CN107255153A - A kind of tooth top tip relief method for improving involute cylindrical gear veneering bearing ability - Google Patents
A kind of tooth top tip relief method for improving involute cylindrical gear veneering bearing ability Download PDFInfo
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- CN107255153A CN107255153A CN201710467742.9A CN201710467742A CN107255153A CN 107255153 A CN107255153 A CN 107255153A CN 201710467742 A CN201710467742 A CN 201710467742A CN 107255153 A CN107255153 A CN 107255153A
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- tip relief
- mrow
- tooth top
- circle
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
- F16H55/02—Toothed members; Worms
- F16H55/08—Profiling
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- Engineering & Computer Science (AREA)
- General Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Computer Hardware Design (AREA)
- Evolutionary Computation (AREA)
- Geometry (AREA)
- General Physics & Mathematics (AREA)
- Mechanical Engineering (AREA)
- Gears, Cams (AREA)
Abstract
The present invention relates to a kind of tooth top tip relief method for improving involute cylindrical gear veneering bearing ability, its tip relief curve is divided into two sections, first paragraph curve is up repaiied to tooth top when minimum tooth is participated in and engaged on flank of tooth involute peak, gear is prevented to be deformed after engaging for a long time, cause to enter engagement in advance, cause vibration noise;Second segment tip relief is to do a curve transition at the tooth top after tip relief at first again, allow and moved down again into first point engaged, make to enter the hertz stress reduction responded during engagement, such tip relief effect greatly reduces spot corrosion and the greyness phenomenon of correspondence meshing gear root.Final whole tooth trace is inwardly made up of from tooth top three sections of second segment tip relief curve, first paragraph tip relief curve and involute curve.The present invention reduces wear extent, increases the service life, and greatly improves the veneering bearing ability of gear.
Description
Technical field
The invention belongs to technical field of mechanical transmission, and in particular to a kind of involute cylindrical gear tooth top tip relief method.
Background technology
Gear is the basic components of transmission system, and its effect is that the rotation of an axle is passed into another axle, and realization subtracts
The functions such as speed, speedup, deflecting and steering.Wherein, involute cylindrical gear is the most frequently used gear.In engagement process, work as gear
During operating, due to the relative slip of two gears, rill is torn on flank of tooth surface, this phenomenon just turns into tooth face agglutination.Flank of tooth glue
Close in the gear drive of high-speed overload, often because temperature is raised, the oil film of lubricating oil is destroyed, and contact Tooth produces very high
Transient temperature, while under very high pressure, the metal position at face is bonded together.Occurring will production after tooth face agglutination
Raw strong abrasion.There is temperature rise in the note operating of the elastic deformation after the gear teeth stand under load when gear remains in operation, in manufacturing process
The factor such as mismachining tolerance, the gear teeth contact for deviateing normal path of contact is occurred and impact vibration or lubrication deteriorates, in wheel
Occur top sword meshing phenomena at the engaging-in point of tooth, reduce the bearing capacity and service life of gear.In order to prevent gluing, it can generally adopt
With the lubricating oil and raising tooth face hardness that viscosity is larger or seizure resistance is good and reduction tooth-face roughness.But effect is still paid no attention to
Think.
In view of the foregoing, a kind of tooth top that can improve involute cylindrical gear veneering bearing ability is developed to repair
Edge method is extremely urgent.
The content of the invention
In view of deficiencies of the prior art, the technical problem to be solved in the present invention is for raising involute Cylinder Gear
Veneering bearing ability is taken turns, it is met use demand.
To reach above-mentioned purpose, the present invention is adopted the following technical scheme that:
A kind of tooth top tip relief method for improving involute cylindrical gear veneering bearing ability, its tip diameter is Da;Tooth
Top tip relief curve is made up of first paragraph tip relief curve and second segment tip relief curve;The first paragraph tip relief curve is fitted by first paragraph
Curve matching, second segment tip relief curve is fitted by second segment matched curve;The first paragraph tip relief curve is participated in from minimum tooth
Peak starts on the flank of tooth involute during engagement, to one with terminating at II circle of gear concentric;If passing through the peak
And justify with the circle of gear concentric for I;The second segment tip relief curve be since II circle and first paragraph pitch curve intersection point,
Terminate to the outside circle;Final whole tooth trace from tooth top inwardly by second segment tip relief curve, first paragraph tip relief curve and
Three sections of compositions of involute curve.
The first paragraph matched curve is in diametric(al) tip relief amount by the gained of formula one:
In formula one, CaαIt is first paragraph matched curve tip relief amount at tooth top;X1For insertion coefficient;β is tip relief curve coefficients.
Tip relief amount at tooth topWherein FtIt is the nominal tangential force in gear face on reference circle, b is gear
Work the facewidth, CrIt is the average value of gear teeth global stiffness in end section.
Insert coefficient X1Excursion 0~1, i.e., the X at I circle1=0, the X at outside circle1=1, X1Interpolation quantity can
On demand N is set from 0~11Individual value, this N1Individual point is fitted to first paragraph matched curve.II fenestra is and gear concentric
Circle, its diameterM is module in formula, and β is tip relief curve coefficients.
The second segment matched curve is in diametric(al) correspondence tip relief amount by the gained of formula two:
In formula two, X2For insertion coefficient, m is module.
Insert coefficient X2ExcursionI.e. in II circle and the point of intersection X of first paragraph matched curve2=0, in tooth top
At circleInsert coefficient X2Interpolation quantity fromIt is set to N2Individual value, this N2Individual point is fitted to second segment matched curve, β
It is tip relief curve coefficients.
The tip relief curve coefficients β is same value, and its determination method is:By adjusting β so that calculated by formula one
The first paragraph matched curve arrived is forming straight line close at outside circle in I circle section start formation circular curve.
The X1、X2Interpolation quantity N1、N2It is all higher than being equal to 200.
Compared with immediate prior art, the present invention possesses following beneficial effect:
1st, a kind of tooth top tip relief method for effectively improving loading capacity of engaged gear of the present invention, tip relief curve is divided into two sections,
Wherein tip relief amount C at first paragraph tip relief curve tooth topaαObtained by the equivalent weight torque condition calculating being subject to according to the gear, can effectively it prevent
Enter engagement caused by only gear is deformed after engaging for a long time in advance, cause the drawbacks such as vibration noise;
2nd, after first paragraph tip relief, tooth top does not have material above turning, eliminates tooth top corner when entering engagement
The drawbacks of hertz stress is too big.The second segment tip relief curve made on the basis of first paragraph tip relief curve makes to do again at tooth top
One curve transition, then allow into first point engaged and move down.When so entering back into engagement, engage above and below at the first point
There is material, corresponding hertz stress will reduce.The spot corrosion of correspondence meshing gear root and greyness phenomenon can all be greatly reduced,
Abrasion can also reduce, and improve service life;
3rd, by the combination of two sections of cavetto curves, the tip relief parameter of curve finally obtained can require to turn according to processing producer
Change other coordinate parameters into, tooth top tip relief is completed in gear grinding process, to ensure the precision of tip relief, it is desirable to which two sections of curves are inserted
It is worth quantity and is more than or equal to 200.By substantial amounts of simulation calculation and verification experimental verification, method of the invention is practical, and effectively carries
High loading capacity of engaged gear.
Brief description of the drawings
The tooth top tip relief schematic diagram that Fig. 1 provides for the present invention;
Fig. 2 is first paragraph tip relief curve synoptic diagram;
Fig. 3 is second segment tip relief curve synoptic diagram;
Fig. 4 is that tooth top tip relief finally obtains tooth form schematic diagram.
Marked in figure:1st, when minimum tooth participates in engagement on the flank of tooth involute peak, 2, I circle, 3, II circle, 4, tooth top
Circle, 5, flank of tooth involute, 6, first paragraph matched curve, 7, second segment matched curve, 8, the gear teeth.
Embodiment
To make the purpose of the present invention, content and advantage clearer, with reference to the accompanying drawings and examples, to the tool of the present invention
Body embodiment is described in further detail.
As shown in figure 1, a kind of tooth top tip relief method of raising involute cylindrical gear veneering bearing ability of the present invention, its
Tooth top tip relief curve is formed by two sections of tip relief curve combinations:First paragraph tip relief curve is fitted by first paragraph matched curve 6, and second
Duan Xiuyuan curves are fitted by second segment matched curve 7.
As shown in Fig. 2 first determining first paragraph matched curve 6:First paragraph matched curve 6 be one by minimum tooth participate in engage when
Curve on flank of tooth involute at peak 1 to outside circle 4.The first paragraph matched curve 6 is located at tip relief amount C at tooth topaα,FtIt is the nominal tangential force in gear face on reference circle, b is the working gear facewidth, CrIt is the gear teeth in end section
The average value of global stiffness is (referred to as:Mesh stiffness).The diameter Da of outside circle 4 of the gear teeth 8 of the gear, it is determined by gear parameter
It is fixed.If being I circle 2, I circle 2 and gear concentric, a diameter of D by the circle of the peak 11.Pass through profiling quantity calculation formula one
The N of the first paragraph matched curve 6 since I circle 2 to the correspondence of outside circle 4 on former flank of tooth involute 5 can be calculated1Individual point
Profiling quantity (profiling quantity is the regional value between first paragraph matched curve 6 and former flank of tooth involute 5), finally by this N1Individual point
It is fitted to first paragraph matched curve 6.The tip relief amount calculation formula one is:Formula
In, X1For insertion coefficient, its excursion 0~1, i.e., the X at I circle 21=0, the X at outside circle 41=1, interpolation quantity can be on demand
N is set from 0~11Individual value.It was found from calculating, profiling quantity increases with the increase of radius.β is tip relief curve coefficients, by adjusting
Rebuild edge curve coefficients β, so as to get first paragraph matched curve 6 circular curve is formed at peak 1, near outside circle 4
Place forms straight line.β value is generally 2-6.
As shown in figure 3, determining second segment matched curve 7 again:Second segment matched curve 7 is by the first paragraph matched curve
6 and II justify at 3 joining to outside circle 4.Wherein it is determined that the formula of II described circle 3 is:The diameter of II circle 3M is module in formula.II circle 3 and gear concentric.It can be calculated by profiling quantity calculation formula two
Second segment matched curve 7 corresponds to tip relief amount in diametric(al), and profiling quantity calculation formula two is:
In formula, X2For insertion coefficient, its excursionI.e. in II described circle 3 and the point of intersection X of first paragraph matched curve 62
=0, at outside circle 4Insert coefficient X2Interpolation quantity is set to N2;According to calculation formula two, it can calculate and obtain from II
Circle starts to outside circle correspondence the N on second segment tip relief curve2Point tip relief amount, this N2Individual point is fitted to second segment matched curve
7.Second segment matched curve 7 is obtained in diametric(al) correspondence tip relief amount by tip relief amount calculation formula two, tip relief amount is with radius
Increase and increase, tip relief direction is the tangential direction of basic circle.
As shown in Figure 1 and Figure 4, the region between first paragraph pitch curve 6 and involute curve is first paragraph matched curve 6
Correspondence tip relief amount;Region between second segment matched curve 7 and first paragraph matched curve 6, which is that second segment matched curve 7 is corresponding, repaiies
Edge amount.The tooth top tip relief curve of the gear teeth 8 finally given using the method is formed by two sections of tip relief curve combinations, first paragraph tip relief
Curve is fitted by first paragraph matched curve 6, i.e., when minimum tooth participates in engaging on flank of tooth involute peak 1, to II
Terminate at circle 3;Second segment tip relief curve is fitted by second segment matched curve 7, i.e. the friendship from II circle 3 and first paragraph pitch curve 6
Point starts, and terminates to outside circle 4.
In the profiling quantity calculation formula one and two, X1、X2Interpolation quantity N1、N2It is all higher than being equal to 200.
As shown in figure 4, I circle 2 is former involute curve 5 toward the gear centre direction flank of tooth, the circle 3 of I circle 2 to II is first
Duan Xiuyuan curves, II circle 3 to outside circle 4 is second segment tip relief curve, and tooth top tip relief curve of the invention is bent by first paragraph tip relief
Line and second segment tip relief curve composition.Whole tooth trace of the invention is inwardly repaiied from tooth top by second segment tip relief curve, first paragraph
Three sections of compositions of edge curve and involute curve.
Claims (9)
1. a kind of tooth top tip relief method for improving involute cylindrical gear veneering bearing ability, its tip diameter is Da;Its feature
It is:Tooth top tip relief curve is made up of first paragraph tip relief curve and second segment tip relief curve;The first paragraph tip relief curve is by
One section of matched curve fitting, second segment tip relief curve is fitted by second segment matched curve;The first paragraph tip relief curve is from most
Peak starts on the flank of tooth involute during few tooth participation engagement, to one with terminating at II circle of gear concentric;If by institute
State peak and be I circle with the circle of gear concentric;The second segment tip relief curve is from II circle and first paragraph pitch curve
Intersection point starts, and terminates to the outside circle;Final whole tooth trace is inwardly repaiied from tooth top by second segment tip relief curve, first paragraph
Three sections of compositions of edge curve and involute curve.
2. improving the tooth top tip relief method of involute cylindrical gear veneering bearing ability as claimed in claim 1, its feature exists
In:The first paragraph matched curve is in diametric(al) tip relief amount by the gained of formula one:
<mrow>
<msub>
<mi>Rilef</mi>
<mi>I</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
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<mi>C</mi>
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<mi>a</mi>
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<mi>&beta;</mi>
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<msubsup>
<mi>X</mi>
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<mi>&beta;</mi>
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</mrow>
</mrow>
</mfrac>
</mrow>
In formula one, CaαIt is first paragraph matched curve circumferencial direction tip relief amount at tooth top;X1For insertion coefficient;β is to repair
Edge curve coefficients.
3. improving the tooth top tip relief method of involute cylindrical gear veneering bearing ability as claimed in claim 2, its feature exists
In:It is describedFtIt is the nominal tangential force in gear face on reference circle, b is the working gear facewidth, CrIt is that end is cut
The average value of gear teeth global stiffness in face.
4. improving the tooth top tip relief method of involute cylindrical gear veneering bearing ability as claimed in claim 2, its feature exists
In:Insert coefficient X1Excursion 0~1, i.e., the X at I circle1=0, the X at outside circle1=1, X1Interpolation quantity from 0~1
If N1Individual value, this N1Individual point is fitted to first paragraph matched curve.
5. improving the tooth top tip relief method of involute cylindrical gear veneering bearing ability as claimed in claim 1, its feature exists
In:II diameter of a circleIn formula, m is module, and β is tip relief curve coefficients.
6. improving the tooth top tip relief method of involute cylindrical gear veneering bearing ability as claimed in claim 1, its feature exists
In:The second segment matched curve is in diametric(al) correspondence tip relief amount by the gained of formula two:
<mrow>
<msub>
<mi>Rilef</mi>
<mn>2</mn>
</msub>
<mo>=</mo>
<mfrac>
<msub>
<mi>X</mi>
<mn>2</mn>
</msub>
<mi>m</mi>
</mfrac>
<mrow>
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In formula two, X2For insertion coefficient, m is module.
7. improving the tooth top tip relief method of involute cylindrical gear veneering bearing ability as claimed in claim 5, its feature exists
In:Insert coefficient X2ExcursionI.e. in II circle and the point of intersection X of first paragraph matched curve2=0, at outside circleX2Interpolation quantity fromIt is set to N2Individual value, this N2Individual point is fitted to second segment matched curve, and β is tip relief curve
Coefficient.
8. the tooth top tip relief method of the raising involute cylindrical gear veneering bearing ability as described in claim 2,5 or 7, it is special
Levy and be, the tip relief curve coefficients β is same value, its determination method is:By adjusting β so that calculated by formula one
The first paragraph matched curve arrived is forming straight line close at outside circle in I circle section start formation circular curve.
9. the tooth top tip relief method of the raising involute cylindrical gear veneering bearing ability as described in claim 4 or 7, its feature
It is:The X1、X2Interpolation quantity N1、N2It is all higher than being equal to 200.
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CN201710467742.9A CN107255153B (en) | 2017-06-20 | 2017-06-20 | Tooth crest edge trimming method for improving bonding bearing capacity of involute cylindrical gear |
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CN201710467742.9A CN107255153B (en) | 2017-06-20 | 2017-06-20 | Tooth crest edge trimming method for improving bonding bearing capacity of involute cylindrical gear |
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CN107255153B CN107255153B (en) | 2021-02-23 |
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CN201710467742.9A Active CN107255153B (en) | 2017-06-20 | 2017-06-20 | Tooth crest edge trimming method for improving bonding bearing capacity of involute cylindrical gear |
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Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
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CN109854704A (en) * | 2019-01-21 | 2019-06-07 | 沈阳宏延冶金矿山机械有限责任公司 | The heavy load transmission final-stage gear pair of sliding bearing support |
CN112059082A (en) * | 2020-09-11 | 2020-12-11 | 汉德车桥(株洲)齿轮有限公司 | Involute spline key tooth modification design method and machining method and gear product thereof |
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US4754661A (en) * | 1985-06-15 | 1988-07-05 | Eaton Corporation | Limited slip differential |
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CN201992027U (en) * | 2011-02-25 | 2011-09-28 | 天地上海采掘装备科技有限公司 | Varied involute profile travelling wheel of coal mining machine |
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Title |
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Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN109854704A (en) * | 2019-01-21 | 2019-06-07 | 沈阳宏延冶金矿山机械有限责任公司 | The heavy load transmission final-stage gear pair of sliding bearing support |
CN112059082A (en) * | 2020-09-11 | 2020-12-11 | 汉德车桥(株洲)齿轮有限公司 | Involute spline key tooth modification design method and machining method and gear product thereof |
CN112059082B (en) * | 2020-09-11 | 2022-08-09 | 汉德车桥(株洲)齿轮有限公司 | Involute spline key tooth modification design method and machining method and gear product thereof |
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