A method and system for calculating micro-texture geometric parameters of face gears

Abstract

The application discloses a face gear micro-texture geometric parameter calculation method and system, the face gear micro-texture geometric parameter calculation method comprises the following steps: constructing a plurality of first pit micro-texture geometric models based on contact characteristic parameters; performing rough surface elastic-plastic contact analysis based on a contact ellipse area, a first contact pressure and a first total friction force, to obtain a first surface stress field of each first pit micro-texture geometric model; calculating a first stress concentration coefficient of each first pit micro-texture geometric model; calculating a first film thickness ratio of each first pit micro-texture geometric model based on rough surface topography parameters and a first oil film thickness; and determining an optimal pit micro-texture geometric model through a preset screening condition based on the first film thickness ratio, the first stress concentration coefficient and a first friction coefficient corresponding to each first pit micro-texture geometric model, so that the lubrication performance of a friction pair surface is improved, friction and wear are reduced, and the service life of a face gear pair is prolonged.

Description

Technical Field

[0001] This application relates to the technical field of calculating the geometric parameters of microtextures in face gears, and in particular to a method and system for calculating the geometric parameters of microtextures in face gears. Background Technology

[0002] The relative sliding and complex, variable stress states experienced during the meshing of face gears inevitably lead to failure modes such as tooth surface wear and fatigue pitting. Reducing tooth surface contact friction and wear and improving lubrication characteristics are crucial for extending the service life of face gears. In recent years, biomimetic surface textures have been proven to effectively improve the lubrication performance of friction pair surfaces and reduce friction and wear. Texture geometry is an important parameter affecting tooth surface contact lubrication performance; different pit microtexture geometric models have significantly different friction-reducing effects on the interface.

[0003] In the existing technology, there is very little research on the pit texture of face gear pairs. Most studies only focus on the performance verification of a single pit microtexture geometric model for cylindrical gears. There is a lack of systematic comparison and screening of different pit microtexture geometric models, which limits the application effect of pit microtexture in improving the lubrication performance of face gear pairs. Summary of the Invention

[0004] This application aims to at least address the technical problems existing in the prior art. To this end, this application proposes a method and system for calculating the geometric parameters of microtexture on face gears. This method can select the optimal microtexture geometric model from different microtexture geometric models, thereby determining the optimal microtexture geometric parameters of the face gear pair, improving the lubrication performance of the friction pair surface, reducing friction and wear, and extending the service life of the face gear pair.

[0005] A first aspect of this application provides a method for calculating the geometric parameters of microtextures in face gears, comprising the following steps:

[0006] Obtain the rough surface morphology parameters, geometric parameters, and operating parameters of the face gear pair, wherein the face gear pair includes a face gear and a cylindrical gear;

[0007] Based on the geometric parameters and the operating parameters, the contact elliptical region and contact characteristic parameters of the meshing interface between the face gear and the cylindrical gear are determined.

[0008] Based on the contact characteristic parameters, several first pit microtexture geometric models are constructed, and the first contact pressure, first total friction force, first temperature, first friction coefficient and first oil film thickness of each first pit microtexture geometric model are calculated during the meshing process of the face gear and the cylindrical gear under the first contact pressure.

[0009] When the first contact pressure reaches the preset pressure convergence condition and the first temperature reaches the preset first temperature convergence condition, rough surface elastoplastic contact analysis is performed based on the contact elliptical region, the first contact pressure and the first total friction force to obtain the first surface stress field of each first pit microtexture geometric model.

[0010] Calculate the first stress concentration factor for each of the first pit microtexture geometric models based on the first surface stress field and the contact characteristic parameters;

[0011] The first film thickness ratio of each first pit microtexture geometric model is calculated based on the rough surface morphology parameters and the first oil film thickness.

[0012] Based on the first film thickness ratio, the first stress concentration coefficient, and the first friction coefficient, all the first pit microtexture geometric models are screened through preset screening conditions to obtain the optimal pit microtexture geometric model.

[0013] Obtain the microtexture geometric parameters of the optimal pit microtexture geometric model, and use the microtexture geometric parameters of the optimal pit microtexture geometric model as the microtexture geometric parameters of the face gear pair.

[0014] The method for calculating the geometric parameters of microtexture of face gears according to the embodiments of this application has at least the following beneficial effects:

[0015] This method obtains the rough surface morphology parameters, geometric parameters, and operating condition parameters of a face gear pair, which includes a face gear and a cylindrical gear. Based on the geometric parameters and operating condition parameters, the contact elliptical region and contact characteristic parameters of the meshing interface between the face gear and the cylindrical gear are determined. Several first-dimple microtexture geometric models are constructed based on the contact characteristic parameters, and the first contact pressure, first total friction force, first temperature, first friction coefficient, and first oil film thickness of each first-dimple microtexture geometric model during the meshing process of the face gear and cylindrical gear under the first contact pressure are calculated. When the first contact pressure reaches a preset pressure convergence condition and the first temperature reaches a preset first temperature convergence condition, a rough surface elastoplastic contact analysis is performed based on the contact elliptical region, first contact pressure, and first total friction force to obtain the first surface stress field of each first-dimple microtexture geometric model. The first stress concentration factor of each first-dimple microtexture geometric model is calculated based on the first surface stress field and contact characteristic parameters. The first stress concentration factor of each first-dimple microtexture geometric model is calculated based on the rough surface morphology parameters and the first oil film thickness. The first film thickness ratio of the model; based on the first film thickness ratio, the first stress concentration factor and the first friction coefficient, all first pit microtexture geometric models are screened through preset screening conditions to obtain the optimal pit microtexture geometric model; the microtexture geometric parameters of the optimal pit microtexture geometric model are obtained, and the microtexture geometric parameters of the optimal pit microtexture geometric model are used as the microtexture geometric parameters of the face gear pair. This application constructs several first pit microtexture geometric models with different morphologies through contact characteristic parameters, and then, based on the first contact pressure, first total friction force, first temperature, first friction coefficient and first oil film thickness of the first pit microtexture geometric model in the meshing process of the face gear and cylindrical gear, the optimal pit microtexture geometric model is screened from the first pit microtexture geometric models with different morphologies according to the first contact pressure, first total friction force, first temperature, first friction coefficient and first oil film thickness, thereby determining the optimal microtexture geometric parameters of the face gear pair, improving the lubrication performance of the friction pair surface, reducing friction and wear, and extending the service life of the face gear pair.

[0016] According to some embodiments of this application, the contact characteristic parameters include the entrainment speed, and determining the first contact pressure, first total friction force, first temperature, first coefficient of friction, and first oil film thickness of each first pit microtexture geometry model during the meshing process of the face gear and the cylindrical gear includes:

[0017] Obtain the boundary friction coefficient, the first rigid body displacement value, the lubricating oil ambient density, the thermal expansion rate of the lubricating oil, and the microtexture geometric parameters of each first pit microtexture geometric model;

[0018] The expression for the pressure-temperature equation is determined based on the ambient density of the lubricating oil and the thermal expansion coefficient of the lubricating oil.

[0019] The texture roughness surface parameter values ​​of each of the first pit microtexture geometric models are calculated based on the microtexture geometric parameters of the first pit microtexture geometric model and the roughness surface morphology parameters.

[0020] The surface contact elastic deformation value of the solution domain is determined by the Businsk integral, wherein the solution domain is a pre-defined calculation area during the meshing process;

[0021] The film thickness equation expression is determined based on the texture roughness surface parameter value, the surface contact elastic deformation value, the first rigid body displacement value, and the roughness surface morphology parameter.

[0022] The equivalent viscosity method expression is determined based on the contact characteristic parameters and the film thickness equation expression;

[0023] The first contact pressure, the first temperature, and the first oil film thickness are calculated based on the pressure-temperature equation, the film thickness equation, and the equivalent viscosity method.

[0024] When the thickness of the first oil film is less than the preset oil film threshold, the micro-protrusion contact pressure is calculated based on the dense pressure-temperature equation expression, the film thickness equation expression, and the equivalent viscosity method expression.

[0025] The first total frictional force is calculated based on the micro-protrusion contact pressure and the boundary friction coefficient.

[0026] The total load force is calculated based on the contact pressure of the micro-protrusions and the solution domain.

[0027] The first friction coefficient is calculated based on the first total friction force and the total load force.

[0028] According to some embodiments of this application, the step of performing rough surface elastoplastic contact analysis based on the contact elliptical region, the first contact pressure, and the first total frictional force to obtain the first surface stress field of each first pit microtexture geometric model includes:

[0029] Construct a finite element mesh model of the face gear pair by adding the geometric model of each of the first pit microtextures;

[0030] Extract the surface mesh of each of the finite element mesh models;

[0031] The first contact pressure and the first total friction force of each of the first pit microtexture geometric models are applied to the surface mesh to obtain the INP file of each of the first pit microtexture geometric models.

[0032] Based on each of the INP files, rough surface elastoplastic contact analysis is performed using finite element analysis software to obtain the first surface stress field of each of the first pit microtexture geometric models in the contact elliptical region.

[0033] According to some embodiments of this application, the contact characteristic parameters include the minor axis length of the contact ellipse, and the calculation of the first stress concentration factor for each of the first pit microtexture geometric models based on the first surface stress field and the contact characteristic parameters includes:

[0034] The maximum value of the Mises stress in the surface mesh of the first surface stress field of each first pit microtexture geometric model is selected as the maximum value of the first stress field.

[0035] Determine the feature plane in the finite element mesh model that is parallel to the surface mesh and at a distance of aH from the surface mesh, where aH is half the length of the minor axis of the contact ellipse;

[0036] The maximum value of the Mises stress in the characteristic plane of the first surface stress field of each first pit microtexture geometric model is selected as the maximum value of the second stress field.

[0037] Dividing the maximum value of the first stress field by the maximum value of the second stress field yields the first stress concentration factor for each of the first pit microtexture geometric models. According to some embodiments of this application, the rough surface morphology parameters include rough surface morphology parameters for face gears and rough surface morphology parameters for cylindrical gears. The calculation of the first film thickness ratio for each of the first pit microtexture geometric models based on the rough surface morphology parameters and the first oil film thickness includes:

[0038] The root mean square (RMS) value of the rough surface morphology of the face gear in the preset sampling area is obtained by performing a root mean square (RMS) calculation on the rough surface morphology parameters of the face gear.

[0039] The root mean square (RMS) value of the rough surface morphology of the cylindrical gear in the preset sampling area is obtained by performing a root mean square calculation on the rough surface morphology parameters of the cylindrical gear.

[0040] Calculate the average first oil film thickness for each of the first pit microtexture geometry models;

[0041] The first film thickness ratio of each first pit microtexture geometric model is calculated based on the root mean square value of the rough surface morphology of the face gear, the root mean square value of the rough surface morphology of the cylindrical gear, and the average value of the first oil film thickness.

[0042] According to some embodiments of this application, the step of selecting all the first pit microtexture geometric models based on the first film thickness ratio, the first stress concentration coefficient, and the first friction coefficient using preset screening conditions to obtain the optimal pit microtexture geometric model includes:

[0043] Without adding a pitted microtexture geometry model, calculate the second contact pressure, second total friction force, second temperature, second friction coefficient, and second oil film thickness during the meshing process of the face gear and the cylindrical gear.

[0044] When the second contact pressure reaches the preset pressure convergence condition and the second temperature reaches the preset temperature convergence condition, rough surface elastoplastic contact analysis is performed based on the contact elliptical region, the second contact pressure and the second total friction force to obtain the second surface stress field of the face gear pair.

[0045] The second stress concentration factor of the face gear pair is calculated based on the second surface stress field and the contact characteristic parameters.

[0046] The second film thickness ratio of the face gear pair is calculated based on the rough surface morphology parameters and the first oil film thickness.

[0047] Traverse all the first pit microtexture geometric models, and select all the first pit microtexture geometric models where the first stress concentration factor is less than the second stress concentration factor and the first film thickness ratio is greater than the second film thickness ratio to obtain the second pit microtexture geometric model.

[0048] By traversing all the second pit microtexture geometric models, the first pit microtexture geometric model with the smallest first friction coefficient is selected to obtain the optimal pit microtexture geometric model.

[0049] According to some embodiments of this application, the contact feature parameters include suction velocity; the construction of a plurality of first pit microtexture geometric models based on the contact feature parameters includes:

[0050] Several third-dimple microtexture geometric models are established. Based on the entrainment velocity, the hydrodynamic pressure amplitude of each third-dimple microtexture geometric model is calculated using fluid simulation software.

[0051] By traversing all the third pit microtexture geometric models, all the third pit microtexture geometric models whose hydrodynamic pressure amplitude is greater than the preset pit texture screening threshold are selected to obtain several first pit microtexture geometric models.

[0052] A second aspect of this application provides a system for calculating the geometric parameters of microtextures in face gears, the system comprising:

[0053] The data acquisition module is used to acquire the rough surface morphology parameters, geometric parameters, and working condition parameters of the face gear pair, wherein the face gear pair includes a face gear and a cylindrical gear;

[0054] The contact feature parameter determination module is used to determine the contact elliptical region and contact feature parameters of the meshing interface between the face gear and the cylindrical gear based on the geometric parameters and the working condition parameters.

[0055] The meshing parameter calculation module is used to construct several first pit microtexture geometric models based on the contact feature parameters, and to calculate the first contact pressure, first total friction force, first temperature, first friction coefficient and first oil film thickness of each first pit microtexture geometric model during the meshing process of the face gear and the cylindrical gear under the first contact pressure.

[0056] The first surface stress field calculation module is used to perform rough surface elastoplastic contact analysis based on the contact elliptical region, the first contact pressure and the first total friction force when the first contact pressure reaches the preset pressure convergence condition and the first temperature reaches the preset first temperature convergence condition, so as to obtain the first surface stress field of each first pit microtexture geometric model.

[0057] The first stress concentration factor calculation module is used to calculate the first stress concentration factor of each first pit microtexture geometric model based on the first surface stress field and the contact characteristic parameters.

[0058] The first film thickness ratio calculation module is used to calculate the first film thickness ratio of each first pit microtexture geometric model based on the rough surface morphology parameters and the first oil film thickness.

[0059] The pit microtexture geometric model screening module is used to screen all the first pit microtexture geometric models based on the first film thickness ratio, the first stress concentration coefficient and the first friction coefficient, and obtain the optimal pit microtexture geometric model.

[0060] The microtexture geometry parameter acquisition module is used to acquire the microtexture geometry parameters of the optimal pit microtexture geometry model, and use the microtexture geometry parameters of the optimal pit microtexture geometry model as the microtexture geometry parameters of the face gear pair.

[0061] This system acquires the rough surface morphology parameters, geometric parameters, and operating condition parameters of a face gear pair, which includes a face gear and a cylindrical gear. Based on the geometric and operating parameters, it determines the contact elliptical region and contact characteristic parameters of the meshing interface between the face gear and the cylindrical gear. Based on the contact characteristic parameters, it constructs several first-dimple microtexture geometric models and calculates the first contact pressure, first total friction force, first temperature, first friction coefficient, and first oil film thickness for each first-dimple microtexture geometric model during the meshing process of the face gear and cylindrical gear under the first contact pressure. When the first contact pressure reaches a preset pressure convergence condition and the first temperature reaches a preset first temperature convergence condition, it performs elastoplastic contact analysis on the rough surface based on the contact elliptical region, first contact pressure, and first total friction force to obtain the first surface stress field of each first-dimple microtexture geometric model. Based on the first surface stress field and contact characteristic parameters, it calculates the first stress concentration factor of each first-dimple microtexture geometric model. Based on the rough surface morphology parameters and the first oil film thickness, it calculates the first stress concentration factor of each first-dimple microtexture geometric model. The first film thickness ratio of the model; based on the first film thickness ratio, the first stress concentration factor and the first friction coefficient, all first pit microtexture geometric models are screened through preset screening conditions to obtain the optimal pit microtexture geometric model; the microtexture geometric parameters of the optimal pit microtexture geometric model are obtained, and the microtexture geometric parameters of the optimal pit microtexture geometric model are used as the microtexture geometric parameters of the face gear pair. This application constructs several first pit microtexture geometric models with different morphologies through contact characteristic parameters, and then, based on the first contact pressure, first total friction force, first temperature, first friction coefficient and first oil film thickness of the first pit microtexture geometric model in the meshing process of the face gear and cylindrical gear, the optimal pit microtexture geometric model is screened from the first pit microtexture geometric models with different morphologies according to the first contact pressure, first total friction force, first temperature, first friction coefficient and first oil film thickness, thereby determining the optimal microtexture geometric parameters of the face gear pair, improving the lubrication performance of the friction pair surface, reducing friction and wear, and extending the service life of the face gear pair.

[0062] A third aspect of this application provides an electronic device for calculating the geometric parameters of a microtextured face gear, including at least one control processor and a memory for communicatively connecting to the at least one control processor; the memory stores instructions executable by the at least one control processor, which are executed by the at least one control processor to enable the at least one control processor to perform the above-described method for calculating the geometric parameters of a microtextured face gear.

[0063] In a fourth aspect, this application provides a computer-readable storage medium storing computer-executable instructions for causing a computer to execute the above-described method for calculating the geometric parameters of microtextures in face gears.

[0064] It should be noted that the beneficial effects of the second to fourth aspects of this application compared with the prior art are the same as the beneficial effects of the above-mentioned microtexture geometric parameter calculation system for face gears compared with the prior art, and will not be described in detail here.

[0065] Additional aspects and advantages of this application 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 this application. Attached Figure Description

[0066] The above and / or additional aspects and advantages of this application will become apparent and readily understood from the description of the embodiments taken in conjunction with the following drawings, in which:

[0067] Figure 1 This is a flowchart of an embodiment of a method for calculating the geometric parameters of microtextures in face gears provided in this application;

[0068] Figure 2 This is a schematic diagram of an embodiment of the face gear microtexture geometric parameter calculation system provided in this application;

[0069] Figure 3 This is a schematic diagram of the structure of an embodiment of the electronic device provided in this application. Detailed Implementation

[0070] The embodiments of this application are described in detail below. Examples of the embodiments are shown in the accompanying drawings, wherein the same or similar reference numerals denote the same or similar elements or elements having the same or similar functions throughout. The embodiments described below with reference to the accompanying drawings are exemplary and are only used to explain this application, and should not be construed as limiting this application.

[0071] In the description of this application, the use of terms such as "first," "second," etc., is for the purpose of distinguishing technical features only and should not be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated or the order of the technical features indicated.

[0072] In the description of this application, it should be understood that the orientation descriptions, such as up, down, etc., are based on the orientation or positional relationship shown in the accompanying drawings, and are only for the convenience of describing this application and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation, and therefore should not be construed as a limitation of this application.

[0073] In the description of this application, it should be noted that, unless otherwise explicitly defined, terms such as "setup," "installation," and "connection" should be interpreted broadly, and those skilled in the art can reasonably determine the specific meaning of the above terms in this application in conjunction with the specific content of the technical solution.

[0074] The relative sliding and complex, variable stress states experienced during the meshing of face gears inevitably lead to failure modes such as tooth surface wear and fatigue pitting. Reducing tooth surface contact friction and wear and improving lubrication characteristics are crucial for extending the service life of face gears. In recent years, biomimetic surface textures have been proven to effectively improve the lubrication performance of friction pair surfaces and reduce friction and wear. Texture geometry is an important parameter affecting tooth surface contact lubrication performance; different pit microtexture geometric models have significantly different friction-reducing effects on the interface.

[0075] In the existing technology, there is very little research on the pit texture of face gear pairs. Most studies only focus on the performance verification of a single pit microtexture geometric model for cylindrical gears. There is a lack of systematic comparison and screening of different pit microtexture geometric models, which limits the application effect of pit microtexture in improving the lubrication performance of face gear pairs.

[0076] To address the aforementioned technical deficiencies, this application provides a method and system for calculating the geometric parameters of microtextured face gears.

[0077] Please see Figure 1 This is a flowchart illustrating a method for calculating the geometric parameters of a microtextured surface gear according to an embodiment of this application. This method is applied to electronic devices, such as servers. Figure 1 As shown, the method for calculating the geometric parameters of the microtexture of the face gear includes:

[0078] Step S101: Obtain the rough surface morphology parameters, geometric parameters, and working condition parameters of the face gear pair, wherein the face gear pair includes face gears and cylindrical gears;

[0079] Step S102: Determine the contact elliptical region and contact characteristic parameters of the meshing interface between the face gear and the cylindrical gear based on the geometric parameters and working parameters.

[0080] Step S103: Construct several first pit microtexture geometric models based on contact characteristic parameters, and determine the first contact pressure, first total friction force, first temperature, first friction coefficient and first oil film thickness of each first pit microtexture geometric model during the meshing process of the face gear and the cylindrical gear.

[0081] Step S104: When the first contact pressure reaches the preset pressure convergence condition and the first temperature reaches the preset temperature convergence condition, perform rough surface elastoplastic contact analysis based on the contact elliptical region, the first contact pressure and the first total friction force to obtain the first surface stress field of each first pit microtexture geometric model.

[0082] Step S105: Calculate the first stress concentration factor of the geometric model of each first pit microtexture based on the first surface stress field and contact characteristic parameters;

[0083] Step S106: Calculate the first film thickness ratio of the geometric model of each first pit microtexture based on the rough surface morphology parameters and the first oil film thickness;

[0084] Step S107: Based on the first film thickness ratio, the first stress concentration factor and the first friction factor, all first pit microtexture geometric models are screened through preset screening conditions to obtain the optimal pit microtexture geometric model.

[0085] Step S108: Obtain the microtexture geometric parameters of the optimal pit microtexture geometric model, and use the microtexture geometric parameters of the optimal pit microtexture geometric model as the microtexture geometric parameters of the face gear pair.

[0086] The geometric and operating parameters of the face gear pair can be obtained by input or measurement. The geometric parameters include, but are not limited to, the number of teeth, tooth width, pressure angle, elastic modulus and Poisson's ratio of the face gear pair. The operating parameters include, but are not limited to, gear speed and torque.

[0087] The above-mentioned rough surface morphology parameters can be obtained experimentally. These rough surface morphology parameters include the rough surface morphology parameters of face gears and the rough surface morphology parameters of cylindrical gears.

[0088] The aforementioned contact characteristic parameters include, but are not limited to, entrainment speed, length of the major axis of the contact ellipse, length of the minor axis of the contact ellipse, radius of curvature in the direction of the major axis of the contact ellipse, radius of curvature in the direction of the minor axis of the contact ellipse, entrainment angle, linear velocity of the upper surface, and linear velocity of the lower surface.

[0089] The aforementioned microtexture geometric models for pits include, but are not limited to, circular microtexture geometric models for pits, square microtexture geometric models for pits, triangular microtexture geometric models for pits, and elliptical microtexture geometric models for pits.

[0090] The above step S102 determines the contact elliptical region and contact characteristic parameters of the meshing interface between the face gear and the cylindrical gear based on the geometric parameters and the working condition parameters. This can be done by constructing a geometric model of the face gear pair based on the geometric parameters, constructing a loading contact model of the face gear pair based on the working condition parameters, determining the macroscopic contact pressure on the tooth surface based on the loading contact model of the face gear pair, extracting the grid node numbers where the macroscopic contact pressure is located during meshing, fitting the contact elliptical region based on the grid node numbers, and determining the contact characteristic parameters of the contact elliptical region.

[0091] This method obtains the rough surface morphology parameters, geometric parameters, and operating condition parameters of a face gear pair, which includes a face gear and a cylindrical gear. Based on the geometric parameters and operating condition parameters, the contact elliptical region and contact characteristic parameters of the meshing interface between the face gear and the cylindrical gear are determined. Several first-dimple microtexture geometric models are constructed based on the contact characteristic parameters, and the first contact pressure, first total friction force, first temperature, first friction coefficient, and first oil film thickness of each first-dimple microtexture geometric model during the meshing process of the face gear and cylindrical gear under the first contact pressure are calculated. When the first contact pressure reaches a preset pressure convergence condition and the first temperature reaches a preset first temperature convergence condition, a rough surface elastoplastic contact analysis is performed based on the contact elliptical region, first contact pressure, and first total friction force to obtain the first surface stress field of each first-dimple microtexture geometric model. The first stress concentration factor of each first-dimple microtexture geometric model is calculated based on the first surface stress field and contact characteristic parameters. The first stress concentration factor of each first-dimple microtexture geometric model is calculated based on the rough surface morphology parameters and the first oil film thickness. The first film thickness ratio of the model; based on the first film thickness ratio, the first stress concentration factor and the first friction coefficient, all first pit microtexture geometric models are screened through preset screening conditions to obtain the optimal pit microtexture geometric model; the microtexture geometric parameters of the optimal pit microtexture geometric model are obtained, and the microtexture geometric parameters of the optimal pit microtexture geometric model are used as the microtexture geometric parameters of the face gear pair. This application constructs several first pit microtexture geometric models with different morphologies through contact characteristic parameters, and then, based on the first contact pressure, first total friction force, first temperature, first friction coefficient and first oil film thickness of the first pit microtexture geometric model in the meshing process of the face gear and cylindrical gear, the optimal pit microtexture geometric model is screened from the first pit microtexture geometric models with different morphologies according to the first contact pressure, first total friction force, first temperature, first friction coefficient and first oil film thickness, thereby determining the optimal microtexture geometric parameters of the face gear pair, improving the lubrication performance of the friction pair surface, reducing friction and wear, and extending the service life of the face gear pair.

[0092] In some embodiments, step S103 may include, but is not limited to, steps S201 to S211:

[0093] Step S201: Obtain the boundary friction coefficient, the first rigid body displacement value, the lubricating oil ambient density, the thermal expansion coefficient of the lubricating oil, and the microtexture geometric parameters of each first pit microtexture geometric model;

[0094] Step S202: Determine the expression for the pressure-temperature equation based on the ambient density of the lubricating oil and the thermal expansion coefficient of the lubricating oil;

[0095] Step S203: Calculate the texture roughness surface parameter values ​​of each first pit microtexture geometric model based on the microtexture geometric parameters and roughness surface morphology parameters of the first pit microtexture geometric model;

[0096] Step S204: Determine the surface contact elastic deformation value of the solution domain by using the Businsk integral, wherein the solution domain is the pre-defined calculation area during the meshing process;

[0097] Step S205: Determine the film thickness equation expression based on the texture roughness surface parameter values, surface contact elastic deformation values, first rigid body displacement values, and roughness surface morphology parameters;

[0098] Step S206: Determine the equivalent viscosity method expression based on contact characteristic parameters and film thickness equation expression;

[0099] Step S207: Calculate the first contact pressure, first temperature, and first oil film thickness based on the close pressure-temperature equation expression, film thickness equation expression, and equivalent viscosity method expression;

[0100] Step S208: When the first oil film thickness is less than the preset oil film threshold, calculate the micro-protrusion contact pressure based on the close pressure temperature equation expression, the film thickness equation expression, and the equivalent viscosity method expression.

[0101] Step S209: Calculate the first total friction force based on the contact pressure of the micro-protrusions and the boundary friction coefficient;

[0102] Step S210: Calculate the total load force based on the contact pressure of the micro-protrusions and the solution domain;

[0103] Step S211: Calculate the first friction coefficient based on the first total friction force and the total load force.

[0104] The above-mentioned pit microtexture geometric model and the above-mentioned microtexture geometric parameters have a one-to-one correspondence.

[0105] In this embodiment, by determining the expressions for the pressure-temperature equation, the film thickness equation, and the equivalent viscosity method, and then calculating the first contact pressure, the first temperature, the first oil film thickness, the first total friction force, and the first friction coefficient, data is provided for the subsequent selection of the optimal pit microtexture geometric model, thereby improving the accuracy of the selection of the optimal pit microtexture geometric model.

[0106] Step S202 above may include, but is not limited to, steps S2021 to S2022:

[0107] Step S2021: Obtain the ambient temperature of the lubricating oil;

[0108] Step S2022: Based on the ambient temperature of the lubricating oil, the ambient density of the lubricating oil, and the thermal expansion coefficient of the lubricating oil, calculate the expression for the pressure-temperature equation using the following formula:

[0109] ;

[0110] in, The density of the lubricating oil, For the ambient density of the lubricating oil, For the first contact pressure, The thermal expansion coefficient of the lubricating oil. The first temperature, This refers to the ambient temperature of the lubricating oil.

[0111] The above step S203 may include, but is not limited to, steps S2031 to S2032:

[0112] Step S2031: Based on the microtexture geometric parameters of the first pit microtexture geometric model, calculate the texture surface height of each first pit microtexture geometric model;

[0113] Step S2032: Based on the texture surface height and rough surface morphology parameters, calculate the texture rough surface parameter values ​​of each first pit microtexture geometric model using the following formula:

[0114] ;

[0115] in, These are the surface texture parameters. For the textured surface height, These are the surface morphology parameters of the face gear. These are the surface morphology parameters of the cylindrical gear.

[0116] The above step S2031 may include, but is not limited to, steps S20311 to S20314:

[0117] Step S20311: When the first pit microtexture geometric model is a square pit microtexture geometric model, the texture surface height of the square pit microtexture geometric model is calculated using the following formula based on the microtexture geometric parameters of the square pit microtexture geometric model:

[0118] ;

[0119] in, The x-coordinate of the texture plane point in the microtexture geometry parameters. The ordinate of the texture plane point in the microtexture geometry parameters. The x-coordinate of the texture center point in the microtexture geometry parameters. The ordinate of the texture center point in the microtexture geometry parameters. The side length is a parameter in the microtexture geometry. is the texture depth in the microtexture geometry parameters.

[0120] Step S20312: When the first pit microtexture geometric model is a triangular pit microtexture geometric model, the texture surface height of the triangular pit microtexture geometric model is calculated using the following formula based on the microtexture geometric parameters of the triangular pit microtexture geometric model:

[0121] .

[0122] Step S20313: When the first pit microtexture geometric model is a circular pit microtexture geometric model, the texture surface height of the circular pit microtexture geometric model is calculated using the following formula based on the microtexture geometric parameters of the circular pit microtexture geometric model:

[0123] ;

[0124] in, is the circular texture radius in the microtexture geometry parameters.

[0125] Step S20314: When the first pit microtexture geometric model is an elliptical pit microtexture geometric model, the texture surface height of the elliptical pit microtexture geometric model is calculated using the following formula based on the microtexture geometric parameters of the elliptical pit microtexture geometric model:

[0126] ;

[0127] The length of the major axis of the ellipse is a parameter in the microtexture geometry of the elliptical pit microtexture geometric model. The length of the minor axis of the ellipse is a parameter in the microtexture geometry of the elliptical pit microtexture geometric model.

[0128] In step S205 above, the film thickness equation expression is determined based on the texture roughness surface parameter values, surface contact elastic deformation values, first rigid body displacement values, and roughness surface morphology parameters. This can be achieved by calculating the film thickness equation expression using the following formula:

[0129] ;

[0130] in, The textured region is a microstructured area formed on the tooth surface through surface treatment techniques such as laser etching and micropit processing. The radius of curvature along the minor axis of the contact ellipse. To the radius of curvature along the major axis of the contact ellipse, This is the first rigid body displacement value. This represents the surface contact elastic deformation value. These are the coordinates of the contact points during the meshing process. The thickness of the first oil film.

[0131] In step S206, the equivalent viscosity method expression determined based on the contact characteristic parameters and the film thickness equation expression can be calculated using the following formula:

[0132] ;

[0133] ;

[0134] ;

[0135] in, It is a dimensionless viscosity-pressure index. It is a dimensionless viscosity-temperature index. The viscosity-compression coefficient is preset according to requirements. The viscosity-temperature coefficient is preset according to requirements. The viscosity of the lubricating oil in the pre-obtained environment, For the integral eigenvalue one, For the integral eigenvalue two, For the pre-obtained characteristic shear stress of the lubricating oil, This refers to the apparent viscosity of the lubricating oil. The coordinate values ​​in the direction of the oil film thickness are obtained in advance. Let the linear velocity of the upper surface be . Let be the linear velocity of the lower surface. The shear stress on the solid surface. For oil film shear stress, This is the equivalent viscosity.

[0136] In step S207, the first contact pressure, first temperature, and first oil film thickness are calculated based on the expressions for the pressure-temperature equation, film thickness equation, and equivalent viscosity method. This can be achieved using the following formulas:

[0137] ;

[0138] in, The suction speed is the speed at which the suction is drawn in. The angle between the suction and the induction. The specific heat capacity of the lubricating oil is obtained in advance. The thermal conductivity coefficient of the lubricating oil is obtained in advance. For the pre-obtained lubricating oil along Flow velocity in direction The flow rate of the lubricating oil along the y-direction is obtained in advance. The flow rate of the lubricating oil along the z-direction is obtained in advance.

[0139] In step S208, when the first oil film thickness is less than the preset oil film threshold, the micro-protrusion contact pressure can be calculated based on the close pressure-temperature equation, the film thickness equation, and the equivalent viscosity method. This can be achieved by treating the first oil film thickness as zero when it is less than the preset oil film threshold, and then calculating the micro-protrusion contact pressure using the close pressure-temperature equation, the film thickness equation, and the equivalent viscosity method.

[0140] In step S209, the first total friction force is calculated based on the micro-protrusion contact pressure and the boundary friction coefficient using the following formula:

[0141]

[0142] in, The first total friction force, For micro-protrusion contact pressure, The boundary friction coefficient is denoted as .

[0143] In step S210, the total load force can be calculated based on the micro-protrusion contact pressure and the solution domain using the following formula:

[0144] ;

[0145] in, For the total load force, To find the solution domain.

[0146] In step S211, the first friction coefficient can be calculated based on the first total friction force and the total load force using the following formula:

[0147] ;

[0148] in, The coefficient of friction is the first.

[0149] In some embodiments, if the first contact pressure does not reach the preset pressure convergence condition or the first temperature does not reach the preset temperature convergence condition, the first rigid body displacement value is updated based on the first contact pressure and the first temperature to obtain the second rigid body displacement value. Based on the second rigid body displacement value, the second contact pressure, the second total friction force, the second temperature, the second friction coefficient, and the second oil film thickness of each first pit microtexture geometric model in the meshing process of the face gear and the cylindrical gear are determined. This process is repeated until the q-th contact pressure reaches the preset pressure convergence condition and the q-th temperature reaches the preset temperature convergence condition. Then, the q-th contact pressure, the q-th total friction force, the q-th temperature, the q-th friction coefficient, and the q-th oil film thickness of each first pit microtexture geometric model in the meshing process of the face gear and the cylindrical gear are determined. The q-th contact pressure replaces the first contact pressure, the q-th total friction force replaces the first total friction force, the q-th temperature replaces the first temperature, the q-th friction coefficient replaces the first friction coefficient, and the q-th oil film thickness replaces the first oil film thickness, where q is the iteration number.

[0150] In step S211, the expression for the first contact pressure reaching the preset pressure convergence condition and the first temperature reaching the preset temperature convergence condition can be:

[0151] ;

[0152] in, For the first contact pressure, The contact pressure is either the contact pressure from the previous iteration or the initial contact pressure preset according to requirements. The first temperature, The contact pressure of the previous iteration or the initial temperature preset as required.

[0153] When the number of iterations is one, the above The initial contact pressure is preset according to requirements. The initial temperature is preset according to requirements.

[0154] When the number of iterations is not one, the above The contact pressure of the previous iteration, This is the temperature from the previous iteration.

[0155] In some embodiments, step S104 may include, but is not limited to, steps S301 to S304:

[0156] Step S301: Construct a finite element mesh model of the geometric model of the microtexture of each first pit in the face gear pair;

[0157] Step S302: Extract the surface mesh of each finite element mesh model;

[0158] Step S303: Apply the first contact pressure and the first total friction force of each first pit microtexture geometric model to the surface mesh to obtain the INP file of each first pit microtexture geometric model;

[0159] Step S304: Perform rough surface elastoplastic contact analysis on each INP file using finite element analysis software to obtain the first surface stress field of the first pit microtexture geometric model in the contact elliptical region.

[0160] The aforementioned INP file is a text file containing data information about the geometric model of the first pit microtexture.

[0161] This embodiment uses finite element analysis software to determine the first surface stress field of each first pit microtexture geometric model, providing data for subsequent selection of the optimal pit microtexture geometric model and improving the accuracy of the optimal pit microtexture geometric model selection.

[0162] In some embodiments, step S105 may include, but is not limited to, steps S401 to S404:

[0163] Step S401: Select the maximum value of the Mises stress of the surface mesh in the first surface stress field of each first pit microtexture geometric model, and take it as the maximum value of the first stress field.

[0164] Step S402: Determine the feature plane in the finite element mesh model that is parallel to the surface mesh and at a distance of aH from the surface mesh, where aH is half the length of the minor axis of the contact ellipse;

[0165] Step S403: Select the maximum value of the Mises stress in the characteristic plane of the first surface stress field of each first pit microtexture geometric model, and use it as the maximum value of the second stress field.

[0166] Step S404: Divide the maximum value of the first stress field by the maximum value of the second stress field to obtain the first stress concentration factor of the geometric model of each first pit microtexture.

[0167] In some embodiments, step S106 may include, but is not limited to, steps S501 to S504:

[0168] Step S501: Perform root mean square calculation on the surface roughness parameters of the face gear in the preset sampling area to obtain the root mean square value of the surface roughness.

[0169] Step S502: Perform root mean square calculation on the surface morphology parameters of the cylindrical gear in the preset sampling area to obtain the root mean square value of the surface morphology of the cylindrical gear.

[0170] Step S503: Calculate the average value of the first oil film thickness for each first pit microtexture geometric model;

[0171] Step S504: Calculate the first film thickness ratio of each first pit microtexture geometric model based on the root mean square value of the rough surface morphology of the face gear, the root mean square value of the rough surface morphology of the cylindrical gear, and the average value of the first oil film thickness.

[0172] Specifically, the first film thickness ratio can be calculated using the following formula:

[0173]

[0174] in, A preset sampling area is set in advance according to requirements. This represents the root mean square value of the rough surface morphology of the cylindrical gear. The root mean square value of the rough surface morphology of the face gear is given. The first film thickness ratio, This represents the average thickness of the first oil film.

[0175] In some embodiments, step S107 may include, but is not limited to, steps S601 to S606:

[0176] Step S601: Without adding the pit microtexture geometry model, calculate the second contact pressure, second total friction force, second temperature, second friction coefficient and second oil film thickness during the meshing process of the face gear and cylindrical gear.

[0177] Step S602: When the second contact pressure reaches the preset pressure convergence condition and the second temperature reaches the preset temperature convergence condition, perform rough surface elastoplastic contact analysis based on the contact elliptical region, the second contact pressure, and the second total friction force to obtain the second surface stress field of the face gear pair.

[0178] Step S603: Calculate the second stress concentration factor of the face gear pair based on the second surface stress field and contact characteristic parameters;

[0179] Step S604: Calculate the second film thickness ratio of the gear pair based on the rough surface morphology parameters and the first oil film thickness;

[0180] Step S605: Traverse all first pit microtexture geometric models, select all first pit microtexture geometric models where the first stress concentration factor is less than the second stress concentration factor and the first film thickness ratio is greater than the second film thickness ratio, and obtain the second pit microtexture geometric model.

[0181] Step S606: Traverse all second pit microtexture geometric models, select the first pit microtexture geometric model with the smallest first friction coefficient, and obtain the optimal pit microtexture geometric model.

[0182] This embodiment calculates the second stress concentration factor and the second film thickness ratio of the geometric model without added pit microtexture. After screening the first pit microtexture geometric models by comparing the second stress concentration factor and the second film thickness ratio with the first stress concentration factor and the first film thickness ratio of all first pit microtexture geometric models, the first pit microtexture geometric model with the smallest first friction coefficient is selected. This improves the accuracy of pit microtexture geometric model screening, thereby improving the lubrication performance of the friction pair surface, reducing friction and wear, and extending the service life of the face gear pair.

[0183] The calculation process for the second stress concentration factor is similar to that for the first stress concentration factor, and the calculation process for the second film thickness ratio is similar to that for the first film thickness ratio, and will not be repeated here. In some embodiments, step S602 may include, but is not limited to, steps S6021 to S6024:

[0184] Step S6021: Construct the initial finite element mesh model of the geometric model of the face gear pair without added pit microtexture;

[0185] Step S6022: Extract the surface mesh of the initial finite element mesh model;

[0186] Step S6023: Apply the second contact pressure and the second total friction force to the surface mesh to obtain the initial INP file;

[0187] Step S6024: Perform rough surface elastoplastic contact analysis on the initial INP file using finite element analysis software to obtain the second surface stress field of the face gear pair.

[0188] In some embodiments, step S103 may include, but is not limited to, steps S701 to S702:

[0189] Step S701: Establish several geometric models of the third pit microtexture. Based on the entrainment velocity, calculate the hydrodynamic pressure amplitude of each geometric model of the third pit microtexture using fluid simulation software.

[0190] Step S702: Traverse all third-dimple microtexture geometric models, and select all third-dimple microtexture geometric models whose hydrodynamic pressure amplitude is greater than the preset dimple texture screening threshold to obtain several first-dimple microtexture geometric models.

[0191] The above-mentioned screening of the third pit microtexture geometric model by suction speed improves the accuracy of pit microtexture geometric model screening, thereby improving the lubrication performance of the friction pair surface, reducing friction and wear, and extending the service life of the face gear pair.

[0192] Additionally, refer to Figure 2 One embodiment of this application provides a system for calculating the geometric parameters of microtextures in face gears, including a data acquisition module 1100, a contact feature parameter determination module 1200, a meshing parameter calculation module 1300, a first surface stress field calculation module 1400, a first stress concentration factor calculation module 1500, a first film thickness ratio calculation module 1600, a pit microtexture geometric model screening module 1700, and a microtexture geometric parameter acquisition module 1800, wherein:

[0193] The data acquisition module 1100 is used to acquire the rough surface morphology parameters, geometric parameters and working condition parameters of the face gear pair, wherein the face gear pair includes face gears and cylindrical gears;

[0194] The contact characteristic parameter determination module 1200 is used to determine the contact elliptical region and contact characteristic parameters of the meshing interface between the face gear and the cylindrical gear based on geometric parameters and working condition parameters.

[0195] The meshing parameter calculation module 1300 is used to construct several first pit microtexture geometric models based on contact characteristic parameters, and to calculate the first contact pressure, first total friction force, first temperature, first friction coefficient and first oil film thickness of each first pit microtexture geometric model during the meshing process of the face gear and the cylindrical gear under the first contact pressure.

[0196] The first surface stress field calculation module 1400 is used to perform rough surface elastoplastic contact analysis based on the contact elliptical region, the first contact pressure and the first total friction force when the first contact pressure reaches the preset pressure convergence condition and the first temperature reaches the preset first temperature convergence condition, so as to obtain the first surface stress field of each first pit microtexture geometric model.

[0197] The first stress concentration factor calculation module 1500 is used to calculate the first stress concentration factor of each first pit microtexture geometric model based on the first surface stress field and contact characteristic parameters.

[0198] The first film thickness ratio calculation module 1600 is used to calculate the first film thickness ratio of each first pit microtexture geometric model based on the rough surface morphology parameters and the first oil film thickness.

[0199] The pit microtexture geometric model screening module 1700 is used to screen all first pit microtexture geometric models based on the first film thickness ratio, the first stress concentration coefficient and the first friction coefficient, and through preset screening conditions, to obtain the optimal pit microtexture geometric model.

[0200] The microtexture geometry parameter acquisition module 1800 is used to acquire the microtexture geometry parameters of the optimal pit microtexture geometry model, and use the microtexture geometry parameters of the optimal pit microtexture geometry model as the microtexture geometry parameters of the face gear pair.

[0201] This system acquires the rough surface morphology parameters, geometric parameters, and operating condition parameters of a face gear pair, which includes a face gear and a cylindrical gear. Based on the geometric and operating parameters, it determines the contact elliptical region and contact characteristic parameters of the meshing interface between the face gear and the cylindrical gear. Based on the contact characteristic parameters, it constructs several first-dimple microtexture geometric models and calculates the first contact pressure, first total friction force, first temperature, first friction coefficient, and first oil film thickness for each first-dimple microtexture geometric model during the meshing process of the face gear and cylindrical gear under the first contact pressure. When the first contact pressure reaches a preset pressure convergence condition and the first temperature reaches a preset first temperature convergence condition, it performs elastoplastic contact analysis on the rough surface based on the contact elliptical region, first contact pressure, and first total friction force to obtain the first surface stress field of each first-dimple microtexture geometric model. Based on the first surface stress field and contact characteristic parameters, it calculates the first stress concentration factor of each first-dimple microtexture geometric model. Based on the rough surface morphology parameters and the first oil film thickness, it calculates the first stress concentration factor of each first-dimple microtexture geometric model. The first film thickness ratio of the model; based on the first film thickness ratio, the first stress concentration factor and the first friction coefficient, all first pit microtexture geometric models are screened through preset screening conditions to obtain the optimal pit microtexture geometric model; the microtexture geometric parameters of the optimal pit microtexture geometric model are obtained, and the microtexture geometric parameters of the optimal pit microtexture geometric model are used as the microtexture geometric parameters of the face gear pair. This application constructs several first pit microtexture geometric models with different morphologies through contact characteristic parameters, and then, based on the first contact pressure, first total friction force, first temperature, first friction coefficient and first oil film thickness of the first pit microtexture geometric model in the meshing process of the face gear and cylindrical gear, the optimal pit microtexture geometric model is screened from the first pit microtexture geometric models with different morphologies according to the first contact pressure, first total friction force, first temperature, first friction coefficient and first oil film thickness, thereby determining the optimal microtexture geometric parameters of the face gear pair, improving the lubrication performance of the friction pair surface, reducing friction and wear, and extending the service life of the face gear pair.

[0202] It should be noted that the system embodiments described above are based on the same inventive concept as the method embodiments described above. Therefore, the relevant content of the method embodiments described above is also applicable to the system embodiments described above, and will not be repeated here.

[0203] Figure 3 A schematic diagram of the rule mining hardware structure provided in an embodiment of this application is shown.

[0204] The device for calculating the geometric parameters of microtextures in face gears may include a processor 301 and a memory 302 storing computer program instructions.

[0205] Specifically, the processor 301 may include a central processing unit (CPU), an application-specific integrated circuit (ASIC), or one or more integrated circuits that can be configured to implement the embodiments of this application.

[0206] Memory 302 may include mass storage for data or instructions. For example, and not limitingly, memory 302 may include a hard disk drive (HDD), floppy disk drive, flash memory, optical disk, magneto-optical disk, magnetic tape, or Universal Serial Bus (USB) drive, or a combination of two or more of these. Where appropriate, memory 302 may include removable or non-removable (or fixed) media. Where appropriate, memory 302 may be internal or external to the integrated gateway disaster recovery device. In a particular embodiment, memory 302 is non-volatile solid-state memory.

[0207] In some embodiments, memory 302 may include read-only memory (ROM), random access memory (RAM), disk storage media device, optical storage media device, flash memory device, electrical, optical, or other physical / tangible memory storage device. Thus, generally, memory includes one or more tangible (non-transitory) computer-readable storage media (e.g., memory devices) encoded with software including computer-executable instructions, and when the software is executed (e.g., by one or more processors), it is operable to perform the operations described with reference to the method according to one aspect of this disclosure.

[0208] The processor 301 reads and executes computer program instructions stored in the memory 302 to implement any of the methods for calculating the geometric parameters of the microtexture of the face gear in the above embodiments.

[0209] In one example, the device for calculating the geometric parameters of a micro-textured face gear may further include a communication interface 303 and a bus 310. For example, Figure 3 As shown, the processor 301, memory 302, and communication interface 303 are connected through bus 310 and complete communication with each other.

[0210] The communication interface 303 is mainly used to realize communication between various modules, devices, units and / or equipment in the embodiments of this application.

[0211] Bus 310 includes hardware, software, or both, that couples components of a face gear microtexture geometry calculation device together. For example, and not limitingly, the bus may include an Accelerated Graphics Port (AGP) or other graphics bus, an Enhanced Industry Standard Architecture (EISA) bus, a Front Side Bus (FSB), HyperTransport (HT) interconnect, an Industry Standard Architecture (ISA) bus, an Infinite Bandwidth Interconnect, a Low Pin Count (LPC) bus, a memory bus, a Microchannel Architecture (MCA) bus, a Peripheral Component Interconnect (PCI) bus, a PCI-Express (PCI-X) bus, a Serial Advanced Technology Attachment (SATA) bus, a Video Electronics Standards Association Local (VLB) bus, or other suitable buses, or combinations of two or more of these. Where appropriate, bus 310 may include one or more buses. Although specific buses are described and illustrated in embodiments of this application, any suitable bus or interconnect is contemplated herein.

[0212] The device for calculating the geometric parameters of microtextured face gears can execute the method for calculating the geometric parameters of microtextured face gears in this application embodiment based on a three-dimensional design model, thereby achieving a combination of... Figure 1 and Figure 2 The method and system for calculating the geometric parameters of microtextures in face gears are described.

[0213] Furthermore, in conjunction with the method for calculating the geometric parameters of the microtexture of face gears in the above embodiments, this application embodiment can provide a computer storage medium for implementation. This computer storage medium stores computer program instructions; when these computer program instructions are executed by a processor, they implement any of the methods for calculating the geometric parameters of the microtexture of face gears in the above embodiments.

[0214] It should be clarified that this application is not limited to the specific configurations and processes described above and shown in the figures. For the sake of brevity, detailed descriptions of known methods are omitted here. In the above embodiments, several specific steps are described and shown as examples. However, the method process of this application is not limited to the specific steps described and shown. Those skilled in the art can make various changes, modifications, and additions, or change the order of steps, after understanding the spirit of this application.

[0215] The functional blocks shown in the above block diagram can be implemented as hardware, software, firmware, or a combination thereof. When implemented in hardware, they can be, for example, electronic circuits, application-specific integrated circuits (ASICs), appropriate firmware, plug-ins, function cards, etc. When implemented in software, the elements of this application are programs or code segments used to perform the required tasks. Programs or code segments can be stored on a machine-readable medium or transmitted over a transmission medium or communication link via data signals carried on a carrier wave. "Machine-readable medium" can include any medium capable of storing or transmitting information. Examples of machine-readable media include electronic circuits, semiconductor memory devices, ROM, flash memory, erasable ROM (EROM), floppy disks, CD-ROMs, optical disks, hard disks, fiber optic media, radio frequency (RF) links, etc. Code segments can be downloaded via computer networks such as the Internet, intranets, etc.

[0216] It should also be noted that the exemplary embodiments mentioned in this application describe methods or systems based on a series of steps or apparatus. However, this application is not limited to the order of the above steps; that is, the steps can be performed in the order mentioned in the embodiments, or in a different order, or several steps can be performed simultaneously.

[0217] The aspects of this disclosure have been described above with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of this disclosure. It should be understood that each block in the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, or other programmable data processing apparatus to produce a machine such that these instructions, executable via the processor of the computer or other programmable data processing apparatus, enable the implementation of the functions / actions specified in one or more blocks of the flowchart illustrations and / or block diagrams. Such a processor can be, but is not limited to, a general-purpose processor, a special-purpose processor, a special application processor, or a field-programmable logic circuit. It is also understood that each block in the block diagrams and / or flowcharts, and combinations of blocks in the block diagrams and / or flowcharts, can also be implemented by special-purpose hardware performing the specified functions or actions, or can be implemented by a combination of special-purpose hardware and computer instructions.

[0218] The above description is merely a specific implementation of this application. Those skilled in the art will clearly understand that, for the sake of convenience and brevity, the specific working processes of the systems, modules, and units described above can be referred to the corresponding processes in the foregoing method embodiments, and will not be repeated here. It should be understood that the protection scope of this application is not limited thereto. Any person skilled in the art can easily conceive of various equivalent modifications or substitutions within the technical scope disclosed in this application, and these modifications or substitutions should all be covered within the protection scope of this application.

Claims

1. A method for calculating the geometric parameters of microtexture in face gears, characterized in that, The method includes: Obtain the rough surface morphology parameters, geometric parameters, and operating parameters of the face gear pair, wherein the face gear pair includes a face gear and a cylindrical gear; Based on the geometric parameters and the operating parameters, the contact elliptical region and contact characteristic parameters of the meshing interface between the face gear and the cylindrical gear are determined. Based on the contact characteristic parameters, several first pit microtexture geometric models are constructed, and the first contact pressure, first total friction force, first temperature, first friction coefficient and first oil film thickness of each first pit microtexture geometric model during the meshing process of the face gear and the cylindrical gear are determined. When the first contact pressure reaches the preset pressure convergence condition and the first temperature reaches the preset temperature convergence condition, rough surface elastoplastic contact analysis is performed based on the contact elliptical region, the first contact pressure and the first total friction force to obtain the first surface stress field of each first pit microtexture geometric model. Calculate the first stress concentration factor for each of the first pit microtexture geometric models based on the first surface stress field and the contact characteristic parameters; The first film thickness ratio of each first pit microtexture geometric model is calculated based on the rough surface morphology parameters and the first oil film thickness. Based on the first film thickness ratio, the first stress concentration coefficient, and the first friction coefficient, all the first pit microtexture geometric models are screened through preset screening conditions to obtain the optimal pit microtexture geometric model. Obtain the microtexture geometric parameters of the optimal pit microtexture geometric model, and use the microtexture geometric parameters of the optimal pit microtexture geometric model as the microtexture geometric parameters of the face gear pair.

2. The method for calculating the geometric parameters of microtexture in face gears according to claim 1, characterized in that, The contact characteristic parameters include the entrainment speed. Determining the first contact pressure, first total friction force, first temperature, first coefficient of friction, and first oil film thickness of each of the first pit microtexture geometries during the meshing process of the face gear and the cylindrical gear includes: Obtain the boundary friction coefficient, the first rigid body displacement value, the lubricating oil ambient density, the thermal expansion rate of the lubricating oil, and the microtexture geometric parameters of each first pit microtexture geometric model; The expression for the pressure-temperature equation is determined based on the ambient density of the lubricating oil and the thermal expansion coefficient of the lubricating oil. The texture roughness surface parameter values ​​of each of the first pit microtexture geometric models are calculated based on the microtexture geometric parameters of the first pit microtexture geometric model and the roughness surface morphology parameters. The surface contact elastic deformation value of the solution domain is determined by the Businsk integral, wherein the solution domain is a pre-defined calculation area during the meshing process; The film thickness equation expression is determined based on the texture roughness surface parameter value, the surface contact elastic deformation value, the first rigid body displacement value, and the roughness surface morphology parameter. The equivalent viscosity method expression is determined based on the contact characteristic parameters and the film thickness equation expression; The first contact pressure, the first temperature, and the first oil film thickness are calculated based on the pressure-temperature equation, the film thickness equation, and the equivalent viscosity method. When the thickness of the first oil film is less than the preset oil film threshold, the micro-protrusion contact pressure is calculated based on the expression of the pressure-temperature equation, the expression of the film thickness equation, and the expression of the equivalent viscosity method. The first total frictional force is calculated based on the micro-protrusion contact pressure and the boundary friction coefficient. The total load force is calculated based on the contact pressure of the micro-protrusions and the solution domain. The first friction coefficient is calculated based on the first total friction force and the total load force.

3. The method for calculating the geometric parameters of microtexture in face gears according to claim 2, characterized in that, The rough surface elastoplastic contact analysis based on the contact elliptical region, the first contact pressure, and the first total friction force yields the first surface stress field for each of the first pit microtexture geometric models, including: Construct a finite element mesh model of the face gear pair by adding the geometric model of each of the first pit microtextures; Extract the surface mesh of each of the finite element mesh models; The first contact pressure and the first total friction force of each of the first pit microtexture geometric models are applied to the surface mesh to obtain the INP file of each of the first pit microtexture geometric models. Based on each of the INP files, rough surface elastoplastic contact analysis is performed using finite element analysis software to obtain the first surface stress field of each of the first pit microtexture geometric models in the contact elliptical region.

4. The method for calculating the geometric parameters of microtexture in face gears according to claim 3, characterized in that, The contact characteristic parameters include the length of the minor axis of the contact ellipse. The calculation of the first stress concentration factor for each of the first pit microtexture geometric models based on the first surface stress field and the contact characteristic parameters includes: The maximum value of the Mises stress in the surface mesh of the first surface stress field of each first pit microtexture geometric model is selected as the maximum value of the first stress field. Determine the feature plane in the finite element mesh model that is parallel to the surface mesh and at a distance of aH from the surface mesh, where aH is half the length of the minor axis of the contact ellipse; The maximum value of the Mises stress in the characteristic plane of the first surface stress field of each first pit microtexture geometric model is selected as the maximum value of the second stress field. Divide the maximum value of the first stress field by the maximum value of the second stress field to obtain the first stress concentration factor of each first pit microtexture geometric model.

5. The method for calculating the geometric parameters of microtexture in face gears according to claim 4, characterized in that, The rough surface morphology parameters include the rough surface morphology parameters of face gears and the rough surface morphology parameters of cylindrical gears. The calculation of the first film thickness ratio of each first pit microtexture geometric model based on the rough surface morphology parameters and the first oil film thickness includes: The root mean square (RMS) value of the rough surface morphology of the face gear in the preset sampling area is obtained by performing a root mean square (RMS) calculation on the rough surface morphology parameters of the face gear. The root mean square (RMS) value of the rough surface morphology of the cylindrical gear in the preset sampling area is obtained by performing a root mean square calculation on the rough surface morphology parameters of the cylindrical gear. Calculate the average first oil film thickness for each of the first pit microtexture geometry models; The first film thickness ratio of each first pit microtexture geometric model is calculated based on the root mean square value of the rough surface morphology of the face gear, the root mean square value of the rough surface morphology of the cylindrical gear, and the average value of the first oil film thickness.

6. The method for calculating the geometric parameters of microtexture in face gears according to claim 5, characterized in that, The process involves selecting the optimal pit microtexture geometric model based on the first film thickness ratio, the first stress concentration factor, and the first friction coefficient, using preset screening conditions to filter all the first pit microtexture geometric models. This includes: Without adding a pitted microtexture geometry model, calculate the second contact pressure, second total friction force, second temperature, second friction coefficient, and second oil film thickness during the meshing process of the face gear and the cylindrical gear. When the second contact pressure reaches the preset pressure convergence condition and the second temperature reaches the preset temperature convergence condition, rough surface elastoplastic contact analysis is performed based on the contact elliptical region, the second contact pressure and the second total friction force to obtain the second surface stress field of the face gear pair. The second stress concentration factor of the face gear pair is calculated based on the second surface stress field and the contact characteristic parameters. The second film thickness ratio of the face gear pair is calculated based on the rough surface morphology parameters and the first oil film thickness. Traverse all the first pit microtexture geometric models, and select all the first pit microtexture geometric models where the first stress concentration factor is less than the second stress concentration factor and the first film thickness ratio is greater than the second film thickness ratio to obtain the second pit microtexture geometric model. By traversing all the second pit microtexture geometric models, the first pit microtexture geometric model with the smallest first friction coefficient is selected to obtain the optimal pit microtexture geometric model.

7. The method for calculating the geometric parameters of microtexture in face gears according to claim 1, characterized in that, The contact feature parameters include the suction velocity; the construction of a plurality of first pit microtexture geometric models based on the contact feature parameters includes: Several third-dimple microtexture geometric models are established. Based on the entrainment velocity, the hydrodynamic pressure amplitude of each third-dimple microtexture geometric model is calculated using fluid simulation software. By traversing all the third pit microtexture geometric models, all the third pit microtexture geometric models whose hydrodynamic pressure amplitude is greater than the preset pit texture screening threshold are selected to obtain several first pit microtexture geometric models.

8. A system for calculating the geometric parameters of microtextures in face gears, characterized in that, The surface gear microtexture geometric parameter calculation system includes: The data acquisition module is used to acquire the rough surface morphology parameters, geometric parameters, and working condition parameters of the face gear pair, wherein the face gear pair includes a face gear and a cylindrical gear; The contact feature parameter determination module is used to determine the contact elliptical region and contact feature parameters of the meshing interface between the face gear and the cylindrical gear based on the geometric parameters and the working condition parameters. The meshing parameter calculation module is used to construct several first pit microtexture geometric models based on the contact feature parameters, and to calculate the first contact pressure, first total friction force, first temperature, first friction coefficient and first oil film thickness of each first pit microtexture geometric model during the meshing process of the face gear and the cylindrical gear under the first contact pressure. The first surface stress field calculation module is used to perform rough surface elastoplastic contact analysis based on the contact elliptical region, the first contact pressure and the first total friction force when the first contact pressure reaches the preset pressure convergence condition and the first temperature reaches the preset first temperature convergence condition, so as to obtain the first surface stress field of each first pit microtexture geometric model. The first stress concentration factor calculation module is used to calculate the first stress concentration factor of each first pit microtexture geometric model based on the first surface stress field and the contact characteristic parameters. The first film thickness ratio calculation module is used to calculate the first film thickness ratio of each first pit microtexture geometric model based on the rough surface morphology parameters and the first oil film thickness. The pit microtexture geometric model screening module is used to screen all the first pit microtexture geometric models based on the first film thickness ratio, the first stress concentration coefficient and the first friction coefficient, and obtain the optimal pit microtexture geometric model. The microtexture geometry parameter acquisition module is used to acquire the microtexture geometry parameters of the optimal pit microtexture geometry model, and use the microtexture geometry parameters of the optimal pit microtexture geometry model as the microtexture geometry parameters of the face gear pair.

9. A device for calculating the geometric parameters of micro-textured face gears, characterized in that, It includes at least one control processor and a memory for communicatively connecting to the at least one control processor; the memory stores instructions executable by the at least one control processor, which, when executed by the at least one control processor, enable the at least one control processor to perform a method for calculating the geometric parameters of a microtextured face gear as described in any one of claims 1 to 7.

10. A computer-readable storage medium, characterized in that: The computer-readable storage medium stores computer-executable instructions for causing a computer to perform a method for calculating the geometric parameters of a microtextured face gear as described in any one of claims 1 to 7.

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