CN108626335A - A kind of point-line meshing worm gearing - Google Patents

A kind of point-line meshing worm gearing Download PDF

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Publication number
CN108626335A
CN108626335A CN201810558443.0A CN201810558443A CN108626335A CN 108626335 A CN108626335 A CN 108626335A CN 201810558443 A CN201810558443 A CN 201810558443A CN 108626335 A CN108626335 A CN 108626335A
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worm
gear
helical
worm screw
angle
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CN108626335B (en
Inventor
李秀莲
刘伟
王海峰
汪献伟
朱福先
周金宇
徐旭松
邱睿
施晓芳
俞成涛
王江涛
何庆
王新愿
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Jiangsu University of Technology
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Jiangsu University of Technology
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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
    • F16H19/00—Gearings comprising essentially only toothed gears or friction members and not capable of conveying indefinitely-continuing rotary motion
    • F16H19/02—Gearings comprising essentially only toothed gears or friction members and not capable of conveying indefinitely-continuing rotary motion for interconverting rotary or oscillating motion and reciprocating motion
    • F16H19/04—Gearings comprising essentially only toothed gears or friction members and not capable of conveying indefinitely-continuing rotary motion for interconverting rotary or oscillating motion and reciprocating motion comprising a rack
    • F16H19/043—Gearings comprising essentially only toothed gears or friction members and not capable of conveying indefinitely-continuing rotary motion for interconverting rotary or oscillating motion and reciprocating motion comprising a rack for converting reciprocating movement in a continuous rotary movement or vice versa, e.g. by opposite racks engaging intermittently for a part of the stroke
    • 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
    • F16H55/0806—Involute profile
    • 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
    • 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
    • F16H55/22—Toothed members; Worms for transmissions with crossing shafts, especially worms, worm-gears

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  • Engineering & Computer Science (AREA)
  • General Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Gears, Cams (AREA)
  • Gear Transmission (AREA)
  • Transmission Devices (AREA)

Abstract

The invention belongs to Worm Gear Drive Design technical fields, more particularly to a kind of point-line meshing worm gearing, the driving wheel engaged including worm screw, with worm screw and the helical rack engaged with driving wheel, the worm screw, driving wheel and helical rack are all made of the tooth form of involute and circular arc synthesis, the high half of its tooth is that involute double wedge is wide, the other half is wide for easement curve concave tooth, and the driving wheel is worm gear or helical gear；When worm and wheel is meshed, it is respectively γ to take the lead-angle, axial plane modulus, axial plane pressure angle of worm screw3、mx3、αx3；It is respectively β to take the spiral angle of graduated circle, transverse module, transverse pressure angle of worm gear4、mt4、αt4, then must satisfy：mt4=mx3、αt4=αx3, in the case where two axle clamp angle of worm and wheel is 90 degree, also meet β4=γ3；When worm gear is meshed with helical rack, it is respectively β to take the helical angle of helical rack, transverse module, transverse pressure angle, normal module, normal pitch pressure angle5、mt5、αt5、mn5、αn5, then must satisfy：mt5=mn5/ cos β=mt4、αt5=arctg (tg αn5/ cos β)=αt4、β5=β4。

Description

A kind of point-line meshing worm gearing
Technical field
The invention belongs to Worm Gear Drive Design technical field more particularly to a kind of point-line meshing worm gearings.
Background technology
Worm-drive is widely used because of big, stable drive, with small vibration, low noise advantages with transmission ratio.Worm screw The good and bad quality height that will finally influence engineening goods of transmission performance and its quality, therefore, increasingly increases to meet people The needs of long material progress, it is desirable that the transmission performance of worm screw is continued to optimize.
Worm geared failure mode often shows as rippling, gluing, abrasion and break of gear tooth etc..The gear teeth once occur It fractures, the normal operation of endless screw transmission agent will be influenced, severe patient results even in the generation of equipment breakdown and casualties.By In the reason on material and structure, the intensity of worm spiral toothed portion is always above the intensity for the worm gear teeth being engaged with, institute It is occurred often on worm gear teeth with failure.
Point-line meshing gear is a kind of novel gear, i.e., intermeshing a pair of of gear pair, the high half of tooth is gradually Burst at the seams double wedge exterior feature, the other half is wide for the concave tooth of easement curve.When gear pair engaged transmission, when the involute teeth of one of gear Exterior feature forms point contact when being meshed with the easement curve flank profil of coupling gear；Involute profile when one of gear and pairing Line contact is formed when the involute profile of gear is meshed.Point-line meshing gear combines pair of involute gear and wildhaber-novikov gear Weight advantage, has many advantages, such as large carrying capacity, long lifespan.
In order to improve the resistance to fracture of worm gear teeth, the present invention proposes a kind of setting for point-line meshing worm gearing Meter theory.The related report in terms of worm and wheel or helical gear point-line meshing is not yet retrieved at present.
Invention content
To solve the problems, such as that worm gear teeth is vulnerable in worm gearing of the existing technology, the present invention provides a kind of Point-line meshing worm gearing.
In order to solve the above technical problems, the technical solution adopted in the present invention is as follows, a kind of point-line meshing worm-drive machine Structure, including worm screw, the driving wheel engaged with worm screw and the helical rack engaged with driving wheel, the worm screw, driving wheel and tiltedly Rack is all made of the tooth form of involute and circular arc synthesis, and the high half of tooth is that involute double wedge is wide, the other half is easement curve Concave tooth it is wide, the driving wheel is worm gear or helical gear；
The point-line meshing worm gearing meets the following conditions：
When worm and wheel is meshed, the lead-angle, axial plane modulus, axial plane pressure angle of worm screw is taken to be respectively γ3、mx3、αx3；It is respectively β to take the spiral angle of graduated circle, transverse module, transverse pressure angle of worm gear4、mt4、αt4, then must satisfy： mt4=mx3、αt4=αx3, in the case where two axle clamp angle of worm and wheel is 90 degree, also meet β4=γ3；
When worm gear is meshed with helical rack, take the helical angle of helical rack, transverse module, transverse pressure angle, normal module, Normal pitch pressure angle is respectively β5、mt5、αt5、mn5、αn5, then must satisfy：mt5=mn5/ cos β=mt4、αt5=arctg (tg αn5/ Cos β)=αt4、β5=-β4；
When worm screw is meshed with helical gear, the lead-angle, axial plane modulus, axial plane pressure angle of worm screw is taken to be respectively γ3、mx3、αx3；Take helical gear spiral angle of graduated circle, transverse module, transverse pressure angle, normal module, normal pitch pressure angle difference For β4、mt4、αt4、mn4、αn4, then must satisfy：mx3=mt4、αx3=αt4、mt4=mn4/cosβ4、In snail In the case that bar is 90 degree with two axle clamp angle of helical gear, also meet β4=γ3；
When helical gear is meshed with helical rack, the helical angle of helical rack, normal module, the normal pitch pressure angle is taken to be respectively β5、mn5、αn5, then must satisfy：mn5=mn4、αn5=αn4、β5=-β4。
Preferably, when the easement curve flank profil of worm screw is meshed with the involute profile of worm gear, two point contact is formed； When the easement curve flank profil of worm gear is meshed with the involute profile of helical rack, two point contact is formed；When the involute teeth of worm screw When exterior feature is meshed with the involute profile of worm gear, line contact is formed；The involute profile of worm gear and the involute profile of helical rack When being meshed, line contact is formed.
Preferably, when the easement curve flank profil of worm screw is meshed with helical gear involute profile, forms two point and connect It touches；When helical gear easement curve flank profil is meshed with the involute profile of helical rack, two point contact is formed；When gradually opening for worm screw When line flank profil is meshed with helical gear involute profile, line contact is formed；Helical gear involute profile and helical rack are gradually When the flank profil that bursts at the seams is meshed, line contact is formed.
Advantageous effect：The point-line meshing worm gearing of the present invention further enriches the theoretical body of point-line meshing gear System, expands the application range of point-line meshing gear, has widened worm geared the connotation and extension.Relative to conventional worm-drive Mechanism, point-line meshing worm gearing have many advantages, such as large carrying capacity, long lifespan, reliability height etc.；Helical gear substitutes snail Wheel and worm screw engaged transmission, can substantially reduce the difficulty of spiral case making, having reduces production cost, and it is equivalent to improve production efficiency Fruit.
Description of the drawings
Fig. 1 is the engaged transmission schematic diagram of point-line meshing worm gearing of the present invention；
Fig. 2 is the point-line meshing form schematic diagram of the gear teeth of point-line meshing worm gearing of the present invention；
1, motor in figure, 2, shaft coupling, 3, worm screw, 4, driving wheel, 5, helical rack.
Specific implementation mode
As shown in Figure 1, a kind of point-line meshing worm gearing, including worm screw 3, the driving wheel 4 that is engaged with worm screw 3 and The helical rack 5 engaged with driving wheel 4, worm screw 3 is fixedly connected by shaft coupling 2 with the output end of motor 1, in the drive of motor 1 Under, the convert rotational motion of worm screw 3 is the straight reciprocating of helical rack 5.As shown in Fig. 2, the worm screw 3, driving wheel 4 and Helical rack 5 is all made of the tooth form of involute and circular arc synthesis, and the high half of tooth is that involute double wedge is wide, the other half is bent for transition The concave tooth of line is wide, and the driving wheel 4 is worm gear or helical gear.When the easement curve flank profil of worm screw 3 and the involute profile of worm gear When being meshed, two point contact is formed；When the easement curve flank profil of worm gear is meshed with the involute profile of helical rack 5, formed double Point contact.When the involute profile of worm screw 3 is meshed with the involute profile of worm gear, line contact is formed；The involute of worm gear When flank profil is meshed with the involute profile of helical rack 5, line contact is formed.When worm screw 3 easement curve flank profil with it is helical gear When involute profile is meshed, two point contact is formed；Helical gear easement curve flank profil and the involute profile of helical rack 5 are mutually nibbled When conjunction, two point contact is formed.When the involute profile of worm screw 3 is meshed with helical gear involute profile, line contact is formed； When helical gear involute profile is meshed with the involute profile of helical rack 5, line contact is formed.Such as Fig. 2, two are defined here Pitch wheel is gear 1 and gear 2, and in Fig. 2, two pitch circle points of tangency P at, line centered on O1O2, N1N2 is nibbles Zygonema section, J are meshing point；
The point-line meshing worm gearing meets the following conditions：
When worm screw 3 is meshed with worm gear, the lead-angle, axial plane modulus, axial plane pressure angle of worm screw 3 is taken to be respectively γ3、mx3、αx3；It is respectively β to take the spiral angle of graduated circle, transverse module, transverse pressure angle of worm gear4、mt4、αt4, then must satisfy： mt4=mx3、αt4=αx3, in the case where worm screw 3 and two axle clamp angle of worm gear are 90 degree, also meet β4=γ3；
When worm gear is meshed with helical rack 5, the helical angle of helical rack 5, transverse module, transverse pressure angle, method face mould are taken Number, normal pitch pressure angle are respectively β5、mt5、αt5、mn5、αn5, then must satisfy：mt5=mn5/ cos β=mt4、αt5=arctg (tg αn5/ cos β)=αt4、β5=-β4。
When worm screw 3 is meshed with helical gear, the lead-angle, axial plane modulus, axial plane pressure angle of worm screw 3 is taken to distinguish For γ3、mx3、αx3；Take helical gear spiral angle of graduated circle, transverse module, transverse pressure angle, normal module, normal pitch pressure angle point It Wei not β4、mt4、αt4、mn4、αn4, then must satisfy：mx3=mt4、αx3=αt4、mt4=mn4/cosβ4、 In the case that worm screw 3 is 90 degree with two axle clamp angle of helical gear, also meet β4=γ3；
When helical gear is meshed with helical rack 5, the helical angle of helical rack 5, normal module, the normal pitch pressure angle is taken to be respectively β5、mn5、αn5, then must satisfy：mn5=mn4、αn5=αn4、β5=-β4。
Embodiment one：
1), it is easy analysis, it is assumed that the gear teeth hand of spiral of worm screw 3 is left-handed.Since worm gear is meshed with worm screw 3, then The gear teeth hand of spiral of worm gear is also left-handed, and worm-gear driven helical rack 5 moves, then the gear teeth hand of spiral of helical rack 5 is dextrorotation；
2), as shown in Figure 1, when motor 1 is rotated according to upward solid arrow direction, by shaft coupling 2, worm screw is driven 3 rotations, the rotation direction of worm screw 3 are identical as 1 rotation direction of motor；
3) it is respectively z, to take head number, diameter quotient, axial plane modulus, the axial plane pressure angle of worm screw 33、q3、mx3、αx3, wherein z3、q3Value can refer to design of gears handbook；mx3、αx3It can make by oneself as needed or from gear handbook value, but specific value It is related with the transverse module of worm gear and transverse pressure angle；The lead-angle γ of worm screw 33=arctanz3/q3Degree；
4) the reference diameter d of worm screw 3, is taken3=mx3q3Millimeter, the base circle diameter (BCD) of worm screw 3Millimeter, worm screw 3 tip diameterMillimeter, whereinFor addendum coefficient, 1 is often taken；
5), worm screw 3 drives worm gear to rotate counterclockwise；
6) it is respectively z, to take the number of teeth of worm gear, spiral angle of graduated circle, transverse module, transverse pressure angle4、β4、mt4、αt4, Middle z4Value range is often 28~80.mt4、αt4It can make by oneself or from gear handbook value, but must satisfy as needed：mt4= mx3、αt4=αx3.In the case where worm screw 3 and two axle clamp angle of worm gear are 90 degree, also meet β4=γ3；
7) it is x, to take the end face modification coefficient of worm geart4, value selects according to design requirement；
8), worm gear is meshed with helical rack 5, and helical rack 5 is driven to move right, as shown in solid arrow direction in Fig. 1；
9) it is respectively β, to take the helical angle of helical rack 5, transverse module, transverse pressure angle, normal module, normal pitch pressure angle5、 mt5、αt5、mn5、αn5, wherein β5、mn5、αn5It can make by oneself or from gear handbook value, but must satisfy as needed：mt5=mn5/ Cos β=mt4、αt5=arctg (tg αn5/ cos β)=αt4、β5=-β4；
10), similarly, as shown in Figure 1, when motor 1 is rotated according to downward dotted arrow direction, pass through shaft coupling 2, band Dynamic worm screw 3 rotates；Worm screw 3 and worm gear engaged transmission, drive worm gear to rotate clockwise；Worm gear and 5 engaged transmission of helical rack, are realized Helical rack 5 is moved to the left, as shown in dotted arrow direction in Fig. 1.
Embodiment two：
1), assume that the hand of helix of worm screw 3 is left-handed, the characteristics of according to worm screw 3 and helical gear engaged transmission, then helical teeth The gear teeth hand of spiral of wheel is also left-handed, the characteristics of according to helical gear and the engaged transmission of helical rack 5, then the gear teeth spiral shell of helical rack 5 Rotation direction is dextrorotation；
2), as shown in Figure 1, when motor 1 is rotated according to upward solid arrow direction, by shaft coupling 2, worm screw is driven 3 rotations, the rotation direction of worm screw 3 are identical as 1 rotation direction of motor；
3) it is respectively z, to take head number, diameter quotient, axial plane modulus, the axial plane pressure angle of worm screw 33、q3、mx3、αx3, wherein z3、q3Value can refer to design of gears handbook, mx3、αx3Value can refer to design of gears handbook, but specific value and helical teeth The transverse module of wheel is related with transverse pressure angle；The lead-angle γ of worm screw 33=arctanz3/q3Degree；
4) the reference diameter d of worm screw 3, is taken3=mx3q3Millimeter, the base circle diameter (BCD) of worm screw 3Millimeter, worm screw 3 tip diameterMillimeter, whereinFor addendum coefficient, 1 is often taken；
5), worm screw 3 drives helical gear to rotate counterclockwise；
6) the helical gear number of teeth, spiral angle of graduated circle, transverse module, transverse pressure angle, normal module, method surface pressure, are taken Angle is respectively z4、β4、mt4、αt4、mn4、αn4, wherein z4The value as needed in the case where ensureing that root is not cut.mn4、αn4It can basis It needs to make by oneself or from gear handbook value, mt4=mn4/cosβ4、But it must satisfy：mx3=mt4、αx3= αt4.In the case where worm screw 3 and two axle clamp angle of helical gear are 90 degree, also meet β4=γ3；
7) it is x, to take helical gear end face modification coefficientt4, value selects according to design requirement；
8), 5 engaged transmission of helical gear and helical rack, and helical rack 5 is driven to move right, such as solid arrow direction in Fig. 1 It is shown；
9) it is respectively β, to take the helical angle of helical rack 5, normal module, normal pitch pressure angle5、mn5、αn5, wherein β5、mn5、αn5 It can make by oneself or from gear handbook value, but must satisfy as needed：mn5=mn4、αn5=αn4、β5=-β4；
10), similarly, as shown in Figure 1, when motor 1 is rotated according to downward dotted arrow direction, pass through shaft coupling 2, band Dynamic worm screw 3 rotates；Worm screw 3 and helical gear engaged transmission, drive helical gear to rotate clockwise；Helical gear engages biography with helical rack 5 It is dynamic, realize that helical rack 5 is moved to the left, as shown in dotted arrow direction in Fig. 1.

Claims (3)

1. a kind of point-line meshing worm gearing, it is characterised in that：Including worm screw (3), the driving wheel engaged with worm screw (3) (4) and with driving wheel (4) helical rack (5) engaged, the worm screw (3), driving wheel (4) and helical rack (5) are all made of gradually Burst at the seams the tooth form integrated with circular arc, and the high half of tooth is that involute double wedge is wide, the other half is wide for the concave tooth of easement curve, described Driving wheel (4) is worm gear or helical gear；
The point-line meshing worm gearing meets the following conditions：
When worm screw (3) is meshed with worm gear, the lead-angle, axial plane modulus, axial plane pressure angle of worm screw (3) is taken to be respectively γ3、mx3、αx3；It is respectively β to take the spiral angle of graduated circle, transverse module, transverse pressure angle of worm gear4、mt4、αt4, then must satisfy： mt4=mx3、αt4=αx3, in the case where worm screw (3) and two axle clamp angle of worm gear are 90 degree, also meet β4=γ3；
When worm gear is meshed with helical rack (5), the helical angles of helical rack (5), transverse module, transverse pressure angle, method face mould are taken Number, normal pitch pressure angle are respectively β5、mt5、αt5、mn5、αn5, then must satisfy：mt5=mn5/ cos β=mt4、αt5=arctg (tg αn5/ cos β)=αt4、β5=-β4；
When worm screw (3) is meshed with helical gear, the lead-angle, axial plane modulus, axial plane pressure angle of worm screw (3) is taken to distinguish For γ3、mx3、αx3；Take helical gear spiral angle of graduated circle, transverse module, transverse pressure angle, normal module, normal pitch pressure angle point It Wei not β4、mt4、αt4、mn4、αn4, then must satisfy：mx3=mt4、αx3=αt4、mt4=mn4/cosβ4、 In the case that worm screw (3) is 90 degree with two axle clamp angle of helical gear, also meet β4=γ3；
When helical gear is meshed with helical rack (5), the helical angles of helical rack (5), normal module, the normal pitch pressure angle is taken to be respectively β5、mn5、αn5, then must satisfy：mn5=mn4、αn5=αn4、β5=-β4。
2. point-line meshing worm gearing according to claim 1, it is characterised in that：When the easement curve of worm screw (3) When flank profil is meshed with the involute profile of worm gear, two point contact is formed；The easement curve flank profil and helical rack (5) of worm gear are gradually When the flank profil that bursts at the seams is meshed, two point contact is formed；When the involute profile of worm screw (3) is meshed with the involute profile of worm gear When, form line contact；When the involute profile of worm gear is meshed with the involute profile of helical rack (5), line contact is formed.
3. point-line meshing worm gearing according to claim 1, it is characterised in that：When the easement curve of worm screw (3) When flank profil is meshed with helical gear involute profile, two point contact is formed；Helical gear easement curve flank profil and helical rack (5) Involute profile when being meshed, form two point contact；Involute profile when worm screw (3) and helical gear involute profile phase When engagement, line contact is formed；When helical gear involute profile is meshed with the involute profile of helical rack (5), forms line and connect It touches.
CN201810558443.0A 2018-06-01 2018-06-01 Point-line meshing worm transmission mechanism Active CN108626335B (en)

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Title
朱福先;王星星;李秀莲;周金宇;: "双压力角非对称齿轮动态接触应力有限元分析", 机械传动 *
袁东升;张伟蓬;黄海;厉海祥;: "单点线啮合齿轮齿厚测量尺寸研究", 机械 *

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