z-axis of the global coordinate system; the TEMA software automatically generates a Y-axis that passes through the origin and is perpendicular to the XOZ plane, thereby establishing the global spatial coordinate system.

3. The method for vibration mode testing and structural optimization of a paddy field leveler based on visual measurement and sensitivity analysis as described in claim 1, characterized in that... In step S03, a Phantom VEO 410 high-speed camera is used to record video, and a fill light is also needed for illumination; the key part is the area where the BMW logo is pasted.

4. The method for vibration mode testing and structural optimization of a paddy field leveler based on visual measurement and sensitivity analysis as described in claim 1, characterized in that... In step S03, pre-set code in MATLAB is used to convert the pose transformation in the data into vectors, and the Fourier transform matrix is ​​used to calculate and export the frequency and normalized data. The validity of the data in the code is based on the MAC confidence level as the output parameter to process the vibration data captured by the high-speed camera and obtain the modal data captured by the high-speed camera.

5. The method for vibration mode testing and structural optimization of a paddy field leveler based on visual measurement and sensitivity analysis as described in claim 1, characterized in that... Step S05 includes: S051: Establish a new modal analysis module and assign material properties to the mechanical model; S052: Mesh the mechanical model and add corresponding contact, spring and / or connection pair constraints to the connection parts; S053: The mechanical model is solved using the Lanczos modal extraction method to obtain its first six natural frequencies and corresponding mode shapes, and the first two natural frequencies are extracted. S054: Fit the modal data obtained from the high-speed camera with the modal data obtained from the simulation to determine whether the establishment of the mechanical model is reasonable.

6. The method for vibration mode testing and structural optimization of a paddy field grader based on visual measurement and sensitivity analysis as described in claim 5, characterized in that... In step S052, tetrahedral elements are used to mesh the simplified model of the paddy field grader.

7. The method for vibration mode testing and structural optimization of a paddy field leveler based on visual measurement and sensitivity analysis as described in claim 1, characterized in that, Step S06 is: Transfer the new transient module to the existing modal module, add standard Earth gravity, and add fixed supports on the mechanical structure. Select all end faces connected to the tractor parts as fixed supports; set the time step to 0.1 seconds; add the collected land impact load step data, select the load application end face at the leveling shovel of the mechanical model, and the load direction is opposite to the standard Earth gravity; solve the problem and obtain the maximum equivalent stress value as the output parameter; Additionally, the harmonic response module is transferred to the modal module, and in the analysis settings, the minimum frequency interval is set to 0Hz, the maximum frequency interval is set to 20Hz, and the solution interval is set to 100; the tension of the tractor suspension structure, the grader's own weight, and the soil load force are inserted into the paddy field grader structure. Solve the equation to obtain the amplitudes in the X, Y, and Z directions, and select the output to the parameter set.

8. The method for vibration mode testing and structural optimization of a paddy field leveler based on visual measurement and sensitivity analysis as described in claim 1, characterized in that, In S08, the four parameters with higher sensitivity are: beam length, beam thickness, rod length, and rod width.

9. The method for vibration mode testing and structural optimization of a paddy field leveler based on visual measurement and sensitivity analysis as described in claim 1, characterized in that, In S08, during sensitivity analysis, the correlation type is set to Spearman correlation, the accuracy of the correlation mean is set to 0.1, and the accuracy of the standard deviation is set to 0.

02.

10. The method for vibration mode testing and structural optimization of a paddy field leveler based on visual measurement and sensitivity analysis as described in claim 1, characterized in that, In step S10, the parameter set is processed using experimental design methods. Specifically, the central composite design method is selected in the experimental processing, and the range of each input parameter is set to 90% to 110% of its initial value to obtain the optimized parameter values. The optimized parameter values ​​are then substituted into the model, and the simulation results are compared with the initial modal analysis results in step S05 to obtain the optimization results.

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