CN102506148A - Shaping curve for tooth profile of straight-tooth bevel gear - Google Patents
Shaping curve for tooth profile of straight-tooth bevel gear Download PDFInfo
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- CN102506148A CN102506148A CN2011102986613A CN201110298661A CN102506148A CN 102506148 A CN102506148 A CN 102506148A CN 2011102986613 A CN2011102986613 A CN 2011102986613A CN 201110298661 A CN201110298661 A CN 201110298661A CN 102506148 A CN102506148 A CN 102506148A
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- tooth
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- bevel gear
- shaping
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Abstract
The invention discloses a shaping curve for a tooth profile of a straight-tooth bevel gear. The curve is an involute with a drum shape, wherein a starting point of the curve is coincided with the starting point of the equivalent involute on a back conical surface; an ending point is coincided with a tooth peak; and the maximum vertical distance ca the center of the involute with a drum shape is higher than the equivalent involute on the back conical surface is a shaping volume of the drum shape. According to the shape rule of the shaping curve for the tooth profile designed by the invention, the shaping curve is convenient for parametric shaping and is beneficial to industrialized production. The shaping is carried out at whole depth and the tooth surface is in smooth transition, so that the dynamic loading during engaging is efficiently reduced, the transmission stability of the straight-tooth bevel gear is directly improved and the transmission noise is reduced. The shaping curve provided by the invention is especially suitable for the tooth shape of the straight-tooth bevel gear of a heavy truck.
Description
Technical field
The present invention relates to a kind of gear-profile structural design, specifically, the present invention relates to a kind of straight bevel gear profile modification curve.
Background technique
The transverse tooth profile shape of conventional spur bevel gear is called as spherical involute.In the reality, sphere can not be launched into the plane, on sphere, asks to make involute profile and be difficult to, so the profile of tooth of conventional spur bevel gear substitutes with the profile of tooth of equivalent tooth on the back cone developed surface, this approximate spherical involute profile of tooth is simple, is easy to be shaped process.Shortcomings such as there is poor stability in the spur bevel gear mating engagement in the reality, and dynamic load is big, and noise is big, and bearing capacity is not strong.In order to overcome above-mentioned shortcoming; The technical research of relevant straight bevel gear flank profil aspect is more; The most representative is one piece " straight bevel gear profile modification " of 2007 the 7th phases " Machine Design " publication; To profile modification, its core technology is to be rotated around the correction of the flank shape starting point near the tooth top part at spherical involute to this technology through the rotation involute, and the correction of the flank shape starting point is the alternately point of monodentate engagement, bidentate engagement.Skid in order to prevent the straight bevel gear engagement, require contact ratio greater than 1, profiling quantity equals elastic deformation amount and base pitch error sum.Through above-mentioned technological improvement,, but still there is the difficult and difficult practical problem that realizes Accurate Shaping of tooth Profile Design although improved straight bevel gear engagement stationarity and reduced dynamic load.
Summary of the invention
The purpose of this invention is to provide a kind of easy realization Accurate Shaping, and when engagement dynamic load is low, noise is little straight bevel gear profile modification curve.
The present invention realizes technical goal through following technical proposals.
Straight bevel gear profile modification curve; Its improvements are: this curve is the involute of tape drum shape; Equivalent involute starting point overlaps on its starting point and the back cone; Terminating point overlaps with tooth end, and the maximum normal distance ca that the involute central authorities of tape drum shape exceed equivalent involute on the back cone is the cydariform profiling quantity, and the involute equation of tape drum shape is following:
d=rb+（ra-rb）×t
ang=(d
2-rb
2)
-2÷rb×180÷Π-cos
-1（rb/d）
angle=?cos
-1（rb÷d）
x=d×cos（ang）+ca×sin（180×t）×sin（angle）
y=d×sin（ang）-ca×sin（180×t）×cos（angle）
z=0。
In the equation ra be Outside radius, rb be Base radius, t from 0 change to 1, ca is the cydariform amount.
The present invention compared with prior art has following good effect:
1, profile modification curve shape rule is convenient to parametric modeling, and is easy to manufacture;
2, the profile modification curve carries out correction of the flank shape on whole depth, and the flank of tooth seamlessly transits, and dynamic load when effectively reducing engagement improves the Straight Bevel Gear Drive stationarity, and noise is low;
3, the peak ca of profile modification curve is positioned at flank of tooth middle part, eliminates the hollow phenomenon of the flank of tooth, improves contact strength of tooth surface.
Description of drawings
Fig. 1 be the profile modification curve in an embodiment with the contrast schematic representation of existing technology equivalent involute profile, sequence number 2 is profile modification curve of the present invention, sequence number 1 is an equivalent involute tooth deltoid.
Embodiment
According to accompanying drawing and combine embodiment, the present invention is described further below.
Straight bevel gear profile modification curve; It is characterized in that: this curve is the involute of tape drum shape; Equivalent involute starting point overlaps on its starting point and the back cone; Terminating point overlaps with tooth end, and the maximum normal distance ca that the involute central authorities of tape drum shape exceed equivalent involute on the back cone is the cydariform profiling quantity, and the involute equation of tape drum shape is following:
d=rb+（ra-rb）×t
ang=(d
2-rb
2)
-2÷rb×180÷Π-cos
-1（rb/d）
angle=?cos
-1（rb÷d）
x=d×cos（ang）+ca×sin（180×t）×sin（angle）
y=d×sin（ang）-ca×sin（180×t）×cos（angle）
z=0。
Embodiment 1
One bevel gear parameter is following: the number of teeth: 15, and modulus: 4.379, pressure angle 23o; Pitch cone angle 53.75 o, addendum 3.3, dedendum of the tooth 5.58; Face cone angle 60.7667 o, cydariform amount 0.05, equivalent tooth base circle radius r b=51.127 on the then big end back cone; Outside radius ra=58.842, in the PROE of mapping software, adopting following equation can generate the cydariform amount is 0.03 involute curve, equation is following:
d=51.127+（58.842-51.127）×t
ang=(d
2-51.127
2)
-2÷51.127×180÷Π-cos
-1（51.127/d）
angle=?cos
-1（51.127÷d）
x=d×cos（ang）+0.03×sin（180×t）×sin（angle）
y=d×sin（ang）-0.03×sin（180×t）×cos（angle）
z=0。
Embodiment 2
One bevel gear parameter is following: the number of teeth: 11, and modulus: 6.7, pressure angle 22.5o; Pitch cone angle 34.51 o, addendum 6.667, dedendum of the tooth 5.312; Face cone angle 41.4578 o, cydariform amount 0.05, equivalent tooth base circle radius r b=41.315 on the then big end back cone; Outside radius ra=51.3865, in the PROE of mapping software, adopting following equation can generate the cydariform amount is 0.05 involute curve, equation is following:
d=41.315+（51.3865-41.315）×t
ang=(d
2-41.315
2)
-2÷41.315×180÷Π-cos
-1（41.315/d）
angle=?cos
-1（41.315÷d）
x=d×cos（ang）+0.05×sin（180×t）×sin（angle）
y=d×sin（ang）-0.05×sin（180×t）×cos（angle）
z=0。
By the profile modification curve shape rule of the present invention's design, be convenient to parametrization appearance, help industrialized production.Owing on whole depth, carry out correction of the flank shape, the flank of tooth seamlessly transits, and directly improves the Straight Bevel Gear Drive balance, and reduces rotational noise.
Claims (1)
1. straight bevel gear profile modification curve; It is characterized in that: this curve is the involute of tape drum shape; Equivalent involute starting point overlaps on its starting point and the back cone; Terminating point overlaps with tooth end, and the maximum normal distance ca that the involute central authorities of tape drum shape exceed equivalent involute on the back cone is the cydariform profiling quantity, and the involute equation of tape drum shape is following:
d=rb+（ra-rb）×t
ang=(d
2-rb
2)
-2÷rb×180÷Π-cos
-1（rb/d）
angle=?cos
-1（rb÷d）
x=d×cos（ang）+ca×sin（180×t）×sin（angle）
y=d×sin（ang）-ca×sin（180×t）×cos（angle）
z=0。
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN2011102986613A CN102506148A (en) | 2011-09-28 | 2011-09-28 | Shaping curve for tooth profile of straight-tooth bevel gear |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN2011102986613A CN102506148A (en) | 2011-09-28 | 2011-09-28 | Shaping curve for tooth profile of straight-tooth bevel gear |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN102506148A true CN102506148A (en) | 2012-06-20 |
Family
ID=46218266
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN2011102986613A Pending CN102506148A (en) | 2011-09-28 | 2011-09-28 | Shaping curve for tooth profile of straight-tooth bevel gear |
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103557303A (en) * | 2013-11-05 | 2014-02-05 | 安徽江淮汽车股份有限公司 | Abrasion-test-based micro profile modification design method for gear and abrasion test bed |
| CN103727204A (en) * | 2013-12-27 | 2014-04-16 | 太原科技大学 | Determination method for profiling range and profiling curve of cycloidal gear of gerotor motor |
| CN106295015A (en) * | 2016-08-12 | 2017-01-04 | 山东科技大学 | The profile modification method of a kind of involute spur gear pair and the special parameters CAD system supporting with it |
| CN106704544A (en) * | 2016-12-20 | 2017-05-24 | 大连名阳实业有限公司 | Shape correction method for reducing noise or abnormal sound of gears |
| CN109766510A (en) * | 2019-01-24 | 2019-05-17 | 桂林福达齿轮有限公司 | A kind of flank of tooth repairing type method of epicycloid spiral bevel gear |
| CN111975131A (en) * | 2020-07-23 | 2020-11-24 | 湖南中大创远数控装备有限公司 | Non-generating method based tooth end shaping method for machining spiral bevel gear |
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| CN101328967A (en) * | 2007-06-22 | 2008-12-24 | 李远庆 | Pure rolling engaged cycloidal gear transmission |
| CN101476614A (en) * | 2009-01-20 | 2009-07-08 | 河南科技大学 | Straight line-involute profile inner-gearing cylindrical gear pair |
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2011
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| CN101328967A (en) * | 2007-06-22 | 2008-12-24 | 李远庆 | Pure rolling engaged cycloidal gear transmission |
| CN101476614A (en) * | 2009-01-20 | 2009-07-08 | 河南科技大学 | Straight line-involute profile inner-gearing cylindrical gear pair |
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Cited By (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103557303A (en) * | 2013-11-05 | 2014-02-05 | 安徽江淮汽车股份有限公司 | Abrasion-test-based micro profile modification design method for gear and abrasion test bed |
| CN103557303B (en) * | 2013-11-05 | 2016-01-06 | 安徽江淮汽车股份有限公司 | Based on gear microcosmic modification design method and the abrasion test stand of abrasion test |
| CN103727204A (en) * | 2013-12-27 | 2014-04-16 | 太原科技大学 | Determination method for profiling range and profiling curve of cycloidal gear of gerotor motor |
| CN103727204B (en) * | 2013-12-27 | 2017-01-25 | 太原科技大学 | Profiling method for cycloidal gear of gerotor motor |
| CN106295015A (en) * | 2016-08-12 | 2017-01-04 | 山东科技大学 | The profile modification method of a kind of involute spur gear pair and the special parameters CAD system supporting with it |
| CN106295015B (en) * | 2016-08-12 | 2019-04-09 | 山东科技大学 | A kind of profile modification method of involute spur gear pair and special parameters CAD system matched with its |
| CN106704544A (en) * | 2016-12-20 | 2017-05-24 | 大连名阳实业有限公司 | Shape correction method for reducing noise or abnormal sound of gears |
| CN109766510A (en) * | 2019-01-24 | 2019-05-17 | 桂林福达齿轮有限公司 | A kind of flank of tooth repairing type method of epicycloid spiral bevel gear |
| CN111975131A (en) * | 2020-07-23 | 2020-11-24 | 湖南中大创远数控装备有限公司 | Non-generating method based tooth end shaping method for machining spiral bevel gear |
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Application publication date: 20120620 |