CN107273612A - Spiral bevel gear cavity plate tooth surface design method and Machining Spiral Bevel Gear method - Google Patents
Spiral bevel gear cavity plate tooth surface design method and Machining Spiral Bevel Gear method Download PDFInfo
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- CN107273612A CN107273612A CN201710448766.XA CN201710448766A CN107273612A CN 107273612 A CN107273612 A CN 107273612A CN 201710448766 A CN201710448766 A CN 201710448766A CN 107273612 A CN107273612 A CN 107273612A
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- tooth
- flank
- bull wheel
- bevel gear
- spiral bevel
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21J—FORGING; HAMMERING; PRESSING METAL; RIVETING; FORGE FURNACES
- B21J5/00—Methods for forging, hammering, or pressing; Special equipment or accessories therefor
- B21J5/02—Die forging; Trimming by making use of special dies ; Punching during forging
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21K—MAKING FORGED OR PRESSED METAL PRODUCTS, e.g. HORSE-SHOES, RIVETS, BOLTS OR WHEELS
- B21K1/00—Making machine elements
- B21K1/28—Making machine elements wheels; discs
- B21K1/30—Making machine elements wheels; discs with gear-teeth
- B21K1/305—Making machine elements wheels; discs with gear-teeth helical
Abstract
The present invention relates to a kind of spiral bevel gear cavity plate tooth surface design method and Machining Spiral Bevel Gear method.Parameter on the basis of the tooth surface parameters for the steamboat that the present invention is gone out by actual processing, with reference to bull wheel and the drive connection and face performance of steamboat, deflection after the forging of the bull wheel flank of tooth, calculate the parameter of the bull wheel flank of tooth, the parameter of the cavity plate flank of tooth for forging the bull wheel flank of tooth is obtained according to the parameter of the bull wheel flank of tooth, then the forging for processing cavity plate according to the parameter and can carrying out bull wheel using the cavity plate is processed, the bull wheel flank of tooth after forging is set to meet predetermined meshing performance with the steamboat flank of tooth, avoid the secondary operation for carrying out repair to the steamboat flank of tooth again, simplify the manufacturing procedure of spiral bevel gear, improve processing efficiency.
Description
Technical field
The present invention relates to a kind of spiral bevel gear cavity plate tooth surface design method and Machining Spiral Bevel Gear method.
Background technology
Spiral bevel gear is widely used in industry, agricultural, important mechanical transmission fields, its bearing capacity and the transmission such as national defence
Stationary performance is significantly better than straight bevel gear, and high-speed overload transmission requirement can be met well, and its excellent performance also promotes
Researcher designs it further investigation with process technology.Should with the maturation and popularization of the finish forge technology of straight bevel gear
With the precision form processing of spiral bevel gear is increasingly subject to the attention of people.Traditional gear cutting processing mode destroys gold
Belong to fibre flow tissue, reduce tooth root bending-fatigue strength, flank of tooth wearability of gear etc., meanwhile, low production efficiency, material
Utilization rate is low, and production cost is high.Therefore, existing Milling Process is replaced to be inexorable trend with precision forging.
For spiral bevel gear, its meshing characteristic, including contact patch size, position, the direction of contact point trace line, biography
Dynamic error curve shape etc. can be larger on the transmission performance influence of gear pair.At present, the general first basis of the processing of spiral bevel gear
Design parameter directly processes its bull wheel and steamboat, for the steamboat of spiral bevel gear, because its helical angle is larger, its finish forge system
Make and there is no method to carry out, current spiral bevel gear finish forge is carried out primarily directed to bull wheel, due to the deformation of the flank of tooth after bull wheel finish forge,
Circular tooth contact, the contact performance such as flank engagement trace, which can not be met, to be pre-designed, it is necessary to be re-started to the steamboat flank of tooth secondary
Finishing processing.Simultaneously as the steamboat flank of tooth is inherently complex relative to the bull wheel flank of tooth, the deformation after bull wheel forging makes steamboat
Finishing it is comparatively laborious, therefore cause also to be difficult to meet predetermined design requirement after secondary finishing, cause to vibrate and make an uproar during transmission
Sound is larger.
The content of the invention
It is an object of the invention to provide a kind of without engaged transmission requirement can be met to the secondary finishing of steamboat progress
Spiral bevel gear cavity plate tooth surface design method；The present invention also aims to provide a kind of Machining Spiral Bevel Gear method.
To achieve the above object, the technical scheme of spiral bevel gear cavity plate tooth surface design method of the invention is：
1) parameter on the basis of the tooth surface parameters of the steamboat gone out by actual processing, with reference to bull wheel and steamboat drive connection and
Deflection after face performance, the forging of the bull wheel flank of tooth, calculates the parameter of the bull wheel flank of tooth；
2) three-dimensional coordinate of the cavity plate flank of tooth for forging the bull wheel flank of tooth is obtained according to the three-dimensional coordinate point of the bull wheel flank of tooth
Point.
Process 1) specifically include following steps：
The first step, according to the actual parameter of the steamboat flank of tooth of machine tooling, derives the conjugation with a stable drive ratio relation
Bull wheel flank of tooth Π0, a pair of meshing tooth of bull wheel and steamboat is expressed as follows from engaging-in point to the gearratio relation nibbled out a little：Wherein φ2Represent the rotational angle of bull wheel, φ1The rotational angle of table steamboat, c1,c2…,cnTable
Show gearing factor；
Second step, will be conjugated bull wheel flank of tooth Π0Rotation projection is carried out around its axis, the perspective plane of the flank of tooth is obtained, it is flat to this
The face flank of tooth carries out discretization, and the coordinate for setting up each discrete point on the discrete coordinates system XOY of the flank of tooth, the flank of tooth is designated as P0 ij(Xp, Yp)；
3rd step, will be conjugated bull wheel flank of tooth Π0As reference plane, required to set up relative to conjugation bull wheel according to transmission performance
The secondary deviation curved surface of the flank of tooth, secondary deviation surface points P0 ij(Xp, Yp) deviation be expressed as：δij=a (Xpcosβ-Ypsinβ-
B), wherein, a represents profiling quantity size, and β represents to engage trace and the angle of X-axis, and b represents to engage the position of trace；
4th step, according to the deformation of tooth surface rule of the finish forge of the bull wheel gear teeth, curved surface plan is carried out to the bull wheel flank of tooth after deformation
Close, obtain corresponding teeth millet cake P0 ij(XP, YP) deflection value, Δij；
5th step, by the deviation and deflection of the flank of tooth and bull wheel conjugate tooth profiles Π0It is overlapped, obtains final suitable big
Take turns the target flank of tooth ∑ of finish forge2, any point P on the target flank of tooth2 ijCoordinate representation be r2 ij=r0 ij+n0 ij(Δij+δij)。
The targeted spiral bevel gear of spiral bevel gear cavity plate tooth surface design method is Gleason system or Ao Likang gears.
The technical scheme of Machining Spiral Bevel Gear method of the present invention is：
1) steamboat is processed according to design parameter；
2) parameter on the basis of the tooth surface parameters of the steamboat gone out by actual processing, with reference to bull wheel and steamboat drive connection and
Deflection after face performance, the forging of the bull wheel flank of tooth, calculates the three-dimensional coordinate of bull wheel flank of tooth point；
3) three-dimensional coordinate of the cavity plate flank of tooth point for forging the bull wheel flank of tooth is obtained according to the parameter of the bull wheel flank of tooth；
4) cavity plate is processed according to the parameter of the cavity plate flank of tooth of the bull wheel flank of tooth, and bull wheel is processed using cavity plate forging.
Process 2) specifically include following steps：
The first step, according to the actual parameter of the steamboat flank of tooth of machine tooling, derives the conjugation with a stable drive ratio relation
Bull wheel flank of tooth Π0, a pair of meshing tooth of bull wheel and steamboat is expressed as follows from engaging-in point to the gearratio relation nibbled out a little：Wherein φ2Represent the rotational angle of bull wheel, φ1The rotational angle of table steamboat, c1,c2…,cnTable
Show gearing factor；
Second step, will be conjugated bull wheel flank of tooth П0Rotation projection is carried out around its axis, the perspective plane of the flank of tooth is obtained, it is flat to this
The face flank of tooth carries out discretization, and the coordinate for setting up each discrete point on the discrete coordinates system XOY of the flank of tooth, the flank of tooth is designated as P0 ij(Xp, Yp)；
3rd step, will be conjugated bull wheel flank of tooth Π0As reference plane, required to set up relative to conjugation bull wheel according to transmission performance
The secondary deviation curved surface of the flank of tooth, secondary deviation surface points P0 ij(Xp, Yp) deviation be expressed as：δij=a (Xpcosβ-Ypsinβ-
B), wherein, a represents profiling quantity size, and β represents to engage trace and the angle of X-axis, and b represents to engage the position of trace；
4th step, according to the deformation of tooth surface rule of the finish forge of the bull wheel gear teeth, curved surface plan is carried out to the bull wheel flank of tooth after deformation
Close, obtain corresponding teeth millet cake P0 ij(XP, YP) deflection value, Δij；
5th step, by the deviation and deflection of the flank of tooth and bull wheel conjugate tooth profiles ∏0It is overlapped, obtains final suitable big
Take turns the target flank of tooth ∑ of finish forge2, point P on the target flank of tooth2 ijCoordinate representation be r2 ij=r0 ij+n0 ij(Δij+δij)。
The targeted spiral bevel gear of spiral bevel gear cavity plate tooth surface design method is Gleason system or Ao Likang gears.
The beneficial effects of the invention are as follows：The present invention proposes a kind of processing method of suitable Machining Spiral Bevel Gear, and it is wrapped
Parameter on the basis of including spiral bevel gear cavity plate tooth surface design method, the tooth surface parameters of the steamboat gone out by actual processing, with reference to bull wheel
The deflection after drive connection and face performance, the forging of the bull wheel flank of tooth with steamboat, calculates the parameter of the bull wheel flank of tooth,
The parameter of the cavity plate flank of tooth for forging the bull wheel flank of tooth is obtained according to the parameter of the bull wheel flank of tooth, make after forging the bull wheel flank of tooth with it is small
The wheel flank of tooth meets predetermined meshing performance, it is to avoid carries out the secondary operation of repair to the steamboat flank of tooth again, simplifies screw conic
The manufacturing procedure of gear, improves processing efficiency, and the spiral bevel gear quality processed is high, is engaged between bull wheel and steamboat
Vibration and noise are small during transmission.
Brief description of the drawings
Fig. 1 is the rotation perspective view that spiral bevel gear is conjugated bull wheel；
Fig. 2 is the position and direction schematic diagram of contact point trace line；
Fig. 3 is the schematic diagram of secondary deviation curved surface；
Fig. 4 is deformation of tooth surface figure；
Fig. 5 is contact analysis result schematic diagram；
In figure：1- tooth roots, 2- tooth tops, the predetermined contact point trace lines of 3-, a- calculates data, and the preset curves of b-, c- bull wheels corner is missed
Difference, d- steamboat corners.
Embodiment
Embodiments of the present invention are described further below in conjunction with the accompanying drawings.
The specific embodiment of the Machining Spiral Bevel Gear method of the Gleason of the present invention, as shown in Figures 1 to 5, including
Following steps：Steamboat is processed according to the design parameter of steamboat first, then passes through spiral bevel gear cavity plate tooth surface design method
Obtain the parameter of the corresponding cavity plate flank of tooth of the bull wheel flank of tooth, that is to say obtain the target flank of tooth take up an official post meaning point coordinate, finally according to big
The parameter for taking turns the cavity plate flank of tooth of the flank of tooth just can be on numerical control machining center, by the cavity plate for spiral bevel gear bull wheel finish forge
(tooth mould) is processed, and then processes bull wheel using cavity plate forging.
Wherein, the parameter of the corresponding cavity plate flank of tooth of the bull wheel flank of tooth is obtained by spiral bevel gear cavity plate tooth surface design method
Comprise the following steps that：
(1) according to the actual parameter of the steamboat flank of tooth of lathe Milling Process, the conjugation with a stable drive ratio relation is derived
Bull wheel flank of tooth ∏0。
It is as shown in the table for the machined parameters of wheel blank parameter and steamboat：
According to the theory of engagement, the bull wheel conjugate tooth profiles ∏ containing predetermined drive connection0It can be obtained according to following formula：
The small wheel flank of tooth is expressed as r in formula1(up,θp), Π0Tooth surface equation be expressed as r0(up,θp), M01It is that the steamboat flank of tooth is arrived
The coordinate conversion matrix of the bull wheel flank of tooth, V01It is the two speed of related movement at meshing point.Transmission between steamboat and bull wheel
Relation is expressed as：Wherein φ2Represent the rotational angle of bull wheel, φ1The rotational angle of table steamboat.
c1,c2…,cnGearing factor is represented, the relative fortune at meshing point can be obtained according to drive connection and position vector
Dynamic speed V01。
(2) will conjugation bull wheel flank of tooth Π0Rotation projection is carried out around its axis, the perspective plane Γ of the bull wheel flank of tooth is obtained0, to this
Plane flank of tooth discretization, carries out row, column mesh generation, sets up the coordinate per discrete point on the discrete coordinates system XOY of the flank of tooth, the flank of tooth
It is designated as P0 ij(Xp, Yp), i, j represents row, column number a little.
(3) bull wheel flank of tooth ∑ will be conjugated0As reference plane, correction of the flank shape is carried out to the conjugation bull wheel flank of tooth, along contact point trace line direction
Not correction of the flank shape, to other regions of the bull wheel flank of tooth carry out correction of the flank shape, profiling quantity number according to the size and Orientation of Contact Ellipse determine.Root
Require to set up the secondary deviation curved surface ∑ relative to the conjugation bull wheel flank of tooth according to transmission performanceδ, P0 ij(Xp, Yp) deviation be expressed as：
δij=a (Xpcosβ-Ypsinβ-b)
Wherein, a represents profiling quantity size, takes 0.000755, β to represent to engage trace and the angle of X-axis, is taken as 40 degree, b tables
Show the position of engagement trace, take -2mm.
(4) according to the deformation of tooth surface rule of the finish forge of the bull wheel gear teeth, surface fitting is carried out to the bull wheel flank of tooth after deformation, obtained
To Fitting surface ∑Δ, obtain correspondence flank of tooth P0 ij(Xp, Yp) point deflection value, Δij。
(5) by the deviation and deflection of the bull wheel flank of tooth and bull wheel conjugate tooth profiles Π0It is overlapped, obtains final suitable big
Take turns the target tooth surface parameters ∑ of finish forge2.Point P on the target flank of tooth2 ijCoordinate representation be r2 ij=r0 ij+n0 ij(Δij+δij), therefore
Can obtain the target flank of tooth take up an official post meaning point coordinate.
Above example is only used for the core concept for helping to understand the present invention, it is impossible to the present invention is limited with this, for ability
The technical staff in domain, every thought according to the present invention is modified or equivalent substitution to the present invention, in embodiment
And any change done in application, it should be included in the scope of the protection.
The Machining Spiral Bevel Gear method of the present invention cannot be only used for the spiral bevel gear of Gleason, it can also be used to Ao Li
Health, or other tooth forms spiral bevel gear.
The implementation of the spiral bevel gear cavity plate tooth surface design method of the present invention and the Machining Spiral Bevel Gear method of the present invention
Example in spiral bevel gear cavity plate tooth surface design method it is identical, repeat no more.
Claims (6)
1. spiral bevel gear cavity plate tooth surface design method, it is characterized in that,
1) parameter on the basis of the tooth surface parameters of the steamboat gone out by actual processing, with reference to bull wheel and the drive connection and the flank of tooth of steamboat
Deflection after contact performance, the forging of the bull wheel flank of tooth, calculates the three-dimensional coordinate point of the bull wheel flank of tooth；
2) three-dimensional coordinate point of the cavity plate flank of tooth for forging the bull wheel flank of tooth is obtained according to the three-dimensional coordinate point of the bull wheel flank of tooth.
2. spiral bevel gear cavity plate tooth surface design method according to claim 1, it is characterized in that, process 1) specifically include with
Lower step：
The first step, according to the actual parameter of the steamboat flank of tooth of machine tooling, derives the conjugation bull wheel with a stable drive ratio relation
Flank of tooth Π0, a pair of meshing tooth of bull wheel and steamboat is expressed as follows from engaging-in point to the gearratio relation nibbled out a little：Wherein φ2Represent the rotational angle of bull wheel, φ1The rotational angle of table steamboat, c1,c2…,cnTable
Show gearing factor；
Second step, will be conjugated bull wheel flank of tooth Π0Rotation projection is carried out around its axis, the perspective plane of the flank of tooth is obtained, to the plane flank of tooth
Discretization is carried out, the coordinate for setting up each discrete point on the discrete coordinates system XOY of the flank of tooth, the flank of tooth is designated as
3rd step, will be conjugated bull wheel flank of tooth Π0As reference plane, required to set up relative to the conjugation bull wheel flank of tooth according to transmission performance
Secondary deviation curved surface, secondary deviation surface points P0 ij(Xp, Yp) deviation be expressed as：δij=a (Xpcosβ-YpSin β-b), its
In, a represents profiling quantity size, and β represents to engage trace and the angle of X-axis, and b represents to engage the position of trace；
4th step, according to the deformation of tooth surface rule of the finish forge of the bull wheel gear teeth, carries out surface fitting to the bull wheel flank of tooth after deformation, obtains
Obtain corresponding teeth millet cake P0 ij(XP, YP) deflection value, Δij；
5th step, by the deviation and deflection of the flank of tooth and bull wheel conjugate tooth profiles Π0It is overlapped, obtains final suitable bull wheel essence
The target flank of tooth ∑ of forging2, any point P on the target flank of tooth2 ijCoordinate representation be r2 ij=r0 ij+n0 ij(Δij+δij)。
3. spiral bevel gear cavity plate tooth surface design method according to claim 1 or 2, it is characterized in that, spiral bevel gear is recessed
The targeted spiral bevel gear of mould tooth surface design method is Gleason system or Ao Likang gears.
4. Machining Spiral Bevel Gear method, it is characterized in that,
1) steamboat is processed according to design parameter；
2) parameter on the basis of the tooth surface parameters of the steamboat gone out by actual processing, with reference to bull wheel and the drive connection and the flank of tooth of steamboat
Deflection after contact performance, the forging of the bull wheel flank of tooth, calculates the three-dimensional coordinate point of the bull wheel flank of tooth；
3) three-dimensional coordinate point of the cavity plate flank of tooth for forging the bull wheel flank of tooth is obtained according to the three-dimensional coordinate point of the bull wheel flank of tooth；
4) cavity plate is processed according to the parameter of the cavity plate flank of tooth of the bull wheel flank of tooth, and bull wheel is processed using cavity plate forging.
5. Machining Spiral Bevel Gear method according to claim 4, it is characterized in that, process 2) specifically include following steps：
The first step, according to the actual parameter of the steamboat flank of tooth of machine tooling, derives the conjugation bull wheel with a stable drive ratio relation
The parameter Π of the flank of tooth0, a pair of meshing tooth of bull wheel and steamboat is expressed as follows from engaging-in point to the gearratio relation nibbled out a little：Wherein φ2Represent the rotational angle of bull wheel, φ1The rotational angle of table steamboat, c1,c2…,cnTable
Show gearing factor；
Second step, will be conjugated bull wheel flank of tooth Π0Rotation projection is carried out around its axis, the perspective plane of the flank of tooth is obtained, to the plane flank of tooth
Discretization is carried out, the coordinate for setting up each discrete point on the discrete coordinates system XOY of the flank of tooth, the flank of tooth is designated as P0 ij(Xp, Yp)；
3rd step, will be conjugated bull wheel flank of tooth Π0As reference plane, required to set up relative to the conjugation bull wheel flank of tooth according to transmission performance
Secondary deviation curved surface, secondary deviation surface points P0 ij(Xp, Yp) deviation be expressed as：δij=a (Xpcosβ-YpSin β-b), its
In, a represents profiling quantity size, and β represents to engage trace and the angle of X-axis, and b represents to engage the position of trace；
4th step, according to the deformation of tooth surface rule of the finish forge of the bull wheel gear teeth, carries out surface fitting to the bull wheel flank of tooth after deformation, obtains
Flank of tooth P must be corresponded to0 ij(XP, YP) point deflection value, Δij；
5th step, by the deviation and deflection of the flank of tooth and bull wheel conjugate tooth profiles ∑0It is overlapped, obtains final suitable bull wheel essence
The target flank of tooth ∑ of forging2, any point P on the target flank of tooth2 ijCoordinate representation be r2 ij=r0 ij+n0 ij(Δij+δij)。
6. the Machining Spiral Bevel Gear method according to claim 4 or 5, it is characterized in that, the spiral bevel gear cavity plate flank of tooth is set
The targeted spiral bevel gear of meter method is Gleason system or Ao Likang gears.
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Cited By (7)
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| CN107992698A (en) * | 2017-12-13 | 2018-05-04 | 长安大学 | A kind of spiral bevel gear Tooth Contact Analysis method |
| CN108953550A (en) * | 2018-08-01 | 2018-12-07 | 中南大学 | The point tooth surface design method of spur gear |
| CN109241613A (en) * | 2018-08-31 | 2019-01-18 | 西安交通大学 | A kind of cutter root relief parameter determination method of spiral bevel gear |
| CN109604736A (en) * | 2019-01-23 | 2019-04-12 | 河南科技大学 | A method of utilizing Cutter Body Processing with Machining Center spiral bevel gear |
| CN111666645A (en) * | 2020-06-24 | 2020-09-15 | 中国航发中传机械有限公司 | Modeling method, system and medium for spiral bevel gear based on discrete point data |
| CN117195592A (en) * | 2023-11-06 | 2023-12-08 | 龙门实验室 | Interference-free part selection and matching method for cycloidal gear reducer rotating arm bearing |
| CN117260265A (en) * | 2023-09-28 | 2023-12-22 | 江兴(淮安)汽车部件有限公司 | Automobile brake piston production method and system |
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Cited By (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107992698A (en) * | 2017-12-13 | 2018-05-04 | 长安大学 | A kind of spiral bevel gear Tooth Contact Analysis method |
| CN107992698B (en) * | 2017-12-13 | 2021-03-16 | 长安大学 | Tooth surface contact analysis method for spiral bevel gear |
| CN108953550A (en) * | 2018-08-01 | 2018-12-07 | 中南大学 | The point tooth surface design method of spur gear |
| CN109241613A (en) * | 2018-08-31 | 2019-01-18 | 西安交通大学 | A kind of cutter root relief parameter determination method of spiral bevel gear |
| CN109241613B (en) * | 2018-08-31 | 2020-07-28 | 西安交通大学 | Method for determining cutter root trimming parameters of spiral bevel gear |
| CN109604736A (en) * | 2019-01-23 | 2019-04-12 | 河南科技大学 | A method of utilizing Cutter Body Processing with Machining Center spiral bevel gear |
| CN111666645A (en) * | 2020-06-24 | 2020-09-15 | 中国航发中传机械有限公司 | Modeling method, system and medium for spiral bevel gear based on discrete point data |
| CN117260265A (en) * | 2023-09-28 | 2023-12-22 | 江兴(淮安)汽车部件有限公司 | Automobile brake piston production method and system |
| CN117195592A (en) * | 2023-11-06 | 2023-12-08 | 龙门实验室 | Interference-free part selection and matching method for cycloidal gear reducer rotating arm bearing |
| CN117195592B (en) * | 2023-11-06 | 2024-01-26 | 龙门实验室 | Interference-free part selection and matching method for cycloidal gear reducer rotating arm bearing |
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