Method for point dressing of worm grinding wheel simplifying trajectory point input

Abstract

This invention discloses a simplified trajectory point input method for worm grinding wheel point dressing, comprising the following steps: Step 1: Derive the design parameters of the gear shaper cutter consistent with the normal cross-section of the worm grinding wheel; Step 2: Establish the tooth surface equation of the gear shaper cutter, solve for the contact point between the point dressing wheel and the worm grinding wheel, and obtain the point dressing trajectory point; Step 3: Establish the theoretical motion relationship between the point dressing wheel and the worm grinding wheel, and derive the theoretical transformation matrix; Step 4: Based on the machine tool kinematic chain, establish the actual motion relationship between the point dressing wheel and the worm grinding wheel, and derive the actual transformation matrix; Step 5: Combine the theoretical transformation matrix and the actual transformation matrix to solve for the linkage relationship of each axis of the machine tool; Step 6: Guide the machine tool to perform dressing operations based on the linkage relationship, wherein the point dressing trajectory point is only input once during the first dressing, solving the problem that multiple point dressings require multiple inputs of trajectory control points, significantly improving the operational efficiency of multiple point dressings, and ensuring the accuracy of the grinding wheel profile after dressing.

Description

Technical Field

[0001] This invention belongs to the field of worm gear grinding wheel dressing technology, specifically a worm gear grinding wheel point dressing method with simplified trajectory point input. Background Technology

[0002] As a core transmission component in the aerospace field, the surface geometry of face gears directly determines the meshing stability, dynamic load distribution, and fatigue life of the gear pair. The worm wheel, as the core forming tool for face gears, directly determines the surface geometry of the face gears through its tooth profile accuracy. During grinding, continuous wear of the grinding wheel leads to profile distortion, necessitating periodic precision dressing to maintain its cutting performance. However, the unique tooth profile of the worm wheel necessitates multi-axis linkage of the machine tool during dressing, requiring high precision. The complexity of the motion makes worm wheel precision dressing a key bottleneck restricting the tooth profile accuracy of face gears. Therefore, developing high-precision worm wheel tooth profile machining technology is the core path to improving the tooth profile accuracy of face gears.

[0003] Currently, the commonly used method for dressing worm gear grinding wheels is profile dressing, which uses a profile dressing wheel as its main tool. The profile dressing contour matches the tooth profile of the virtual gear shaper. This method can dress both the left and right tooth surfaces of the grinding wheel simultaneously, resulting in high efficiency. However, it suffers from poor versatility, high manufacturing costs, and long production cycles. A single profile dressing contour can only be used for dressing one type of grinding wheel tooth profile. Once the grinding wheel parameters change, a corresponding profile dressing wheel needs to be replaced. Furthermore, the accuracy of the profile dressing contour is difficult to guarantee, further affecting the accuracy of the grinding wheel profile.

[0004] Point dressing, as a high-precision worm wheel dressing method, overcomes the limitation of single-shaped dressing wheels by being able to freely generate various complex curved surfaces. Currently, the commonly used point dressing wheels are mainly of two types: double-cone dressing wheels and round-head dressing wheels. Double-cone rollers are composed of two separate conical surfaces joined together; however, the double-cone structure is difficult to precisely match the complex helical curvature of the grinding wheel, especially during axial section dressing, which easily leads to local interference and exacerbates roller wear. Furthermore, when using double-cone rollers for point dressing, the number of machine tool motion axes involved in the linkage is large, increasing the sources of error in the machined worm wheel tooth profile.

[0005] Compared to double-cone dressing rollers, the round-head point dressing wheel technology precisely generates the target trajectory within the axial section of the grinding wheel through reduced-axis linkage, overcoming the limitations of complex profile machining, reducing the low-precision coupling effect between the tilting axis and the deflection axis, and solving the core problem of high-precision dressing of complex curved surfaces. Currently, there is limited research on round-head dressing wheel methods. Existing round-head dressing wheel methods use Z-axis centering for dressing, meaning the point dressing wheel performs dressing on the worm grinding wheel's axial section. This has the following problems: each time the worm grinding wheel is re-dressed, the trajectory control point set in the virtual gear shaper coordinate system needs to be reconstructed and re-imported into the CNC system. This process requires multiple manual interventions, significantly limiting dressing efficiency. Summary of the Invention

[0006] In view of this, the purpose of this invention is to provide a simplified trajectory point input method for worm wheel dressing. Based on the fact that dressing on the normal cross section of the worm wheel does not require multiple trajectory point inputs, by simultaneously establishing the theoretical point dressing and the actual point dressing order transformation matrix considering the machine tool structure, the linkage relationship of each axis of the machine tool in the point dressing process is derived, and finally point dressing is achieved. Moreover, only one trajectory control point input is required, which can significantly improve the operation efficiency of multiple point dressings and ensure the accuracy of the dressing point trajectory and the dressing profile.

[0007] To achieve the above objectives, the present invention provides the following technical solution: A simplified method for dressing the worm gear grinding wheel point by inputting trajectory points includes the following steps: Step 1: Derive the design parameters of the gear shaping cutter that are consistent with the normal cross-section of the worm grinding wheel; the profile of the worm grinding wheel on the normal cross-section is the same as the tooth profile of the gear shaping cutter, and its profile will not change with the radius of the worm grinding wheel; Step 2: Based on the design parameters of the gear shaper, establish the gear shaper tooth surface equation, and solve for the contact point between the point dressing wheel and the worm wheel through coordinate transformation to obtain the point dressing trajectory point; Step 3: Establish the theoretical kinematic relationship between the point dressing wheel and the worm grinding wheel, and derive the theoretical transformation matrix; Step 4: Based on the machine tool kinematic chain, establish the actual kinematic relationship between the point dressing wheel and the worm grinding wheel, and derive the actual transformation matrix; Step 5: Combine the theoretical transformation matrix and the actual transformation matrix to solve for the linkage relationship between each axis of the machine tool; Step 6: Based on the aforementioned linkage relationship, guide the machine tool to perform a trimming operation, wherein the trimming trajectory point is only input once during the first trimming.

[0008] Furthermore, in step one, the gear shaper design parameters include the gear shaper module. Number of teeth Pressure angle The central angle corresponding to half a tooth pitch ,and .

[0009] Furthermore, in step two, the method for solving the point-adjusted trajectory points is as follows: In the coordinate system of the gear shaper The equation of the tooth surface and the unit normal vector of the gear shaping cutter are established below; By transforming the matrix Transform the equation of the gear shaper tooth surface to the fixed coordinate system of the gear shaper. Down; The calculation points are uniformly discrete along the tooth surface of the gear shaper from the tooth tip to the tooth root, and the contact points between the dressing wheel and the worm wheel on the normal section are calculated. .

[0010] Furthermore, in step three, the theoretical motion relationship includes: Establish a motion coordinate system for the dressing wheel at the center of the dressing wheel. Establish a motion coordinate system at the center of the dressing wheel's working area. ; Transform the working area profile equation to the dressing wheel center coordinate system. Down; Based on the intersection point of the point dressing wheel and the worm wheel, the trajectory point of the center of the ball of the point dressing wheel is represented in the fixed coordinate system of the gear shaper. Based on the above-mentioned trajectory point of the center ball of the dressing wheel, and combined with the positional relationship between the dressing wheel and the worm grinding wheel during dressing, a homogeneous coordinate transformation matrix is ​​established from the motion coordinate system of the dressing wheel to the motion coordinate system of the worm grinding wheel.

[0011] Furthermore, in step four, the actual motion relationships include: Establish the motion conversion relationship of each axis of the machine tool during point dressing based on the machine tool kinematic chain; Based on the above motion transformation relationship, the actual transformation matrix from the dressing wheel to the worm grinding wheel is derived. The actual transformation matrix involves the movement of each axis of the machine tool. , , and rotation angle , .

[0012] Furthermore, in step five, the linkage relationship between the machine tool axes is as follows: in: and These are the rotation angles of the machine tool's B-axis and C2-axis, respectively. , and These represent the movement amounts of the machine tool's X, Y, and Z axes, respectively. The lead angle of the worm gear; This refers to the rotation angle of the grinding wheel; and To determine the position of the center of the working part of the dressing wheel in the fixed coordinate system of the gear shaper.

[0013] Furthermore, the point trimming wheel is a round-headed trimming wheel, and its working area is the outline of a sphere.

[0014] The beneficial effects of this invention are as follows: This invention simplifies the trajectory point input method for worm gear grinding wheel dressing. Based on the fact that dressing on the normal cross-section of the worm gear grinding wheel eliminates the need for multiple trajectory point inputs, it constructs the linkage relationship between each axis of the machine tool by simultaneously establishing the theoretical transformation matrix (based on trajectory control point generation in the gear shaper coordinate system) and the actual transformation matrix (derived based on the machine tool kinematic chain structure) of the worm gear grinding wheel dressing process. This achieves the following core effects: (1) Simplified operation process: Only the trajectory control points need to be entered for the first time. Subsequent repeated adjustments do not require re-importing trajectory data, which significantly reduces manual intervention and improves adjustment efficiency; (2) Ensure finishing accuracy: By solidifying the mapping logic between trajectory points and machine tool movement through mathematical relationships, the cumulative error caused by multiple manual inputs is eliminated, which can effectively improve the accuracy of sand profile. (3) Enhanced adaptability: It is suitable for dressing various worm grinding wheels with involute tooth profiles and complex curved surfaces, breaking through the dependence of traditional forming dressing wheels on specific tooth profiles; (4) Optimize machine tool motion: reduce the participation of low-precision coupled axes (tilt axis / deflection axis), guide high-precision axes to perform dressing through precise linkage relationship, and extend equipment life.

[0015] In summary, the worm wheel dressing method of this invention simplifies trajectory point input. Based on the fact that dressing on the normal cross section of the worm wheel does not require multiple trajectory point inputs, by combining the theoretical point dressing with the actual point dressing order transformation matrix considering the machine tool structure, the linkage relationship of each axis of the machine tool in the point dressing process is derived, and finally point dressing is achieved. Moreover, only one trajectory control point input is required, which can significantly improve the operation efficiency of multiple point dressings and ensure the accuracy of the sand profile after dressing. Attached Figure Description

[0016] To make the objectives, technical solutions, and beneficial effects of this invention clearer, the following figures are provided for illustration: Figure 1 This is a flowchart illustrating the simplified trajectory point input method for worm gear grinding wheel point dressing according to the present invention. Figure 2 This is a diagram of the involute tooth profile of a gear shaping cutter; Figure 3 Adjust the coordinate system for the point; Figure 4 The theoretical motion relationship of the point trimming process; Figure 5 The actual motion relationship of the machine tool during the point-fixing process. Detailed Implementation

[0017] The present invention will be further described below with reference to the accompanying drawings and specific embodiments, so that those skilled in the art can better understand and implement the present invention. However, the embodiments described are not intended to limit the present invention.

[0018] like Figure 1 As shown, this embodiment simplifies the worm wheel point dressing method with trajectory point input. First, it derives the design parameters of the gear shaper cutter with the same cross-section as the worm wheel. Based on the gear shaper cutter tooth surface equation, it solves for the point dressing trajectory point through coordinate transformation. Second, based on the established theoretical and actual motion relationships between the point dressing wheel and the worm wheel, it derives the coordinate transformation matrices for the two processes. Finally, it solves the combined transformation matrices of the theoretical and actual motions to obtain the linkage relationship formulas for each axis of the machine tool (Y / Z axes and rotary axes), guiding the machine tool to accurately execute the dressing operation. In this embodiment, the point dressing wheel is a round-headed dressing wheel, and its working area is a spherical contour.

[0019] Specifically, the simplified worm gear grinding wheel point dressing method for trajectory point input in this embodiment includes the following steps.

[0020] Step 1: Derive the design parameters of the gear shaping cutter that are consistent with the normal cross section of the worm wheel; the profile of the worm wheel on the normal cross section is the same as the tooth profile of the gear shaping cutter, and its profile will not change with the radius of the worm wheel. Therefore, when the radius of the worm wheel changes, it is not necessary to recalculate the dressing trajectory points.

[0021] Specifically, the design parameters of the gear shaper include the gear shaper module. Number of teeth Pressure angle The central angle corresponding to half a tooth pitch ,and .

[0022] Step 2: Based on the design parameters of the gear shaper, establish the gear shaper tooth surface equation, and solve for the contact point between the dressing wheel and the worm wheel through coordinate transformation to obtain the dressing trajectory point.

[0023] Specifically, the round-headed dressing wheel can machine various complex profiles of cutting tools. This embodiment takes an involute tooth profile gear shaper as an example to derive the dressing point between the dressing wheel and the worm wheel. On the normal section of the worm wheel, the profile of the worm wheel tool is consistent with the profile of the gear shaper tool. Therefore, the contact point between the point dressing wheel and the gear shaper is actually the dressing point between the point dressing wheel and the worm wheel.

[0024] Specifically, the steps for solving the point-adjusted trajectory points are as follows.

[0025] (1) In the coordinate system of the gear hobbing cutter The equation of the tooth surface and the unit normal vector of the gear shaping cutter are established below.

[0026] like Figure 2 The image shown is the involute tooth profile of a gear shaper cutter, in the gear shaper cutter coordinate system. Below, the equation of the gear hobbing cutter tooth surface and the unit normal vector can be established: in: and These are the equation of the gear shaper tooth surface and the unit normal vector, respectively. The radius of the base circle of the gear hobbing cutter; The initial angle from the center of the tooth groove to the starting point of the involute is denoted as . The angle corresponding to a point on the involute line.

[0027] (2) By transforming the matrix Transform the equation of the gear shaper tooth surface to the fixed coordinate system of the gear shaper. Down: in: It is the central angle corresponding to half a tooth pitch, and , This represents the number of teeth on the gear shaping cutter.

[0028] By transforming the coordinates, we can obtain the coordinate system of the gear shaper cutter. The equations for the left and right tooth surfaces of the gear shaper are shown below: in: and Fixed coordinate system for gear hobbing cutter The equation of the tooth surface and the unit normal vector of the gear shaping cutter; Indicates the axial parameters of the gear shaper; This represents the initial angle from the center of the tooth groove to the starting point of the involute. This represents the angle of development corresponding to a point on the involute. Indicates the base circle radius of the gear shaping cutter; It is the central angle corresponding to half a tooth pitch, and , This represents the number of teeth on the gear shaping cutter; "+" indicates the right tooth face of one tooth profile of the gear shaping cutter, and "-" indicates the left tooth face.

[0029] (3) Calculate the contact point between the dressing wheel and the worm wheel on the normal section by uniformly dispersing the tooth surface from the tooth tip to the tooth root along the tooth surface of the gear cutter. .

[0030] Step 3: Establish the theoretical kinematic relationship between the dressing wheel and the worm wheel, and derive the theoretical transformation matrix.

[0031] 1. The theoretical kinematic relationships include the following:

[0032] (1) Establish a coordinate system for the dressing wheel at the center of the dressing wheel. Establish a motion coordinate system at the center of the dressing wheel's working area. .

[0033] Establish the point trimming wheel coordinate system as follows Figure 3 As shown, a coordinate system for the dressing wheel motion is established at the center of the dressing wheel. Establish a motion coordinate system at the center of the dressing wheel's working area. The working area profile of the point trimming wheel can be determined in coordinate system S. c The inner is represented as: in: and The coordinate system of the sphere center is adjusted at the point. The profile equation and normal vector of the working part of the lower dressing wheel; The radius of the sphere in the working area; The contact angle when the dressing wheel and the grinding wheel come into contact.

[0034] (2) Transform the working area profile equation to the dressing wheel center coordinate system. Down.

[0035] Transformation matrix for: in: To adjust the wheel radius.

[0036] The transformed working area profile equation is: Wherein, "+" and "-" represent the right and left profiles of the dressing wheel, respectively.

[0037] (3) Based on the intersection of the point dressing wheel and the worm wheel, the trajectory point of the center of the ball of the point dressing wheel is represented in the fixed coordinate system of the gear cutter.

[0038] like Figure 4 The diagram shown illustrates the theoretical kinematic relationship between the point dressing wheel and the worm grinding wheel, with the coordinate system... , , These are the motion coordinate systems for the dressing wheel, the virtual gear cutter, and the worm wheel, respectively. , , These are the corresponding static coordinate systems. On the grinding wheel section, the profile of the grinding wheel is consistent with that of the gear shaper. Assuming that during the point dressing stage, the point dressing wheel intersects the worm grinding wheel at point... At this point, the center of the working part of the trimming wheel is in the coordinate system. The position in the middle can be represented as follows: Uniformly discrete contact points and its normal vector Substituting these values ​​will give you the trajectory control point of the ball's center during the point adjustment.

[0039] 2. The derivation method of the theoretical transformation matrix.

[0040] Based on the above solution of trajectory points, the following can be calculated: and Value: in: and The position of the center of the dressing wheel in the fixed coordinate system of the gear shaper; and To determine the position of the center of the working part of the dressing wheel in the fixed coordinate system of the gear shaper.

[0041] Based on the above and The calculation of the value shows that when the roller is dressing on the grinding wheel section, the center of the roller is in the fixed coordinate system of the gear hobbing cutter. The position in the middle.

[0042] like Figure 4 The diagram illustrates the theoretical transformation process from the dressing wheel coordinate system to the worm wheel coordinate system. This transformation can be derived from the dressing wheel coordinate system. To the grinding wheel coordinate system The theoretical transformation matrix is: in: Fixed coordinate system for worm gear grinding wheel To the worm gear grinding wheel motion coordinate system The transformation matrix; Fixed coordinate system for gear hobbing cutter To the fixed coordinate system of the worm gear grinding wheel The transformation matrix; For the gear hobbing cutter's motion coordinate system Fixed coordinate system of gear hobbing cutter The transformation matrix; coordinate system for theoretical machining position of dressing wheel To the gear hobbing cutter motion coordinate system The transformation matrix; To adjust the coordinate system of the actual machining position of the dressing wheel coordinate system of theoretical machining position of dressing wheel The transformation matrix; Dressing wheel fixed coordinate system coordinate system of actual machining position of dressing wheel The transformation matrix; To adjust the wheel motion coordinate system To the fixed coordinate system of the dressing wheel The transformation matrix.

[0043] Finally, the theoretical transformation matrix M is obtained. wd for: in: The lead angle of the worm gear; This refers to the rotation angle of the grinding wheel; The radius of the worm gear grinding wheel; This is the distance from the grinding wheel spindle to the gear shaping cutter spindle; This represents the number of teeth on the gear shaping cutter.

[0044] because The rotation angle of the roller has a negligible impact on the sand profile; therefore, the above formulas are all based on this. Processed.

[0045] Due to the roller suspension angle Angle of rotation of the grinding wheel They are in a transmission ratio relationship and satisfy the following conditions: Therefore, in the above formula Replace all with .

[0046] Step 4: Based on the machine tool kinematic chain, establish the actual motion relationship between the dressing wheel and the worm wheel, and derive the actual transformation matrix. The actual motion relationship includes: establishing the motion transformation relationship of each axis of the machine tool during point dressing based on the machine tool kinematic chain; deriving the actual transformation matrix from the dressing wheel to the worm wheel based on the above motion transformation relationship; the actual transformation matrix involves the movement of each axis of the machine tool. , , and rotation angle , .

[0047] Specifically, Figure 5 The figure shows the actual motion transformation relationship of the machine tool derived from the kinematic chain relationship of the machine tool in the point dressing stage. The coordinate system is... Fixed to the machine tool bed, forming the machine tool bed's static coordinate system. , , , All axes correspond to a fixed coordinate system. for Axis motion coordinate system. , , These represent the offsets of the dressing wheel and the machine tool bed on each axis. Based on the coordinate transformation relationship in the diagram, the actual transformation matrix from the point dressing wheel to the worm grinding wheel can be derived: in: For machine tools Axis fixed coordinate system To machine tool Axis motion coordinate system The transformation matrix; For machine tools Axis fixed coordinate system To machine tool Axis motion coordinate system The transformation matrix; For machine tools Axis fixed coordinate system To machine tool Axis fixed coordinate system The transformation matrix; Fixed coordinate system for machine tool bed To machine tool Axis fixed coordinate system The transformation matrix; For machine tools Axis fixed coordinate system Fixed coordinate system of machine tool bed The transformation matrix; Fixed coordinate system for dressing wheel To machine tool Axis fixed coordinate system The transformation matrix; To adjust the wheel motion coordinate system To the fixed coordinate system of the dressing wheel The transformation matrix.

[0048] Finally, the actual transformation matrix is ​​obtained. for: in: , Indicates the rotation angle of the corresponding axis; , and This indicates the amount of movement corresponding to each axis.

[0049] Step 5: Combine the theoretical transformation matrix and the actual transformation matrix to solve for the linkage relationship of each axis of the machine tool.

[0050] Combine the theoretical and practical transformation matrices from dressing wheel to worm wheel: The machine tool motion command for dressing the left side of the dressing wheel can be obtained: in: and These are the rotation angles of the machine tool's B-axis and C2-axis, respectively. , and These represent the movement amounts of the machine tool's X, Y, and Z axes, respectively. This refers to the rotation angle of the grinding wheel; and To determine the position of the center of the working part of the dressing wheel in the fixed coordinate system of the gear shaper.

[0051] Step 6: Based on the aforementioned linkage relationship, guide the machine tool to perform a trimming operation, wherein the trimming trajectory point is only input once during the first trimming.

[0052] Specifically, the machine tool motion commands are substituted into the actual transformation matrix. The worm gear grinding wheel dressing surface considering the machine tool motion axis is obtained as follows: The above-described embodiments are merely preferred embodiments provided to fully illustrate the present invention, and the scope of protection of the present invention is not limited thereto. Equivalent substitutions or modifications made by those skilled in the art based on the present invention are all within the scope of protection of the present invention. The scope of protection of the present invention is defined by the claims.

Claims

1. A worm wheel point dressing method for simplifying trajectory point input, characterized by: Includes the following steps: Step 1: Derive the design parameters of the gear shaping cutter that are consistent with the normal cross-section of the worm grinding wheel; the profile of the worm grinding wheel on the normal cross-section is the same as the tooth profile of the gear shaping cutter, and its profile will not change with the radius of the worm grinding wheel; Step 2: Based on the design parameters of the gear shaper, establish the gear shaper tooth surface equation, and solve for the contact point between the point dressing wheel and the worm wheel through coordinate transformation to obtain the point dressing trajectory point; Step 3: Establish the theoretical kinematic relationship between the point dressing wheel and the worm grinding wheel, and derive the theoretical transformation matrix; Step 4: Based on the machine tool kinematic chain, establish the actual kinematic relationship between the point dressing wheel and the worm grinding wheel, and derive the actual transformation matrix; Step 5: Combine the theoretical transformation matrix and the actual transformation matrix to solve for the linkage relationship between each axis of the machine tool; Step 6: Based on the aforementioned linkage relationship, guide the machine tool to perform a trimming operation, wherein the trimming trajectory point is only input once during the first trimming. In step one, the gear shaper design parameters include the gear shaper module. Number of teeth Pressure angle The central angle corresponding to half a tooth pitch ,and ; In step two, the method for solving the point-adjusted trajectory points is as follows: In the coordinate system of the gear shaper The equation of the tooth surface and the unit normal vector of the gear shaping cutter are established below; By transforming the matrix Transform the equation of the gear shaper tooth surface to the fixed coordinate system of the gear shaper. Down; The calculation points are uniformly discrete along the tooth surface of the gear shaper from the tooth tip to the tooth root, and the contact points between the dressing wheel and the worm wheel on the normal section are calculated. ; In step three, the theoretical motion relationship includes: Establish a motion coordinate system for the dressing wheel at the center of the dressing wheel. Establish a motion coordinate system at the center of the dressing wheel's working area. ; Transform the working area profile equation to the dressing wheel center coordinate system. Down; Based on the intersection point of the point dressing wheel and the worm wheel, the trajectory point of the center of the ball of the point dressing wheel is represented in the fixed coordinate system of the gear shaper. Based on the above-mentioned ball center trajectory point of the dressing wheel, and combined with the positional relationship between the dressing wheel and the worm grinding wheel during dressing, a homogeneous coordinate transformation matrix from the motion coordinate system of the dressing wheel to the motion coordinate system of the worm grinding wheel is established. In step four, the actual motion relationships include: Establish the motion conversion relationship of each axis of the machine tool during point dressing based on the machine tool kinematic chain; Based on the above motion transformation relationship, the actual transformation matrix from the dressing wheel to the worm grinding wheel is derived. The actual transformation matrix involves the movement of each axis of the machine tool. , , and rotation angle , ; In step five, the linkage relationship between the axes of the machine tool is as follows: in: and These are the rotation angles of the machine tool's B-axis and C2-axis, respectively. , and These represent the movement amounts of the machine tool's X, Y, and Z axes, respectively. The lead angle of the worm gear; This refers to the rotation angle of the grinding wheel; and To determine the position of the center of the working part of the dressing wheel in the fixed coordinate system of the gear shaper.

2. The worm gear grinding wheel point dressing method with simplified trajectory point input according to claim 1, characterized in that: The point dressing wheel is a round-headed dressing wheel, and its working area is the outline of a sphere.

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