CN104500695B - Gear with curved teeth and arc rack - Google Patents

Gear with curved teeth and arc rack Download PDF

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Publication number
CN104500695B
CN104500695B CN201410824244.1A CN201410824244A CN104500695B CN 104500695 B CN104500695 B CN 104500695B CN 201410824244 A CN201410824244 A CN 201410824244A CN 104500695 B CN104500695 B CN 104500695B
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tooth trace
tooth
convex
concave
gear
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CN104500695A (en
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方年学
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Sanmenxia Qida Technology Co.,Ltd.
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方年学
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16HGEARING
    • F16H55/00Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
    • F16H55/02Toothed members; Worms
    • F16H55/26Racks
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16HGEARING
    • F16H55/00Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
    • F16H55/02Toothed members; Worms
    • F16H55/17Toothed wheels
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16HGEARING
    • F16H55/00Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
    • F16H55/02Toothed members; Worms
    • F16H55/08Profiling
    • F16H2055/0866Profiles for improving radial engagement of gears, e.g. chamfers on the tips of the teeth
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16HGEARING
    • F16H55/00Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
    • F16H55/02Toothed members; Worms
    • F16H55/08Profiling
    • F16H55/0806Involute profile

Abstract

The invention discloses a kind of gear with curved teeth and arc rack.Minimum profile curvature radius of the maximum curvature radius of the convex surface tooth trace of the gear teeth and teeth less than concave surface tooth trace,This allows for intermeshing two gear or gear and tooth bar after assembling is engaged,In an ideal case,To be engaged in the way of a contact between convex surface tooth trace and concave surface tooth trace,And in actual use,Start engagement stage,Still it is engaged in the way of a contact between convex surface tooth trace and concave surface tooth trace,Differ only in a position of contact different,Only make instantaneous engagement i.e. between convex surface tooth trace and concave surface tooth trace,Through between the gear teeth or continuous break-in between the gear teeth and teeth after,Actual upper recess surface tooth trace and convex surface tooth trace have one section of considerably long linear contact lay,So that two parts of engaged transmission are after running-in,Engaged in the way of linear contact lay between concave surface tooth trace and convex surface tooth trace,So as to reduce in assembling process to centre-to-centre spacing,The requirement of helical angle equal error sensitiveness,So that two parts of engaged transmission are more prone to assembling.

Description

Gear with curved teeth and arc rack
Technical field
The present invention relates to a kind of gear with curved teeth and arc rack.
Background technology
Gear drive is one of principal mode in machine driving, and because it has, ratio coverage is big, power bracket is wide, knot The advantages of structure is compact reliable, is widely used in various plant equipment and instrument and meter, as shared in existing machinery product A kind of maximum transmission of proportion.Existing column gear transmission has straight spur gear, helical gears and double helical tooth cylinder Three kinds of forms of gear, but due in structure, there is certain defect in above-mentioned roller gear(See Pingxiang higher junior college Journal .2001 (4):17-21 --- arch arc cylindrical gear [J]), it is using curved tooth cylinder in this increasing gear drive Gear, its gear teeth being mainly characterized by cylinder are curved, flank profil and the common cylinder gear of traditional arc cylindrical gear Equally, both can be involute profile, or circular curve flank profil, and arc cylindrical gear has meshing performance good, heavy Folded coefficient is big, axial force is cancelled out each other, transmission efficiency, the advantages of bending strength is big, contact strength of tooth surface is good, curved tooth Cylinder Gear Wheel has superior drive characteristic, and answering for straight-tooth, helical teeth and double helical tooth roller gear can be replaced under most of applied environments With, at the same have low stable drive, rotational noise, efficiency high, long service life, using with the low feature of safety requirements, have Wide application prospect, but because people are indefinite to the structural parameters and its drive characteristic of arc cylindrical gear, so as to restrict The application of arc cylindrical gear.
A kind of arc helix cylindrical gear and arc rack, are shown in Fig. 1 to Fig. 4 disclosed in Chinese patent literature 200910064288.8 It is shown, the arc helix cylindrical gear by columned matrix 11 and its periphery set the gear teeth constitute, the gear teeth by convex side 14, Concave tooth face 15, crest top land 16 and root face 13 are surrounded, the gear teeth the flank profil in the section parallel to end face be involute, in circle Flank of tooth evolute in post section is circular arc, and the gear teeth expansion tooth trace and concave tooth face of the convex side 14 on reference cylinder 12 The 15 expansion tooth trace on reference cylinder 12 is the arc radius Ri1=convex surfaces tooth trace 17 of isometrical circular arc, i.e. concave surface tooth trace 16 Arc radius Re1, so that in the ideal situation, the bent arc spiral path of action in the gear compound graduation face of cylinder 12 is tightly accurate, i.e., mutually The center of circle Oi1 and convex side 14 of expansion tooth trace of the concave tooth face 15 of engagement on reference cylinder 12 --- concave surface tooth trace 16 are dividing Expansion tooth trace on the degree face of cylinder 12 --- the center of circle Oe1 of convex surface tooth trace 17 overlaps, and the top of concave tooth face 15 arc is equal to convex side 14 Arc and more than convex side 14 push up arc and 15, concave tooth face arc, formed 100% contact surface, make wheel set it is engaging-in and depart from overlap system Arbitrfary point can produce load, any tooth of the contact area higher than face width of tooth on year-on-year basis on number curved tooth surface 15, convex side 14 Wheel and tooth bar, to improve bearing capacity and service life.But in actual job, by gear, tooth bar itself machining accuracy and tooth Assembly precision influence between wheel and tooth bar, exists certain between the center of circle Oi1 of concave surface tooth trace 16 and the center of circle Oe1 of convex surface tooth trace 17 Deviation, this concave tooth face 15 that will result in the engagement that should coincide launches tooth trace and convex side 14 and launches tooth trace only end face crown to connect The phenomenon that the flank of tooth corresponding to tactile, remainder is separate, so that the quality degradation of Meshing Pair, the carrying energy of Meshing Pair Power, transmission stability are substantially reduced, and service life is also greatly shortened therewith.
The content of the invention
It is an object of the invention to provide a kind of gear with curved teeth, it is intended to which the gear teeth for solving gear with curved teeth in the prior art receive mismachining tolerance The problem poor with the influence meshing quality of rigging error.It is a further object of the present invention to provide a kind of arc rack, it is intended to solve existing The teeth for having arc rack in technology are influenceed the problem of meshing quality difference by mismachining tolerance and rigging error.
In order to realize the above object the technical scheme of gear with curved teeth is as follows in the present invention:
Gear with curved teeth, including the gear teeth that the matrix of plate-like and its periphery are set are taken turns, the arc-shaped tooth point of the opposite both sides of the gear teeth Not Wei convex side, concave tooth face, and define expansion tooth trace of the convex side on reference cylinder for convex surface tooth trace, concave tooth face indexing Expansion tooth trace on the face of cylinder is concave surface tooth trace, the minimum curvature half of the maximum curvature radius less than concave surface tooth trace of convex surface tooth trace Footpath.
Convex surface tooth trace and/or concave surface tooth trace are circular arc line.
Convex surface tooth trace and concave surface tooth trace are circular arc line, the maximum curvature radius of convex surface tooth trace and the most Chinese yeast of concave surface tooth trace Rate radius is respectively the arc radius of correspondence circular arc line, and the gear teeth thickness between convex surface tooth trace and concave surface tooth trace is along facewidth side To reducing from the middle to both ends.
The arc radius of convex surface tooth trace 1.2mm below smaller than the arc radius of concave surface tooth trace.
The flank profil of the gear teeth is involute profile.
The technical scheme of arc rack is as follows in the present invention:
Arc rack, including strip and block matrix and its side on set teeth, the arc-shaped tooth of the opposite both sides of teeth Respectively convex side, concave tooth face, and define expansion tooth trace of the convex side on reference cylinder for convex surface tooth trace, concave tooth face point Expansion tooth trace on the degree face of cylinder is concave surface tooth trace, the minimum curvature half of the maximum curvature radius less than concave surface tooth trace of convex surface tooth trace Footpath.
Convex surface tooth trace and/or concave surface tooth trace are circular arc line.
Convex surface tooth trace and concave surface tooth trace are circular arc line, the maximum curvature radius of convex surface tooth trace and the most Chinese yeast of concave surface tooth trace Rate radius is respectively the arc radius of correspondence circular arc line, and the teeth thickness between convex surface tooth trace and concave surface tooth trace is along facewidth side To reducing from the middle to both ends.
The arc radius of convex surface tooth trace 1.2mm below smaller than the arc radius of concave surface tooth trace.
The flank profil of the gear teeth is involute profile.
Less than the minimum profile curvature radius of concave surface tooth trace, this is allowed for mutually the maximum curvature radius of convex surface tooth trace in the present invention Two gears or gear and tooth bar of engagement after assembling is engaged, in reference cylinder, intermeshing two gear teeth or the gear teeth and The convex surface tooth trace of teeth will be in the tooth trace of concave surface, and the degree of crook of convex surface tooth trace is bigger than the degree of crook of concave surface tooth trace, this Allow in an ideal case, will be engaged in the way of a contact between convex surface tooth trace and concave surface tooth trace, and actually used In, start engagement stage, still it is engaged in the way of a contact between convex surface tooth trace and concave surface tooth trace, differ only in a little The position of contact is different, i.e., only make instantaneous engagement between convex surface tooth trace and concave surface tooth trace, through between the gear teeth or the gear teeth and teeth after Between constantly break-in, actual upper recess surface tooth trace and convex surface tooth trace have one section of considerably long linear contact lay so that the two of engaged transmission Part is engaged between concave surface tooth trace and convex surface tooth trace after running-in in the way of linear contact lay, therefore gear with curved teeth and curved tooth in the present invention Bar has advantages below:Concave surface tooth trace and convex surface tooth trace are very big along the rolling speed in fitting direction, with concave surface tooth trace and convex surface Oil film is formed between tooth trace, transmission efficiency is higher;Along contact point trace line direction even wearing between concave surface tooth trace and convex surface tooth trace, and hold Easy big gun is closed;Without Undercutting Phenomenon, the number of teeth of gear can be so reduced;It is quick to centre-to-centre spacing, helical angle equal error in reduction assembling process The requirement of perception so that two parts of engaged transmission are more prone to assembling, so as to solve the gear teeth of gear with curved teeth in the prior art With the teeth of arc rack the poor problem of meshing quality is influenceed by mismachining tolerance and rigging error.
Brief description of the drawings
Fig. 1 is the dimensional structure diagram of circle-arc tooth roller gear in the prior art;
Fig. 2 be in Fig. 1 circle-arc tooth roller gear along reference cylinder profile stretch-out view;
Fig. 3 is contact point trace line schematic diagram of the circle-arc tooth roller gear under preferable engagement situation in Fig. 1;
Fig. 4 is contact wiring schematic diagram of the circle-arc tooth roller gear under actual engagement situation in Fig. 1;
Fig. 5 be gear with curved teeth of the invention embodiment in circle-arc tooth roller gear along reference cylinder profile stretch-out view.
Fig. 6 is contact point trace line schematic diagram of the circle-arc tooth roller gear under preferable engagement situation in Fig. 5;
Fig. 7 is contact point trace line schematic diagram of the circle-arc tooth roller gear under actual engagement situation in Fig. 5.
Specific embodiment
The embodiment of gear with curved teeth in the present invention:As shown in Figures 5 to 7, the gear with curved teeth is a kind of not isometrical circle-arc tooth cylinder Gear, by the circumferentially spaced uniform gear teeth on the matrix of wheel plate-like and its periphery, the tooth curve of the gear teeth is involute, the gear teeth The arc-shaped tooth of opposite both sides be respectively concave tooth face and convex side, wherein expansion tooth trace of the convex side on reference cylinder is The convex surface tooth trace 22 of circular arc, launch tooth trace of the concave tooth face on reference cylinder is the concave surface tooth trace 21 of circular arc, convex surface tooth The center of circle of line 22 and concave surface tooth trace 21 is on the symmetrical center line of reference cylinder developed surface, the arc radius Re of convex surface tooth trace 22 Less than the arc radius Ri of concave surface tooth trace 21.Keep the existing gear teeth etc. in the case of transverse tooth thickness, the center of circle Oe of convex surface tooth trace 22 And the spacing distance between the center of circle Oi of concave surface tooth trace 21 is more than the transverse tooth thickness of the correspondence gear teeth, and cause convex surface tooth trace 22 and concave surface tooth Gear teeth thickness between line 21 reduces from the middle to both ends along facewidth direction.
In the present embodiment the gear teeth after mounting, under theoretical situation, during the engagement situation of the not isometrical circle-arc tooth roller gear Point contact engagement, and contact point is in the centre of convex surface tooth trace 22 and concave surface tooth trace 21, convex surface tooth trace 22 and concave surface tooth trace Gap between 21 gradually increases from center to two ends, when the end face of the gear teeth is reached between convex surface tooth trace 22 and concave surface tooth trace 21 Gap be up to maximum, the theoretical engagement end face gap delta of not isometrical circle-arc tooth roller gear now can be calculated with following formula:
,
Wherein,
Citing:As the arc radius Re=100mm of known convex surface tooth trace 22, the arc radius Ri=of concave surface tooth trace 21 100.4mm, during the facewidth B=20mm of the gear teeth, engagement end face gap delta=0.002mm, when actual gear is driven, because the gear teeth are received Force deformation, so so small engagement end clearance can ensure concave surface tooth trace 21 and convex surface tooth trace 22, can reach 95% contact.
The experimental result of not isometrical circle-arc tooth roller gear engagement contact rate is as follows during different arc radius differences:
Set the arc radius Re=100mm of convex surface tooth trace, during facewidth B=20mm, different concave surface tooth trace and convex surface tooth trace Semidiameter difference Ri-Re in the case of flank largest end face gap and engagement contact rate experimental result
Be can be seen that during as Ri-Re≤0.4mm from upper table data, contact rate can be controlled in more than 95%, especially works as 0.4mm During < Ri-Re≤1.2mm, contact rate can be controlled in more than 90%.
But in actual installation, influenceed by mismachining tolerance and rigging error, convex surface tooth trace 22 and concave surface is usually occurred The situation that tooth trace 21 is staggered on the middle section of wheel tooth width B, such as under the influence of alignment error, the center of circle Oe of convex surface tooth trace 22 Or the center of circle Oi of concave surface tooth trace 21, when deviateing the middle section of wheel tooth width B, the engagement of not isometrical circle-arc tooth roller gear is still Point contact is engaged, and simply meshing point is moved slightly away from the middle section of wheel tooth width B, and this engagement situation is obviously than traditional circle-arc tooth The engagement situation of peak contact of the roller gear under the influence of rigging error is much better, i.e., not isometrical circle-arc tooth roller gear exists Under the influence of rigging error, through gear-driven running-in, the contact rate of convex surface tooth trace 22 and concave surface tooth trace 21 can also reach 95%, this is allowed for when actual gear is driven, due to stress deformation, not isometrical circle-arc tooth roller gear engagement contact rate than Tradition(It is isometrical)Circle-arc tooth roller gear engagement contact rate is much higher, thus bearing capacity, working life, stable working all generals It is significantly improved.
The embodiment of arc rack in the present invention:The arc rack is a kind of not isometrical circular arc gear rack, by the matrix of strip and block And its equidistant teeth being intervally arranged are constituted on side, the tooth curve of teeth is involute, the arc of the opposite both sides of teeth The flank of tooth is respectively concave tooth face and convex side, and wherein launch tooth trace of the convex side on reference cylinder is the convex surface tooth of circular arc Line, the concave tooth face center of circle that tooth trace is the concave surface tooth trace of circular arc, convex surface tooth trace and concave surface tooth trace of launching on reference cylinder On symmetrical center line in reference cylinder developed surface, the arc radius of the arc radius less than concave surface tooth trace of convex surface tooth trace. Keep existing teeth etc. in the case of transverse tooth thickness, the spacing distance between the center of circle of convex surface tooth trace and the center of circle of concave surface tooth trace is more than The transverse tooth thickness of correspondence teeth, and cause teeth thickness between convex surface tooth trace and concave surface tooth trace along facewidth direction from centre to two End reduces.
After mounting, under theoretical situation, the engagement situation time point of the not isometrical circular arc gear rack connects teeth in the present embodiment Engagement is touched, and contact point is in the centre of convex surface tooth trace and concave surface tooth trace, the gap between convex surface tooth trace and concave surface tooth trace Gradually increase to two ends from center, the gap when the end face of teeth is reached between convex surface tooth trace and concave surface straight line is up to most Greatly, now the theoretical engagement end face gap delta of not isometrical circular arc gear rack can be calculated with following formula:
,
Wherein,
Citing:As the arc radius Re=100mm of known convex surface tooth trace, the arc radius Ri=100.4mm of concave surface tooth trace, tooth During the facewidth B=20mm of tooth, engagement end face gap delta=0.002mm, when actual gear is driven, due to teeth stress deformation, so So small engagement end clearance can ensure concave surface tooth trace and convex surface tooth trace, can reach 95% contact.

Claims (6)

1. the gear teeth that the matrix of gear with curved teeth, including wheel plate-like and its periphery are set, the arc-shaped tooth difference of the opposite both sides of the gear teeth Be convex side, concave tooth face, and define expansion tooth trace of the convex side on reference cylinder for convex surface tooth trace, concave tooth face in reference circle Expansion tooth trace on cylinder is concave surface tooth trace, it is characterised in that the maximum curvature radius of convex surface tooth trace are less than concave surface tooth trace most Small radius of curvature, convex surface tooth trace and concave surface tooth trace are circular arc line, and the maximum curvature radius and concave surface tooth trace of convex surface tooth trace are most Small radius of curvature is respectively the arc radius of correspondence circular arc line, and the gear teeth thickness between convex surface tooth trace and concave surface tooth trace is along tooth Cross direction reduces from the middle to both ends.
2. gear with curved teeth according to claim 1, it is characterised in that circular arc of the arc radius of convex surface tooth trace than concave surface tooth trace Small below the 1.2mm of radius.
3. gear with curved teeth as claimed in any of claims 1 to 2, it is characterised in that the flank profil of the gear teeth is involute teeth It is wide.
4. the teeth set on the matrix of arc rack, including strip and block and its side, the arc-shaped tooth point of the opposite both sides of teeth Not Wei convex side, concave tooth face, and define expansion tooth trace of the convex side on reference cylinder for convex surface tooth trace, concave tooth face indexing Expansion tooth trace on the face of cylinder is concave surface tooth trace, it is characterised in that the maximum curvature radius of convex surface tooth trace are less than concave surface tooth trace Minimum profile curvature radius, convex surface tooth trace and concave surface tooth trace are circular arc line, the maximum curvature radius of convex surface tooth trace and concave surface tooth trace Minimum profile curvature radius are respectively the arc radius of correspondence circular arc line, the teeth thickness edge between convex surface tooth trace and concave surface tooth trace Facewidth direction reduces from the middle to both ends.
5. arc rack according to claim 4, it is characterised in that circular arc of the arc radius of convex surface tooth trace than concave surface tooth trace Small below the 1.2mm of radius.
6. the arc rack according to any one in claim 4 to 5, it is characterised in that the flank profil of the gear teeth is involute teeth It is wide.
CN201410824244.1A 2014-12-26 2014-12-26 Gear with curved teeth and arc rack Active CN104500695B (en)

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111306268A (en) * 2020-03-10 2020-06-19 重庆大学 Gear-rack meshing pair, design method thereof and linear transmission mechanism

Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3982445A (en) * 1975-09-02 1976-09-28 Rouverol William S High torque gearing
DE10132033A1 (en) * 2000-07-19 2002-02-14 Meritor Heavy Vehicle Sys Ltd Toothed gear has teeth with profile of circular arc shape
CN101149104A (en) * 2007-11-09 2008-03-26 完颜学明 Arc helix cylindrical gear and arc rack
CN101225878A (en) * 2007-01-19 2008-07-23 西北工业大学 Arc tooth surface gear pair and method of processing the same
CN201133460Y (en) * 2007-11-09 2008-10-15 完颜学明 Arc spiral cylindrical gear and arc teeth bar
CN101975264A (en) * 2010-10-15 2011-02-16 重庆大学 Involute arc tooth profile bevel gear and meshing pair thereof
CN204403319U (en) * 2014-12-26 2015-06-17 方年学 A kind of gear with curved teeth and arc rack

Patent Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3982445A (en) * 1975-09-02 1976-09-28 Rouverol William S High torque gearing
DE10132033A1 (en) * 2000-07-19 2002-02-14 Meritor Heavy Vehicle Sys Ltd Toothed gear has teeth with profile of circular arc shape
CN101225878A (en) * 2007-01-19 2008-07-23 西北工业大学 Arc tooth surface gear pair and method of processing the same
CN101149104A (en) * 2007-11-09 2008-03-26 完颜学明 Arc helix cylindrical gear and arc rack
CN201133460Y (en) * 2007-11-09 2008-10-15 完颜学明 Arc spiral cylindrical gear and arc teeth bar
CN101975264A (en) * 2010-10-15 2011-02-16 重庆大学 Involute arc tooth profile bevel gear and meshing pair thereof
CN204403319U (en) * 2014-12-26 2015-06-17 方年学 A kind of gear with curved teeth and arc rack

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Effective date of registration: 20210805

Address after: 472000 No. 1, row a, Huixing Industrial Park, Hubin District, Sanmenxia City, Henan Province

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Patentee before: Fang Nianxue