Machining method, device, equipment, medium and machine tool for small-crossed-axis-angle conical face gear
By optimizing the tooth surface and machining path of the cylindrical worm grinding wheel, the grinding of small shaft intersecting bevel gears using the cylindrical worm grinding wheel solves the problems of high machining difficulty and low efficiency in the existing technology, and achieves efficient and reliable precision machining results.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-12-31
- Publication Date
- 2026-04-14
AI Technical Summary
Existing technologies struggle to efficiently process small shaft intersecting bevel gears, especially in grinding processes where there is a lack of efficient and reliable dressing processes. Dressing ellipsoidal worm gear grinding wheels is difficult, resulting in high processing difficulty and low efficiency.
A cylindrical worm grinding wheel is used to machine a small shaft intersecting conical surface gear. By optimizing and adjusting the tooth surface and machining path of the cylindrical worm grinding wheel, a nonlinear optimization method is used to make the tooth surface of the complex curved surface gear consistent with the tooth surface of the target small shaft intersecting conical surface gear, and then grinding is performed using a cylindrical worm grinding wheel.
Precision grinding of small shaft intersecting bevel gears has been achieved, improving processing efficiency and accuracy, reducing technical difficulty, and ensuring processing reliability.
Smart Images
Figure CN121847876A_ABST
Abstract
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 small shaft intersecting bevel surface gears. Background Technology
[0002] Small-shaft intersecting bevel gear pairs are a novel type of transmission system composed of involute bevel gears and bevel surface gears. This type of gear pair excels in controlling tooth backlash, effectively improving transmission accuracy. It can transmit power between intersecting and staggered shafts, and boasts advantages such as compact structure, high load-bearing efficiency, and high transmission accuracy. In small-shaft intersecting applications, this type of gear pair demonstrates significant advantages in artillery aiming systems, ship propulsion systems, helicopter transmission systems, and automotive drive systems.
[0003] The complex geometry of the tooth surface of small-shaft intersecting conical gears makes their machining particularly difficult, resulting in the inability to use standard cutting tools in grinding processes. Currently, the development of dedicated grinding machines for small-shaft intersecting conical gears is still immature, and there is a lack of efficient and reliable dressing processes. Existing technologies often use ellipsoidal worm grinding wheels to grind the gear surfaces, but ellipsoidal worm grinding wheels are difficult to dress, resulting in high machining difficulty and low machining efficiency. Summary of the Invention
[0004] This application aims to provide a method, apparatus, equipment, medium, and machine tool for machining small shaft intersecting bevel gears, which can realize the precision grinding of small shaft intersecting bevel gears.
[0005] A method for machining a small-shaft intersecting bevel gear according to a first aspect embodiment of this application includes: Construct the gear tooth surface equation and normal vector of the target small shaft angle bevel gear; Obtain the tooth surface equation of the modified production line rack; wherein, the modified production line rack is obtained by modifying the production line rack, and the tooth surface equation of the modified production line rack includes tooth surface parameters; Based on the modified tooth surface equation of the production rack, the cylindrical worm grinding wheel tooth surface equation is obtained; wherein, the cylindrical worm grinding wheel tooth surface is obtained by the envelope of the modified production rack, and the cylindrical worm grinding wheel tooth surface equation includes the tooth surface parameters. Based on the cylindrical worm grinding wheel tooth surface equation, the complex curved surface gear tooth surface equation is obtained; wherein, the complex curved surface gear is obtained by the cylindrical worm grinding wheel along a preset machining path, and the complex curved surface gear tooth surface equation includes the tooth surface parameters and machining path parameters; The complex curved surface gear tooth surface equation is optimized so that the tooth surface of the corresponding complex curved surface gear approaches the tooth surface of the target small shaft cross-angle conical surface gear. Based on the optimized complex curved surface gear tooth surface equation, the target values of the tooth surface parameters and the target values of the machining path parameters are obtained. Based on the target values of the tooth surface parameters and the target values of the machining path parameters, the target small shaft intersecting bevel gear is machined.
[0006] According to some embodiments of this application, the tooth surface parameters include basic tooth surface parameters and modified tooth surface parameters; The process of obtaining the equation for the modified tooth surface of the production line rack includes: Construct the tooth surface equation of the generating rack; wherein the tooth surface equation of the generating rack includes the basic tooth surface parameters; Based on the tooth surface equation of the generating rack, the tooth profile of the generating rack is modified using a first parabola to obtain the modified tooth surface equation of the generating rack; wherein, the modified tooth surface equation of the generating rack includes the modified tooth surface parameters.
[0007] According to some embodiments of this application, obtaining the complex surface gear tooth surface equation based on the cylindrical worm gear tooth surface equation includes: Based on the spatial positional relationship between the cylindrical worm grinding wheel and the complex curved surface gear and the preset machining path, a position transformation equation is obtained; wherein, the preset machining path is a second parabola; Based on the meshing relationship between the cylindrical worm grinding wheel and the complex curved surface gear, the meshing equation is obtained; Based on the position transformation equation and the meshing equation, the tooth surface equation of the complex curved gear is obtained.
[0008] According to some embodiments of this application, optimizing the complex curved surface gear tooth surface equation so that the tooth surface of the corresponding complex curved surface gear approaches the tooth surface of the target small shaft cross-angle bevel surface gear, and obtaining the target values of the tooth surface parameters and the target values of the machining path parameters based on the optimized complex curved surface gear tooth surface equation, includes: Based on the equation of the tooth surface of the small shaft intersecting conical surface gear, the equation of the tooth surface of the complex curved surface gear, and the normal vector of the small shaft intersecting conical surface gear, the normal deviation between the tooth surface of the small shaft intersecting conical surface gear and the tooth surface of the complex curved surface gear is obtained; Using the tooth surface parameters and the machining path parameters as optimization variables, and taking the normal deviation within a preset minimum range as the optimization objective, the equation of the complex curved surface gear tooth surface is optimized based on a nonlinear optimization solution method. After the optimization objective converges, the optimized equation of the complex curved surface gear tooth surface is obtained; The values of the tooth surface parameters in the optimized complex curved surface gear tooth surface equation are determined as the target values of the tooth surface parameters; The values of the machining path parameters in the optimized equation of the complex curved surface gear tooth surface are determined as the target values of the machining path parameters.
[0009] According to some embodiments of this application, machining the target small shaft angle bevel gear according to the target values of the tooth surface parameters and the target values of the machining path parameters includes: Based on the target values of the tooth surface parameters, the tooth surface equation of the target cylindrical worm grinding wheel is determined; wherein, the tooth surface equation of the target cylindrical worm grinding wheel is the tooth surface equation of the target cylindrical worm grinding wheel; Based on the target values of the processing path parameters, determine the target preset processing path; Based on the tooth surface equation of the target cylindrical worm gear and the target preset machining path, the target small shaft intersecting conical surface gear is machined.
[0010] According to some embodiments of this application, the construction of the gear tooth surface equation and normal vector of the target small-shaft angled conical gear includes: Construct the involute variable tooth thickness gear tooth surface equation and the involute variable tooth thickness gear normal vector; Based on the involute variable tooth thickness gear tooth surface equation, the small shaft cross-angle conical surface gear tooth surface equation is obtained; Based on the normal vector of the involute variable tooth thickness gear, the normal vector of the small shaft intersecting conical surface gear is obtained.
[0011] A small-shaft intersecting bevel gear machining apparatus according to a second aspect embodiment of this application includes: The module is used to construct the gear tooth surface equation and normal vector of the target small shaft angle bevel gear; The acquisition module is used to acquire the tooth surface equation of the production line rack; wherein the production line rack is obtained by modifying the production line rack, and the tooth surface equation of the production line rack includes tooth surface parameters. The first obtaining module is used to obtain the cylindrical worm grinding wheel tooth surface equation of the cylindrical worm grinding wheel according to the tooth surface equation of the modified production line rack; wherein, the cylindrical worm grinding wheel tooth surface is obtained by the envelope of the modified production line rack, and the tooth surface equation of the cylindrical worm grinding wheel includes the tooth surface parameters. The second obtaining module is used to obtain the complex surface gear tooth surface equation of the complex surface gear based on the cylindrical worm grinding wheel tooth surface equation; wherein, the complex surface gear is obtained by the cylindrical worm grinding wheel along a preset machining path, and the complex surface gear tooth surface equation includes the tooth surface parameters and machining path parameters; The third module is used to optimize the complex curved surface gear tooth surface equation so that the tooth surface of the corresponding complex curved surface gear approaches the tooth surface of the target small shaft cross-angle conical surface gear, and obtains the target values of the tooth surface parameters and the target values of the machining path parameters based on the optimized complex curved surface gear tooth surface equation. The machining module is used to machine the target small shaft intersecting bevel gear according to the target values of the tooth surface parameters and the target values of the machining path parameters.
[0012] 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 small shaft intersecting bevel gear machining method as described in the first aspect of the above-described embodiment.
[0013] 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 small shaft cross-angle bevel gear machining method as described in any of the first aspect embodiments above.
[0014] According to a fifth aspect embodiment of this application, a computer-readable storage medium stores computer-executable instructions for performing the small shaft intersecting bevel gear machining method as described in the first aspect embodiment above.
[0015] In this embodiment, a cylindrical worm grinding wheel is used to machine a small-shaft intersecting bevel gear. By optimizing and adjusting the tooth surface and machining path of the cylindrical worm grinding wheel, the resulting curved surface closely approximates the target small-shaft intersecting bevel gear tooth surface, meeting the precision machining requirements of the bevel gear tooth surface. This application can achieve the machining of complex curved small-shaft intersecting bevel gears by dressing a simple cylindrical worm grinding wheel and optimizing its tooth surface and machining path. Furthermore, it offers high grinding efficiency, low technical difficulty, high reliability, and good machining accuracy, providing a foundation for the industrial application of small-shaft intersecting bevel gears.
[0016] 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
[0017] 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 1 This is a schematic flowchart illustrating an embodiment of the small shaft intersecting bevel gear machining method of this application; Figure 2 This is a schematic diagram of the spatial motion relationship between the gear rack and the cylindrical worm grinding wheel in an embodiment of the small shaft intersecting conical surface gear machining method of this application; Figure 3 This is a schematic diagram of a cylindrical worm gear enveloping a complex curved surface gear, which is an embodiment of the small shaft intersecting conical surface gear machining method of this application; Figure 4 This is a schematic diagram illustrating the surface matching between a complex curved surface gear and a small shaft intersecting conical surface gear, representing an embodiment of the small shaft intersecting conical surface gear machining method of this application. Figure 5 This is a schematic diagram illustrating the spatial motion relationship between an involute variable tooth thickness gear and a bevel gear, based on an embodiment of the small shaft intersection angle conical surface gear machining method of this application. Figure 6 This is a schematic diagram showing the tooth surface accuracy measurement results of the small shaft intersecting bevel gear obtained by an embodiment of the small shaft intersecting bevel gear machining method of this application; Figure 7 This is a schematic diagram of an embodiment of the small shaft intersecting bevel gear processing apparatus of this application; Figure 8 This is a schematic diagram of the hardware structure of an embodiment of the electronic device of this application. Detailed Implementation
[0018] 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.
[0019] 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.
[0020] 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.
[0021] 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.
[0022] 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.
[0023] Figure 1 This is a schematic flowchart illustrating an embodiment of the small shaft intersecting bevel gear machining method of this application.
[0024] See below. Figure 1 The embodiments of this application are further described below. This application proposes a method for machining a small-shaft intersecting bevel gear, including the following steps: Step 101: Construct the gear tooth surface equation and normal vector of the target small shaft angle conical surface gear; Step 102: Obtain the tooth surface equation of the modified production line rack; wherein, the modified production line rack is obtained by modifying the production line rack, and the tooth surface equation of the modified production line rack includes tooth surface parameters. Step 103: Based on the tooth surface equation of the modified production line rack, obtain the tooth surface equation of the cylindrical worm grinding wheel; wherein, the tooth surface of the cylindrical worm grinding wheel is obtained by the envelope of the modified production line rack, and the tooth surface equation of the cylindrical worm grinding wheel includes tooth surface parameters. Step 104: Based on the cylindrical worm grinding wheel tooth surface equation, obtain the complex curved surface gear tooth surface equation; wherein, the complex curved surface gear is processed by the cylindrical worm grinding wheel along a preset processing path, and the complex curved surface gear tooth surface equation includes tooth surface parameters and processing path parameters. Step 105: Optimize the complex curved surface gear tooth surface equation so that the tooth surface of the corresponding complex curved surface gear is close to the tooth surface of the target small shaft cross angle bevel surface gear. Based on the optimized complex curved surface gear tooth surface equation, obtain the target values of the tooth surface parameters and the target values of the machining path parameters. Step 106: Based on the target values of the tooth surface parameters and the target values of the machining path parameters, machine the target small shaft intersecting bevel gear.
[0025] In this embodiment, a cylindrical worm grinding wheel is used to machine a small-shaft intersecting bevel gear. By optimizing and adjusting the tooth surface and machining path of the cylindrical worm grinding wheel, the resulting curved surface closely approximates the target small-shaft intersecting bevel gear tooth surface, meeting the precision machining requirements of the bevel gear tooth surface. This application does not use a difficult-to-dress ellipsoidal worm grinding wheel, but instead uses a simple cylindrical worm grinding wheel. After optimizing the tooth surface and machining path of the cylindrical worm grinding wheel, the machining of a small-shaft intersecting bevel gear with a complex curved surface is achieved. Furthermore, the grinding process is efficient, technically simple, reliable, and has good machining accuracy, providing a foundation for the industrial application of small-shaft intersecting bevel gears.
[0026] In step 101 above, the gear tooth surface equation and normal vector of the target small shaft angle bevel gear are constructed. Since the tooth surface of the small shaft angled bevel gear can be obtained by enveloping the involute variable tooth thickness gear, the tooth surface equation and normal vector of the target small shaft angled bevel gear can be determined by constructing the target involute variable tooth thickness gear and enveloping it.
[0027] In steps 102 to 104 above, the grinding wheel used in this application for machining small shaft intersecting bevel gears is a cylindrical worm grinding wheel. It can be understood that the tooth surface of a cylindrical worm grinding wheel can usually be enclosed by a gear rack, and the cylindrical worm grinding wheel can usually enclose complex curved surface gears along the machining path. Therefore, in order to achieve machining small shaft intersecting bevel gears using a cylindrical worm grinding wheel, this application optimizes two aspects of the machining process.
[0028] First, the grinding wheel tooth surface is adjusted. In the conventional approach, the cylindrical worm grinding wheel tooth surface is directly obtained by enveloping the forming rack; however, in this application, in the above steps 102 to 103, the forming rack is first modified to obtain a modified forming rack. In this process, tooth surface parameters are introduced, and then the cylindrical worm grinding wheel tooth surface is obtained based on the envelopment of the modified forming rack.
[0029] Secondly, the machining path of the grinding wheel is adjusted. In the conventional approach, the complex curved gear tooth surface is obtained by directly enveloping the cylindrical worm grinding wheel along a straight machining path. However, in this application, in step 104 above, the complex curved gear tooth surface is obtained by enveloping the cylindrical worm grinding wheel along a preset machining path. The preset machining path is not a straight line, and its shape is affected by the machining path parameters. This process introduces machining path parameters.
[0030] By adjusting the grinding wheel tooth surface and machining path, tooth surface parameters and machining path parameters are introduced, so that the complex curved surface gear tooth surface actually covers a wider range of curved surface shapes generated by the adjusted cylindrical worm grinding wheel envelope, and the adjustable range of curved surface shapes is also wider, making it easier to closely approximate the shape of the small shaft intersection angle conical surface gear tooth surface.
[0031] In step 105 above, using the small shaft intersection angle conical surface gear tooth surface as a reference, the complex curved surface gear tooth surface obtained by the cylindrical worm grinding wheel envelope is made to be highly consistent with the theoretical tooth surface of the small shaft intersection angle. This optimization process can be achieved through nonlinear optimization methods. It can be understood that after optimization, a set of definite tooth surface parameters and machining path parameters can be obtained, namely the target values of the tooth surface parameters and the target values of the machining path parameters. It can be understood that the values of this set of parameters actually represent the corresponding specific cylindrical worm grinding wheel tooth surface and machining path, that is, the cylindrical worm grinding wheel tooth surface and machining path that can realize the machining of the small shaft intersection angle conical surface gear tooth surface are obtained. Finally, as in step 106 above, the machining of the target small shaft intersection angle conical surface gear is achieved.
[0032] In some implementations, the tooth surface parameters include basic tooth surface parameters and modified tooth surface parameters; Obtain the equation of the modified tooth surface of the production line rack, including: Construct the tooth surface equation of the generating rack; wherein, the tooth surface equation of the generating rack includes the basic tooth surface parameters; Based on the tooth surface equation of the generating rack, the tooth profile of the generating rack is modified using the first parabola to obtain the modified tooth surface equation of the generating rack; wherein, the modified tooth surface equation of the generating rack includes the modified tooth surface parameters.
[0033] In this embodiment, a parabola is used to modify the tooth profile of the production rack to obtain a modified production rack.
[0034] The aforementioned basic tooth surface parameters are those inherent in the unmodified production rack, specifically including the normal pressure angle of the production rack; the aforementioned modified tooth surface parameters are determined based on the first parabola, specifically including the parabola coefficient. a r With parameters u r .
[0035] like Figure 2 As shown, the unshaped outline consists of line segments M m0 M m1 , M m2 M m3 This indicates that the corresponding reshaped outline consists of line segments. M00 M 11 , M 22 M 33 The pressure angle of the feed rack is indicated. α f Normal pressure angle m f , for pitch p cm , p cm =π· m f The vertex of the first parabola p 0 is determined by parameters u 0 and relative to point o m offset of o0 l d Confirmed, parabolic coefficient a r With parameters u r Together, they determine the geometry of the shaping curve, when a r When the value is zero, it indicates that the tooth profile of the production rack has not been modified, and the corresponding tooth surface equation is the same as that of a conventional production rack. In the coordinate system S of the modified production line rack... m ( x m , y m , z m In the equation, r is the profile modification equation for the gear rack. m That is, the equation for the modified tooth surface of the aforementioned gear rack can be expressed as: (1) in, u r This can be further expressed as: (2) in, l m coordinate axes y m variables on, z m coordinate axes z m Variables on.
[0036] In some implementations, the cylindrical worm grinding wheel tooth surface equation is obtained based on the tooth surface equation of the profiled production line rack; wherein the cylindrical worm grinding wheel tooth surface is obtained by the envelope of the profiled production line rack, and the cylindrical worm grinding wheel tooth surface equation includes tooth surface parameters.
[0037] In this embodiment, the tooth surface of the cylindrical worm grinding wheel is enveloped by the generating rack, and the establishment of its tooth surface equation needs to be based on the establishment of the tooth surface equation of the generating rack, and the generating rack has undergone tooth profile modification.
[0038] Specifically, such as Figure 2 As shown in the figure, four coordinate systems are displayed, S m0 It is the fixed coordinate system of the gear rack, S m Indicates its coordinate system of motion; S w0 It is the fixed coordinate system of the cylindrical worm grinding wheel, S w This indicates its coordinate system of motion. The axial tilt angle of the cylindrical worm grinding wheel is... λ w The radius of the pitch circle is r w Since the tooth surface of the cylindrical worm grinding wheel is obtained by the envelope of the profiled production line rack, the tooth surface equation r based on the profiled production line rack is... m Based on the spatial relationship and meshing equation between the gear rack and the cylindrical worm grinding wheel, the tooth surface equation r of the cylindrical worm grinding wheel can be derived. w , can be represented as: (3) in, l m coordinate axes y m variables on, z m coordinate axes z m variables on, The rotation angle of the cylindrical worm grinding wheel. f mw It is the meshing equation of the gear rack and the cylindrical worm grinding wheel, M m0m M w0m0 M ww0 It is a position transformation matrix, which can be represented as: (4) (5) (6) in, λ w The axial tilt angle of the cylindrical worm grinding wheel is... This refers to the rotation angle of the cylindrical worm gear grinding wheel.
[0039] In some implementations, the complex surface gear tooth surface equation is obtained from the cylindrical worm grinding wheel tooth surface equation, including: Based on the spatial positional relationship between the cylindrical worm grinding wheel and the complex curved surface gear and the preset machining path, the position transformation equation is obtained; whereby the preset machining path is the second parabola; Based on the meshing relationship between the cylindrical worm grinding wheel and the complex curved surface gear, the meshing equation is obtained; Based on the position transformation equation and the meshing equation, the equation of the tooth surface of the complex curved gear is obtained.
[0040] In this embodiment, the tooth surface of the complex curved gear is generated by machining a cylindrical worm grinding wheel along a predetermined path. This embodiment further obtains the adjusted complex curved gear tooth surface by adjusting the conventional straight machining path of the grinding wheel into a parabolic curve, namely the second parabola. The equation of the complex curved gear tooth surface will include machining path parameters.
[0041] Specifically, such as Figure 3 As shown in the figure, five coordinate systems are displayed, S c0 It is a fixed coordinate system for complex curved surface gears, S c Indicates its coordinate system of motion; S s It is the fixed coordinate system of the cylindrical worm grinding wheel, S w Indicates its coordinate system of motion; S z Use a transition coordinate system. The feed parameters for the cylindrical worm grinding wheel are: E wc The axial inclination angle of the cylindrical worm grinding wheel is λ w The helix angle parameter of a complex curved surface gear is β f Its cone angle parameter is δ f The installation angle of the cylindrical worm grinding wheel is β f - λ w .
[0042] Conventional machining path planning is based on the center of grinding worm gear. o w Based on this, the initial path starting point is H 0, the endpoint is H 1; The path was subsequently modified to a second parabola, with the starting point of the corrected path being... H 00 The destination is H 11 , p d This represents the vertex of the parabola, whose position is determined by the path length. h and parameters h 0 are jointly determined, parameters b and s Then it represents the geometric shape of the parabola, the parameter h0 represents the initial parameter for parabolic shaping of the machining path. b The shaping coefficient ， parameter s It can be represented as: (7) When a cylindrical worm grinding wheel is used to machine complex curved surface gears, the two gears rotate around their respective axes at an angle. and The rotation angles satisfy the transmission ratio formula. z c / z k = / ,in z c and z k These represent the number of teeth for the complex curved surface gear and the cylindrical worm grinding wheel, respectively. The pitch circle radius of the complex curved surface gear is... r c The tooth surface equation r based on the cylindrical worm grinding wheel w Based on the spatial relationship and meshing equation between the cylindrical worm grinding wheel and the complex curved surface gear, the tooth surface equation r of the complex curved surface gear can be derived. c , can be represented as: (8) in, l m coordinate axes y m variables on, z m coordinate axes z m variables on, The rotation angle of the cylindrical worm grinding wheel. Indicates feed parameters E wc Keep rotation parameters unchanged Changing meshing equations Indicates feed parameters E wc Changing rotation parameters The invariant meshing equation, M sw M zs M c0z M cc0 The position transformation matrix can be represented as: (9) (10) (11) (12) It is understandable that, as can be seen from the expression for the position transformation matrix above, the spiral angle... β f , cone angle δ f Initial parameters of the second parabola h 0 and shaping factor b These parameters, which affect the positional transformation relationship from the cylindrical worm grinding wheel to the complex curved surface gear, are called machining path parameters.
[0043] In some implementations, the tooth surface equation of the complex curved surface gear is optimized so that the tooth surface of the corresponding complex curved surface gear approaches the tooth surface of the target small shaft cross-angle bevel surface gear. Based on the optimized complex curved surface gear tooth surface equation, the target values of the tooth surface parameters and the target values of the machining path parameters are obtained, including: Based on the tooth surface equations of the small shaft intersecting conical surface gear, the complex curved surface gear, and the normal vector of the small shaft intersecting conical surface gear, the normal deviation between the tooth surface of the small shaft intersecting conical surface gear and the tooth surface of the complex curved surface gear is obtained. Using tooth surface parameters and machining path parameters as optimization variables, and with the normal deviation within a preset minimum range as the optimization objective, the equation of complex curved gear tooth surface is optimized based on a nonlinear optimization solution method. After the optimization objective converges, the optimized equation for the tooth surface of the complex curved gear is obtained. The values of the tooth surface parameters in the optimized complex curved surface gear tooth surface equation are determined as the target values of the tooth surface parameters. The values of the machining path parameters in the optimized equation of the complex curved surface gear tooth surface are determined as the target values of the machining path parameters.
[0044] In this embodiment, the aim is to use a nonlinear optimization method to make the complex curved gear tooth surface obtained by the cylindrical worm grinding wheel envelope highly consistent with the theoretical tooth surface of the small shaft intersection angle.
[0045] The tooth surface of complex curved gears is determined by both the tooth surface of the cylindrically ground worm and the machining path, such as... Figure 4 As shown, a nonlinear optimization method is used to optimize the tooth surface of a complex curved gear into the tooth surface of a small-shaft angled conical gear. Using the small-shaft angled conical gear tooth surface as a reference, the tooth surface of the cylindrical worm grinding wheel and the machining path are optimized to ensure a high degree of fit between the tooth surface of the complex curved gear and the tooth surface of the small-shaft angled conical gear. Therefore, the small-shaft angled conical gear can be obtained by machining using the corresponding machining parameters for the complex curved gear. Specifically, the optimization variables include tooth surface parameters and machining path parameters, specifically the normal pressure angle. α f helix angle β f, cone angle δ f Initial parameters for tooth profile modification u 0. Tooth profile modification coefficient a r Initial parameters for parabolic shaping of the machining path h 0 and shaping factor b .
[0046] By using the position vectors of the tooth surfaces of the bevel gear with a small shaft and the complex curved surface gear, as well as the normal vector of the bevel gear, the normal deviation between them can be calculated. h i,j , can be represented as: (13) Where, r c Let r1 represent the tooth surface equation of a gear with a complex curved surface, and r2 represent the tooth surface equation of a gear with a small shaft and an angled bevel. Vector n2 represents the normal vector of the bevel gear. i and j This represents the index of grid points uniformly distributed on the tooth surface. The optimization variable x includes the following parameters: normal pressure angle. α f helix angle β f , cone angle δ f Initial parameters for tooth profile modification u 0. Tooth profile modification coefficient a r Initial parameters for parabolic shaping of the machining path h 0 and shaping factor b .
[0047] On the small shaft intersecting conical surface of the gear tooth surface p × q For uniformly distributed grid points, the parameter optimization model aims to minimize the sum of normal deviations, and its expression is: (14) in, F (x) can be represented as: (15) In the optimization process, it is difficult to achieve completely zero deviation between the tooth surfaces of the complex curved surface gear and the conical surface gear with a small shaft intersection angle. While an involute gear with variable tooth thickness can achieve complete conjugate transmission with the small shaft intersection angle gear, the optimized transmission pair in this scheme is actually a complex curved surface gear and an involute gear with variable tooth thickness. To ensure interference-free meshing of this transmission pair, the tooth surface of the complex curved surface gear must always be located on the negative side of the normal vector of the conical surface gear tooth surface. If it is located on the positive side of the normal vector, transmission interference will inevitably occur. To facilitate the solution of the optimization function, an intermediate point is set on the tooth surface of the conical surface gear with a small shaft intersection angle, which can be represented as P. (0.5·p+0.5, 0.5·q+0.5) It is understandable that the midpoint is located on the tooth surface. p × q The center of the uniformly distributed grid points is defined, and the deviation between the conical gear and the complex curved gear at this point is specified to be zero. Simultaneously, to improve the meshing performance between the complex curved gear and the involute gear with varying tooth thickness, the deviation between the complex curved gear and the conical gear needs to gradually transition from zero deviation at the midpoint to positive deviation at the tooth edge point.
[0048] Nonlinear optimization methods can be used to solve the optimization objective. Specifically, nonlinear optimization methods can include trust region method, gradient descent method, simulated annealing method, etc.
[0049] Once the optimization objective converges, the tooth surface parameters and machining path parameters of the cylindrical worm grinding wheel, i.e., the normal pressure angle, can be obtained. α f helix angle β f , cone angle δ f Initial parameters for tooth profile modification u 0. Tooth profile modification coefficient a r Initial parameters for parabolic shaping of the machining path h 0 and shaping factor b The target value is determined so that the height of the complex curved surface gear is close to that of the small shaft angle bevel surface gear, and the small shaft angle bevel surface gear can be machined by a cylindrical worm grinding wheel.
[0050] In some implementations, machining the target small shaft bevel gear according to the target values of the tooth surface parameters and the target values of the machining path parameters includes: Based on the target values of the tooth surface parameters, the tooth surface equation of the target cylindrical worm grinding wheel is determined; where the tooth surface equation of the target cylindrical worm grinding wheel is the tooth surface equation of the target cylindrical worm grinding wheel. Based on the target values of the processing path parameters, determine the target preset processing path; Based on the tooth surface equation of the target cylindrical worm gear and the target preset machining path, machine the target small shaft intersecting bevel gear.
[0051] In this embodiment, by determining the target value, the tooth surface equation of the target cylindrical worm grinding wheel and the target preset machining path can be obtained. Based on the known grinding wheel tooth surface and grinding wheel machining path, the machining of the target small shaft intersecting bevel gear can be realized.
[0052] In some implementations, constructing the gear tooth surface equation and normal vector of the target small-shaft angled bevel gear includes: Construct the involute variable tooth thickness gear tooth surface equation and the involute variable tooth thickness gear normal vector; Based on the involute variable tooth thickness gear tooth surface equation, the small shaft cross-angle conical surface gear tooth surface equation is obtained; Based on the normal vector of the involute variable tooth thickness gear, the normal vector of the small shaft intersection angle conical surface gear is obtained.
[0053] In this embodiment, since the small-axis angled bevel gear can be obtained by enveloping it with an involute variable-tooth-thickness gear, the tooth surface equation and normal vector of the target small-axis angled bevel gear can be obtained by first constructing an involute variable-tooth-thickness gear and then enveloping it with the involute variable-tooth-thickness gear. Furthermore, the involute variable-tooth-thickness gear can be obtained by constructing a forming rack and then enveloping it with the forming rack; this process is existing technology and will not be described further.
[0054] Specifically, such as Figure 5 As shown in the figure, four coordinate systems are displayed, S d The fixed coordinate system represents the involute gear with varying tooth thickness, while S... j This represents its motion coordinate system. For a bevel gear, S... f S2 is its fixed coordinate system, while S2 is its moving coordinate system.
[0055] When an involute gear with varying tooth thickness envelops a bevel gear, the two gears rotate around their respective axes at an angle. and Rotation. The angular relationship satisfies the transmission ratio formula. z 2 / z s = / ,in z s and z 2 represents the number of teeth of the involute variable tooth thickness gear and the bevel gear, respectively, and the axial angle between the axes of the two gears is . θ The pitch circle radius of an involute gear with variable tooth thickness is denoted as... r s The pitch circle radius of a bevel gear is denoted as... r2. The tooth surface equation of an involute gear with variable tooth thickness is r. j The equation r2 for the tooth surface of a bevel gear can be expressed as: (16) The tooth surface normal vector n2 of a bevel gear can be expressed as: (17) in, 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 The variables on the coordinate system S can be understood as... n The coordinate system S of the modified production line rack mentioned earlier. m ( x m , y m , z m There is a corresponding relationship, therefore it can be l=l m , z n = z m n j Let M be the normal vector of the tooth surface of an involute gear with variable tooth thickness, where M dj M fd M 2f L represents the transformation matrix. 2f L fd L dj They are M 2f M fd M dj The matrix M consisting of the first 3 rows and first 3 columns. dj M fd M 2f It can be represented as: (18) (19) (20) Meshing equations for involute gears with varying tooth thickness and bevel gears f j2 It can be represented as: ;(twenty one) In some implementations, a cylindrical worm grinding wheel is used to process a small shaft bevel gear. An optimization model for processing a small shaft bevel gear is established based on formula (14). The tooth surface parameters and processing path parameters of the cylindrical worm grinding wheel are obtained by using a nonlinear optimization algorithm. Subsequently, on a CNC gear grinding machine, a processing file .MPF is written based on the tooth surface of the cylindrical worm grinding wheel and the processing path and imported into the CNC system, so that the small shaft bevel gear can be ground.
[0056] In this embodiment, a coordinate measuring machine is used to measure the machined small shaft intersecting bevel gear for experimental verification. The measurement results are as follows: Figure 6 As shown, the maximum deviation of the tooth surface of the small shaft intersecting bevel gear is 14.9 micrometers, and the tooth surface accuracy can reach level 6 (GBT 11365-2019). Gears with this accuracy can be used in most transmission systems.
[0057] The small shaft intersecting conical surface gear machining method provided in this application embodiment can be executed by a small shaft intersecting conical surface gear machining device 200. This application embodiment uses the small shaft intersecting conical surface gear machining device 200 executing the small shaft intersecting conical surface gear machining method as an example to illustrate the small shaft intersecting conical surface gear machining device 200 provided in this application embodiment.
[0058] Please see Figure 7 This is a schematic diagram of the structure of a small shaft intersecting conical surface gear processing device 200 provided in an embodiment of this application. Figure 7 As shown, the small shaft intersecting bevel gear machining device 200 includes: Module 201 is used to construct the gear tooth surface equation and normal vector of the target small shaft angle conical surface gear; The acquisition module 202 is used to acquire the tooth surface equation of the modified production line rack; wherein, the modified production line rack is obtained by modifying the production line rack, and the tooth surface equation of the modified production line rack includes tooth surface parameters. The first module 203 is used to obtain the cylindrical worm grinding wheel tooth surface equation based on the tooth surface equation of the modified production line rack; wherein, the cylindrical worm grinding wheel tooth surface is obtained by the envelope of the modified production line rack, and the cylindrical worm grinding wheel tooth surface equation includes tooth surface parameters. The second module 204 is used to obtain the complex surface gear tooth surface equation of the complex surface gear based on the cylindrical worm grinding wheel tooth surface equation; wherein, the complex surface gear is obtained by machining the cylindrical worm grinding wheel along a preset machining path, and the complex surface gear tooth surface equation includes tooth surface parameters and machining path parameters. The third module 205 is used to optimize the tooth surface equation of the complex curved surface gear so that the tooth surface of the corresponding complex curved surface gear approaches the tooth surface of the target small shaft cross-angle conical surface gear, and obtains the target values of the tooth surface parameters and the target values of the machining path parameters based on the optimized complex curved surface gear tooth surface equation. The machining module 206 is used to machine the target small shaft angle bevel gear according to the target values of the tooth surface parameters and the target values of the machining path parameters.
[0059] In some implementations, the tooth surface parameters include basic tooth surface parameters and modified tooth surface parameters; Module 202 can be used for: Construct the tooth surface equation of the generating rack; wherein, the tooth surface equation of the generating rack includes the basic tooth surface parameters; Based on the tooth surface equation of the generating rack, the tooth profile of the generating rack is modified using the first parabola to obtain the modified tooth surface equation of the generating rack; wherein, the modified tooth surface equation of the generating rack includes the modified tooth surface parameters.
[0060] In some implementations, the second obtaining module 204 can be used for: Based on the spatial positional relationship between the cylindrical worm grinding wheel and the complex curved surface gear and the preset machining path, the position transformation equation is obtained; whereby the preset machining path is the second parabola; Based on the meshing relationship between the cylindrical worm grinding wheel and the complex curved surface gear, the meshing equation is obtained; Based on the position transformation equation and the meshing equation, the equation of the tooth surface of the complex curved gear is obtained.
[0061] In some implementations, the third obtaining module 205 can be used for: Based on the tooth surface equations of the small shaft intersecting conical surface gear, the complex curved surface gear, and the normal vector of the small shaft intersecting conical surface gear, the normal deviation between the tooth surface of the small shaft intersecting conical surface gear and the tooth surface of the complex curved surface gear is obtained. Using tooth surface parameters and machining path parameters as optimization variables, and with the normal deviation within a preset minimum range as the optimization objective, the equation of complex curved gear tooth surface is optimized based on a nonlinear optimization solution method. After the optimization objective converges, the optimized equation for the tooth surface of the complex curved gear is obtained. The values of the tooth surface parameters in the optimized complex curved surface gear tooth surface equation are determined as the target values of the tooth surface parameters. The values of the machining path parameters in the optimized equation of the complex curved surface gear tooth surface are determined as the target values of the machining path parameters.
[0062] In some implementations, the processing module 206 can be used for: Based on the target values of the tooth surface parameters, the tooth surface equation of the target cylindrical worm grinding wheel is determined; where the tooth surface equation of the target cylindrical worm grinding wheel is the tooth surface equation of the target cylindrical worm grinding wheel. Based on the target values of the processing path parameters, determine the target preset processing path; Based on the tooth surface equation of the target cylindrical worm gear and the target preset machining path, machine the target small shaft intersecting bevel gear.
[0063] In some implementations, the construction module 201 is used for: Construct the involute variable tooth thickness gear tooth surface equation and the involute variable tooth thickness gear normal vector; Based on the involute variable tooth thickness gear tooth surface equation, the small shaft cross-angle conical surface gear tooth surface equation is obtained; Based on the normal vector of the involute variable tooth thickness gear, the normal vector of the small shaft intersection angle conical surface gear is obtained.
[0064] Since the small shaft intersecting bevel gear processing device 200 adopts all the technical solutions of the small shaft intersecting bevel 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.
[0065] This application provides a machine tool including a machine tool body and a controller, the controller being used to perform the small shaft cross-angle bevel gear machining method as described above.
[0066] The aforementioned machine tool can be a five-axis CNC machine tool, specifically, the H350G five-axis CNC machine tool can be used.
[0067] Since the machine tool adopts all the technical solutions of the small shaft intersecting bevel surface 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.
[0068] Figure 8 This is a schematic diagram of the hardware structure of the electronic device provided in the embodiments of this application.
[0069] This electronic device may include a processor 301 and a memory 302 storing computer program instructions.
[0070] 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.
[0071] 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.
[0072] 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.
[0073] The processor 301 reads and executes computer program instructions stored in the memory 302 to implement any of the small shaft intersecting bevel gear machining methods in the above embodiments.
[0074] In one example, the electronic device may also include a communication interface 303 and a bus 310. For example, Figure 8 As shown, the processor 301, memory 302, and communication interface 303 are connected through bus 310 and complete communication with each other.
[0075] The communication interface 303 is mainly used to realize communication between various modules, devices, units and / or equipment in the embodiments of this application.
[0076] 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.
[0077] This electronic device can perform the small shaft intersecting bevel gear machining method described in the embodiments of this application, thereby achieving the combination Figure 1 and Figure 7 The method and apparatus for machining small shaft intersecting bevel gears are described.
[0078] Furthermore, in conjunction with the small-shaft intersecting bevel gear machining method in the above embodiments, this application embodiment can provide a computer storage medium for implementation. This computer storage medium stores computer program instructions; when these computer program instructions are executed by a processor, they implement any of the small-shaft intersecting bevel gear machining methods in the above embodiments.
[0079] 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.
[0080] 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.
[0081] 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.
[0082] 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.
[0083] 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 a small-shaft intersecting bevel gear, characterized in that, include: Construct the gear tooth surface equation and normal vector of the target small shaft angle bevel gear; Obtain the tooth surface equation of the modified production line rack; wherein, the modified production line rack is obtained by modifying the production line rack, and the tooth surface equation of the modified production line rack includes tooth surface parameters; Based on the modified tooth surface equation of the production rack, the cylindrical worm grinding wheel tooth surface equation is obtained; wherein, the cylindrical worm grinding wheel tooth surface is obtained by the envelope of the modified production rack, and the cylindrical worm grinding wheel tooth surface equation includes the tooth surface parameters. Based on the cylindrical worm grinding wheel tooth surface equation, the complex curved surface gear tooth surface equation is obtained; wherein, the complex curved surface gear is obtained by the cylindrical worm grinding wheel along a preset machining path, and the complex curved surface gear tooth surface equation includes the tooth surface parameters and machining path parameters; The complex curved surface gear tooth surface equation is optimized so that the tooth surface of the corresponding complex curved surface gear approaches the tooth surface of the target small shaft cross-angle conical surface gear. Based on the optimized complex curved surface gear tooth surface equation, the target values of the tooth surface parameters and the target values of the machining path parameters are obtained. Based on the target values of the tooth surface parameters and the target values of the machining path parameters, the target small shaft intersecting bevel gear is machined.
2. The method for machining a small-shaft intersecting conical surface gear according to claim 1, characterized in that, The tooth surface parameters include basic tooth surface parameters and modified tooth surface parameters; The process of obtaining the equation for the modified tooth surface of the production line rack includes: Construct the tooth surface equation of the generating rack; wherein the tooth surface equation of the generating rack includes the basic tooth surface parameters; Based on the tooth surface equation of the generating rack, the tooth profile of the generating rack is modified using a first parabola to obtain the modified tooth surface equation of the generating rack; wherein, the modified tooth surface equation of the generating rack includes the modified tooth surface parameters.
3. The method for machining a small-shaft intersecting conical surface gear according to claim 1, characterized in that, The process of obtaining the complex curved surface gear tooth surface equation based on the cylindrical worm grinding wheel tooth surface equation includes: Based on the spatial positional relationship between the cylindrical worm grinding wheel and the complex curved surface gear and the preset machining path, a position transformation equation is obtained; wherein, the preset machining path is a second parabola; Based on the meshing relationship between the cylindrical worm grinding wheel and the complex curved surface gear, the meshing equation is obtained; Based on the position transformation equation and the meshing equation, the equation for the tooth surface of the complex curved gear is obtained.
4. The method for machining a small-shaft intersecting conical surface gear according to claim 1, characterized in that, The process involves optimizing the complex curved surface gear tooth surface equation to make the tooth surface of the corresponding complex curved surface gear approximate the tooth surface of the target small shaft cross-angle bevel surface gear. Based on the optimized complex curved surface gear tooth surface equation, the target values for the tooth surface parameters and the target values for the machining path parameters are obtained, including: Based on the equation of the tooth surface of the small shaft intersecting conical surface gear, the equation of the tooth surface of the complex curved surface gear, and the normal vector of the small shaft intersecting conical surface gear, the normal deviation between the tooth surface of the small shaft intersecting conical surface gear and the tooth surface of the complex curved surface gear is obtained; Using the tooth surface parameters and the machining path parameters as optimization variables, and taking the normal deviation within a preset minimum range as the optimization objective, the equation of the complex curved surface gear tooth surface is optimized based on a nonlinear optimization solution method. After the optimization objective converges, the optimized equation of the complex curved surface gear tooth surface is obtained; The values of the tooth surface parameters in the optimized complex curved surface gear tooth surface equation are determined as the target values of the tooth surface parameters; The values of the machining path parameters in the optimized equation of the complex curved surface gear tooth surface are determined as the target values of the machining path parameters.
5. The method for machining a small-shaft intersecting conical surface gear according to claim 1 or 4, characterized in that, The step of machining the target small shaft angle bevel gear according to the target values of the tooth surface parameters and the target values of the machining path parameters includes: Based on the target values of the tooth surface parameters, the tooth surface equation of the target cylindrical worm grinding wheel is determined; wherein, the tooth surface equation of the target cylindrical worm grinding wheel is the tooth surface equation of the target cylindrical worm grinding wheel; Based on the target values of the processing path parameters, determine the target preset processing path; Based on the tooth surface equation of the target cylindrical worm gear and the target preset machining path, the target small shaft intersecting conical surface gear is machined.
6. The method for machining a small shaft intersecting conical surface gear according to claim 1, characterized in that, The equations for the tooth surface and the normal vector of the small-shaft angled conical surface gear used to construct the target small-shaft angled conical surface gear include: Construct the involute variable tooth thickness gear tooth surface equation and the involute variable tooth thickness gear normal vector; Based on the involute variable tooth thickness gear tooth surface equation, the small shaft cross-angle conical surface gear tooth surface equation is obtained; Based on the normal vector of the involute variable tooth thickness gear, the normal vector of the small shaft intersecting conical surface gear is obtained.
7. A machining device for small shaft intersecting conical surface gears, characterized in that, include: The module is used to construct the gear tooth surface equation and normal vector of the target small shaft angle bevel gear; The acquisition module is used to acquire the tooth surface equation of the production line rack; wherein the production line rack is obtained by modifying the production line rack, and the tooth surface equation of the production line rack includes tooth surface parameters. The first obtaining module is used to obtain the cylindrical worm grinding wheel tooth surface equation of the cylindrical worm grinding wheel according to the tooth surface equation of the modified production line rack; wherein, the cylindrical worm grinding wheel tooth surface is obtained by the envelope of the modified production line rack, and the tooth surface equation of the cylindrical worm grinding wheel includes the tooth surface parameters. The second obtaining module is used to obtain the complex surface gear tooth surface equation of the complex surface gear based on the cylindrical worm grinding wheel tooth surface equation; wherein, the complex surface gear is obtained by the cylindrical worm grinding wheel along a preset machining path, and the complex surface gear tooth surface equation includes the tooth surface parameters and machining path parameters; The third module is used to optimize the complex curved surface gear tooth surface equation so that the tooth surface of the corresponding complex curved surface gear approaches the tooth surface of the target small shaft cross-angle conical surface gear, and obtains the target values of the tooth surface parameters and the target values of the machining path parameters based on the optimized complex curved surface gear tooth surface equation. The machining module is used to machine the target small shaft angle bevel gear according to the target values of the tooth surface parameters and the target values of the machining path parameters.
8. A machine tool, characterized in that, It includes a machine tool body and a controller, the controller being used to perform the small shaft intersecting bevel 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 small shaft cross-angle bevel 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 small shaft intersecting bevel gear machining method as described in any one of claims 1 to 6.