CN115111160A - Screw pump rotor molded lines - Google Patents
Screw pump rotor molded lines Download PDFInfo
- Publication number
- CN115111160A CN115111160A CN202210738984.8A CN202210738984A CN115111160A CN 115111160 A CN115111160 A CN 115111160A CN 202210738984 A CN202210738984 A CN 202210738984A CN 115111160 A CN115111160 A CN 115111160A
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- China
- Prior art keywords
- screw
- circle
- line
- profile
- eccentric center
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
- 238000013461 design Methods 0.000 abstract description 5
- 238000005096 rolling process Methods 0.000 description 6
- 230000015572 biosynthetic process Effects 0.000 description 3
- 238000010586 diagram Methods 0.000 description 2
- 238000000034 method Methods 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 239000000306 component Substances 0.000 description 1
- 239000008358 core component Substances 0.000 description 1
- 238000012937 correction Methods 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 230000001360 synchronised effect Effects 0.000 description 1
- 238000013519 translation Methods 0.000 description 1
Images
Classifications
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
- F04C18/00—Rotary-piston pumps specially adapted for elastic fluids
- F04C18/08—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing
- F04C18/12—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type
- F04C18/14—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type with toothed rotary pistons
- F04C18/16—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type with toothed rotary pistons with helical teeth, e.g. chevron-shaped, screw type
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
- F04C18/00—Rotary-piston pumps specially adapted for elastic fluids
- F04C18/08—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing
- F04C18/082—Details specially related to intermeshing engagement type pumps
- F04C18/084—Toothed wheels
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
- F04C2250/00—Geometry
- F04C2250/20—Geometry of the rotor
Abstract
The invention relates to the field of screw vacuum pumps, and discloses a screw pump rotor profile, which is characterized in that the rotor profile consists of five sections of curves which are sequentially connected end to end, a screw top circle AB with the radius R is sequentially formed in the anticlockwise direction, and the rotor profile can actively adjust the eccentricity a and the area utilization coefficient c of an eccentric center profile BC according to the sizes of the screw top circle and a screw root circle, so that the area utilization coefficient is well improved, the autonomous adjustment force is strong, and the design parameter space of the rotor profile is improved compared with the traditional screw end face profile.
Description
Technical Field
The invention relates to the field of screw vacuum pumps, in particular to a screw pump rotor profile.
Background
The core component of the double-screw vacuum pump is a pair of non-contact screw rotors which are meshed with each other, the two screws are subjected to fine dynamic balance correction, supported by a bearing and arranged in a pump shell, and a certain gap is reserved between the screws;
therefore, the design of the screw rotor needs to realize synchronous meshing motion without tooth surface interference, and the molded line of the screw rotor can directly influence the performance of the screw pump;
in the existing traditional rotor profile of a double-screw vacuum pump, the variable space of the parameters of the rotor profile is insufficient.
Disclosure of Invention
Aiming at the defects in the prior art, the invention aims to provide a screw pump rotor profile for improving the design parameter space of the rotor profile.
In order to achieve the purpose, the invention provides the following technical scheme: the screw pump rotor profile is composed of five sections of curves which are sequentially connected end to end, and sequentially comprises a screw top circle AB with the radius R, an eccentric center profile BC, a conjugate envelope CD of the eccentric center profile BC, a screw root circle DE with the radius R and an extended epicycloid EA in the anticlockwise direction, wherein R + R is 2R P ，R P The pitch radius of the screw rotor;
the eccentric center molded line BC is smoothly connected with the screw top circle AB, the eccentric center molded line BC is smoothly connected with the conjugate envelope line CD, and the conjugate envelope line CD is smoothly connected with the screw root circle DE;
the coordinate equation of the eccentric center type line BC is as follows:
in the formula, t is a parameter, a is an eccentric amount, R is a radius of a top circle of the screw, and c is an area utilization coefficient.
As a further improvement of the present invention, the coordinate equation of the conjugate envelope CD of the eccentric center type line BC is:
wherein, A is R + R, A is a constant and expresses the center distance of two screw rotors, t is a parameter, a is an eccentric amount, R is the radius of a screw top circle, and c is an area utilization coefficient;
θ is a function of t, consisting of
And (4) determining.
As a further improvement of the invention, the coordinate equation of the extended epicycloid EA is:
wherein t is a parameter.
As a further improvement of the present invention, the eccentric line BC is tangent to the screw tip circle AB at a point B, and the eccentric line BC intersects the conjugate envelope line CD at a point C on the pitch circle and is tangent to the point C.
The invention has the beneficial effects that: the rotor profile in the invention can actively adjust the eccentricity a and the area utilization coefficient c of the eccentric center profile BC according to the sizes of the top circle and the root circle of the screw, so that the area utilization coefficient is well improved, the self-regulating force is strong, and the design parameter space of the rotor profile is improved compared with the traditional screw end face profile.
Drawings
FIG. 1 is a schematic view of a rotor profile of the present invention;
FIG. 2 is a schematic diagram of the formation of the eccentric center line BC in the present invention;
FIG. 3 is a schematic illustration of the formation of an extended epicycloidal EA in accordance with the present invention;
FIG. 4 is the present inventionRotor profile and L in the middle 2 A control schematic of (a);
fig. 5 is a state diagram of two screw rotor profiles according to the invention.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings and examples. In which like parts are designated by like reference numerals. It should be noted that the terms "front," "back," "left," "right," "upper" and "lower" used in the following description refer to directions in the drawings, and the terms "bottom" and "top," "inner" and "outer" refer to directions toward and away from, respectively, the geometric center of a particular component.
Referring to fig. 1 to 5, the screw pump rotor profile of the present embodiment is composed of five sections of curves connected end to end in sequence, and includes a screw tip circle AB with a radius R, an eccentric center profile BC, a conjugate envelope CD of the eccentric center profile BC, a screw root circle DE with a radius R, and an extended epicycloid EA in sequence in the counterclockwise direction, where R + R is 2R P ，R P The pitch radius of the screw rotor;
the eccentric center molded line BC is smoothly connected with the screw top circle AB, the eccentric center molded line BC is smoothly connected with the conjugate envelope line CD, and the conjugate envelope line CD is smoothly connected with the screw root circle DE;
the coordinate equation of the eccentric center type line BC is as follows:
in the formula, t is a parameter, a is an eccentric amount, R is a radius of a top circle of the screw, and c is an area utilization coefficient.
Establishing a rectangular coordinate system by taking the center of a screw top circle AB with the radius of R as a circular point and OB as an X axis; the line segment OA and the line segment OC are located on a straight line and coincide with a 45-degree oblique line on the pitch circle.
The forming process of the eccentric center molded line BC is as follows: the standard core line L 1 The center point is changed through simple translation and no rotationTranslated to point (a, 0) such that the translated cardioid L 2 And tangent to the point B with the top circle of the screw, and through the intersection point of the pitch circle and the 45-degree oblique line, reserving the line segment to form an eccentric center molded line BC, and establishing a rectangular coordinate system by taking the circle center of the root circle of the screw as an origin.
The rotor profile in the invention can actively adjust the eccentricity a and the area utilization coefficient c of the eccentric center profile BC according to the sizes of the top circle and the root circle of the screw, so that the area utilization coefficient is well improved, the self-regulating force is strong, and the design parameter space of the rotor profile is improved compared with the traditional screw end face profile.
Referring to fig. 2, the coordinate equation of the conjugate envelope CD of the eccentric center line BC is:
wherein, A is R + R, A is a constant and expresses the center distance of two screw rotors, t is a parameter, a is an eccentric amount, R is the radius of a screw top circle, and c is an area utilization coefficient;
θ is a function of t, consisting of
And determining to obtain the conjugate envelope CD of the eccentric center type line BC by using a generating method.
The coordinate equation of the extended epicycloid EA is:
wherein t is a parameter.
The eccentric center line BC is tangent to the screw top circle AB at a point B, and the eccentric center line BC is intersected with the conjugate envelope line CD at a point C on a pitch circle and is tangent to the point C. Because B point in the eccentric center type line BC is smooth and tangent, the existence of a leakage triangle is completely eliminated, and the leakage between the front and rear stages of the screw rotor and between the screw rotor and the pump cavity is extremely small.
Referring to fig. 3, the mechanism of formation of the extended epicycloidal EA is: the radius of the rolling circle 2 is a pitch circle size, namely a base circle 1 and a rolling circle 2, wherein when the rolling circle 2 rolls anticlockwise along an intersection point of the rolling circle 2 and the base circle 1, a motion track of a point E fixed in the rolling circle 2 is an extended epicycloid EA, the motion track stops when intersecting with a screw top circle, and the distance from the center of the rolling circle 2 to the point A is the radius R of the screw top circle.
The above is only a preferred embodiment of the present invention, and the protection scope of the present invention is not limited to the above-mentioned embodiments, and all technical solutions belonging to the idea of the present invention belong to the protection scope of the present invention. It should be noted that modifications and embellishments within the scope of the invention may occur to those skilled in the art without departing from the principle of the invention, and are considered to be within the scope of the invention.
Claims (4)
1. Screw pump rotor molded lines, its characterized in that: the rotor profile consists of five sections of curves which are sequentially connected end to end, and is sequentially provided with a screw top circle AB with the radius of R, an eccentric center profile BC, a conjugate envelope CD of the eccentric center profile BC, a screw root circle DE with the radius of R and an extended epicycloid EA according to the anticlockwise direction, wherein R + R is 2R P ，R P The pitch radius of the screw rotor;
the eccentric center molded line BC is smoothly connected with the screw top circle AB, the eccentric center molded line BC is smoothly connected with the conjugate envelope line CD, and the conjugate envelope line CD is smoothly connected with the screw root circle DE;
the coordinate equation of the eccentric center type line BC is as follows:
in the formula, t is a parameter, a is an eccentric amount, R is a radius of a top circle of the screw, and c is an area utilization coefficient.
2. A screw pump rotor profile according to claim 1, wherein: the coordinate equation of the conjugate envelope CD of the eccentric center type line BC is as follows:
wherein, A is R + R, A is a constant and expresses the center distance of two screw rotors, t is a parameter, a is an eccentric amount, R is the radius of a screw top circle, and c is an area utilization coefficient;
θ is a function of t, consisting of
And (4) determining.
3. A screw pump rotor profile according to claim 1, wherein: the coordinate equation of the extended epicycloid EA is:
wherein t is a parameter.
4. A screw pump rotor profile according to claim 1, wherein: the eccentric center molded line BC is tangent to the screw top circle AB at a point B, and the eccentric center molded line BC and the conjugate envelope line CD are intersected at a point C on a pitch circle and are tangent to the point C.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210738984.8A CN115111160B (en) | 2022-06-24 | 2022-06-24 | Screw pump rotor |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210738984.8A CN115111160B (en) | 2022-06-24 | 2022-06-24 | Screw pump rotor |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN115111160A true CN115111160A (en) | 2022-09-27 |
| CN115111160B CN115111160B (en) | 2024-02-20 |
Family
ID=83330977
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202210738984.8A Active CN115111160B (en) | 2022-06-24 | 2022-06-24 | Screw pump rotor |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN115111160B (en) |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105952641A (en) * | 2016-07-11 | 2016-09-21 | 中国石油大学(华东) | Three-section type screw rotor and twin-screw vacuum pump comprising same |
| CN106194717A (en) * | 2016-08-31 | 2016-12-07 | 浙江威隆机械科技有限公司 | A kind of rubber screw rod molded lines of rotor being applicable to spiral displacement pump |
| CN108019348A (en) * | 2018-01-22 | 2018-05-11 | 中国石油大学(华东) | A kind of screw rotor for including elliptic arc |
| CN108050069A (en) * | 2018-01-22 | 2018-05-18 | 中国石油大学(华东) | A kind of complete smooth screw rotor of low leakage |
| WO2019119503A1 (en) * | 2017-12-19 | 2019-06-27 | 江南大学 | Method for modifying performance of rotor profile by adjusting meshing line segments |
-
2022
- 2022-06-24 CN CN202210738984.8A patent/CN115111160B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105952641A (en) * | 2016-07-11 | 2016-09-21 | 中国石油大学(华东) | Three-section type screw rotor and twin-screw vacuum pump comprising same |
| CN106194717A (en) * | 2016-08-31 | 2016-12-07 | 浙江威隆机械科技有限公司 | A kind of rubber screw rod molded lines of rotor being applicable to spiral displacement pump |
| WO2019119503A1 (en) * | 2017-12-19 | 2019-06-27 | 江南大学 | Method for modifying performance of rotor profile by adjusting meshing line segments |
| CN108019348A (en) * | 2018-01-22 | 2018-05-11 | 中国石油大学(华东) | A kind of screw rotor for including elliptic arc |
| CN108050069A (en) * | 2018-01-22 | 2018-05-18 | 中国石油大学(华东) | A kind of complete smooth screw rotor of low leakage |
Also Published As
| Publication number | Publication date |
|---|---|
| CN115111160B (en) | 2024-02-20 |
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