CN109766510A

CN109766510A - A kind of flank of tooth repairing type method of epicycloid spiral bevel gear

Info

Publication number: CN109766510A
Application number: CN201910065675.7A
Authority: CN
Inventors: 檀杰; 刘坤明; 农小锐; 全玉琼; 庞雄南
Original assignee: Guilin Fuda Gear CO Ltd
Current assignee: Guilin Fuda Gear CO Ltd
Priority date: 2019-01-24
Filing date: 2019-01-24
Publication date: 2019-05-17

Abstract

The invention discloses a kind of flank of tooth repairing type methods of epicycloid spiral bevel gear, this method is by adjusting cutter holder angle x inside and outside epicycloid=(a+b) cos θ-bcos [(a+b) θ/b], y=(a+b) sin θ-bsin [(a+b) θ/b] changes epicycloid curvature, the long curvature k of tooth=(x'y "-x " y')/((x') ^2+ (y') ^2) ^ (3/2) for modifying epicycloid spiral bevel gear simultaneously, can be adjusted the flank of tooth repairing type of epicycloidal gear.Since the long curvature of the tooth of epicycloid spiral bevel gear is generated by processing cutter head running track, so changing epicycloid curvature by cutter holder angle inside and outside change epicycloid, then the flank of tooth repairing type of adjustment epicycloidal gear can be realized by modifying tool section rake face.

Description

A kind of flank of tooth repairing type method of epicycloid spiral bevel gear

Technical field

The present invention relates to mechanical manufacturing technology, the flank of tooth repairing type method of specifically a kind of epicycloid spiral bevel gear.

Background technique

Currently, the flank of tooth repairing type of epicycloid spiral bevel gear is modified by tilt or degeneration methods, both sides When the external cycloidal helical bevel gear of method carries out tooth long repairing type, the flexure of the flank of tooth is inevitably increased, causes diagonally to contact, sternly The transmission stability of gear pair is affected again.

Summary of the invention

In order to overcome the deficiencies of the prior art, the present invention provides a kind of in the long repairing type of tooth for carrying out epicycloid spiral bevel gear The repairing type method of the big flank of tooth flexure of Shi Bujia.

Realizing the technical solution of the object of the invention is:

A kind of flank of tooth repairing type method of epicycloid spiral bevel gear, is by adjusting cutter holder angle inside and outside epicycloid

x= (a+b)cosθ-bcos[(a+b)θ/b]

Y=(a+b) sin θ-bsin [(a+b) θ/b],

Change epicycloid curvature, while the long curvature k of tooth for modifying epicycloid spiral bevel gear=(x'y "-x " y')/((x') ^2 + (y') ^2) ^ (3/2), the flank of tooth repairing type of epicycloidal gear can be adjusted.

Wherein:

Epicycloid x'y "-x " y'=((a+b) ^2+((a+b) ^3)/b) (1-cos((a/b) θ))

((x') ^2+(y') ^2) ^ (3/2)=2(a+b) ^3(1-cos((a/b) θ)) ^ (3/2)

The epicycloid curvature k=(a+2b)/2 (a+b) (1-cos((a/b) θ)) ^ (- 1/2).

The epicycloid curvature is monotonic function in 0 section b/2a π θ < <.

The invention has the advantages that due to the long curvature of the tooth of epicycloid spiral bevel gear by processing cutter head running track generate, So change epicycloid curvature by changing cutter holder angle inside and outside epicycloid, then the flank of tooth repairing type of adjustment epicycloidal gear can be with It can be realized by modifying tool section rake face.

Detailed description of the invention

Fig. 1 is that the embodiment of the present invention processes cutter head running track schematic diagram；

Fig. 2 is tool section of embodiment of the present invention schematic diagram.

Specific embodiment

A kind of flank of tooth repairing type method of epicycloid spiral bevel gear, according to epicycloidal characteristic

x=(a+b)cosθ-bcos[(a+b)θ/b]；

y=(a+b)sinθ-bsin[(a+b)θ/b]；

Curvature formulations k=(x'y "-x " y')/((x') ^2+(y') ^2) ^ (3/2)

X'y "-x " y=((a+b) ^2+((a+b) ^3 in epicycloid)/b) (1-cos((a/b) θ))

((x') ^2+(y') ^2) ^ (3/2)=2(a+b) ^3(1-cos((a/b) θ)) ^ (3/2)

So epicycloid curvature k=(a+2b)/2 (a+b) (1-cos((a/b) θ)) ^ (- 1/2)

So epicycloid curvature is monotonic function in 0 section b/2a π θ < <.

Since the long curvature of the tooth of epicycloid spiral bevel gear generates (as shown in Figure 1) by processing cutter head running track, so Change the i.e. changeable epicycloid curvature in cutter holder angle inside and outside epicycloid, then the flank of tooth repairing type of adjustment epicycloidal gear can be by repairing It is cut a rake face and realizes (as shown in Figure 2), is i.e. the change face tool section C.

Claims

1. a kind of flank of tooth repairing type method of epicycloid spiral bevel gear, it is characterized in that: by adjusting cutter holder angle inside and outside epicycloid

x= (a+b)cosθ-bcos[(a+b)θ/b]

Y=(a+b) sin θ-bsin [(a+b) θ/b],

2. flank of tooth repairing type method according to claim 1, it is characterized in that: the epicycloid x'y "-x " y'=((a+b) ^ 2+((a+b) ^3)/b) (1-cos((a/b) θ)) ((x') ^2+(y') ^2) ^ (3/2)=2(a+b) ^3(1-cos((a/b) θ)) ^ (3/2)。

3. flank of tooth repairing type method according to claim 1, it is characterized in that: the epicycloid curvature k=(a+2b)/2 (a+b) (1-cos((a/b) θ)) ^ (- 1/2).

4. flank of tooth repairing type method according to claim 1, it is characterized in that: the epicycloid curvature is in 0 area < θ < b/2a π Between be monotonic function.