Multi-target topological optimization method, device and equipment for machine tool stand column structure and medium
By reconstructing the machine tool column structure using a multi-objective topology optimization method, the problem of coordinating the optimization of static and dynamic stiffness was solved, thereby improving the adaptability and performance of the column.
Patent Information
- Application Number
- CN202511450365.9
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-10-11
- Publication Date
- 2026-01-23
AI Technical Summary
Existing machine tool column structure optimization methods cannot optimize static stiffness and dynamic stiffness in a coordinated manner, making it difficult to adapt to complex working conditions and affecting performance.
A multi-objective topology optimization method was adopted. By constructing a three-dimensional model, the deformation information and multi-order frequencies of the column guide rail were analyzed to determine the optimization strategy, reconstruct the position of the load-bearing stiffener, and optimize the internal structure of the column.
The optimization improved the adaptability and performance of the machine tool column in actual use. The forward tilting deformation of the column was reduced by 25.4%, the first-order frequency was increased by 22.6%, the second-order frequency was increased by 12.7%, and the mass was reduced by 11.6%.
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Figure CN121389358A_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The present application relates to the field of machine tool column optimization, and in particular to a multi-objective topology optimization method, device, equipment and medium for machine tool column structure. BACKGROUND
[0002] The existing optimization methods for machine tool column structure include optimization for static performance and optimization for dynamic performance. These optimization methods cannot simultaneously optimize the static stiffness and dynamic stiffness of the machine tool column structure. In addition, the machine tool column faces various complex working conditions in actual application. The column structure reconstructed by the existing optimization methods is difficult to adapt to complex working conditions, thereby affecting the performance of the machine tool column. SUMMARY
[0003] The present application provides a multi-objective topology optimization method, device, equipment and medium for machine tool column structure, to solve the poor adaptability problem of the existing machine tool column optimization method in actual use.
[0004] The present application provides a multi-objective topology optimization method for machine tool column structure, comprising the following steps: Perform internal filling processing and target feature deletion processing on the three-dimensional structure of the machine tool column to obtain a target three-dimensional model; Analyze the target three-dimensional model to obtain column guide deformation information and column multi-order frequency; Determine an optimization strategy based on optimization constraints and optimization targets; the optimization constraints include column mass, column guide deformation information and column multi-order frequency; and the optimization target is total column flexibility under multiple working conditions; Reconstruct and optimize the column internal rib at the load-bearing rib position based on the optimization strategy; the load-bearing rib position is determined based on the optimization area of the column interior.
[0005] According to the multi-objective topology optimization method for machine tool column structure provided by the present application, the analysis of the target three-dimensional model to obtain column guide deformation information and column multi-order frequency comprises: Perform grid independence verification on the target three-dimensional model defining material properties to obtain a target three-dimensional model with optimal grid size; Perform multi-condition analysis on the target three-dimensional model with optimal grid size to obtain column guide deformation information corresponding to each working condition; Perform modal analysis on the target three-dimensional model with optimal grid size to obtain column multi-order frequency.
[0006] According to the multi-objective topology optimization method for machine tool column structure provided by the present application, the determination of the optimization strategy based on optimization constraints and optimization targets comprises: The total flexibility of the column under multiple working conditions is determined based on the weighting coefficients and flexibility of each working condition. The overall flexibility of the column under multiple working conditions is used as the optimization target; The determined optimized multi-order frequencies, the mass ratio before and after optimization, the maximum deformation of the column guide rail, and the unit material density are used as optimization constraints.
[0007] According to the present invention, a multi-objective topology optimization method for a machine tool column structure is provided, wherein the multi-objective topology optimization method for the machine tool column structure further includes: Mark the interior or exterior of the pillars of the target 3D model with the optimal mesh size as the optimization region; A topology optimization cloud map is generated based on the grid cell density distribution of the optimized region; The location of the load-bearing reinforcement plate is determined based on the topology optimization cloud map.
[0008] According to the multi-objective topology optimization method for machine tool column structure provided by the present invention, the method includes reconstructing and optimizing the internal stiffening plates of the column based on the optimization strategy, and then comprising: Parametric modeling of the angles of the internal stiffening plates of the reconstructed column is performed to obtain the parametric model of the column. A single-condition analysis was performed on the parameterized model of the column to obtain the column's forward tilting deformation information, first-order frequency, and second-order frequency. The column forward tilting deformation information, the first-order frequency and the second-order frequency are used as optimization targets, and the stiffener angle is used as optimization variable. Based on the optimization objective and the optimization variables, the angles of the internal stiffening plates of the column are optimized to obtain the optimal angle combination.
[0009] According to the multi-objective topology optimization method for a machine tool column structure provided by the present invention, the optimization of the angles of the internal stiffeners of the column based on the optimization objective and the optimization variables to obtain the optimal angle combination includes: The optimization objectives are to maximize the first-order frequency and the second-order frequency, and to minimize the forward tilting deformation information of the column. The column stiffener angle and degree range are used as optimization variables; the degree range is the angle range corresponding to the column stiffener angle. Constraints are determined based on a preset minimum frequency and the degree range; Based on the optimization objective, the optimization variables, and the constraints, the angles of the internal stiffening plates of the column are optimized to obtain the optimal angle combination.
[0010] The present invention also provides a multi-objective topology optimization device for a machine tool column structure, comprising the following modules: The machine tool column 3D model building module is used to perform internal filling and target feature deletion processing on the 3D structure of the machine tool column to obtain the target 3D model; The target 3D model analysis module is used to analyze the target 3D model to obtain column guide rail deformation information and column multi-order frequencies; The optimization strategy determination module is used to determine the optimization strategy based on optimization constraints and optimization objectives; the optimization constraints include column mass, column guide rail deformation information, and column multi-order frequencies; the optimization objective is the total flexibility of the column under multiple working conditions. The reconstruction and optimization module is used to reconstruct and optimize the internal stiffening plates of the column at the location of the load-bearing stiffening plates based on the optimization strategy; the location of the load-bearing stiffening plates is determined based on the optimization area inside the column.
[0011] The present invention also provides an electronic device, including a memory, a processor, and a computer program stored in the memory and running on the processor, wherein the processor executes the computer program to implement a multi-objective topology optimization method for a machine tool column structure as described above.
[0012] The present invention also provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements a multi-objective topology optimization method for a machine tool column structure as described above.
[0013] The present invention also provides a computer program product, including a computer program that, when executed by a processor, implements a multi-objective topology optimization method for a machine tool column structure as described above.
[0014] The multi-objective topology optimization method, apparatus, equipment, and medium for machine tool column structures provided by this invention constructs a three-dimensional model of the machine tool column, analyzes the column modalities and various working conditions, obtains column guide rail deformation information and column multi-order frequencies for creating optimization constraints, and then determines the column optimization strategy based on the optimization constraints and the optimization objective of the column's total flexibility under multiple working conditions. Based on the optimization strategy, the internal stiffeners of the column corresponding to the determined load-bearing stiffener positions are reconstructed and optimized. Through multi-objective collaborative optimization of the machine tool column, the adaptability of the optimized column in actual use is improved. Attached Figure Description
[0015] To more clearly illustrate the technical solutions in this invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of this invention. For those skilled in the art, other drawings can be obtained from these drawings without creative effort.
[0016] Figure 1It is one of the flow schematic diagrams of the multi-objective topology optimization method of the machine tool column structure provided by the application.
[0017] Figure 2 It is a structural schematic diagram of a five-axis gantry machining center provided by the application.
[0018] Figure 3 It is a column structure schematic diagram provided by the application.
[0019] Figure 4 It is a position schematic diagram of various working conditions on the column provided by the application.
[0020] Figure 5 It is a schematic diagram of a topology optimization cloud diagram provided by the application.
[0021] Figure 6 It is a second flow schematic diagram of the multi-objective topology optimization method of the machine tool column structure provided by the application.
[0022] Figure 7 It is a structural schematic diagram of a restructured rib plate provided by the application.
[0023] Figure 8 It is a static deformation comparison schematic diagram of the column before and after optimization provided by the application.
[0024] Figure 9 It is a first / second / third order frequency schematic diagram of the original model provided by the application.
[0025] Figure 10 It is a first / second / third order frequency schematic diagram after optimization provided by the application.
[0026] Figure 11 It is a structural schematic diagram of the multi-objective topology optimization device of the machine tool column structure provided by the application.
[0027] Figure 12 It is a structural schematic diagram of an electronic device provided by the application. DETAILED DESCRIPTION
[0028] To make the purpose, technical scheme and advantages of the application clearer, the technical scheme in the application will be described clearly and completely below in combination with the drawings in the application. Obviously, the described embodiments are part of the embodiments of the application, rather than all the embodiments. Based on the embodiments in the application, all other embodiments obtained by those skilled in the art without creative labor fall within the protection scope of the application.
[0029] The multi-objective topology optimization method, device, equipment and medium of the machine tool column structure of the application will be described below in combination with Figures 1-9
[0030] Figure 1 This is one of the flowcharts illustrating the multi-objective topology optimization method for machine tool column structure provided by the present invention, such as... Figure 1 As shown, the method includes the following: Step 100: Perform internal filling and target feature deletion processing on the three-dimensional structure of the machine tool column to obtain the target three-dimensional model; like Figure 2 As shown, this invention takes the column of a five-axis gantry machining center as an example, where 1 is the column; 2 is the bed; 3 is the crossbeam; 4 is the spindle box; 5 is the swivel head; and 6 is the worktable. The column is connected to the machine bed by bolts; the crossbeam is connected to the column by guide rails and lead screws; the spindle box is connected to the crossbeam by guide rails and lead screws; and the worktable is connected to the bed by guide rails and lead screws. In operation, the worktable can move back and forth along the Z-axis, the crossbeam can move up and down along the Y-axis, and the spindle box and swivel head can move left and right along the X-axis.
[0031] When optimizing the column structure, in order to avoid the existing stiffening plate structure of the machine tool column from affecting the optimization analysis, the interior of the three-dimensional structure of the machine tool column can be filled using SolidWorks software (a three-dimensional solid modeling tool). Then, fillets, bolt holes, and small features (i.e. target features) that have little impact on the finite element analysis are deleted from the three-dimensional structure of the machine tool column to obtain the processed three-dimensional model of the machine tool column, i.e., the target three-dimensional model.
[0032] Step 200: Analyze the target 3D model to obtain the column guide rail deformation information and column multi-order frequencies; The processed 3D model of the machine tool column is as follows Figure 3 As shown, based on the actual machining process of the machine tool, the working conditions can be simplified as follows: Figure 4 The three scenarios shown are: Scenario 1, where the crossbeam, spindle box, and swivel head are located on the upper part of the column, as... Figure 4 (a) in the second case is where the crossbeam, spindle box, and sway head are located in the middle of the column, such as... Figure 4 (b) in the third case: the crossbeam, spindle box, and sway head are located at the bottom of the column, such as... Figure 4 (c) in the middle.
[0033] Import the target 3D model into the finite element analysis software, and then define the material properties of the target 3D model. For example, the material of the column is HT300 (gray cast iron), and the density property of HT300 is 7300 kg / m³. 3 The Poisson's ratio (a mechanical parameter characterizing the lateral deformation properties of a material under uniaxial force) of HT300 is 0.27. Mesh independence was then verified (a crucial step in finite element analysis; the purpose of mesh independence verification is to find a mesh size that has the least impact on computational accuracy), ultimately yielding an optimal mesh size of 50 mm for the target 3D model.
[0034] The three working conditions of the target three-dimensional model are analyzed to obtain the deformation of the column guide rail under the three working conditions, i.e., column guide rail deformation information; the target three-dimensional model is subjected to modal analysis to obtain the first three order frequencies of the column, i.e., column multi-order frequencies.
[0035] Step 300, determining an optimization strategy based on optimization constraints and optimization objectives; the optimization constraints include column mass, column guide rail deformation information and column multi-order frequencies; and the optimization objective is total column flexibility under multiple working conditions; In combination with the actual machining requirements of the machine tool, the weights of the three working conditions of the column are determined as 、 、 and ; the column guide rail forward inclination deformation is ; the maximum column guide rail forward inclination deformation is ; the guide rail deformations under the three working conditions are 、 、 and ; the first and second order frequencies of the column are and ; and the column mass is . The column mass , the first order frequency , the second order frequency , the column guide rail forward inclination deformation are taken as optimization constraints, and the minimization of column flexibility is taken as an optimization objective. On the basis of the optimization constraints and the optimization objective, a strategy for optimizing the internal structure of the column is determined, i.e., an optimization strategy.
[0036] Step 400, reconstructing and optimizing the column internal rib plate at the load-bearing rib plate position based on the optimization strategy; the load-bearing rib plate position is determined based on the optimized area of the column.
[0037] The application also provides a method for multi-objective topology optimization of a column structure by a variable density method, which outputs a topology optimization cloud diagram for indicating plate rib reconstruction, as shown in Figure 5 The input of the variable density method includes a target three-dimensional model, material properties, working condition weights and optimization constraints, and the output is a topology optimization cloud diagram showing material density distribution. The topology optimization cloud diagram can realize the visualization of grid element density distribution (0-1), and different colors of different areas in the target three-dimensional model represent the density of the area, for example, the area with a density of about 1 is a load-bearing structure area that must be retained, i.e., the optimized area of the column; the area with a density of about 0 is a removable material area; and the area with a density between 0 and 1 is a to-be-judged area.
[0038] After the position of the load-bearing rib plate is determined, the internal rib plate of the column corresponding to the position of the load-bearing rib plate is restructured and optimized by the optimization strategy and the topological optimization cloud map, to obtain a restructured rib plate configuration.
[0039] The embodiment constructs a three-dimensional model of the column of the machine tool, analyzes the column modal and various working conditions, obtains column guide rail deformation information and column multi-order frequency for creating optimization constraints, determines a column optimization strategy based on the optimization constraints and an optimization target of the total flexibility of the column in various working conditions, and restructures and optimizes the internal rib plate of the column corresponding to the determined position of the load-bearing rib plate, to improve the adaptability of the optimized column in actual use through multi-objective collaborative optimization of the column of the machine tool.
[0040] In one embodiment, the multi-objective topological optimization method for the column structure of the machine tool provided by the embodiment can further include the following steps. Step 210: verifying the grid independence of the target three-dimensional model defining the material properties to obtain a target three-dimensional model with an optimal grid size; Step 220: analyzing the target three-dimensional model with the optimal grid size in various working conditions to obtain column guide rail deformation information corresponding to each working condition; Step 230: performing modal analysis on the target three-dimensional model with the optimal grid size to obtain column multi-order frequencies.
[0041] Specifically, in the process of performing finite element analysis on the target three-dimensional model, various material properties of the target three-dimensional model are defined, and then grid independence is verified to obtain an optimal grid size of the target three-dimensional model. The core purpose of grid independence verification is to ensure the accuracy and reliability of the finite element analysis results. By testing whether the calculation results under different grid sizes converge (i.e., the finite element analysis results no longer change significantly with the refinement of the grid), an optimal grid size (the optimal grid size selected by the embodiment is 50 mm) is selected. The determination of the optimal grid size avoids error accumulation caused by improper grid selection in the process of column optimization.
[0042] Three working condition analyses are performed on the target three-dimensional model with the optimal grid size to obtain guide rail deformations corresponding to the three working conditions (respectively, 、 、 and ), i.e., column guide rail deformation information corresponding to each working condition. At the same time, modal analysis is performed on the target three-dimensional model with the optimal grid size to obtain the first three-order frequencies of the column of the machine tool, wherein the first-order frequency of the column is , and the second-order frequency of the column is .
[0043] This embodiment obtains the column guide rail deformation information and column multi-order frequencies for determining optimization constraints by defining material properties, verifying mesh independence, performing working condition analysis and modal analysis on the target three-dimensional model.
[0044] In one embodiment, the multi-objective topology optimization method for machine tool column structure provided by this invention may further include: Step 310: Determine the total flexibility of the column under multiple working conditions based on the weight coefficients and flexibility of each working condition. Step 320: Take the total flexibility of the multi-condition column as the optimization target; Step 310: Use the determined optimized multi-order frequency, the mass ratio before and after optimization, the maximum deformation of the column guide rail, and the unit material density as optimization constraints.
[0045] Specifically, the weights of the above three column operating conditions will be adjusted. , ,and The ratio is set to 1:2:2 to reflect the importance of the operating conditions. The optimization objective is then defined as minimizing the total compliance. As shown in Formula 1, where, The total slenderness of the column under three working conditions; , and The compliance is defined under three different operating conditions.
[0046] (1) (2) (3) The quality of the column First-order frequency Second-order frequency Forward tilting deformation of column guide rail As optimization constraints, as shown in Equations 2 and 3, where, For the optimized quality; The quality before optimization; To optimize the expected value of the quality ratio before and after; The optimized first-order frequency of the column; The optimized second-order frequency of the column; This represents the maximum deformation caused by the forward tilt of the column guide rail; This is the expected value of the first-order frequency; This is the expected value of the second-order frequency; This represents the expected value of the deformation of the column guide rail; For the first The material density corresponding to each grid cell, i.e., the cell material density.
[0047] The embodiment provides a strategy for accurately optimizing the internal structure of the column by determining optimization targets and optimization constraints.
[0048] In one embodiment, the multi-objective topology optimization method of the machine tool column structure provided by the embodiment of the present application can further include: Step 10, marking the internal column or the external column of the target three-dimensional model with the optimal grid size as an optimization area; Step 20, generating a topology optimization cloud atlas based on the grid cell density distribution of the optimization area; Step 30, determining the position of the load-bearing rib plate based on the topology optimization cloud atlas.
[0049] It should be noted that the internal column and the external column can both have optimization areas, and in actual application scenarios, the optimization area of the column is determined according to actual working conditions.
[0050] Specifically, Figure 5 A schematic diagram of a topology optimization cloud atlas generated based on the optimization area of the internal column. The present application realizes multi-objective topology optimization of the column structure by using the variable density method, generates a topology optimization cloud atlas to guide the reconstruction of the rib plate. The input includes a target three-dimensional model after solid filling processing, material properties, working condition weights and optimization constraints; and the output is a topology optimization cloud atlas showing the material density distribution, which is used to identify the position of the load-bearing rib plate.
[0051] The output form of the topology optimization cloud atlas is a visual cell density distribution diagram, in which regions of various colors identify different density distributions. For example, a red region is a region with a density of about 1, which is a load-bearing structure region that must be retained, i.e., the position of the load-bearing rib plate; a blue region is a removable material region with a density of about 0; and a region with a density between 0 and 1 is a region to be judged.
[0052] The embodiment realizes multi-objective topology optimization of the column structure by using the variable density method, and generates a topology optimization cloud atlas to guide the reconstruction of the rib plate.
[0053] Figure 6 is a flowchart of the multi-objective topology optimization method of the machine tool column structure provided by the present application, as shown in Figure 6 The method can further include: Step 500, parameterizing modeling the angle of the reconstructed internal rib plate of the column to obtain a column parameterized model; Step 600, performing single-working-condition analysis on the column parameterized model to obtain column forward tilt deformation information, a first-order frequency and a second-order frequency; Step 700, taking the column forward tilt deformation information, the first-order frequency and the second-order frequency as optimization targets, and taking the rib plate angle as an optimization variable; Step 800, optimizing the angles of the internal rib plates of the column based on the optimization target and the optimization variable to obtain an optimal angle combination.
[0054] Specifically, the structure of the column is reconstructed in three-dimensional software, the rib plate angles are parameterized modeled through the parameterization function of the three-dimensional software to obtain a column parameterized model. Then the column parameterized model is input into a finite element analysis program, fixed constraints (such as the column and bed body joint surface) are set, and a single working condition (such as the upper working condition) is analyzed to obtain the column forward inclination deformation , the first-order frequency , and the second-order frequency . Then the maximum of the first-order frequency , the maximum of the second-order frequency , and the minimum of the column guide rail forward inclination deformation are taken as the optimization target, and the column rib plate angle is taken as the optimization variable. Based on the response surface method (Box-Behnken Design, BBD), a verification of 4 factors (such as the rib plate angles Figure 7 , the rib plate angles , the rib plate angles , and the rib plate angles ) and 3 levels is performed, and 25 test schemes are generated to cover the rib plate angle variable range, wherein the range of is [30, 45, 60]; is [40, 60, 80]; is [50, 60, 70]; is [60, 70, 80].
[0055] The rib plate angles of the column are optimized through a genetic algorithm to obtain an optimal rib plate angle combination.
[0056] In this embodiment, the test data is optimized, and a genetic algorithm is used to solve the optimal rib plate angle combination.
[0057] In one embodiment, the multi-objective topology optimization method for the machine tool column structure provided by the embodiment of the present application can further include: Step 810, taking the maximization of the first-order frequency and the second-order frequency and the minimization of the column forward inclination deformation information as the optimization target; Step 820, taking the column rib plate angle and the degree range as the optimization variable; the degree range is the angle range corresponding to the column rib plate angle; Step 830, determining a constraint condition based on a preset minimum frequency and the degree range; Step 840, optimizing the angles of the internal rib plates of the column based on the optimization target, the optimization variable, and the constraint condition to obtain an optimal angle combination.
[0058] Specifically, the multi-objective optimization of the web angle is shown as formula 4, and the design variables are shown as formula 5, wherein, is a design variable, and represents 4 key optimization parameters; is the maximum deformation of the optimized column guide rail; is the first-order frequency of the optimized column; is the second-order frequency of the optimized column.
[0059] ; (4) ; (5) ; (6) The constraint condition provided by the application is shown as formula 6, wherein, is the maximum deformation of the column guide rail before optimization; is the first-order frequency of the column before optimization; is the second-order frequency of the column before optimization; is the lower limit of variable optimization; is the upper limit of variable optimization. The column web angle is optimized by a finite element analysis program and a genetic algorithm to obtain an optimal web angle combination, then the column web angle is re-designed according to the optimization result, and the static and dynamic performance of the column before and after optimization is compared.
[0060] wherein, is a design variable, and represents 4 key optimization parameters, is the maximum deformation of the optimized column guide rail, is the first-order frequency of the optimized column, is the second-order frequency of the optimized column, is 46.471 μm, is 42 Hz, is 51.3 Hz, is the lower limit of the design variable optimization, is the upper limit of the design variable optimization.
[0061] The column is re-designed according to the optimization result, and the static and dynamic performance of the column before and after optimization is compared.
[0062] Please refer to Figure 8 , Figure 8 is a schematic diagram of the static deformation comparison of the column before and after optimization provided by the application.
[0063] Please refer to Figure 9 , Figure 9 is a schematic diagram of the first / second / third-order frequency of the original model provided by the application.
[0064] Reference Figure 10 ,Figure 10 is the first / second / third order frequency diagram after optimization provided by the application.
[0065] It is verified that the maximum deformation of the optimized column front tilt is changed from 46.471 mu m to 34.665 mu m, which is reduced by 25.4%; the first order frequency of the column is increased from 42 Hz to 51.484 Hz, which is increased by 22.6%; the second order frequency of the column is increased from 51.3 Hz to 57.822 Hz, which is increased by 12.7%; the mass of the column is reduced from 12655 Kg to 11185 Kg, which is reduced by 11.6%, and the optimization effect is remarkable.
[0066] The embodiment improves the adaptability of the optimized column in actual use by optimizing the angle of the column rib plate.
[0067] The multi-objective topology optimization device of the machine tool column structure provided by the application is described below, and the multi-objective topology optimization device of the machine tool column structure described below can be correspondingly referred to the multi-objective topology optimization method of the machine tool column structure described above.
[0068] Please refer to Figure 11 The application also provides a multi-objective topology optimization device of a machine tool column structure, comprising: A machine tool column three-dimensional model construction module 1101 is used for internal filling treatment and target feature deletion treatment on the three-dimensional structure of the machine tool column to obtain a target three-dimensional model; A target three-dimensional model analysis module 1102 is used for analyzing the target three-dimensional model to obtain column guide deformation information and column multi-order frequency; An optimization strategy determination module 1103 is used for determining an optimization strategy based on optimization constraints and optimization targets; the optimization constraints include column mass, column guide deformation information and column multi-order frequency; and the optimization target is total flexibility of the column in multiple working conditions; A reconstruction optimization module 1104 is used for reconstructing and optimizing the column internal rib at the load-bearing rib plate position based on the optimization strategy; the load-bearing rib plate position is determined based on the optimization area of the column interior.
[0069] Optionally, the target three-dimensional model analysis module comprises: A mesh independence verification unit is used for verifying the mesh independence of the target three-dimensional model defining material properties to obtain a target three-dimensional model with optimal mesh size; A multi-working condition analysis unit is used for analyzing the target three-dimensional model with optimal mesh size in multiple working conditions to obtain column guide deformation information corresponding to each working condition; A modal analysis unit is used for analyzing the target three-dimensional model with optimal mesh size to obtain column multi-order frequency.
[0070] Optionally, the optimization strategy determination module comprises: A multi-condition column total flexibility determination unit is configured to determine a multi-condition column total flexibility based on the weight coefficients of each condition and the flexibilities of each condition. An optimization target determination unit is configured to determine the multi-condition column total flexibility as an optimization target. An optimization constraint determination unit is configured to determine the determined post-optimization multi-order frequency, the pre- and post-optimization mass ratio, the maximum deformation of the column guide rail, and the unit material density as optimization constraints.
[0071] Optionally, the multi-objective topology optimization device for the machine tool column structure further comprises: An optimization region marking module is configured to mark the inside or outside of the column of the target three-dimensional model of the optimal grid size as an optimization region. A topology optimization cloud map generation module is configured to generate a topology optimization cloud map based on the grid cell density distribution of the optimization region. A load-bearing rib plate position determination module is configured to determine the position of the load-bearing rib plate based on the topology optimization cloud map.
[0072] Optionally, the multi-objective topology optimization device for the machine tool column structure further comprises: A parameterized modeling module is configured to perform parameterized modeling on the angles of the reconstructed internal rib plates of the column to obtain a column parameterized model. A single-condition analysis module is configured to perform single-condition analysis on the column parameterized model to obtain column forward tilt deformation information, a first-order frequency, and a second-order frequency. An optimization variable determination module is configured to determine the column forward tilt deformation information, the first-order frequency, and the second-order frequency as optimization targets and determine the rib plate angles as optimization variables. A rib plate angle optimization module is configured to optimize the angles of the internal rib plates of the column based on the optimization targets and the optimization variables to obtain an optimal angle combination.
[0073] Optionally, the rib plate angle optimization module comprises: An optimization target determination unit is configured to determine the maximization of the first-order frequency and the second-order frequency and the minimization of the column forward tilt deformation information as optimization targets. An optimization variable determination unit is configured to determine the column rib plate angles and a degree range as optimization variables, the degree range being an angle range corresponding to the column rib plate angles. A constraint condition determination unit is configured to determine a constraint condition based on a preset minimum frequency and the degree range. An optimal angle combination determination unit is configured to optimize the angles of the internal rib plates of the column based on the optimization targets, the optimization variables, and the constraint condition to obtain an optimal angle combination.
[0074] Figure 12 An example is a schematic diagram of the physical structure of an electronic device, such as... Figure 12 As shown, the electronic device may include: a processor 1210, a communication interface 1220, a memory 1230, and a communication bus 1240, wherein the processor 1210, the communication interface 1220, and the memory 1230 communicate with each other through the communication bus 1240. The processor 1210 can call logical instructions in the memory 1230 to execute a multi-objective topology optimization method for the machine tool column structure. The method includes: performing internal filling processing and target feature deletion processing on the three-dimensional structure of the machine tool column to obtain a target three-dimensional model; analyzing the target three-dimensional model to obtain column guide rail deformation information and column multi-order frequencies; determining an optimization strategy based on optimization constraints and optimization objectives; the optimization constraints include column mass, column guide rail deformation information, and column multi-order frequencies; the optimization objective is the total flexibility of the column under multiple working conditions; and reconstructing and optimizing the internal stiffeners of the column at the position of the load-bearing stiffener based on the optimization strategy; the position of the load-bearing stiffener is determined based on the optimization region inside the column.
[0075] Furthermore, the logical instructions in the aforementioned memory 1230 can be implemented as software functional units and, when sold or used as independent products, can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, essentially, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of the present invention. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.
[0076] In another aspect, the present application also provides a computer program product comprising a computer program, which can be stored on a non-transitory computer readable storage medium, and the computer program is executable by a processor to enable a computer to perform the machine tool column structure multi-objective topology optimization method provided by the above-mentioned methods, which comprises: performing internal filling processing and target feature deletion processing on a three-dimensional structure of a machine tool column to obtain a target three-dimensional model; analyzing the target three-dimensional model to obtain column guide rail deformation information and column multi-order frequency; determining an optimization strategy based on optimization constraints and optimization objectives; the optimization constraints comprise column mass, the column guide rail deformation information and the column multi-order frequency; the optimization objectives are total column flexibility in multiple working conditions; and reconstructing and optimizing column internal rib plates at a load-bearing rib plate position based on the optimization strategy; the load-bearing rib plate position is determined based on an optimization region inside the column.
[0077] In another aspect, the present application also provides a non-transitory computer readable storage medium having a computer program stored thereon, which is executable by a processor to implement the machine tool column structure multi-objective topology optimization method provided by the above-mentioned methods, which comprises: performing internal filling processing and target feature deletion processing on a three-dimensional structure of a machine tool column to obtain a target three-dimensional model; analyzing the target three-dimensional model to obtain column guide rail deformation information and column multi-order frequency; determining an optimization strategy based on optimization constraints and optimization objectives; the optimization constraints comprise column mass, the column guide rail deformation information and the column multi-order frequency; the optimization objectives are total column flexibility in multiple working conditions; and reconstructing and optimizing column internal rib plates at a load-bearing rib plate position based on the optimization strategy; the load-bearing rib plate position is determined based on an optimization region inside the column.
[0078] The apparatus embodiments described above are merely illustrative, wherein the units described as separate components can or can not be physically separate, and the components displayed as units can or can not be physical units, i.e., can be located in one place, or can be distributed on multiple network units. Part or all of the modules can be selected to achieve the purpose of the present embodiment scheme according to actual needs. Those skilled in the art can understand and implement without creative labor.
[0079] Those skilled in the art can clearly understand the technical solutions of the various embodiments from the above description of the embodiments, and the various embodiments can be implemented by means of software with the necessary general hardware platforms, and of course, can also be implemented by hardware. Based on such understanding, the above technical solutions, essentially or in other words, the part of the prior art that makes a contribution, can be embodied in the form of a software product, which can be stored in a computer readable storage medium, such as a ROM / RAM, a magnetic disk, an optical disk, and the like, and includes a number of instructions for causing a computer device (which can be a personal computer, a server, or a network device, etc.) to execute the methods described in the various embodiments or some parts of the embodiments.
[0080] Finally, it should be noted that: the above embodiments are only used to illustrate the technical solutions of the present application, rather than limit them; although the present application has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that: it can still modify the technical solutions recorded in the foregoing embodiments, or make equivalent replacement for some technical features therein; and these modifications or replacements do not make the essence of the corresponding technical solutions deviate from the spirit and scope of the technical solutions of the embodiments of the present application.
Claims
1. A multi-objective topology optimization method for a machine tool column structure, characterized by, The method comprises the following steps: internal filling and target feature deletion are performed on a three-dimensional structure of a machine tool column to obtain a target three-dimensional model; column guide rail deformation information and column multi-order frequency are obtained by analyzing the target three-dimensional model; an optimization strategy is determined based on optimization constraints and optimization objectives; the optimization constraints include column mass, column guide rail deformation information and column multi-order frequency; the optimization objective is total column flexibility under multiple working conditions; the column internal rib plate at the position of the load-bearing rib plate is reconstructed and optimized based on the optimization strategy; the position of the load-bearing rib plate is determined based on the optimization area inside the column.
2. The multi-objective topology optimization method of a machine tool column structure according to claim 1, characterized in that, The analysis of the target three-dimensional model to obtain column guide rail deformation information and column multi-order frequency comprises: grid independence verification is performed on the target three-dimensional model defining material properties to obtain a target three-dimensional model with optimal grid size; multi-condition analysis is performed on the target three-dimensional model with optimal grid size to obtain column guide rail deformation information corresponding to each working condition; modal analysis is performed on the target three-dimensional model with optimal grid size to obtain column multi-order frequency.
3. The multi-objective topology optimization method of a machine tool column structure according to claim 1, characterized in that, The determination of the optimization strategy based on optimization constraints and optimization objectives comprises: total column flexibility under multiple working conditions is determined based on working condition weight coefficients and working condition flexibility; the total column flexibility under multiple working conditions is taken as the optimization objective; the determined post-optimization multi-order frequency, the mass ratio before and after optimization, the maximum deformation of the column guide rail and the unit material density are taken as optimization constraints.
4. The multi-objective topology optimization method of a machine tool column structure according to claim 2, characterized in that, The multi-objective topology optimization method of the machine tool column structure further comprises: the inside or outside of the column of the target three-dimensional model with optimal grid size is marked as an optimization area; a topology optimization cloud chart is generated based on the grid cell density distribution of the optimization area; the position of the load-bearing rib plate is determined based on the topology optimization cloud chart.
5. The multi-objective topology optimization method of a machine tool column structure according to claim 1, characterized in that, The reconstruction and optimization of the column internal rib plate at the position of the load-bearing rib plate based on the optimization strategy further comprises: parametric modeling is performed on the angle of the reconstructed column internal rib plate to obtain a column parametric model; single-condition analysis is performed on the column parametric model to obtain column forward tilt deformation information, first-order frequency and second-order frequency; the column forward tilt deformation information, the first-order frequency and the second-order frequency are taken as optimization objectives, and the rib plate angle is taken as an optimization variable; the angle of the column internal rib plate is optimized based on the optimization objectives and the optimization variable to obtain an optimal angle combination.
6. The multi-objective topology optimization method of a machine tool column structure according to claim 5, characterized in that, The optimization of the angle of the column internal rib plate based on the optimization objectives and the optimization variable to obtain an optimal angle combination comprises: the maximization of the first-order frequency and the second-order frequency and the minimization of the column forward tilt deformation information are taken as optimization objectives; the column rib plate angle and the degree range are taken as optimization variables; the degree range is an angle range corresponding to the column rib plate angle; a constraint condition is determined based on a preset minimum frequency and the degree range; the angle of the column internal rib plate is optimized based on the optimization objectives, the optimization variables and the constraint condition to obtain an optimal angle combination.
7. A multi-objective topology optimization apparatus for a machine tool column structure, characterized by, The method comprises the following steps: a machine tool column three-dimensional model construction module is configured to perform internal filling and target feature deletion on a three-dimensional structure of a machine tool column to obtain a target three-dimensional model; A target three-dimensional model analysis module is configured to analyze the target three-dimensional model to obtain column guide deformation information and column multi-order frequency. An optimization strategy determination module is configured to determine an optimization strategy based on optimization constraints and an optimization target. The optimization constraints include column mass, the column guide deformation information, and the column multi-order frequency. The optimization target is total column flexibility in multiple working conditions. A reconstruction optimization module is configured to perform reconstruction optimization on column internal rib plates at load-bearing rib plate positions based on the optimization strategy. The load-bearing rib plate positions are determined based on an optimization region inside the column.
8. An electronic device comprising a memory, a processor, and a computer program stored on the memory and running on the processor, characterized in that, The processor executes the computer program to implement the multi-objective topology optimization method of the machine tool column structure according to any one of claims 1 to 6. 9.A non-transitory computer-readable storage medium having stored thereon a computer program, characterized in that, The computer program is executed by the processor to implement the multi-objective topology optimization method of the machine tool column structure according to any one of claims 1 to 6.
10. A computer program product comprising a computer program, characterized in that, The computer program is executed by the processor to implement the multi-objective topology optimization method of the machine tool column structure according to any one of claims 1 to 6.
Citation Information
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