CN106438370B - A kind of varying pitch conical screw rotor of self-balancing - Google Patents
A kind of varying pitch conical screw rotor of self-balancing Download PDFInfo
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- CN106438370B CN106438370B CN201611115333.4A CN201611115333A CN106438370B CN 106438370 B CN106438370 B CN 106438370B CN 201611115333 A CN201611115333 A CN 201611115333A CN 106438370 B CN106438370 B CN 106438370B
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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
-
- 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
-
- 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
-
- 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
-
- 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
- F04C2250/201—Geometry of the rotor conical shape
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- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- General Engineering & Computer Science (AREA)
- Applications Or Details Of Rotary Compressors (AREA)
Abstract
The invention discloses a kind of varying pitch 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 R1With helical pitch (P1、P2、P3) be gradually reduced, fillet radius R3, addendum thickness (S1、S2、S3) and thickness at root of tooth (T1、T2、T3) gradually increase；In arbitrary axial positions, section molded line is variation, 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 made to have larger internal volume ratio, and improve the interstage seal performance of exhaust end and the intensity of rotor；In the arbitrary axial positions of screw rotor, for the centre of form of section molded line all on the centre of gyration line of screw rotor, the dynamic balance performance of screw rotor is good.
Description
Technical field
The present invention relates to Twin-screw vacuum pumps, the more particularly to varying pitch suitable for a kind of self-balancing of Twin-screw vacuum pump
Conical screw rotor.
Background technology
Twin-screw vacuum pump is a kind of positive-displacement vacuum pump, because of its pumping chamber dry type oil-free, is operated steadily the advantages of reliable,
It is widely used in petrochemical industry, food pharmaceutical, vacuum heat, nanometer manufacture, defense technology field；The core of Twin-screw vacuum pump
Heart parts are in the case where synchronizing incorgruous dual AC power movement, intermeshing two screw rotors；Screw rotor and its section type
The performance of line directly affects interstage seal performance, mechanical property and the final vacuum of screw vacuum pump.
Single head conical screw rotor disclosed in patent CN101351646, suction end outer diameter is big, and exhaust end outer diameter is small, work
When working chamber volume be gradually reduced, there are interior compression processes；The transverse tooth thickness changing rule of the screw rotor is：Close to the tooth of suction end
Top thickness degree is larger, occupies a part of aspirated volume, influences rate of air sucked in required, higher close to exhaust end gas pressure, but addendum thickness
It is smaller, it can not effectively stop and leak between the grade that high pressure gas passes through crest top land；The screw rotor simultaneously, the axial cross section centre of form is not
On the centre of gyration line of screw rotor, being also easy to produce eccentric force influences normal engagement.
Invention content
In order to solve the screw rotor in above-mentioned document, there are eccentric force, section molded line, there are cusp, suction end tooth top are thick
It spends between larger occupancy aspirated volume, the smaller grade for passing the gas through crest top land of exhaust end addendum thickness and leaks the problem of larger, be
The type of abundant screw rotor, the present invention propose a kind of varying pitch conical screw rotor of self-balancing；Screw rotor is tapered,
From suction end (I-I) to exhaust end (VII-VII), the helical pitch (P of screw rotor1、P2、P3) be gradually reduced, addendum thickness (S1、S2、
S3) and thickness at root of tooth (T1、T2、T3) gradually increase, it thus can further increase air-breathing appearance of the screw rotor in suction end (I-I)
Product, effective stop screw rod rotor are let out between two operated adjacent chambers at exhaust end (VII-VII) between the grade that gas passes through crest top land
Leakage, while increase intensity of the screw rotor at exhaust end (VII-VII), Reducing distortion；Section type used by screw rotor
Line is completely smooth and can realize correct engagement, eliminates the harmful effect of rough tie point, improves screw rotor
Force-bearing situation；The screw rotor proposed is S-shaped in arbitrary axial positions, section molded line, and the centre of form of section molded line is all
On the centre of gyration line of screw rotor, make screw rotor that there is good dynamic balance performance；The screw rotor proposed, can
Increase suction end working chamber volume, reduce the working chamber volume of exhaust end, increase the interior volume specific ratio in the course of work, improve double
The pumping speed and final vacuum of screw vacuum pump.
To achieve these goals, the present invention adopts the following technical scheme that：
A kind of varying pitch conical screw rotor of self-balancing proposed by the present invention, from suction end (I-I) to exhaust end (VII-
VII), screw rotor is tapered, and screw rotor is complete smooth, and there is no rough places；From suction end (I-I) to exhaust end
(VII-VII), the helical pitch (P of screw rotor1、P2、P3) be gradually reduced, addendum thickness (S1、S2、S3) and thickness at root of tooth (T1、T2、T3)
Gradually increase；It is S-shaped, and the centre of form of section molded line is in screw rotor in the section molded line of the screw rotor of arbitrary axial positions
Centre of gyration line on.
A kind of varying pitch conical screw rotor of self-balancing, in arbitrary axial positions, the section molded line of screw rotor is all
It differs, is variation, but the type of each section of constituent curve is identical with quantity on the molded line of section, totally 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, first connect circular arc
Envelope 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
Two tooth root circular arc JK, the envelope KL of the second connection circular arc, the second connection circular arc LA；All it is complete light between adjacent two sections of curves
Slip, rough tie point is not present on the molded line of section；The first addendum circle arc AB, the first tip circular-arc on the molded line of section
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 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 about centre of gyration point O.
A kind of varying pitch conical screw rotor of self-balancing, during the work time, left-hand screw rotor (301) and dextrorotation spiral shell
Bar rotor (302) can realize right-on engagement in incorgruous dual AC power movement is synchronized；It is left in arbitrary axial positions
The left-handed section molded line (201) of rotation screw rotor (301) and the dextrorotation section molded line (202) of right-hand screw rotor (302) are complete
Identical, only phase is different；The first addendum circle arc AB, the first tip circular-arc BC, the first cycloid in left-handed section molded line (201)
Equidistant curve CD, the first tooth root circular arc DE, first connection circular arc envelope EF, first connection circular arc FG, respectively with dextrorotation
Equidistant curve ij, the second tip circular-arc hi, the second tooth top of the second tooth root circular arc jk, the second cycloid in section molded line (202)
Circular arc gh, the first connection circular arc fg, the first envelope ef for connecting circular arc can realize correct engagement.
A kind of varying pitch conical screw rotor of self-balancing, left-hand screw rotor (301) by left-handed section molded line (201) from
Suction end (I-I) is unfolded to exhaust end (VII-VII) along left-handed Method of Variable Pitch Screw, and right-hand screw rotor (302) is by dextrorotation section
Molded line (202) is unfolded from suction end (I-I) to exhaust end (VII-VII) along dextrorotation Method of Variable Pitch Screw, with the revolution of screw rotor
Center line and the intersection point of plane where suction end are coordinate origin, using centre of gyration line as z-axis, establish three-dimensional coordinate system,
Helix equation is：
Left-handed Method of Variable Pitch Screw：
Dextrorotation Method of Variable Pitch Screw：
In formula：τ-spiral the angle of spread, rad；R-helix base radius, mm；N-screw rod helical pitch number；k1、k2- change spiral shell
It is related with specific screw pitch changing rule away from parameter；X (τ), y (τ), z (τ)-Method of Variable Pitch Screw are in three reference axis
Projection；
While the section molded line of screw rotor is unfolded along helix, in arbitrary axial positions, screw rotor is cut
The addendum circle arc radius R of face molded line1, fillet radius R3, addendum circle arc central angle alpha also with the variation of spiral angle of spread τ and
Variation, rule are：
Addendum circle arc radius：
Fillet radius：
The central angle of addendum circle arc：
In formula：Rs1、Rd1- addendum circle arc the radius respectively at suction end (I-I) and exhaust end (VII-VII)；Rs3、
Rd3- the fillet radius respectively at suction end (I-I) and exhaust end (VII-VII)；αs、αd- it is respectively in suction end
(I-I) central angle of the addendum circle arc and at exhaust end (VII-VII)；Z (τ)-coordinate value；
The varying pitch conical screw rotor of a kind of self-balancing, on the left-handed section molded line (201) of left-hand screw rotor (301)
Each composition curvilinear equation it is as follows：
1. the equation of the first addendum circle arc AB is：
2. the equation of the first tip circular-arc BC is：
In formula：R-tip circular-arc radius；(xM,yMThe coordinate of the centre point M of)-tip circular-arc；
Determine the centre point M (x of tip circular-arcM,yM) coordinate, intersection point is obtained in the following two equations of simultaneous first：
By intersection point determined by above-mentioned two equation, β angles are rotated clockwise around revolution central point O, the crown center of circle can be obtained
Point M (xM,yM)；Wherein
3. the method for determination of the equidistant curve CD of the first cycloid is：
First one section of curve is determined by following equations：
By curve determined by above-mentioned equation, β angles are rotated clockwise around revolution central point O, can obtain the first cycloid etc.
Away from curve CD；
4. the second tooth root circular arc JK equations are：
5. the method for determination of the envelope KL of the second connection circular arc is：
First one section of curve is determined by following equations：
By initial curve determined by above-mentioned equation, α angles are rotated clockwise 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 equation of the second connection circular arc LA is：
In formula：LpLength of the centre point N of-the second connection circular arc LA apart from centre of gyration point O, is determined by the following formula：
Beneficial effects of the present invention are：
1. a kind of varying pitch conical screw rotor of the self-balancing proposed, screw rotor is tapered, tooth on the molded line of section
Tip circle arc radius R1It is gradually reduced, fillet radius R3Gradually increase, from the suction end (I-I) of screw rotor to exhaust end
(VII-VII), the helical pitch (P of screw rotor1、P2、P3) be gradually reduced, it can fully increase the working chamber volume of suction end, reduce exhaust
The working chamber volume at end makes rotor have larger internal volume ratio, improves the pumping speed of Twin-screw vacuum pump；
2. from the suction end (I-I) of screw rotor to exhaust end (VII-VII), addendum thickness (S1、S2、S3) and thickness at root of tooth
(T1、T2、T3) gradually increase, it can further increase suction end working chamber volume, effectively blocking passes through close to gas at exhaust end
It is leaked between the grade of crest top land, and ensures the intensity of screw rotor exhaust end, reduce deformation during work；
3. the section molded line of screw rotor connects the equidistant curve and addendum circle arc of cycloid, spiral shell using one section of tip circular-arc
Bar rotor is complete smooth and can realize correctly engagement, while eliminate the region of stress concentration of rough tie point, improves spiral shell
The force-bearing situation of bar rotor, and prevent cusp from leaking aggravation caused by wearing；
4. in arbitrary 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.
Description of the drawings
Fig. 1 is the section molded lines of the varying pitch 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 varying pitch conical screw rotor figure of self-balancing.
The engagement figure of the varying pitch conical screw rotor of two self-balancings when Fig. 4 is work.
Fig. 5 is the section molded line engagement figure in arbitrary 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
Length relation be：2R2=R1+R3；The central angle of α-addendum circle arc；The centre point M of β-tip circular-arc relative to x-axis phase
Parallactic angle；S1、S2、S3The addendum thickness of-screw rotor；T1、T2、T3The thickness at root of tooth of-screw rotor；P1、P2、P3- screw rod turns
The helical pitch of son；301-left-hand screw rotor；302-right-hand screw rotor；The left-handed section molded line of 201-left-hand screw rotor；
The dextrorotation section molded line of 202-right-hand screw rotor；The centre of gyration of point O, o-respectively two screw rotor section molded line
Point, the axis at place are respectively the centre of gyration line of two screw rotors.
Specific 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 varying pitch conical screw rotor for self-balancing；The section molded line of screw rotor
Refer to：With a plane perpendicular to screw rotor centre of gyration line, screw rotor, section part are blocked from arbitrary axial positions
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, 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 circular arc, first
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 second connection circular arc, the second connection circular arc LA；It is smoothly connected between adjacent curve, the section of entire screw rotor
Rough tie point is not present on molded line；Whole cross section molded line is S-shaped and central symmetry, the first addendum circle arc on the molded line of section
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 circular arc, the first connection circular arc FG are centrosymmetric about 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 only 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
Meet circular arc FG, respectively in dextrorotation section molded line (202) the second tooth root circular arc jk, the equidistant curve ij of the second cycloid, second
Tip circular-arc hi, the second addendum circle arc gh, the first connection circular arc fg, the first envelope ef for connecting circular arc can be realized correctly
Engagement.
As shown in figure 3, the varying pitch conical screw rotor figure for self-balancing；I-I and VII-VII represents that screw rod turns respectively in figure
Sub- suction end and the corresponding axial position of exhaust end；Left-hand screw rotor (301) is by left-handed section molded line (201) from suction end
(I-I) it is unfolded to exhaust end (VII-VII) along left-handed Method of Variable Pitch Screw, right-hand screw rotor (302) is by dextrorotation section molded line
(202) it is unfolded from suction end (I-I) to exhaust end (VII-VII) along dextrorotation Method of Variable Pitch Screw；Because the spiral shell of Method of Variable Pitch Screw
Away from being gradually reduced from suction end (I-I) to exhaust end (VII-VII), so the helical pitch (P of the screw rotor of generation1、P2、P3) also by
It is decrescence small, i.e. P1>P2>P3；In section molded line along helix be unfolded while, the addendum circle arc radius R on the molded line of section1Gradually
Reduce, fillet radius R3Gradually increase, the global shape for making screw rotor are tapered；The left-handed regulation with dextrorotation of helix
For：Exhaust extreme direction is directed toward by suction end with left hand thumb, the directions for moving point along remaining four finger on helix rise as left-handed；
Exhaust extreme direction is directed toward by suction end with hand thumb, it is dextrorotation that point is moved on helix along remaining four direction referred to rise.
As shown in figure 4, during for work the varying pitch conical screw rotor of two self-balancings engagement figure；From suction end (I-
I) to exhaust end (VII-VII), the addendum thickness (S of screw rotor1、S2、S3) and thickness at root of tooth (T1、T2、T3) gradually increase, i.e. S1
<S2<S3、T1<T2<T3；During generation screw rotor is unfolded along helix in section molded line, the value of spiral angle of spread τ takes 0,π,2 π,During 3 π, corresponding axial position respectively with I-I, II-II, III-III, IV-IV, V-V, VI-VI,
VII-VII represents.
As shown in figure 5, for the section molded line engagement figure in arbitrary two screw rotors of axial positions；Fig. 5 (a), (b),
(c), (d), (e), (f), (g) are corresponded in axial position 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 profile in arbitrary 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
Diameter R1It is gradually reduced, fillet radius R3Gradually increase, the central angle alpha of addendum circle arc gradually increase；Two phases thus generated
Mutually at a fully engaged screw rotor, by suction end (I-I) to exhaust end (VII-VII), working chamber volume is gradually reduced, and turns screw rod
There are interior compression processes for son.
Above-mentioned, although the foregoing specific embodiments of the present invention is described with reference to the accompanying drawings, not protects model to the present invention
The limitation enclosed, those skilled in the art should understand that, based on the technical solutions of the present invention, those skilled in the art are not
Need to make the creative labor the various modifications or changes that can be made still within protection scope of the present invention.
Claims (8)
1. a kind of varying pitch 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 rotor1With helical pitch (P1、P2、P3) be gradually reduced, fillet radius R3、
Addendum thickness (S1、S2、S3) and thickness at root of tooth (T1、T2、T3) gradually increase；Screw rotor is complete smooth, and there is no rough
Place；In arbitrary axial positions, the section molded line of screw rotor is S-shaped, and the centre of form of section molded line is all in time of screw rotor
Turn on center line.
2. a kind of varying pitch conical screw rotor of self-balancing as described in claim 1, it is characterized in that：In arbitrary axial position
Place, the section molded line of screw rotor is different from, and is variation, but on the molded line of section each section of constituent curve type and quantity phase
Together, totally 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 equidistant curve IJ of second cycloid, the second tooth root circular arc JK, the envelope KL of the second connection circular arc, the second connection circular arc LA；Phase
Connection is all completely smooth between adjacent two sections of curves, rough tie point is not present on the molded line of section；On the molded line of section
One addendum circle arc AB, the first tip circular-arc BC, the equidistant curve CD of the first cycloid, the second tooth root circular arc JK, the 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 second cycloid it is equidistant
Curve IJ, the first tooth root circular arc DE, the envelope EF of the first circular arc, the first connection circular arc FG are in center about centre of gyration point O
Symmetrically.
3. a kind of varying pitch conical screw rotor of self-balancing as described in claim 1, it is characterized in that：During the work time,
Left-hand screw rotor (301) in synchronous incorgruous dual AC power movement, can be realized right-on with right-hand screw rotor (302)
Engagement；In arbitrary axial positions, the left-handed section molded line (201) of left-hand screw rotor (301) and right-hand screw rotor (302)
Dextrorotation section molded line (202) it is identical, only 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, the
One connection circular arc FG, respectively in dextrorotation section molded line (202) the second tooth root circular arc jk, the equidistant curve ij of the second cycloid,
Second tip circular-arc hi, the second addendum circle arc gh, the first connection circular arc fg, the first envelope ef for connecting circular arc can be realized just
True engagement.
4. a kind of varying pitch conical screw rotor of self-balancing as described in claim 1, it is characterized in that：Left-hand screw rotor
(301) it is unfolded by left-handed section molded line (201) from suction end (I-I) to exhaust end (VII-VII) along left-handed Method of Variable Pitch Screw, it is right
Screw rotor (302) is revolved by dextrorotation section molded line (202) from suction end (I-I) to exhaust end (VII-VII) along dextrorotation varying pitch spiral shell
Spin line is unfolded；Using the intersection point of plane where the centre of gyration line of screw rotor and suction end as coordinate origin, with centre of gyration line
For z-axis, three-dimensional coordinate system is established, helix equation is：
Left-handed Method of Variable Pitch Screw：
Dextrorotation Method of Variable Pitch Screw：
In formula：τ-spiral the angle of spread, rad；R-helix base radius, mm；N-screw rod helical pitch number；k1、k2- varying pitch is joined
Number, it is related with specific screw pitch changing rule；X (τ), y (τ), z (τ)-coordinate value；
While the section molded line of screw rotor is unfolded along helix, in arbitrary axial positions, the section type of screw rotor
The addendum circle arc radius R of line1, fillet radius R3, addendum circle arc central angle alpha also become with the variation of spiral angle of spread τ
Change, rule is：
Addendum circle arc radius：
Fillet radius：
The central angle of addendum circle arc：
In formula：Rs1、Rd1- addendum circle arc the radius respectively at suction end (I-I) and exhaust end (VII-VII)；Rs3、Rd3- point
It Wei not be in the fillet radius at suction end (I-I) and exhaust end (VII-VII)；αs、αd- be respectively in suction end (I-I) and
The central angle of addendum circle arc at exhaust end (VII-VII)；Z (τ)-coordinate value of the Method of Variable Pitch Screw in z-axis.
5. a kind of varying pitch conical screw rotor of self-balancing as described in claim 1, it is characterized in that：In arbitrary axial position
Place, the method for determination of the left-handed upper each section of curve of section molded line (201) of left-hand screw rotor (301) are as follows：
1. the equation of the first addendum circle arc AB is：
2. the equation of the first tip circular-arc BC is：
In formula：R-tip circular-arc radius；(xM,yMThe coordinate of the centre point M of)-tip circular-arc；
Determine the centre point M (x of tip circular-arcM,yM) coordinate, intersection point is obtained in the following two equations of simultaneous first：
By intersection point determined by above-mentioned equation, β angles are rotated clockwise around revolution central point O, crown centre point M (x can be obtainedM,
yM)；Wherein
3. the method for determination of the equidistant curve CD of the first cycloid is：
First one section of curve is determined by following equations：
By curve determined by above-mentioned equation, β angles are rotated clockwise around revolution central point O, the equidistant song of the first cycloid can be obtained
Line CD；
4. the second tooth root circular arc JK equations are：
5. the method for determination of the envelope KL of the second connection circular arc is：
First one section of curve is determined by following equations：
By initial curve determined by above-mentioned equation, α angles are rotated clockwise around revolution central point O, the second connection circular arc can be obtained
Envelope KL, α is the central angle of addendum circle arc；
6. the equation of the second connection circular arc LA is：
In formula：LpLength of the centre point N of-the second connection circular arc LA apart from centre of gyration point O, is determined by the following formula：
6. a kind of Twin-screw vacuum pump, it is characterized in that：Turned using the varying pitch conical screw of self-balancing as described in claim 1
Son.
7. a kind of double-screw compressor, it is characterized in that：Turned using the varying pitch conical screw of self-balancing as described 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 described in claim 1
Son.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN109356659B (en) * | 2018-12-25 | 2024-01-02 | 中国石油大学(华东) | Conical screw rotor of double-screw expander |
| CN109458226B (en) * | 2018-12-25 | 2024-08-09 | 中国石油大学(华东) | Variable cross-section screw rotor of double-screw expander |
| CN110821835B (en) * | 2019-12-24 | 2024-08-16 | 中国石油大学(华东) | Conical screw rotor of double-screw vacuum pump |
| 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 |
| CN113153742B (en) * | 2021-02-24 | 2022-07-12 | 西安交通大学 | Variable-line double-screw rotor and design method thereof |
| CN113757121B (en) * | 2021-07-12 | 2022-05-20 | 西安交通大学 | Space internal meshing conical double-screw compressor rotor driven by intersecting shafts and compressor |
| CN113530819B (en) * | 2021-08-19 | 2023-02-21 | 爱景节能科技（上海）有限公司 | Variable-line double-screw rotor structure |
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