CN104889503A - Semi-contour-evolution machining method for cycloidal-tooth bevel gear with big gear wheel formed based on die - Google Patents
Semi-contour-evolution machining method for cycloidal-tooth bevel gear with big gear wheel formed based on die Download PDFInfo
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- CN104889503A CN104889503A CN201510353676.3A CN201510353676A CN104889503A CN 104889503 A CN104889503 A CN 104889503A CN 201510353676 A CN201510353676 A CN 201510353676A CN 104889503 A CN104889503 A CN 104889503A
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Abstract
The invention discloses a semi-contour-evolution machining method for a cycloidal-tooth bevel gear 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 based on formed in mould overlikon spiral bevel gear half expansion machining method of fine-pitch, belong to technical field of mechanical transmission.
Background technology
Spiral bevel gear transmission is used for motion and the power transmission of spatial vertical intersection axis, in current application mainly there is two kinds of standard: Ao Likang (Oerlikon) and crin Gen Beierge (Klingelnberg) prolate epicycloid equal-depth teeth system in paired bevel gears, adopt continuous indexing, end milling cutter head Gear Milling, be also called face Hobbing Method; Gleason (Gleason) circular arc tapered tooth system, adopts 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, shaping without generate milling by end milling cutter head, and pinion adopts involute profile, by end milling cutter head generating motion Milling Process, obtain paired bevel gears method and be called half expansion machining method of fine-pitch.Circular arc tapered tooth bevel gear pair half expansion machining method of fine-pitch, be divided into again slope knife half spread out (SFT) and sex change half generate (SFM) two kinds of processing methods, in two kinds of methods, gear wheel processing method is identical, gear wheel is used without generate one division method of forming mill teeth, the root face obtaining teeth groove is plane, therefore limits half spreading out principle application conditions: gearratio i
12>=3 or gear wheel reference cone angle δ
2>=60 °, otherwise size end tooth is high not enough.Secondary half expansion machining method of fine-pitch of overlikon spiral bevel gear only has slope knife half spread out (Spirac) method, gear wheel adopts continuous division without generate plunge method mill teeth, the root face obtaining teeth groove is the root conical surface, therefore this half spreading out principle limits without application conditions in theory, all can realize equal-depth teeth, the pinion that is meshed adopts continuous division paired method generate mill teeth; Therefore the secondary slope knife half spread out processing method of overlikon spiral bevel gear can further expand application, to obtain the secondary high efficient production new method of overlikon spiral bevel gear.
In Dong Xuezhu work " overlikon spiral bevel gear and hypoid gear Design and manufacture ", overlikon spiral bevel gear slope knife half spread out (Spirac) method, gear wheel adopts continuous division to adopt continuous division paired method generate mill teeth without generate plunge method mill teeth, pinion; Because overlikon spiral bevel gear is according to the principle processing of " producing shape wheel " Generating gear, add cutter in man-hour top rotary motion curved surface and the formative gear root conical surface, therefore exploring a kind of pinion adopts continuous division without generate plunge method mill teeth, gear wheel sets up flank of tooth digital model based on continuous division paired method generating motion rule, gear wheel adopts formed in mould new method, will improve the manufacture efficiency of overlikon spiral bevel gear pair further.
Summary of the invention
The object of the invention is to provide a kind of overlikon spiral bevel gear secondary half generate new method for processing, pinion adopts continuous division without generate plunge method mill teeth, and gear wheel adopts mould molding, realizes the high efficient production of overlikon spiral bevel gear pair.
As follows in order to reach the technical scheme that object of the present invention takes:
Gear wheel comprises based on formed in mould overlikon spiral bevel gear half expansion machining method of fine-pitch: pinion adopts continuous division without generate plunge method mill teeth, gear wheel is set up flank of tooth digital model based on continuous division paired method generating motion rule, is adopted mould molding, comprises the steps:
(1) pinion mill teeth adjustment parameter calculates: adopt gear wheel continuous division in prior art overlikon spiral bevel gear slope knife half spread out (Spirac) method to adjust the identical computational methods of parameter without generate plunge method mill teeth, calculate pinion continuous division without generate plunge method mill teeth adjustment parameter, set up pinion Mathematical Model of Teeth;
(2) pinion processing: adopt gear wheel continuous division in prior art overlikon spiral bevel gear slope knife half spread out (Spirac) method without the identical method of generate plunge method Gear Milling, according to pinion mill teeth adjustment parameter, continuous division is adopted on special tooth milling machine, to process pinion without generate incision mill teeth method;
(3) gear wheel Mathematical Model of Teeth is set up: according to the point cantact conjugate curved surface principle of continuous, tangent contact, meet design basis point position and this some place gear helical angle, pressure angle condition, to adjust calculation method of parameters identical with pinion continuous division paired method generate mill teeth in prior art overlikon spiral bevel gear slope knife half spread out (Spirac) method, sets up gear wheel Mathematical Model of Teeth based on continuous division paired method generating motion rule;
(4) flank engagement Simulation Analysis: gear wheel Mathematical Model of Teeth and pinion Mathematical Model of Teeth are pressed the crossed axis angle of designing requirement and respective locating distance Virtual assemble, engaged transmission, obtain the circular tooth contact of the secondary theoretical model of overlikon spiral bevel gear;
(5) gear wheel axial modification: according to the principle that pinion is constant, keep the pressure angle at the position of design basis point and this some place, helical angle constant, according to position, gear pair contact zone, form to the axial modification of gear wheel, obtain the gear wheel Mathematical Model of Teeth after correction of the flank shape, set up gear wheel digital model;
(6) make gear wheel mold cavity based on gear wheel digital model, design gear wheel mould, by Making mold gear wheel;
(7) large and small gear is assembled by the crossed axis angle of designing requirement and respective locating distance, obtain overlikon spiral bevel gear pair.
Gear wheel is based in formed in mould overlikon spiral bevel gear half expansion machining method of fine-pitch: in the secondary practical application of overlikon spiral bevel gear, crossed axis angle mostly is 90o, gear wheel adopts mould molding to be high efficient production method, the pinion engaged with it adopts continuous division without generate plunge method mill teeth, belong to a kind of half generate high efficiency processing method, therefore gear wheel is a kind of high efficiency manufacture new method based on formed in mould overlikon spiral bevel gear half expansion machining method of fine-pitch.
Beneficial effect of the present invention is, a kind of gear wheel proposed is based on formed in mould overlikon spiral bevel gear half expansion machining method of fine-pitch, pinion adopts continuous division without generate plunge method mill teeth, gear wheel adopts mould molding, acquisition overlikon spiral bevel gear is secondary, more existing process technology has higher working (machining) efficiency, reduces batch production cost.
Accompanying drawing explanation
Fig. 1 is that continuous division is without generate plunge method processing pinion flank of tooth schematic diagram;
Fig. 2 is the pinion graphics that continuous division obtains without the processing of generate plunge method;
Fig. 3 is continuous division antithesis generating processing gear wheel flank of tooth schematic diagram;
Fig. 4 is the gear wheel profile modification schematic diagram of overlikon spiral bevel gear pair;
Fig. 5 is formed in mould gear wheel graphics;
Fig. 6 is obtained overlikon spiral bevel gear pair by half generate new method for processing.
In figure: 1--cutterhead, the outer cutter of 2--, cutter in 3--, 4--pinion, 5--gear wheel, 6--produces shape wheel.
Detailed description of the invention
With reference to the accompanying drawings embodiments of the invention are described below.
The secondary main design parameters of overlikon spiral bevel gear:
Pinion: the number of teeth 23, rotation direction is left-handed, facewidth 26mm, reference cone angle 31.185 °, locating distance 57.3373mm, height of teeth top 2.7324mm;
Gear wheel: the number of teeth 38, rotation direction dextrorotation, facewidth 24mm, reference cone angle 58.815 °, locating distance 34.7042mm, height of teeth top 2.2115mm,
Common parameter: crossed axis angle 90 °, whole depth 5.5619mm, design basis point P normal module 2.472mm, design basis point P normal pressure angle 20 °, design basis point P helical angle 35 °;
Cutter parameters: cutter tooth group number 13, cutterhead nominal radius 88mm.
When utilizing gear wheel to produce based on formed in mould overlikon spiral bevel gear half expansion machining method of fine-pitch, can carry out in accordance with the following steps:
(1) pinion mill teeth adjustment parameter calculates: adopt gear wheel continuous division in prior art overlikon spiral bevel gear slope knife half spread out (Spirac) method to adjust the identical computational methods of parameter without generate plunge method mill teeth, as shown in Figure 1, according to the relative motion relation of the relative pinion 4 of cutterhead 1, concave surface and the convex surface principle of pinion 4 teeth groove is formed respectively by the outer cutter 2 of cutterhead 1, interior cutter 3, calculate pinion continuous division without generate plunge method mill teeth adjustment parameter, set up pinion Mathematical Model of Teeth;
(2) pinion processing: adopt gear wheel continuous division in prior art overlikon spiral bevel gear slope knife half spread out (Spirac) method without the identical method of generate plunge method Gear Milling, according to calculating gained pinion mill teeth adjustment parameter in (1), adopt continuous division on S17 type tooth milling machine, to process pinion without generate incision mill teeth method, obtain pinion as shown in Figure 2;
(3) gear wheel Mathematical Model of Teeth is set up: according to continuous, the point cantact conjugate curved surface principle of tangent contact, meet design basis point P position and this some place gear helical angle, pressure angle condition, to adjust calculation method of parameters identical with pinion continuous division paired method generate mill teeth in prior art overlikon spiral bevel gear slope knife half spread out (Spirac) method, gear wheel Mathematical Model of Teeth is set up based on continuous division paired method generating motion rule, as shown in Figure 3, according to the relative motion relation of the relative gear wheel 5 of cutterhead 1, by the outer cutter 2 of cutterhead 1, interior cutter 3 forms concave surface and the convex surface of gear wheel 5 teeth groove respectively,
(4) flank engagement Simulation Analysis: gear wheel Mathematical Model of Teeth and pinion Mathematical Model of Teeth are pressed the crossed axis angle of designing requirement and respective locating distance Virtual assemble, engaged transmission, obtain the circular tooth contact of the secondary theoretical model of overlikon spiral bevel gear, normal title pinion concave surface and gear wheel convex surface are working face, and pinion convex surface and gear wheel concave surface are non-working surface;
(5) gear wheel axial modification: according to the principle that pinion is constant, keep the pressure angle at the position of design basis point P and this some place, helical angle constant, according to position, gear pair contact zone, form, meeting the axial modification to gear wheel under transmission registration and ratio error minimal condition, correction of the flank shape principle as shown in Figure 4, to realize profile modification by revising pressure angle, other correction of the flank shape is auxiliary, obtain the gear wheel Mathematical Model of Teeth after correction of the flank shape, set up gear wheel digital model;
(6) make gear wheel mold cavity based on gear wheel digital model, design gear wheel mould, by Making mold gear wheel (as shown in Figure 5);
(7) large and small gear is assembled by the crossed axis angle of designing requirement and respective locating distance, obtain overlikon spiral bevel gear pair; As shown in Figure 6, in overlikon spiral bevel gear pair, pinion 4 is gear wheel 5 that is left-handed, that engage with it is dextrorotation.
Gear wheel is based in formed in mould overlikon spiral bevel gear half expansion machining method of fine-pitch, gear wheel adopts mould molding to be high efficient production method, the pinion engaged with it adopts continuous division without generate plunge method mill teeth, belong to a kind of half generate high efficiency processing method, therefore gear wheel is a kind of high efficiency manufacture new method based on formed in mould overlikon spiral bevel gear half expansion machining method of fine-pitch.The secondary new machining method of overlikon spiral bevel gear is characterized as:
As shown in Figure 1 and Figure 2, pinion based on gear wheel process principle in Spirac method, adopt continuous division without generate plunge method Gear Milling, can meet pinion without generate forming requirements, obtain the contour flank of tooth pinion root conical surface meeting helical angle requirement, realize pinion high efficiency manufacture; The pinion processing method of relative Spirac method, adopts continuous division to improve pinion dedendum strength without the processing of generate plunge method, avoid pinion head and come to a point, improves pinion bearing capacity.
As seen in figures 3-5, gear wheel is based on the medium and small Gear Processing principle of Spirac method, continuous division paired method generating motion rule is adopted to set up gear wheel Mathematical Model of Teeth, predetermined circular tooth contact and the meshing characteristic of designing requirement is obtained by gear wheel axial modification, obtain the gear wheel Mathematical Model of Teeth after correction of the flank shape, set up gear wheel digital model, generate mold cavity, gear wheel is by die plastic forming; Gear wheel is conducive to self-strength by die plastic forming and improves, and can ensure bearing capacity and the working life of gear wheel.Overlikon spiral bevel gear for special parameter is secondary, can be met equal strength or the equivalent life designing requirement of large and small gear in the bad parameter designing process of wheel by adjustment height change coefficient and coefficient of profile tangential shift dangerous section.
Claims (1)
1. gear wheel is based on formed in mould overlikon spiral bevel gear half expansion machining method of fine-pitch, it is characterized in that comprising the following steps:
(1) calculate pinion continuous division without generate plunge method mill teeth adjustment parameter, set up pinion Mathematical Model of Teeth;
(2) according to pinion mill teeth adjustment parameter, continuous division is adopted on special tooth milling machine, to process pinion without generate incision mill teeth method;
(3) according to the point cantact conjugate curved surface principle of continuous, tangent contact, meet design basis point position and this some place gear helical angle, pressure angle 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 pinion Mathematical Model of Teeth are pressed the crossed axis angle of designing requirement and respective locating distance Virtual assemble, engaged transmission, obtain the circular tooth contact of the secondary theoretical model of overlikon spiral bevel gear;
(5) keep the pressure angle at the position of design basis point and this some place, helical angle constant, according to position, gear pair contact zone, form to the axial modification of gear wheel, obtain the gear wheel Mathematical Model of Teeth after correction of the flank shape, set up gear wheel digital model;
(6) make gear wheel mold cavity based on gear wheel digital model, design gear wheel mould, by Making mold gear wheel;
(7) large and small gear is assembled by the crossed axis angle of designing requirement and respective locating distance, 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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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN106392202A (en) * | 2016-11-25 | 2017-02-15 | 攀枝花学院 | Curve gear machining cutter capable of adjusting curve gear machining diameters |
| CN106607626A (en) * | 2017-01-20 | 2017-05-03 | 常州市格里森前进齿轮有限公司 | Gear-milling method of curve-tooth bevel gear based on tooth contact analysis |
| CN111687493A (en) * | 2020-06-08 | 2020-09-22 | 西安交通大学 | Variable tool path machining method for cycloidal-tooth bevel gear based on integral cutter head |
| CN112975000A (en) * | 2021-02-24 | 2021-06-18 | 西安理工大学 | Cylindrical gear finish machining scraping tool design method and scraping modification process |
| CN114393257A (en) * | 2022-01-17 | 2022-04-26 | 合肥工业大学 | Cutter for processing straight bevel gear |
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Patent Citations (8)
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| 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 |
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Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106392202A (en) * | 2016-11-25 | 2017-02-15 | 攀枝花学院 | Curve gear machining cutter capable of adjusting curve gear machining diameters |
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| CN106607626A (en) * | 2017-01-20 | 2017-05-03 | 常州市格里森前进齿轮有限公司 | Gear-milling method of curve-tooth bevel gear based on tooth contact analysis |
| CN111687493A (en) * | 2020-06-08 | 2020-09-22 | 西安交通大学 | Variable tool path machining method for cycloidal-tooth bevel gear based on integral cutter head |
| CN112975000A (en) * | 2021-02-24 | 2021-06-18 | 西安理工大学 | Cylindrical gear finish machining scraping tool design method and scraping modification process |
| CN114393257A (en) * | 2022-01-17 | 2022-04-26 | 合肥工业大学 | Cutter for processing straight bevel gear |
| CN114393257B (en) * | 2022-01-17 | 2022-12-30 | 合肥工业大学 | Cutter for machining straight bevel gear |
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