CN109376448A - A kind of worm gear hobbing processing flank of tooth three-dimensional modeling method, device and equipment - Google Patents
A kind of worm gear hobbing processing flank of tooth three-dimensional modeling method, device and equipment Download PDFInfo
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- CN109376448A CN109376448A CN201811327357.5A CN201811327357A CN109376448A CN 109376448 A CN109376448 A CN 109376448A CN 201811327357 A CN201811327357 A CN 201811327357A CN 109376448 A CN109376448 A CN 109376448A
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- 238000005096 rolling process Methods 0.000 claims description 5
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Abstract
The present invention provides a kind of worm gear hobbings to process flank of tooth three-dimensional modeling method, it include: that worm gear base threedimensional model is established by the relative position of the working motion of modeling software simulation worm gear hobbing and hobboing cutter and worm gear base according to worm gear parameter and worm gear hobbing working process parameter；The locus of tool edge curved surface threedimensional model of Archimedes's worm gear hob tooth is established, and worm gear base threedimensional model and locus of tool edge curved surface three-dimension modeling wrom tooth is combined to process threedimensional model；Threedimensional model is processed according to wrom tooth, simulates multiple tooth hobboing cutter gear hobbing process movement, with asking difference order to carry out Boolean calculation to worm gear base threedimensional model using hob teeth locus of tool edge curved surface threedimensional model, obtains monodentate worm gear threedimensional model；Monodentate worm gear threedimensional model is rotated z times, worm gear threedimensional model is obtained.Based on the present invention, the relationship of worm gear hobbing processing involute profile surface topography and worm gear base and worm gear hob and surface roughness is intuitively reflected, the problems such as effective solution modeling is difficult, low efficiency.
Description
Technical field
The present invention relates to worm gears to model field, in particular to a kind of worm gear hobbing processes flank of tooth three-dimensional modeling method, device
And equipment.
Background technique
With the development of numerical control processing gear technique, reality is also gradually obtained now for the Gear Processing with complex teeth surfaces
It is existing, but Numeric Control Technology processes gear, first has to the high-precision coordinate parameter that input meets numerical control processing requirement.At present for some
Gear with complex teeth surfaces, will obtain the coordinate parameters of the flank of tooth, and main means are that complicated conjugation side is carried out by computer
What journey solution or discrete method asked the friendship cumbersome operation that curved surface makes up again to obtain, the consuming time is too long, and obtained flank of tooth essence
It spends lower, the meshing quality between complicated conjugate tooth profiles cannot be reacted well.Therefore, the height of numerical control processing requirement is met for acquisition
Accuracy coordinate parameter and the three-dimensional entity model for establishing gear become increasingly it is necessary to.For comparatively fast obtain high class gear three
Entity is tieed up, efficiently correctly gear modeling method is basis.
By experimental method, worm gear surface surface roughness can be measured using surface roughometer, but experimental cost is high,
And it is difficult to the direct relation reflected between the major influence factors such as surface roughness and machined parameters, hobboing cutter parameter, worm gear parameter,
Flank of tooth 3D shape can not be obtained.
By three-dimensional coordinates measurement method, worm gear surface three-dimensional coordinate can be measured, construct flank of tooth threedimensional model, but test at
This height, low efficiency, it is difficult to reflect between the major influence factors such as surface roughness and machined parameters, hobboing cutter parameter, worm gear parameter
Direct relation.
Summary of the invention
Difficult in order to solve modeling, experimental cost is high, low efficiency, and difficult and reflection machined parameters, worm gear hob parameter, snail
Take turns the direct relation between the major influence factors such as parameter；The present invention discloses a kind of worm gear hobbing processing flank of tooth three-dimensional modeling side
The problems such as method, device and equipment, effective solution modeling is difficult, low efficiency, and can intuitively reflect worm gear base and worm gear
The relationship of hobboing cutter and surface roughness.
The embodiment of the invention provides a kind of worm gear hobbings to process flank of tooth three-dimensional modeling method, comprising:
According to worm gear parameter and worm gear hobbing working process parameter, the working motion of turbine gear hobbing is simulated by modeling software
Worm gear base threedimensional model is established with the relative position of hobboing cutter and worm gear base；
The locus of tool edge curved surface threedimensional model of Archimedes's worm gear hob tooth is established by modeling software, and in conjunction with the snail
Wheel blank threedimensional model and the locus of tool edge curved surface three-dimension modeling wrom tooth process threedimensional model；
Threedimensional model is processed according to the wrom tooth, the movement of multiple tooth hobboing cutter gear hobbing process is simulated on modeling software, using asking
Difference order carries out Boolean calculation to the worm gear base threedimensional model using the hob teeth locus of tool edge curved surface threedimensional model, obtains
Monodentate worm gear threedimensional model；
Monodentate worm gear threedimensional model is rotated z times, each angle of rotation is 360/z (°), obtains worm gear threedimensional model.
Preferably, described that threedimensional model is processed according to the wrom tooth, multiple tooth hobboing cutter gear hobbing process is simulated on modeling software
Movement carries out Boolean calculation to worm gear base threedimensional model using hob teeth locus of tool edge curved surface threedimensional model using asking difference to order,
Monodentate worm gear threedimensional model is obtained, specifically:
By modeling software, three-dimensional system of coordinate is established in the worm gear base, of the hob teeth on the worm gear hob
Number is Z3, and hob teeth locus of tool edge curved surface positive direction of X-axis along the worm gear base moves Z3/2 times, while the worm gear
Embryo is rotated along positive direction, by asking poor order in the modeling software, first monodentate worm gear model is obtained, by described first
A monodentate worm gear model and the worm gear hob return to initial position；
Hob teeth locus of tool edge curved surface negative direction of X-axis along the worm gear base moves Z3/2 times, while the snail
Wheel blank is rotated along negative direction, by asking poor order in the modeling software, obtains second monodentate worm gear model, by described the
Two monodentate worm gear models and the worm gear hob return to initial position, obtain monodentate worm gear three-dimensional modeling.
Preferably, further includes:
The practical tooth line of the monodentate worm gear three-dimensional modeling is obtained by the modeling software, draws y=0 ideal flank profil
Line is measured between the ideal flank profil line and the practical tooth line most using the dimensional measurement order on the modeling software
Big distance obtains the roughness on the worm gear hobbing surface.
Preferably, described to rotate monodentate worm gear threedimensional model Z times, each rotational angle is 360/z (°), obtains worm gear
Threedimensional model, specifically:
By the Boolean calculation on the modeling software and order is converted by monodentate worm gear rotation Z times, obtains worm gear
Threedimensional model；Wherein, Z is the number of teeth of the monodentate worm gear mould processing.
Preferably, the worm gear base rotates clockwise as positive direction, and the worm gear base along rotating to be negative direction counterclockwise.
Preferably, the modeling software is UG.
Preferably, the cutter tooth of the worm gear knife leans against on the worm gear embryo, is directed radially towards the center of circle of the worm gear embryo.
Second embodiment of the invention provides a kind of worm gear hobbing processing flank of tooth three-dimensional modeling apparatus, comprising:
Worm gear base three-dimensional modeling unit passes through modeling software mould according to worm gear parameter and worm gear hobbing working process parameter
Worm gear base threedimensional model is established in the relative position of the working motion of quasi- turbine gear hobbing and hobboing cutter and worm gear base；
Wrom tooth processes three-dimensional modeling unit, and the locus of tool edge curved surface of Archimedes's worm gear hob tooth is established by modeling software
Threedimensional model, and it is three-dimensional in conjunction with the worm gear base threedimensional model and locus of tool edge curved surface three-dimension modeling wrom tooth processing
Model；
Monodentate worm gear three-dimensional modeling unit processes threedimensional model according to the wrom tooth, multiple tooth rolling is simulated on modeling software
The movement of knife gear hobbing process carries out worm gear base threedimensional model using hob teeth locus of tool edge curved surface threedimensional model using asking difference to order
Boolean calculation obtains monodentate worm gear threedimensional model；
Worm gear three-dimensional modeling unit rotates monodentate worm gear threedimensional model z times, and each angle of rotation is 360/z, obtains worm gear
Threedimensional model.
Preferably, the monodentate worm gear three-dimensional modeling unit further includes obtaining to seek poor unit, is used for the worm gear mold
Type subtracts the worm gear hob model.
Third embodiment of the invention provides a kind of worm gear hobbing processing flank of tooth three-dimensional modeling equipment, including processor, storage
Device and storage in the memory and are configured the computer program executed by the processing, described in the processor executes
Realize that worm gear hobbing described in any one as described above processes the flank of tooth three-dimensional modeling method when computer program.
Based on the invention discloses a kind of worm gear hobbing processing flank of tooth three-dimensional modeling method, device and equipment, pass through three-dimensional
Modeling software UG establishes the locus of tool edge curved surface threedimensional model of worm gear base and worm gear hob tooth, intuitively reflects wheel gear hobbing process
Involute profile surface topography, and can intuitively reflect the relationship of worm gear base and worm gear hob and surface roughness, effectively
Solves the problems such as difficult modeling, low efficiency.
Detailed description of the invention
Fig. 1 is a kind of flow diagram of worm gear hobbing processing flank of tooth three-dimensional modeling method provided in an embodiment of the present invention.
Fig. 2 is the spiral case making threedimensional model schematic diagram of the embodiment of the present invention；
Fig. 3 is the spiral case making threedimensional model main view of the embodiment of the present invention；
Fig. 4 is the spiral case making threedimensional model top view of the embodiment of the present invention；
Fig. 5 is the spiral case making threedimensional model left view of the embodiment of the present invention；
Fig. 6 is the monodentate worm gear threedimensional model schematic diagram of the embodiment of the present invention；
Fig. 7 is the monodentate worm gear flank profil schematic diagram of the embodiment of the present invention；
Fig. 8 is the worm gear threedimensional model schematic diagram of the embodiment of the present invention；
Fig. 9 is the monodentate worm gear threedimensional model main view of the embodiment of the present invention；
Figure 10 is the monodentate worm-gear toothing profile schematic diagram of the embodiment of the present invention.
Specific embodiment
To keep the purposes, technical schemes and advantages of embodiment of the present invention clearer, implement below in conjunction with the present invention
The technical solution in embodiment of the present invention is clearly and completely described in attached drawing in mode, it is clear that described reality
The mode of applying is some embodiments of the invention, rather than whole embodiments.Based on the embodiment in the present invention, ability
Domain those of ordinary skill every other embodiment obtained without creative efforts, belongs to the present invention
The range of protection.Therefore, the detailed description of the embodiments of the present invention provided in the accompanying drawings is not intended to limit below and is wanted
The scope of the present invention of protection is sought, but is merely representative of selected embodiment of the invention.Based on the embodiment in the present invention,
Every other embodiment obtained by those of ordinary skill in the art without making creative efforts belongs to this
Invent the range of protection.
Fig. 1 and Fig. 2 is please referred to, first embodiment of the invention provides a kind of worm gear hobbing processing flank of tooth three-dimensional modeling side
Method, comprising:
S101 simulates adding for worm gear hobbing by modeling software according to worm gear parameter and worm gear hobbing working process parameter
Labour movement is moved and worm gear base A threedimensional model is established in the relative position of hobboing cutter and worm gear base, and the modeling software used here is UG；
S102, the locus of tool edge curved surface threedimensional model B of Archimedes's worm gear hob tooth is established by modeling software, and is combined
The worm gear base threedimensional model and the locus of tool edge curved surface three-dimension modeling wrom tooth process threedimensional model；
Fig. 3 to Fig. 5 is please referred to, Fig. 3 is the main view that the wrom tooth processes threedimensional model, wherein xc, yc, zc are coordinate
Axis, fx indicate the circle-feeding amount of the worm gear hob B, are positive toward the movement of X-axis positive direction, are negative toward the movement of X-axis negative direction, f
ω indicates that the worm gear base circumferentially rotates the amount of feeding, and the worm gear embryo, which rotates clockwise, to be positive, and rotation is negative counterclockwise, and Fz is diameter
To the amount of feeding, Pa indicates that worm gear circular pitch, da2 indicate wormwheel addendum diameter；Fig. 4 is the vertical view that the wrom tooth processes threedimensional model
Figure, H indicate that the thickness of the worm gear base, β 2 indicate worm wheel helical angle, is positive clockwise, is right-hand screw.Fig. 5 indicates wrom tooth processing
The left view of threedimensional model, n indicate that the revolving speed of worm gear hob, de indicate the outer diameter of worm gear hob.
S103 processes threedimensional model according to the wrom tooth, and multiple tooth hobboing cutter gear hobbing process movement is simulated on modeling software, is adopted
Boolean's fortune is carried out to the worm gear base A threedimensional model using the hob teeth locus of tool edge curved surface threedimensional model B with asking difference to order
It calculates, obtains monodentate worm gear threedimensional model；
Preferably, the S103, specifically:
By modeling software, three-dimensional system of coordinate is established in the worm gear base A, the hob teeth on the worm gear hob B
Number is Z3, and hob teeth locus of tool edge curved surface positive direction of X-axis along the worm gear base A moves Z3/2 times, while described
Worm gear base A is rotated along positive direction, by asking poor order in the modeling software, first monodentate worm gear model is obtained, by institute
It states first monodentate worm gear model and the worm gear hob B returns to initial position；
Hob teeth locus of tool edge curved surface negative direction of X-axis along the worm gear base moves Z3/2 times, while the snail
Wheel blank A is rotated along negative direction, by asking poor order in the modeling software, obtains second monodentate worm gear model, will be described
Second monodentate worm gear model and the worm gear hob B return to initial position, obtain monodentate worm gear three-dimensional modeling.
Fig. 6 and Fig. 7 is please referred to, Fig. 6 is monodentate worm gear three-dimensional modeling, and x, y, z is rectangular coordinate system in space, intercepts M in figure
Place, and the monodentate worm gear three-dimensional modeling amplifies, and obtains Fig. 7,1 indicates flank area, and 2 indicate tooth root area, and 3 indicate bottom of the tooth area, should
3rd area constitute whole flank profils an of backlash.4 indicate knife mark.
S104 rotates monodentate worm gear threedimensional model z times, and each angle of rotation is 360/z (°), obtains worm gear threedimensional model.
Preferably, the S104, specifically:
By the Boolean calculation on the modeling software and order is converted by monodentate worm gear rotation Z times, obtains worm gear
Threedimensional model；Wherein, Z is the number of teeth of the monodentate worm gear mould processing.
Referring to Fig. 8, Fig. 8 is worm gear threedimensional model, on the basis of the monodentate worm gear turns, used on modeling software
Boolean calculation and transformation order rotate the monodentate worm gear Z times, obtain worm gear threedimensional model.
Preferably, further includes:
The practical tooth line of the monodentate worm gear three-dimensional modeling is obtained by the modeling software, draws y=0 ideal flank profil
Line is measured between the ideal flank profil line and the practical tooth line most using the dimensional measurement order on the modeling software
Big distance obtains the roughness on the worm gear hobbing surface.
Referring to Fig. 9, Fig. 9 is the main view of the monodentate worm gear three-dimensional modeling, xc, yc, zc are reference axis, and M is through institute
It states worm gear knife to move along X-axis positive direction, after the worm gear base rotates clockwise, then the worm gear knife is moved along X-axis negative direction, institute
The whole flank profils for stating the backlash obtained after worm gear base rotates counterclockwise, referring to Fig. 10, Figure 10 is put on the basis of Fig. 9
Greatly, straight line C is y=0 plane coideal flank profil line, and straight line D is the practical tooth line in y=0 plane, by modeling software
Dimensional measurement order measures the maximum distance in the straight line C and the straight line D, the as roughness of worm gear hobbing.
Preferably, the worm gear base rotates clockwise as positive direction, and the worm gear base along rotating to be negative direction counterclockwise.
Preferably, the cutter tooth of the worm gear knife leans against on the worm gear embryo, is directed radially towards the center of circle of the worm gear embryo.
Second embodiment of the invention provides a kind of worm gear hobbing processing flank of tooth three-dimensional modeling apparatus, comprising:
Worm gear base three-dimensional modeling unit passes through modeling software mould according to worm gear parameter and worm gear hobbing working process parameter
Worm gear base threedimensional model is established in the relative position of the working motion of quasi- turbine gear hobbing and hobboing cutter and worm gear base；
Wrom tooth processes three-dimensional modeling unit, and the locus of tool edge curved surface of Archimedes's worm gear hob tooth is established by modeling software
Threedimensional model, and it is three-dimensional in conjunction with the worm gear base threedimensional model and locus of tool edge curved surface three-dimension modeling wrom tooth processing
Model；
Monodentate worm gear three-dimensional modeling unit processes threedimensional model according to the wrom tooth, multiple tooth rolling is simulated on modeling software
The movement of knife gear hobbing process carries out worm gear base threedimensional model using hob teeth locus of tool edge curved surface threedimensional model using asking difference to order
Boolean calculation obtains monodentate worm gear threedimensional model；
Worm gear three-dimensional modeling unit rotates monodentate worm gear threedimensional model z times, and each angle of rotation is 360/z, obtains worm gear
Threedimensional model.
Preferably, the monodentate worm gear three-dimensional modeling unit further includes obtaining to seek poor unit, is used for the worm gear mold
Type subtracts the worm gear hob model.
Third embodiment of the invention provides a kind of worm gear hobbing processing flank of tooth three-dimensional modeling equipment, including processor, storage
Device and storage in the memory and are configured the computer program executed by the processing, described in the processor executes
Realize that worm gear hobbing described in any one as described above processes the flank of tooth three-dimensional modeling method when computer program.
Based on the invention discloses a kind of worm gear hobbing processing flank of tooth three-dimensional modeling method, device and equipment, pass through three-dimensional
Modeling software UG establishes the locus of tool edge curved surface threedimensional model of worm gear embryo and worm gear hob tooth, intuitively reflects wheel gear hobbing process
Involute profile surface topography, and can intuitively reflect the relationship of worm gear embryo and worm gear hob and surface roughness, effectively
Solves the problems such as difficult modeling, low efficiency.
The above is only the preferred embodiment of the present invention, protection scope of the present invention is not limited merely to above-described embodiment,
All technical solutions belonged under thinking of the present invention all belong to the scope of protection of the present invention.
Claims (10)
1. a kind of worm gear hobbing processes flank of tooth three-dimensional modeling method characterized by comprising
According to worm gear parameter and worm gear hobbing working process parameter, the working motion and rolling of worm gear hobbing are simulated by modeling software
Worm gear base threedimensional model is established in the relative position of knife and worm gear base；
The locus of tool edge curved surface threedimensional model of Archimedes's worm gear hob tooth is established by modeling software, and in conjunction with the worm gear base
Threedimensional model and the locus of tool edge curved surface three-dimension modeling wrom tooth process threedimensional model；
Threedimensional model is processed according to the wrom tooth, the movement of multiple tooth hobboing cutter gear hobbing process is simulated on modeling software, using seeking poor life
It enables and Boolean calculation is carried out to the worm gear base threedimensional model using the hob teeth locus of tool edge curved surface threedimensional model, obtain monodentate
Worm gear threedimensional model；
Monodentate worm gear threedimensional model is rotated z times, each angle of rotation is 360/z (°), obtains worm gear threedimensional model.
2. a kind of worm gear hobbing according to claim 1 processes flank of tooth three-dimensional modeling method, which is characterized in that the basis
The wrom tooth processes threedimensional model, and multiple tooth hobboing cutter gear hobbing process movement is simulated on modeling software, utilizes rolling using asking difference to order
Cutter tooth locus of tool edge curved surface threedimensional model carries out Boolean calculation to worm gear base threedimensional model, obtains monodentate worm gear threedimensional model, tool
Body are as follows:
By modeling software, three-dimensional system of coordinate is established in the worm gear base, the number of the hob teeth on the worm gear hob is
Z3, hob teeth locus of tool edge curved surface positive direction of X-axis along the worm gear base moves Z3/2 times, while worm gear base edge
Positive direction rotation, by asking poor order in the modeling software, obtains first monodentate worm gear model, by first list
Tooth worm gear model and the worm gear hob return to initial position；
Hob teeth locus of tool edge curved surface negative direction of X-axis along the worm gear base moves Z3/2 times, while the worm gear base
It is rotated along negative direction, by asking poor order in the modeling software, second monodentate worm gear model is obtained, by described second
Monodentate worm gear model and the worm gear hob return to initial position, obtain monodentate worm gear three-dimensional modeling.
3. a kind of worm gear hobbing according to claim 2 processes flank of tooth three-dimensional modeling method, which is characterized in that further include:
The practical tooth line of the monodentate worm gear three-dimensional modeling is obtained by the modeling software, draws y=0 ideal flank profil line,
Using the dimensional measurement order on the modeling software, measure between the ideal flank profil line and the practical tooth line it is maximum away from
From obtaining the roughness on the worm gear hobbing surface.
4. a kind of worm gear hobbing according to claim 3 processes flank of tooth three-dimensional modeling method, which is characterized in that it is described will be single
Tooth worm gear threedimensional model rotates Z times, and each rotational angle is 360/z (°), obtains worm gear threedimensional model, specifically:
By the Boolean calculation on the modeling software and order is converted by monodentate worm gear rotation Z times, and it is three-dimensional to obtain worm gear
Model；Wherein, Z is the number of teeth of the monodentate worm gear mould processing.
5. a kind of worm gear hobbing according to claim 3 processes flank of tooth three-dimensional modeling method, which is characterized in that the worm gear
Base rotates clockwise as positive direction, and the worm gear base along rotating to be negative direction counterclockwise.
6. a kind of worm gear hobbing according to claim 1 processes flank of tooth three-dimensional modeling method, which is characterized in that the modeling
Software is UG.
7. a kind of worm gear hobbing according to claim 1 processes flank of tooth three-dimensional modeling method, which is characterized in that the worm gear
The cutter tooth of knife leans against on the worm gear base, is directed radially towards the center of circle of the worm gear base.
8. a kind of worm gear hobbing processes flank of tooth three-dimensional modeling apparatus characterized by comprising
Worm gear base three-dimensional modeling unit simulates whirlpool by modeling software according to worm gear parameter and worm gear hobbing working process parameter
Worm gear base threedimensional model is established in the relative position of the working motion and hobboing cutter and worm gear base of taking turns gear hobbing；
Wrom tooth processes three-dimensional modeling unit, and the locus of tool edge curved surface for establishing Archimedes's worm gear hob tooth by modeling software is three-dimensional
Model, and three-dimensional mould is processed in conjunction with the worm gear base threedimensional model and the locus of tool edge curved surface three-dimension modeling wrom tooth
Type；
Monodentate worm gear three-dimensional modeling unit processes threedimensional model according to the wrom tooth, and multiple tooth hobboing cutter rolling is simulated on modeling software
Tooth working motion carries out boolean to worm gear base threedimensional model using hob teeth locus of tool edge curved surface threedimensional model using asking difference to order
Operation obtains monodentate worm gear threedimensional model；
Worm gear three-dimensional modeling unit rotates monodentate worm gear threedimensional model z times, and each angle of rotation is 360/z, and it is three-dimensional to obtain worm gear
Model.
9. a kind of worm gear hobbing according to claim 8 processes flank of tooth three-dimensional modeling apparatus, which is characterized in that the monodentate
Worm gear three-dimensional modeling unit further includes obtaining to seek poor unit, for the worm gear mold type to be subtracted the worm gear hob model.
10. a kind of worm gear hobbing processes flank of tooth three-dimensional modeling equipment, which is characterized in that including processor, memory and storage
In the memory and it is configured the computer program executed by the processing, the processor executes the computer program
Shi Shixian worm gear hobbing as claimed in any one of claims 1 to 7 processes flank of tooth three-dimensional modeling method.
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| CN110008549A (en) * | 2019-03-26 | 2019-07-12 | 厦门理工学院 | A kind of involute worm wheel gear hobbing process flank of tooth three-dimensional modeling method |
| CN110021066A (en) * | 2019-03-13 | 2019-07-16 | 厦门理工学院 | A kind of prolate involute worm gear hobbing three-dimensional modeling method, device and equipment |
| CN110045685A (en) * | 2019-04-22 | 2019-07-23 | 宜昌长机科技有限责任公司 | The method for examining gear machine operating accuracy |
| CN110083978A (en) * | 2019-05-15 | 2019-08-02 | 厦门理工学院 | A kind of cambered surface worm gear hobbing flank profil virtual manufacture method |
| CN110110420A (en) * | 2019-04-28 | 2019-08-09 | 厦门理工学院 | A kind of hourglass worm Gear shape process modeling method, device and equipment |
| CN111687685A (en) * | 2019-03-14 | 2020-09-22 | 中国原子能科学研究院 | Variable-depth chamfering processing method for magnetic pole side edge of spiral fan |
| CN113064383A (en) * | 2021-03-22 | 2021-07-02 | 山东大学 | Cylindrical gear hobbing undeformed chip modeling method based on three-dimensional CAD software |
| CN113103080A (en) * | 2021-04-21 | 2021-07-13 | 重庆大学 | Archimedes worm gear hob design method, cutter grinding correction method and worm gear master machine configuration method |
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