CN104455315B - A kind of gear with special tooth profile curve - Google Patents
A kind of gear with special tooth profile curve Download PDFInfo
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- CN104455315B CN104455315B CN201410673820.7A CN201410673820A CN104455315B CN 104455315 B CN104455315 B CN 104455315B CN 201410673820 A CN201410673820 A CN 201410673820A CN 104455315 B CN104455315 B CN 104455315B
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- curve
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Classifications
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- 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
- F16H55/17—Toothed wheels
-
- 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
- F16H55/0826—Novikov-Wildhaber profile
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- Engineering & Computer Science (AREA)
- General Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Gears, Cams (AREA)
Abstract
The invention discloses a kind of gear with special tooth profile curve, the tip portion tooth curve of the gear is convex, the tooth curve of root portions is spill, the rodent population of gear pair engages for convex-concave arc, in the coordinate system O xy using gear centre as origin, tooth curve is obtained by gear parameter and profile's factories equation, the tooth curve obtains the end profile of gear after symmetrical and rotation transformation, the gear pair of gear formation is mutually conjugated and is the engagement of convex-concave arc.The present invention can be used in the gear-driven tooth Profile Design of larger load, and the bearing capacity of gear is greatly improved compared with involute, during using rack cutter or Rolling-cut shear, and process tool design is simple, and need to only process a cutter.The present invention is also used in the pair design of the gear with little teeth number of the number of teeth less (z≤6), to improve its bearing capacity.
Description
Technical field
The present invention relates to a kind of design of special tooth profile curved tooth cylindrical gear, belong to form of gear tooth design field.
Background technology
The tooth curve of general gear all uses involute, and this is due to that involute has that power transmission is steady, centre-to-centre spacing
It can divide and the advantages of easy processing.But its weak point is that the bearing capacity of gear pair is limited, and displacement, correction of the flank shape are proposed in
Its bearing capacity is improved etc. method, but in some special transmission occasions, can not still meet requirement.
For the deficiency of involute gear set forth above, people explore and devise wildhaber-novikov gear and Novikov gears with double circular arc tooth profiles again,
The engagement of double circular arc tooth wheel set is that the synthetic curvature at the engagement of convex-concave arc, contact point is small, and contact strength is high, improves to a certain extent
The intensity of gear.But Novikov gears with double circular arc tooth profiles exists to need to run could meet conjugation engagement, processing difficulties and to centre-to-centre spacing error with after
Sensitive the problems such as.
The content of the invention
In view of the above-mentioned problems, it is an object of the present invention to overcoming the shortcomings of existing tooth curve there is provided one kind with special
The gear of tooth curve, the driver such as the gear pair with tooth curve of the present invention is applied to more big load or number of gear teeth is less
In structure.
In order to solve the above-mentioned technical problem, a kind of gear with special tooth profile curve proposed by the present invention, the gear
Tip portion tooth curve is convex, and the tooth curve of root portions is spill, and the rodent population of gear pair engages for convex-concave arc,
In the coordinate system O-xy using gear centre as origin, profile's factories equation is：
Wherein：α is pressure angle,
For addendum coefficient, m is modulus, and r is pitch circle radius, and r=m (z+x), x is modification coefficient, and λ is to derive coefficient, λ ≠ 0,
The derivative coefficient is used for the convex-concave degree of tooth curve；The tooth curve obtains the end of gear after symmetrical and rotation transformation
Facial contour, the gear pair of gear formation is mutually conjugated and is the engagement of convex-concave arc.
Compared with prior art, the beneficial effects of the invention are as follows：
1. the gear pair with tooth curve of the present invention is convex-concave arc meshed gears pair, improved compared with involute gear
The tooth face contact fatigue strength of gear, is suitable for use in the occasion of bigger driven load.
2. compared with involute gear, the gear with tooth curve of the present invention, the sliding ratio of its gear engagement is small, the flank of tooth
It is not susceptible to abrasion, scuffing failure.
3. some characteristics with traditional Novikov gears with double circular arc tooth profiles, but compared compared with Double circular arc gear drive to centre-to-centre spacing change not
It is sensitive.
4. the secondary bearing capacity of the gear with tooth curve of the present invention, especially gear with little teeth number has obtained significantly carrying
It is high.
5. the expression formula of the tooth profile curve equation due to the intermeshing active and passive gear with tooth curve of the present invention
Unanimously, a pair can be processed with a rack cutter or gear hob can mutually conjugate gear.
6. in addition, involute is a kind of special circumstances of tooth curve of the present invention.
Brief description of the drawings
Fig. 1 is the tooth curve schematic diagram of gear of the present invention；
Fig. 2 is the gear pair schematic diagram with tooth curve of the present invention；
Fig. 3 is the secondary schematic diagram of the gear with little teeth number with tooth curve of the present invention.
Embodiment
The present invention is described in detail with reference to the accompanying drawings and examples, but not as any limit to the present invention
System.The present invention is utilized to tooth profile equation, not only needs to choose ordinary gear parameter during design, such as：The number of teeth, modulus, pressure
Power angle and modification coefficient etc., in addition it is also necessary to which derivative coefficient lambda (λ=0 item is involute profile) is chosen in design, and increasing for variable can have
Go out gear pair optimal under specified conditions beneficial to optimization design.
As shown in figure 1, a kind of gear with special tooth profile curve of the present invention, the tip portion tooth curve of the gear is
Convex, the tooth curve of root portions is spill, and the rodent population of gear pair engages for convex-concave arc, active and passive gear Meshing Pair
Flank profil has unified tooth curve expression formula, in the coordinate system O-xy using gear centre as origin, profile's factories side
Cheng Wei：
R is that pitch circle is straight
Footpath, x is modification coefficient, and λ is derivative coefficient, and λ ≠ 0, the derivative coefficient is used for the convex-concave degree of tooth curve.
There is related parameter to be in embodiment 1：
Above-mentioned parameter substitution profile's factories equation is obtained into tooth curve as shown in Figure 1, the tooth curve passes through
The end profile of gear that there is convex-concave arc feature from tooth top to tooth root is obtained after symmetrical and rotation transformation, above-mentioned tooth curve is used
Parametric equation, which can be designed that, can mutually be conjugated and for convex-concave arc meshed gears pair, as shown in Figure 2.
Using specific profile's factories equation in the present invention, and corresponding design parameter is chosen, design gear
Transverse profile curve is that can obtain the gear with special tooth profile curve, especially it is emphasised that：Derivative coefficient lambda is introduced in the present invention
Mainly consider enhancing Gear Contact fatigue strength, choose larger derivative coefficient lambda, Gear Contact fatigue can be further enhanced
Intensity.
As shown in figure 3, embodiment 2 is the application example of a gear with little teeth number, the gear parameter is as follows：M=1.75, z1=
3, z2=26, λ=0.18, little gear modification coefficient x1=0.8, gear wheel modification coefficient x2=-0.8, α=28 °,c*
=0.25.Be the same as Example 1, finally giving can mutually be conjugated and engage for convex-concave arc and have the gear pair of gear with little teeth number,
Because the gear with little teeth number number of teeth is few, the characteristic of big displacement and topping, tooth curve only uses the one of tooth curve of the present invention
Part.
In design of gears of the present invention with special tooth profile curve, first, using above-mentioned parameter using the tooth in the present invention
Wide curvilinear equation draws out tooth curve；Symmetry further according to open top container ship condition and gear draws out gear-profile curve
Second half；Using gear teeth characteristic uniform on gear shaft, the transverse profile of gear is obtained using coordinate transform.To gear
Fillet curve, is determined jointly by gear working method and cutter, and cutter teeth the top of the horn angle envelope institute is used in embodiment
The fillet curve obtained.
Although above in conjunction with accompanying drawing, invention has been described, and the invention is not limited in above-mentioned specific implementation
Mode, above-mentioned embodiment is only schematical, rather than restricted, and one of ordinary skill in the art is at this
Under the enlightenment of invention, without deviating from the spirit of the invention, many variations can also be made, these belong to the present invention's
Within protection.
Claims (1)
1. a kind of gear with special tooth profile curve, the tip portion tooth curve of the gear is convex, the tooth of root portions
Wide curve is spill, and the rodent population of gear pair engages for convex-concave arc, it is characterised in that：
In the coordinate system O-xy using gear centre as origin, profile's factories equation is：
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Wherein：α is pressure angle, For
Addendum coefficient, m is modulus, and r is pitch circle radius, and r=m (z+x), x is modification coefficient, and λ is derivative coefficient, and λ ≠ 0 should
Derivative coefficient is used for the convex-concave degree of tooth curve；The tooth curve obtains the end face of gear after symmetrical and rotation transformation
Profile, the gear pair of gear formation is mutually conjugated and is the engagement of convex-concave arc.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410673820.7A CN104455315B (en) | 2014-11-21 | 2014-11-21 | A kind of gear with special tooth profile curve |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410673820.7A CN104455315B (en) | 2014-11-21 | 2014-11-21 | A kind of gear with special tooth profile curve |
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| Publication Number | Publication Date |
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| CN104455315A CN104455315A (en) | 2015-03-25 |
| CN104455315B true CN104455315B (en) | 2017-08-22 |
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Families Citing this family (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105156636B (en) * | 2015-08-31 | 2018-05-22 | 重庆百花园齿轮传动技术研究所 | Double involute gear |
| CN107327559B (en) * | 2017-09-01 | 2023-04-07 | 西南大学 | Circular arc parabola multi-point contact helical gear |
| CN109241679B (en) * | 2018-10-26 | 2023-04-18 | 南京航空航天大学 | Equal relative curvature gear and design method thereof |
| CN113062961B (en) * | 2021-03-19 | 2022-07-26 | 南京航空航天大学 | Low-slip-rate gear and design method thereof |
Family Cites Families (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US3631736A (en) * | 1969-12-29 | 1972-01-04 | Illinois Tool Works | Gear tooth form |
| CN1047137A (en) * | 1990-04-13 | 1990-11-21 | 王国础 | Arc cylindrical gear and processing method |
| CN2298371Y (en) * | 1996-12-24 | 1998-11-25 | 中国纺织大学 | Convex-concave, convex-plane tooth face meshed gear pair |
| US20080115610A1 (en) * | 2006-11-21 | 2008-05-22 | Deere & Company | Tooth profile for a high contact ratio spur gear |
| CN202349153U (en) * | 2011-12-06 | 2012-07-25 | 许奉成 | Single-cut double-arc gear |
| CN204573003U (en) * | 2014-11-21 | 2015-08-19 | 天津大学 | A kind of gear with tooth profile curve |
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Address after: 300350 District, Jinnan District, Tianjin Haihe Education Park, 135 beautiful road, Beiyang campus of Tianjin University Patentee after: Tianjin University Address before: 300072 Tianjin City, Nankai District Wei Jin Road No. 92 Patentee before: Tianjin University |