CN104889503B - Semi-contour-evolution machining method for cycloidal-tooth bevel gear pair with big gear wheel formed based on die - Google Patents
Semi-contour-evolution machining method for cycloidal-tooth bevel gear pair with big gear wheel formed based on die Download PDFInfo
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- CN104889503B CN104889503B CN201510353676.3A CN201510353676A CN104889503B CN 104889503 B CN104889503 B CN 104889503B CN 201510353676 A CN201510353676 A CN 201510353676A CN 104889503 B CN104889503 B CN 104889503B
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Abstract
The invention discloses a semi-contour-evolution machining method for a cycloidal-tooth bevel gear pair with a big gear wheel formed based on a die and belongs to the technical field of mechanical drive. The semi-contour-evolution machining method for the cycloidal-tooth bevel gear with the big gear wheel formed based on the die comprises the steps that a small gear is milled by adopting a continuous-indexing contour-evolution-free cutting-in method, a tooth surface mathematic model of the large gear is formed based on a contour-evolution motion law of a continuous-indexing paired method, a predetermined tooth surface contact zone and meshing characteristics meeting the design requirement are obtained through large gear tooth surface shape correction, the large gear tooth surface mathematic model subjected to shape correction is obtained, a large gear digitalized model is established, a mold cavity is generated, the large gear is plastically formed through the mold, and a cycloidal-tooth bevel gear pair is obtained. Compared with the prior art, the semi-contour-evolution machining method has higher machining efficiency, and batch production cost is reduced.
Description
Technical field
The present invention relates to a kind of gear wheel is based on formed in mould overlikon spiral bevel gear pair half expansion machining method of fine-pitch, belong to machine
Tool drive technology field.
Background technology
Spiral bevel gear is driven the motion and power transmission for spatial vertical intersection axis, curve tooth in applying at present
Bevel gear pair is primarily present two kinds of standards：Put outside Ao Likang (Oerlikon) and the long width of crin Gen Beierge (Klingelnberg)
Line equal-depth teeth system, using continuous indexing, end milling cutter head Gear Milling, is also called face Hobbing Method；Gleason (Gleason) circle
Arc tapered tooth system, using one division method, end milling cutter head Gear Milling, is also called end face mill teeth method.
In order to improve working (machining) efficiency in spiral bevel gear batch production, gear wheel adopts straight-side profile, by end milling cutter head
No transform into milling molding, little gear adopts involute profile, by end milling cutter head generating motion Milling Process, obtain curve tooth cone tooth
Wheel set method is referred to as half expansion machining method of fine-pitch.Circular arc tapered tooth bevel gear pair half expansion machining method of fine-pitch, is divided into tilt half to open up again
(SFT) and degeneration is become partly to transform into (SFM) two kinds of processing methods, in two methods, gear wheel processing method is identical, gear wheel is no
Transform into one division method of forming mill teeth, the root face obtaining teeth groove is plane, therefore limits half spreading out principle application conditions：Gear ratio i12
>=3 or gear wheel reference cone angle δ2>=60 °, otherwise size end tooth is high not enough.Overlikon spiral bevel gear pair half expansion machining method of fine-pitch only has
Slope knife half spread out (Spirac) method, gear wheel no transforms into plunge method mill teeth using continuous division, and the root face obtaining teeth groove is root
The conical surface, therefore this half spreading out principle no application conditions limit in theory, all can achieve equal-depth teeth, and the little gear that is meshed is using continuous point
Degree paired method transforms into mill teeth；Therefore overlikon spiral bevel gear pair slope knife half spread out processing method can further expand application, to obtain
Obtain overlikon spiral bevel gear pair high efficient production new method.
Dong Xuezhu writes《Overlikon spiral bevel gear and hypoid gear design and manufacture》In, overlikon spiral bevel gear tilt half is opened up
Become (Spirac) method, gear wheel no transforms into plunge method mill teeth using continuous division, little gear is transformed into using continuous division paired method
Mill teeth；Because overlikon spiral bevel gear is according to the principle processing of " producing shape wheel " Generating gear, rotary motion curved surface in knife top during processing
Form the Gear Root conical surface, therefore explore a kind of little gear and plunge method mill teeth is no transformed into using continuous division, gear wheel is based on continuous
Indexing paired method generating motion rule sets up flank of tooth digital model, and gear wheel adopts formed in mould new method, will further
Improve the secondary manufacture efficiency of overlikon spiral bevel gear.
Content of the invention
The invention aims to providing a kind of overlikon spiral bevel gear pair partly to transform into new method for processing, little gear is using continuous
Indexing no transforms into plunge method mill teeth, and gear wheel adopts mould molding, realizes the secondary high efficient production of overlikon spiral bevel gear.
As follows in order to reach the technical scheme that the purpose of the present invention taken：
Gear wheel is based on formed in mould overlikon spiral bevel gear pair half expansion machining method of fine-pitch and includes：Little gear is using continuous point
Degree no transforms into plunge method mill teeth, and gear wheel is set up flank of tooth digital model, adopted based on continuous division paired method generating motion rule
With mould molding, comprise the steps：
(1) little gear mill teeth adjusting parameter calculates：Using prior art overlikon spiral bevel gear slope knife half spread out (Spirac)
In method, gear wheel continuous division no transforms into plunge method mill teeth adjusting parameter identical computational methods, calculates little gear and continuously divides
Degree no transforms into plunge method mill teeth adjusting parameter, sets up little gear Mathematical Model of Teeth；
(2) little gear processing：Used using gear wheel in prior art overlikon spiral bevel gear slope knife half spread out (Spirac) method
Continuous division no transforms into plunge method Gear Milling identical method, according to little gear mill teeth adjusting parameter, using continuous division no
Transform into incision mill teeth method and little gear is processed on special tooth milling machine；
(3) gear wheel Mathematical Model of Teeth is set up：According to the point contact conjugate curved surface principle of continuous, tangent contact, meet
Gear helical angle, pressure corner condition at design basis point position and this point, with prior art overlikon spiral bevel gear slope knife half spread out
(Spirac) in method little gear continuous division paired method to transform into mill teeth adjusting parameter computational methods identical, based on continuous division pair
Even method generating motion rule sets up gear wheel Mathematical Model of Teeth；
(4) flank engagement Simulation Analysis：By gear wheel Mathematical Model of Teeth and little gear Mathematical Model of Teeth by setting
Crossed axis angle and respective locating distance Virtual assemble, engaged transmission that meter requires, obtain the flank of tooth of overlikon spiral bevel gear pair theoretical model
Contact area；
(5) gear wheel axial modification：According to the principle that little gear is constant, keep at position and this point of design basis point
Pressure angle, helical angle constant, according to gear pair contact zone position, the axial modification to gear wheel for the form, after obtaining correction of the flank shape
Gear wheel Mathematical Model of Teeth, sets up gear wheel digital model；
(6) it is based on gear wheel digital model and makes gear wheel mold cavity, design gear wheel mould, by mould system
Make gear wheel；
(7) large and small gear is pressed crossed axis angle and the assembling of respective locating distance of design requirement, obtain overlikon spiral bevel gear pair.
Gear wheel is based in formed in mould overlikon spiral bevel gear pair half expansion machining method of fine-pitch：Overlikon spiral bevel gear is secondary actual
In application, crossed axis angle mostly is 90 °, and gear wheel is high efficient production method using mould molding, and the little gear engaging is using even
Continuous indexing no transforms into plunge method mill teeth, belongs to one kind and partly transforms into high efficiency processing method, therefore gear wheel is based on formed in mould
Overlikon spiral bevel gear pair half expansion machining method of fine-pitch is a kind of high efficiency manufacture new method.
The beneficial effects of the present invention is, a kind of gear wheel being proposed is based on formed in mould overlikon spiral bevel gear secondary half
Expansion machining method of fine-pitch, little gear no transforms into plunge method mill teeth using continuous division, and gear wheel adopts mould molding, obtains cycloid tooth
Bevel gear pair, more existing process technology has higher working (machining) efficiency, reduces batch production cost.
Brief description
Fig. 1 no transforms into plunge method processing little gear flank of tooth schematic diagram for continuous division；
Fig. 2 no transforms into, for continuous division, the little gear graphics that plunge method processing obtains；
Fig. 3 is that continuous division antithesis generating processes gear wheel flank of tooth schematic diagram；
Fig. 4 is the secondary gear wheel profile modification schematic diagram of overlikon spiral bevel gear；
Fig. 5 is formed in mould gear wheel graphics；
Fig. 6 is obtained overlikon spiral bevel gear pair by partly transforming into new method for processing.
In figure：1-- cutterhead, the outer knife of 2--, knife in 3--, 4-- little gear, 5-- gear wheel, 6-- produces shape wheel.
Specific embodiment
Below according to accompanying drawing, embodiments of the invention are described.
Overlikon spiral bevel gear pair main design parameters：
Little gear：The number of teeth 23, rotation direction is left-handed, facewidth 26mm, 31.185 ° of reference cone angle, locating distance 57.3373mm, height of teeth top
2.7324mm；
Gear wheel：The number of teeth 38, rotation direction dextrorotation, facewidth 24mm, 58.815 ° of reference cone angle, locating distance 34.7042mm, height of teeth top
2.2115mm,
Common parameter：90 ° of crossed axis angle, whole depth 5.5619mm, design basis point P normal module 2.472mm, design basis
20 ° of point P normal pressure angle, 35 ° of design basis point P helical angle；
Cutter parameters：Cutter tooth group number 13, cutterhead nominal radius 88mm.
When being produced based on formed in mould overlikon spiral bevel gear half expansion machining method of fine-pitch using gear wheel, can be according to such as
Lower step is carried out：
(1) little gear mill teeth adjusting parameter calculates：Using prior art overlikon spiral bevel gear slope knife half spread out (Spirac)
In method, gear wheel continuous division no transforms into plunge method mill teeth adjusting parameter identical computational methods, as shown in figure 1, according to cutterhead
The relative motion relation of 1 relative little gear 4, forms the concave surface of little gear 4 teeth groove and convex respectively by the outer knife 2 of cutterhead 1, interior knife 3
Face principle, calculates little gear continuous division and no transforms into plunge method mill teeth adjusting parameter, set up little gear Mathematical Model of Teeth；
(2) little gear processing：Used using gear wheel in prior art overlikon spiral bevel gear slope knife half spread out (Spirac) method
Continuous division no transforms into plunge method Gear Milling identical method, calculates gained little gear mill teeth adjusting parameter according in (1), adopts
No transform into incision mill teeth method with continuous division and process little gear on S17 type tooth milling machine, obtain little gear as shown in Figure 2；
(3) gear wheel Mathematical Model of Teeth is set up：According to the point contact conjugate curved surface principle of continuous, tangent contact, meet
Gear helical angle, pressure corner condition at design basis point P position and this point, with prior art overlikon spiral bevel gear slope knife half spread out
(Spirac) in method little gear continuous division paired method to transform into mill teeth adjusting parameter computational methods identical, based on continuous division pair
Even method generating motion rule sets up gear wheel Mathematical Model of Teeth, as shown in figure 3, the relative fortune according to cutterhead 1 gear wheel 5 relatively
Dynamic relation, is formed concave surface and the convex surface of gear wheel 5 teeth groove respectively by the outer knife 2 of cutterhead 1, interior knife 3；
(4) flank engagement Simulation Analysis：By gear wheel Mathematical Model of Teeth and little gear Mathematical Model of Teeth by setting
Crossed axis angle and respective locating distance Virtual assemble, engaged transmission that meter requires, obtain the flank of tooth of overlikon spiral bevel gear pair theoretical model
Contact area, often little gear concave surface and gear wheel convex surface are called work surface, and little gear convex surface and gear wheel concave surface are non-working surface；
(5) gear wheel axial modification：According to the principle that little gear is constant, keep position and this point of design basis point P
The pressure angle at place, helical angle are constant, according to gear pair contact zone position, form, are meeting transmission registration and ratio error
Axial modification to gear wheel under minimal condition, correction of the flank shape principle as shown in Figure 4, to realize profile modification by revising pressure angle
Based on, supplemented by other corrections of the flank shape, obtain the gear wheel Mathematical Model of Teeth after correction of the flank shape, set up gear wheel digital model；
(6) it is based on gear wheel digital model and makes gear wheel mold cavity, design gear wheel mould, by mould system
Make gear wheel (as shown in Figure 5)；
(7) large and small gear is pressed crossed axis angle and the assembling of respective locating distance of design requirement, obtain overlikon spiral bevel gear pair；
As shown in fig. 6, in overlikon spiral bevel gear pair, little gear 4 is dextrorotation for gear wheel 5 that is left-handed, engaging.
Gear wheel is based in formed in mould overlikon spiral bevel gear half expansion machining method of fine-pitch, and gear wheel using mould molding is
High efficient production method, the little gear engaging no transforms into plunge method mill teeth using continuous division, belongs to one kind and partly transforms into height
Efficiency processing method, therefore gear wheel are a kind of high efficiency manufactures based on formed in mould overlikon spiral bevel gear half expansion machining method of fine-pitch
New method.Overlikon spiral bevel gear pair new machining method is characterized as：
As shown in Figure 1 and Figure 2, little gear is based on gear wheel process principle in Spirac method, is no transformed into using continuous division and cuts
Enter method Gear Milling, the nothing that can meet little gear transforms into forming requirements, obtain helical angle requirement is met on the little gear root conical surface
The contour flank of tooth, realize little gear high efficiency manufacture；The little gear processing method of relative Spirac method, is no transformed into using continuous division
Plunge method processing improves little gear dedendum strength, avoids pinion head and come to a point, and improves little gear bearing capacity.
As seen in figures 3-5, gear wheel is based on little Gear Processing principle in Spirac method, using continuous division paired method exhibition
Become the characteristics of motion to set up gear wheel Mathematical Model of Teeth, predetermined circular tooth contact is obtained by gear wheel axial modification and sets
The meshing characteristic that meter requires, obtains the gear wheel Mathematical Model of Teeth after correction of the flank shape, sets up gear wheel digital model, generates mould
Die cavity, gear wheel is by die plastic forming；Gear wheel is conducive to self-strength to improve by die plastic forming, can ensure canine tooth
The bearing capacity of wheel and working life.For the overlikon spiral bevel gear pair of special parameter, can be during wheel bad parameter designing
Meet equal strength or the equivalent life design requirement of large and small gear by adjusting height change coefficient and coefficient of profile tangential shift dangerous section.
Claims (1)
1. a kind of gear wheel is based on formed in mould overlikon spiral bevel gear pair half expansion machining method of fine-pitch, it is characterized in that walking including following
Suddenly：
(1) calculate little gear continuous division and no transform into plunge method mill teeth adjusting parameter, set up little gear Mathematical Model of Teeth；
(2) according to little gear mill teeth adjusting parameter, incision mill teeth method is no transformed into using continuous division and processes on special tooth milling machine
Little gear；
(3) according to the point contact conjugate curved surface principle of continuous, tangent contact, meet gear spiral shell at design basis point position and this point
Swing angle, pressure corner condition, set up gear wheel Mathematical Model of Teeth based on continuous division paired method generating motion rule；
(4) gear wheel Mathematical Model of Teeth and little gear Mathematical Model of Teeth are pressed the crossed axis angle of design requirement and respective locating distance
Virtual assemble, engaged transmission, obtain the circular tooth contact of overlikon spiral bevel gear pair theoretical model；
(5) keep pressure angle at the position of design basis point and this point, helical angle constant, contact position according to gear pair
Put, the axial modification to gear wheel for the form, obtain the gear wheel Mathematical Model of Teeth after correction of the flank shape, set up gear wheel digitized mould
Type；
(6) it is based on gear wheel digital model and makes gear wheel mold cavity, design gear wheel mould, big by Making mold
Gear；
(7) large and small gear is pressed crossed axis angle and the assembling of respective locating distance of design requirement, obtain overlikon spiral bevel gear pair.
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| CN201510353676.3A CN104889503B (en) | 2015-06-24 | 2015-06-24 | Semi-contour-evolution machining method for cycloidal-tooth bevel gear pair with big gear wheel formed based on die |
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| CN201510353676.3A CN104889503B (en) | 2015-06-24 | 2015-06-24 | Semi-contour-evolution machining method for cycloidal-tooth bevel gear pair with big gear wheel formed based on die |
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| CN106392202B (en) * | 2016-11-25 | 2018-05-25 | 攀枝花学院 | The curved tooth cylindrical gear process tool of adjustable curved tooth cylindrical gear processing diameter |
| CN106607626B (en) * | 2017-01-20 | 2018-09-18 | 常州市格里森前进齿轮有限公司 | A kind of mill teeth method of the spiral bevel gear based on Tooth Contact Analysis |
| CN111687493B (en) * | 2020-06-08 | 2021-05-28 | 西安交通大学 | Variable tool path machining method for cycloidal-tooth bevel gear based on integral cutter head |
| CN112975000B (en) * | 2021-02-24 | 2022-08-05 | 西安理工大学 | Cylindrical gear finish machining scraping tool design method and scraping modification process |
| CN114393257B (en) * | 2022-01-17 | 2022-12-30 | 合肥工业大学 | Cutter for machining straight bevel gear |
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|---|---|---|---|---|
| GB109962A (en) * | 1916-11-30 | 1917-10-04 | Erik Hjalmar Wingqvist | An Improved Bevel Gear-wheel and Method of Manufacturing the same. |
| GB266357A (en) * | 1926-02-19 | 1927-06-30 | Gleason Works | Improvements in or relating to toothed gears |
| US4367058A (en) * | 1978-02-23 | 1983-01-04 | The University Of Kentucky Research Foundation | Bevolute gear system |
| DE3937112A1 (en) * | 1988-11-10 | 1990-05-17 | Nissan Motor | METHOD FOR PRODUCING AN ARC GEAR BEARING |
| CN101982673A (en) * | 2010-11-04 | 2011-03-02 | 吉林大学 | Design method of hypoid gear pair |
| CN102518756A (en) * | 2011-12-23 | 2012-06-27 | 重庆大学 | Compound transmission face gear pair with transmission ratio variable |
| CN102648068A (en) * | 2009-10-05 | 2012-08-22 | 科林基恩伯格股份公司 | Method for generating bevel gears with hypocycloid toothing in a continuous moulding process using corresponding tools |
| CN103692025A (en) * | 2013-12-06 | 2014-04-02 | 西安交通大学 | Machining method of cycloidal-tooth bevel gear |
-
2015
- 2015-06-24 CN CN201510353676.3A patent/CN104889503B/en not_active Expired - Fee Related
Patent Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| GB109962A (en) * | 1916-11-30 | 1917-10-04 | Erik Hjalmar Wingqvist | An Improved Bevel Gear-wheel and Method of Manufacturing the same. |
| GB266357A (en) * | 1926-02-19 | 1927-06-30 | Gleason Works | Improvements in or relating to toothed gears |
| US4367058A (en) * | 1978-02-23 | 1983-01-04 | The University Of Kentucky Research Foundation | Bevolute gear system |
| DE3937112A1 (en) * | 1988-11-10 | 1990-05-17 | Nissan Motor | METHOD FOR PRODUCING AN ARC GEAR BEARING |
| CN102648068A (en) * | 2009-10-05 | 2012-08-22 | 科林基恩伯格股份公司 | Method for generating bevel gears with hypocycloid toothing in a continuous moulding process using corresponding tools |
| CN101982673A (en) * | 2010-11-04 | 2011-03-02 | 吉林大学 | Design method of hypoid gear pair |
| CN102518756A (en) * | 2011-12-23 | 2012-06-27 | 重庆大学 | Compound transmission face gear pair with transmission ratio variable |
| CN103692025A (en) * | 2013-12-06 | 2014-04-02 | 西安交通大学 | Machining method of cycloidal-tooth bevel gear |
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