CN112555154A - Full-smooth self-meshing dry screw vacuum pump and rotor thereof - Google Patents
Full-smooth self-meshing dry screw vacuum pump and rotor thereof Download PDFInfo
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- CN112555154A CN112555154A CN202011395877.7A CN202011395877A CN112555154A CN 112555154 A CN112555154 A CN 112555154A CN 202011395877 A CN202011395877 A CN 202011395877A CN 112555154 A CN112555154 A CN 112555154A
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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
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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
- F04C25/00—Adaptations of pumps for special use of pumps for elastic fluids
- F04C25/02—Adaptations of pumps for special use of pumps for elastic fluids for producing high vacuum
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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
- F04C2240/00—Components
- F04C2240/20—Rotors
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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
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- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- General Engineering & Computer Science (AREA)
- Applications Or Details Of Rotary Compressors (AREA)
- Rotary Pumps (AREA)
Abstract
The profile of the dry type screw vacuum pump comprises a modified circular arc section a 'b', a circular arc swinging section b 'c', a tooth root circular arc section c'd', a volute section d 'e', a volute conjugate curve section e 'f' and a tooth top circular arc section f 'a' which are connected in sequence, wherein the modified circular arc section a 'b' of one rotor is meshed with the circular arc swinging section b 'c' of the other rotor, and the rest of the line sections are correspondingly meshed in sequence according to the respective rotating directions of the male rotor and the female rotor. The invention also provides a dry screw vacuum pump, and the rotor adopts the full-smooth self-meshing dry screw vacuum pump rotor. The invention can realize no leakage and full meshing when the male and female rotors work, and is convenient for processing and manufacturing. The middle of the tooth root circular arc and the tooth top circular arc adopts a volute line and a conjugate curve thereof, the contact line is short, and the area between the teeth is large, so that the vacuum pump has higher volumetric efficiency.
Description
Technical Field
The invention belongs to the field of mechanical engineering, and particularly relates to a full-smooth self-meshing dry screw vacuum pump and a rotor thereof.
Background
In recent years, with the rapid development of semiconductor industry, microelectronic industry, IT industry and other industries, the requirements for vacuum environment are increasing day by day, and dry vacuum pumps are in force. The dry vacuum pump has the advantages of low carbon, environmental protection, oil-free operation, stability, high efficiency, strong adaptability and the like, particularly, the dry vacuum pump does not need any other medium in the pump cavity in the working process, really realizes the dry mode operation, and fundamentally solves the problem of oil gas pollution in the vacuum chamber.
The screw vacuum pump is an air pumping device which generates air suction and exhaust functions by the synchronous high-speed reverse rotation of a rotor in a pump shell, two screws are precisely and dynamically balanced and corrected and are supported by bearings, and the screw vacuum pump is arranged in the pump shell, and a certain gap is reserved between the screws.
The core of the dry-type double-screw vacuum pump is the molded line of the rotor, the molded line influences the volumetric efficiency and the thermodynamic performance of the vacuum pump, and the good molded line can improve the efficiency of the vacuum pump and reduce the theoretical leakage amount.
The profiles of the two rotors of the dry screw vacuum pump are required to be meshed to form a closed meshing line. While requiring the formation of a smaller leakage triangle. The presence of sharp points in the rotor profile is undesirable in view of the effects of assembly, transport and wear during operation. Therefore, it is necessary to provide a smooth continuous profile that can meet the self-engagement requirements, and meet the production and manufacturing requirements.
Disclosure of Invention
The invention aims to solve the problem of leakage of a dry screw vacuum pump rotor in the prior art, provides a full-smooth self-meshing dry screw vacuum pump and a rotor thereof, and improves the volumetric efficiency of the vacuum pump.
In order to achieve the purpose, the invention has the following technical scheme:
the full-smooth self-meshing dry screw vacuum pump rotor has the same profile of a male rotor and a female rotor, and the profile comprises a modified circular arc section a 'b', a circular arc swing section b 'c', a tooth root circular arc section c'd', a volute section d 'e', a volute conjugate curve section e 'f' and a tooth top circular arc section f 'a' which are connected in sequence, wherein the modified circular arc section a 'b' of one rotor is meshed with the circular arc swing section b 'c' of the other rotor, and the rest of the segments are correspondingly meshed in sequence according to the respective rotating directions of the male rotor and the female rotor.
Preferably, the first derivative of the connection point of the root arc segment c'd' and the volute segment d 'e' is continuous, the first derivative of the connection point of the volute segment d 'e' and the volute line conjugate curve segment e 'f' is continuous, the first derivative of the volute line conjugate curve segment e 'f' and the addendum arc segment f 'a' is continuous, the first derivative of the addendum arc segment f 'a' and the correction arc segment a 'b' is continuous, the first derivative of the correction arc segment a 'b' and the arc swing segment b 'c' is continuous, and the first derivative of the arc swing segment b 'c' and the dedendum arc segment c'd' is continuous.
Preferably, the arc radius of the tooth root arc segment c'd' is R, the arc radius of the tooth top arc segment f 'a' is R, and the center distance between the male rotor and the female rotor is as follows: a ═ R + R.
Preferably, the arc radius of the modified arc segment a 'b' is rr, and the center of the circle is O1Is (a, b), the corresponding profile equation is:
in the formula, alpha1And alpha2Respectively, the initial angle and the final angle of the modified arc segment a 'b'.
Preferably, the equation of the profile of the circular arc cycloid segment b 'c' is as follows:
in the formula, gamma1And gamma2Respectively, the starting angle and the ending angle of the circular arc cycloid segment b 'c'.
Preferably, the type line equation of the tooth root arc segment c'd' is as follows:
in the formula, theta is an angle parameter of a tooth root arc segment c'd', beta1Is the end angle of the arc segment c'd' of the tooth root.
Preferably, the type line equation of the volute line segment d 'e' is as follows:
where θ is an angle parameter selected from the line segments, a1 and b1 are respectively given constants, β1Is the starting angle, beta, of the snail-shaped segment d' e2The termination angle of the snail line segment d 'e'.
Preferably, the type line equation of the snail line conjugate curve segment e 'f' is as follows:
in the formula, theta is an angle parameter selected from a volute line conjugate curve segment e 'f',is a position parameter, beta, of a volute line conjugate curve segment e' f2Is the starting angle, beta, of the conjugate curve segment e 'f' of the snail curve3Is the ending angle of the volute line conjugate curve segment e 'f'.
Preferably, the profile equation of the addendum arc segment f 'a' is as follows:
in the formula, theta is an angle parameter of the addendum arc section f 'a', beta4Is the end angle of the addendum arc segment f 'a'.
The rotor of the dry screw vacuum pump adopts the full-smooth self-meshing dry screw vacuum pump rotor.
Compared with the prior art, the invention has the following beneficial effects: the profiles of the male and female rotors are the same, the corrected arc section of one rotor is meshed with the arc cycloid section of the other rotor, the rest segments are correspondingly meshed in sequence according to the respective rotating directions of the male and female rotors, leakage and full meshing can be achieved when the male and female rotors work, and the male and female rotors are convenient to process and manufacture. The middle of the tooth root circular arc and the tooth top circular arc adopts a volute line and a conjugate curve thereof, the contact line is short, and the area between the teeth is large, so that the vacuum pump has higher volumetric efficiency.
Drawings
FIG. 1 is a schematic view of the original rotor profile of a dry screw vacuum pump;
FIG. 2 is a schematic view of a single rotor profile and a partial enlargement of a dry screw vacuum pump according to the present invention;
FIG. 3 is a schematic view of the projection of the contact line of the rotor profile of the dry screw vacuum pump according to the present invention in the x0y coordinate system;
FIG. 4 is a schematic view of a projection of a contact line of a rotor profile of a dry screw vacuum pump according to the present invention in a y0z coordinate system;
FIG. 5 is a schematic view of the spatial meshing line of the rotor profile of the dry screw vacuum pump according to the present invention.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings.
The invention provides a full-smooth self-meshing dry screw vacuum pump rotor, which provides a novel arc correction method for sharp points of molded lines and converts point meshing cycloids into cycloids which are meshed with arcs and have equidistant lines. The original sharp point type line structure is shown in fig. 1 and sequentially comprises a sharp point a, an addendum arc ab, a conjugate curve bc of a volute line, a volute line cd, a dedendum arc de and an epicycloid ea engaged with points from head to tail. The profile of the female rotor is identical to the male rotor, which is the theoretical profile of that profile. And the actual production manufacturing process has to process the material and carry out fillet machining on the material. After rounding, the cycloid, which originally meshes with the point, cannot mesh with the circular arc, so that the leakage at the sharp point is increased. Aiming at the situation, the invention provides a new arc correction method, and the corrected arc is meshed with the arc cycloid, so that no leakage and full meshing can be realized theoretically. The middle of the tooth root circular arc and the tooth top circular arc adopts a volute line and a conjugate curve thereof, the contact line is short, and the area between the teeth is large, so that the vacuum pump has higher volumetric efficiency.
The molded line meets the meshing theorem, the molded lines of the male rotor and the female rotor are the same, and a small leakage triangle exists. This dry-type screw vacuum pump rotor molded lines, tooth root circular arc radius are R, and the tooth top circular arc is R, then negative and positive rotor centre-to-centre spacing is:
A=R+r
let the radius of the modified arc segment a 'b' be rr and the center of the circle be O1The equation for the circle is:
in the formula, the center of a circle O1Coordinates (a0, b0), α1And alpha2Respectively, the initial angle and the final angle of the modified arc segment a 'b'.
The equation of the circular arc cycloid section b 'c' meshed with the modified circular arc section a 'b' is as follows:
in the formula, gamma1And gamma2Respectively, the starting angle and the ending angle of the circular arc cycloid segment b 'c'.
The profile equation for the root arc segment c'd' is:
in the formula, theta is an angle parameter of a tooth root arc segment c'd', beta1Is the end angle of the arc segment c'd' of the tooth root.
The equation of the profile of the volute segment d 'e' is:
where θ is an angle parameter selected from the line segments, a1 and b1 are respectively given constants, β1Is the starting angle, beta, of the snail-shaped segment d' e2The termination angle of the snail line segment d 'e'.
The type line equation of the volute line conjugate curve segment e 'f' is obtained by the coordinate transformation and the envelope condition of the selected volute line:
in the formula, theta is an angle parameter selected from a volute line conjugate curve segment e 'f',is a position parameter, beta, of a volute line conjugate curve segment e' f2Is the starting angle, beta, of the conjugate curve segment e 'f' of the snail curve3Is the ending angle of the volute line conjugate curve segment e 'f'.
The profile equation of the tooth crest arc segment f 'a' is as follows:
in the formula, theta is an angle parameter of the addendum arc section f 'a', beta4Is the end angle of the addendum arc segment f 'a'.
The rotor of the dry screw vacuum pump adopts the fully smooth self-meshing dry screw vacuum pump rotor.
Examples
For example, the tip arc radius R is 65mm, the root arc R is 33mm, and the small arc rr is 1mm, and the profile and the contact line are shown in fig. 2, fig. 3, fig. 4, and fig. 5. The center distance between a male rotor and a female rotor in the rotor molded line of the dry type screw vacuum pump is as follows:
A=R+r=98mm
the equation of the circular arc cycloid section b 'c' meshed with the modified circular arc section a 'b' is as follows:
the equation for the modified arc segment a 'b' is:
The circle center is the intersection point of a curve which is 1mm away from the circular arc cycloid section b 'c' at equal distance and a circle with the radius of 64 mm.
The arc cycloid segment b 'c' is tangent to the circle of the corrected arc segment a 'b', the tangent point is N, the coordinates of N points are respectively substituted into the equation of the corrected arc segment a 'b' and the equation of the arc cycloid segment b 'c', and the termination angle alpha of the corrected arc segment a 'b' can be respectively obtainedxiaoyuan_endAnd the end angle alpha of the circular arc cycloid segment b' cbaideng_end. At this time, the circular arc and the circular arc cycloid are obtained. The arc cycloid segment b 'c' is tangent to the tooth root arc segment c'd', the tangent point is P point, and the initial angle alpha of the arc cycloid segment b 'c' can be obtainedbaideng_start。
The equation for the modified arc segment a 'b' is:
the arc section c'd' of the tooth root has the equation:
in the formula, θ is an angle parameter of the tooth root arc segment c'd'.
The equation for the snail segment d 'e' is:
where θ is an angle parameter selected from the line segments, a1 and b1 are respectively given constants, β1Is the starting angle, beta, of the snail-shaped segment d' e2The termination angle of the snail line segment d 'e'.
The type line equation of the volute line conjugate curve segment e 'f' is obtained by the coordinate transformation and the envelope condition of the selected volute line, and the coordinate equation is as follows:
in the formula, theta is an angle parameter selected from a volute line conjugate curve segment e 'f',is a position parameter, beta, of a volute line conjugate curve segment e' f2Is the starting angle, beta, of the conjugate curve segment e 'f' of the snail curve3Is the ending angle of the volute line conjugate curve segment e 'f'.
The equation of the tooth crest circular arc section f 'a' is as follows:
in the formula, θ is an angle parameter of the addendum arc segment f 'a'.
And sequentially connecting the modified arc section a 'b', the arc pendulum line section b 'c', the tooth root arc section c'd', the volute line section d 'e', the volute line conjugate curve section e 'f' and the tooth top arc section f 'a' to obtain the molded line of the rotor.
Rotate the rotor profile clockwiseAnd obtaining the molded lines of the male rotor and the female rotor at the same positions.
The original profile with sharp points was compared to the profile designed according to the present invention. The corrected circular arc is meshed with the circular arc cycloid, so that leakage and full meshing can be theoretically achieved, and the processing and manufacturing are convenient. Because the volute line and the conjugate curve thereof are adopted between the tooth root circular arc and the tooth top circular arc, the contact line is short, the area between the teeth is large, and the vacuum pump has higher volumetric efficiency.
The above-mentioned embodiments are only preferred embodiments of the present invention, and are not intended to limit the technical solution of the present invention, and it should be understood by those skilled in the art that the technical solution can be modified and replaced by a plurality of simple modifications and replacements without departing from the spirit and principle of the present invention, and the modifications and replacements also fall into the protection scope covered by the claims.
Claims (10)
1. The utility model provides a full smooth self-engaging dry-type screw vacuum pump rotor which characterized in that: the molded lines of the male and female rotors are the same, and comprise a modified circular arc section a 'b', a circular arc swinging section b 'c', a tooth root circular arc section c'd', a volute section d 'e', a volute conjugate curve section e 'f' and a tooth top circular arc section f 'a' which are connected in sequence, wherein the modified circular arc section a 'b' of one rotor is meshed with the circular arc swinging section b 'c' of the other rotor, and the rest of the line sections are correspondingly meshed in sequence according to the respective rotating directions of the male and female rotors.
2. The fully smooth, self-intermeshing dry screw vacuum pump rotor of claim 1, wherein:
the first derivative of the connecting point of the tooth root arc segment c'd' and the volute segment d 'e' is continuous, the first derivative of the connecting point of the volute segment d 'e' and the volute line conjugate curve segment e 'f' is continuous, the first derivative of the volute line conjugate curve segment e 'f' and the tooth top arc segment f 'a' is continuous, the first derivative of the tooth top arc segment f 'a' and the correction arc segment a 'b' is continuous, the first derivative of the correction arc segment a 'b' and the arc swing segment b 'c' is continuous, and the first derivative of the arc swing segment b 'c' and the tooth root arc segment c'd' is continuous.
3. A fully smooth self-intermeshing dry screw vacuum pump rotor as claimed in claim 1, wherein the arc radius of the root arc segment c'd' is R and the arc radius of the tip arc segment f 'a' is R, the center distance between the male and female rotors is: a ═ R + R.
4. A fully smooth self-intermeshing dry screw vacuum pump rotor as claimed in claim 1, wherein the modified arc segment a 'b' has an arc radius rr and a center O1Is (a, b), the corresponding profile equation is:
in the formula, alpha1And alpha2Respectively, the initial angle and the final angle of the modified arc segment a 'b'.
7. A fully smooth self-intermeshing dry screw vacuum pump rotor as claimed in claim 1, wherein the profile equation of the volute segment d 'e' is:
where θ is an angle parameter selected from the line segments, a1 and b1 are respectively given constants, β1Is the starting angle, beta, of the snail-shaped segment d' e2The termination angle of the snail line segment d 'e'.
8. A fully smooth self-intermeshing dry screw vacuum pump rotor as claimed in claim 1, wherein the profile equation of the snail curve conjugate curve segment e 'f' is:
in the formula, theta is an angle parameter selected from a volute line conjugate curve segment e 'f',is a position parameter, beta, of a volute line conjugate curve segment e' f2Is the starting angle, beta, of the conjugate curve segment e 'f' of the snail curve3Is the ending angle of the volute line conjugate curve segment e 'f'.
10. A dry screw vacuum pump, its characterized in that: the rotor adopts the full-smooth self-meshing dry screw vacuum pump rotor as claimed in any one of claims 1 to 9.
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CN112555154B CN112555154B (en) | 2022-03-18 |
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Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN113638880A (en) * | 2021-09-06 | 2021-11-12 | 台州学院 | Screw vacuum pump and screw rotor thereof |
CN115076106A (en) * | 2022-06-24 | 2022-09-20 | 宁波爱发科机械制造有限公司 | Rotor profile of screw vacuum pump |
CN117006048A (en) * | 2023-08-25 | 2023-11-07 | 顺气科技(无锡)有限公司 | Conical rotor of dry screw vacuum pump |
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CN105201827A (en) * | 2015-10-19 | 2015-12-30 | 西安交通大学 | Twin-screw vacuum pump rotor profile |
CN205388011U (en) * | 2015-11-09 | 2016-07-20 | 中国石油大学(华东) | Screw rotor of no acute angle cusp and twin screw vacuum pump thereof |
CN205388015U (en) * | 2015-11-09 | 2016-07-20 | 中国石油大学(华东) | Twin screw vacuum pump's complete glossy screw rotor and vacuum pump thereof |
CN107989792A (en) * | 2018-01-22 | 2018-05-04 | 中国石油大学(华东) | A kind of complete smooth screw rotor |
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 |
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2020
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CN104776027A (en) * | 2013-04-26 | 2015-07-15 | 巫修海 | Screw rotor profile line of strictly-sealed dry screw vacuum pump |
CN105201827A (en) * | 2015-10-19 | 2015-12-30 | 西安交通大学 | Twin-screw vacuum pump rotor profile |
CN205388011U (en) * | 2015-11-09 | 2016-07-20 | 中国石油大学(华东) | Screw rotor of no acute angle cusp and twin screw vacuum pump thereof |
CN205388015U (en) * | 2015-11-09 | 2016-07-20 | 中国石油大学(华东) | Twin screw vacuum pump's complete glossy screw rotor and vacuum pump thereof |
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Publication number | Priority date | Publication date | Assignee | Title |
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CN113638880A (en) * | 2021-09-06 | 2021-11-12 | 台州学院 | Screw vacuum pump and screw rotor thereof |
CN115076106A (en) * | 2022-06-24 | 2022-09-20 | 宁波爱发科机械制造有限公司 | Rotor profile of screw vacuum pump |
CN115076106B (en) * | 2022-06-24 | 2023-12-08 | 宁波爱发科机械制造有限公司 | Screw vacuum pump rotor |
CN117006048A (en) * | 2023-08-25 | 2023-11-07 | 顺气科技(无锡)有限公司 | Conical rotor of dry screw vacuum pump |
CN117006048B (en) * | 2023-08-25 | 2024-04-09 | 顺气科技(无锡)有限公司 | Conical rotor of dry screw vacuum pump |
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