CN202048161U - Involute helical gear - Google Patents

Involute helical gear Download PDF

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Publication number
CN202048161U
CN202048161U CN2011200574012U CN201120057401U CN202048161U CN 202048161 U CN202048161 U CN 202048161U CN 2011200574012 U CN2011200574012 U CN 2011200574012U CN 201120057401 U CN201120057401 U CN 201120057401U CN 202048161 U CN202048161 U CN 202048161U
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helical gear
involute helical
alpha
tan
gear
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李秀莲
王贵成
赵景波
朱福先
王志
周金宇
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Jiangsu University of Technology
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Jiangsu University of Technology
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Abstract

The utility model provides an involute helical gear, not only can increase the fatigue resistance of the dedendum, but also substantially has no influence to the shock resistance. The utility model is characterized in that: the tooth profile pressure angles on both sides of the gear tooth of the involute helical gear are not equal; the tooth surface with a larger pressure angle is used as an engaging surface, the tooth surface with a smaller pressure angle is used as an non-engaging surface. The gear is a profile shifted involute helical gear with unequal tooth profile curved surface pressure angles on both sides of a tooth. According to the tooth profile curved surface generation characteristics of an involute helical roller gear, the utility model provides the design philosophy of the involute helical roller gear with unequal tooth profile curved surface pressure angles on both sides of a tooth, and deduces the formulas for calculating the geometric parameters and dimensions of the gear in profile shifted machining. Compared with conventional involute helical roller gear, the involute helical roller gear of the utility model achieves the advantages of high bearing capacity, small volume, light weight, long service life and low noise.

Description

A kind of involute helical gear
Technical field
The utility model relates to the technical field of design of gears, specifically is a kind of involute helical gear.
Background technique
Gear transmission is big because of having power, the efficient height, and advantages such as life-span length, and be widely used.The quality of its performance and quality finally has influence on the quality height of engineening goods, therefore, for adapting to the fast development of big production of modernization and science and technology, requires gear-driven performance to continue to optimize.Especially since nearly many decades,, remarkable progress has been arranged all in each side such as gear meshing theory, bearing capacity calculating and test, vibration and noise, new gear transmissions.
Gear teeth shape not only has influence on the kinetic characteristic of gear pair, also has influence on the dynamic property of gear pair.For complying with the big development trend of producing of modernization, people constantly probe into the tooth profile profile of tooth.Studies show that the pressure angle that increases gear can improve the tooth root bending fatigue strength.Involute helical gear commonly used, because the carrying situation of working flank, non-working flank is different with the engagement situation, if increase the pressure angle of gear both sides simultaneously, will cause the tooth top attenuation, the possibility of broken teeth increases, and promptly the shock resistance of the gear teeth will descend.
The model utility content
Technical problem to be solved in the utility model provides a kind ofly can improve the tooth root fatigue resistance, do not influence the involute helical gear of its shock resistance substantially again.
For solving the problems of the technologies described above, the utility model provides a kind of involute helical gear, be characterized in: the flank profil pressure angle of the gear teeth both sides of this involute helical gear is unequal, and the bigger flank of tooth of pressure angle is Surface of action, and the less flank of tooth of pressure angle is non-Surface of action.
The formation of the non-engagement side flank profil curved surface of involute helical gear: with line segment r BcBe radius first base cylinder of involute helical gear that draws, and exist the first generating plane Q and first base cylinder tangent, the angle of the first line segment KK on the first generating plane Q and the axis of first base cylinder is β Bc≠ 0, when the first generating plane Q when first base cylinder is done nonslipping pure rolling, the track of the first line segment KK is the right flank of involute helical gear (non-engagement side flank profil curved surface);
The formation of the engagement side flank profil curved surface of involute helical gear: with line segment r BdFor radius is made second base cylinder of involute helical gear, wherein, r Bc/ r Bd=1~1.36; And exist the second generating plane P and second base cylinder tangent, the angle of the second line segment MM on the second generating plane P and the axis of second base cylinder is β Bd≠ 0, when the second generating plane P when second base cylinder is done nonslipping pure rolling, the track of the second line segment MM is the left flank of involute helical gear (engagement side flank profil curved surface).
The utlity model has positive effect: (1) gear of the present utility model is involute helical gear displacement, that gear teeth both sides flank profil curved surface pressure angle does not wait, generation characteristics according to involute helical gear flank profil curved surface, provide the involute helical gear design philosophy that gear teeth both sides flank profil curved surface pressure angle does not wait, and derive under the displacement processing situation gear geometric parameter and size calculation formula.Gear teeth both sides flank profil pressure angle does not wait compared with prior art, and as shown in Figure 5, the flank profil both sides can reduce the volume and weight of gear when adopting the unequal pressure angle.With respect to the involute helical gear of routine, advantage such as these novel involute helical gear have that bearing capacity is big, volume is little, light weight, long service life, noise are little.(2) the utility model proposes the flank profil curved surface that does not wait at working pressure angle, the both sides of the helical gear gear teeth, and carry out the method that displacement is handled.The characteristics of involute helical gear of the present utility model are: by using the base cylinder of different-diameter size, generate the flank profil curved surface at different pressures angle in the both sides of involute helical gear; And design the physical dimension of modified gear according to need of work.
Description of drawings
Fig. 1 is the structural representation of involute helical gear of the present utility model;
Fig. 2 is the profile of tooth figure of the involute helical gear among Fig. 1; Reference character among the figure: 1--top circle, 2--standard pitch circle, 3--first base cylinder, 4--root circle, 5--second base cylinder, 6--left flank, 7--right flank;
Fig. 3 is the generation schematic representation of the engagement side flank profil curved surface (also being the left side involute profile) of the involute helical gear among Fig. 2;
Fig. 4 is the generation schematic representation of the non-engagement side flank profil curved surface (also being the right side involute profile) of the involute helical gear among Fig. 2;
Fig. 5 is the contrast schematic representation of the profile of tooth 9 of the profile of tooth 8 of involute helical gear of the prior art and involute helical gear of the present utility model.
Embodiment
See Fig. 1-2, the profile of tooth of the involute helical gear of present embodiment mainly comprises the left flank 6 that tooth top 1, second base cylinder 5 generate, right flank 7 and the tooth root 4 that first base cylinder 3 generates.During working gear, the left flank 6 that pressure angle is big participates in engagement, and the right flank 7 that pressure angle is little does not participate in engagement.
The formation of the non-engagement side flank profil curved surface of involute helical gear: with line segment r BcBe radius first base cylinder of involute helical gear that draws, and exist the first generating plane Q and first base cylinder tangent, the angle of the first line segment KK on the first generating plane Q and the axis of first base cylinder is β Bc≠ 0, when the first generating plane Q when first base cylinder is done nonslipping pure rolling, the track of the first line segment KK is the right flank 7 (non-engagement side flank profil curved surface) of involute helical gear;
The formation of the engagement side flank profil curved surface of involute helical gear: with line segment r BdFor radius is made second base cylinder of involute helical gear, wherein, r Bc/ r Bd=1~1.36; And exist the second generating plane P and second base cylinder tangent, the angle of the second line segment MM on the second generating plane P and the axis of second base cylinder is β Bd≠ 0, when the second generating plane P when second base cylinder is done nonslipping pure rolling, the track of the second line segment MM is the left flank 6 (engagement side flank profil curved surface) of involute helical gear.
Helix angle on the number of teeth of involute helical gear, the calibration cylinder, standard pitch circle transverse module, standard pitch circle normal module, engagement side standard pitch circle transverse pressure angle, non-engagement side standard pitch circle transverse pressure angle, engagement side standard pitch circle normal pressure angle, non-engagement side standard pitch circle normal pressure angle are respectively: z, β, m t, m n, α Td, α Tc, α Nd, α Nc
The value of z meets that velocity ratio requires and satisfies not undercut principle;
β=8~20°;
m nValue size according to " gear handbook (China Machine Press, 2004-2 the 2nd edition, No. the 09768th, Chinese depository library CIP digital core word (2000)) is selected or make by oneself as required;
m t=m n/ cos β millimeter;
α Td=atan (tan α Nd/ cos β) degree;
α Tc=atan (tan α Nc/ cos β) degree;
α nc=20°;
α NdUnder the prerequisite of satisfied not undercut and gear teeth shock resistance, satisfy: 45 °>α Nd>α Nc>14 °.
The radius of described second base cylinder
Figure B2011200574012D00031
Millimeter, wherein: d is the standard pitch diameter of involute helical gear,
Figure B2011200574012D00032
Millimeter.
Described β Bd=atan (tan β cos α Td) degree, and 0<β Bd<90 °.
The radius of described first base cylinder
Figure B2011200574012D00033
Millimeter.
Described β Bc=atan (tan β cos α Tc), and 0<β Bc<90 °.
The normal plane tip clearance coefficient of the normal plane addendum coefficient of described engagement side flank profil, the normal plane addendum coefficient of non-engagement side flank profil, engagement side flank profil, the normal plane tip clearance coefficient of non-engagement side flank profil are respectively
Figure B2011200574012D00041
Figure B2011200574012D00042
Wherein:
h anc * = 1 ;
c nc * = 0.25 ;
h and * = 1 + 0.25 - ( 1 - sin α nd ) π m n 2 - ( tan α nc + tan α nd ) ( m n + 0.25 m n + x n m n ) sec α nc + sec α nd - tan α nc - tan α nd ;
c nd * = ( 1 - sin α nd ) π m n 2 - ( tan α nc + tan α nd ) ( m n + 0.25 m n + x n m n ) sec α nc + sec α nd - tan α nc - tan α nd .
The standard pitch circle normal plane transverse tooth thickness of involute helical gear, transverse tooth thickness are respectively s n, s t
Then: s n = π m n 2 + x n m n ( tan α nd + tan α nc ) Millimeter, s t = π m t 2 + x t m t ( tan α td + tan α tc ) Millimeter.
x nBe the normal plane modification coefficient of involute helical gear, x tBe the end face modification coefficient of involute helical gear, then x t=x nCos β, and To prevent that helical gear from producing undercut.
The tip diameter of involute helical gear is d a,
Figure B2011200574012D000410
The root diameter of involute helical gear is d f,
Figure B2011200574012D000411
Compare with existing involute helical gear, involute helical gear of the present utility model can significantly improve bearing capacity and (studies show that: adopt large pressure angle as Surface of action, the little pressure angle helical gear as non-Surface of action, can improve its bearing capacity.), reduced volume, weight reduction (adopt gear that Surface of action and non-Surface of action pressure angle do not wait with respect to Surface of action equate with non-Surface of action pressure angle gear for, its flank of tooth narrows down, volume and weight diminishes naturally), increase the service life (intensity improve then life-span prolong), reduce vibration and noise (because vibration displacement the during gear transmission that Surface of action and non-Surface of action pressure angle do not wait and dynamic load are all than having the little of gear now, thereby gear transmission time vibration and noise have also just reduced), market prospects are wide, have huge social and economic benefit.
Obviously, the foregoing description of the present utility model only is for the utility model example clearly is described, and is not to be qualification to mode of execution of the present utility model.For those of ordinary skill in the field, can also make other changes in different forms on the basis of the above description.Here need not also can't give exhaustive to all mode of executions.And these belong to conspicuous variation or the change that spirit of the present utility model extended out and still are among the protection domain of the present utility model.

Claims (10)

1. involute helical gear, it is characterized in that: the flank profil pressure angle of the gear teeth both sides of this involute helical gear is unequal, and the bigger flank of tooth of pressure angle is Surface of action, and the less flank of tooth of pressure angle is non-Surface of action.
2. involute helical gear according to claim 1 is characterized in that: the helix angle on the number of teeth of this involute helical gear, the calibration cylinder, standard pitch circle transverse module, standard pitch circle normal module, engagement side standard pitch circle transverse pressure angle, non-engagement side standard pitch circle transverse pressure angle, engagement side standard pitch circle normal pressure angle, non-engagement side standard pitch circle normal pressure angle are respectively: z, β, m t, m n, α Td, α Tc, α Nd, α Nc
The value of z meets that velocity ratio requires and satisfies not undercut principle;
β=8~20°;
m nValue size according to " the gear handbook is selected or make by oneself as required;
m t=m n/ cos β millimeter;
α Td=atan (tan α Nd/ cos β) degree;
α Tc=atan (tan α Nc/ cos β) degree;
α Nc, α NdSatisfy: 45 °>α Nd>α Nc>14 °.
3. involute helical gear according to claim 2 is characterized in that: the radius of described second base cylinder
Figure FDA0000049125650000011
Millimeter, wherein: d is the standard pitch diameter of involute helical gear, Millimeter.
4. involute helical gear according to claim 3 is characterized in that: described β Bd=atan (tan β cos α Td) degree, and 0<β Bd<90 °.
5. involute helical gear according to claim 4 is characterized in that: the radius of described first base cylinder Millimeter.
6. involute helical gear according to claim 5 is characterized in that: described β Bc=atan (tan β cos α Tc) degree, and 0<β Bc<90 °.
7. involute helical gear according to claim 6 is characterized in that: described engagement side flank profil normal plane addendum coefficient, non-engagement side flank profil normal plane addendum coefficient, the normal plane tip clearance coefficient of engagement side flank profil, the normal plane tip clearance coefficient of non-engagement side flank profil are respectively
Figure FDA0000049125650000021
Wherein:
h anc * = 1 , c nc * = 0.25 ,
h and * = 1 + 0.25 - ( 1 - sin α nd ) πm n 2 - ( tan α nc + tan α nd ) ( m n + 0.25 m n + x n m n ) sec α nc + sec α nd - tan α nc - tan α nd ,
c nd * = ( 1 - sin α nd ) πm n 2 - ( tan α nc + tan α nd ) ( m n + 0.25 m n + x n m n ) sec α nc + sec α nd - tan α nc - tan α nd .
8. involute helical gear according to claim 7 is characterized in that: the standard pitch circle normal plane transverse tooth thickness of involute helical gear, transverse tooth thickness are respectively s n, s t
Then:
Figure FDA0000049125650000025
Millimeter,
Figure FDA0000049125650000026
Millimeter.
9. involute helical gear according to claim 8 is characterized in that: x nBe the normal plane modification coefficient of involute helical gear, x tBe helical gear end face modification coefficient, then x t=x nCos β, and
x n ≥ h and * - z ( sin α td ) 2 2 cos β .
10. involute helical gear according to claim 9 is characterized in that: helical gear tip diameter is d a,
Figure FDA0000049125650000028
Helical gear root diameter is d f,
CN2011200574012U 2011-03-07 2011-03-07 Involute helical gear Expired - Fee Related CN202048161U (en)

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Cited By (14)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102588558A (en) * 2012-03-26 2012-07-18 南京航空航天大学 Involute gear with concave and convex ring surfaces and method for designing and machining involute gear
CN102829155A (en) * 2012-09-10 2012-12-19 三一能源重工有限公司 Method for shaping cylindrical gear
CN103075492A (en) * 2012-12-31 2013-05-01 重庆大学 Low-slide-rate gradient pressure angle gear and design method
CN103267108A (en) * 2013-05-13 2013-08-28 浙江大学 Helical gear with Padovan helix tooth form
CN103410917A (en) * 2013-07-01 2013-11-27 江苏理工学院 Asymmetric involute worm and bevel gear pair
CN104318017A (en) * 2014-10-22 2015-01-28 江苏理工学院 Modeling method of asymmetric straight cylindrical gear pair
CN105587842A (en) * 2016-03-24 2016-05-18 江苏理工学院 High-strength, low-vibration and low-noise straight gear transmission mechanism
CN105605196A (en) * 2016-03-24 2016-05-25 江苏理工学院 High-strength low-vibration low-noise helical gear drive mechanism
CN108561519A (en) * 2018-06-01 2018-09-21 江苏理工学院 A kind of large pressure angle worm gearing
CN108591368A (en) * 2018-06-01 2018-09-28 江苏理工学院 A kind of twin worm point-line meshing transmission mechanism
CN108626315A (en) * 2018-06-01 2018-10-09 江苏理工学院 A kind of point-line meshing worm screw hoisting mechanism
CN108775378A (en) * 2018-06-01 2018-11-09 江苏理工学院 A kind of large pressure angle worm screw hoisting mechanism
CN108775379A (en) * 2018-06-01 2018-11-09 江苏理工学院 A kind of large pressure angle double worm mechanism
CN109751395A (en) * 2019-03-04 2019-05-14 中车北京南口机械有限公司 Gear and gear-box, and the city rail vehicle with the gear-box

Cited By (26)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102588558A (en) * 2012-03-26 2012-07-18 南京航空航天大学 Involute gear with concave and convex ring surfaces and method for designing and machining involute gear
CN102588558B (en) * 2012-03-26 2015-07-29 南京航空航天大学 A kind of concave, convex anchor ring involute gear and design thereof, processing method
CN102829155A (en) * 2012-09-10 2012-12-19 三一能源重工有限公司 Method for shaping cylindrical gear
CN102829155B (en) * 2012-09-10 2015-04-15 三一能源重工有限公司 Method for shaping cylindrical gear
CN103075492A (en) * 2012-12-31 2013-05-01 重庆大学 Low-slide-rate gradient pressure angle gear and design method
CN103075492B (en) * 2012-12-31 2015-10-28 重庆大学 Low sliding ratio gradual change pressure angle gear and design method
CN103267108A (en) * 2013-05-13 2013-08-28 浙江大学 Helical gear with Padovan helix tooth form
CN103267108B (en) * 2013-05-13 2015-08-12 浙江大学 There are the helical gear of bar all ten thousand helix profiles of tooth
CN103410917A (en) * 2013-07-01 2013-11-27 江苏理工学院 Asymmetric involute worm and bevel gear pair
CN103410917B (en) * 2013-07-01 2016-03-09 江苏理工学院 A kind of asymmetric involute worm helical gear pair
CN104318017A (en) * 2014-10-22 2015-01-28 江苏理工学院 Modeling method of asymmetric straight cylindrical gear pair
CN104318017B (en) * 2014-10-22 2018-07-20 江苏理工学院 Modeling method of asymmetric straight cylindrical gear pair
CN105605196A (en) * 2016-03-24 2016-05-25 江苏理工学院 High-strength low-vibration low-noise helical gear drive mechanism
CN105587842B (en) * 2016-03-24 2017-10-20 江苏理工学院 High intensity low vibration low noise Spur Gear Driving mechanism
CN105587842A (en) * 2016-03-24 2016-05-18 江苏理工学院 High-strength, low-vibration and low-noise straight gear transmission mechanism
CN108775379A (en) * 2018-06-01 2018-11-09 江苏理工学院 A kind of large pressure angle double worm mechanism
CN108591368A (en) * 2018-06-01 2018-09-28 江苏理工学院 A kind of twin worm point-line meshing transmission mechanism
CN108626315A (en) * 2018-06-01 2018-10-09 江苏理工学院 A kind of point-line meshing worm screw hoisting mechanism
CN108775378A (en) * 2018-06-01 2018-11-09 江苏理工学院 A kind of large pressure angle worm screw hoisting mechanism
CN108561519A (en) * 2018-06-01 2018-09-21 江苏理工学院 A kind of large pressure angle worm gearing
CN108775379B (en) * 2018-06-01 2023-04-28 江苏理工学院 Big pressure angle double worm drive mechanism
CN108626315B (en) * 2018-06-01 2023-04-28 江苏理工学院 Dotted line meshing worm lifting mechanism
CN108561519B (en) * 2018-06-01 2023-04-28 江苏理工学院 Large-pressure-angle worm transmission mechanism
CN108775378B (en) * 2018-06-01 2023-04-28 江苏理工学院 Large-pressure-angle worm lifting mechanism
CN108591368B (en) * 2018-06-01 2023-04-28 江苏理工学院 Double-worm dotted line meshing transmission mechanism
CN109751395A (en) * 2019-03-04 2019-05-14 中车北京南口机械有限公司 Gear and gear-box, and the city rail vehicle with the gear-box

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