CN109858183A - A kind of determination method for gear pump flank profil molded line - Google Patents
A kind of determination method for gear pump flank profil molded line Download PDFInfo
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- CN109858183A CN109858183A CN201910170462.0A CN201910170462A CN109858183A CN 109858183 A CN109858183 A CN 109858183A CN 201910170462 A CN201910170462 A CN 201910170462A CN 109858183 A CN109858183 A CN 109858183A
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- Prior art keywords
- coordinate system
- gear
- gear circle
- circle
- flank profil
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- 238000000034 method Methods 0.000 title claims abstract description 33
- 238000009795 derivation Methods 0.000 claims description 8
- 238000005299 abrasion Methods 0.000 abstract description 4
- 238000005461 lubrication Methods 0.000 abstract description 4
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 239000007788 liquid Substances 0.000 description 1
- 239000011159 matrix material Substances 0.000 description 1
- 238000005086 pumping Methods 0.000 description 1
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Abstract
The invention discloses a kind of determination methods for gear pump flank profil molded line, including B gear circle, C gear circle, the rack coordinate O for being fixed in fixed coordinate systemfxfyf, be fixed in C gear circle coordinate system O1x1y1With the coordinate system O for being fixed in B gear circle2x2y2, comprising the following steps: step 1: taking B gear round respectively and C gear circle；Step 2: the B gear circle in step 1 establishes coordinate system O2x2y2, coordinate system O is established around C gear circle1x1y1；Step 3: the coordinate system O in step 21x1y1With coordinate system O2x2y2Establish rack coordinate Ofxfyf；Step 4: the radius r of C gear circle is takenj1, take the radius r of B gear circlej2.Present invention determine that flank profil molded line, its main feature is that curve composition section is few, the flank of tooth is smooth, conducive to form good lubrication with reduce abrasion, be suitble to be widely popularized and used.
Description
Technical field
The present invention relates to gear pump technical field, in particular to a kind of determination method for gear pump flank profil molded line.
Background technique
Gear pump is that swept volume changes and movement is to convey liquid or make by being formed by between pumping cylinder and meshing gear
Pressurization drum pump, present people are difficult to be determined the flank profil molded line in gear pump, and the inconvenience in design is caused to carry out
Adjustment, for this purpose, a kind of it is proposed that determination method for gear pump flank profil molded line.
Summary of the invention
The main purpose of the present invention is to provide a kind of determination methods for gear pump flank profil molded line, which can
One of gear is combined by determining fundamental curve first to finish, and another corresponding gear is then by the envelope theory of engagement
Determination acquires, and method is simple, is less prone to error, the flank profil molded line determined using this method, its main feature is that curve composition section is few,
The flank of tooth is smooth, conducive to good lubrication is formed to reduce abrasion, can effectively solve the problems in background technique.
To achieve the above object, the technical scheme adopted by the invention is as follows:
A kind of determination method for gear pump flank profil molded line, including B gear circle, C gear circle, the machine for being fixed in fixed coordinate system
Rack coordinate Ofxfyf, be fixed in C gear circle coordinate system O1x1y1With the coordinate system O for being fixed in B gear circle2x2y2。
A kind of determination method for gear pump flank profil molded line, comprising the following steps:
Step 1: taking B gear round respectively and C gear circle；
Step 2: the B gear circle in step 1 establishes coordinate system O2x2y2, coordinate system O is established around C gear circle1x1y1；
Step 3: the coordinate system O in step 21x1y1With coordinate system O2x2y2Establish rack coordinate Ofxfyf；
Step 4: the radius r of C gear circle is takenj1, take the radius r of B gear circlej2；
Step 5: by coordinate system O in step 31x1y1With coordinate system O2x2y2It is respectively designated as the dynamic seat that C gear is round and B gear is round
Mark system will be parallel to relatively rack coordinate O when originatingfxfyfCoordinate system O1x1y1With coordinate system O2x2y2It is respectively designated as C tooth
The quiet coordinate system that wheel is round and B gear is round.
Step 6: the tooth form section for the B gear circle being engaged is derived from certain tooth form section of C gear circle, finally obtains flank profil
Molded line
Further, φ when being originated in the step 51=φ2=0。
Further, the derivation in the step 6 is derived using the analytic expression in analytic geometry.
Further, the derivation process of the step 6 include from C gear circle moving coordinate system to the quiet coordinate system of C gear circle,
Justify quiet coordinate system from C gear and justifies mark of sitting quietly to the quiet coordinate system of B gear circle and from B gear to rack coordinate system, slave rack coordinate system
It is to B gear circle moving coordinate system.
Compared with prior art, the invention has the following beneficial effects:
It is finished 1. the determination method can be such that one of gear is combined first by determining fundamental curve, and another corresponding tooth
Wheel, which is then determined by the envelope theory of engagement, to be acquired, and method is simple, is less prone to error.
2. the flank profil molded line determined using this method, its main feature is that curve composition section is few, the flank of tooth is smooth, is conducive to be formed good
Lubrication is to reduce abrasion.
Detailed description of the invention
Fig. 1 is a kind of schematic illustration of the determination method for gear pump flank profil molded line of the present invention.
In figure: A, center away from；B, B gear circle；C, C gear circle.
Specific embodiment
To be easy to understand the technical means, the creative features, the aims and the efficiencies achieved by the present invention, below with reference to
Specific embodiment, the present invention is further explained.
Embodiment 1
As shown in Figure 1, a kind of determination method for gear pump flank profil molded line, including B gear is round, C gear circle, is fixed in fixation
The rack coordinate O of coordinate systemfxfyf, be fixed in C gear circle coordinate system O1x1y1With the coordinate system O for being fixed in B gear circle2x2y2。
A kind of determination method for gear pump flank profil molded line, comprising the following steps:
Step 1: taking B gear round respectively and C gear circle；
Step 2: the B gear circle in step 1 establishes coordinate system O2x2y2, coordinate system O is established around C gear circle1x1y1；
Step 3: the coordinate system O in step 21x1y1With coordinate system O2x2y2Establish rack coordinate Ofxfyf；
Step 4: the radius r of C gear circle is takenj1, take the radius r of B gear circlej2；
Step 5: by coordinate system O in step 31x1y1With coordinate system O2x2y2It is respectively designated as the dynamic seat that C gear is round and B gear is round
Mark system will be parallel to relatively rack coordinate O when originatingfxfyfCoordinate system O1x1y1With coordinate system O2x2y2It is respectively designated as C tooth
The quiet coordinate system that wheel is round and B gear is round.
Step 6: the tooth form section for the B gear circle being engaged is derived from certain tooth form section of C gear circle, finally obtains flank profil
Molded line
Wherein, φ when being originated in the step 51=φ2=0。
Wherein, the derivation in the step 6 is derived using the analytic expression in analytic geometry.
Wherein, the derivation process of the step 6 includes from C gear circle moving coordinate system to the quiet coordinate system of C gear circle, from C tooth
The quiet coordinate system of wheel circle is to rack coordinate system, slave rack coordinate system to the quiet coordinate system of B gear circle and from the quiet coordinate system of B gear circle to B
Gear justifies moving coordinate system.
Embodiment 2
As shown in Figure 1, a kind of determination method for gear pump flank profil molded line, including B gear is round, C gear circle, is fixed in fixation
The rack coordinate O of coordinate systemfxfyf, be fixed in C gear circle coordinate system O1x1y1With the coordinate system O for being fixed in B gear circle2x2y2。
A kind of determination method for gear pump flank profil molded line, comprising the following steps:
Step 1: taking B gear round respectively and C gear circle；
Step 2: the B gear circle in step 1 establishes coordinate system O2x2y2, coordinate system O is established around C gear circle1x1y1；
Step 3: the coordinate system O in step 21x1y1With coordinate system O2x2y2Establish rack coordinate Ofxfyf；
Step 4: the radius r of C gear circle is takenj1, take the radius r of B gear circlej2；
Step 5: by coordinate system O in step 31x1y1With coordinate system O2x2y2It is respectively designated as the dynamic seat that C gear is round and B gear is round
Mark system will be parallel to relatively rack coordinate O when originatingfxfyfCoordinate system O1x1y1With coordinate system O2x2y2It is respectively designated as C tooth
The quiet coordinate system that wheel is round and B gear is round.
Step 6: the tooth form section for the B gear circle being engaged is derived from certain tooth form section of C gear circle, finally obtains flank profil
Molded line
Wherein, φ when being originated in the step 51=φ2=0。
Wherein, the derivation in the step 6 is derived using the analytic expression in analytic geometry.
Wherein, the derivation process of the step 6 is that the coordinate transform indicated using matrix equation can be sat by front and back
The relative position for marking direction cosines folded by the reference axis of system and coordinate origin directly gives.
It should be noted that the present invention is a kind of determination method for gear pump flank profil molded line, and when work, the determination side
Method can be such that one of gear is combined by determining fundamental curve first to finish, and another corresponding gear is then engaged by envelope
Principle determination acquires, and method is simple, is less prone to error, the flank profil molded line determined using this method, its main feature is that curve forms
Section is few, and the flank of tooth is smooth, conducive to good lubrication is formed to reduce abrasion.
The above shows and describes the basic principles and main features of the present invention and the advantages of the present invention.The technology of the industry
Personnel are it should be appreciated that the present invention is not limited to the above embodiments, and the above embodiments and description only describe this
The principle of invention, without departing from the spirit and scope of the present invention, various changes and improvements may be made to the invention, these changes
Change and improvement all fall within the protetion scope of the claimed invention.The claimed scope of the invention by appended claims and its
Equivalent thereof.
Claims (6)
1. a kind of determination method for gear pump flank profil molded line, which is characterized in that including B gear circle, C gear circle, be fixed in
The rack coordinate O of fixed coordinate systemfxfyf, be fixed in C gear circle coordinate system O1x1y1With the coordinate system for being fixed in B gear circle
O2x2y2。
2. a kind of determination method for gear pump flank profil molded line, which comprises the following steps:
Step 1: taking B gear round respectively and C gear circle；
Step 2: the B gear circle in step 1 establishes coordinate system O2x2y2, coordinate system O is established around C gear circle1x1y1；
Step 3: the coordinate system O in step 21x1y1With coordinate system O2x2y2Establish rack coordinate Ofxfyf；
Step 4: the radius r of C gear circle is takenj1, take the radius r of B gear circlej2；
Step 5: by coordinate system O in step 31x1y1With coordinate system O2x2y2It is respectively designated as the dynamic seat that C gear is round and B gear is round
Mark system will be parallel to relatively rack coordinate O when originatingfxfyfCoordinate system O1x1y1With coordinate system O2x2y2It is respectively designated as C tooth
The quiet coordinate system that wheel is round and B gear is round.
3. step 6: deriving the tooth form section for the B gear circle being engaged from certain tooth form section of C gear circle, finally obtain flank profil type
Line.
4. a kind of determination method for gear pump flank profil molded line according to claim 2, it is characterised in that: the step
φ when being originated in five1=φ2=0。
5. a kind of determination method for gear pump flank profil molded line according to claim 2, it is characterised in that: the step
Derivation in six is derived using the analytic expression in analytic geometry.
6. a kind of determination method for gear pump flank profil molded line according to claim 2, it is characterised in that: the step
Six derivation process includes sitting from C gear circle moving coordinate system to the quiet coordinate system of C gear circle, from the quiet coordinate system of C gear circle to rack
Mark system, slave rack coordinate system to the quiet coordinate system of B gear circle and from the quiet coordinate system of B gear circle to B gear circle moving coordinate system.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910170462.0A CN109858183A (en) | 2019-03-07 | 2019-03-07 | A kind of determination method for gear pump flank profil molded line |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910170462.0A CN109858183A (en) | 2019-03-07 | 2019-03-07 | A kind of determination method for gear pump flank profil molded line |
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| Publication Number | Publication Date |
|---|---|
| CN109858183A true CN109858183A (en) | 2019-06-07 |
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| Application Number | Title | Priority Date | Filing Date |
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| CN201910170462.0A Pending CN109858183A (en) | 2019-03-07 | 2019-03-07 | A kind of determination method for gear pump flank profil molded line |
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Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104112038A (en) * | 2014-06-25 | 2014-10-22 | 陕西高华知本化工科技有限公司 | Method for designing linear conjugate inner gearing pump tooth profile |
| US20150106063A1 (en) * | 2013-10-14 | 2015-04-16 | Airbus Operations Limited | Gear construction method and digital apparatus |
| CN105844078A (en) * | 2016-03-14 | 2016-08-10 | 厦门理工学院 | Active design method of low pulsation gear pump |
| CN109063392A (en) * | 2018-10-08 | 2018-12-21 | 天津工业大学 | A kind of arc-shaped tooth gear true tooth based on circular arc profile is created into method |
| CN109241670A (en) * | 2018-10-08 | 2019-01-18 | 天津工业大学 | A kind of double arc helical gear true tooths wounds of circular arc profile are at method |
-
2019
- 2019-03-07 CN CN201910170462.0A patent/CN109858183A/en active Pending
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20150106063A1 (en) * | 2013-10-14 | 2015-04-16 | Airbus Operations Limited | Gear construction method and digital apparatus |
| CN104112038A (en) * | 2014-06-25 | 2014-10-22 | 陕西高华知本化工科技有限公司 | Method for designing linear conjugate inner gearing pump tooth profile |
| CN105844078A (en) * | 2016-03-14 | 2016-08-10 | 厦门理工学院 | Active design method of low pulsation gear pump |
| CN109063392A (en) * | 2018-10-08 | 2018-12-21 | 天津工业大学 | A kind of arc-shaped tooth gear true tooth based on circular arc profile is created into method |
| CN109241670A (en) * | 2018-10-08 | 2019-01-18 | 天津工业大学 | A kind of double arc helical gear true tooths wounds of circular arc profile are at method |
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