Worm grinding wheel point finishing method for simplifying track point input

Abstract

The invention discloses a worm grinding wheel point finishing method for simplifying track point input. The worm grinding wheel point finishing method comprises the following steps that firstly, slotting cutter design parameters consistent with the normal section of a worm grinding wheel are deduced; 2, establishing a slotting cutter tooth surface equation, and solving a contact point of a point finishing wheel and a worm grinding wheel to obtain a point finishing track point; 3, establishing a theoretical motion relation between the point finishing wheel and the worm grinding wheel, and deducing a theoretical transformation matrix; 4, based on a machine tool kinematic chain, the actual motion relation between the point finishing wheel and the worm grinding wheel is established, and an actual transformation matrix is deduced; 5, the theoretical transformation matrix and the actual transformation matrix are combined, and a linkage relational expression of all shafts of the machine tool is solved; and 6, the machine tool is guided to execute finishing operation based on the linkage relational expression, the point finishing track points are only input once during first-time finishing, the problem that track control points need to be input for multiple times during multiple times of point finishing is solved, the operation efficiency of multiple times of point finishing can be remarkably improved, and the sand contour precision after finishing can be ensured.

Description

TECHNICAL FIELD

[0001] The application belongs to the technical field of worm grinding wheel dressing, and particularly relates to a worm grinding wheel point dressing method with simplified trajectory point input. BACKGROUND

[0002] As a core transmission component in the aviation field, the geometric precision of the face gear directly determines the meshing stability, dynamic load distribution and fatigue life of the gear pair. The worm grinding wheel, as the core forming tool of the face gear, directly determines the geometric precision of the face gear. In the grinding process, the profile distortion caused by the continuous wear of the grinding wheel must be maintained by regular precision dressing to maintain its cutting performance. However, the unique tooth profile of the worm grinding wheel requires multi-axis linkage of the machine tool and high linkage accuracy during the dressing process. The complexity of the movement makes the precision dressing of the worm grinding wheel a key bottleneck restricting the tooth profile accuracy of the face gear. Therefore, developing high-precision worm grinding wheel tooth profile machining technology is the core path to improve the tooth profile accuracy of the face gear.

[0003] The commonly used worm grinding wheel dressing method at present is profile dressing, and the main tool is a profile dressing wheel. The profile of the profile dressing wheel is consistent with the tooth profile of the virtual gear shaping cutter, and it can simultaneously dress the left and right tooth surfaces of the grinding wheel, which is high in efficiency but poor in universality, high in manufacturing cost and long in cycle. A profile of the profile dressing wheel can only be used for dressing a kind of grinding wheel tooth profile, and once the parameters of the grinding wheel are changed, the profile dressing wheel with the corresponding profile needs to be replaced. In addition, the profile accuracy of the profile dressing wheel is difficult to guarantee, which further affects the profile accuracy of the grinding wheel.

[0004] Point dressing, as a high-precision worm grinding wheel dressing method, can freely generate various complex curved surfaces, overcoming the limitation of single dressing tooth profile of the profile dressing wheel. The commonly used point dressing wheel mainly includes a double-cone dressing wheel and a round-head dressing wheel. The double-cone dressing wheel is composed of two separate cone surfaces, but the double-cone structure is difficult to accurately match the complex spiral curvature of the grinding wheel, especially when dressing in the axial section, local interference is prone to occur, which aggravates the wear of the dressing wheel. At the same time, when the double-cone dressing wheel is used for point dressing, the number of machine tool movement axes involved in linkage is relatively large, and the sources of tooth profile error of the processed worm grinding wheel are increased.

[0005] Compared with the double-cone dressing wheel, the round-head point dressing wheel dressing technology generates the target trajectory in the axial section of the grinding wheel through less-axis linkage, breaks through the limitation of complex profile machining, reduces the low-precision coupling effect of the tilt axis and the deflection axis, and solves the core problem of high-precision dressing of complex curved surfaces. At present, there is less research on the dressing method of the round-head dressing wheel, and the dressing method of the round-head dressing wheel disclosed in the prior art adopts the Z-axis centering form for dressing, that is, the point dressing wheel is used for dressing in the axial section of the worm grinding wheel. The following problems exist: each time the worm grinding wheel is re-dressed, the trajectory control point set in the virtual gear shaping cutter coordinate system needs to be reconstructed and imported into the numerical control system again. This process requires multiple manual interventions, which significantly restricts the dressing efficiency. SUMMARY

[0006] Therefore, the present application aims to provide a worm grinding point dressing method for simplifying trajectory point input, which does not require multiple inputs of trajectory points for dressing on the worm grinding law section, derives the linkage relationship of each axis of the machine tool in the point dressing process by using the homogeneous transformation matrix of the theoretical point dressing and the actual point dressing considering the machine tool structure, finally realizes the point dressing, and only needs to input the trajectory control point once, which can significantly improve the operation efficiency of multiple point dressing and ensure the accuracy of the dressing point trajectory and the dressing profile of the grinding wheel.

[0007] To achieve the above-mentioned purpose, the present application provides the following technical solutions: A worm grinding point dressing method for simplifying trajectory point input, comprising the following steps: Step one: derive the gear shaping cutter design parameters consistent with the worm grinding law section; the profile of the worm grinding wheel is the same as the gear shaping cutter profile in the law section, and the profile will not change with the change of the worm grinding wheel radius; Step two: based on the gear shaping cutter design parameters, establish the gear shaping cutter tooth surface equation, and solve the contact point of the point dressing wheel and the worm grinding wheel through coordinate transformation to obtain the point dressing trajectory point; Step three: establish the theoretical motion relationship of the point dressing wheel and the worm grinding wheel, and derive the theoretical transformation matrix; Step four: based on the machine tool motion chain, establish the actual motion relationship of the point dressing wheel and the worm grinding wheel, and derive the actual transformation matrix; Step five: solve the linkage relationship of each axis of the machine tool by combining the theoretical transformation matrix and the actual transformation matrix; Step six: based on the linkage relationship, guide the machine tool to perform dressing operation, wherein the point dressing trajectory point is only input once at the first dressing.

[0008] Further, in the step one, the gear shaping cutter design parameters include gear shaping cutter module , tooth number , pressure angle and the central angle corresponding to half the pitch , and .

[0009] Further, in the step two, the method steps for solving the point dressing trajectory point are: establish the gear shaping cutter tooth surface equation and the unit normal vector in the gear shaping cutter motion coordinate system ; transform the gear shaping cutter tooth surface equation to the gear shaping cutter fixed coordinate system by using the transformation matrix ; The contact points of the point dressing wheel and the worm grinding wheel in the normal section are evenly dispersed from the tooth top to the tooth root along the pinion cutter tooth surface .

[0010] Further, in the step three, the theoretical motion relationship includes: establishing a motion coordinate system of the point dressing wheel at the center of the point dressing wheel and establishing a motion coordinate system at the center of the working area of the point dressing wheel ; converting the working area profile equation to the coordinate system at the center of the point dressing wheel ; based on the intersection points of the point dressing wheel and the worm grinding wheel, representing the ball center trajectory points of the point dressing wheel in the fixed coordinate system of the pinion cutter based on the ball center trajectory points of the point dressing wheel, and combining the position relationship between the point dressing wheel and the worm grinding wheel during dressing, a homogeneous coordinate conversion matrix of the motion coordinate system of the point dressing wheel to the motion coordinate system of the worm grinding wheel is established.

[0011] Further, in the step four, the actual motion relationship includes: based on the machine tool motion chain, establishing the motion conversion relationship of each axis of the machine tool during point dressing based on the above motion conversion relationship, deducing the actual conversion matrix of the point dressing wheel to the worm grinding wheel the actual conversion matrix is related to the movement amount 、 、 and the rotation angle 、 .

[0012] Further, in the step five, the linkage relationship of each axis of the machine tool is: wherein: and are the rotation angles of the machine tool B axis and C2 axis respectively 、 and are the movement amounts of the machine tool X axis, Y axis and Z axis respectively is the lead angle of the worm is the rotation angle of the grinding wheel and are the positions of the ball center of the working part of the point dressing wheel in the fixed coordinate system of the pinion cutter

[0013] Further, the point dressing wheel is a round head dressing wheel, and the working area thereof is a spherical profile.

[0014] The present application has the following beneficial effects: The worm grinding point dressing method simplifies the trajectory point input, based on not needing to input trajectory points multiple times for dressing on the worm grinding law section, through the simultaneous transformation matrix of the worm grinding point dressing process (generating trajectory control points based on the gear shaping cutter coordinate system) and the actual transformation matrix (deduced based on the machine tool kinematic chain structure), the linkage relationship of each axis of the machine tool is constructed, and the following core effects are achieved: (1) Simplify the operation process: only the first input of the trajectory control point is needed, and subsequent repeated dressing does not need to re-import the trajectory data, which significantly reduces the manual intervention link and improves the dressing efficiency; (2) Ensure dressing accuracy: through the mapping logic of the mathematical relationship between the trajectory point and the machine tool motion, the cumulative error caused by manual input multiple times is eliminated, which can effectively improve the grinding profile accuracy; (3) Enhance adaptability: suitable for involute tooth profile, complex curved surface and other types of worm grinding dressing, break through the dependence of traditional forming dressing wheel on specific tooth profile; (4) Optimize machine tool motion: reduce the participation of low-precision coupled axes (tilt axis / deflection axis), and guide high-precision axes to perform dressing through accurate linkage relationship, prolong the service life of the equipment.

[0015] In summary, the worm grinding point dressing method simplifies the trajectory point input, based on not needing to input trajectory points multiple times for dressing on the worm grinding law section, through the simultaneous transformation matrix of the worm grinding point dressing process (generating trajectory control points based on the gear shaping cutter coordinate system) and the actual transformation matrix (deduced based on the machine tool kinematic chain structure), the linkage relationship of each axis of the machine tool is constructed, and the following core effects are achieved: BRIEF DESCRIPTION OF DRAWINGS

[0016] In order to make the purpose, technical scheme and beneficial effects of the present application clearer, the present application provides the following drawings for illustration: Figure 1 The flowchart of the worm grinding point dressing method simplifying the trajectory point input of the present application; Figure 2 The involute tooth profile of the gear shaping cutter; Figure 3 The point dressing wheel coordinate system; Figure 4 The theoretical motion relationship of the point dressing process; Figure 5 The actual motion relationship of the machine tool in the point dressing process. DETAILED DESCRIPTION

[0017] The present application will be further described below in combination with the drawings and specific embodiments, so that those skilled in the art can better understand the present application and implement it, but the embodiments are not limiting the present application.

[0018] like Figure 1 As shown, this embodiment simplifies the input of trajectory points for worm grinding wheel point dressing. First, the design parameters of the gear shaping cutter are derived, consistent with the worm grinding wheel's cross-section. Based on the gear shaping cutter tooth surface equation, coordinate transformation is used to solve the point dressing trajectory points. Next, the coordinate transformation matrices for the two processes are derived based on the established theoretical and actual motion relationships between the point dressing wheel and the worm grinding wheel. Finally, the transformation matrices for the theoretical and actual motions are solved jointly, ultimately resulting in the linkage relationship between each axis of the machine tool (Y / Z axes and the rotation axis), guiding the machine tool to accurately perform the dressing operation. In this embodiment, the point dressing wheel is a round-head dressing wheel, and its working area is the contour of a sphere.

[0019] Specifically, the worm grinding wheel point dressing method with simplified 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 grinding wheel; the profile of the worm grinding wheel on the normal cross-section is the same as the gear shaping cutter tooth profile, and its profile does not change with the change of the worm grinding wheel radius. Therefore, when the worm grinding wheel radius changes, there is no need to recalculate the dressing trajectory points.

[0021] Specifically, the gear shaping cutter design parameters include the gear shaping cutter module , number of teeth , pressure angle The central angle corresponding to half the tooth pitch ,and .

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

[0023] Specifically, a rounded point dressing wheel can produce tools with a variety of complex profiles. This example uses an involute gear-shaping cutter as an example to derive the dressing points for the dressing wheel and worm grinding wheel. On the normal cross-section of the worm grinding wheel, the profile of the worm grinding wheel is identical to that of the gear-shaping cutter, so the contact point between the point dressing wheel and the gear-shaping cutter is actually the dressing point between the point dressing wheel and the worm grinding wheel.

[0024] Specifically, the method and steps for solving the point trimming trajectory points are as follows.

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

[0026] like Figure 2 The figure shows the involute tooth profile of the gear shaping cutter. The gear shaping cutter tooth surface equation and unit normal vector can be established: wherein: and are the pinion cutter tooth surface equation and unit normal vector respectively; is the pinion cutter base circle radius; is the initial angle of the tooth slot center to the involute start point, is the development angle corresponding to a point on the involute.

[0027] (2) The pinion cutter tooth surface equation is transformed to the pinion cutter fixed coordinate system by the transformation matrix as follows: wherein: is the central angle corresponding to half the pitch, and , is the number of pinion cutter teeth.

[0028] Through coordinate transformation, the left and right tooth surface equations of the pinion cutter in the pinion cutter fixed coordinate system can be obtained as follows: wherein: and are the pinion cutter tooth surface equation and unit normal vector in the pinion cutter fixed coordinate system ; represents the pinion cutter axial parameter; represents the initial angle of the tooth slot center to the involute start point; represents the development angle corresponding to a point on the involute; represents the pinion cutter base circle radius; is the central angle corresponding to half the pitch, and , is the number of pinion cutter teeth; "+" represents the right tooth surface of a pinion cutter tooth profile, and "-" represents the left tooth surface.

[0029] (3) Along the pinion cutter tooth surface, uniformly disperse from the tooth tip to the tooth root, and calculate the contact points of the point dressing wheel and the worm grinding wheel on the normal section. .

[0030] Step three: establish the theoretical motion relationship of the point dressing wheel and the worm grinding wheel, and deduce the theoretical transformation matrix.

[0031] 1. The theoretical motion relationship includes the following contents.

[0032] (1) The dressing wheel motion coordinate system is established at the center of the point dressing wheel and the motion coordinate system is established at the center of the dressing wheel working area .

[0033] The point dressing wheel coordinate system is established as shown in Figure 3 , and the motion coordinate system of the dressing wheel is established at the center of the dressing wheel working area , the motion coordinate system is established at the center of the dressing wheel working area , the point dressing wheel working area profile can be represented in the coordinate system S c : wherein: and are the point dressing wheel working part profile equation and normal vector in the point dressing wheel spherical center coordinate system ; is the spherical radius of the working area; is the contact angle of the dressing wheel and the grinding wheel when in contact.

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

[0035] The conversion matrix is: wherein: is the radius of the dressing wheel.

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

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

[0038] As shown in Figure 4 , the theoretical motion relationship diagram of the point dressing wheel and the worm grinding wheel, the coordinate systems , , are the motion coordinate systems of the dressing wheel, the virtual gear shaping cutter and the worm grinding wheel, respectively, and the coordinate systems , , are the corresponding static coordinate systems. On the grinding wheel method section, the profile of the grinding wheel is consistent with the profile of the gear shaping cutter. It is assumed that the point dressing wheel intersects with the worm grinding wheel at point during the point dressing stage, and the position of the spherical center of the working part of the point dressing wheel in the coordinate system can be represented as follows: uniformly dispersed contact points and their normal vectors Substitute to get the trajectory control point of the ball center of the point dressing wheel.

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

[0040] Based on the solution of the trajectory point, the values of and are calculated: wherein: and are the positions of the center of the point dressing wheel in the fixed coordinate system of the gear shaper cutter; and are the positions of the ball center of the working part of the dressing wheel in the fixed coordinate system of the gear shaper cutter.

[0041] Through the calculation of the values of and , the position of the center of the roller in the fixed coordinate system of the gear shaper cutter when the roller is dressed on the grinding wheel section can be obtained.

[0042] As shown in Figure 4 , the theoretical conversion process of the point dressing wheel coordinate system to the worm grinding wheel coordinate system can be obtained, and the theoretical transformation matrix from the dressing wheel coordinate system to the grinding wheel coordinate system is: wherein: is the conversion matrix from the fixed coordinate system of the worm grinding wheel to the moving coordinate system of the worm grinding wheel ; is the conversion matrix from the fixed coordinate system of the gear shaper cutter to the fixed coordinate system of the worm grinding wheel ; is the conversion matrix from the moving coordinate system of the gear shaper cutter to the fixed coordinate system of the gear shaper cutter ; is the conversion matrix from the theoretical machining position coordinate system of the dressing wheel to the moving coordinate system of the gear shaper cutter ; is the conversion matrix from the actual machining position coordinate system of the dressing wheel to the theoretical machining position coordinate system of the dressing wheel ; the fixed coordinate system of the dressing wheel to the actual machining position coordinate system of the dressing wheel The transformation matrix of The motion coordinate system of the dressing wheel To the dressing wheel fixed coordinate system The transformation matrix.

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

[0044] because is the roller rotation angle. The roller rotation angle has little effect on the sand profile and can be ignored. Therefore, the above formulas are based on Processed.

[0045] Due to the roller suspension angle Grinding wheel rotation angle In a transmission ratio relationship, satisfying , so in the above formula All replaced by .

[0046] 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. The actual motion relationship includes: establishing the motion conversion 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 grinding wheel based on the above motion conversion relationship; the actual transformation matrix involves the movement amount 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 based on the machine tool motion chain relationship in the point dressing stage. It is fixed to the machine bed and serves as the static coordinate system of the machine bed. 、 、 、 Each axis corresponds to a fixed coordinate system. for Axis motion coordinate system. 、 , respectively represent the offset of the dressing wheel and the machine bed in each axis. According to the coordinate transformation relationship in the figure, the actual transformation matrix of the point dressing wheel to the worm grinding wheel can be derived: wherein: is the transformation matrix of the machine bed axis fixed coordinate system to the machine bed axis moving coordinate system; is the transformation matrix of the machine bed axis fixed coordinate system to the machine bed axis moving coordinate system; is the transformation matrix of the machine bed axis fixed coordinate system to the machine bed axis fixed coordinate system; is the transformation matrix of the machine bed bed body fixed coordinate system to the machine bed axis fixed coordinate system; is the transformation matrix of the machine bed bed body fixed coordinate system to the machine bed axis fixed coordinate system; is the transformation matrix of the machine bed axis fixed coordinate system to the machine bed axis fixed coordinate system; is the transformation matrix of the machine bed axis fixed coordinate system to the machine bed bed body fixed coordinate system; is the transformation matrix of the machine bed axis fixed coordinate system to the machine bed bed body fixed coordinate system; is the transformation matrix of the dressing wheel fixed coordinate system to the machine bed axis fixed coordinate system; is the transformation matrix of the dressing wheel moving coordinate system to the dressing wheel fixed coordinate system. wherein: , represent the rotation angle of the corresponding axis; ,

[0048] and represent the movement amount of each axis. wherein: , represent the rotation angle of the corresponding axis; , and represent the movement amount of each axis.

[0049] Step five: solve the linkage relationship of each axis of the machine tool by combining the theoretical transformation matrix and the actual transformation matrix.

[0050] Combine the theoretical transformation matrix and the actual transformation matrix of the dressing wheel to the worm grinding wheel: ​​​ The machine tool motion instructions for left side dressing of the point dressing wheel can be obtained: Wherein: and are the rotation angles of the machine tool B axis and C2 axis respectively; , and are the movement amounts of the machine tool X axis, Y axis and Z axis respectively; is the rotation angle of the grinding wheel; and are the positions of the ball center of the working part of the dressing wheel in the fixed coordinate system of the gear shaping cutter.

[0051] Step six: based on the linkage relationship, guiding the machine tool to perform dressing operation, wherein the point dressing track point is input only once at the first time of dressing.

[0052] Specifically, the machine tool motion instructions are substituted into the actual transformation matrix to obtain the point dressing tooth surface of the worm grinding wheel considering the machine tool motion axis, which is expressed as: The above-described embodiments are only preferred embodiments for fully illustrating the present application, and the protection scope of the present application is not limited thereto. The equivalent substitutions or transformations made by the skilled in the art on the basis of the present application are within the protection scope of the present application. The protection scope of the present application is subject to the claims.

Claims

1. A worm grinding wheel point dressing method with simplified trajectory point input, characterized by: The steps include: Step 1: Derivation of design parameters for a gear shaping cutter that is consistent with the normal cross-section of the worm grinding wheel; the worm grinding wheel has a profile on the normal cross-section that is identical to the tooth profile of the gear shaping cutter, and its profile does not change with changes in the radius of the worm grinding wheel; Step 2: Based on the gear shaping cutter design parameters, establish the gear shaping cutter tooth surface equation, and solve the contact point between the point dressing wheel and the worm grinding wheel through coordinate transformation to 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 the linkage relationship between the axes of the machine tool; Step 6: Based on the linkage relationship, guide the machine tool to perform the dressing operation, wherein the point dressing trajectory point is only input once during the first dressing.

2. The worm grinding wheel point dressing method with simplified trajectory point input according to claim 1 is characterized in that: In the step 1, the gear shaping cutter design parameters include the gear shaping cutter module , number of teeth , pressure angle The central angle corresponding to half the tooth pitch ,and .

3. The worm grinding wheel point dressing method with simplified trajectory point input according to claim 1, characterized in that: In step 2, the method steps for solving the point trimming trajectory point are as follows: In the gear shaping cutter motion coordinate system The gear shaping cutter tooth surface equation and unit normal vector are established below; Through the transformation matrix Transform the gear shaper tooth surface equation to the gear shaper fixed coordinate system Down; The contact point between the dressing wheel and the worm grinding wheel on the normal section is calculated by uniformly dispersing the tooth surface from the tooth top to the tooth root. .

4. The worm grinding wheel point dressing method with simplified trajectory point input according to claim 1 is characterized in that: In step 3, the theoretical motion relationship includes: Establish the dressing wheel motion coordinate system at the center of the dressing wheel And establish a motion coordinate system at the center of the dressing wheel working area ; Convert the working area profile equation to the dressing wheel center coordinate system Down; Based on the intersection point between the point dressing wheel and the worm grinding wheel, the trajectory point of the ball center of the point dressing wheel is expressed in the fixed coordinate system of the gear shaping cutter; Based on the above-mentioned point dressing wheel ball center trajectory points and combined with the positional relationship between the point dressing wheel and the worm grinding wheel during dressing, a homogeneous coordinate conversion matrix from the point dressing wheel motion coordinate system to the worm grinding wheel motion coordinate system is established.

5. The worm grinding wheel point dressing method with simplified trajectory point input according to claim 1 is characterized in that: In step 4, the actual motion relationship includes: Establish the motion conversion relationship of each axis of the machine tool during point dressing based on the machine tool motion chain; Based on the above motion conversion 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 、 .

6. The worm grinding wheel point dressing method with simplified trajectory point input according to claim 1 is characterized in that: In step 5, the linkage relationship between the axes of the machine tool is: in: and are the rotation angles of the machine tool B axis and C2 axis respectively; 、 and They are the movement amounts of the X-axis, Y-axis and Z-axis of the machine tool respectively; is the lead angle of the worm; is the grinding wheel rotation angle; and It is the position of the center of the sphere of the working part of the dressing wheel in the fixed coordinate system of the gear shaping cutter.

7. The worm grinding wheel point dressing method with simplified trajectory point input according to claim 1, characterized in that: The point dressing wheel is a round head dressing wheel, and its working area is a spherical contour.

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