Non-involute variable-tooth-thickness gear machining method, device, equipment, medium and machine tool

Abstract

The invention discloses a non-involute variable-tooth-thickness gear machining method and device, equipment, a medium and a machine tool. The method comprises the steps that a non-involute variable-tooth-thickness gear tooth surface equation and a non-involute variable-tooth-thickness gear normal vector of a non-involute variable-tooth-thickness gear are constructed; a grinding wheel tooth surface equation and a grinding wheel normal vector of a grinding wheel are constructed, and the grinding wheel is used for grinding the non-involute variable-tooth-thickness gear; based on the geometric principle that the grinding wheel and the non-involute variable-tooth-thickness gear need to keep tangent contact in the machining process, the machining path of the grinding wheel is planned; and according to the grinding wheel tooth surface equation and the machining path, the non-involute variable-tooth-thickness gear is machined. The non-involute variable-tooth-thickness gear precise grinding device can achieve precise grinding of the non-involute variable-tooth-thickness

Description

Technical Field

[0001] This application relates to the field of machining technology, and in particular to a method, apparatus, equipment, medium and machine tool for machining non-involute variable tooth thickness gears. Background Technology

[0002] Gear pairs composed of involute variable tooth thickness gears and non-involute variable tooth thickness gears have advantages such as good contact performance and high load-bearing capacity. By adjusting the axial relative position of the gear pair, the tooth backlash can also be effectively controlled, thereby improving transmission accuracy. The non-involute variable tooth thickness gear is formed by enveloping the involute variable tooth thickness gear; however, the tooth surface of the non-involute variable tooth thickness gear is a complex curved surface, making precision grinding difficult. Existing machining methods for non-involute variable tooth thickness gears have inherent errors that are difficult to eliminate during actual machining. Summary of the Invention

[0003] This application aims to provide a method, apparatus, equipment, medium, and machine tool for machining non-involute variable tooth thickness gears, which can realize the precision grinding of non-involute variable tooth thickness gears.

[0004] A method for machining non-involute variable tooth thickness gears according to a first aspect embodiment of this application includes: Construct the tooth surface equation and normal vector of the non-involute variable tooth thickness gear. Construct the grinding wheel tooth surface equation and grinding wheel normal vector, wherein the grinding wheel is used to grind the non-involute variable tooth thickness gear; Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during the machining process, the machining path of the grinding wheel is planned. The non-involute variable tooth thickness gear is machined according to the grinding wheel tooth surface equation and the machining path.

[0005] According to some embodiments of this application, the step of planning the machining path of the grinding wheel based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during machining includes: Transform the tooth surface equation of the non-involute variable tooth thickness gear, the normal vector of the non-involute variable tooth thickness gear, the tooth surface equation of the grinding wheel, and the normal vector of the grinding wheel into the machine tool coordinate system; Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during the machining process, according to the gear tooth surface equation, the gear normal vector, the grinding wheel tooth surface equation, and the grinding wheel normal vector in the machine tool coordinate system, a first set of tangential contact equations is obtained in the machine tool coordinate system. The first set of tangential contact equations is used to make the spatial positions of the grinding wheel and the non-involute variable tooth thickness gear coincide at the contact point and have the same normal vector direction. Solve the first set of contact equations to obtain the machining path of the grinding wheel.

[0006] According to some embodiments of this application, the tooth surface equation of the non-involute variable tooth thickness gear and the normal vector of the non-involute variable tooth thickness gear are both determined by the first tooth surface variable and the second tooth surface variable; the tooth surface equation of the grinding wheel and the normal vector of the grinding wheel are both determined by the grinding wheel linear variable and the grinding wheel rotation variable; the equations in the machine tool coordinate system include the first linear axis variable, the second linear axis variable, the third linear axis variable, the first rotation axis variable, the second rotation axis variable, and the third rotation axis variable; Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during machining, and according to the gear tooth surface equation, the gear normal vector, the grinding wheel tooth surface equation, and the grinding wheel normal vector in the machine tool coordinate system, the first set of tangential contact equations in the machine tool coordinate system is obtained, including: Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during machining, a second set of tangential contact equations is established in the machine tool coordinate system according to the gear tooth surface equation, the gear normal vector, the grinding wheel tooth surface equation, and the grinding wheel normal vector. The second set of tangential contact equations is determined by the first tooth surface variable, the second tooth surface variable, the grinding wheel linear variable, the grinding wheel rotation variable, the first linear axis variable, the second linear axis variable, the third linear axis variable, the first rotation axis variable, the second rotation axis variable, and the third rotation axis variable. The second rotation axis variable in the second set of tangential equations is set to a preset fixed value; Make the third rotation axis variable in the second set of tangential equations equal to the grinding wheel rotation variable; Based on the geometric principle that the tooth surface points on the grinding wheel correspond to the tooth surface points on the non-involute variable tooth thickness gear during the grinding wheel machining process, the associated non-involute variable tooth thickness gear tooth surface equation is obtained; wherein, the associated non-involute variable tooth thickness gear tooth surface equation is determined by the grinding wheel linear variable and the second tooth surface variable. The first contact equation is obtained based on the second contact equation set and the associated non-involute variable tooth thickness gear tooth surface equation; wherein, the first contact equation set is determined by the second tooth surface variable, the grinding wheel linear variable, the first linear axis variable, the second linear axis variable, the third linear axis variable, the first rotation axis variable, and the third rotation axis variable.

[0007] According to some embodiments of this application, the step of obtaining the associated tooth surface equation of the non-involute variable tooth thickness gear based on the geometric principle of machining tooth surface points on the grinding wheel corresponding to the tooth surface points on the non-involute variable tooth thickness gear during grinding includes: Based on the geometric principle that the tooth surface points on the grinding wheel are processed during the grinding wheel machining process, corresponding to the tooth surface points on the non-involute variable tooth thickness gear, the first mapping relationship between the linear variable of the grinding wheel and the first tooth surface variable is determined. Based on the nonlinear optimization solution method, the associated non-involute variable tooth thickness gear tooth surface equation is obtained according to the non-involute variable tooth thickness gear tooth surface equation and the first mapping relationship.

[0008] According to some embodiments of this application, solving the first set of contact equations to obtain the machining path of the grinding wheel includes: The second tooth surface variable and the grinding wheel linearity variable are discretely selected within a preset range to obtain multiple combinations of values; Substitute each of the value combinations into the first set of cutting equations to calculate the discrete points on the processing path corresponding to each of the value combinations. The processing path is obtained based on all discrete points on the processing path.

[0009] According to some embodiments of this application, the grinding wheel tooth surface equation is limited by the following expression: ; The grinding wheel normal vector is subject to the following expression: ; in, θ g For the rotation of the grinding wheel, t For the linear variable of the grinding wheel, R g The maximum outer radius of the grinding wheel is given. s a The top thickness of the grinding wheel; a g The semi-cone angle of the grinding wheel is limited by the following expression: ; in, s fThe root thickness of the grinding wheel, h The full tooth height of the grinding wheel.

[0010] A non-involute variable tooth thickness gear machining apparatus according to a second aspect embodiment of this application includes: The first construction module is used to construct the gear tooth surface equation and the gear normal vector of the non-involute variable tooth thickness gear. The second construction module is used to construct the grinding wheel tooth surface equation and grinding wheel normal vector, wherein the grinding wheel is used to grind the non-involute variable tooth thickness gear; The planning module is used to plan the machining path of the grinding wheel based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during the machining process. The machining module is used to machine the non-involute variable tooth thickness gear according to the grinding wheel tooth surface equation and the machining path.

[0011] A machine tool according to a third aspect of this application includes a machine tool body and a controller, the controller being used to perform the non-involute variable tooth thickness gear machining method as described in the first aspect of the present application.

[0012] An electronic device according to a fourth aspect of this application includes a processor and a memory, the memory storing a program or instructions executable on the processor, the program or instructions being executed by the processor to implement the steps of the non-involute variable tooth thickness gear machining method as described in any of the first aspect embodiments above.

[0013] A computer-readable storage medium according to a fifth aspect embodiment of the present application stores computer-executable instructions for performing the non-involute variable tooth thickness gear machining method as described in the first aspect embodiment above.

[0014] In this embodiment, a grinding wheel tooth surface model is established, and based on the machine tool coordinate system, the contact calculation between the grinding wheel and the non-involute variable tooth thickness gear surface is performed to realize the planning of the grinding wheel's machining path. Finally, based on the grinding wheel tooth surface model and the machining path, the precision grinding of the non-involute variable tooth thickness gear is completed, thus avoiding fundamental errors in the machining principle.

[0015] Other features and advantages of this application will be set forth in the following description, and will be apparent in part from the description, or may be learned by practicing this application. Attached Figure Description

[0016] 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: Figure 1This is a schematic flowchart of an embodiment of the non-involute variable tooth thickness gear machining method of this application; Figure 2 This is a schematic diagram illustrating the spatial motion relationship between an involute variable tooth thickness gear and a non-involute variable tooth thickness gear, which is an embodiment of the non-involute variable tooth thickness gear processing method of this application. Figure 3 This is a schematic diagram of the machine tool structure of an embodiment of the non-involute variable tooth thickness gear machining method of this application; Figure 4 This is a schematic diagram of the machining trajectory of a non-involute variable tooth thickness gear, which is an embodiment of the non-involute variable tooth thickness gear machining method of this application. Figure 5 This is a first-view structural schematic diagram of the grinding wheel in an embodiment of the non-involute variable tooth thickness gear machining method of this application; Figure 6 This is a second-view structural schematic diagram of the grinding wheel in an embodiment of the non-involute variable tooth thickness gear machining method of this application; Figure 7 This is a schematic diagram of the profiles of the large and small ends of an involute variable tooth thickness gear according to an embodiment of the non-involute variable tooth thickness gear processing method of this application. Figure 8 This is a schematic diagram showing the tooth surface accuracy measurement results of a non-involute variable tooth thickness gear after processing, according to an embodiment of the non-involute variable tooth thickness gear processing method of this application. Figure 9 This is a schematic diagram of the structure of an embodiment of the non-involute variable tooth thickness gear processing apparatus of this application; Figure 10 This is a schematic diagram of the hardware structure of an embodiment of the electronic device of this application. Detailed Implementation

[0017] The embodiments of this application are described in detail below. Examples of these 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.

[0018] 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.

[0019] 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.

[0020] 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.

[0021] The technical solution of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the embodiments described below are some embodiments of this application, not all embodiments.

[0022] Figure 1 This is a schematic flowchart illustrating an embodiment of the non-involute variable tooth thickness gear machining method of this application.

[0023] See below. Figure 1 The embodiments of this application are further described below. This application proposes a method for machining non-involute variable tooth thickness gears, including the following steps: Step 101: Construct the tooth surface equation and normal vector of the non-involute variable tooth thickness gear. Step 102: Construct the grinding wheel tooth surface equation and grinding wheel normal vector, wherein the grinding wheel is used to grind non-involute variable tooth thickness gears; Step 103: Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during the machining process, plan the machining path of the grinding wheel; Step 104: Based on the grinding wheel tooth surface equation and machining path, machine the non-involute variable tooth thickness gear.

[0024] In this embodiment, a grinding wheel tooth surface model is established, and based on the machine tool coordinate system, the contact calculation between the grinding wheel and the non-involute variable tooth thickness gear surface is performed to realize the planning of the grinding wheel's machining path. Finally, based on the grinding wheel tooth surface model and the machining path, the precision grinding of the non-involute variable tooth thickness gear is completed, thus avoiding fundamental errors in the machining principle.

[0025] The tooth surface equation and normal vector of the non-involute variable tooth thickness gear described above can be obtained by constructing a toothed rack, enclosing the involute variable tooth thickness gear through the toothed rack, and then enclosing the non-involute variable tooth thickness gear through the involute variable tooth thickness gear, thereby obtaining the tooth surface equation and normal vector of the non-involute variable tooth thickness gear.

[0026] The aforementioned grinding wheel can be a conical grinding wheel. Since the tooth surface of non-involute variable tooth thickness gears is convex, theoretically any non-concave grinding wheel can be used for their machining. However, considering that conical grinding wheels with a straight shaft cross-section profile have the following significant advantages over convex grinding wheels: First, when dressing them with diamond rollers, the process is simple and efficient; second, this grinding wheel has good versatility, and one set of grinding wheels can be adapted to the machining of gears with different parameters.

[0027] The above machining path is the path for machining non-involute variable tooth thickness gears with a grinding wheel. It can be understood that the planning of the grinding wheel's machining path must follow geometric principles. That is, at any moment during machining, the grinding wheel tooth surface and the non-involute variable tooth thickness gear tooth surface must be tangent at a certain point. Specifically, this contact point must simultaneously satisfy two conditions: first, the grinding wheel and the non-involute variable tooth thickness gear tooth surfaces have the same spatial coordinates; second, the normal vectors at that point have the same direction. Based on these constraints, the continuous machining path of the grinding wheel can be determined and planned.

[0028] In some implementations, constructing the gear tooth surface equation and normal vector of a non-involute variable tooth thickness gear may include the following steps.

[0029] Specifically, establish a coordinate system for involute gears with variable tooth thickness and for non-involute gears with variable tooth thickness, such as... Figure 2 As shown. S d ( x d , y d , z d S is the fixed coordinate system for involute gears with varying tooth thickness. j ( x j , y j , z j ) is its coordinate system of motion; S f ( x f , y f , z f S2 is the fixed coordinate system for non-involute variable tooth thickness gears. x 2, y 2, z 2) is its motion coordinate system.

[0030] When an involute gear with variable tooth thickness envelops a non-involute gear with variable tooth thickness, they rotate about their own axes by angles. and The relationship of the corners can be expressed asz 2 / z s = / The number of teeth of an involute gear with variable tooth thickness is z s The number of teeth of a non-involute variable tooth thickness gear is z 2. The angle between the shafts of the two gears is... θ , r s This indicates the pitch circle radius of an involute gear with variable tooth thickness. r 2 represents the pitch circle radius of a non-involute variable tooth thickness gear. The tooth surface equation r2 of a non-involute variable tooth thickness gear can be expressed as: (1) Among them, M dj M fd M 2f This is the position transformation matrix. f 2j The above equations represent the meshing equations for an involute gear with variable tooth thickness and a non-involute gear with variable tooth thickness; the equations above show that the tooth surface r2 of the non-involute gear with variable tooth thickness is derived from the tooth surface r of the involute gear with variable tooth thickness. j After position transformation, and given that the tooth surfaces of the involute variable tooth thickness gear and the non-involute variable tooth thickness gear mesh, the normal vector n of the involute variable tooth thickness gear tooth surface is obtained. j The relative linear velocity v between the non-involute variable tooth thickness gear and the involute variable tooth thickness gear （2j） The product is zero; Among them, M dj M fd M 2f It can be represented as: (2) (3) (4) In some implementations, based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear must maintain tangential contact during machining, the machining path of the grinding wheel is planned, including: Transform the tooth surface equation, normal vector, grinding wheel tooth surface equation, and grinding wheel normal vector of the non-involute variable tooth thickness gear into the machine tool coordinate system. Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during the machining process, according to the gear tooth surface equation, the gear normal vector, the grinding wheel tooth surface equation, and the grinding wheel normal vector in the machine tool coordinate system, the first set of tangential contact equations in the machine tool coordinate system is obtained. The first set of tangential contact equations is used to make the spatial positions of the grinding wheel and the non-involute variable tooth thickness gear coincide at the contact point and the directions of their normal vectors are consistent. Solve the first set of contact equations to obtain the machining path of the grinding wheel.

[0031] In this embodiment, transforming the gear tooth surface equation, gear normal vector, grinding wheel tooth surface equation, and grinding wheel normal vector of the non-involute variable tooth thickness gear into the same machine tool coordinate system is a prerequisite for subsequent contact calculation and machining path planning. Then, according to the geometric principle that the machining path planning of the grinding wheel must follow, that is, at any moment of machining, it must be ensured that the grinding wheel tooth surface is tangent to the gear tooth surface of the non-involute variable tooth thickness gear at a certain point, the first contact equation set can be obtained. Solving it can yield the machining path of the grinding wheel.

[0032] The aforementioned machine tool can be a five-axis CNC machine tool, such as... Figure 3 As shown, specifically, a non-involute variable tooth thickness gear can be machined using an H350G five-axis CNC machine tool. This machine tool has three linear axes (X, Y, Z axes) and three rotary axes (A, B, C axes). The C axis is the machine tool spindle, used to mount the grinding wheel; the A axis is used to mount the non-involute variable tooth thickness gear; and the B axis is the machine tool's rotary axis. The coordinate system is S... m Let S be the coordinate system of the CNC machine tool. m The coordinate system is a globally fixed coordinate system, namely the machine tool coordinate system mentioned above.

[0033] The above-mentioned transformation of the tooth surface equation of the non-involute variable tooth thickness gear, the normal vector of the non-involute variable tooth thickness gear, the tooth surface equation of the grinding wheel, and the normal vector of the grinding wheel to the machine tool coordinate system can be achieved through coordinate transformation.

[0034] Specifically, based on the machine tool kinematic chain, the coordinate vector r of the grinding wheel can be transformed through coordinate transformation. g and normal vector n g All transformed to the global fixed coordinate system S m Below, obtain the corresponding and Through coordinate transformation, the coordinate vector r2 and normal vector n2 of the non-involute variable tooth thickness gear are both transformed to the global fixed coordinate system S. m Below, obtain the corresponding and Specifically, it can be obtained through the following expression: (5) in, l andz n These are the variables included in the relevant expressions for non-involute variable tooth thickness gears. l Let S be the coordinate system of the normal tooth surface of the rack. n ( x n , y n , z n coordinate axes y n variables on, z n coordinate axes z n Variables on; θ g and t For variables included in the expressions related to grinding wheels, θ g For grinding wheel rotation parameters, t For the linear parameters of the grinding wheel; coordinate transformation matrix M mB M BA M Ag M mY M YC M C2 It can be represented as: (6) (7) (8) (9) (10) (11) Where X, Y, Z, A, B, and C are the values ​​of each motion axis of the CNC machine tool.

[0035] In some implementations, the tooth surface equation of the non-involute variable tooth thickness gear and the normal vector of the non-involute variable tooth thickness gear are both determined by the first tooth surface variable and the second tooth surface variable; the tooth surface equation of the grinding wheel and the normal vector of the grinding wheel are both determined by the grinding wheel linear variable and the grinding wheel rotation variable; the equations in the machine tool coordinate system include the first linear axis variable, the second linear axis variable, the third linear axis variable, the first rotation axis variable, the second rotation axis variable, and the third rotation axis variable; Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear must maintain tangential contact during machining, and according to the gear tooth surface equation, the gear normal vector, the grinding wheel tooth surface equation, and the grinding wheel normal vector in the machine tool coordinate system, the first set of tangential contact equations in the machine tool coordinate system is obtained, including: Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during the machining process, a second set of tangential contact equations is established in the machine tool coordinate system according to the gear tooth surface equation, the gear normal vector, the grinding wheel tooth surface equation, and the grinding wheel normal vector. The second set of tangential contact equations is determined by the first tooth surface variable, the second tooth surface variable, the grinding wheel linear variable, the grinding wheel rotation variable, the first linear axis variable, the second linear axis variable, the third linear axis variable, the first rotation axis variable, the second rotation axis variable, and the third rotation axis variable. The second rotation axis variable in the second set of equations is set to a preset fixed value; Make the third rotation axis variable in the second set of equations equal to the grinding wheel rotation variable; Based on the geometric principle that the tooth surface points on the grinding wheel correspond to the tooth surface points on the non-involute variable tooth thickness gear during grinding wheel machining, the associated non-involute variable tooth thickness gear tooth surface equation is obtained; wherein, the associated non-involute variable tooth thickness gear tooth surface equation is determined by the grinding wheel linear variable and the second tooth surface variable. The first contact equation is obtained based on the second contact equation set and the associated non-involute variable tooth thickness gear tooth surface equation; wherein, the first contact equation set is determined by the second tooth surface variable, the grinding wheel linear variable, the first linear axis variable, the second linear axis variable, the third linear axis variable, the first rotation axis variable, and the third rotation axis variable.

[0036] In this embodiment, based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during the machining process, a second set of tangential contact equations is established in the machine tool coordinate system. However, the second set of tangential contact equations has 10 variables and only 5 equations, and the equations have infinitely many solutions, so it is impossible to directly solve for the machining path of the grinding wheel. Therefore, the second set of tangential contact equations needs to be further processed to reduce the degrees of freedom, resulting in the first set of tangential contact equations, which has only 7 variables and 5 equations, and can solve for the machining path of the grinding wheel.

[0037] Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during machining, the second set of tangential contact equations in the machine tool coordinate system is obtained. This can be derived from the fact that, when the grinding wheel is machining the non-involute variable tooth thickness gear, the surfaces of the grinding wheel and the non-involute variable tooth thickness gear need to remain tangent at a certain point. That is, the grinding wheel and the non-involute variable tooth thickness gear have the same spatial coordinates on their tooth surfaces, and their normal vectors have the same direction at that point. Therefore, based on the above constraints, the second set of tangential contact equations between the grinding wheel and the non-involute variable tooth thickness gear can be established as follows: (12) Among them, including l , z n , θg , t There are 10 variables in total: X, Y, Z, A, B, and C. l and z n These are the variables included in the relevant expressions for non-involute variable tooth thickness gears. l Let S be the coordinate system of the normal tooth surface of the rack. n ( x n , y n , z n coordinate axes y n The variable on the surface is also the first tooth surface variable mentioned above. z n coordinate axes z n The variable on the surface is also the second tooth surface variable mentioned above; θ g and t For variables included in the expressions related to grinding wheels, θ g This refers to the grinding wheel rotation parameters, which are also the grinding wheel rotation variables mentioned above. t X, Y, Z, A, B, and C are the linear parameters of the grinding wheel, which are also the linear variables of the grinding wheel mentioned above. X, Y, Z, A, B, and C are the variables included in the expression under the machine tool coordinate system. They are the variables on each motion axis of the machine tool, namely the linear axes X, Y, Z and the rotary axes A, B, and C, respectively, corresponding to the first linear axis variable, the second linear axis variable, the third linear axis variable, the first rotary axis variable, the second rotary axis variable, and the third rotary axis variable mentioned above.

[0038] Understandably, the second set of equations has 10 variables and only 5 equations, with infinitely many solutions, making it impossible to determine the machining path of the grinding wheel. Therefore, further processing of the second set of equations is needed to reduce the degrees of freedom.

[0039] The second rotation axis variable in the second contact equation set is set to a preset fixed value, that is, the B-axis rotation angle of the CNC machine tool adopts a fixed value and does not participate in the linkage of grinding wheel processing. In this way, the second rotation axis variable B can be eliminated. Specifically, the value of the B-axis rotation angle can be set to be equal to the helix angle value of the involute variable tooth thickness gear.

[0040] The above makes the third rotational axis variable in the second set of equations equal to the grinding wheel rotation variable. That is, when the grinding wheel is mounted on the C-axis of the CNC machine tool, the C-axis rotation angle on the machine tool can be equivalent to the grinding wheel rotation angle. θ g Then the angle of the grinding wheel can be adjusted. θ g The rotation angle is equal to that of the C-axis, therefore we have θg =C, thus eliminating the grinding wheel rotation variable. θ g .

[0041] Based on the geometric principle of machining tooth surface points on the grinding wheel corresponding to the tooth surface points on a non-involute variable tooth thickness gear during grinding, the above-mentioned related non-involute variable tooth thickness gear tooth surface equation is obtained. It can be understood that the original non-involute variable tooth thickness gear tooth surface equation can be expressed as r2( l , z n ), due to the grinding wheel teeth surface t The variable tooth surface point is actually used to machine the corresponding tooth surface point on the non-involute variable tooth thickness gear, so it can necessarily be converted to obtain r2( t , z n That is, the aforementioned related non-involute variable tooth thickness gear tooth surface equation, thereby eliminating the first tooth surface variable. l .

[0042] The first set of tangent equations above can be expressed as: (13) Among them, including z n , t With seven variables—X, Y, Z, A, and C—the first set of equations can be solved directly.

[0043] In some implementations, based on the geometric principle that the tooth surface points on the grinding wheel correspond to the tooth surface points on a non-involute variable tooth thickness gear during grinding, the associated tooth surface equation of the non-involute variable tooth thickness gear is obtained, including: Based on the geometric principle that the tooth surface points on the grinding wheel correspond to the tooth surface points on the non-involute variable tooth thickness gear during grinding wheel machining, the first mapping relationship between the linear variable of the grinding wheel and the first tooth surface variable is determined. Based on the nonlinear optimization solution method, the associated non-involute variable tooth thickness gear tooth surface equation is obtained according to the non-involute variable tooth thickness gear tooth surface equation and the first mapping relationship.

[0044] In this embodiment, the equation of the tooth surface of the associated non-involute variable tooth thickness gear can be solved by nonlinear optimization method.

[0045] It is understandable that, such as Figure 4 As shown, the tooth surface points on the grinding wheel tooth surface correspond to the tooth surface points on the actual machined non-involute variable tooth thickness gears. Specifically, on the grinding wheel tooth surface... t The variable tooth surface point is only used for machining the corresponding non-involute variable tooth thickness gear. htThe tooth surface points, i.e., the first mapping relationship exists. Therefore, the tooth surface r2 of the non-involute variable tooth thickness gear was originally determined by the parameter l and z n This indicates that r2( l , z n ), and parameters l With corresponding tooth surface point h - t Since a mapping relationship exists, the variables can be optimized using nonlinear optimization methods. t Replacement parameters l Solving for r2, we get its representation as r2( t , z n The related equations for the tooth surface of non-involute variable tooth thickness gears.

[0046] The aforementioned nonlinear optimization solution methods can include dogleg optimization, Newton's gradient descent, trust region method, or genetic algorithm, etc.

[0047] In some implementations, solving the first set of contact equations yields the machining path of the grinding wheel, including: Discretize the second tooth surface variable and the grinding wheel linearity variable within a preset range to obtain multiple combinations of values; Substitute each combination of values ​​into the first set of cutting equations to calculate the discrete points on the processing path corresponding to each combination of values. The machining path is obtained based on all discrete points along the machining path.

[0048] In this embodiment, since the first contact equation set has 5 equations and a total of 7 variables, as shown in formula (13), it is only necessary to discretize the second tooth surface variable and the grinding wheel straight line variable, that is, the non-involute variable tooth thickness gear. z n and t The solution to the equation (X, Y, Z, A, C) is uniquely determined, corresponding to a position point on the machine tool machining path. This can be understood as the tooth surface point on the non-involute variable tooth thickness gear r2 ( t , z n The machining path is obtained by the machine tool at the (X, Y, Z, A, C) positions. By combining all discrete points, a complete machining path can be constructed. It should be noted that the B-axis of the CNC machine tool does not participate in the linkage of grinding wheel machining, and the value of the B-axis rotation angle is set to a fixed value, which is generally equal to the helix angle value of the involute variable tooth thickness gear.

[0049] It is understandable that, such as Figure 4 As shown in the figure, each grinding track is composed of a corresponding fixed t value and multiple different... zn A machining path is obtained by combining multiple discrete points calculated by value. By combining the machining paths corresponding to all different t values, the complete machining path of non-involute variable tooth thickness gear is obtained.

[0050] In some implementations, the equation for the grinding wheel tooth surface is limited by the following expression: (14) The normal vector of the grinding wheel is subject to the following expression: (15) in, θ g For the rotation of the grinding wheel, t For the linear variable of the grinding wheel, R g The maximum outer radius of the grinding wheel. s a The top thickness of the grinding wheel; a g The semi-cone angle of the grinding wheel is subject to the following expression: (16) in, s f For the root thickness of the grinding wheel, h This is the full tooth height of the grinding wheel.

[0051] In this embodiment, the specific tooth surface shape of the grinding wheel for machining non-involute variable tooth thickness gears is given.

[0052] The basic shape of a grinding wheel is as follows: Figure 5 and Figure 6 As shown. The maximum outer radius of the grinding wheel is... R g The semi-cone angle is a g The top thickness is s a The root thickness is s f The total tooth height is h The parameters of the line are t The rotation parameters are θ g The grinding wheel surface in coordinate system S G The tooth surface equation r g This can be expressed as formula (14), where the normal vector n g This can be expressed as formula (15); where the semi-cone angle of the grinding wheel needs to be further determined. a g Due to the thickness of the grinding wheel top s a Equal to the thickness of the large end tooth tip of the involute variable tooth thickness gear, and the root thickness of the grinding wheel.s f It is equal to the thickness of the root of the small end of an involute gear with variable tooth thickness, such as... Figure 7 As shown, the semi-cone angle of the grinding wheel is... a g It can be expressed as formula (16), where the total tooth height of the grinding wheel is... h It has the same total tooth height as the involute variable tooth thickness gear.

[0053] In some embodiments, machining a non-involute variable tooth thickness gear according to the grinding wheel tooth surface equation and machining path includes: obtaining a machining grinding wheel according to the grinding wheel tooth surface equation and mounting the machining grinding wheel onto a CNC machine tool; Import the machining path related data into the CNC machine tool; Start the CNC machine tool, and the CNC machine tool can control the machining wheel to process according to the machining path to obtain a non-involute variable tooth thickness gear.

[0054] In some implementations, to verify the superiority of the proposed technical solution, a non-involute variable tooth thickness gear is machined on a CNC machine tool using a conical grinding wheel, and the verification is then performed.

[0055] Specifically, a tooth surface model of the grinding wheel used for machining non-involute variable tooth thickness gears is established. Then, based on the kinematic chain of a five-axis CNC machine tool and the calculation method for the contact between the grinding wheel and the curved surface of the non-involute variable tooth thickness gear, the machining path for machining the non-involute variable tooth thickness gear on the CNC machine tool can be determined through calculation. The CNC machine tool linkage path is written as an .MPF file and imported into the CNC machine tool control system. The grinding wheel on the CNC machine tool can then machine the non-involute variable tooth thickness gear according to the linkage code. After machining is completed, the tooth surface of the ground non-involute variable tooth thickness gear is inspected, and the measurement results are as follows: Figure 8 As shown, the maximum deviation of the tooth surface of the non-involute variable tooth thickness gear is 4.8 micrometers, and the tooth surface accuracy can reach level 4.

[0056] The non-involute variable tooth thickness gear machining method provided in this application embodiment can be executed by a non-involute variable tooth thickness gear machining device 200. This application embodiment uses the non-involute variable tooth thickness gear machining device 200 executing the non-involute variable tooth thickness gear machining method as an example to illustrate the non-involute variable tooth thickness gear machining device 200 provided in this application embodiment.

[0057] Please see Figure 9 This is a schematic diagram of the structure of a non-involute variable tooth thickness gear processing device 200 provided in an embodiment of this application. Figure 9 As shown, the non-involute variable tooth thickness gear processing apparatus 200 includes: The first construction module 201 is used to construct the gear tooth surface equation and the gear normal vector of the non-involute variable tooth thickness gear. The second construction module 202 is used to construct the grinding wheel tooth surface equation and grinding wheel normal vector, wherein the grinding wheel is used to grind non-involute variable tooth thickness gears; Planning module 203 is used to plan the machining path of the grinding wheel based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during the machining process. Machining module 204 is used to machine non-involute variable tooth thickness gears according to the grinding wheel tooth surface equation and machining path.

[0058] In some implementations, the planning module 203 can be used for: Transform the tooth surface equation, normal vector, grinding wheel tooth surface equation, and grinding wheel normal vector of the non-involute variable tooth thickness gear into the machine tool coordinate system. Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during the machining process, according to the gear tooth surface equation, the gear normal vector, the grinding wheel tooth surface equation, and the grinding wheel normal vector in the machine tool coordinate system, the first set of tangential contact equations in the machine tool coordinate system is obtained. The first set of tangential contact equations is used to make the spatial positions of the grinding wheel and the non-involute variable tooth thickness gear coincide at the contact point and the directions of their normal vectors are consistent. Solve the first set of contact equations to obtain the machining path of the grinding wheel.

[0059] In some implementations, the tooth surface equation of the non-involute variable tooth thickness gear and the normal vector of the non-involute variable tooth thickness gear are both determined by the first tooth surface variable and the second tooth surface variable; the tooth surface equation of the grinding wheel and the normal vector of the grinding wheel are both determined by the grinding wheel linear variable and the grinding wheel rotation variable; the equations in the machine tool coordinate system include the first linear axis variable, the second linear axis variable, the third linear axis variable, the first rotation axis variable, the second rotation axis variable, and the third rotation axis variable; Planning module 203 can be used for: Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during the machining process, a second set of tangential contact equations is established in the machine tool coordinate system according to the gear tooth surface equation, the gear normal vector, the grinding wheel tooth surface equation, and the grinding wheel normal vector. The second set of tangential contact equations is determined by the first tooth surface variable, the second tooth surface variable, the grinding wheel linear variable, the grinding wheel rotation variable, the first linear axis variable, the second linear axis variable, the third linear axis variable, the first rotation axis variable, the second rotation axis variable, and the third rotation axis variable. The second rotation axis variable in the second set of equations is set to a preset fixed value; Make the third rotation axis variable in the second set of equations equal to the grinding wheel rotation variable; Based on the geometric principle that the tooth surface points on the grinding wheel correspond to the tooth surface points on the non-involute variable tooth thickness gear during grinding wheel machining, the associated non-involute variable tooth thickness gear tooth surface equation is obtained; wherein, the associated non-involute variable tooth thickness gear tooth surface equation is determined by the grinding wheel linear variable and the second tooth surface variable. The first contact equation is obtained based on the second contact equation set and the associated non-involute variable tooth thickness gear tooth surface equation; wherein, the first contact equation set is determined by the second tooth surface variable, the grinding wheel linear variable, the first linear axis variable, the second linear axis variable, the third linear axis variable, the first rotation axis variable, and the third rotation axis variable.

[0060] In some implementations, the planning module 203 can be used for: Based on the geometric principle that the tooth surface points on the grinding wheel correspond to the tooth surface points on the non-involute variable tooth thickness gear during grinding wheel machining, the first mapping relationship between the linear variable of the grinding wheel and the first tooth surface variable is determined. Based on the nonlinear optimization solution method, the associated non-involute variable tooth thickness gear tooth surface equation is obtained according to the non-involute variable tooth thickness gear tooth surface equation and the first mapping relationship.

[0061] In some implementations, the planning module 203 can be used for: Discretize the second tooth surface variable and the grinding wheel linearity variable within a preset range to obtain multiple combinations of values; Substitute each combination of values ​​into the first set of cutting equations to calculate the discrete points on the processing path corresponding to each combination of values. The machining path is obtained based on all discrete points along the machining path.

[0062] In some implementations, the equation for the grinding wheel tooth surface is limited by the following expression: (17) The normal vector of the grinding wheel is subject to the following expression: (18) in, θ g For the rotation of the grinding wheel, t For the linear variable of the grinding wheel, R g The maximum outer radius of the grinding wheel. s a The top thickness of the grinding wheel; a g The semi-cone angle of the grinding wheel is subject to the following expression: (19) in, s f For the root thickness of the grinding wheel, hThis is the full tooth height of the grinding wheel.

[0063] Since the non-involute variable tooth thickness gear processing device 200 adopts all the technical solutions of the non-involute variable tooth thickness gear processing method of the above embodiments, it has at least all the beneficial effects brought about by the technical solutions of the above embodiments, and will not be described again here.

[0064] This application provides a machine tool including a machine tool body and a controller, the controller being used to execute the non-involute variable tooth thickness gear machining method described above.

[0065] Since the machine tool adopts all the technical solutions of the non-involute variable tooth thickness gear machining method of the above embodiments, it has at least all the beneficial effects brought about by the technical solutions of the above embodiments, and will not be described in detail here.

[0066] Figure 10 This is a schematic diagram of the hardware structure of the electronic device provided in the embodiments of this application.

[0067] This electronic device may include a processor 301 and a memory 302 storing computer program instructions.

[0068] 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.

[0069] 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.

[0070] 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.

[0071] The processor 301 reads and executes computer program instructions stored in the memory 302 to implement any of the non-involute variable tooth thickness gear machining methods in the above embodiments.

[0072] In one example, the electronic device may also include a communication interface 303 and a bus 310. For example, Figure 10 As shown, the processor 301, memory 302, and communication interface 303 are connected through bus 310 and complete communication with each other.

[0073] The communication interface 303 is mainly used to realize communication between various modules, devices, units and / or equipment in the embodiments of this application.

[0074] Bus 310 includes hardware, software, or both, that couples components of an online data traffic metering 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.

[0075] This electronic device can perform the non-involute variable tooth thickness gear machining method described in the embodiments of this application, thereby achieving a combination Figure 1 and Figure 9 The method and apparatus for machining non-involute variable tooth thickness gears are described.

[0076] Furthermore, in conjunction with the non-involute variable tooth thickness gear machining method in the above embodiments, this application embodiment can provide a computer storage medium for implementation. The computer storage medium stores computer program instructions; when these computer program instructions are executed by a processor, they implement any of the non-involute variable tooth thickness gear machining methods in the above embodiments.

[0077] 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.

[0078] The functional blocks shown in the above-described block diagram can be implemented as hardware, software, firmware, or a combination thereof. When implemented in hardware, they can be 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.

[0079] 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.

[0080] 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.

[0081] 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 machining non-involute variable tooth thickness gears, characterized in that, include: Construct the tooth surface equation and normal vector of the non-involute variable tooth thickness gear. Construct the grinding wheel tooth surface equation and grinding wheel normal vector, wherein the grinding wheel is used to grind the non-involute variable tooth thickness gear; Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during the machining process, the machining path of the grinding wheel is planned. The non-involute variable tooth thickness gear is machined according to the grinding wheel tooth surface equation and the machining path.

2. The method for machining non-involute variable tooth thickness gears according to claim 1, characterized in that, Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during machining, the machining path of the grinding wheel is planned, including: Transform the tooth surface equation of the non-involute variable tooth thickness gear, the normal vector of the non-involute variable tooth thickness gear, the tooth surface equation of the grinding wheel, and the normal vector of the grinding wheel into the machine tool coordinate system; Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during the machining process, according to the gear tooth surface equation, the gear normal vector, the grinding wheel tooth surface equation, and the grinding wheel normal vector in the machine tool coordinate system, a first set of tangential contact equations is obtained in the machine tool coordinate system. The first set of tangential contact equations is used to make the spatial positions of the grinding wheel and the non-involute variable tooth thickness gear coincide at the contact point and have the same normal vector direction. Solve the first set of contact equations to obtain the machining path of the grinding wheel.

3. The method for machining non-involute variable tooth thickness gears according to claim 2, characterized in that, The tooth surface equation and normal vector of the non-involute variable tooth thickness gear are both determined by the first tooth surface variable and the second tooth surface variable; the tooth surface equation and normal vector of the grinding wheel are both determined by the grinding wheel linear variable and the grinding wheel rotation variable; the equations in the machine tool coordinate system include the first linear axis variable, the second linear axis variable, the third linear axis variable, the first rotation axis variable, the second rotation axis variable, and the third rotation axis variable; Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during machining, and according to the gear tooth surface equation, the gear normal vector, the grinding wheel tooth surface equation, and the grinding wheel normal vector in the machine tool coordinate system, the first set of tangential contact equations in the machine tool coordinate system is obtained, including: Based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during machining, a second set of tangential contact equations is established in the machine tool coordinate system according to the gear tooth surface equation, the gear normal vector, the grinding wheel tooth surface equation, and the grinding wheel normal vector. The second set of tangential contact equations is determined by the first tooth surface variable, the second tooth surface variable, the grinding wheel linear variable, the grinding wheel rotation variable, the first linear axis variable, the second linear axis variable, the third linear axis variable, the first rotation axis variable, the second rotation axis variable, and the third rotation axis variable. The second rotation axis variable in the second set of tangential equations is set to a preset fixed value; Make the third rotation axis variable in the second set of tangential equations equal to the grinding wheel rotation variable; Based on the geometric principle that the tooth surface points on the grinding wheel correspond to the tooth surface points on the non-involute variable tooth thickness gear during the grinding wheel machining process, the associated non-involute variable tooth thickness gear tooth surface equation is obtained; wherein, the associated non-involute variable tooth thickness gear tooth surface equation is determined by the grinding wheel linear variable and the second tooth surface variable. The first contact equation is obtained based on the second contact equation set and the associated non-involute variable tooth thickness gear tooth surface equation; wherein, the first contact equation set is determined by the second tooth surface variable, the grinding wheel linear variable, the first linear axis variable, the second linear axis variable, the third linear axis variable, the first rotation axis variable, and the third rotation axis variable.

4. The method for machining non-involute variable tooth thickness gears according to claim 3, characterized in that, Based on the geometric principle of machining tooth surface points on the grinding wheel corresponding to the tooth surface points on the non-involute variable tooth thickness gear during the grinding process, the associated non-involute variable tooth thickness gear tooth surface equation is obtained, including: Based on the geometric principle that the tooth surface points on the grinding wheel are processed during the grinding wheel machining process, corresponding to the tooth surface points on the non-involute variable tooth thickness gear, the first mapping relationship between the linear variable of the grinding wheel and the first tooth surface variable is determined. Based on the nonlinear optimization solution method, the associated non-involute variable tooth thickness gear tooth surface equation is obtained according to the non-involute variable tooth thickness gear tooth surface equation and the first mapping relationship.

5. The method for machining non-involute variable tooth thickness gears according to claim 3, characterized in that, Solving the first set of contact equations to obtain the machining path of the grinding wheel includes: The second tooth surface variable and the grinding wheel linearity variable are discretely selected within a preset range to obtain multiple combinations of values; Substitute each of the value combinations into the first set of cutting equations to calculate the discrete points on the processing path corresponding to each of the value combinations. The processing path is obtained based on all discrete points on the processing path.

6. The method for machining non-involute variable tooth thickness gears according to claim 1, characterized in that, The equation for the grinding wheel tooth surface is subject to the following expression: ； The grinding wheel normal vector is subject to the following expression: ； in, θ g For the rotation of the grinding wheel, t For the linear variable of the grinding wheel, R g The maximum outer radius of the grinding wheel is given. s a The top thickness of the grinding wheel; a g The semi-cone angle of the grinding wheel is limited by the following expression: ； in, s f The root thickness of the grinding wheel, h The full tooth height of the grinding wheel.

7. A non-involute variable tooth thickness gear machining device, characterized in that, include: The first construction module is used to construct the gear tooth surface equation and the gear normal vector of the non-involute variable tooth thickness gear. The second construction module is used to construct the grinding wheel tooth surface equation and grinding wheel normal vector, wherein the grinding wheel is used to grind the non-involute variable tooth thickness gear; The planning module is used to plan the machining path of the grinding wheel based on the geometric principle that the grinding wheel and the non-involute variable tooth thickness gear need to maintain tangential contact during the machining process. The machining module is used to machine the non-involute variable tooth thickness gear according to the grinding wheel tooth surface equation and the machining path.

8. A machine tool, characterized in that, It includes a machine tool body and a controller, the controller being used to perform the non-involute variable tooth thickness gear machining method as described in any one of claims 1 to 6.

9. An electronic device, characterized in that, It includes a processor and a memory, the memory storing a program or instructions that can run on the processor, the program or instructions being executed by the processor to implement the steps of the non-involute variable tooth thickness gear machining method as described in any one of claims 1 to 6.

10. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores computer-executable instructions for causing a computer to perform the non-involute variable tooth thickness gear machining method as described in any one of claims 1 to 6.

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