CN111967096A - Design method of diamond roller and worm grinding wheel - Google Patents

Design method of diamond roller and worm grinding wheel Download PDF

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CN111967096A
CN111967096A CN202010519002.7A CN202010519002A CN111967096A CN 111967096 A CN111967096 A CN 111967096A CN 202010519002 A CN202010519002 A CN 202010519002A CN 111967096 A CN111967096 A CN 111967096A
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grinding wheel
worm grinding
worm
diamond roller
tooth
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CN111967096B (en
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周元生
唐进元
石贤林
张无忌
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Central South University
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Abstract

The application relates to the field of grinding of face gears, in particular to a design method of a diamond roller and a worm grinding wheel, which comprises the following steps: step one, obtaining a tooth surface equation of the worm grinding wheel through a tooth surface equation of a gear shaper cutter; step two, obtaining the section tooth profile of the worm grinding wheel shaft according to the tooth surface equation of the worm grinding wheel in the step one, and taking the section tooth profile of the worm grinding wheel shaft as the tooth profile of the diamond roller; and step three, establishing a coordinate system of the worm grinding wheel enveloped by the diamond roller to obtain the worm grinding wheel enveloped by the diamond roller. This application adopts new profile of tooth formula buddha's warrior attendant gyro wheel flank profile to process the worm grinding wheel, carries out rational design through the profile of tooth formula buddha's warrior attendant gyro wheel flank profile to processing worm grinding wheel for the worm grinding wheel flank of tooth precision that processed is higher, thereby has guaranteed that the face gear that worm grinding wheel ground out has higher precision.

Description

Design method of diamond roller and worm grinding wheel
[ technical field ] A method for producing a semiconductor device
The application relates to the field of grinding of face gears, in particular to a design method of a diamond roller and a worm grinding wheel.
[ background of the invention ]
The face gear transmission has the advantages of compact structure, convenient installation and debugging, and large transmission ratio and contact ratio. At present, the high-precision and high-efficiency processing of a face gear is mainly realized by a grinding mode of a worm grinding wheel, and the worm grinding wheel is mainly obtained by processing a conical-surface diamond roller or a tooth-shaped diamond roller. The processing method of the worm grinding wheel by the conical-surface diamond roller mainly comprises the following three steps:
1) calculating a series of tooth surface discrete points with a distribution rule on the tooth surface of the worm grinding wheel according to the tooth surface expression of the worm grinding wheel;
2) and selecting a point (corresponding to a line on the tooth surface of the conical-surface diamond roller) in the section of the conical-surface diamond roller shaft, so that the point is tangent to each point on the tooth surface of the worm grinding wheel. Therefore, the cutter positions of the conical-surface diamond roller in the machining of the tooth surface of the worm grinding wheel are calculated.
3) According to the principle of 2), a machine tool coordinate system of actual machining is established, the positions of the axes of the machine tool at each time of machining are calculated, and an NC code is generated.
Among the three steps, the step 1)2) mainly comprises the following four steps:
a) establishing a coordinate system of the gear shaper cutter enveloping the worm grinding wheel, and using a gear shaper cutter tooth surface equation r through coordinate transformation and meshing principless(us,uz) And normal vector n of tooth surfaces(us,uz) Derivation of tooth surface equation r of worm grinding wheelws(us,φs) And normal vector n of tooth surfacews(us,φs)。
b) By discrete worm wheel tooth surface equation rws(us,φs) Normal vector n of tooth surfacews(us,φs) Parameter u ofs,φsAnd obtaining a series of tooth surface points of the worm grinding wheel and normal vectors corresponding to the tooth surface points.
c) The tooth surface equation and the tooth surface normal vector of the conical surface diamond roller can be respectively expressed as: r isc(ux,θs) And nc(ux,θs). Selecting a point r on the section tooth profile of the conical surface diamond roller shaftc *(ux *，θs *) The normal vector of the tooth surface corresponding to the point is nc *(ux *，θs *). The point is tangent to a certain point on the tooth surface of the worm grinding wheel, so that the point is processed, and the process is repeated circularly until the whole tooth surface of the worm grinding wheel is processed.
The worm grinding wheel for machining the conical-surface diamond roller mainly has the following problems:
when the conical-surface diamond roller is adopted to process the worm grinding wheel, a large number of processing paths need to be planned to process a high-precision worm grinding wheel, and the processing efficiency is low.
In the step a), singular points may appear on the tooth surface of the worm grinding wheel calculated by the gear shaper cutter enveloping method, and the cutter position and the cutter shaft vector of the cutter at the singular points cannot be solved.
The high-precision worm grinding wheel machined by the conical-surface diamond roller has very high requirements on the control precision of the machine tool and the stroke of each shaft of the machine tool.
The processing method of the worm grinding wheel by the tooth-shaped diamond roller mainly comprises the following two steps:
4) defining the tooth profile of the tooth-shaped diamond roller and establishing a model for processing the worm grinding wheel by the tooth-shaped diamond roller;
5) according to the principle of 4), a machine tool coordinate system of actual machining is established, the positions of the axes of the machine tool at each time of machining are calculated, and an NC code is generated.
The most main problems of the tooth-shaped diamond roller machining worm grinding wheel are as follows:
the tooth profile of the toothed diamond roller is difficult to accurately define, and the tooth profile of a slotting cutter or the equivalent gear tooth profile is mainly adopted as the tooth profile of the diamond roller at present. Thus, the processed worm grinding wheel is difficult to meet the requirement of grinding the precise face gear.
[ summary of the invention ]
In order to solve the problem that the tooth profile of the existing tooth-form diamond roller is difficult to accurately define, and the machined worm grinding wheel is difficult to meet the requirement of grinding a precise face gear, the application provides a design method of the tooth-form diamond roller and the worm grinding wheel.
The technical scheme adopted for solving the technical problem is as follows:
the design method of the diamond roller and the worm grinding wheel comprises the following steps:
step one, obtaining a tooth surface equation of the worm grinding wheel through a tooth surface equation of a gear shaper cutter;
step two, obtaining the section tooth profile of the worm grinding wheel shaft according to the tooth surface equation of the worm grinding wheel in the step one, and taking the section tooth profile of the worm grinding wheel shaft as the tooth profile of the diamond roller;
step three, establishing a coordinate system of the diamond roller enveloping worm grinding wheel to obtain the worm grinding wheel enveloped by the diamond roller, wherein the tooth profile envelopes of the diamond roller and the worm grinding wheel meet the requirement
Figure BDA0002531244090000031
Wherein,
Figure BDA0002531244090000032
representing the slave diamond roller fixed connection coordinate system SgTo worm grinding wheel fixed connection coordinate system SwA homogeneous coordinate transformation matrix;
Figure BDA0002531244090000033
coordinate system S for representing tooth surface of diamond roller in fixed connection of worm grinding wheelwThe family of surfaces formed in (a);
rg(us，θs) Expressing a diamond roller tooth surface equation;
Figure BDA0002531244090000034
showing the diamond roller and the worm grinding wheel at SpMeshing equation under a coordinate system;
npindicating that the diamond roller is at SpA unit normal vector under a coordinate system;
vp wgshowing the diamond roller and the worm grinding wheel at SpRelative velocity in a coordinate system.
According to the design method of the diamond roller and the worm grinding wheel, the tooth surface equation of the worm grinding wheel obtained in the step one meets the requirement of the tooth surface equation of the worm grinding wheel
Figure BDA0002531244090000041
Wherein,
Figure BDA0002531244090000042
representing the slave pinion cutter fastening coordinates SSTo worm grinding wheel fixed connection coordinate system SWA homogeneous coordinate transformation matrix;
Figure BDA0002531244090000043
coordinate system S for representing tooth surface of gear shaper cutter in fixed connection of worm grinding wheelwThe family of surfaces formed in (a);
rs(us，uz) Expressing a gear surface equation of the gear shaper cutter;
Figure BDA0002531244090000044
indicating that the pinion cutter and the worm grinding wheel are at SsMeshing equation under a coordinate system;
ns(us) Indicates that the pinion cutter is at SsA unit normal vector under a coordinate system;
Figure BDA0002531244090000045
indicating that the pinion cutter and the worm grinding wheel are at SsRelative velocity in a coordinate system.
In the method for designing the diamond roller and the worm grinding wheel, the cross-sectional tooth profile of the worm grinding wheel shaft in the second step is obtained by adding zwowywPlane around zwThe shaft rotating at a certain angle
Figure BDA0002531244090000046
*<360) Method for calculating intersection line of rotated plane and tooth surface of worm grinding wheelTo find out that it satisfies
Figure BDA0002531244090000051
Figure BDA0002531244090000052
Wherein p isiThe axial section tooth profile points of the grinding worm are shown.
The method for designing the diamond roller and the grinding worm wheel as described above, the corner of the grinding worm wheel
Figure BDA0002531244090000053
Swing angle with diamond roller
Figure BDA0002531244090000054
Satisfy the relationship
Figure BDA0002531244090000055
Wherein N issAnd NwRespectively corresponding to the number of teeth of the gear shaping cutter and the number of heads of the worm grinding wheel.
Compared with the prior art, the worm grinding wheel is processed to this application adoption new profile of tooth formula buddha's warrior attendant gyro wheel flank profile has following advantage:
1. the machining efficiency is high, and compared with a method for machining the worm grinding wheel by using the conical-surface diamond roller, the tool path needing to be planned for machining the worm grinding wheel by using the tooth-shaped diamond roller is greatly reduced.
2. The problem that the tool path cannot be planned due to the singularity of the tooth surface of the worm grinding wheel does not exist.
3. Greatly reducing the requirements on the stroke and the control precision of the machine tool shaft.
4. Through reasonable design of the tooth profile of the tooth-shaped diamond roller for processing the worm grinding wheel, the tooth surface precision of the processed worm grinding wheel is higher, and the face gear ground by the worm grinding wheel is ensured to have higher precision.
[ description of the drawings ]
In order to more clearly illustrate the technical solutions in the embodiments of the present application, the drawings needed to be used in the description of the embodiments are briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present application, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without creative efforts.
FIG. 1 is a schematic diagram of a pinion cutter enveloping worm grinding wheel coordinate system;
FIG. 2 is a schematic diagram of a toothed diamond roller machining worm grinding wheel coordinate system;
FIG. 3 is a schematic diagram of a solution and comparison of the tooth profile of the cross section of a worm grinding wheel shaft;
FIG. 4 is a graph comparing the deviation between the tooth surface of the grinding worm machined by the method of the present application and the tooth surface of the grinding worm machined by the existing toothed diamond roller in example 1;
FIG. 5 is a graph showing the deviation comparison between the tooth surface of the worm grinding wheel machined by the method of the present application and the tooth surface of the worm grinding wheel machined by the existing toothed diamond roller in example 2;
fig. 6 is a measurement of a face gear obtained by grinding the face gear with a worm wheel according to the present application.
[ detailed description ] embodiments
The present application will be further described with reference to the following drawings and specific embodiments.
A design method of a tooth-shaped diamond roller and a worm grinding wheel comprises the following steps:
step one, obtaining a worm grinding wheel tooth surface equation through a gear shaping cutter tooth surface equation
Referring to fig. 1, a coordinate system of the pinion cutter enveloping the worm grinding wheel is established as a pinion tooth surface r as a pinion tooth surface of the pinion cutter by a pairwise meshing relationship between the pinion cutter, the worm grinding wheel and the face gears(us,uz) Enveloping surface, worm grinding wheel tooth surface
Figure BDA0002531244090000061
Can be obtained by coordinate transformation and meshing principle, as shown in formula (1),
Figure BDA0002531244090000071
wherein,
Figure BDA0002531244090000072
representing the slave pinion cutter fastening coordinates SSTo worm grinding wheel fixed connection coordinate system SWOf the homogeneous coordinate transformation matrix, SWThe coordinate system is fixedly connected with the worm grinding wheel, the coordinate axes are shown in figure 1, and two coordinate axes y are drawnwAnd Zw,Then, the remaining coordinate axis is determined according to the right-hand rule, and S can be determinedWA coordinate system.
Figure BDA0002531244090000073
Coordinate system S for representing tooth surface of gear shaper cutter in fixed connection of worm grinding wheelwThe family of surfaces formed in (a);
rs(us，uz) Expressing a gear surface equation of the gear shaper cutter;
Figure BDA0002531244090000074
showing the pinion cutter and the worm grinding wheel at S shown in FIG. 1sEquation of engagement in a coordinate system, SsThe coordinate system represents a coordinate system fixedly connected with the slotting cutter, the coordinate axes are shown as figure 1, and two coordinate axes y are drawnsAnd Zs,Then, the remaining coordinate axis is determined according to the right-hand rule, and S can be determinedsA coordinate system;
ns(us) Showing the pinion cutter at S shown in FIG. 1sA unit normal vector under a coordinate system;
Figure BDA0002531244090000075
showing the pinion cutter and the worm grinding wheel at S shown in FIG. 1sRelative velocity in a coordinate system.
By solving for
Figure BDA0002531244090000076
Can be combined with uzIs denoted by usAnd
Figure BDA0002531244090000077
is brought into
Figure BDA0002531244090000078
In, eliminate uzThereby obtaining the tooth surface equation of the worm grinding wheel enveloped by the gear shaper cutter
Figure BDA0002531244090000079
Step two, obtaining the section tooth profile of the worm grinding wheel shaft according to the tooth surface equation of the worm grinding wheel in the step one, and taking the section tooth profile of the worm grinding wheel shaft as the tooth profile of the diamond roller;
the axial section of the grinding worm means the section through the axis of the grinding worm, see z in FIG. 3wowywThe plane, the intersection of which with the flank of the grinding worm, is called the axial section profile of the grinding worm, the different axial section profile being obtained by dividing zwowywPlane around zwThe shaft rotating at a certain angle
Figure BDA0002531244090000081
The intersection line of the rotated plane and the tooth surface of the worm grinding wheel is obtained by a method which meets the requirement
Figure BDA0002531244090000082
Figure BDA0002531244090000083
Analysis of geometrical characteristics
Will correspond to
Figure BDA0002531244090000084
Is called a reference profile c1Will correspond toIn that
Figure BDA0002531244090000085
Axial sectional tooth profile c2For with c1And performing comparative analysis to prove that the tooth profiles of all the axial sections of the worm grinding wheel are consistent, and the tooth surface of the worm grinding wheel can be simplified into a tooth surface obtained by sweeping according to the tooth profile of the axial section.
Firstly, c is firstly1、c2The starting points of the two tooth profiles are coincident with each other, and then a certain tooth profile is rotated to another tooth profile by a proper angle theta, for example, as shown in table 1, see fig. 3(b) (c) (d),
Figure BDA0002531244090000086
Figure BDA0002531244090000091
TABLE 1 two sets of grinding worm wheel design parameters
Calculating the section tooth profiles of the worm grinding wheel shaft with two different parameters shown in the table 1, corresponding to the section tooth profiles
Figure BDA0002531244090000092
Reference tooth profile c1According to the above method is used to
Figure BDA0002531244090000093
Tooth profiles equal to 10 °, 20 °,40 °,80 °,160 °,240 °,320 ° were compared. The comparison result shows that any c2And c1Are smaller than 100nm, for which deviations of this order of magnitude are completely negligible in the current industrial application field of the present study. The method can also obtain the basically same conclusion by changing the parameters of the worm grinding wheel and continuing to perform a plurality of groups of experiments, the tooth profiles of all the axial sections of the worm grinding wheel are consistent, the tooth surface of the worm grinding wheel can be simplified into a swept surface swept according to the tooth profile of the axial section of the worm grinding wheel, and further, the diamond with the same profile as that of the axial section of the worm grinding wheel is consideredAnd (4) processing the worm grinding wheel by using the roller.
Step three, establishing a coordinate system of the worm grinding wheel enveloped by the diamond roller to obtain the worm grinding wheel enveloped by the diamond roller
Referring to fig. 2, based on the above geometric characteristic analysis, the process of processing the worm grinding wheel by the tooth-shaped diamond roller is shown in the figure, and the tooth profile of the tooth-shaped diamond roller is the axial section tooth profile of the worm grinding wheel to be processed. When the grinding worm is about its axis zwWhen rotating, the diamond roller rotates around zdThe shaft oscillates. Corner of worm grinding wheel
Figure BDA0002531244090000094
Swing angle with diamond roller
Figure BDA0002531244090000095
Satisfy the relationship
Figure BDA0002531244090000096
Wherein N issAnd NwThe number of teeth of the gear shaping cutter and the number of heads of the worm grinding wheel in the table 1 are respectively corresponded. According to the process, the worm grinding wheel tooth surface is used as a diamond roller tooth surface rg(us，θs) Is enveloped in SwIn the formula (2),
Figure BDA0002531244090000101
wherein,
Figure BDA0002531244090000102
representing the slave diamond roller fixed connection coordinate system SgTo worm grinding wheel fixed connection coordinate system SwOf the transformation matrix SgThe coordinate system is fixedly connected with the diamond roller, the coordinate axes are shown in figure 2, and two coordinate axes z are drawngAnd xg,Then, the remaining coordinate axis is determined according to the right-hand rule, and S can be determinedgA coordinate system.
Figure BDA0002531244090000103
Coordinate system S for representing tooth surface of diamond roller in fixed connection of worm grinding wheelwThe family of surfaces formed in (a);
rg(us，θs) Expressing a diamond roller tooth surface equation;
Figure BDA0002531244090000104
showing the diamond roller and the worm grinding wheel at S in FIG. 2pEquation of engagement in a coordinate system, SpThe coordinate system represents an auxiliary coordinate system which facilitates the calculation, the coordinate axes are shown in FIG. 2, and two coordinate axes y are drawnpAnd ZpThen determining the remaining coordinate axis according to the right-hand rule to determine SpA coordinate system;
npshowing the diamond roller at S in FIG. 2pA unit normal vector under a coordinate system;
vp wgshowing the diamond roller and the worm grinding wheel at S in FIG. 2pRelative velocity in a coordinate system.
By solving for
Figure BDA0002531244090000105
May be calculated fromsIs denoted by usAnd
Figure BDA0002531244090000106
is brought into
Figure BDA0002531244090000107
In (1), erasing thetasThereby obtaining the tooth surface equation of the worm grinding wheel enveloped by the diamond roller
Figure BDA0002531244090000108
Step four, verifying feasibility of the method through theoretical calculation and experiments
According to the two sets of worm grinding wheel parameters shown in table 1, the tooth surface of the worm grinding wheel obtained by the enveloping calculation of the tooth profile of the diamond roller defined by the existing tooth form diamond roller machining method and the method of the present application is compared with the theoretical tooth surface of the worm grinding wheel (the tooth surface of the worm grinding wheel obtained by enveloping the slotting cutter, as shown in formula (1)), and the comparison result refers to fig. 4 and fig. 5, so that the precision of the worm grinding wheel calculated by the tooth profile of the diamond roller defined by the method of the present application is greatly improved compared with the precision of the existing method.
The diamond roller with the tooth profile defined by the method is used for machining the worm grinding wheel, the tooth surface error of the worm grinding wheel can be obviously reduced, the tooth surface precision of the machined worm grinding wheel is higher, then the machined worm grinding wheel is used for grinding a face gear, the measurement result is shown in figure 6, and the machined face gear has high precision.
When the diamond roller wheel of the application processes the worm sand, the worm grinding wheel winds the axis z of the worm grinding wheelwWhen rotating, the diamond roller rotates around zdRotation angle of worm grinding wheel with swinging shaft
Figure BDA0002531244090000111
Swing angle with diamond roller
Figure BDA0002531244090000112
Satisfy the relationship
Figure BDA0002531244090000113
Wherein N issAnd NwRespectively corresponding to the number of teeth of the gear shaping cutter and the number of heads of the worm grinding wheel. According to the process, the worm grinding wheel tooth surface is used as a diamond roller tooth surface rg(us，θs) Is enveloped in SwIn the formula (3),
Figure BDA0002531244090000114
wherein,
Figure BDA0002531244090000115
representing the slave diamond roller fixed connection coordinate system SgTo worm grinding wheel fixed connection coordinate system SwThe transformation matrix of (a) is,
Figure BDA0002531244090000116
the formula represents the rotation angle of the worm grinding wheel
Figure BDA0002531244090000117
Swing angle with diamond roller
Figure BDA0002531244090000118
The relationship satisfied. M in the meshing equation (3)wgShould be expressed as
Figure BDA0002531244090000121
According to the formula, one unknown number is represented by another unknown number, one unknown number is eliminated, and the unknown number is represented as
Figure BDA0002531244090000122
Any curved surface can be represented by two parameters, and the tooth surface of the worm grinding wheel enveloped by the diamond roller is represented by two parameters
Figure BDA0002531244090000123
Shows that there are three parameters
Figure BDA0002531244090000124
By the formula (3), thetasIs shown as
Figure BDA0002531244090000125
Thereby eliminating the parameter, by
Figure BDA0002531244090000126
The flank of the grinding worm is shown, which is the meaning of equation (3) (meshing equation).
In summary, the method for processing the worm grinding wheel by the tooth-shaped diamond roller has the following advantages:
1. the method for machining the worm grinding wheel by the aid of the novel tooth-shaped diamond roller tooth profile is high in machining efficiency, and compared with a method for machining the worm grinding wheel by the aid of the conical-surface diamond roller, the tool paths needing to be planned for machining the worm grinding wheel by the tooth-shaped diamond roller are greatly reduced.
2. The application adopts new profile of tooth formula buddha's warrior attendant gyro wheel flank profile to process worm grinding wheel, does not have because worm grinding wheel flank of tooth singularity and leads to the problem that can't plan the cutter route.
3. This application adopts new profile of tooth formula buddha's warrior attendant gyro wheel flank profile to process worm grinding wheel, greatly reduced to the requirement of lathe axle stroke and control accuracy.
4. This application adopts new profile of tooth formula buddha's warrior attendant gyro wheel flank profile to process the worm grinding wheel, carries out rational design through the profile of tooth formula buddha's warrior attendant gyro wheel flank profile to processing worm grinding wheel for the worm grinding wheel flank of tooth precision that processed is higher, thereby has guaranteed that the face gear that worm grinding wheel ground out has higher precision.
The above description is only for the purpose of illustrating the preferred embodiments of the present application and is not intended to limit the scope of the present application, which is within the scope of the present application, except that the same or similar principles and basic structures as the present application may be used.

Claims (4)

1. The design method of the diamond roller and the worm grinding wheel is characterized by comprising the following steps:
step one, obtaining a tooth surface equation of the worm grinding wheel through a tooth surface equation of a gear shaper cutter;
step two, obtaining the section tooth profile of the worm grinding wheel shaft according to the tooth surface equation of the worm grinding wheel in the step one, and taking the section tooth profile of the worm grinding wheel shaft as the tooth profile of the diamond roller;
step three, establishing a coordinate system of the diamond roller enveloping worm grinding wheel to obtain the worm grinding wheel enveloped by the diamond roller, wherein the tooth profile envelopes of the diamond roller and the worm grinding wheel meet the requirement
Figure FDA0002531244080000011
Wherein M iswg(φg) Representing the slave diamond roller fixed connection coordinate system SgTo worm grinding wheel fixed connection coordinate system SwA homogeneous coordinate transformation matrix;
rwg(us，φg，θs) Coordinate system S for representing tooth surface of diamond roller in fixed connection of worm grinding wheelwThe family of surfaces formed in (a);
rg(us，θs) Expressing a diamond roller tooth surface equation;
fwg(us，φg，θs) Showing the diamond roller and the worm grinding wheel at SpMeshing equation under a coordinate system;
npindicating that the diamond roller is at SpA unit normal vector under a coordinate system;
vp wgshowing the diamond roller and the worm grinding wheel at SpRelative velocity in a coordinate system.
2. The method of claim 1, wherein the method comprises the steps of: the equation of the tooth surface of the worm grinding wheel obtained in the step one meets the requirement
Figure FDA0002531244080000012
Wherein M isWS(φs) Representing the slave pinion cutter fastening coordinates SSTo worm grinding wheel fixed connection coordinate system SWA homogeneous coordinate transformation matrix;
rws(us，uz，φs) Coordinate system S for representing tooth surface of gear shaper cutter in fixed connection of worm grinding wheelwThe family of surfaces formed in (a);
rs(us，uz) Expressing a gear surface equation of the gear shaper cutter;
fws(us，uz，φs) Indicating that the pinion cutter and the worm grinding wheel are at SsMeshing equation under a coordinate system;
ns(us) Indicates that the pinion cutter is at SsA unit normal vector under a coordinate system;
vs (sw)(us，uz，φs) Indicating that the pinion cutter and the worm grinding wheel are at SsRelative velocity in a coordinate system.
3. The method of claim 1, wherein the method comprises the steps of: step two, the profile of the section of the worm grinding wheel shaft is obtained by dividing the profile of the section zwowywPlane around zwThe shaft rotating by a certain angle phi*(0<φ*<360) The intersection line of the rotated plane and the tooth surface of the worm grinding wheel is obtained by a method which satisfies
Figure FDA0002531244080000021
Figure FDA0002531244080000022
Wherein p isiThe axial section tooth profile points of the grinding worm are shown.
4. The method of claim 1, wherein the method comprises the steps of: the rotation angle phi of the worm grinding wheelwSwing angle phi with diamond rollergSatisfies the relation phiw/φg＝Ns/NwWherein N issAnd NwRespectively corresponding to the number of teeth of the gear shaping cutter and the number of heads of the worm grinding wheel.
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CN112643143A (en) * 2020-11-13 2021-04-13 重庆大学 Profile design method for drum-shaped worm grinding wheel of grinding face gear
CN113400197A (en) * 2021-06-23 2021-09-17 重庆大学 Forming and trimming method for drum-shaped worm grinding wheel for grinding face gear
CN114690709A (en) * 2022-04-01 2022-07-01 重庆大学 Face gear grinding tooth face error model creation method considering whole-process machine tool geometric error influence and grinding tooth precision evaluation method

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CN106141326A (en) * 2016-08-05 2016-11-23 西北工业大学 A kind of method for trimming of gear grinding worm abrasion wheel
CN107609231A (en) * 2017-08-24 2018-01-19 中南大学 A kind of worm screw grinding worm surface microscopic topographic emulation mode and system

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CN112643143A (en) * 2020-11-13 2021-04-13 重庆大学 Profile design method for drum-shaped worm grinding wheel of grinding face gear
CN112643143B (en) * 2020-11-13 2022-05-06 重庆大学 Profile design method for drum-shaped worm grinding wheel of grinding face gear
CN113400197A (en) * 2021-06-23 2021-09-17 重庆大学 Forming and trimming method for drum-shaped worm grinding wheel for grinding face gear
CN114690709A (en) * 2022-04-01 2022-07-01 重庆大学 Face gear grinding tooth face error model creation method considering whole-process machine tool geometric error influence and grinding tooth precision evaluation method

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