CN102003144A - Fractal design method for roller bit gear teeth structure - Google Patents
Fractal design method for roller bit gear teeth structure Download PDFInfo
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- CN102003144A CN102003144A CN 201010500309 CN201010500309A CN102003144A CN 102003144 A CN102003144 A CN 102003144A CN 201010500309 CN201010500309 CN 201010500309 CN 201010500309 A CN201010500309 A CN 201010500309A CN 102003144 A CN102003144 A CN 102003144A
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- gear teeth
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Abstract
The invention relates to a fractal design method for a roller bit gear teeth structure, and belongs to a method for designing size, number and distribution of roller bit gear teeth in petroleum drilling. The fractal design method for the roller bit gear teeth structure is characterized in that: the structure consists of N-order (N is equal to 2 to 9) continuously arranged gear teeth, the number of initial values of which is M (M is equal to 2 to 9), wherein the gear teeth have non-uniform height; the adjacent gear teeth of the same order have mutual offset; and the structure has the rule that the first-order fractal gear teeth of the N-order fractal gear teeth consist of M gear teeth, the teeth heights and the teeth diameters of the M gear teeth of the first order have deviations H1 and D1, the second-order gear teeth consist of M groups of first-order gear teeth, the teeth heights and the teeth diameters of the M groups of fractal gear teeth in the second order have deviations H2 and D2, the number of the gear teeth of the Nth order is MN, the gear teeth of the Nth order consist of MN-1 groups of first-order gear teeth, and the teeth heights and the teeth diameters of the MN-1 groups of fractal gear teeth in the N order have deviations HN and DN. The bit gear teeth distribution is in personalized development, and the method is convenient to operate and has low cost.
Description
One, technical field:
What the present invention relates to is the kind method of rock bit wheel teeth size, quantity and distribution in the design oil drilling, and what be specifically related to is the fractal method for designing of rock bit wheel toothing.
Two, background technology:
Rotary drilling is a broken rock mode main in the oil drilling, and wherein drill bit is main rock crushing tool.The drill bit that uses in the oil drilling is divided into 3 big classes such as drag bit, rock bit and diamond drill bit, and wherein rock bit accounts for and finishes 80%～90% of total footage.The optimal design of rock bit provides drilling efficiency, probing quality and reduces cost drilling engineering and is significant.
The method of prior art design rock bit gear teeth quantity, size and distribution is European method of geometry, be big or small modes such as rock bit gear teeth size design employing, gear teeth quantity design employing center symmetry, axial symmetry etc. are mode for cloth all, the tooth distribution design adopts the standard European geometric shape to design, as radial, equidistant and helical form etc.This technology causes that rock bit gear teeth designs isotropic is obvious, simple in structure, type is single, has limited the variation of rock bit gear teeth structure designs, has greatly hindered the appearance of personalized drill bit, has also influenced the raising of rotary drilling efficient simultaneously.
Three, summary of the invention:
The fractal method for designing that the purpose of this invention is to provide rock bit wheel toothing, it is used to solve the existing problem that rock bit gear teeth structure design isotropism is obvious, type is single.
The technical solution adopted for the present invention to solve the technical problems is: the fractal method for designing of this rock bit wheel toothing, by N rank (N=2～9) initial value is that the gear teeth that M (M=2-9) continuously arranged height differs are formed, there is skew mutually between the adjacent gear teeth of same order, its rule is that the fractal tooth distribution in the 1st rank of the fractal tooth distribution in N rank is made up of M the gear teeth, and there are deviation H in the tooth depth of the 1st a rank M gear teeth, tooth between the footpath
1, D
1, the 2nd rank tooth number is organized the 1st rank tooth number by M and is formed, and there are deviation H in the tooth depth of the M component shape gear teeth, tooth between the footpath in the 2nd rank
2, D
2, the 3rd rank tooth number is by M
2Organize the 1st rank tooth number and form M in the 3rd rank
2There are deviation H in the tooth depth of the component shape gear teeth, tooth between the footpath
3, D
3, the tooth number on N rank is M
NIndividual, by M
N-1Organize the 1st rank tooth number and form M in the N rank
N-1There are deviation H in the tooth depth of the component shape gear teeth, tooth between the footpath
N, D
N
Height with the highest gear teeth in the same order in the single order and not in the such scheme equates.
The deviation that exists between the tooth depth of the gear teeth, the tooth footpath in each rank in the such scheme is equal, i.e. H
1=H
2=H
3=H
N, D
1=D
2=D
3=D
NAlso can increase progressively, i.e. H
1＜H
2＜H
3＜H
N, D
1＜D
2＜D
3＜D
NAlso can successively decrease, i.e. H
1＞H
2＞H
3＞H
N, D
1＞D
2＞D
3＞D
N
Beneficial effect:
1, design principle of the present invention is simple, and is easy to operate, with low cost.It has bigger implementary value and economic results in society from the method for designing that geometric aspects is optimized rock bit wheel toothing comprehensively.
2, drill bit tooth distribution of the present invention is individualized development.Because of departure difference between each rank gear teeth tooth depth, tooth footpath, the number of teeth, make the drill bit tooth distribution show tangible fractal property, the drill bit design of breaking the normal procedure exposure tooth depth ideology simultaneously, the personalization of drill bit gear teeth deisgn approach is for personalized drill bit design improves a bar thinking.
3, the present invention improves gear wheel gear teeth efficiency of breaking rock.Drill bit gear teeth shaft bottom work plane itself is exactly a scraggly curved surface, uses the concordant drill bit of the gear teeth to be unfavorable for that a plurality of gear teeth contact the efficiency of breaking rock of reduction drill bit integral body simultaneously with rock on the work plane.
Four, description of drawings:
Fig. 1 is embodiment 1 a gear wheel tooth distribution design sketch;
Fig. 2 is embodiment 1 a gear wheel tooth distribution schematic diagram;
Fig. 3 is tooth depth, the tooth footpath deviation schematic diagram of 1 every group of gear teeth of embodiment;
Fig. 4 is embodiment 2 gear wheel tooth distribution design sketchs;
Fig. 5 is embodiment 2 gear wheel tooth distribution schematic diagrames;
Fig. 6 is tooth depth, the tooth footpath deviation schematic diagram of 2 every groups of gear teeth of embodiment;
Fig. 7 is embodiment 3 gear wheel tooth distribution design sketchs;
Fig. 8 is embodiment 3 gear wheel tooth distribution schematic diagrames;
Fig. 9 is tooth depth, the tooth footpath deviation schematic diagram of 3 every groups of gear teeth of embodiment.
Five, the specific embodiment:
The present invention is described further below in conjunction with accompanying drawing:
Embodiment 1:
In conjunction with Fig. 1, shown in Figure 2, the fractal method for designing of this rock bit wheel toothing, by 4 rank initial values is that the gear teeth that 2 continuously arranged height differ are formed, the adjacent gear teeth are offset mutually in the same order, its rule is that the fractal tooth distribution in the 1st rank of the fractal tooth distribution in 4 rank is made up of 2 gear teeth, consult shown in Figure 3ly, there are deviation H in the tooth depth of 2 gear teeth in the 1st rank, tooth between the footpath
1, D
1The fractal tooth distribution in the 2nd rank is by 2
2The individual gear teeth are formed, and these are 2 years old
2The individual gear teeth are made up of 2 group of the 1st rank tooth number, promptly this 2
2The individual gear teeth are divided into 2 groups, every group of 2 gear teeth, and there are deviation H in the tooth depth of the 2 component shape gear teeth in the 2nd rank, tooth between the footpath
2, D
2The fractal tooth distribution in the 3rd rank is by 2
3The individual gear teeth are formed, and these are 2 years old
3The individual gear teeth are made up of 4 group of the 1st rank tooth number, are 2
3=8, there are deviation H in the tooth depth of the 4 component shape gear teeth in the 3rd rank, tooth between the footpath
3, D
3, along with the growth of exponent number, tooth number is 2
NIncrease, during to the 4th rank, its tooth number is made up of 8 group of the 1st rank tooth number, is 2
4=16.H in the present embodiment
1=H
2=H
3=H
4, D
1=D
2=D
3=D
4, certainly, H
1, H
2, H
3, H
4Or D
1, D
2, D
3, D
4Can be unequal, as can being to increase gradually.N=4, M=2 in the present embodiment.
Embodiment 2:
In conjunction with Fig. 4, shown in Figure 5, this is 3 rock bit tooth distribution by 3 rank initial values, the gear teeth that the continuously arranged height in each rank differs are formed, with there being skew mutually between the gear teeth adjacent in the stratum, its rule is that the fractal tooth distribution in the 1st rank of the fractal tooth distribution in 3 rank is made up of 3 gear teeth, consult shown in Figure 6ly, there are deviation H in the tooth depth of 3 gear teeth in the 1st rank, tooth between the footpath
1, D
1The fractal tooth distribution in the 2nd rank is by 3
2The individual gear teeth are formed, and these are 3 years old
2The individual gear teeth are made up of 3 group of the 1st rank tooth number, promptly this 3
2The individual gear teeth are divided into 2 groups, every group of 3 gear teeth, and there are deviation H in the tooth depth of the 3 component shape gear teeth in the 2nd rank, tooth between the footpath
2, D
2Along with the growth of exponent number, tooth number is 3
NIncrease, during to the 3rd rank, fractal tooth distribution is by 3
3The individual gear teeth are formed, and these are 3 years old
3The individual gear teeth are made up of 9 group of the 1st rank tooth number, are 3
3=27, there are deviation H in the tooth depth of the 9 component shape gear teeth in the 3rd rank, tooth between the footpath
3, D
3N=3, M=3 in the present embodiment.
Embodiment 3:
In conjunction with Fig. 7, shown in Figure 8, this is 3 rock bit tooth distribution by 3 rank initial values, the gear teeth that the continuously arranged height in each rank differs are formed, with there being skew mutually between the gear teeth adjacent in the stratum, its rule is that the fractal tooth distribution in the 1st rank of the fractal tooth distribution in 3 rank is made up of 3 gear teeth, consult shown in Figure 9ly, there are deviation H in the tooth depth of 3 gear teeth in the 1st rank, tooth between the footpath
1, D
1, the deviation characteristics are that tooth depth, the tooth of the 1st gear teeth and the 3rd gear teeth in 3 gear teeth exists deviation H between the footpath
1, D
1, there are deviation H in the tooth depth of the 3rd gear teeth and the 2nd gear teeth, tooth between the footpath
1, D
1, the tooth depth of the gear teeth presents the height height in these rank, and tooth directly presents the big point of size; The 2nd rank tooth number 3
2Individual, these are 3 years old
2The individual gear teeth are made up of 3 group of the 1st rank tooth number, promptly this 3
2The individual gear teeth are divided into 2 groups, every group of 3 gear teeth, and there are deviation H in the tooth depth of the 3 component shape gear teeth in the 2nd rank, tooth between the footpath
2, D
2, its rule is identical with the 1st rank, the 3rd rank tooth number 3
3Individual, these are 3 years old
3The individual gear teeth are made up of 9 group of the 1st rank tooth number, are 3
3=27, there are deviation H in the tooth depth of the 9 component shape gear teeth in the 3rd rank, tooth between the footpath
3, D
3, its rule is identical with the 1st rank, and along with the growth of exponent number, tooth number is 3
NIncrease.N=3, M=3 in the present embodiment.
Claims (5)
1. the fractal method for designing of rock bit wheel toothing, it is characterized in that: the fractal method for designing of this rock bit wheel toothing, by N rank (N=2～9) initial value is that the gear teeth that M (M=2-9) continuously arranged height differs are formed, with there being skew mutually between the gear teeth adjacent in the stratum, its rule is that the fractal tooth distribution in the 1st rank of the fractal tooth distribution in N rank is made up of M the gear teeth, and there are deviation H in the tooth depth of the 1st a rank M gear teeth, tooth between the footpath
1, D
1, the 2nd rank tooth number is organized the 1st rank tooth number by M and is formed, and there are deviation H in the tooth depth of the M component shape gear teeth, tooth between the footpath in the 2nd rank
2, D
2, the 3rd rank tooth number is by M
2Organize the 1st rank tooth number and form M in the 3rd rank
2There are deviation H in the tooth depth of the component shape gear teeth, tooth between the footpath
3, D
3, the tooth number on N rank is M
NIndividual, by M
N-1Organize the 1st rank tooth number and form M in the N rank
N-1There are deviation H in the tooth depth of the component shape gear teeth, tooth between the footpath
N, D
N
2. the fractal method for designing of rock bit according to claim 1 wheel toothing is characterized in that: described height with the highest gear teeth in the same order in the single order and not equates.
3. the fractal method for designing of rock bit wheel toothing according to claim 2 is characterized in that: the deviation that exists between the tooth depth of the gear teeth, the tooth footpath in described each rank is equal, i.e. H
1=H
2=H
3=H
N, D
1=D
2=D
3=D
N
4. the fractal method for designing of rock bit according to claim 2 wheel toothing is characterized in that: the deviation that exists between the tooth depth of the gear teeth, the tooth footpath in described each rank is and increases progressively, i.e. H
1＜H
2＜H
3＜H
N, D
1＜D
2＜D
3＜D
N
5. the fractal method for designing of rock bit wheel toothing according to claim 2 is characterized in that: the deviation that exists between the tooth depth of the gear teeth, the tooth footpath in described each rank tapers off, i.e. H
1＞H
2＞H
3＞H
N, D
1＞D
2＞D
3＞D
N
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201010500309 CN102003144B (en) | 2010-10-09 | 2010-10-09 | Fractal design method for roller bit gear teeth structure |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201010500309 CN102003144B (en) | 2010-10-09 | 2010-10-09 | Fractal design method for roller bit gear teeth structure |
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| Publication Number | Publication Date |
|---|---|
| CN102003144A true CN102003144A (en) | 2011-04-06 |
| CN102003144B CN102003144B (en) | 2013-01-23 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 201010500309 Expired - Fee Related CN102003144B (en) | 2010-10-09 | 2010-10-09 | Fractal design method for roller bit gear teeth structure |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US11572767B2 (en) | 2019-02-19 | 2023-02-07 | Chengdu University Of Technology | Dynamic design method for personalized drill bit for complex difficult-to-drill formation |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4871377A (en) * | 1986-07-30 | 1989-10-03 | Frushour Robert H | Composite abrasive compact having high thermal stability and transverse rupture strength |
| US5722497A (en) * | 1996-03-21 | 1998-03-03 | Dresser Industries, Inc. | Roller cone gage surface cutting elements with multiple ultra hard cutting surfaces |
| JP2004066383A (en) * | 2002-08-06 | 2004-03-04 | Miyanaga:Kk | Diamond disk for grinding |
| CN101440695A (en) * | 2008-12-15 | 2009-05-27 | 四川石油管理局装备制造公司 | Roller bit of spiral teeth |
| CN201588553U (en) * | 2010-01-05 | 2010-09-22 | 四川川石金刚石钻头有限公司 | Multifunctional compound drill bit |
-
2010
- 2010-10-09 CN CN 201010500309 patent/CN102003144B/en not_active Expired - Fee Related
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4871377A (en) * | 1986-07-30 | 1989-10-03 | Frushour Robert H | Composite abrasive compact having high thermal stability and transverse rupture strength |
| US5722497A (en) * | 1996-03-21 | 1998-03-03 | Dresser Industries, Inc. | Roller cone gage surface cutting elements with multiple ultra hard cutting surfaces |
| JP2004066383A (en) * | 2002-08-06 | 2004-03-04 | Miyanaga:Kk | Diamond disk for grinding |
| CN101440695A (en) * | 2008-12-15 | 2009-05-27 | 四川石油管理局装备制造公司 | Roller bit of spiral teeth |
| CN201588553U (en) * | 2010-01-05 | 2010-09-22 | 四川川石金刚石钻头有限公司 | Multifunctional compound drill bit |
Non-Patent Citations (1)
| Title |
|---|
| 《金刚石与磨料磨具工程》 20080415 张绍和等 有序排列金刚石锯片中排列参数的设计 29-32 , 第02期 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US11572767B2 (en) | 2019-02-19 | 2023-02-07 | Chengdu University Of Technology | Dynamic design method for personalized drill bit for complex difficult-to-drill formation |
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|---|---|
| CN102003144B (en) | 2013-01-23 |
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