CN103934513B - A kind of processing method of overlikon spiral bevel gear - Google Patents
A kind of processing method of overlikon spiral bevel gear Download PDFInfo
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Abstract
The invention discloses a kind of processing method of overlikon spiral bevel gear, comprise the following steps: (1) is determined to produce shape wheel basic parameter; (2) determine to be formed the forms of motion producing the shape wheel flank of tooth; (3) determine to produce shape wheel axial modification; (4) planning forms the cutter path producing the shape wheel flank of tooth; (5) motion of producing shape wheel Generating gear is determined; (6) generate to processed gear is completed.Tool of the present invention has the following advantages and effect: (1), relative to Klingelnberg method, cutter head structure greatly simplifies, and does not need cross slides, and rigidity improves; Relative to Oerlikon method, Bu Xu tilt mechanism, machine tool structure greatly simplifies, and rigidity improves; (2) overlikon spiral bevel gear and hypoid gear can processed without on tilt shaking tray class bevel gear tooth milling machine; (3) Tooth Face Correction passes through software simulating; (4) position of face spot, the second order pre-control of size and shape can be realized; (5) the second order pre-control of the transmission error required can be realized; (6) overlikon spiral bevel gear that also can process total conjugated is in theory secondary.
Description
Technical field
The invention belongs to Gear Processing field, be specifically related to a kind of processing method of overlikon spiral bevel gear.
Background technology
Overlikon spiral bevel gear is gained the name because its product shape wheel tooth trace is cyclo-palloid curve.This kind of gear is equal-depth teeth, adopts plane to produce shape wheel continuous division (Face-hobbing) processing.The processing method of overlikon spiral bevel gear mainly contains two kinds, is the split cutterhead method of German crin Gen Beierge (Klingelnberg) company respectively, Spirac and the Spiroflex method of Switzerland Ao Likang (Oerlikon) company.
Overlikon spiral bevel gear imaginary plane produce shape wheel generating surface Forming Theory: cutterhead and produce shape wheel respectively have one round as a ball, relative to the motion of producing shape wheel, cutterhead can be regarded that cutterhead is round as a ball as and make pure rolling on product shape wheel is round as a ball, i.e. cutterhead rolling diameter and produce the ratio that shape take turns rolling diameter and equal cutterhead cutter tooth group number and produce the ratio of shape tooth number.When cutterhead is round as a ball on producing shape wheel and be round as a ball during pure rolling, blade take turns relative to product shape the curved surface scanned out and is and produces the shape wheel flank of tooth, and the point on blade is cyclo-palloid curve producing the track that shape takes turns in plane.The flank of tooth of processed gear forms by producing shape gear teeth bread network.In actual processing, produce shape wheel with the representative of lathe shaking tray, its cutterhead cutter tooth is divided into some groups, and often group has an interior cutter and an outer cutter at least, processes convex surface and the concave surface of processed gear respectively.
Overlikon spiral bevel gear can process the gear pair of total conjugated in theory, but in order to realize the localized contact of actual requirement, Klingelnberg adopts the split cutterhead that frame for movement is very complicated, and Oerlikon adopts and calculates complicated tilt method.At present, split type cutterhead and arc edge combine by Klingelnberg, carry out the correction of the flank shape of tooth depth direction by arc edge, realize " cydariform " of tooth length direction by changing inside and outside cutter axis eccentric throw.
Near Gleason and Klingelnberg has invented the numerical control bevel gear lathe of six-axis linkage, eliminates lathe shaking tray during the last ten years, and adopt carbide alloy pointed tooth bar solid cutter hypoid format tilt processing overlikon spiral bevel gear, part lathe can high-speed dry be cut.But the theoretical foundation of processing method does not all have the change of internal.
In sum, existing overlikon spiral bevel gear processing method mainly contains following limitation:
1) Klingelnberg adopts split type cutterhead, and inside and outside cutter tooth is contained in two pieces independently on cutter hub respectively, mutually embeds and stacks, and realize inside and outside cutter hub by cross slides eccentric, structure is very complicated, and design difficulty of processing is large.Split type cutterhead and crosshead shoe structure cause lathe rigidity poor, and meanwhile, split type cutterhead can not carry out high-speed dry and cut processing;
2) Oerlikon adopts hypoid format tilt processing, overcomes " gram " defect processed, but lathe increases tilt swivel mechanism, and machine tool structure is complicated and calculating adjustment is complicated;
3) traditional Klingelnberg and Oerlikon method all directly can not specify the position of contact zone, needs trial cut repeatedly, and the contact (area) pattern of gear pair and curve movement control difficulty.
Summary of the invention
The object of the invention is to the shortcoming overcoming above-mentioned prior art, provide a kind of processing method of overlikon spiral bevel gear, the method adopts monoblock type cutterhead, can process overlikon spiral bevel gear and hypoid gear without the need to tilt.
For achieving the above object, the processing method of overlikon spiral bevel gear of the present invention comprises the following steps:
1) determine the basic parameter producing shape wheel, wherein, produce shape tooth number
z
1for little tooth number, z
2for large tooth number;
for gear pair pitch cone angle correction, δ
01for steamboat pitch cone angle, δ
02for bull wheel pitch cone angle; When the gear of required processing is bevel gear, produce the mean cone distance that shape wheel Mean radius equals processed gear pair, the mean spiral angle producing shape wheel equals the nominal helical angle of processed gear pair; When the gear of required processing is hypoid gear, produce the mean cone distance that shape wheel Mean radius equals bull wheel, the mean spiral angle producing shape wheel equals the mean spiral angle of bull wheel;
2) determine the movement relation of producing shape wheel and cutter, wherein, producing shape wheel with the movement relation of cutter is:
Wherein, θ
cfor forming the product shape wheel corner producing the shape wheel flank of tooth, θ
kfor monoblock type cutterhead corner, θ
k0for calculating monoblock type cutterhead corner during cutter spacing value, θ
kMfor the monoblock type cutterhead corner that selected flank of tooth reference point is corresponding, θ
kI, KEfor the monoblock type cutterhead corner that chamfering start position on facewidth direction is corresponding, I represents little chamfer starting point, and E is large chamfer starting point, c
nfor longitudinal cydariform correction factor, n is even number;
3) the second order contact performance of processed gear male and fomale(M&F) reference point is determined according to the flank of tooth localized contact requirement of processed gear and the chamfering of tooth length direction, and determine that the flank of tooth producing shape wheel is practiced Buddhism or Taoism parameter according to described second order contact performance, the flank of tooth producing shape wheel parameter of practicing Buddhism or Taoism comprises the cutting arc radius ρ of cutter and produces shape and take turns longitudinal cydariform correction factor c
n;
4) the actual motion relation of producing shape wheel and cutter is determined according to the axial modification parameter of producing shape wheel, wherein, on monoblock type cutterhead, any one period of motion of same group of cutter tooth comprises the transition region between the effective cutting region of interior cutter, transition region with inside and outside group cutter tooth between cutter, the effective cutting region of outer cutter and adjacent sets cutter tooth all successively, and cutter tooth moves according to formula (1) in the effective cutting region of interior cutter and the effective cutting region of outer cutter;
5) movement relation of producing shape wheel Generating gear is determined, and according to described product shape wheel and the actual motion relation of cutter and produces the processing that movement relation that shape take turns Generating gear carries out gear, the gear processed needed for obtaining.
Step 4) in produce shape wheel Generating gear movement relation be produce shape wheel and the angular speed ratio of processed gear
wherein, z
ifor the processed gear number of teeth, z
pfor producing shape tooth number.
Step 3) in the flank of tooth localized contact of processed gear require to include the tangential direction of the position of reference point, the size of reference point instantaneous contact ellipse major axis and direction and reference point place contact point of gear surface trace;
Described tooth length direction chamfering comprises the large end of the gear teeth and the original position of small end along facewidth direction chamfering and the size of chamfering amount.
Described correction of the flank shape is taken turns the basic flank of tooth and steamboat and is produced shape for producing shape to bull wheel and take turns the basic flank of tooth one of them carries out correction of the flank shape or both carry out correction of the flank shape simultaneously.
The present invention has following beneficial effect:
The processing method of overlikon spiral bevel gear of the present invention is in the process of Gear Processing, first determine the number of teeth of producing shape wheel, the mean spiral angle producing shape wheel Mean radius, produce shape wheel, determine that producing shape takes turns with the relative motion relation of cutter and produce the movement relation that shape takes turns Generating gear again, then according to producing shape wheel and the relative motion relation of cutter and producing the processing that movement relation that shape takes turns Generating gear carries out gear, thus the processing of gear can be completed by monoblock type cutterhead.In addition, on monoblock type cutterhead, any one period of motion of same group of cutter tooth comprises the effective cutting region of interior cutter all successively, with the transition region inside and outside group cutter tooth between cutter, transition region between the effective cutting region of outer cutter and adjacent sets cutter tooth, cutter tooth moves with the relative motion relation of cutter according to producing shape wheel in the effective cutting region of interior cutter and the effective cutting region of outer cutter, thus improve the precision of Gear Processing, relative to Klingelnberg method, cutter head structure greatly simplifies, do not need cross slides, effectively raise the rigidity of cutterhead, relative to Oerlikon method, Bu Xu tilt mechanism, simplify machine tool structure, effectively raise the rigidity of lathe.
Accompanying drawing explanation
Fig. 1 is the outline drawing of cutter of the present invention;
Fig. 2 is that plane of the present invention produces shape wheel schematic diagram;
Fig. 3 is that cutterhead of the present invention takes turns movement relation schematic diagram with product shape;
Fig. 4 adopts by the embodiment of the present invention outline drawing of cutter.
Detailed description of the invention
Below in conjunction with accompanying drawing, the present invention is described in further detail:
With reference to figure 1, Fig. 2 and Fig. 3, wherein, Fig. 1 (a) is rectilinear edge, Fig. 1 (b) is Roound edge, Fig. 3 (a) is for producing shape wheel and cutterhead relative position schematic diagram, Fig. 3 (b) is for producing shape wheel and cutterhead angle relation curve map, and the processing method of overlikon spiral bevel gear of the present invention comprises the following steps:
1) determine the basic parameter producing shape wheel, wherein, produce shape tooth number
z
1for little tooth number, z
2for large tooth number;
for gear pair pitch cone angle correction, δ
01for steamboat pitch cone angle, δ
02for bull wheel pitch cone angle; When the gear of required processing is bevel gear, produce the mean cone distance that shape wheel Mean radius equals processed gear pair, the mean spiral angle producing shape wheel equals the nominal helical angle of processed gear pair; When the gear of required processing is hypoid gear, produce the mean cone distance that shape wheel Mean radius equals bull wheel, the mean spiral angle producing shape wheel equals the mean spiral angle of bull wheel;
2) determine the movement relation of producing shape wheel and cutter, wherein, producing shape wheel with the movement relation of cutter is:
Wherein, θ
cfor forming the product shape wheel corner producing the shape wheel flank of tooth, θ
kfor monoblock type cutterhead corner, θ
k0for calculating monoblock type cutterhead corner during cutter spacing value, θ
kMfor the monoblock type cutterhead corner that selected flank of tooth reference point is corresponding, θ
kI, KEfor the monoblock type cutterhead corner that chamfering start position on facewidth direction is corresponding, I represents little chamfer starting point, and E is large chamfer starting point, c
nfor longitudinal cydariform correction factor, n is even number;
3) the second order contact performance of processed gear male and fomale(M&F) reference point is determined according to the flank of tooth localized contact requirement of processed gear and the chamfering of tooth length direction, and determine that the flank of tooth producing shape wheel is practiced Buddhism or Taoism parameter according to described second order contact performance, the flank of tooth producing shape wheel parameter of practicing Buddhism or Taoism comprises the cutting arc radius ρ of cutter and produces shape and take turns longitudinal cydariform correction factor c
n;
4) the actual motion relation of producing shape wheel and cutter is determined according to the axial modification parameter of producing shape wheel, wherein, on monoblock type cutterhead, any one period of motion of same group of cutter tooth comprises the transition region between the effective cutting region of interior cutter, transition region with inside and outside group cutter tooth between cutter, the effective cutting region of outer cutter and adjacent sets cutter tooth all successively, and cutter tooth moves according to formula (1) in the effective cutting region of interior cutter and the effective cutting region of outer cutter;
5) movement relation of producing shape wheel Generating gear is determined, and according to described product shape wheel and the actual motion relation of cutter and produces the processing that movement relation that shape take turns Generating gear carries out gear, the gear processed needed for obtaining.
Step 4) in produce shape wheel Generating gear movement relation be produce shape wheel and the angular speed ratio of processed gear
wherein, z
ifor the processed gear number of teeth, z
pfor producing shape tooth number.
Step 3) in the flank of tooth localized contact of processed gear require to include the tangential direction of the position of reference point, the size of reference point instantaneous contact ellipse major axis and direction and reference point place contact point of gear surface trace;
Described tooth length direction chamfering comprises the large end of the gear teeth and the original position of small end along facewidth direction chamfering and the size of chamfering amount.
Described correction of the flank shape is taken turns the basic flank of tooth and steamboat and is produced shape for producing shape to bull wheel and take turns the basic flank of tooth one of them carries out correction of the flank shape or both carry out correction of the flank shape simultaneously.
Embodiment one
With reference to figure 4, wherein, Fig. 4 (a) is dextrorotation cutterhead inner edge schematic diagram, and Fig. 4 (b) is dextrorotation cutterhead outside schematic diagram, supposes, gear pair crossed axis angle ∑=90 °, offset a
v=25mm, large tooth number z
2=39, little tooth number z
1=8, the outer pitch diameter d of bull wheel
02=265mm, mean spiral angle β
m=34.63 °, average pressure angle α
n=21.5 °, facewidth b
2=40mm, cutter radius r
c=106.5mm, cutterhead head number z
0=5, cutter α in steamboat
ni=22 °, the outer cutter α of steamboat
ne=20.5 °, bull wheel cutter adopts rectilinear edge, and pressure angle is contrary with steamboat.
Specifically be implemented as follows:
(1) determine to produce shape wheel basic parameter
Mean radius Rm equals gear pair mean cone distance
It is 34.63 degree that mean spiral angle equals bull wheel spiral harntail.
(2) determine the movement relation of producing shape wheel and cutter, expression formula is as follows
(3) determining to produce shape wheel axial modification, producing shape wheel profile modifying parameters according to illustrating to try to achieve above:
Cutter arc radius ρ=500mm in steamboat, C coefficient: c
2=-0.005
The outer cutter arc radius ρ=800mm of steamboat, C coefficient: c
2=0.008
(4) planning forms the cutter path producing the shape wheel flank of tooth.Effect cutting region there being cutter: produce shape wheel and the angle relation formula of cutter, represent in units of radian:
Interior cutter
Outer cutter
Free transition region between inside and outside cutter: cutter is taken turns as linear angle relation with product shape.
(5) movement relation of producing shape wheel Generating gear is determined.The motion of processed gear is the synthesis of cutting campaign and generating motion, also there is corresponding relation described in (1) between processed gear and cutterhead, but need do further conversion according to product shape wheel and processed gear ratio.
(6) according to producing shape wheel and the movement relation of cutter and producing the processing that movement relation that shape takes turns the generate gear teeth carries out gear,
The product shape wheel angle range of the complete teeth groove of processing steamboat: (15.964 ° ,-16.851 °);
The product shape wheel angle range of the complete teeth groove of processing bull wheel: (-25.735 °, 15.016 °).
Above content is in conjunction with concrete preferred embodiment further description made for the present invention; can not assert that the specific embodiment of the present invention is only limitted to this; for general technical staff of the technical field of the invention; without departing from the inventive concept of the premise; some simple deduction or replace can also be made, all should be considered as belonging to the present invention by submitted to claims determination scope of patent protection.
Claims (3)
1. a processing method for overlikon spiral bevel gear, is characterized in that, comprises the following steps:
1) determine the basic parameter producing shape wheel, wherein, produce shape tooth number
z
1for little tooth number, z
2for large tooth number;
for gear pair pitch cone angle correction, δ
01for steamboat pitch cone angle, δ
02for bull wheel pitch cone angle; When the gear of required processing is bevel gear, produce the mean cone distance that shape wheel Mean radius equals processed gear pair, the mean spiral angle producing shape wheel equals the nominal helical angle of processed gear pair; When the gear of required processing is hypoid gear, produce the mean cone distance that shape wheel Mean radius equals bull wheel, the mean spiral angle producing shape wheel equals the mean spiral angle of bull wheel;
2) determine the movement relation of producing shape wheel and cutter, wherein, producing shape wheel with the movement relation of cutter is:
Wherein, θ
cfor forming the product shape wheel corner producing the shape wheel flank of tooth, θ
kfor monoblock type cutterhead corner, θ
k0for calculating monoblock type cutterhead corner during cutter spacing value, θ
kMfor the monoblock type cutterhead corner that selected flank of tooth reference point is corresponding, θ
kI, KEfor the monoblock type cutterhead corner that chamfering start position on facewidth direction is corresponding, I represents little chamfer starting point, and E is large chamfer starting point, c
nfor longitudinal cydariform correction factor, n is even number;
3) the second order contact performance of processed gear male and fomale(M&F) reference point is determined according to the flank of tooth localized contact requirement of processed gear and the chamfering of tooth length direction, and determine that the flank of tooth producing shape wheel is practiced Buddhism or Taoism parameter according to described second order contact performance, the flank of tooth producing shape wheel parameter of practicing Buddhism or Taoism comprises the cutting arc radius ρ of cutter and produces shape and take turns longitudinal cydariform correction factor c
n;
4) determine to produce shape wheel and the actual motion relation of cutter according to the flank of tooth producing shape wheel parameter of practicing Buddhism or Taoism, wherein, on monoblock type cutterhead, any one period of motion of same group of cutter tooth comprises the transition region between the effective cutting region of interior cutter, transition region with inside and outside group cutter tooth between cutter, the effective cutting region of outer cutter and adjacent sets cutter tooth all successively, and cutter tooth moves according to formula (1) in the effective cutting region of interior cutter and the effective cutting region of outer cutter;
5) movement relation of producing shape wheel Generating gear is determined, and according to described product shape wheel and the actual motion relation of cutter and produces the processing that movement relation that shape take turns Generating gear carries out gear, the gear processed needed for obtaining.
2. the processing method of overlikon spiral bevel gear according to claim 1, is characterized in that, step 4) in produce shape wheel Generating gear movement relation be produce shape wheel and the angular speed ratio of processed gear
wherein, z
ifor the processed gear number of teeth, z
pfor producing shape tooth number.
3. the processing method of overlikon spiral bevel gear according to claim 1, is characterized in that, described correction of the flank shape is taken turns the basic flank of tooth and steamboat and produced shape for producing shape to bull wheel and take turns the basic flank of tooth one of them carries out correction of the flank shape or both carry out correction of the flank shape simultaneously.
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| CN106271477A (en) * | 2016-08-31 | 2017-01-04 | 重庆智展齿轮传动有限公司 | Ship lift gear shaft processing technique |
| CN109116803B (en) * | 2018-08-10 | 2020-11-17 | 河南科技大学 | Split type equal-base bevel gear cutting motion trajectory calculation method |
| CN109434220B (en) * | 2019-01-10 | 2020-06-26 | 姚显民 | Arc bevel gear machining method |
| CN111687493B (en) * | 2020-06-08 | 2021-05-28 | 西安交通大学 | Variable tool path machining method for cycloidal-tooth bevel gear based on integral cutter head |
| CN111897286B (en) * | 2020-07-16 | 2021-06-04 | 武汉大学 | Cavity elliptic cycloid milling cutter path planning method based on contour central axis |
| CN111975124B (en) * | 2020-07-20 | 2022-04-29 | 湖南中大创远数控装备有限公司 | Tooth surface processing method for cycloidal-tooth bevel gear and hypoid gear |
| CN115229455B (en) * | 2022-07-05 | 2024-02-23 | 一汽解放汽车有限公司 | Gear machining method, gear machining device, computer equipment and storage medium |
| CN115034021B (en) * | 2022-08-11 | 2022-11-11 | 溧阳渐开机械传动科技有限公司 | Gear machining machine tool design method and device based on shape-producing wheel and medium |
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| CN101774048B (en) * | 2010-03-15 | 2012-07-18 | 陕西秦川机械发展股份有限公司 | Bevel gear machining method |
| PL217474B1 (en) * | 2010-05-28 | 2014-07-31 | Igor Zarębski | Gear generating method for not straight gears |
| DE102010061432B4 (en) * | 2010-12-21 | 2014-02-06 | Gebr. Heller Maschinenfabrik Gmbh | Method and tool for producing a gear with crowned teeth |
| CN103692025B (en) * | 2013-12-06 | 2016-04-27 | 西安交通大学 | A kind of overlikon spiral bevel gear processing method |
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Denomination of invention: A Machining Method of Cycloidal Bevel Gear Effective date of registration: 20221214 Granted publication date: 20160427 Pledgee: Bohai Bank Co.,Ltd. Tianjin Branch Pledgor: TIANJIN TEEK TRANSMISSION Co.,Ltd. Registration number: Y2022120000071 |
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Denomination of invention: A machining method for cycloidal bevel gears Effective date of registration: 20231124 Granted publication date: 20160427 Pledgee: Bohai Bank Co.,Ltd. Tianjin Branch Pledgor: TIANJIN TEEK TRANSMISSION Co.,Ltd. Registration number: Y2023120000095 |