CN206448946U - A kind of conical screw rotor of self-balancing - Google Patents

A kind of conical screw rotor of self-balancing Download PDF

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Publication number
CN206448946U
CN206448946U CN201621334880.7U CN201621334880U CN206448946U CN 206448946 U CN206448946 U CN 206448946U CN 201621334880 U CN201621334880 U CN 201621334880U CN 206448946 U CN206448946 U CN 206448946U
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China
Prior art keywords
arc
screw rotor
circular arc
molded line
rotor
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Withdrawn - After Issue
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CN201621334880.7U
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Chinese (zh)
Inventor
崔锋
张凌宏
王君
刘瑞青
魏蜀红
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China University of Petroleum East China
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China University of Petroleum East China
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Abstract

The utility model discloses a kind of conical screw rotor of self-balancing, screw rotor is integrally conical, from suction end (I I) to exhaust end (VII VII), rotor outside circle arc radius R1It is gradually reduced, fillet radius R3Gradually increase;The addendum thickness δ of screw rotor1With thickness at root of tooth δ2Axially maintain constant;In any axial positions, section molded line is change, but the type of the constituent curve of section molded line is identical, and all including 12 curves, connection is completely smooth between adjacent curve;A kind of varying pitch conical screw rotor of the self-balancing proposed can be effectively increased suction end working chamber volume, reduce exhaust end working chamber volume, rotor is had larger internal volume ratio, and ensure that the interstage seal performance of exhaust end and the intensity of rotor;In any axial positions of screw rotor, the centre of form of section molded line is all on the centre of gyration line of screw rotor, and the dynamic balance performance of screw rotor is good.

Description

A kind of conical screw rotor of self-balancing
Technical field
The present invention relates to Twin-screw vacuum pump, more particularly to suitable for Twin-screw vacuum pump a kind of self-balancing taper spiral shell Bar rotor.
Background technology
Twin-screw vacuum pump is a kind of positive-displacement vacuum pump, and because of its pumping chamber dry type oil-free, operate steadily reliable advantage, It is widely used in petrochemical industry, food pharmaceutical, vacuum heat, nanometer manufacture, defense technology field;Twin-screw vacuum pump passes through The incorgruous dual AC power motion of synchronization of two screw rotors, completes air-breathing, transport, compression and exhaust process of the gas in pump chamber; The performance of screw rotor and its section molded line, interstage seal performance, mechanical property and the limit for directly affecting screw vacuum pump is true Reciprocal of duty cycle.
Single head conical screw rotor disclosed in patent CN101351646, suction end external diameter is big, and exhaust end external diameter is small, work When there is interior compression process;The transverse tooth thickness changing rule of the screw rotor is:Addendum thickness close to suction end is larger, occupies one Part aspirated volume, influences rate of air sucked in required, higher close to exhaust end gas pressure, but addendum thickness is smaller, it is impossible to effectively stop high Leaked between the level that body of calming the anger passes through crest top land;While the screw rotor, the centre of form of its axial cross section is not in the revolution of screw rotor On center line, the normal engagement of eccentric force influence is also easy to produce.
The content of the invention
There is eccentric force, section molded line in order to solve the screw rotor in above-mentioned document to there is cusp, suction end tooth top thick The problem of leaking larger between the larger occupancy aspirated volume of degree, the smaller level for passing the gas through crest top land of exhaust end addendum thickness, be The species of abundant screw rotor, the present invention proposes a kind of conical screw rotor of self-balancing;Screw rotor is tapered, from air-breathing (I-I) is held to arrive exhaust end (VII-VII), the section molded line of screw rotor is change;The helical pitch P of screw rotor is axially maintained not Become, by controlling the central angle alpha of screw rotor addendum circle arc, make the addendum thickness δ of screw rotor1With thickness at root of tooth δ2All the time not Become and equal, thus there can be aspirated volume of the increase screw rotor in suction end (I-I), effect stop screw rod rotor is in exhaust end Leaked between the level that gas passes through crest top land between (VII-VII) two, place operated adjacent chamber, while increasing screw rotor in exhaust end The intensity at (VII-VII) place, Reducing distortion;The section molded line that screw rotor is used is smooth and can realize and correctly nibble Close, eliminate the harmful effect of rough tie point, improve the force-bearing situation of screw rotor;The screw rotor proposed is any Axial positions, its section molded line is S-shaped, and the centre of form of section molded line turns screw rod all on the centre of gyration line of screw rotor Son has good dynamic balance performance;The screw rotor proposed, can increase suction end working chamber volume, reduce exhaust end Interior volume specific ratio in working chamber volume, the increase course of work, improves the pumping speed and final vacuum of Twin-screw vacuum pump.
To achieve these goals, the present invention is adopted the following technical scheme that:
The conical screw rotor of a kind of self-balancing proposed by the present invention, from suction end (I-I) to exhaust end (VII-VII), spiral shell Bar rotor is tapered, and screw rotor is complete smooth, in the absence of rough place;The helical pitch P of screw rotor is axially maintained not Become;The addendum thickness δ of screw rotor1With thickness at root of tooth δ2All the time it is constant and equal, i.e. δ12;In any axial positions, spiral shell The section molded line of bar rotor be S-shaped, and section molded line the centre of form on the centre of gyration line of screw rotor.
A kind of conical screw rotor of self-balancing, in any axial positions, the section molded line of screw rotor is different from, Change, but on the molded line of section each section of constituent curve type it is identical with quantity, totally 12 sections of curves, including:First outside circle Arc AB, the first tip circular-arc BC, the equidistant curve CD of the first cycloid, the first tooth root circular arc DE, the envelope of the first connection circular arc EF, the first connection circular arc FG, the second addendum circle arc GH, the second tip circular-arc HI, the equidistant curve IJ of the second cycloid, the second tooth root Circular arc JK, the envelope KL of the second connection circular arc, the second connection circular arc LA;All it is to be completely smooth connection between adjacent two sections of curves , rough tie point is not present on the molded line of section;The first addendum circle arc AB, the first tip circular-arc BC on the molded line of section, The equidistant curve CD of one cycloid, the second tooth root circular arc JK, the envelope KL of the second connection circular arc, the second connection circular arc LA, respectively It is connected with the second addendum circle arc GH, the second tip circular-arc HI, the equidistant curve IJ of the second cycloid, the first tooth root circular arc DE, first The envelope EF of circular arc, the first connection circular arc FG are centrosymmetric on centre of gyration point O.
A kind of conical screw rotor of self-balancing, in the course of the work, left-hand screw rotor (301) and right-hand screw rotor (302) in synchronous incorgruous dual AC power motion, right-on engagement can be realized;In any axial positions, left-handed screw The left-handed section molded line (201) of rotor (301) is identical with the dextrorotation section molded line (202) of right-hand screw rotor (302), only It is that phase is different;The first addendum circle arc AB, the first crown circle on the left-handed section molded line (201) of left-hand screw rotor (301) Arc BC, the equidistant curve CD of the first cycloid, the second tooth root circular arc JK, the envelope KL of the second connection circular arc, the second connection circular arc LA, respectively with the second tooth root circular arc jk on the dextrorotation section molded line (202) of right-hand screw rotor (302), the second cycloid etc. The envelope ef of circular arc is connected away from curve ij, the second tip circular-arc hi, the second addendum circle arc gh, the second connection circular arc fg, second Correct engagement can be realized.
A kind of conical screw rotor of self-balancing, left-hand screw rotor (301) is by left-handed section molded line (201) from suction end (I-I) deploys to exhaust end (VII-VII) along left-handed twist, and right-hand screw rotor (302) is by dextrorotation section molded line (202) from suction Deploy to exhaust end (VII-VII) along right-hand helix at gas end (I-I);With flat where the centre of gyration line of screw rotor and suction end The intersection point in face is the origin of coordinates, using centre of gyration line as z-axis, sets up three-dimensional coordinate system, helix equation is:
Left-handed twist:
Right-hand helix:
In formula:τ-spiral angle of spread, rad;R-helix base radius, mm;N-screw rod helical pitch number;P-screw rotor Helical pitch;
While the section molded line of screw rotor deploys along helix, in any axial positions, the tooth of section molded line Tip circle arc radius R1, fillet radius R3, addendum circle arc central angle alpha also change with spiral angle of spread τ change, its advise Restrain and be:
Addendum circle arc radius:
Fillet radius:
The central angle of addendum circle arc:
In formula:Rs1、Rd1- respectively in the addendum circle arc radius at suction end (I-I) and exhaust end (VII-VII) place;Rs3、 Rd3- respectively in the fillet radius at suction end (I-I) and exhaust end (VII-VII) place;αs- at suction end (I-I) place The central angle of addendum circle arc.
5th, the conical screw rotor of a kind of self-balancing as claimed in claim 1, it is characterized in that:Left-hand screw rotor (301) each curvilinear equation on left-handed section molded line (201) is as follows:
1. the first addendum circle arc AB equation is:
2. the first tip circular-arc BC equation is:
In formula:R-tip circular-arc radius;(xM,yMThe centre point M of)-tip circular-arc coordinate;
Determine the centre point M (x of tip circular-arcM,yM) coordinate, the following two equations of simultaneous first obtain intersection point:
By intersection point determined by above-mentioned equation, turned clockwise β angles around revolution central point O, crown centre point M can be obtained (xM,yM);Wherein
3. the equidistant curve CD of the first cycloid determination mode is:
First one section of curve is determined by following equations:
By curve determined by above-mentioned equation, turned clockwise β angles around revolution central point O, can obtain the first cycloid etc. Away from curve CD;
4. the second tooth root circular arc JK equation is:
5. the envelope KL of the second connection circular arc determination mode is:
First one section of curve is determined by following equations:
By initial curve determined by above-mentioned equation, turned clockwise α angles around revolution central point O, the second connection can be obtained The envelope KL, α of circular arc are the central angle of addendum circle arc;
6. the second connection circular arc LA equation is:
In formula:Lp- the second connection circular arc LA centre point N is determined apart from centre of gyration point O length by below equation:
Beneficial effects of the present invention are:
1. a kind of conical screw rotor of the self-balancing proposed, screw rotor is tapered, from the suction end of screw rotor (I-I) addendum circle arc radius R on exhaust end (VII-VII), section molded line is arrived1It is gradually reduced, fillet radius R3Gradually increase, The working chamber volume of suction end can fully be increased, reduce the working chamber volume of exhaust end, rotor is had larger internal volume ratio, improved The pumping speed of Twin-screw vacuum pump;
2. the addendum thickness δ of screw rotor1With thickness at root of tooth δ2Axially maintain constant and equal, i.e. δ12, Ke Yijin One step increases suction end working chamber volume, effectively stops leakage between the level for passing through crest top land close to gas at exhaust end, and ensure The on high-tension side intensity of screw rotor, reduces deformation during work;
3. the section molded line of screw rotor, the equidistant curve and addendum circle arc of cycloid, spiral shell are connected using one section of tip circular-arc Bar rotor is complete smooth and can realize correct engagement, while eliminating the region of stress concentration of rough tie point, improves spiral shell The force-bearing situation of bar rotor, and the leakage aggravation for preventing cusp abrasion from causing;
4. in any axial positions, the section molded line of screw rotor is S-shaped, and the centre of form of section molded line is in screw rotor On centre of gyration line, i.e., screw rotor has good dynamic balance performance.
Brief description of the drawings
Fig. 1 is the section molded lines of the conical screw rotor of self-balancing.
Fig. 2 is the engagement figure of the section molded line of two screw rotors.
Fig. 3 is the conical screw rotor figure of self-balancing.
The engagement figure of the conical screw rotor of two self-balancings when Fig. 4 is work.
Fig. 5 is the section molded line engagement figure in any two screw rotors of axial positions.
In figure:R1、R2、R3- be respectively section molded line on addendum circle arc radius, pitch radius, fillet radius, three The length relation of person is:2R2=R1+R3;The central angle of α-addendum circle arc;The centre point M of β-tip circular-arc is relative to x-axis Phase angle;δ1The addendum thickness of-screw rotor;δ2The thickness at root of tooth of-screw rotor;The helical pitch of P-screw rotor;301-left Revolve screw rotor;302-right-hand screw rotor;The left-handed section molded line of 201-left-hand screw rotor;202-right handed screw turns The dextrorotation section molded line of son;The centre of gyration point of point O, o-respectively two screw rotor section molded line, the axis difference at place For the centre of gyration line of two screw rotors.
Embodiment
The invention will be further described with embodiment below in conjunction with the accompanying drawings.
As shown in figure 1, the section molded lines of the conical screw rotor for self-balancing;The section molded line of screw rotor refers to: With a plane perpendicular to screw rotor centre of gyration line, screw rotor is blocked from any axial positions, section part is obtained Contour curve;The section molded line of screw rotor is surrounded by 12 sections of curves, is followed successively by clockwise:First addendum circle arc AB, first Tip circular-arc BC, the equidistant curve CD of the first cycloid, the first tooth root circular arc DE, the envelope EF of the first connection circular arc, first connect Connect circular arc FG, the second addendum circle arc GH, the second tip circular-arc HI, the equidistant curve IJ of the second cycloid, the second tooth root circular arc JK, The envelope KL of two connection circular arcs, the second connection circular arc LA;It is smoothly connected between adjacent curve, the section type of whole screw rotor Rough tie point is not present on line;Whole cross section molded line is the first addendum circle arc on S-shaped and Central Symmetry, section molded line AB, the first tip circular-arc BC, the equidistant curve CD of the first cycloid, the second tooth root circular arc JK, second connection circular arc envelope KL, Second connection circular arc LA, respectively with the second addendum circle arc GH, the second tip circular-arc HI, the equidistant curve IJ of the second cycloid, first Tooth root circular arc DE, the envelope EF of the first connection circular arc, the first connection circular arc FG are centrosymmetric on centre of gyration point O.
As shown in Fig. 2 the engagement figure of the section molded line for two screw rotors;In same axial positions, two screw rods The section molded line of rotor is identical, and simply phase is different;The first addendum circle arc AB in left-handed section molded line (201), first Tip circular-arc BC, the equidistant curve CD of the first cycloid, the first tooth root circular arc DE, the envelope EF of the first connection circular arc, first connect Circular arc FG is met, respectively with the second tooth root circular arc jk in dextrorotation section molded line (202), the equidistant curve ij of the second cycloid, second Tip circular-arc hi, the second addendum circle arc gh, the second connection circular arc fg, the envelope ef of the second connection circular arc can be realized correctly Engagement.
As shown in figure 3, being the conical screw rotor figure of self-balancing;I-I and VII-VII represents screw rotor air-breathing respectively in figure End axial location corresponding with exhaust end;Left-hand screw rotor (301) from left-handed section molded line (201) from suction end (I-I) to Exhaust end (VII-VII) deploys along left-handed twist, right-hand screw rotor (302) by dextrorotation section molded line (202) from suction end (I- I) deploy to exhaust end (VII-VII) along right-hand helix;While spiral deploys, the addendum circle arc radius R on the molded line of section1 It is gradually reduced, fillet radius R3Gradually increase, make the global shape of screw rotor tapered;Helix is left-handed and dextrorotation It is defined as:Point to dynamic point on exhaust extreme direction, helix by suction end with left hand thumb is along remaining four sensings rising referred to It is left-handed;Dynamic point on exhaust extreme direction, helix is pointed to by suction end with hand thumb and rises the as right side along remaining four sensing referred to Rotation.
As shown in figure 4, during for work the conical screw rotor of two self-balancings engagement figure;The helical pitch P edges of screw rotor Axially retain constant, addendum thickness δ1With thickness at root of tooth δ2Axially maintain constant and equal, i.e. δ12;On section molded line edge During helix expansion generation rotor, spiral angle of spread τ value takes 0,π, 2 π, 3 π, during 4 π, corresponding axle Represented respectively with I-I, II-II, III-III, IV-IV, V-V, VI-VI, VII-VII to position.
As shown in figure 5, in the section molded line engagement figure of any two screw rotors of axial positions;Fig. 5 (a), (b), (c), (d), (e), (f), (g) are corresponded in axial location I-I, II-II, III-III, IV-IV, V-V, VI-VI, VII-VII respectively Place, the instantaneous engagement figure of two screw rotor section molded line;It can be seen that the section molded line in any two screw rods of axial positions is At a fully engaged, it can be said that bright two screw rotors are intermeshing on the whole;At axially different position, section type The Major Variation of line is:From suction end (I-I) to exhaust end (VII-VII), the addendum circle arc half of rotor axial section molded line Footpath R1It is gradually reduced, fillet radius R3Gradually increase;Thus the two mutual at a fully engaged screw rotors generated, by inhaling Exhaust end (VII-VII) is arrived at gas end (I-I), and working chamber volume is gradually reduced, and screw rotor is there is interior compression process.
Although above-mentioned the embodiment of the present invention is described with reference to accompanying drawing, not to present invention protection model The limitation enclosed, one of ordinary skill in the art should be understood that on the basis of technical scheme those skilled in the art are not Need to pay various modifications or deform still within protection scope of the present invention that creative work can make.

Claims (8)

1. a kind of conical screw rotor of self-balancing, it is characterized in that:Screw rotor is tapered, from suction end (I-I) to exhaust end (VII-VII), the addendum circle arc radius R of screw rotor1It is gradually reduced, fillet radius R3Gradually increase, and screw rotor is complete Smooth, in the absence of rough place;The helical pitch P of screw rotor axially maintains constant;Addendum thickness δ1With thickness at root of tooth δ2Along axle To constant and equal, the i.e. δ of holding12;In any axial positions, the section molded line of screw rotor is S-shaped, and section molded line The centre of form all on the centre of gyration line of screw rotor.
2. a kind of conical screw rotor of self-balancing as claimed in claim 1, it is characterized in that:In any axial positions, spiral shell The section molded line of bar rotor is different from, be change, but on the molded line of section each section of constituent curve type it is identical with quantity, altogether 12 sections of curves, including:First addendum circle arc AB, the first tip circular-arc BC, the equidistant curve CD of the first cycloid, the first tooth root circular arc DE, the envelope EF of the first connection circular arc, the first connection circular arc FG, the second addendum circle arc GH, the second tip circular-arc HI, the second pendulum The equidistant curve IJ of line, the second tooth root circular arc JK, the envelope KL of the second connection circular arc, the second connection circular arc LA;Adjacent two sections All it is completely smooth between curve on connection, section molded line and rough tie point is not present;The first tooth top on the molded line of section Circular arc AB, the first tip circular-arc BC, the equidistant curve CD of the first cycloid, the second tooth root circular arc JK, the envelope of the second connection circular arc Line KL, second connection circular arc LA, respectively with the second addendum circle arc GH, the second tip circular-arc HI, the equidistant curve IJ of the second cycloid, First tooth root circular arc DE, the envelope EF of the first connection circular arc, the first connection circular arc FG are in center pair on centre of gyration point O Claim.
3. a kind of conical screw rotor of self-balancing as claimed in claim 1, it is characterized in that:In the course of the work, left-handed spiral shell Bar rotor (301) and right-hand screw rotor (302) can realize right-on engagement in synchronous incorgruous dual AC power motion; In any axial positions, the left-handed section molded line (201) of left-hand screw rotor (301) and the right side of right-hand screw rotor (302) Revolve section molded line (202) identical;The first addendum circle arc on the left-handed section molded line (201) of left-hand screw rotor (301) AB, the first tip circular-arc BC, the equidistant curve CD of the first cycloid, the second tooth root circular arc JK, second connection circular arc envelope KL, Second connection circular arc LA, respectively with the second tooth root circular arc jk on the dextrorotation section molded line (202) of right-hand screw rotor (302), The equidistant curve ij of second cycloid, the second tip circular-arc hi, the second addendum circle arc gh, the second connection circular arc fg, the second connection circle The envelope ef of arc can realize correct engagement.
4. a kind of conical screw rotor of self-balancing as claimed in claim 1, it is characterized in that:Left-hand screw rotor (301) by Left-handed section molded line (201) is deployed, right-hand screw rotor from suction end (I-I) to exhaust end (VII-VII) along left-handed twist (302) deployed by dextrorotation section molded line (202) from suction end (I-I) to exhaust end (VII-VII) along right-hand helix;Turned with screw rod The intersection point of plane is the origin of coordinates where the centre of gyration line and suction end of son, using centre of gyration line as z-axis, sets up three dimensions Coordinate system, helix equation is:
Left-handed twist:
Right-hand helix:
In formula:τ-spiral angle of spread, rad;R-helix base radius, mm;N-screw rod helical pitch number;P-screw rotor is led Journey;
While the section molded line of screw rotor deploys along helix, in any axial positions, the section type of screw rotor The addendum circle arc R of line1, fillet radius R3, addendum circle arc central angle alpha also change with spiral angle of spread τ change, its Rule is:
Addendum circle arc radius:
Fillet radius:
The central angle of addendum circle arc:
In formula:Rs1、Rd1- respectively in the addendum circle arc radius at suction end (I-I) and exhaust end (VII-VII) place;Rs3、Rd3- point Not Wei suction end (I-I) and exhaust end (VII-VII) place fillet radius;αs- the outside circle at suction end (I-I) place The central angle of arc.
5. a kind of conical screw rotor of self-balancing as claimed in claim 1, it is characterized in that:Left-hand screw rotor (301) Each curvilinear equation on left-handed section molded line (201) is as follows:
1. the first addendum circle arc AB equation is:
2. the first tip circular-arc BC equation is:
In formula:R-tip circular-arc radius;(xM,yMThe centre point M of)-tip circular-arc coordinate;
Determine the centre point M (x of tip circular-arcM,yM) coordinate, the following two equations of simultaneous first obtain intersection point:
By intersection point determined by above-mentioned equation, turned clockwise β angles around revolution central point O, obtain crown centre point M (xM, yM);Wherein
3. the equidistant curve CD of the first cycloid determination mode is:
First one section of curve is determined by following equations:
By curve determined by above-mentioned equation, turned clockwise β angles around revolution central point O, obtain the equidistant song of the first cycloid Line CD;
4. the second tooth root circular arc JK equation is:
5. the envelope KL of the second connection circular arc determination mode is:
First one section of curve is determined by following equations:
By initial curve determined by above-mentioned equation, turned clockwise α angles around revolution central point O, obtain the second connection circular arc Envelope KL, α is the central angle of addendum circle arc;
6. the second connection circular arc LA equation is:
In formula:Lp- the second connection circular arc LA centre point N is determined apart from centre of gyration point O length by below equation:
6. a kind of Twin-screw vacuum pump, it is characterized in that:Use the complete smooth twin-screw of self-balancing type taper as claimed in claim 1 Rotor.
7. a kind of double-screw compressor, it is characterized in that:Turned using the varying pitch conical screw of self-balancing as claimed in claim 1 Son.
8. a kind of twin-screw expander, it is characterized in that:Turned using the varying pitch conical screw of self-balancing as claimed in claim 1 Son.
CN201621334880.7U 2016-12-07 2016-12-07 A kind of conical screw rotor of self-balancing Withdrawn - After Issue CN206448946U (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
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Application Number Priority Date Filing Date Title
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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106438358A (en) * 2016-12-07 2017-02-22 中国石油大学(华东) Self-balancing conical screw rotor
CN111927775A (en) * 2020-06-24 2020-11-13 合肥工业大学 Method for reducing unbalance amount of screw rotor through stretching and thickening
CN112610474A (en) * 2020-12-22 2021-04-06 金迈思液压设备(天津)有限公司 Conical rotor double-screw pump with bilateral exhaust

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106438358A (en) * 2016-12-07 2017-02-22 中国石油大学(华东) Self-balancing conical screw rotor
CN106438358B (en) * 2016-12-07 2018-06-05 中国石油大学(华东) A kind of conical screw rotor of self-balancing
CN111927775A (en) * 2020-06-24 2020-11-13 合肥工业大学 Method for reducing unbalance amount of screw rotor through stretching and thickening
CN111927775B (en) * 2020-06-24 2022-02-15 合肥工业大学 Method for reducing unbalance amount of screw rotor through stretching and thickening
CN112610474A (en) * 2020-12-22 2021-04-06 金迈思液压设备(天津)有限公司 Conical rotor double-screw pump with bilateral exhaust

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Granted publication date: 20170829

Effective date of abandoning: 20180605