Spiral bevel gear tooth surface and micro-texture collaborative optimization design method, system and equipment

Abstract

The invention discloses a spiral bevel gear tooth surface and micro-texture collaborative optimization design method, system and equipment, and the method comprises the steps: constructing a difference surface model based on a target tooth surface, and optimizing machining parameters based on the difference surface model to obtain new machining parameters; based on the new machining parameters, the reference tooth surface and the target tooth surface, carrying out loading contact analysis and sensitivity analysis on the tooth surface of the spiral bevel gear to obtain target machining parameters, and optimizing the tooth surface of the spiral bevel gear according to the target machining parameters to obtain a target tooth surface of the spiral bevel gear; initial micro-texture parameters are determined, a micro-texture is arranged on the tooth surface of the target spiral bevel gear based on the initial micro-texture parameters, and the spiral bevel gear tooth surface containing the micro-texture is constructed; and an objective function and constraint conditions for optimizing the micro-texture parameters are constructed, loading contact analysis is carried out on the tooth surface of the spiral bevel gear containing the micro-texture, and target micro-texture parameters meeting the objective function and the constraint conditions are obtained. According to the method, collaborative optimization design of the tooth surface and the micro-texture of the spiral bevel gear can be realized.

Description

Technical Field

[0001] The present application relates to the technical field of gear design, and in particular to a method, system and device for collaborative optimization design of spiral bevel gear tooth surface and micro-texture. Background Art

[0002] The contact characteristics of spiral bevel gears during transmission directly affect the meshing transmission quality of gear pairs. Traditional gear design mainly focuses on the geometric parameters of tooth shape and tooth surface, while ignoring the influence of surface microstructure on transmission performance. In recent years, microtexturing technology has attracted attention due to its potential to improve gear meshing and interface tribological properties. It is worthwhile to apply surface texture to the surface of gear pairs, but most of the research on surface texturing of gear pairs is based on cylindrical gears. Therefore, the existing related technical solutions have the following problems: 1. The correlation between the textured structure and the contact transmission performance of spiral bevel gears is unclear and lacks rationality; 2. The current micro-texture design methods are mostly aimed at ordinary gears, and insufficient consideration is given to the spatial surface characteristics of spiral bevel gears, making it difficult to achieve the coordinated optimization of tooth surface micro-texture and the overall gear design parameters. Summary of the invention

[0003] The present application aims to propose a method, system and equipment for collaborative optimization design of spiral bevel gear tooth surface and micro-texture, which can realize the collaborative optimization design of spiral bevel gear tooth surface and micro-texture.

[0004] In a first aspect, an embodiment of the present application provides a method for collaborative optimization design of a spiral bevel gear tooth surface and micro-texture, the method comprising: Determine initial processing parameters of the spiral bevel gear, and construct a first spiral bevel gear tooth surface equation in a gear fixed coordinate system based on the initial processing parameters, wherein the spiral bevel gear includes a large spiral bevel gear and a small spiral bevel gear; Convert the tooth surface equation of the first spiral bevel gear in the gear fixed coordinate system into the tooth surface equation of the second spiral bevel gear in the meshing coordinate system; Taking the tooth surface of any one of the large spiral bevel gear and the small spiral bevel gear as a reference tooth surface, and constructing a target tooth surface of the other spiral bevel gear based on the tooth surface equation and ease-off of the second spiral bevel gear; Constructing a difference surface model based on the target tooth surface, and optimizing machining parameters based on the difference surface model to obtain new machining parameters; Based on the new processing parameters, the reference tooth surface and the target tooth surface, a loading contact analysis and a sensitivity analysis are performed on the tooth surface of the spiral bevel gear to obtain the target processing parameters, and the tooth surface of the spiral bevel gear is optimized according to the target processing parameters to obtain the target spiral bevel gear tooth surface; Determining initial micro-texture parameters, and based on the initial micro-texture parameters, placing micro-texture on the target spiral bevel gear tooth surface to construct a spiral bevel gear tooth surface containing micro-texture; An objective function and constraint conditions for optimizing micro-texture parameters are constructed, and a loading contact analysis is performed on the tooth surface of the spiral bevel gear containing micro-texture to obtain target micro-texture parameters that meet the objective function and the constraint conditions.

[0005] Compared with the prior art, the first aspect of the present application has the following beneficial effects: The method determines the initial processing parameters of the spiral bevel gear, and constructs the first spiral bevel gear tooth surface equation in the gear fixed coordinate system based on the initial processing parameters, wherein the spiral bevel gear includes a large spiral bevel gear and a small spiral bevel gear; the first spiral bevel gear tooth surface equation in the gear fixed coordinate system is converted into the second spiral bevel gear tooth surface equation in the meshing coordinate system; any spiral bevel gear tooth surface of the large spiral bevel gear and the small spiral bevel gear is used as the reference tooth surface, and the target tooth surface of the other spiral bevel gear is constructed based on the second spiral bevel gear tooth surface equation and ease-off; a difference surface model is constructed based on the target tooth surface, and the optimization is performed based on the difference surface model. The processing parameters are determined to obtain new processing parameters; based on the new processing parameters, the reference tooth surface and the target tooth surface, the spiral bevel gear tooth surface is subjected to loading contact analysis and sensitivity analysis to obtain the target processing parameters, and the spiral bevel gear tooth surface is optimized according to the target processing parameters to obtain the target spiral bevel gear tooth surface; the initial micro-texture parameters are determined, and based on the initial micro-texture parameters, micro-texture is placed on the target spiral bevel gear tooth surface to construct the spiral bevel gear tooth surface with micro-texture; the objective function and constraint conditions for optimizing the micro-texture parameters are constructed, and the spiral bevel gear tooth surface with micro-texture is subjected to loading contact analysis to obtain the target micro-texture parameters that meet the objective function and constraint conditions. In this way, after optimizing the processing parameters based on the difference surface model, the spiral bevel gear tooth surface is subjected to loading contact analysis and sensitivity analysis to obtain the target processing parameters, thereby obtaining the target spiral bevel gear tooth surface, and the spiral bevel gear tooth surface can be accurately modeled. Then, micro-texture was placed on the tooth surface of the target spiral bevel gear, and loaded contact analysis was performed on the tooth surface of the spiral bevel gear containing micro-texture to optimize the micro-texture parameters. The correlation between the tooth surface micro-texture and the contact transmission performance of the spiral bevel gear was established, thereby achieving the coordinated optimization design of the spiral bevel gear tooth surface and micro-texture.

[0006] In some embodiments, constructing a difference surface model based on the target tooth surface, and optimizing machining parameters based on the difference surface model to obtain new machining parameters includes: The difference surface model constructed based on the target tooth surface is: ; in, represents the discrete tooth surface points on the target tooth surface, represents the first discrete tooth surface points, Indicates the tool height, Indicates the tool rotation angle, represents the meshing angle, Indicates the processing parameters, , Indicates radial tool position, Indicates the tool position radius, Indicates the angular tool position. Indicates the vertical wheel position, Indicates the horizontal wheel position, Indicates bed space, represents the root cone installation angle, Indicates the knife turning angle, Indicates the blade inclination angle, The initial surface The normal vector corresponding to the discrete tooth surface point is The distance between the target tooth surface and the initial surface Normal distance of discrete tooth surface points; The difference surface model is regarded as a least squares problem; The LM algorithm is used to solve the least squares problem and obtain new processing parameters.

[0007] In some embodiments, the step of performing a loading contact analysis and a sensitivity analysis on the spiral bevel gear tooth surface based on the new processing parameters, the reference tooth surface, and the target tooth surface to obtain the target processing parameters includes: Acquire coordinates of two to-be-contacted points on the reference tooth surface and the target tooth surface; Based on the coordinates of the two points to be contacted, a contact condition equation is constructed; Adding disturbance to the new processing parameters to obtain an initial contact point and a no-load transfer error; Based on the initial contact point and the no-load transfer error, the contact condition equation is solved by using a finite element method to obtain a contact position, a contact pressure distribution, and a contact deformation; Determining a contact performance evaluation index based on the contact position, the contact pressure distribution, and the contact deformation; Based on the contact performance evaluation index, the contact performance changes under different disturbances are analyzed, and the sensitivity analysis of the contact performance changes is performed to obtain highly sensitive processing parameters; superimposing the contact deformation onto the target tooth surface to obtain a new target tooth surface; Optimizing the highly sensitive machining parameters based on the new target tooth surface to obtain optimized sensitive machining parameters; Based on the optimized sensitive processing parameters and the new processing parameters, target processing parameters are determined.

[0008] In some implementations, constructing a contact condition equation based on the coordinates of the two points to be contacted includes: ; in, represents the input load, Indicates that it acts on discrete small line segments The positive pressure on represents the main contact line segment, represents the location of the discrete positive pressure, represents a discrete small line segment, It represents the radius of the normal pressure on the rotating axis, represents the tooth surface geometric separation distance calculated according to the coordinates of the two contact points, It represents the displacement of the tooth surface contact point from the original position to the equilibrium position along the normal direction of the tooth surface. represents the equivalent Young's modulus of the gear pair, represents the equivalent radius of curvature of the gear pair, Indicates the processing parameters, represents the combined bending and shear flexibility of the gear teeth, represents the coordinates of the deflection measurement points in the contact area, Represents all discrete Find the integral.

[0009] In some embodiments, the step of inserting micro-texture on the tooth surface of the target spiral bevel gear based on the initial micro-texture parameters to construct the tooth surface of the spiral bevel gear containing micro-texture comprises: Based on the initial micro-texture parameters, constructing a micro-texture equation; According to the micro-texture equation, micro-texture is placed on the tooth surface of the target spiral bevel gear to construct the tooth surface of the spiral bevel gear containing micro-texture.

[0010] In some embodiments, according to the micro-texture equation, placing micro-texture on the tooth surface of the target spiral bevel gear to construct the tooth surface of the spiral bevel gear containing micro-texture includes: ; ; in, represents the spiral bevel gear tooth surface with micro texture, represents the coordinates of the tooth surface points in the x direction after considering the microtexture, represents the coordinates of the tooth surface points in the y direction after considering the microtexture, represents the coordinates of the tooth surface point in the z direction after considering the microtexture, represents the coordinates of the tooth surface point in the x direction without micro-texture, represents the coordinates of the tooth surface point in the y direction without micro-texture, represents the coordinates of the tooth surface point in the z direction without micro-texture, represents the normal vector of the tooth surface point, represents the microtexture equation, represents the target spiral bevel gear tooth surface, Indicates the working area of ​​the tooth surface, Indicates the transition area. represents the tooth root area, Indicates the tool height, Indicates the tool rotation angle, Represents the engagement angle.

[0011] In some embodiments, the objective function and constraints for optimizing microtexture parameters are constructed, including: The objective function for optimizing microtexture parameters is constructed as follows: ; The constraints for constructing the optimized microtexture parameters are: ; in, Represents little endian, Indicates the tooth top, Indicates big endian, Represents tooth root, Indicates contact marks, represents the microtexture width, Indicates the oil film thickness, represents the oil film thickness without micro-texture, represents the amplitude of the transmission error of the inserted microtexture, represents the transmission error amplitude without micro-texture, represents the stress gradient, Represents the maximum allowable stress gradient.

[0012] In a second aspect, the embodiment of the present application further provides a spiral bevel gear tooth surface and micro-texture collaborative optimization design system, the system comprising: A first tooth surface construction unit, used for determining initial processing parameters of the spiral bevel gear, and constructing a first spiral bevel gear tooth surface equation in a gear fixed coordinate system based on the initial processing parameters, wherein the spiral bevel gear includes a large spiral bevel gear and a small spiral bevel gear; A second tooth surface construction unit, used for converting the tooth surface equation of the first spiral bevel gear in the gear fixed coordinate system into the tooth surface equation of the second spiral bevel gear in the meshing coordinate system; a target tooth surface construction unit, configured to use the tooth surface of any one of the large spiral bevel gear and the small spiral bevel gear as a reference tooth surface, and to construct a target tooth surface of the other spiral bevel gear based on the tooth surface equation of the second spiral bevel gear and ease-off; A machining parameter optimization unit, used for constructing a difference surface model based on the target tooth surface, and optimizing machining parameters based on the difference surface model to obtain new machining parameters; A gear tooth surface optimization unit, configured to perform a loading contact analysis and a sensitivity analysis on the spiral bevel gear tooth surface based on the new processing parameters, the reference tooth surface and the target tooth surface to obtain target processing parameters, and optimize the spiral bevel gear tooth surface according to the target processing parameters to obtain a target spiral bevel gear tooth surface; Inserting a micro-texture unit to determine initial micro-texture parameters, and inserting micro-texture on the tooth surface of the target spiral bevel gear based on the initial micro-texture parameters to construct a spiral bevel gear tooth surface containing micro-texture; The micro-texture parameter optimization unit is used to construct an objective function and constraint conditions for optimizing micro-texture parameters, and perform loading contact analysis on the tooth surface of the spiral bevel gear containing micro-texture to obtain target micro-texture parameters that meet the objective function and the constraint conditions.

[0013] In the third aspect, an embodiment of the present application also provides an electronic device, comprising at least one control processor and a memory for communicating with the at least one control processor; the memory stores instructions that can be executed by the at least one control processor, and the instructions are executed by the at least one control processor so that the at least one control processor can execute the above-mentioned method for collaborative optimization design of spiral bevel gear tooth surface and micro-texture.

[0014] In a fourth aspect, an embodiment of the present application further provides a computer-readable storage medium, wherein the computer-readable storage medium stores computer-executable instructions, and the computer-executable instructions are used to enable a computer to execute a method for collaborative optimization design of spiral bevel gear tooth surface and micro-texture as described above.

[0015] It can be understood that the beneficial effects of the second to fourth aspects compared with the related art are the same as the beneficial effects of the first aspect compared with the related art. Please refer to the relevant description in the first aspect, and no further details will be given here. BRIEF DESCRIPTION OF THE DRAWINGS

[0016] The above and / or additional aspects and advantages of the present application will become apparent and easily understood from the description of the embodiments in conjunction with the following drawings, in which: Figure 1It is a schematic flow chart of an embodiment of a method for collaborative optimization design of spiral bevel gear tooth surface and micro-texture provided by the present application; Figure 2 It is a schematic diagram of the overall process in the best embodiment of the method for collaborative optimization design of spiral bevel gear tooth surface and micro-texture provided by the present application; Figure 3 It is a schematic diagram of a gear machining coordinate system in a best embodiment of the spiral bevel gear tooth surface and micro-texture collaborative optimization design method provided by the present application; Figure 4 It is a schematic diagram of a gear blank discretization method in a best embodiment of the spiral bevel gear tooth surface and micro-texture collaborative optimization design method provided by the present application; Figure 5 It is a schematic diagram of the installation position of the spiral bevel gear in the best embodiment of the spiral bevel gear tooth surface and micro-texture collaborative optimization design method provided by the present application; Figure 6 It is a schematic diagram of the complete conjugate surface, target tooth surface and correction principle in the best embodiment of the spiral bevel gear tooth surface and micro-texture collaborative optimization design method provided by the present application; Figure 7 It is a schematic diagram of loading contact analysis and tooth surface optimization in the best embodiment of the spiral bevel gear tooth surface and micro-texture collaborative optimization design method provided by the present application; Figure 8 It is a schematic diagram of a square array texture of a spiral bevel gear in a best embodiment of the method for collaborative optimization design of spiral bevel gear tooth surface and micro-texture provided by the present application; Fig. 9 It is a schematic diagram of basic types of micro-textures in the best embodiment of the method for collaborative optimization design of spiral bevel gear tooth surface and micro-texture provided by the present application; Fig.10 It is a structural schematic diagram of an embodiment of a spiral bevel gear tooth surface and micro-texture collaborative optimization design system provided in the present application. DETAILED DESCRIPTION

[0017] The embodiments of the present application are described in detail below, and examples of the embodiments are shown in the accompanying drawings, wherein the same or similar reference numerals throughout represent the same or similar elements or elements having the same or similar functions. The embodiments described below with reference to the accompanying drawings are exemplary and are only used to explain the present application, and cannot be understood as limiting the present application.

[0018] In the description of this application, if there is a description of first, second, etc., it is only for the purpose of distinguishing technical features, and cannot be understood as indicating or implying relative importance or implicitly indicating the number of the indicated technical features or implicitly indicating the order of the indicated technical features.

[0019] In the description of the present application, it should be understood that the descriptions involving orientation, such as the orientation or positional relationship indicated as up, down, etc., are based on the orientation or positional relationship shown in the drawings, and are only for the convenience of describing the present application and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore should not be understood as a limitation on the present application.

[0020] In the description of this application, it should be noted that, unless otherwise clearly defined, terms such as setting, installing, connecting, etc. should be understood in a broad sense, and technicians in the relevant technical field can reasonably determine the specific meaning of the above terms in this application based on the specific content of the technical solution.

[0021] The existing related technical solutions have the following problems: 1. The correlation between the textured structure and the contact transmission performance of spiral bevel gears is unclear and lacks rationality; 2. The current micro-texture design methods are mostly aimed at ordinary gears, and insufficient consideration is given to the spatial surface characteristics of spiral bevel gears, making it difficult to achieve the coordinated optimization of tooth surface micro-texture and the overall gear design parameters.

[0022] In order to solve the above-mentioned problems, the present application proposes a method, system and equipment for collaborative optimization design of spiral bevel gear tooth surface and micro-texture.

[0023] Reference Figure 1 The embodiment of the present application provides a method for collaborative optimization design of spiral bevel gear tooth surface and micro-texture, the method comprising the following steps: Step S100, determining initial processing parameters of the spiral bevel gear, and constructing a first spiral bevel gear tooth surface equation in a gear fixed coordinate system based on the initial processing parameters, wherein the spiral bevel gear includes a large spiral bevel gear and a small spiral bevel gear; Step S200, converting the tooth surface equation of the first spiral bevel gear in the gear fixed coordinate system into the tooth surface equation of the second spiral bevel gear in the meshing coordinate system; Step S300, taking the tooth surface of any one of the large spiral bevel gear and the small spiral bevel gear as a reference tooth surface, and constructing a target tooth surface of another spiral bevel gear based on the tooth surface equation of the second spiral bevel gear and ease-off; Step S400, constructing a difference surface model based on the target tooth surface, and optimizing machining parameters based on the difference surface model to obtain new machining parameters; Step S500: Based on the new processing parameters, the reference tooth surface and the target tooth surface, a loading contact analysis and a sensitivity analysis are performed on the spiral bevel gear tooth surface to obtain the target processing parameters, and the spiral bevel gear tooth surface is optimized according to the target processing parameters to obtain the target spiral bevel gear tooth surface; Step S600, determining initial micro-texture parameters, and based on the initial micro-texture parameters, inserting micro-texture on the target spiral bevel gear tooth surface to construct a spiral bevel gear tooth surface containing micro-texture; Step S700: construct an objective function and constraint conditions for optimizing micro-texture parameters, and perform loading contact analysis on the tooth surface of the spiral bevel gear containing micro-texture to obtain target micro-texture parameters that meet the objective function and constraint conditions.

[0024] In this embodiment, the initial processing parameters of the spiral bevel gear are determined, and the first spiral bevel gear tooth surface equation in the gear fixed coordinate system is constructed based on the initial processing parameters, wherein the spiral bevel gear includes a large spiral bevel gear and a small spiral bevel gear; the first spiral bevel gear tooth surface equation in the gear fixed coordinate system is converted into the second spiral bevel gear tooth surface equation in the meshing coordinate system; any spiral bevel gear tooth surface of the large spiral bevel gear and the small spiral bevel gear is used as the reference tooth surface, and the target tooth surface of the other spiral bevel gear is constructed based on the second spiral bevel gear tooth surface equation and ease-off; a difference surface model is constructed based on the target tooth surface, and an optimization is performed based on the difference surface model. Optimize the processing parameters to obtain new processing parameters; based on the new processing parameters, the reference tooth surface and the target tooth surface, perform loading contact analysis and sensitivity analysis on the spiral bevel gear tooth surface to obtain the target processing parameters, and optimize the spiral bevel gear tooth surface according to the target processing parameters to obtain the target spiral bevel gear tooth surface; determine the initial micro-texture parameters, and based on the initial micro-texture parameters, insert micro-texture on the target spiral bevel gear tooth surface to construct the spiral bevel gear tooth surface with micro-texture; construct the objective function and constraint conditions for optimizing the micro-texture parameters, and perform loading contact analysis on the spiral bevel gear tooth surface with micro-texture to obtain the target micro-texture parameters that meet the objective function and constraint conditions. In this way, after optimizing the processing parameters based on the difference surface model, the spiral bevel gear tooth surface is subjected to loading contact analysis and sensitivity analysis to obtain the target processing parameters, thereby obtaining the target spiral bevel gear tooth surface, and the spiral bevel gear tooth surface can be accurately modeled. Then, micro-texture was placed on the tooth surface of the target spiral bevel gear, and loaded contact analysis was performed on the tooth surface of the spiral bevel gear containing micro-texture to optimize the micro-texture parameters. The correlation between the tooth surface micro-texture and the contact transmission performance of the spiral bevel gear was established, thereby achieving the coordinated optimization design of the spiral bevel gear tooth surface and micro-texture.

[0025] In some embodiments, a difference surface model is constructed based on the target tooth surface, and processing parameters are optimized based on the difference surface model to obtain new processing parameters, including: The difference surface model based on the target tooth surface is: ; in, represents the discrete tooth surface points on the target tooth surface, represents the first Discrete tooth surface points, Indicates the tool height, Indicates the tool rotation angle, represents the meshing angle, Indicates the processing parameters, , Indicates radial tool position, Indicates the tool position radius, Indicates the angular tool position. Indicates the vertical wheel position, Indicates the horizontal wheel position, Indicates bed space, represents the root cone installation angle, Indicates the knife turning angle, Indicates the blade inclination angle, The initial surface The normal vector corresponding to the discrete tooth surface point is The distance between the target tooth surface and the initial surface Normal distance of discrete tooth surface points; Treat the difference surface model as a least squares problem; The LM algorithm is used to solve the least squares problem and obtain new processing parameters.

[0026] In some embodiments, based on the new processing parameters, the reference tooth surface and the target tooth surface, a loading contact analysis and a sensitivity analysis are performed on the spiral bevel gear tooth surface to obtain the target processing parameters, including: Obtain the coordinates of two contact points on the reference tooth surface and the target tooth surface; Based on the coordinates of the two points to be contacted, the contact condition equation is constructed; Add disturbance to the new processing parameters to obtain the initial contact point and no-load transfer error; Based on the initial contact point and no-load transfer error, the finite element method is used to solve the contact condition equation to obtain the contact position, contact pressure distribution and contact deformation. Determine the contact performance evaluation index based on the contact position, contact pressure distribution and contact deformation; Based on the contact performance evaluation index, the contact performance changes under different disturbances are analyzed, and the sensitivity analysis of the contact performance changes is performed to obtain highly sensitive processing parameters; The contact deformation is superimposed on the target tooth surface to obtain a new target tooth surface; Based on the new target tooth surface, the highly sensitive machining parameters are optimized to obtain the optimized sensitive machining parameters; Based on optimizing the sensitive processing parameters and the new processing parameters, the target processing parameters are determined.

[0027] In this embodiment, a contact performance evaluation index is obtained through contact performance analysis, and then a sensitivity analysis is performed based on the contact performance evaluation index to obtain highly sensitive processing parameters. Only these highly sensitive processing parameters need to be optimized again, and non-highly sensitive processing parameters do not need to be optimized again, which improves the efficiency of processing parameter optimization and enables accurate modeling of the tooth surface of the spiral bevel gear in the later stage.

[0028] In some implementations, based on the coordinates of the two points to be contacted, a contact condition equation is constructed, including: ; in, represents the input load, Indicates that it acts on discrete small line segments The positive pressure on represents the main contact line segment, represents the location of the discrete positive pressure, represents a discrete small line segment, It represents the radius of the normal pressure on the rotating axis, represents the geometric separation distance of the tooth surface calculated based on the coordinates of the two contact points, It represents the displacement of the tooth surface contact point from the original position to the equilibrium position along the normal direction of the tooth surface. represents the equivalent Young's modulus of the gear pair, represents the equivalent radius of curvature of the gear pair, Indicates the processing parameters, represents the combined bending and shear flexibility of the gear teeth, represents the coordinates of the deflection measurement points in the contact area, Represents all discrete Find the integral.

[0029] In some embodiments, based on the initial micro-texture parameters, micro-texture is placed on the target spiral bevel gear tooth surface to construct the spiral bevel gear tooth surface containing micro-texture, including: Based on the initial micro-texture parameters, a micro-texture equation is constructed; According to the micro-texture equation, micro-texture is placed on the tooth surface of the target spiral bevel gear, and the spiral bevel gear tooth surface containing micro-texture is constructed.

[0030] In this embodiment, micro-texture is placed on the tooth surface of the target spiral bevel gear to lay a good data foundation for the subsequent loading contact analysis.

[0031] In some embodiments, according to the micro-texture equation, micro-texture is placed on the tooth surface of the target spiral bevel gear to construct the tooth surface of the spiral bevel gear containing micro-texture, including: ; ; in, represents the spiral bevel gear tooth surface with micro texture, represents the coordinates of the tooth surface points in the x direction after considering the microtexture, represents the coordinates of the tooth surface points in the y direction after considering the microtexture, represents the coordinates of the tooth surface point in the z direction after considering the microtexture, represents the coordinates of the tooth surface point in the x direction without micro-texture, represents the coordinates of the tooth surface point in the y direction without micro-texture, represents the coordinates of the tooth surface point in the z direction without micro-texture, represents the normal vector of the tooth surface point, represents the microtexture equation, represents the target spiral bevel gear tooth surface, Indicates the working area of ​​the tooth surface, Indicates the transition area. represents the tooth root area, Indicates the tool height, Indicates the tool rotation angle, Represents the engagement angle.

[0032] In some embodiments, constructing an objective function and constraints for optimizing microtexture parameters includes: The objective function for optimizing microtexture parameters is constructed as follows: ; The constraints for constructing the optimized microtexture parameters are: ; in, Represents little endian, Indicates the tooth top, Indicates big endian, Represents tooth root, Indicates contact marks, represents the microtexture width, Indicates the oil film thickness, represents the oil film thickness without micro-texture, represents the amplitude of the transmission error of the inserted microtexture, represents the transmission error amplitude without micro-texture, represents the stress gradient, Represents the maximum allowable stress gradient.

[0033] In this embodiment, by constructing the objective function and constraint conditions for optimizing the micro-texture parameters, the optimized target micro-texture parameters are made to meet the objective function and constraint conditions, so that the optimized spiral bevel gear has the best load-bearing capacity.

[0034] To facilitate understanding by those skilled in the art, a set of best embodiments is provided below: This embodiment is to solve some problems existing in the prior art: the correlation between the textured structure and the contact transmission performance of the spiral bevel gear is unclear and lacks rationality; the current micro-texture design methods are mostly aimed at ordinary gears, and the spatial surface characteristics of the spiral bevel gear are not considered enough, making it difficult to achieve the coordinated optimization of the tooth surface micro-texture and the overall design parameters of the gear. This embodiment proposes a method for the coordinated optimization design of the tooth surface and micro-texture of the spiral bevel gear based on loading contact analysis, referring to Figure 2 The technical solution of this embodiment specifically includes the following steps: Step 1: Establish the spiral bevel gear tooth surface equation.

[0035] Through the numerical simulation of spiral bevel gear processing, an accurate spiral bevel gear tooth surface equation is established to provide input for the spiral bevel gear loading contact analysis and the construction of the gear model with micro texture. The specific implementation method is as follows: Step 1.1. Based on the established cutterhead equation, the gear machining coordinate system is as follows: Figure 3 As shown in the figure, the spiral bevel gear tooth surface equation is derived from the numerical simulation of the spiral bevel gear processing process and the meshing principle. Among them, the spiral bevel gear includes a large spiral bevel gear (i.e., a large wheel) and a small spiral bevel gear (i.e., a small wheel).

[0036] is the coordinate system fixed to the cutterhead (i.e. the gear-fixed coordinate system), the cutterhead equation In the coordinate system The following can be expressed as: (1); in, represents the radius of the cutter head, Indicates the tool pressure angle. When tool modification is considered, it needs to be remapped by establishing an imaginary straight line tool. Establishing an imaginary straight line tool is a well-known technology in the art and will not be described in detail in this embodiment. represents the tool surface parameters, Indicates the tool rotation angle, Indicates the tool height, represents a small spiral bevel gear, Indicates a large spiral bevel gear.

[0037] The spiral bevel gear tooth surface equation can be derived from the relative relationship between the tool and the gear blank during the machining process, and can be written based on the concept of universal motion as: (2); in, represents the tool surface cluster equation, represents the coordinate transformation matrix, Represents the workpiece, Indicates the tool, its specific form is related to the specific processing method. Indicates radial tool position, Indicates the tool position radius, Indicates the angular tool position. Indicates the vertical wheel position, Indicates the horizontal wheel position, Indicates bed space, represents the root cone installation angle, Indicates the knife turning angle, Indicates the blade inclination angle, Indicates the rocking table angle. Represents the tool normal vector.

[0038] The spiral bevel gear tooth surface is formed by the cylindrical tool envelope, satisfying the following meshing equation: (3); in, represents the spiral bevel gear tooth surface equation (i.e. the first spiral bevel gear tooth surface equation), Represents the value of the tool normal vector in the machining coordinate system, Indicates the relative speed between the tool and the gear blank.

[0039] Step 1.2. Solve the tooth surface equation.

[0040] Formula (3) can be solved by discrete gear blank method to obtain regular tooth surface points, which provides a basis for subsequent topology optimization. The specific implementation process is as follows: Figure 4 (a) is the motion trajectory of the cutter contour demarcation point. The demarcation line of the tooth surface working area, transition area and tooth root fillet (i.e., tooth root area) is obtained by equation (2) in step 1.1. It is projected onto the two-dimensional diagram of the tooth blank. The two-dimensional projection area of ​​the spiral bevel gear tooth blank is divided and evenly discretized, as shown in Figure 4 As shown in (b).

[0041] By uniformly discretizing the tooth surface area, there exists: (4); In the formula, [ , , ]express The components along the x, y and z axes in the gear fixed coordinate system, Indicates the distance between the discrete point and the rotation axis of the gear blank. Represents the distance between the discrete point and the vertex of the pitch cone of the gear blank. The regular tooth surface points are obtained by combining equations (2), (3) and (4).

[0042] Step 2: Tooth surface design plan.

[0043] The initial processing parameters are determined with the transmission error, contact mark position and contact mark size requirements as constraints. The processing parameters of the small wheel can be determined, and the processing parameters of the large wheel can also be determined. If the processing parameters of the small wheel are determined, the large wheel tooth surface is used as the reference; if the processing parameters of the large wheel are determined, the small wheel tooth surface is used as the reference.

[0044] Step 2.1. Spiral bevel gear contact analysis model: The installation position of the spiral bevel gear is shown in Figure 5. The tooth surface equation in the gear fixed coordinate system is transformed to the meshing coordinate system through coordinate transformation In the process, the large and small wheels of the gear pair are represented by unified coordinates. For the tooth contact point at a certain moment, there is the following formula: (5); in, represents the tooth surface equation of the spiral bevel gear in the meshing coordinate system (i.e. the tooth surface equation of the second spiral bevel gear), represents the transformation matrix from the fixed coordinate system of the gear to the meshing coordinate system, represents the axis intersection angle, It represents the rotation angle of the gear pair from the initial position to the meshing position, that is, the meshing angle. According to the continuous contact condition of the differential geometry surface, there is the following formula: (6); in, represents the radial vector of the contact point on the small wheel, represents the radial vector of the contact point on the large wheel, represents the normal vector of the contact point on the small wheel, Represents the normal vector of the contact point on the large wheel.

[0045] 2.2. Solving processing parameters.

[0046] 2.2.1. Constructing the target tooth surface based on ease-off. Specifically, the target tooth surface of the small wheel is constructed based on the reference tooth surface of the small wheel and the transmission error and contact mark constraints. The ease-off of this embodiment is a prior art and will not be described in detail in this embodiment.

[0047] To construct the target tooth surface of the small wheel, that is, the optimized tooth surface of the small wheel First, we need to construct a reference surface Based on the determined processing parameters, after step 1, the large wheel curved tooth surface is obtained. . and Constraints to be met: Relatively large gear tooth surface They have the same motion law. Therefore, according to the line contact principle, we can find the completely conjugate surface of the large wheel, that is, When the small gear tooth surface is completely conjugate with the large gear tooth surface, the large gear meshing angle is Meshing angle with small wheel satisfy: (7); in, represents the meshing angle of the small wheel, represents the meshing angle of the large wheel, represents the meshing angle at the design reference point of the large wheel, represents the meshing angle at the design reference point of the pinion, Indicates the number of small gear teeth, Indicates the number of large gear teeth, The no-load transmission error amplitude at the meshing transition point is represented by Equation (5). The rotation angle of any point on the large gear tooth surface when it enters the meshing position can be solved, and the corresponding small gear meshing rotation angle can be obtained by solving Equation (7). , further and Substituting into equation (6), we can obtain the small wheel tooth surface that is completely conjugate with the large wheel and satisfies the symmetrical parabolic transmission error: To preset the contact trace and modify the shape along the meshing line of the small wheel, as shown in Figure 6, the surface The coordinate value (L, R) of any point on the pinion tooth surface in the rotational projection section must still satisfy equation (4).

[0048] When optimizing the tooth surface contact performance, usually only the small wheel tooth surface is optimized, so the optimized large wheel tooth surface and The same, but the large wheel tooth surface can also be optimized, so the optimized small wheel tooth surface and Consistent. This embodiment takes the optimization of the tooth surface contact performance of the small wheel tooth surface as an example, so the target tooth surface of the small wheel is constructed in step 2.2.1. It should be noted that this embodiment can also optimize the tooth surface contact performance of the large wheel tooth surface, that is, the same ease-off method can be used in step 2.2.1 to construct the target tooth surface of the large wheel. In the optimization of the tooth surface contact performance, the optimization method of the large wheel is basically the same as that of the small wheel, and this embodiment will not repeat the description. According to the mapping relationship between the ease-off surface and the transmission error and contact performance, the preset no-load transmission error amplitude can be used. , contact path and major axis of instantaneous contact ellipse to obtain optimized tooth surface of gear pair and .

[0049] 2.2.2. Solving processing parameters.

[0050] The initial machining parameters of the large wheel and small wheel are obtained from the gear pair tooth blank parameters and the local conjugate principle, and the large wheel surface is established. With the initial small wheel surface . And input it into step 2.2.1 to obtain the optimized tooth surface of the small wheel (since this is the optimization target of the subsequent optimization algorithm, it is also called the target tooth surface in the text) Based on the target tooth surface of the small wheel With the initial small wheel surface , construct the difference surface model: (8); in, represents the discrete tooth surface points on the target tooth surface, Indicates the target tooth surface With the initial surface Between The normal distance of discrete tooth surface points, equation (8) can be regarded as a least squares problem: (9); Based on the LM algorithm, new processing parameters are obtained .

[0051] 2.3. Tooth surface model update.

[0052] Input the processing parameters output from 2.2 into step 1 to obtain the updated spiral bevel gear tooth surface equation.

[0053] Step 3: Loading contact model of spiral bevel gear.

[0054] Based on the contact condition equation, the loaded contact model of the spiral bevel gear is established, and the finite element method is combined to obtain the loaded contact imprint (which can be obtained through the contact position and pressure distribution) and the tooth surface deformation. By changing the processing parameters, the influence on the contact performance is explored, and a sensitivity analysis is performed to select the processing parameters that have a greater impact on the contact performance. According to the results of the sensitivity analysis, a tooth surface optimization strategy is formulated, and step 2 is executed repeatedly to finally obtain the tooth surface design scheme with the best contact performance of the gear pair under specific working conditions.

[0055] 3.1. Loading contact analysis of spiral bevel gears.

[0056] When known and After the coordinate and no-load transfer errors, the loading contact analysis process is shown in Figure 7. and Pinion tooth surface And large gear tooth surface After the load is applied to the spiral bevel gear pair, it is necessary to eliminate the gear tooth geometric clearance and balance the load. Segmented, the length of each discrete small segment is set to , the contact condition equation is expressed as: (10); in, represents the input load, Indicates that it acts on discrete small line segments The positive pressure on represents the main contact line segment, represents the location of the discrete positive pressure, represents a discrete small line segment, It represents the radius of the normal pressure on the rotating axis, represents the tooth surface geometric separation distance calculated according to the coordinates of the two contact points, It represents the displacement of the tooth surface contact point from the original position to the equilibrium position along the normal direction of the tooth surface. represents the equivalent Young's modulus of the gear pair, , represents the equivalent radius of curvature of the gear pair, , represents Poisson's ratio, subscripts 1 and 2 represent the small wheel and the large wheel respectively, Indicates the processing parameters, represents the combined bending and shear flexibility of the gear teeth, represents the coordinates of the deflection measurement points in the contact area, Represents all discrete Find the integral.

[0057] The contact condition equation is solved based on the finite element method to obtain the contact position, contact pressure distribution and contact deformation. By applying the vector rotation algorithm (the vector rotation algorithm is a technology well known to those skilled in the art and is not described in detail in this embodiment), the no-load transfer error can be effectively obtained. Based on the contact position and contact pressure distribution, the contact imprint visualization technology is applied, and the distance from the imprint to the tooth surface boundary is used as one of the important evaluation indicators of contact performance. When the pressure distribution and contact deformation are known, the maximum contact stress can also be calculated. The maximum contact stress of the tooth surface and the amplitude of the loading transfer error are also used as evaluation indicators of contact performance. Combined with the distance from the imprint to the tooth surface boundary, a scientific basis is provided for the optimization of the tooth surface.

[0058] 3.2. Tooth surface optimization strategy.

[0059] By introducing small disturbances into the initial processing parameters, comparing the changes in tooth surface contact performance under different disturbance conditions, deeply analyzing the influence of various processing parameters on tooth surface contact performance, and conducting sensitivity analysis. According to the results of sensitivity analysis, the key processing parameters with greater influence on tooth surface contact performance are screened out. Combined with multi-objective optimization requirements such as tooth surface contact stress and transmission error, targeted tooth surface optimization strategies are formulated for these key processing parameters. In order to improve the optimization calculation efficiency, considering the multi-objective optimization requirements such as tooth surface contact stress and transmission error, the following optimization strategy is formulated: the highly sensitive processing parameters with more significant impact on the target are selected as optimization variables, while the remaining processing parameters are consistent with the initial processing parameters in 2.2.2. Subsequently, the expected tooth surface deformation is superimposed on the target tooth surface constructed in step 2.2.1 to form a new target tooth surface. The target tooth surface approximation problem is transformed into a least squares problem, and the LM algorithm is used to accurately solve the processing parameters (that is, to obtain the target processing parameters). Through this series of optimization measures, the purpose of optimizing the tooth surface loading contact performance is finally achieved to obtain the target spiral bevel gear tooth surface.

[0060] Step 4: Spiral bevel gear micro-weave design and topology optimization method.

[0061] After the operations of steps 1, 2, and 3, the spiral bevel gear pair without micro-texture features that meets the requirements has been successfully designed. Based on the constraints of oil film formation conditions and contact performance, the geometric parameters of the micro-texture (such as depth, spacing, and shape, etc.) are optimized to promote the stable formation of the lubricating film and reduce the impact on the load-bearing capacity; a tooth surface micro-texture model is established and placed on the spiral bevel gear tooth surface to form a spiral bevel gear model that comprehensively considers tooth surface modification and micro-texture; input step 3 to obtain the tooth surface loading contact performance; apply the topology optimization method to optimize the distribution and size of the micro-texture to further improve the tooth surface load-bearing capacity and lubrication effect.

[0062] 4.1. Microtexture insertion and gear model construction.

[0063] According to the principle of bionics similarity, a micro-texture with anti-wear and friction reduction function is selected, based on the gear load contact analysis results after preliminary modification (i.e., the optimized target spiral bevel gear tooth surface equation obtained by steps 1 to 3 without adding micro-texture), and then the micro-texture insertion area and micro-texture parameters are selected on the tooth surface. The micro-texture of this embodiment adopts square array pits, and the parameters of the square array texture include width ,depth , axial spacing , Circumferential spacing , aspect ratio and density .in, (11); (12); In the gear normal direction, the micro texture is constructed, as shown in Figure 8. Consider establishing the micro texture equation as: (13); The micro-texture is mapped onto the spiral bevel gear tooth surface with ideal contact performance (i.e., the target spiral bevel gear tooth surface obtained in step 3), and the mathematical model of the spiral bevel gear tooth surface with micro-texture is obtained: (14); (15); in, represents the spiral bevel gear tooth surface with micro texture, represents the coordinates of the tooth surface points in the x direction after considering the microtexture, represents the coordinates of the tooth surface points in the y direction after considering the microtexture, represents the coordinates of the tooth surface point in the z direction after considering the microtexture, represents the coordinates of the tooth surface point in the x direction without micro-texture, represents the coordinates of the tooth surface point in the y direction without micro-texture, represents the coordinates of the tooth surface point in the z direction without micro-texture, represents the normal vector of the tooth surface point, represents the microtexture equation, represents the target spiral bevel gear tooth surface, that is, the tooth surface without micro-texture. The equation distinguishes the tooth surface area, as shown in Figure 8. Indicates the working area of ​​the tooth surface, Indicates the transition area. Represents the tooth root area. The tooth surface without micro-texture is the spiral bevel gear tooth surface with ideal contact performance. The tooth surface point coordinates, tooth root area, tooth surface working area and transition area without micro-texture can be calculated in the same way as in step 1.2, and will not be repeated here.

[0064] 4.2. Determination of initial microtexture parameters.

[0065] Reference Fig. 9 , Fig. 9 (a), (b), (c) and (d) are all basic types of micro-textures. Define different basic types of micro-textures and select the texture type. When selecting micro-texture parameters, it is necessary to ensure that they meet the oil film formation conditions and minimize the weakening effect on the gear load-bearing capacity. Taking the square array pits as an example, the initial selection of its parameters should follow the following principles: 1) Width :During the transmission process of spiral bevel gears, the area of ​​the instantaneous contact area is very small due to the unique curved surface contact of spiral bevel gears. If the micro texture size is too small, it cannot effectively store lubricating oil and wear debris; if the size is too large, the lubricating oil will escape, increase the contact stress, and weaken the bearing capacity of the gear pair. As the micro texture width The initial design value of .

[0066] 2) Depth :Microtexture depth It has a significant impact on the lubrication performance of the specimen surface. Too shallow a depth will destroy the boundary layer and fail to store lubricating oil and wear debris; too deep a depth will make it difficult to form high fluid dynamic pressure and fail to effectively improve lubrication performance. 100μm was selected as the micro-texture depth. The initial design value of .

[0067] 3) Density :Microtexture density has a significant effect on the performance of surface microtexture and the contact stress of the contact surface. Studies have shown that when the microtexture density is in the range of 10% to 30%, the microtexture can effectively play a role in reducing friction and resisting wear. 30% is selected as the microtexture density. The initial design value of .

[0068] (16); 4.3. Topology optimization.

[0069] Taking the square array pits as an example, topology optimization is performed based on the variable density method. The optimization area is discretized with a limited number of grid cells, and a density value of 0 or 1 is assigned to each grid cell, where 0 means that the grid cell does not contain material, and 1 means that the grid cell is filled with material. Through the binary material allocation method, the structural distribution of the optimization area is discretized and simulated, thereby realizing a refined material layout design. In order to maximize the load-bearing capacity of the optimized spiral bevel gear, the contact mark is maximized as the objective function, that is, the distance between the contact mark and the large end, small end, tooth top, and tooth root is minimized. The load transfer error is calculated. TE , no stress concentration at the edge of the texture, and no stress concentration at the edge of the texture are used as constraints. No stress concentration in the tooth surface area can also be expressed as the distance from the contact mark to the small end, tooth top, large end, and tooth root is a non-negative number.

[0070] The mathematical model of topology optimization is expressed as follows: Objective function: (17); Constraints: (18); in, Represents little endian, Indicates the tooth top, Indicates big endian, Represents tooth root, Indicates contact marks, Indicates the distance from the contact mark to the small end, tooth top, large end, and tooth root. represents the microtexture width, Indicates the oil film thickness, represents the thickness of the oil film without micro-texture, which can be obtained by fluid calculation analysis using the equivalent point contact model. represents the amplitude of the transmission error of the inserted microtexture, represents the transmission error amplitude without micro-texture, represents the stress gradient, represents the maximum allowable stress gradient [1].

[0071] Step 5, iterative optimization: loop through step 3, select different types of microtextures by adjusting the contact imprint and the transmission error curve, and execute step 4 to establish a spiral bevel gear model with microtextures inserted, obtain the optimal parameters under the current microtexture type, and obtain the spiral bevel gear tooth surface and microtexture collaborative design with the best gear pair interface contact performance under specific working conditions.

[0072] Compared with the prior art, the technical solution of this embodiment has the following advantages: (1) To explore the relationship between the characteristic parameters of the tooth surface bionic micro-texture, such as shape, size, density and distribution form, and the loading contact analysis of the spiral bevel gear tooth surface, and to provide a basis for the rational design of micro-texture parameters.

[0073] (2) Ensure the rationality of tooth surface and micro-texture design to meet actual performance requirements, while reducing the number of design iterations and improving design efficiency.

[0074] Reference Fig.10 The embodiment of the present application also provides a spiral bevel gear tooth surface and micro-texture collaborative optimization design system, which includes a first tooth surface construction unit 100, a second tooth surface construction unit 200, a target tooth surface construction unit 300, a processing parameter optimization unit 400, a gear tooth surface optimization unit 500, a micro-texture insertion unit 600 and a micro-texture parameter optimization unit 700, wherein: A first tooth surface construction unit 100 is used to determine initial processing parameters of the spiral bevel gear, and construct a first spiral bevel gear tooth surface equation in a gear fixed coordinate system based on the initial processing parameters, wherein the spiral bevel gear includes a large spiral bevel gear and a small spiral bevel gear; The second tooth surface construction unit 200 is used to convert the tooth surface equation of the first spiral bevel gear in the gear fixed coordinate system into the tooth surface equation of the second spiral bevel gear in the meshing coordinate system; A target tooth surface construction unit 300 is used to use the tooth surface of any one of the large spiral bevel gear and the small spiral bevel gear as a reference tooth surface, and to construct a target tooth surface of the other spiral bevel gear based on the tooth surface equation of the second spiral bevel gear and ease-off; A machining parameter optimization unit 400 is used to construct a difference surface model based on the target tooth surface, and optimize machining parameters based on the difference surface model to obtain new machining parameters; The gear tooth surface optimization unit 500 is used to perform loading contact analysis and sensitivity analysis on the spiral bevel gear tooth surface based on the new processing parameters, the reference tooth surface and the target tooth surface to obtain the target processing parameters, and optimize the spiral bevel gear tooth surface according to the target processing parameters to obtain the target spiral bevel gear tooth surface; An inserting micro-texture unit 600 is used to determine initial micro-texture parameters, and based on the initial micro-texture parameters, insert micro-texture on the target spiral bevel gear tooth surface to construct a spiral bevel gear tooth surface containing micro-texture; The micro-texture parameter optimization unit 700 is used to construct the objective function and constraint conditions for optimizing the micro-texture parameters, and perform loading contact analysis on the tooth surface of the spiral bevel gear containing micro-texture to obtain the target micro-texture parameters that meet the objective function and constraint conditions.

[0075] It should be noted that since the spiral bevel gear tooth surface and micro-texture collaborative optimization design system in this embodiment and the above-mentioned spiral bevel gear tooth surface and micro-texture collaborative optimization design method are based on the same inventive concept, the corresponding contents in the method embodiment are also applicable to the system embodiment and will not be described in detail here.

[0076] An embodiment of the present application also provides an electronic device, comprising: at least one control processor and a memory for communicating with the at least one control processor.

[0077] The memory, as a non-transient computer-readable storage medium, can be used to store non-transient software programs and non-transient computer executable programs. In addition, the memory may include a high-speed random access memory, and may also include a non-transient memory, such as at least one disk storage device, a flash memory device, or other non-transient solid-state storage device. In some embodiments, the memory may optionally include a memory remotely disposed relative to the processor, and these remote memories may be connected to the processor via a network. Examples of the above-mentioned network include, but are not limited to, the Internet, an intranet, a local area network, a mobile communication network, and combinations thereof.

[0078] The non-transient software program and instructions required to implement the method for collaboratively optimizing the tooth surface and micro-texture of a spiral bevel gear in the above embodiment are stored in the memory. When executed by the processor, the method for collaboratively optimizing the tooth surface and micro-texture of a spiral bevel gear in the above embodiment is executed, for example, the above described method is executed. Figure 1 The method comprises steps S100 to S700.

[0079] The system embodiments described above are merely illustrative, and the units described as separate components may or may not be physically separated, that is, they may be located in one place or distributed on multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.

[0080] The present application also provides a computer-readable storage medium storing computer-executable instructions, which are executed by one or more control processors to enable the one or more control processors to execute a method for collaborative optimization design of spiral bevel gear tooth surface and micro-texture in the above method embodiment, for example, to execute the above described Figure 1 The functions of method steps S100 to S700 in the method.

[0081] It will be appreciated by those skilled in the art that all or some of the steps and systems in the methods disclosed above may be implemented as software, firmware, hardware, and appropriate combinations thereof. Some or all physical components may be implemented as software executed by a processor, such as a central processing unit, a digital signal processor, or a microprocessor, or as hardware, or as an integrated circuit, such as an application-specific integrated circuit. Such software may be distributed on a computer-readable medium, which may include a computer storage medium (or non-transitory medium) and a communication medium (or transient medium). As known to those skilled in the art, the term computer storage medium includes volatile and non-volatile, removable and non-removable media implemented in any method or technology for storing information (such as computer-readable instructions, data structures, program modules, or other data). Computer storage media include, but are not limited to, RAM, ROM, EEPROM, flash memory or other memory technology, CD-ROM, digital versatile disk (DVD) or other optical disk storage, magnetic cassettes, magnetic tapes, disk storage or other magnetic storage devices, or any other medium that can be used to store desired information and can be accessed by a computer. Furthermore, it is well known to those skilled in the art that communication media typically embodies computer readable instructions, data structures, program modules, or other data in a modulated data signal such as a carrier wave or other transport mechanism, and may include any information delivery media.

[0082] The above is a specific description of the preferred implementation of the embodiments of the present application, but the embodiments of the present application are not limited to the above-mentioned implementation methods. Technical personnel familiar with the field can also make various equivalent modifications or substitutions without violating the spirit of the embodiments of the present application. These equivalent modifications or substitutions are all included in the scope defined by the claims of the embodiments of the present application.

[0083] The embodiments of the present application are described in detail above in conjunction with the accompanying drawings, but the present application is not limited to the above embodiments. Various changes can be made within the knowledge scope of ordinary technicians in the relevant technical field without departing from the purpose of the present application.

Claims

1. A method for collaborative optimization design of spiral bevel gear tooth surface and micro texture, characterized in that: The method comprises: Determine initial processing parameters of the spiral bevel gear, and construct a first spiral bevel gear tooth surface equation in a gear fixed coordinate system based on the initial processing parameters, wherein the spiral bevel gear includes a large spiral bevel gear and a small spiral bevel gear; Convert the tooth surface equation of the first spiral bevel gear in the gear fixed coordinate system into the tooth surface equation of the second spiral bevel gear in the meshing coordinate system; Taking the tooth surface of any one of the large spiral bevel gear and the small spiral bevel gear as a reference tooth surface, and constructing a target tooth surface of the other spiral bevel gear based on the tooth surface equation and ease-off of the second spiral bevel gear; Constructing a difference surface model based on the target tooth surface, and optimizing machining parameters based on the difference surface model to obtain new machining parameters; Based on the new processing parameters, the reference tooth surface and the target tooth surface, a loading contact analysis and a sensitivity analysis are performed on the tooth surface of the spiral bevel gear to obtain the target processing parameters, and the tooth surface of the spiral bevel gear is optimized according to the target processing parameters to obtain the target spiral bevel gear tooth surface; Determining initial micro-texture parameters, and based on the initial micro-texture parameters, placing micro-texture on the target spiral bevel gear tooth surface to construct a spiral bevel gear tooth surface containing micro-texture; An objective function and constraint conditions for optimizing micro-texture parameters are constructed, and a loading contact analysis is performed on the tooth surface of the spiral bevel gear containing micro-texture to obtain target micro-texture parameters that meet the objective function and the constraint conditions.

2. The spiral bevel gear tooth surface and micro-texture collaborative optimization design method according to claim 1, characterized in that: The step of constructing a difference surface model based on the target tooth surface and optimizing machining parameters based on the difference surface model to obtain new machining parameters includes: The difference surface model constructed based on the target tooth surface is: ； in, represents the discrete tooth surface points on the target tooth surface, Represents the first discrete tooth surface points, Indicates the tool height, Indicates the tool rotation angle, represents the meshing angle, Indicates the processing parameters, , Indicates radial tool position, Indicates the tool position radius, Indicates the angular tool position. Indicates the vertical wheel position, Indicates the horizontal wheel position, Indicates bed space, represents the root cone installation angle, Indicates the knife turning angle, Indicates the blade inclination angle, The initial surface The normal vector corresponding to the discrete tooth surface point is The distance between the target tooth surface and the initial surface Normal distance of discrete tooth surface points; The difference surface model is regarded as a least squares problem; The LM algorithm is used to solve the least squares problem and obtain new processing parameters.

3. The spiral bevel gear tooth surface and micro-texture collaborative optimization design method according to claim 1, characterized in that: The step of performing loading contact analysis and sensitivity analysis on the spiral bevel gear tooth surface based on the new processing parameters, the reference tooth surface and the target tooth surface to obtain the target processing parameters includes: Acquire coordinates of two to-be-contacted points on the reference tooth surface and the target tooth surface; Based on the coordinates of the two points to be contacted, a contact condition equation is constructed; Adding disturbance to the new processing parameters to obtain an initial contact point and a no-load transfer error; Based on the initial contact point and the no-load transfer error, the contact condition equation is solved by using a finite element method to obtain a contact position, a contact pressure distribution, and a contact deformation; Determining a contact performance evaluation index based on the contact position, the contact pressure distribution, and the contact deformation; Based on the contact performance evaluation index, the contact performance changes under different disturbances are analyzed, and the sensitivity analysis of the contact performance changes is performed to obtain highly sensitive processing parameters; superimposing the contact deformation onto the target tooth surface to obtain a new target tooth surface; Optimizing the highly sensitive machining parameters based on the new target tooth surface to obtain optimized sensitive machining parameters; Based on the optimized sensitive processing parameters and the new processing parameters, target processing parameters are determined.

4. The method for collaborative optimization design of spiral bevel gear tooth surface and micro texture according to claim 3, characterized in that: The step of constructing a contact condition equation based on the coordinates of the two points to be contacted comprises: ； in, represents the input load, Indicates that it acts on discrete small line segments The positive pressure on represents the main contact line segment, represents the location of the discrete positive pressure, represents a discrete small line segment, It represents the radius of the normal pressure on the rotating axis, represents the tooth surface geometric separation distance calculated according to the coordinates of the two contact points, It represents the displacement of the tooth surface contact point from the original position to the equilibrium position along the normal direction of the tooth surface. represents the equivalent Young's modulus of the gear pair, represents the equivalent radius of curvature of the gear pair, Indicates the processing parameters, represents the combined bending and shear flexibility of the gear teeth, represents the coordinates of the deflection measurement points in the contact area, Represents all discrete Find the integral.

5. The method for collaborative optimization design of spiral bevel gear tooth surface and micro texture according to claim 1, characterized in that: The method of inserting micro texture on the tooth surface of the target spiral bevel gear based on the initial micro texture parameter to construct the tooth surface of the spiral bevel gear containing micro texture comprises: Based on the initial micro-texture parameters, constructing a micro-texture equation; According to the micro-texture equation, micro-texture is placed on the tooth surface of the target spiral bevel gear to construct the tooth surface of the spiral bevel gear containing micro-texture.

6. The method for collaborative optimization design of spiral bevel gear tooth surface and micro texture according to claim 5, characterized in that: According to the micro-texture equation, micro-texture is placed on the tooth surface of the target spiral bevel gear to construct the tooth surface of the spiral bevel gear containing micro-texture, including: ； ； in, represents the spiral bevel gear tooth surface with micro texture, represents the coordinates of the tooth surface points in the x direction after considering the microtexture, represents the coordinates of the tooth surface points in the y direction after considering the microtexture, represents the coordinates of the tooth surface point in the z direction after considering the microtexture, represents the coordinates of the tooth surface point in the x direction without micro-texture, represents the coordinates of the tooth surface point in the y direction without micro-texture, represents the coordinates of the tooth surface point in the z direction without micro-texture, represents the normal vector of the tooth surface point, represents the microtexture equation, represents the target spiral bevel gear tooth surface, Indicates the working area of ​​the tooth surface, Indicates the transition area. represents the tooth root area, Indicates the tool height, Indicates the tool rotation angle, Represents the engagement angle.

7. The spiral bevel gear tooth surface and micro-texture collaborative optimization design method according to claim 1, characterized in that: The objective function and constraint conditions for constructing the optimized microtexture parameters include: The objective function for optimizing microtexture parameters is constructed as follows: ； The constraints for constructing the optimized microtexture parameters are: ； in, Represents little endian, Indicates the tooth top, Indicates big endian, Indicates tooth root, Indicates contact marks, represents the microtexture width, Indicates the oil film thickness, represents the oil film thickness without micro-texture, represents the amplitude of the transmission error of the inserted microtexture, represents the transmission error amplitude without micro-texture, represents the stress gradient, Represents the maximum allowable stress gradient.

8. A spiral bevel gear tooth surface and micro-texture collaborative optimization design system, characterized in that: The system comprises: A first tooth surface construction unit, used for determining initial processing parameters of the spiral bevel gear, and constructing a first spiral bevel gear tooth surface equation in a gear fixed coordinate system based on the initial processing parameters, wherein the spiral bevel gear includes a large spiral bevel gear and a small spiral bevel gear; A second tooth surface construction unit, used for converting the tooth surface equation of the first spiral bevel gear in the gear fixed coordinate system into the tooth surface equation of the second spiral bevel gear in the meshing coordinate system; a target tooth surface construction unit, configured to use the tooth surface of any one of the large spiral bevel gear and the small spiral bevel gear as a reference tooth surface, and to construct a target tooth surface of the other spiral bevel gear based on the tooth surface equation of the second spiral bevel gear and ease-off; A machining parameter optimization unit, used for constructing a difference surface model based on the target tooth surface, and optimizing machining parameters based on the difference surface model to obtain new machining parameters; A gear tooth surface optimization unit, configured to perform a loading contact analysis and a sensitivity analysis on the spiral bevel gear tooth surface based on the new processing parameters, the reference tooth surface and the target tooth surface to obtain target processing parameters, and optimize the spiral bevel gear tooth surface according to the target processing parameters to obtain a target spiral bevel gear tooth surface; Inserting a micro-texture unit to determine initial micro-texture parameters, and inserting micro-texture on the tooth surface of the target spiral bevel gear based on the initial micro-texture parameters to construct a spiral bevel gear tooth surface containing micro-texture; The micro-texture parameter optimization unit is used to construct an objective function and constraint conditions for optimizing micro-texture parameters, and perform loading contact analysis on the tooth surface of the spiral bevel gear containing micro-texture to obtain target micro-texture parameters that meet the objective function and the constraint conditions.

9. An electronic device, characterized in that: It includes at least one control processor and a memory for communicating with the at least one control processor; the memory stores instructions that can be executed by the at least one control processor, and the instructions are executed by the at least one control processor so that the at least one control processor can execute the method for collaborative optimization design of spiral bevel gear tooth surface and micro-texture 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, and the computer-executable instructions are used to enable a computer to execute the method for collaborative optimization design of spiral bevel gear tooth surface and micro-texture as described in any one of claims 1 to 7.

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