CN101182879A - Antisymmetric involute plastic gear - Google Patents

Antisymmetric involute plastic gear Download PDF

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Publication number
CN101182879A
CN101182879A CNA2007101854841A CN200710185484A CN101182879A CN 101182879 A CN101182879 A CN 101182879A CN A2007101854841 A CNA2007101854841 A CN A2007101854841A CN 200710185484 A CN200710185484 A CN 200710185484A CN 101182879 A CN101182879 A CN 101182879A
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pressure angle
involute
circle
involute profile
diameter
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CN100476258C (en
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郝瑞贤
李元宗
李威
陈新国
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Taiyuan University of Technology
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Taiyuan University of Technology
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Abstract

The invention provides a dissymmetrical involute plastic gear, which belongs to the machine manufacturing field. The invention is characterized in that the technical proposal of the invention is that unsymmetrical involute profiles are adopted on both sides of the gear teeth of the plastic gear, the pressure angles on both sides of the gear teeth are unequal and the involute profile 4 of the larger pressure angle is taken as the working side; the tooth of the gear consists of a dedendum circle 1, the larger pressure angle involute profile 4 generated by a minor diameter base circle 2, the small pressure angle involute profile 6 generated by a major diameter base circle 3, a tooth top 5 and a transition curve 7. By comparing with the prior symmetrical involute plastic gear, the carrying capacity of the invention is improved, the service temperature is reduced and the service life is prolonged. Accordingly, the invention has wide application prospect and considerable economic benefits.

Description

A kind of asymmetric involute plastic gear
Technical field
A kind of asymmetric involute plastic gear of the present invention belongs to mechanical manufacturing field, specifically, is the technological scheme that asymmetric involute profile has been adopted in a kind of both sides in Plastic Gear tooth.
Background technique
Gear transmission is most widely used a kind of kind of drive in the mechanical transmission.Since nineteen thirty-five is succeeded in developing fiber nylon, the high molecular synthetic material industrial boom, plastics have obtained using widely as a kind of novel gear material.At present, the profile of tooth of plastic gear is symmetry shape, is from unique pressure angle, promptly has only a basic circle to set out to design.More with the standard flank profil promptly adopted pressure angle of graduated circle α=20 °, addendum coefficient h a *=1 form; (α＞20 °, the h that adopt non-standard flank profil are also arranged a *＜1), α=25 ° for example, h a *=0.8.The major defect of this plastic gear is that bearing capacity is low, poor heat resistance etc.Bearing capacity and reduction serviceability temperature in order to improve plastic gear often adopt filler modified method, do not only trouble, cost height like this, but also can bring some new problems.For example, can flow the front concourse in injection moulding during moulding and produce the overlap joint line, cause the tooth surface distortion and on gear, produce some local weak spots, and the plastic gear made of this mode is more easy to wear etc. in lifetime.
Summary of the invention
A kind of asymmetric involute plastic gear purpose of the present invention is, solve above-mentioned problems of the prior art, thereby it is unequal and use the technological scheme of large pressure angle involute profile as the asymmetric involute plastic gear of active side to disclose a kind of pressure angle that makes gear teeth both sides.
A kind of asymmetric involute plastic gear of the present invention, it is characterized in that it being that a kind of pressure angle that makes gear teeth both sides is unequal and use the asymmetric involute plastic gear of large pressure angle involute profile as active side, little pressure angle involute profile 6, tooth top 5 and the transition curve 7 that the large pressure angle involute profile 4 that this tooth-formation of gear is generated by root circle 1, minor diameter basic circle 2, major diameter basic circle 3 generate form the pressure angle of graduated circle α of large pressure angle involute profile 4 1Pressure angle of graduated circle α with little pressure angle involute profile 6 2Unequal, i.e. α 1≠ α 2And α 1+ α 2＜60 °, at α 1＞α 2And α 1+ α 2Under＜60 ° the situation, α 1In 15 °～45 ° scopes, α 2In 14.5 °～29.5 ° scopes; The shape of large pressure angle involute profile 4 and little pressure angle involute profile 6 is to be determined by base circle diameter (BCD) separately, and its formula is respectively: the diameter d of minor diameter basic circle 2 B1=mzcos α 1The diameter d of millimeter, major diameter basic circle 3 B2=mzcos α 2Millimeter, wherein m is a modulus, chooses or chooses by actual demand by NBS series; Z is the number of teeth, determines according to actual needs; The diameter of tooth top 5 is d a=(z+2h A1 *) m millimeter, wherein h A1 *Be the addendum coefficient of large pressure angle involute profile 4 sides, h A1 *=1, the thickness of tooth top 5 is S a=d B1M aMillimeter, wherein m aBe the thick coefficient of tooth top, m aSpan be (0.25～0.4)/z; Transition curve 7 is to link to each other with the involute profile of two adjacent teeth and the one whole section circular arc tangent with root circle 1; The diameter d of root circle 1 f=(z-2h A1 *-2c 1 *) m=(z-2h A2 *-2c 2 *) the m millimeter, wherein, c 1 *Be the radial clearance coefficient of large pressure angle involute profile 4 sides, c 1 *Span be 0.3～0.45; h A2 *Be the addendum coefficient of little pressure angle involute profile 6 sides, h A2 *Span be 0.85～1.0; c 2 *Be the radial clearance coefficient of little pressure angle involute profile 6 sides, c 2 *Value by formula c 2 *=h A1 *+ c 1 *-h A2 *Determine.
Above-mentioned a kind of asymmetric involute plastic gear is characterized in that described pressure angle of graduated circle is at α 2＞α 1And α 1+ α 2Under＜60 ° the situation, α 2In 15 °～45 ° scopes, α 1In 14.5 °～29.5 ° scopes.
The advantage of a kind of asymmetric involute plastic gear of the present invention is:
1 compares with existing symmetrical involute plastic gear
The pressure angle of the gear teeth of the present invention both sides is unequal and use the large pressure angle involute profile as active side, compare with existing symmetrical involute plastic gear, the present invention has improved bearing capacity and has reduced serviceability temperature, has prolonged working life, has broad application prospects.
2 compare with metal gear
The present invention compares with metal gear, and simplified processing process is enhanced productivity greatly, reduces cost.Plastic gear has elasticity preferably, and absorbing, protecting against shock effect are arranged, few, the stable drive of noise in operating.Because the elastic energy of gear teeth compensation processing and assembly error, so the required precision of making and assembling can reduce; Because the wear resistance of plastics is good, when using, can prolongs wear-out life, and can save a large amount of Cuprum alloys and high-quality steel with the metal gear pairing.Plastic gear can also absorb the effect of impulsive load by deflection distortion, and the localised load that can disperse axis deviation and side set to cause preferably changes.The plastic gear application is wideer than metal gear, so they have promoted gear, and the direction of high load, the bigger power of transmission develops towards bearing more.
Description of drawings
Fig. 1 is the schematic representation of the asymmetric involute plastic gear of the present invention profile of tooth
Among the figure: 1: root circle 2: minor diameter basic circle 3: major diameter basic circle 4: large pressure angle involute profile 5: tooth top 6: little pressure angle involute profile 7: transition curve
Embodiment
Mode of execution 1
Little pressure angle involute profile 6, tooth top 5 and transition curve 7 that the large pressure angle involute profile 4 that tooth-formation of gear is generated by root circle 1, minor diameter basic circle 2, major diameter basic circle 3 generate are formed.
For α 1＞α 2The time:
By α 1=15 °, α 2=14.5 °, m=1.25, z=24, h A1 *=1.0, h A2 *=0.95, c 1 *=0.35, c 2 *=0.4, m a=0.4/24=0.0167.
Get d B1=mzcos α 1=1.25 * 24cos15 °=28.98 (mm)
d b2＝mzcosα 2＝1.25×24cos14.5°＝29.04(mm)
d a＝(z+2h a1 *)m＝(24+2×1)×1.25＝32.5(mm)
S a＝d b1·m a＝28.98×0.0167＝0.483966(mm)
d f＝(z-2h a1 *-2c 1 *)m＝(24-2×1-2×0.35)×1.25＝26.625(mm)
According to base circle diameter (BCD) d B1And d B2Make same benchmark, large pressure angle involute profile 4 and little pressure angle involute profile 6 that direction is opposite, in the diameter d of tooth top 5 aOn measure the arc length 1.2132mm between these two involutes, according to the thickness S of tooth top 5 a, determine and draw out a profile of tooth.Because the diameter d of root circle 1 fDiameter d less than minor diameter basic circle 2 B1While is less than the diameter d of major diameter basic circle 3 B2So the large pressure angle involute profile 4 and the little pressure angle involute profile 6 that form all are made up of two-part: between minor diameter basic circle 2 and the tooth top 5, all be involute between major diameter basic circle 3 and the tooth top 5; Between root circle 1 and the minor diameter basic circle 2, be the approximate curve of one section involute between root circle 1 and the major diameter basic circle 3, transition curve 7 is and root circle 1 one whole section circular arc tangent and that link to each other with the involute profile of adjacent teeth.
Mode of execution 2
For α 1＞α 2The time:
By α 1=30 °, α 2=14.5 °, m=1.25, z=24, h A1 *=1.0, h A2 *=0.90, c 1 *=0.3, c 2 *=0.4, m a=0.325/24=0.0135.
Get d B1=mzcos α 1=1.25 * 24cos30 °=25.98 (mm)
d b2＝mzcosα 2＝1.25×24cos14.5°＝29.04(mm)
d a＝(z+2h a1 *)m＝(24+2×1)×1.25＝32.5(mm)
S a＝d b1·m a＝25.98×0.0135＝0.35073(mm)
d f＝(z-2h a1 *-2c 1 *)m＝(24-2×1-2×0.3)×1.25＝26.75(mm)
Diameter d at tooth top 5 aOn measure the arc length 2.3364mm between two involutes.Because the diameter d of root circle 1 fDiameter d greater than minor diameter basic circle 2 B1So the large pressure angle involute profile 4 that forms is involute fully; Because the diameter d of root circle 1 fDiameter d less than major diameter basic circle 3 B2So the little pressure angle involute profile 6 that forms is divided into two-part: between major diameter basic circle 3 and the tooth top 5 is involute; Be the approximate curve of one section involute between root circle 1 and the major diameter basic circle 3, transition curve 7 is and root circle 1 one whole section circular arc tangent and that link to each other with the involute profile of adjacent teeth.Other is with mode of execution 1.
Mode of execution 3
For α 1＞α 2The time:
By α 1=45 °, α 2=14.5 °, m=1.25, z=24, h A1 *=1.0, h A2 *=1.0, c 1 *=0.45, c 2 *=0.45, m a=0.25/24=0.0104.
Get d B1=mzcos α 1=1.25 * 24cos45 °=21.21 (mm)
d b2＝mzcosα 2＝1.25×24cos14.5°＝29.04(mm)
d a＝(z+2ha1 *)m＝(24+2×1)×1.25＝32.5(mm)
S a＝d b1·m a＝21.21×0.0104＝0.220584(mm)
d f＝(z-2h a1 *-2c 1 *)m＝(24-2×1-2×0.45)×1.25＝26.375(mm)
Diameter d at tooth top 5 aOn measure the arc length 5.4899mm between two involutes.Because the diameter d of root circle 1 fDiameter d greater than minor diameter basic circle 2 B1So the large pressure angle involute profile 4 that forms is involute fully; Because the diameter d of root circle 1 fDiameter d less than major diameter basic circle 3 B2So the little pressure angle involute profile 6 that forms is divided into two-part: between major diameter basic circle 3 and the tooth top 5 is involute; Be the approximate curve of one section involute between root circle 1 and the major diameter basic circle 3, transition curve 7 is and root circle 1 one whole section circular arc tangent and that link to each other with the involute profile of adjacent teeth.Other is with mode of execution 1.
Mode of execution 4
For α 1＞α 2The time:
By α 1=30 °, α 2=29.5 °, m=1.25, z=24, h A1 *=1.0, h A2 *=0.95, c 1 *=0.35, c 2 *=0.4, m a=0.325/24=0.0135.
Get d B1=mzcos α 1=1.25 * 24cos30 °=25.98 (mm)
d b2＝mzcosα 2＝1.25×24cos29.5°＝26.11(mm)
d a＝(z+2ha1 *)m＝(24+2×1)×1.25＝32.5(mm)
S a＝d b1·m a＝25.98×0.0135＝0.35073(mm)
d f＝(z-2h a1 *-2 c1 *)m＝(24-2×1-2×0.35)×1.25＝26.625(mm)
Diameter d at tooth top 5 aOn measure the arc length 3.4178mm between two involutes.Because the diameter d of root circle 1 fDiameter d greater than minor diameter basic circle 2 B1While is greater than the diameter d of major diameter basic circle 3 B2So the large pressure angle involute profile 4 and the little pressure angle involute profile 6 that form all are involute fully, transition curve 7 is and root circle 1 one whole section circular arc tangent and that link to each other with the involute profile of adjacent teeth.Other is with mode of execution 1.
Mode of execution 5
For α 1＞α 2The time:
By α 2=20 °, α 1=35 °, m=1.5, z=20, h A1 *=1.0, h A2 *=0.85, c 1 *=0.35, c 2 *=0.5, m a=0.36/24=0.015.
Get d B1=mzcos α 1=1.5 * 20cos35 °=24.575 (mm)
d b2＝mzcosα 2＝1.5×20cos20°＝28.19(mm)
d a＝(z+2h a1 *)m＝(20+2×1)×1.5＝33(mm)
S a＝d b1·m a＝24.575×0.015＝0.3686(mm)
d f＝(z-2h a1 *-2c 1 *)m＝(20-2×1-2×0.35)×1.5＝25.95(mm)
Diameter d at tooth top 5 aOn measure the arc length 3.3288mm between two involutes.Because the diameter d of root circle 1 fDiameter d greater than minor diameter basic circle 2 B1So the large pressure angle involute profile 4 that forms is involute fully; Because the diameter d of root circle 1 fDiameter d less than major diameter basic circle 3 B2So the little pressure angle involute profile 6 that forms is divided into two-part: between major diameter basic circle 3 and the tooth top 5 is involute; Be the approximate curve of one section involute between root circle 1 and the major diameter basic circle 3, transition curve 6 is and root circle 1 one whole section circular arc tangent and that link to each other with the involute profile of adjacent teeth.Other is with mode of execution 1.
Mode of execution 6
For α 2＞α 1, only needing size exchange with pressure angle of graduated circle, other is with mode of execution 1～5.

Claims (2)

1. asymmetric involute plastic gear, it is characterized in that it being that a kind of pressure angle that makes gear teeth both sides is unequal and use the asymmetric involute plastic gear of large pressure angle involute profile as active side, little pressure angle involute profile (6), tooth top (5) and transition curve (7) that the large pressure angle involute profile (4) that this tooth-formation of gear is generated by root circle (1), minor diameter basic circle (2), major diameter basic circle (3) generate are formed the pressure angle of graduated circle α of large pressure angle involute profile (4) 1Pressure angle of graduated circle α with little pressure angle involute profile (6) 2Unequal, i.e. α 1≠ α 2And α 1+ α 2＜60 °, at α 1＞α 2And α 1+ α 2Under＜60 ° the situation, α 1In 15 °～45 ° scopes, α 2In 14.5 °～29.5 ° scopes; The shape of large pressure angle involute profile (4) and little pressure angle involute profile (6) is to be determined by base circle diameter (BCD) separately, and its formula is respectively: the diameter d of minor diameter basic circle (2) B1=mzcos α 1The diameter d of millimeter, major diameter basic circle (3) B2=mzcos α 2Millimeter, wherein m is a modulus, chooses or chooses by actual demand by NBS series; Z is the number of teeth, determines according to actual needs; The diameter of tooth top (5) is d a=(z+2h A1 *) m millimeter, wherein h A1 *Be the addendum coefficient of large pressure angle involute profile 4 sides, h A1 *=1, the thickness of tooth top 5 is S a=d B1M aMillimeter, wherein m aBe the thick coefficient of tooth top, m aSpan be (0.25～0.4)/z; Transition curve (7) is to link to each other with the involute profile of two adjacent teeth and the one whole section circular arc tangent with root circle 1; The diameter d of root circle (1) f=(z-2h A1 *-2c 1 *) m=(z-2h A2 *-2c 2 *) the m millimeter, wherein, c 1 *Be the radial clearance coefficient of large pressure angle involute profile (4) side, c 1 *Span be 0.3～0.45; h A2 *Be the addendum coefficient of little pressure angle involute profile (6) side, h A2 *Span be 0.85～1.0; c 2 *Be the radial clearance coefficient of little pressure angle involute profile (6) side, c 2 *Value by formula c 2 *=h A1 *+ c 1 *-h A2 *Really Beijing is fixed.
2. according to the described a kind of asymmetric involute plastic gear of claim 1, it is characterized in that described pressure angle of graduated circle is at α 2＞α 1And α 1+ α 2Under＜60 ° the situation, α 2In 15 °～45 ° scopes, α 1In 14.5 °～29.5 ° scopes.
CNB2007101854841A 2007-12-21 2007-12-21 Antisymmetric involute plastic gear Expired - Fee Related CN100476258C (en)

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Cited By (11)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102155528A (en) * 2011-03-08 2011-08-17 江苏技术师范学院 Plastic cone gear
CN102330805A (en) * 2011-11-07 2012-01-25 上海师范大学 Novel straight-tooth bevel gear
CN102359569A (en) * 2011-09-09 2012-02-22 江苏飞船股份有限公司 Teeth part strengthening structure of spiral bevel gear
CN102392799A (en) * 2010-06-29 2012-03-28 西门子公司 Planetary gear transmission mechanism for wind driven power generating equipment
CN101709729B (en) * 2009-10-10 2012-07-04 镇江液压件厂有限责任公司 Cycloidal engagement pair with uniform-gap engagement of full hydraulic steering gear and processing method thereof
CN104889501A (en) * 2015-06-08 2015-09-09 南车戚墅堰机车车辆工艺研究所有限公司 Non-full-symmetry involute gear, gear cutting hob special for same, and machining method of non-full-symmetry involute gear
CN104896061A (en) * 2015-06-08 2015-09-09 南车戚墅堰机车车辆工艺研究所有限公司 Non-full-symmetry involute gear and machining method thereof
CN105074281A (en) * 2013-03-21 2015-11-18 福伊特专利有限公司 Toothing of a gearwheel
WO2016197905A1 (en) * 2015-06-08 2016-12-15 中车戚墅堰机车车辆工艺研究所有限公司 Gear-cutting hob and designing method therefor, and non-fully-symmetric involute gear and machining method therefor
CN106461056A (en) * 2014-06-17 2017-02-22 马里奥·安东尼奥·莫尔塞利 Monodirectionally torque-transmitting toothed gearing
CN116161555A (en) * 2023-04-25 2023-05-26 山西克明峻德科技有限公司 Pulley capable of warning abrasion degree of wheel groove and processing method thereof

Cited By (17)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101709729B (en) * 2009-10-10 2012-07-04 镇江液压件厂有限责任公司 Cycloidal engagement pair with uniform-gap engagement of full hydraulic steering gear and processing method thereof
CN102392799A (en) * 2010-06-29 2012-03-28 西门子公司 Planetary gear transmission mechanism for wind driven power generating equipment
CN102392799B (en) * 2010-06-29 2016-03-02 西门子公司 For the planetary gear mechanism of wind power plant
CN102155528A (en) * 2011-03-08 2011-08-17 江苏技术师范学院 Plastic cone gear
CN102359569A (en) * 2011-09-09 2012-02-22 江苏飞船股份有限公司 Teeth part strengthening structure of spiral bevel gear
CN102330805A (en) * 2011-11-07 2012-01-25 上海师范大学 Novel straight-tooth bevel gear
CN102330805B (en) * 2011-11-07 2014-04-02 上海师范大学 Straight-tooth bevel gear
CN105074281A (en) * 2013-03-21 2015-11-18 福伊特专利有限公司 Toothing of a gearwheel
CN106461056A (en) * 2014-06-17 2017-02-22 马里奥·安东尼奥·莫尔塞利 Monodirectionally torque-transmitting toothed gearing
CN104896061A (en) * 2015-06-08 2015-09-09 南车戚墅堰机车车辆工艺研究所有限公司 Non-full-symmetry involute gear and machining method thereof
CN104889501A (en) * 2015-06-08 2015-09-09 南车戚墅堰机车车辆工艺研究所有限公司 Non-full-symmetry involute gear, gear cutting hob special for same, and machining method of non-full-symmetry involute gear
WO2016197909A1 (en) * 2015-06-08 2016-12-15 中车戚墅堰机车车辆工艺研究所有限公司 Non-fully-symmetric involute gear and machining method therefor
WO2016197905A1 (en) * 2015-06-08 2016-12-15 中车戚墅堰机车车辆工艺研究所有限公司 Gear-cutting hob and designing method therefor, and non-fully-symmetric involute gear and machining method therefor
CN104889501B (en) * 2015-06-08 2017-04-12 南车戚墅堰机车车辆工艺研究所有限公司 Non-full-symmetry involute gear, gear cutting hob special for same, and machining method of non-full-symmetry involute gear
CN104896061B (en) * 2015-06-08 2017-05-24 中车戚墅堰机车车辆工艺研究所有限公司 Non-full-symmetry involute gear and machining method thereof
CN116161555A (en) * 2023-04-25 2023-05-26 山西克明峻德科技有限公司 Pulley capable of warning abrasion degree of wheel groove and processing method thereof
CN116161555B (en) * 2023-04-25 2023-07-21 山西克明峻德科技有限公司 Pulley capable of warning abrasion degree of wheel groove and processing method thereof

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