Rolling linear guide rail numerical analysis method and system based on comprehensive error import

Abstract

The invention provides a rolling linear guide rail numerical analysis method and system based on comprehensive error import, and belongs to the technical field of rolling linear guide rail thermal coupling parameter numerical analysis. Comprising the following steps: firstly, uniformly converting a comprehensive error into a ball and raceway interference magnitude parameter to calculate a comprehensive interference magnitude, solving a normal load borne by the ball based on a normal load formula, and further determining the heat flux density of a contact area of the rolling linear guide rail and a convective heat transfer coefficient of each surface; then, a steady-state temperature field is solved by constructing a heat conduction model of the rolling linear guide rail; and finally, constructing a structural finite element model consistent with the node number in the heat conduction model, and importing a steady-state temperature field to carry out finite element numerical analysis. According to the method, the rolling linear guide rail load deformation parameters better conforming to the actual working conditions can be obtained, and the calculation accuracy of the rolling linear guide rail value is improved.

Description

Technical Field

[0001] This invention belongs to the field of numerical analysis technology of thermo-mechanical coupling parameters of rolling linear guides, and particularly relates to a numerical analysis method and system for rolling linear guides based on comprehensive error import. Background Technology

[0002] The statements in this section are merely background information related to the present invention and do not necessarily constitute prior art.

[0003] As CNC machine tools advance towards higher precision, the importance of rolling linear guides, as core supporting and guiding components, is becoming increasingly prominent. The inevitable machining and installation errors in rolling linear guides affect the thermo-mechanical coupling characteristics of the guide system, thus significantly impacting the overall machining accuracy of the machine tool. Therefore, applying numerical calculation methods that better reflect actual working conditions to analyze the thermo-mechanical coupling characteristics of rolling linear guides is of significant value.

[0004] Rolling linear guides operate in a thermally stable state for extended periods, making it difficult to study their mechanical properties experimentally. Numerical calculation methods, however, can effectively reduce research costs, save time, and are not limited by geographical location. Furthermore, they are unaffected by the precision of testing equipment or the experimental environment, resulting in highly reproducible and more stable results. Therefore, applying numerical calculation methods to study the thermo-mechanical coupling characteristics of rolling linear guides has become a mainstream approach.

[0005] However, existing methods for analyzing the thermo-mechanical coupling characteristics of rolling linear guides based on numerical calculations generally have some technical problems, such as: (1) When performing finite element numerical calculation analysis of rolling linear guides, it is necessary to establish a more accurate finite element numerical calculation model of the linear guide. However, the existing finite element numerical calculation method for rolling linear guides treats the processing and installation of ball linear guides as an ideal state. The results obtained by the numerical analysis method under this ideal state differ greatly from the actual working conditions, thus affecting the accuracy of the performance prediction of rolling linear guides.

[0006] (2) The existing method analyzes the temperature field and the mechanical field separately. The actual error in the mechanical field will affect the contact area half shaft, sliding speed and the geometry of the exposed surface of each component of the rolling linear guide, which will lead to errors in the calculation of heat flux density and convective heat transfer coefficient related to the temperature field, and thus affect the accuracy of the deformation prediction of the rolling linear guide. Summary of the Invention

[0007] To overcome the shortcomings of the prior art, this invention provides a numerical analysis method and system for rolling linear guides based on comprehensive error import, which can obtain load deformation parameters of rolling linear guides that are more consistent with actual working conditions, thereby improving the calculation accuracy of rolling linear guide numerical values.

[0008] To achieve the above objectives, one or more embodiments of the present invention provide the following technical solutions: The first aspect of this invention provides a numerical analysis method for rolling linear guides based on comprehensive error import.

[0009] Numerical analysis methods for rolling linear guides based on comprehensive error import include: The preload, raceway center distance machining error, guide rail installation error, and ball diameter machining error are uniformly converted into ball-raceway interference parameters to calculate the overall interference. Based on the obtained comprehensive interference, the normal load borne by the ball is calculated according to the normal load formula; and based on the obtained normal load, the heat flux density of the contact area of ​​the rolling linear guide and the convective heat transfer coefficient of each surface are determined. A thermal conductivity model of a rolling linear guide is constructed, and the steady-state temperature field is solved by applying the obtained heat flux density in the contact area and the convective heat transfer coefficient of each surface. Construct a structural finite element model with the same node numbers as the thermal conductivity model, and use the comprehensive interference as the contact interference; import the steady-state temperature field into the structural finite element model, and perform finite element numerical analysis on the rolling linear guide.

[0010] Furthermore, based on the normal load, the heat flux density of the contact area of ​​the rolling linear guide is determined, including: calculating the combined frictional force in the elliptical contact area between the ball and the raceway and in the rolling linear guide, respectively, based on the normal load; and determining the heat flux density of the contact area of ​​the rolling linear guide, i.e., the heat flux density of the contact area between the ball and the raceway, based on the obtained elliptical contact area half-axis and combined frictional force, combined with the sliding speed of the ball in the raceway contact area.

[0011] Furthermore, based on the normal load, the convective heat transfer coefficient of each surface of the rolling linear guide is determined, including: calculating the convective heat transfer coefficient based on the characteristic length of each heat dissipation surface of the rolling linear guide, combined with the air thermal conductivity under the heat flux density in the contact area and the Nusselt number.

[0012] Furthermore, a thermal conductivity model for the rolling linear guide is constructed, including: modeling the slider, guide raceway, and ball components of the rolling linear guide separately, assigning material properties to each component and meshing them; applying contact properties to the balls, slider, and guide raceway, and applying thermal conductivity properties to the contact properties.

[0013] Furthermore, the solution of the steady-state temperature field includes: applying the obtained heat flux density of the contact area to the ball surface as a heat load, applying the obtained convective heat transfer coefficient of each surface to the surface of each component, and performing a steady-state heat conduction solution.

[0014] Furthermore, a structural finite element model is constructed, including: modeling the slider, guide rail raceway, and ball bearing components of the rolling linear guide separately, assigning material properties to each component and meshing them; ensuring that the node numbers of each mesh are consistent with the node numbers in the heat conduction model, and assembling the components; while assembling the model, adding constraints to the structural finite element model and applying vertical loads.

[0015] Furthermore, the steady-state temperature field is imported into the structural finite element model to perform finite element numerical analysis on the rolling linear guide, including: applying the temperatures of each node contained in the steady-state temperature field to the structural finite element model in the form of a predefined field to obtain the deformation data of the slider component under different loads, and performing finite element analysis on the rolling linear guide based on the obtained deformation data.

[0016] The second aspect of the present invention provides a numerical analysis system for rolling linear guides based on comprehensive error import.

[0017] A numerical analysis system for rolling linear guides based on comprehensive error import includes: The interference parameter conversion module is configured to convert the preload, raceway center distance machining error, guide rail installation error, and ball diameter machining error into ball-raceway interference parameters to calculate the overall interference. The heat flux density and convective heat transfer coefficient calculation module is configured to: calculate the normal load borne by the ball based on the obtained comprehensive interference and the normal load formula; and determine the heat flux density of the contact area and the convective heat transfer coefficient of each surface of the rolling linear guide based on the obtained normal load. The thermal conductivity model building module is configured to: build a thermal conductivity model of the rolling linear guide rail, and solve the steady-state temperature field by applying the obtained heat flux density in the contact area and the convective heat transfer coefficient of each surface; The finite element analysis module is configured to: construct a structural finite element model with the same node numbers as the thermal conductivity model, and use the comprehensive interference as the contact interference; import the steady-state temperature field into the structural finite element model, and perform finite element numerical analysis on the rolling linear guide. A third aspect of the present invention provides a computer-readable storage medium having a program stored thereon, which, when executed by a processor, implements the steps in the numerical analysis method for rolling linear guides based on comprehensive error import as described in the first aspect of the present invention.

[0018] The fourth aspect of the present invention provides an electronic device, including a memory, a processor, and a program stored in the memory and executable on the processor, wherein the processor executes the program to implement the steps in the numerical analysis method for rolling linear guides based on comprehensive error import as described in the first aspect of the present invention.

[0019] The above one or more technical solutions have the following beneficial effects: (1) This invention unifies the preload, raceway center distance machining error, guide rail installation error, and ball diameter machining error into the interference parameters between the ball and the raceway to calculate the comprehensive interference. Through this quantitative conversion mechanism of error parameters, the structural finite element model can directly reflect the influence of errors on the contact state. Compared with the prior art, it can introduce various real errors existing in the machining and installation process of the ball linear guide, and on this basis, perform finite element modeling and finite element numerical analysis. The results obtained are more consistent with the actual working conditions, and the load deformation parameters of the rolling linear guide that are more consistent with the actual working conditions can be obtained, thereby improving the calculation accuracy of the rolling linear guide values.

[0020] (2) Based on the comprehensive interference and normal load formula after comprehensive error conversion, this invention solves the normal load borne by the ball, and then determines the heat flux density of the contact area and the convective heat transfer coefficient of each surface of the rolling linear guide. Subsequently, a thermal conductivity model of the rolling linear guide is constructed, and the steady-state temperature field is solved by applying the obtained heat flux density of the contact area and the convective heat transfer coefficient of each surface. Thus, this invention realizes the bidirectional coupling calculation of error and thermodynamic field, that is: the changes in the contact ellipse semi-axis and sliding speed caused by error can be included in the heat flux density calculation to avoid the problem of neglecting the heat generation calculation deviation caused by error in existing methods; and the convective heat transfer coefficient can be dynamically corrected according to the surface geometric changes caused by guide installation error. In addition, this invention imports the temperature field into the mechanical model in the form of a predefined field, and at the same time uses the interference converted by error as the initial condition for thermodynamic coupling, which can form a closed-loop calculation of "error-heat generation-deformation-error feedback".

[0021] Advantages of additional aspects of the invention will be set forth in part in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. Attached Figure Description

[0022] The accompanying drawings, which form part of this invention, are used to provide a further understanding of the invention. The illustrative embodiments of the invention and their descriptions are used to explain the invention and do not constitute an improper limitation of the invention.

[0023] Figure 1 This is a flowchart of the numerical analysis method for rolling linear guides based on comprehensive error import in Embodiment 1 of the present invention.

[0024] Figure 2 This is a schematic diagram illustrating various errors in Embodiment 1 of the present invention; wherein, Figure 2 (a) in the diagram is a schematic diagram of the error caused by the preload. Figure 2 (b) in the diagram is a schematic diagram of ball bearing machining error. Figure 2(c) in the diagram is a schematic diagram of raceway machining error. Figure 2 (d) in the figure is a schematic diagram of guide rail installation error.

[0025] Figure 3 This is a heat flux density distribution diagram of the contact area between the ball and the raceway under different loads in Embodiment 1 of the present invention; wherein, Figure 3 In the figure, (a) represents the heat flux density of the contact area of ​​each ball in the upper row, considering only the preload error. Figure 3 (b) is the heat flux density of each ball contact area in the upper row considering the comprehensive error.

[0026] Figure 4 This is a schematic diagram of the finite element numerical calculation model and the position of interference application in Embodiment 1 of the present invention.

[0027] Figure 5 This is a schematic diagram of the temperature distribution on the surface of the slider skirt under different loads in Embodiment 1 of the present invention; wherein, Figure 5 In the figure, (a) represents the surface temperature of the slider side considering only the effect of preload under different loads. Figure 5 (b) in the figure represents the surface temperature of the slider side considering the influence of the overall error.

[0028] Figure 6 This is a schematic diagram of the horizontal thermal coupling displacement of the slider side surface in Embodiment 1 of the present invention; wherein, Figure 6 In the figure, (a) represents the horizontal deformation of the slider skirt considering only the effect of preload under different loads. Figure 6 (b) represents the horizontal deformation of the slider skirt under different loads, taking into account the combined error effect. Detailed Implementation

[0029] It should be noted that the following detailed descriptions are exemplary and intended to provide further illustration of the invention. Unless otherwise specified, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention pertains.

[0030] It should be noted that the terminology used herein is for the purpose of describing particular implementations only and is not intended to limit the exemplary implementations of the present invention.

[0031] Where there is no conflict, the embodiments and features in the embodiments of the present invention can be combined with each other.

[0032] Example 1 This embodiment discloses a numerical analysis method for rolling linear guides based on comprehensive error import.

[0033] like Figure 1 As shown, the numerical analysis method for rolling linear guides based on comprehensive error import includes: Step S1: Convert the preload, raceway center distance machining error, guide rail installation error, and ball diameter machining error into ball-raceway interference parameters to calculate the overall interference. Step S2: Based on the obtained comprehensive interference, calculate the normal load borne by the ball according to the normal load formula; and determine the heat flux density of the contact area of ​​the rolling linear guide and the convective heat transfer coefficient of each surface according to the obtained normal load. Step S3: Construct a thermal conductivity model of the rolling linear guide rail, and solve the steady-state temperature field by applying the obtained heat flux density in the contact area and the convective heat transfer coefficient of each surface. Step S4: Construct a structural finite element model with the same node numbers as the thermal conductivity model, and use the comprehensive interference as the contact interference; import the steady-state temperature field into the structural finite element model, and perform finite element numerical analysis on the rolling linear guide.

[0034] Based on the above method, the present invention can obtain load deformation parameters of rolling linear guides that better conform to actual working conditions, thereby improving the calculation accuracy of rolling linear guide values. To facilitate understanding of the technical solution of the present invention, the specific implementation methods of the technical solution of the present invention will be further explained and described below.

[0035] In step S1, the preload, raceway center distance machining error, guide rail installation error, and ball diameter machining error are uniformly converted into ball-raceway interference parameters to calculate the overall interference. This can be achieved through the following method: 1) Convert the preload of the rolling linear guide into the interference fit between the balls and the raceway, i.e.: ; in, The preload is converted into a one-sided interference fit between the balls and the raceway; It is a stiffness coefficient, which is related to the material properties of the guide rail system, and is a fixed value within the same model. Indicates the first caused by preload. i List j Deformation caused by the number of ball bearings Indicates the first i List j The preload force borne by the numbered ball.

[0036] It should be noted that since the main characteristic of ball bearing machining error is the ball diameter, ball bearing machining error is essentially diameter error. .

[0037] 2) Convert the machining error of the raceway center distance between the slider and the guide rail in the rolling linear guide into the interference fit between the ball and the raceway, that is: ; ; in, These are the machining errors of the center distance between the guide rail raceways and the machining errors of the center distance between the sliders, respectively. The machining error of the center distance of the guide rail raceway is converted into the interference fit between the ball and the raceway, and the machining error of the center distance of the slider raceway is converted into the interference fit between the ball and the raceway. The center distance error of the raceway under the guide rail and slider is converted into the interference fit between the ball and the raceway. Since the guide rail system is symmetrical, it should be halved. This indicates the initial contact angle of the ball.

[0038] 3) Convert the ball machining error of the rolling linear guide into the interference fit between the ball and the raceway, i.e.: ; in, These are the horizontal and vertical installation errors of the guide rail, respectively. The horizontal and vertical installation errors of the guide rail are converted into interference fits between the balls and the raceway.

[0039] 4) Convert the overall error into the interference fit between the balls and raceways, i.e., the overall interference fit: ; in, The machining error of the ball diameter can be directly converted into the interference fit between the ball and the raceway; The overall error is replaced by the interference parameter between the balls and the raceway, i.e., the overall interference.

[0040] In step S2, based on the obtained comprehensive interference, the normal load borne by the ball is calculated according to the normal load formula; and based on the obtained normal load, the heat flux density of the contact area of ​​the rolling linear guide and the convective heat transfer coefficient of each surface are determined.

[0041] First, based on the obtained comprehensive interference, and using the normal load formula, the normal load borne by the ball bearing is calculated, i.e.: ; in, This refers to the normal load borne by a single ball in the upper row; denoted as , where is the external load borne by the slider; n is the number of balls in a single row in the load-bearing area.

[0042] Subsequently, based on the normal load, the heat flux density of the contact area of ​​the rolling linear guide is determined, including: calculating the combined frictional force in the elliptical contact area between the ball and the raceway and the combined frictional force in the rolling linear guide, based on the obtained elliptical contact area half-axis and combined frictional force, combined with the sliding speed of the ball in the raceway contact area, to determine the heat flux density of the contact area of ​​the rolling linear guide, that is, the heat flux density of the contact area between the ball and the raceway, specifically: 1) Based on the external load and preload of the rolling linear guide, calculate the half-axis of the elliptical contact area between the balls and the raceway, i.e.: ; Among them, a ij b is the long semi-shaft of the contact area between the ball and the raceway; ij The short half-shaft is the contact area between the ball and the raceway; It is the equivalent elastic modulus; To contact the eccentricity of the ellipse, This is a complete elliptic integral of the second kind; This represents the combined curvature of the ball bearings and raceways.

[0043] 2) Calculate the main frictional forces in the rolling linear guide, including sliding friction, rolling friction torque, and elastic hysteresis friction. The calculation method is as follows: ; in, This refers to the frictional force between the ball and the raceway. The position coefficient of the ball when it is rolling purely on the raceway determines the shape of the contact ellipse. 0.348 can be used as an empirical value. The diameter of the ball bearing; This is the elastic loss coefficient; This represents the frictional force caused by sliding motion. This represents the frictional force caused by rolling motion. This represents the frictional force caused by elastic hysteresis.

[0044] 3) Calculate the sliding speed of the ball in the raceway contact area. The calculation method is as follows: ; in, These are the rolling speed of the ball in the contact area of ​​the slider raceway and the raceway movement speed, respectively. , These are the angular velocities of the ball bearings. Projection along the x-axis and z-axis; The contact angle between the ball and the raceway; The surface curvature of the elliptical contact region; This is the distance between the major axis of the contact area ellipse and the center of the ellipse.

[0045] 4) The heat flux density in the contact area between the rolling linear guide ball and the raceway is calculated using the following formula: ; in, These are the heat flux densities caused by sliding friction, rolling friction torque, and elastic hysteresis friction, respectively. Represents the total heat flux density. This indicates the rolling speed of the balls in the contact area of ​​the guide rail raceway. This indicates the contact area between the ball and the raceway. This indicates the angular velocity of the ball's spin motion.

[0046] The convective heat transfer coefficient of each surface of the rolling linear guide is determined based on the normal load, including: calculating the convective heat transfer coefficient based on the characteristic length of each heat dissipation surface of the rolling linear guide, combined with the air thermal conductivity under the heat flux density in the contact area and the Nusselt number.

[0047] Specifically, the convective heat transfer coefficient of each exposed surface is calculated using the following method: ; In the formula, It represents the convective heat transfer coefficient between the surface of the component and the air. The thermal conductivity of air; The characteristic length of the heat dissipation surface; For Nuschelt numbers, and . and These are Prandtl number and Reynolds number, respectively, derived from the formula , Given; among which, , , and These are the specific heat capacity, dynamic viscosity, flow velocity, and kinematic viscosity of air, respectively.

[0048] In step S3, a thermal conductivity model of the rolling linear guide is constructed, and the steady-state temperature field is solved by applying the obtained heat flux density in the contact area and the convective heat transfer coefficient of each surface.

[0049] The thermal conductivity model of the rolling linear guide is constructed, including: modeling the slider, guide raceway and ball components of the rolling linear guide separately, assigning material properties to each component and meshing them; applying contact properties to the ball, slider and guide raceway, with the contact mode being surface-to-surface contact; and applying thermal conductivity properties to the contact properties.

[0050] Subsequently, the steady-state temperature field is solved, including: applying the obtained heat flux density of the contact area to the ball surface as a heat load, applying the obtained convective heat transfer coefficient of each surface to the surface of each component, thereby simulating the heat generated by friction between the ball and the raceway in the contact area, as well as the heat exchange between each surface exposed to the air and the air, so that the numerical calculation is more in line with the actual working conditions, and the steady-state heat conduction solution is performed.

[0051] In step S4, a structural finite element model with the same node number as the thermal conductivity model is constructed, and the comprehensive interference is used as the contact interference; the steady-state temperature field is imported into the structural finite element model, and finite element numerical analysis is performed on the rolling linear guide.

[0052] The structural finite element model is constructed, including: modeling the slider, guide rail raceway, and ball bearing components of the rolling linear guide separately, assigning material properties to each component and meshing them; ensuring that the node numbers of each mesh are consistent with the node numbers in the heat conduction model, and assembling the components; while assembling the model, adding constraints to the structural finite element model, specifically: applying symmetry constraints to the slider and guide rail symmetry planes in the "Load" module's "Boundary Condition Manager," applying a fully fixed constraint to the bottom surface of the guide rail component, applying a sliding direction degree of freedom constraint to the top surface of the slider component, and applying a vertical load. Contact properties are applied to the ball bearings with the slider and guide rail raceway, using a surface-to-surface contact method, and applying an interference fit in the contact properties, with the interference fit on one side of the ball bearings being [value missing]. .

[0053] Importing the steady-state temperature field into the structural finite element model and performing finite element numerical analysis on the rolling linear guide includes: creating a predefined field in the "Predefined Field Manager" of the "Load" module, selecting the overall structural finite element model, importing the temperatures of each node contained in the steady-state temperature field result file into the analysis step, applying the temperatures of each node contained in the steady-state temperature field to the structural finite element model in the form of a predefined field, obtaining the deformation data of the slider component under different loads, and performing finite element analysis on the rolling linear guide based on the obtained deformation data.

[0054] To further demonstrate the superiority of this invention, this embodiment takes a certain type of rolling linear guide as an example, and converts its preload, raceway center distance error, guide rail installation error, and ball diameter machining error parameters. The geometric parameters obtained from the product manual are as follows: The preload is 5.2 kN, referencing... Figure 2 :like Figure 2 As shown in Figure (a), the ball bearing machining accuracy grade is G16, corresponding to a dimensional error of 0.8µm; Figure 2 As shown in Figure (b), the center distance error of the guide rail raceway is 0.01 mm, and the center distance error of the slider raceway is 0.01 mm; Figure 2 As shown in Figure (c), the horizontal installation error of the guide rail is 0.01mm, and the vertical installation error of the guide rail is 0.01mm; Figure 2 As shown in Figure (d), the ball contact angle is 45° and the stiffness coefficient is 840 / KN·mm. -3 / 2 .

[0055] By converting the above errors and geometric parameters into ball and raceway interference parameters, the converted preload interference is 7.8 μm, the converted center distance error interference is 7.07 μm, the converted horizontal guide rail installation error interference is 7.07 μm, and the converted vertical guide rail installation error interference is 7.07 μm.

[0056] Under the above experimental conditions, the heat flux density of the upper row of balls in contact with the raceway was calculated at a slider running speed of 2 m / min under load conditions of 5.2 kN, 11.2 kN, 13.2 kN, 15.2 kN, and 17.2 kN (all including the preload of 5.2 kN). The calculation results are as follows. Figure 3 The comparison of heat flux density in the contact area of ​​each ball bearing in the upper row under different load conditions, considering only preload and considering comprehensive error, is shown. Figure 3 (a) shows the heat flux density of the upper ball contact area considering only the preload error. It can be seen that the heat flux density of the ball contact area increases with the increase of the load. For every 2 kN increase in external load on the guide rail system, the heat flux density of the ball contact area increases by approximately 78.76 W / m. 2 ; Figure 3 (b) Considering the heat flux density of each ball contact area in the upper row under the comprehensive error, it can be seen that the heat flux density of the ball contact area increases with the increase of load. For every 2 kN increase in external load on the guide rail system, the heat flux density of the ball contact area increases by approximately 79.83 W / m. 2 By comparison, it is easy to find that under the same load conditions, the heat flux density of the upper row of balls in the contact area considering the comprehensive error is greater than that of the upper row of balls in the contact area considering only the preload error.

[0057] A finite element numerical model was established based on the geometric parameters of the rolling linear guide. Due to the symmetry of the rolling linear guide and to reduce computational costs, the model was simplified to a single-sided model, and symmetry constraints were applied to the symmetry plane. The calculated errors were converted into ball interference parameters and applied to half of the contact area between the ball and the guide raceway, and between the ball and the slider raceway. The interference application locations and the finite element numerical model are as follows. Figure 4 As shown. Perform finite element thermal conductivity calculations and analyses, such as Figure 5 The slider side surface temperature is shown under different load conditions, considering only the preload and the comprehensive error. Figure 5 (a) The surface temperature of the slider side considering only the effect of preload under different loads. As shown in the figure, the temperatures at 10.5 mm from the top of the slider under loads of 5.2 KN to 17.2 KN are 20.21 ℃, 20.356 ℃, 20.399 ℃, 20.441 ℃ and 20.481 ℃, respectively. Figure 5(b) The surface temperature of the slider side considering the influence of comprehensive error is shown in the figure. It can be seen that under loads of 5.2 KN to 17.2 KN, the temperatures at a distance of 10.5 mm from the top of the slider are 20.226 ℃, 20.375 ℃, 20.419 ℃, 20.461 ℃, and 20.501 ℃, respectively. (Comparison) Figure 5 (a) and Figure 5 (b) It is easy to see that, under the same load conditions, the surface temperature of the slider skirt considering the combined geometric error at the same location is increased by 0.016 ℃, 0.019 ℃, 0.02 ℃, 0.02 ℃, and 0.02 ℃ respectively compared with the surface temperature of the slider skirt considering only the preload, with increases of 7.63%, 5.34%, 5%, 4.53%, and 4.16% respectively.

[0058] A thermo-mechanical coupling calculation analysis was performed. To analyze the influence of the deformation of the slider skirt on the overall error, a test line was taken from top to bottom on the middle of the slider's side surface. The X-direction displacement of the test line position was extracted and plotted as a curve. The x-axis represents the distance from the top of the slider, and the y-axis represents the displacement in the X-direction. Figure 6 As shown, Figure 6 (a) The horizontal deformation of the slider skirt under different loads, considering only the effect of preload. As shown in the figure, at a distance of 25 mm from the top of the slider, considering only the effect of preload, the X-direction displacements under loads of 5.2 KN to 17.2 KN are 0.0232 mm, 0.0282 mm, 0.0293 mm, 0.0303 mm and 0.0312 mm, respectively. At a distance of 55.5 mm from the top of the slider, considering only the effect of preload, the X-direction displacements under loads of 5.2 KN to 17.2 KN are 0.0287 mm, 0.0392 mm, 0.0414 mm, 0.0434 mm and 0.0452 mm, respectively. Figure 6 (b) The horizontal deformation of the slider skirt under different loads considering the influence of comprehensive error. As shown in the figure, at a distance of 25 mm from the top of the slider, considering the influence of comprehensive error, the X-direction displacements under loads of 5.2 KN to 17.2 KN are 0.0279 mm, 0.0322 mm, 0.0333 mm, 0.0343 mm and 0.0352 mm, respectively. At a distance of 55.5 mm from the top of the slider, considering the influence of comprehensive error, the X-direction displacements under loads of 5.2 KN to 17.2 KN are 0.0395 mm, 0.0483 mm, 0.0504 mm, 0.0525 mm and 0.0543 mm, respectively.

[0059] Example 2 This embodiment discloses a numerical analysis system for rolling linear guides based on comprehensive error import.

[0060] A numerical analysis system for rolling linear guides based on comprehensive error import includes: The interference parameter conversion module is configured to convert the preload, raceway center distance machining error, guide rail installation error, and ball diameter machining error into ball-raceway interference parameters to calculate the overall interference. The heat flux density and convective heat transfer coefficient calculation module is configured to: calculate the normal load borne by the ball based on the obtained comprehensive interference and the normal load formula; and determine the heat flux density of the contact area and the convective heat transfer coefficient of each surface of the rolling linear guide based on the obtained normal load. The thermal conductivity model building module is configured to: build a thermal conductivity model of the rolling linear guide rail, and solve the steady-state temperature field by applying the obtained heat flux density in the contact area and the convective heat transfer coefficient of each surface; The finite element analysis module is configured to: construct a structural finite element model with the same node numbers as the thermal conductivity model, and use the comprehensive interference as the contact interference; import the steady-state temperature field into the structural finite element model, and perform finite element numerical analysis on the rolling linear guide. Example 3 The purpose of this embodiment is to provide a computer-readable storage medium.

[0061] A computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps in the numerical analysis method for rolling linear guides based on comprehensive error import as described in Embodiment 1 of this disclosure.

[0062] Example 4 The purpose of this embodiment is to provide an electronic device.

[0063] An electronic device includes a memory, a processor, and a program stored in the memory and executable on the processor. When the processor executes the program, it implements the steps in the numerical analysis method for rolling linear guides based on comprehensive error import as described in Embodiment 1 of this disclosure.

[0064] The steps and methods involved in the apparatuses of Embodiments 2, 3, and 4 above correspond to those in Embodiment 1. For specific implementation details, please refer to the relevant description section of Embodiment 1. The term "computer-readable storage medium" should be understood as a single medium or multiple media including one or more instruction sets; it should also be understood as including any medium capable of storing, encoding, or carrying an instruction set for execution by a processor and enabling the processor to perform any of the methods in this invention.

[0065] Those skilled in the art will understand that the modules or steps of the present invention described above can be implemented using general-purpose computer devices. Optionally, they can be implemented using computer-executable program code, thereby allowing them to be stored in a storage device for execution by a computer device, or they can be fabricated as separate integrated circuit modules, or multiple modules or steps can be fabricated as a single integrated circuit module. The present invention is not limited to any particular combination of hardware and software.

[0066] While the specific embodiments of the present invention have been described above in conjunction with the accompanying drawings, this is not intended to limit the scope of protection of the present invention. Those skilled in the art should understand that various modifications or variations that can be made by those skilled in the art without creative effort based on the technical solutions of the present invention are still within the scope of protection of the present invention.

Claims

1. A numerical analysis method for rolling linear guides based on comprehensive error import, characterized in that, include: The preload, raceway center distance machining error, guide rail installation error, and ball diameter machining error are uniformly converted into ball-raceway interference parameters to calculate the overall interference. Based on the obtained comprehensive interference, the normal load borne by the ball is calculated according to the normal load formula; and based on the obtained normal load, the heat flux density of the contact area of ​​the rolling linear guide and the convective heat transfer coefficient of each surface are determined. A thermal conductivity model of a rolling linear guide is constructed, and the steady-state temperature field is solved by applying the obtained heat flux density in the contact area and the convective heat transfer coefficient of each surface. Construct a structural finite element model with the same node numbers as the thermal conductivity model, and use the comprehensive interference as the contact interference. The steady-state temperature field was imported into the structural finite element model to perform finite element numerical analysis on the rolling linear guide.

2. The numerical analysis method for rolling linear guides based on comprehensive error import as described in claim 1, characterized in that, The heat flux density of the contact area of ​​the rolling linear guide is determined based on the normal load, including: calculating the half-axis of the elliptical contact area between the ball and the raceway and the combined friction force in the rolling linear guide based on the normal load; and determining the heat flux density of the contact area of ​​the rolling linear guide, i.e., the heat flux density of the contact area between the ball and the raceway, based on the obtained half-axis of the elliptical contact area and the combined friction force, combined with the sliding speed of the ball in the raceway contact area.

3. The numerical analysis method for rolling linear guides based on comprehensive error import as described in any one of claims 1-2, characterized in that, The convective heat transfer coefficient of each surface of the rolling linear guide is determined based on the normal load, including: calculating the convective heat transfer coefficient based on the characteristic length of each heat dissipation surface of the rolling linear guide, combined with the air thermal conductivity under the heat flux density in the contact area and the Nusselt number.

4. The numerical analysis method for rolling linear guides based on comprehensive error import as described in claim 1, characterized in that, The thermal conductivity model of the rolling linear guide is constructed, including: modeling the slider, guide raceway and ball components of the rolling linear guide separately, assigning material properties to each component and meshing them; applying contact properties to the ball, slider and guide raceway, and applying thermal conductivity properties to the contact properties.

5. The numerical analysis method for rolling linear guides based on comprehensive error import as described in claim 1, characterized in that, The solution of the steady-state temperature field includes: applying the obtained heat flux density of the contact area to the ball surface as a heat load, applying the obtained convective heat transfer coefficient of each surface to the surface of each component, and performing a steady-state heat conduction solution.

6. The numerical analysis method for rolling linear guides based on comprehensive error import as described in claim 1, characterized in that, The structural finite element model is constructed as follows: the slider, guide rail raceway and ball bearing components of the rolling linear guide are modeled separately, and material properties are assigned to each component and mesh is generated; the node numbers of each mesh are kept consistent with the node numbers in the heat conduction model, and the components are assembled; while assembling the model, constraints are added to the structural finite element model and vertical loads are applied.

7. The numerical analysis method for rolling linear guides based on comprehensive error import as described in claim 1, characterized in that, The steady-state temperature field is imported into the structural finite element model, and finite element numerical analysis is performed on the rolling linear guide. This includes: applying the temperatures of each node contained in the steady-state temperature field to the structural finite element model in the form of a predefined field to obtain the deformation data of the slider component under different loads, and performing finite element analysis on the rolling linear guide based on the obtained deformation data.

8. A numerical analysis system for rolling linear guides based on comprehensive error import, characterized in that, include: The interference parameter conversion module is configured to convert the preload, raceway center distance machining error, guide rail installation error, and ball diameter machining error into ball-raceway interference parameters to calculate the overall interference. The heat flux density and convective heat transfer coefficient calculation module is configured to: calculate the normal load borne by the ball based on the obtained comprehensive interference and the normal load formula; and determine the heat flux density of the contact area and the convective heat transfer coefficient of each surface of the rolling linear guide based on the obtained normal load. The thermal conductivity model building module is configured to: build a thermal conductivity model of the rolling linear guide rail, and solve the steady-state temperature field by applying the obtained heat flux density in the contact area and the convective heat transfer coefficient of each surface; The finite element analysis module is configured to: construct a structural finite element model with the same node numbers as the thermal conductivity model, and use the comprehensive interference as the contact interference. The steady-state temperature field was imported into the structural finite element model to perform finite element numerical analysis on the rolling linear guide.

9. A computer-readable storage medium having a program stored thereon, characterized in that, When the program is executed by the processor, it implements the steps in the numerical analysis method for rolling linear guides based on comprehensive error import as described in any one of claims 1-7.

10. An electronic device, comprising a memory, a processor, and a program stored in the memory and executable on the processor, characterized in that, When the processor executes the program, it implements the steps in the numerical analysis method for rolling linear guides based on comprehensive error import as described in any one of claims 1-7.

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