CN107965550A - A kind of arcwall face contacts Worm Wheel System power set - Google Patents
A kind of arcwall face contacts Worm Wheel System power set Download PDFInfo
- Publication number
- CN107965550A CN107965550A CN201711225732.0A CN201711225732A CN107965550A CN 107965550 A CN107965550 A CN 107965550A CN 201711225732 A CN201711225732 A CN 201711225732A CN 107965550 A CN107965550 A CN 107965550A
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- Prior art keywords
- worm
- worm screw
- wheel
- flank
- tooth
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Classifications
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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
- F16H1/00—Toothed gearings for conveying rotary motion
- F16H1/02—Toothed gearings for conveying rotary motion without gears having orbital motion
- F16H1/04—Toothed gearings for conveying rotary motion without gears having orbital motion involving only two intermeshing members
- F16H1/12—Toothed gearings for conveying rotary motion without gears having orbital motion involving only two intermeshing members with non-parallel axes
- F16H1/16—Toothed gearings for conveying rotary motion without gears having orbital motion involving only two intermeshing members with non-parallel axes comprising worm and worm-wheel
-
- 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)
Abstract
A kind of arcwall face contacts Worm Wheel System power set, belongs to staircase speed reducer field, and arcwall face is contacted in Worm Wheel System, and worm screw uses bull Curved circular worm screw；Based on evolution fish-swarm algorithm, worm and gear optimized mathematical model is established, parameter optimization is carried out to worm gear pair, to obtain the meshing performance of the flank of tooth；Flank of tooth Curvature modification is carried out to worm screw based on grinding, flank engagement is contacted for arcwall face, the steady gradual change of instantaneous contact line of worm and gear, be uniformly distributed；The instantaneous contact line of the flank of tooth is perpendicular to the direction of the flank of tooth relative motion of worm gear and worm screw.After the present apparatus optimizes intermeshing worm gear and worm screw, flank of tooth Curvature modification has been carried out to worm screw, flank engagement is set to be contacted as arcwall face, eliminate installation error, and make worm gear pair normal for tooth surface direction perpendicular to worm gear and the flank of tooth relative velocity direction of worm screw, to make intermeshing worm gear and worm screw obtain good greasy property.
Description
Technical field
The present invention is applied to staircase speed reducer field, more particularly to a kind of arcwall face contact worm and wormwheel for staircase passes
Dynamic power set.
Background technology
Gear reducer plays a part of to match rotating speed between prime mover and working machine or executing agency and transmits torque.With subtracting
The application and development of fast machine industrially, the design and manufacture level of China's gear reducer are gradually improved, but for worm speed-down
The Worm Wheel System of machine, the shape of the gear teeth not only influences whether worm geared kinetic characteristic, but also also affects worm screw
The power performance of worm-drive.In order to adapt to modernize the development trend produced greatly, people constantly probe into tooth profile tooth form, existing
Have under technology, always have mesh impact at the tooth root and tooth top of worm gear pair, the carrying energy of worm screw auxiliary driving can be greatly reduced
Power and service life, also increase speed reducer drive noise, influence transmission accuracy.
The content of the invention
For above-mentioned existing issue, the present invention provides a kind of arcwall face contact Worm Wheel System power set, has knot
Structure is compact, load-carrying properties are good, operate steadily, low noise and the advantages of the high life.
The present invention includes turbine, worm screw, and worm screw is bull Curved circular worm screw, and turbine, the flank engagement of worm screw are arc
Face contacts, and the instantaneous contact line of the flank of tooth is perpendicular to the direction of the flank of tooth relative motion of turbine and worm screw；
Based on evolution fish-swarm algorithm, worm screw optimized mathematical model is established, worm screw optimized mathematical model is drawn by such as following formula：
Wherein：σ is penalty coefficient, and f (x) is unified target function, gi (x) it is constraints；
It is above-mentioned that parameter optimization is carried out to worm screw, become using emery wheel flank profil arc radius ρ, axial module m, lead angle γ as design
Using induced normal curvature and meshing area as object function, unification is processed into using weigthed sums approach by amount for two object functions
Object function, up-and-down boundary constraint is carried out to design variable, and performance constraints are used as so that worm and gear tooth top is thick.
The present invention carries out flank of tooth Curvature modification based on grinding to worm screw, flank engagement is contacted as arcwall face, disappears
Except installation error, while make the steady gradual change in instant contact face of worm and gear, be uniformly distributed, and make instantaneous contact line perpendicular to snail
The direction of the flank of tooth relative motion of wheel and worm screw, to make intermeshing worm gear and worm screw obtain good greasy property.
Bull Curved circular worm screw of the present invention carries out grinding using disk wheel, according to the work of disk wheel
Surface equation is derived from the contact surface equation of worm screw with actual processing parameter.
The present invention is ground worm screw by saucer wheel, between saucer wheel and worm screw, worm axis and emery wheel
Generation anchor ring axis is installed using worm indexing cylinder helix angle as established angle；During grinding, worm screw is with certain spiral
Characterisitic parameter is for the helical movement, while abrasive grinding wheel rotates around own axes and carries out worm tooth-surface grinding.
The worm screw of the present invention is processed using disk wheel, optimizes dynamic engagement performance, it is not necessary to manufacture snail
Hobboing cutter is taken turns, the problem of conventionally manufactured middle worm gear hob is difficult to manufacture is overcome, reduces manufacture cost.
The contact surface equation of the worm gear is drawn as follows：
K2For the instant contact face equation of worm gear, K1For the instant contact face equation of worm screw,φ 1For the rotational angle of worm screw,φ 2
For the rotational angle of worm gear, a is the centre-to-centre spacing of worm and gear, coordinate systemS 1It is space moving coordinate system, it is mutually connected firmly with worm screw,k 1
Axis is overlapped with worm axis；Coordinate systemS σ And space moving coordinate system, it is connected with anchor ring disk wheel, and emery wheel axis
Just withk σ Axis coincides；Coordinate systemS w It is space position fixing system,k w Axis withk 1Overlapping of axles；Coordinate systemS p Be in order to express worm screw with
Movement relation between worm gear and the space auxiliary position fixing system established.
Brief description of the drawings
Fig. 1 is the schematic diagram of saucer wheel machining worm；
Fig. 2 is worm gear and the coordinate system schematic diagram of worm engaging；
Fig. 3 is the mesh schematic representation that arcwall face contacts Worm Wheel System pair；
Fig. 4 is worm and gear contact surface distribution situation schematic diagram.
Specific embodiment
A kind of arcwall face for staircase contacts Worm Wheel System power set, and worm screw is added by disk wheel
Work.Fig. 1 is disk wheel machining worm schematic diagram.First, according to the tooth surface equation of disk wheel and actual processing parameter, then
The tooth surface equation of worm screw is determined with reference to worm screw design principle as shown in the figure, when carrying out worm screw processing, in machining worm, worm screw
The generation anchor ring of axis and emery wheel（Generating surface）Axis is installed using worm indexing cylinder helix angle as established angle；Snail
Bar is for the helical movement with certain spinning behaviour parameter, while abrasive grinding wheel rotates around own axes and carries out worm tooth-surface
Grinding, so as to process worm screw.Then, according to the tooth surface equation and space meshing theory of worm screw, according to worm gear and worm screw
Installation site, draws the tooth surface equation with the worm gear of worm screw total conjugated.
As shown in Fig. 2, worm screw aroundk 1Axis rotate, worm gear aroundk σ Axis rotates,S 1(O 1, i 1, j 1, k 1),S σ (O σ , i σ , j σ ,k σ ),S w (O w , i w , j w , k w ),S p (O p , i p , j p , k p ).Wherein, coordinate systemS 1(O 1, i 1, j 1, k 1) it is that seat is moved in space
Mark system, it is mutually connected firmly with worm screw,k 1Axis is overlapped with worm axis；Coordinate systemS σ (O σ , i σ , j σ , k σ ) it is also space moving axes
System, it is connected with anchor ring disk wheel, and emery wheel axis just withk σ Axis coincides；Coordinate systemS w (O w , i w , j w , k w )
It is space position fixing system,k w Axis withk 1Overlapping of axles；Coordinate systemS p (O p , i p , j p , k p ) it is to express between worm and wheel
Movement relation and the space auxiliary position fixing system established,k p Axis withk σ Axis coincides,i p Axis withi w Axis coincides.Bull curved circular
Column worm screw carries out grinding using disk wheel, and the instant contact face equation of worm screw is according to the working surface equation of disk wheel
It is derived from actual processing parameter, the instant contact face equation such as following formula of worm gear：
Based on evolution fish-swarm algorithm, worm screw optimized mathematical model is established, parameter optimization is carried out to worm screw, to improve the engagement of the flank of tooth
Performance；Using emery wheel flank profil arc radius ρ, axial module m, lead angle γ as design variable, with induced normal curvature and region of engagement
Area is object function, and two object functions are processed into unified target function using weigthed sums approach, and design variable is carried out
Up-and-down boundary constrains, and using worm and gear tooth top thickness as performance constraints, and must assure that on worm tooth-surface to be not in that root is cut
Phenomenon.Worm screw optimized mathematical model is as follows：
Wherein：σ is penalty coefficient, and f (x) is unified target function, gi (x) it is every constraints.
Induced normal curvature value before and after calculation optimization is with the value of meshing area, the induced normal curvature value ratio after must can optimizing
Diminish before optimization, meshing area illustrates that flank of tooth optimization method is feasible than becoming larger before optimization.
It is illustrated in figure 3 the mesh schematic representation of arcwall face contact Worm Wheel System pair, worm and wheel engaged transmission.Root
According to the spiral instant contact face equation and space meshing theory of worm screw, according to the installation site of worm and gear, worm gear is drawn
Instant contact face equation.
It is illustrated in figure 4 the contact line schematic diagram of worm and gear mesh tooth face, 1,2,3 in Fig. 4 represent instantaneous contact lines,
Point region represents face contact region of engagement.The curvature of worm tooth-surface is modified, makes flank of tooth Curvature modification rule and worm and gear
The normal curvature radius change of direction of relative movement is consistent between the flank of tooth, so that flank engagement contacts as arcwall face, it is good to be formed
Lubricating status.
In the present embodiment when carrying out worm screw processing, worm screw is for the helical movement with certain spinning behaviour parameter, grinds at the same time
Cut emery wheel around own axes rotate carry out worm tooth-surface grinding.
Above description is explanation of the invention, is not the restriction to invention, limited range of the present invention is referring to right
It is required that in the case of the basic structure without prejudice to the present invention, the present invention can make any type of modification.
Claims (4)
1. a kind of arcwall face contacts Worm Wheel System power set, including turbine, worm screw, it is characterised in that worm screw is bull arc
Shape cylindrical worm, turbine, the flank engagement of worm screw are arcwall face contact, and the instantaneous contact line of the flank of tooth is perpendicular to turbine and worm screw
The direction of flank of tooth relative motion；Worm screw is processed using saucer wheel；
Based on evolution fish-swarm algorithm, worm screw optimized mathematical model is established, worm screw optimized mathematical model is drawn by such as following formula：
Wherein：σ is penalty coefficient, and f (x) is unified target function, gi (x) it is constraints；
It is above-mentioned that parameter optimization is carried out to worm screw, become using emery wheel flank profil arc radius ρ, axial module m, lead angle γ as design
Using induced normal curvature and meshing area as object function, unification is processed into using weigthed sums approach by amount for two object functions
Object function, up-and-down boundary constraint is carried out to design variable, and performance constraints are used as so that worm and gear tooth top is thick.
2. a kind of arcwall face contact Worm Wheel System power set according to claim 1, it is characterised in that described more
Head Curved circular worm screw carries out grinding using disk wheel, is joined according to the working surface equation of disk wheel and actual processing
Number is derived from the contact surface equation of worm screw.
A kind of 3. arcwall face contact Worm Wheel System power set according to claim 1, it is characterised in that dish-type sand
Wheel is ground worm screw, and between saucer wheel and worm screw, the generation anchor ring axis of worm axis and emery wheel is with worm indexing
Cylindrical screw lift angle is installed for established angle；During grinding, worm screw is for the helical movement with certain spinning behaviour parameter, grinds at the same time
Cut emery wheel around own axes rotate carry out worm tooth-surface grinding.
A kind of 4. arcwall face contact Worm Wheel System power set according to claim 1, it is characterised in that the snail
The contact surface equation of wheel is drawn as follows：
K2For the instant contact face equation of worm gear, K1For the instant contact face equation of worm screw,φ 1For the rotational angle of worm screw,φ 2For
The rotational angle of worm gear, a be worm and gear centre-to-centre spacing, coordinate systemS 1It is space moving coordinate system, it is mutually connected firmly with worm screw,k 1Axis
Overlapped with worm axis；Coordinate systemS σ And space moving coordinate system, it is connected with anchor ring disk wheel, and emery wheel axis is just
It is good withk σ Axis coincides；Coordinate systemS w It is space position fixing system,k w Axis withk 1Overlapping of axles；Coordinate systemS p It is to express worm screw and snail
Movement relation between wheel and the space auxiliary position fixing system established.
Priority Applications (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201711225732.0A CN107965550A (en) | 2017-11-29 | 2017-11-29 | A kind of arcwall face contacts Worm Wheel System power set |
| PCT/CN2017/117416 WO2019104777A1 (en) | 2017-11-29 | 2017-12-20 | Arc-shaped surface contact-based worm and worm gear transmission type power device |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201711225732.0A CN107965550A (en) | 2017-11-29 | 2017-11-29 | A kind of arcwall face contacts Worm Wheel System power set |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN107965550A true CN107965550A (en) | 2018-04-27 |
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Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201711225732.0A Withdrawn CN107965550A (en) | 2017-11-29 | 2017-11-29 | A kind of arcwall face contacts Worm Wheel System power set |
Country Status (2)
| Country | Link |
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| CN (1) | CN107965550A (en) |
| WO (1) | WO2019104777A1 (en) |
Cited By (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108561519A (en) * | 2018-06-01 | 2018-09-21 | 江苏理工学院 | A kind of large pressure angle worm gearing |
| 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 |
| CN109543340A (en) * | 2018-12-07 | 2019-03-29 | 海安县申菱电器制造有限公司 | A kind of modeling method of nonlinear contact arc-shaped tooth |
| CN111306257A (en) * | 2020-03-27 | 2020-06-19 | 海安市申菱电器制造有限公司 | Arc-shaped surface contact worm and gear transmission power device |
| CN112628359A (en) * | 2021-01-11 | 2021-04-09 | 郝子豪 | Rolling worm gear power machine |
| CN113076616A (en) * | 2021-04-30 | 2021-07-06 | 重庆大学 | Worm gear master machine precision active design distribution method considering full-error information factors |
| CN113127993A (en) * | 2021-04-27 | 2021-07-16 | 重庆大学 | Worm wheel razor and its design method and shape-modifying method |
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Cited By (13)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108561519A (en) * | 2018-06-01 | 2018-09-21 | 江苏理工学院 | A kind of large pressure angle worm gearing |
| 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 |
| CN108775379B (en) * | 2018-06-01 | 2023-04-28 | 江苏理工学院 | Big pressure angle double worm drive mechanism |
| CN108775378B (en) * | 2018-06-01 | 2023-04-28 | 江苏理工学院 | Large-pressure-angle worm lifting mechanism |
| CN108561519B (en) * | 2018-06-01 | 2023-04-28 | 江苏理工学院 | Large-pressure-angle worm transmission mechanism |
| CN109543340A (en) * | 2018-12-07 | 2019-03-29 | 海安县申菱电器制造有限公司 | A kind of modeling method of nonlinear contact arc-shaped tooth |
| CN111306257A (en) * | 2020-03-27 | 2020-06-19 | 海安市申菱电器制造有限公司 | Arc-shaped surface contact worm and gear transmission power device |
| CN112628359A (en) * | 2021-01-11 | 2021-04-09 | 郝子豪 | Rolling worm gear power machine |
| CN113127993B (en) * | 2021-04-27 | 2023-03-17 | 重庆大学 | Worm gear shaver and design method and modification method thereof |
| CN113127993A (en) * | 2021-04-27 | 2021-07-16 | 重庆大学 | Worm wheel razor and its design method and shape-modifying method |
| CN113076616B (en) * | 2021-04-30 | 2022-11-11 | 重庆大学 | Worm gear master machine precision active design distribution method considering full-error information factors |
| CN113076616A (en) * | 2021-04-30 | 2021-07-06 | 重庆大学 | Worm gear master machine precision active design distribution method considering full-error information factors |
Also Published As
| Publication number | Publication date |
|---|---|
| WO2019104777A1 (en) | 2019-06-06 |
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Application publication date: 20180427 |