CN107023480A - A kind of complete smooth twin-screw liquid pump screw rotor - Google Patents
A kind of complete smooth twin-screw liquid pump screw rotor Download PDFInfo
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- CN107023480A CN107023480A CN201710332535.2A CN201710332535A CN107023480A CN 107023480 A CN107023480 A CN 107023480A CN 201710332535 A CN201710332535 A CN 201710332535A CN 107023480 A CN107023480 A CN 107023480A
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- equal space
- line
- circular arc
- circle
- screw rotor
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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
- F04C2/00—Rotary-piston machines or pumps
- F04C2/08—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing
- F04C2/082—Details specially related to intermeshing engagement type machines or pumps
- F04C2/084—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
- F04C2/00—Rotary-piston machines or pumps
- F04C2/08—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing
- F04C2/12—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type
- F04C2/14—Rotary-piston machines or pumps 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
- F04C2/16—Rotary-piston machines or pumps 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
- F04C2240/00—Components
- F04C2240/20—Rotors
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- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- General Engineering & Computer Science (AREA)
- Rotary Pumps (AREA)
Abstract
The invention discloses a kind of complete smooth twin-screw liquid pump screw rotor, its left side molded line (501) includes 6 sections of circular arcs, 2 sections of long epicycloidal equal space lines and 2 sections of epicycloidal equal space lines;It is followed successively by counterclockwise:Tooth root circular arc LAB, the equal space line BC of prolate epicycloid, First Transition circular arc C D, epicycloidal equal space line DE, the first circular arc EF, addendum circle arc FGH, the second circular arc HI, the second epicycloidal equal space line IJ, the second transition arc JK, the equal space line KL of the second prolate epicycloid;In described left side molded line (501), it is smoothly connected between its adjacent curve, in the absence of rough tie point, forms complete smooth profile;Left side molded line (501) is identical with right side molded line (502), and it can realize correct engagement in synchronous incorgruous dual AC power motion;Obtain complete smooth screw rotor.
Description
Technical field
The present invention relates to twin-screw liquid pump, more particularly to a kind of complete smooth twin-screw suitable for twin-screw liquid pump
Liquid pump screw rotor.
Background technology
Twin-screw liquid pump is a kind of proof positive displacement liquid pump, is formed by two intermeshing screw rotors in the pump housing
Multiple closing chambers, act synchronous different by the band of synchromesh gear and are moved to dual AC power, annular seal space continuously shifts to row from suction inlet
Outlet, realizes the conveying of liquid.Its core component is a pair of intermeshing screw rotors, the design of screw rotor end face molded line
Directly influence the performance of pump.Conventional twin-screw liquid pump profile is by the envelope of circular arc-circular arc and point gearing pendulum
Line is constituted;There are four rough tie points in this screw rotor end face molded line, screw rotor easily weares and teares, reduce pump
Service life, the leakage rate of pump can be increased in the course of work, so as to reduce the capacity utilization of twin-screw liquid pump.
The content of the invention
The present invention is in order to solve the above problems, while in order to enrich twin-screw liquid pump screw rotor end face molded line type,
Propose a kind of complete smooth twin-screw liquid pump screw rotor.The present invention uses the engagement system of the equal space line of circular arc and cycloid
Instead of the engagement system of conventional point and cycloid so that realize and be smoothly connected between each curved section in profile, without not only
Slip point;And then obtain complete smooth screw rotor.In the course of work, screw rotor end face molded line is in synchronous incorgruous dual AC power
It can realize that the engagement between correct engagement, profile is changed into line engagement from original point gearing under motion, and then screw rod turns
Engagement between son is changed into face engagement from original line engagement;The wearability and sealing property of screw rotor are improved, spiral shell is improved
The service life of bar rotor;The enclosed volume formed in screw rotor engagement process is also reduced simultaneously, improves twin-screw
The performance of liquid pump;To enrich twin-screw liquid pump screw rotor end face molded line type and improve its service behaviour have it is important
Meaning.
To achieve these goals, the present invention is adopted the following technical scheme that:
A kind of complete smooth twin-screw liquid pump screw rotor, including left screw rotor (701) and right screw rotor
(702);The left side molded line (501) of left screw rotor (701) includes 6 sections of circular arcs, 2 sections of long epicycloidal equal space lines and 2 sections
Epicycloidal equal space line;The left side molded line (501) of left screw rotor (701) is followed successively by counterclockwise:Tooth root circular arc
LAB, the equal space line BC of prolate epicycloid, First Transition circular arc C D, epicycloidal equal space line DE, the first circular arc EF, addendum circle arc
FGH, the second circular arc HI, the second epicycloidal equal space line IJ, the second transition arc JK, the equal space line KL of the second prolate epicycloid;
In described left side molded line (501), it is smoothly connected between its adjacent curve, in the absence of rough tie point, forms complete smooth
Profile;Described left side molded line (501) is symmetrical on y-axis;Using the first circular arc EF, epicycloidal equal space line DE,
First Transition circular arc C D, the equal space line BC of prolate epicycloid and the second circular arc HI, the second epicycloidal equal space line IJ, the second transition
Addendum circle arc FGH and tooth root circular arc LAB are smoothly connected by circular arc JK, the second prolate epicycloid equal space line KL, eight sections of curves.
A kind of complete smooth twin-screw liquid pump screw rotor, the left side molded line (501) of left screw rotor (701) and the right side
The right side molded line (502) of screw rotor (702) is identical;Left side molded line (501) and right side molded line (502) are in synchronization
Tooth root circular arc LAB in correct engagement, left side molded line (501), prolate epicycloid can be realized in the motion of incorgruous dual AC power
Equal space line BC, First Transition circular arc C D, epicycloidal equal space line DE, the first circular arc EF, addendum circle arc FGH, the second circular arc HI,
Two epicycloidal equal space line IJ, the second transition arc JK, the equal space line KL of the second prolate epicycloid, respectively with right side molded line
Addendum circle arc fgh, the first circular arc ef, epicycloidal equal space line de, First Transition circular arc cd, prolate cycloid in (502) etc.
Away from line bc, tooth root circular arc lab, the equal space line kl of the second prolate epicycloid, the second transition arc jk, the second epicycloidal equal space line
Ij, the second circular arc ih correct engagements
A kind of complete smooth twin-screw liquid pump screw rotor, the left side molded line (501) of its left screw rotor (701) is raw
It is as follows into method:
1. 5 sections of curves, respectively root circle (1), outside circle (2), pitch circle (3), prolate epicycloid are generated by below equation
(4) and epicycloid (5), each section of curvilinear equation is as follows:
The equation of root circle (1) is:
The equation of outside circle (2) is:
The equation of pitch circle (3) is:
The equation of prolate epicycloid (4) is:
The equation of epicycloid (5) is:
More than:T-it is angle parameter, rad;R2- it is pitch radius, mm;R1- it is radius of addendum, mm;R3- it is tooth
Root radius, mm;And 2R2=R1+R3;r1- circle (7) radius;r2- transition circle (9) radius;
2. by epicycloid (5) pair-wise offset r laterally2Epicycloidal equal space line (6) is obtained, by epicycloidal equal space line
(6) pair-wise offset r laterally1, and with O2It is the center of circle with R1-r1Intersect for the circle of radius, intersection as center makees radius for r1
Circle (7), circle (7) and outside circle (2) it is tangent, point of contact is F, and tangent with epicycloidal equal space line (6), point of contact is E, obtains first
Circular arc EF and epicycloidal equal space line DE;
3. by prolate epicycloid (4) pair-wise offset r laterally1The equal space line (8) of prolate epicycloid is obtained, with O2For the center of circle
With R1-r2Intersect for the circle of radius with x-axis, intersection as center makees radius for r2Transition circle (9), by prolate epicycloid etc.
Away from line (8) rotation alpha angle, the equal space line (8) for obtaining transition circle (9) and prolate epicycloid is tangent, and point of contact is C, transition circle (9) with it is outer
The equal space line (6) of cycloid is tangent, and point of contact is D, obtains the equal space line BC of First Transition circular arc C D and prolate epicycloid;
Wherein, the anglec of rotation(xw, yw) be following bar curve intersection point;
It is the center of circle with R using O1-r1For the circle of radius:x2+y2=(R1-r1)2
Epicycloidal equal space line (6) pair-wise offset r laterally1The curve obtained afterwards, its equation is as follows:
4. by the equal space line BC of prolate epicycloid obtained above, First Transition circular arc C D, epicycloidal equal space line DE and
First circular arc EF symmetrically obtains the equidistant curve KL, the second transition arc JK, the second outer pendulum of the second prolate epicycloid on y-axis
The equidistant curve IJ of line and the second circular arc HI.
A kind of complete smooth twin-screw liquid pump screw rotor, left screw rotor (701) is by left side molded line (501) along a left side
Helix makees axial screw expansion generation;Right screw rotor (702) makees axial screw by right side molded line (502) along right-hand helix
Expansion generation;It can realize and all be smoothly connected between helical tooth flank on left screw rotor (701) and right screw rotor (702),
Form complete smooth twin-screw liquid pump screw rotor;
Right-hand helix equation is:
Left-hand screw line equation is:
More than:R-helix radius, mm;P-screw rotor pitch, mm;τ-spiral angle of spread, rad;N-pitch
Number.
A kind of complete smooth twin-screw liquid pump screw rotor, by the left side molded line (501) of left screw rotor (701)
The corresponding central angle β of addendum circle arc FGH be changed to 90-2 α, the corresponding central angles of tooth root circular arc LAB are also changed to 90-2 α, obtain double
Tooth screw rotor side profile (401), side profile (401) is uniformly distributed on pitch-line by 180 °, just
Obtain complete bidentate screw rotor end face molded line (402).
A kind of twin-screw liquid pump, uses a kind of above-mentioned complete smooth twin-screw liquid pump screw rotor.
A kind of twin-screw liquid pump, uses a kind of complete smooth twin-screw liquid pump screw rotor of above-mentioned bidentate.
A kind of complete smooth twin-screw liquid pump screw rotor tool advantages below proposed:
1. using circular arc and cycloid equal space line engagement system, realize in profile smooth company between each curved section
Connect, improve the mechanical characteristic of screw rotor, improve the wear-resisting and service life of screw rotor;
2. in the course of work, the engagement between screw rotor is changed into face engagement from original line engagement;Screw rod is improved to turn
The wearability and sealing property of son, improve the service life of screw rotor;
3. the enclosed volume formed in screw rotor engagement process is reduced, the performance of twin-screw liquid pump is improved;
4. twin-screw liquid pump screw rotor end face molded line type is enriched.
Brief description of the drawings
Fig. 1 is the screw rotor end face molded lines for the twin-screw liquid pump commonly used.
Fig. 2 is complete smooth twin-screw liquid pump screw rotor left side molded line (501) figure.
Fig. 3 is the generation figure of complete smooth twin-screw liquid pump screw rotor left side molded line (501).
Fig. 4 is a kind of generation figure of the complete smooth twin-screw liquid pump screw rotor end face molded line of bidentate.
Fig. 5 is the engagement figure of 2 complete smooth profiles.
Fig. 6 is engagement figure of 2 complete smooth profiles at out of phase.
Fig. 7 is the engagement figure of 2 complete smooth twin-screw liquid pump screw rotors.
In figure:R2- it is pitch radius;R1- it is radius of addendum;R3- it is root radius;r1- circle (7) radius;
r2- transition circle (9) radius;401-bidentate screw rotor side profile;402-bidentate screw rotor end face molded line;
501-left side molded line;502-right side molded line;701-left screw rotor;702-right screw rotor;1-root circle;2—
Outside circle;3-pitch circle;4-prolate epicycloid;5-epicycloid;6-epicycloidal equal space line;7-circle;8-prolate epicycloid
Equal space line;9-transition circle;α-the anglec of rotation.
Embodiment:
The invention will be further described with embodiment below in conjunction with the accompanying drawings.
As shown in figure 1, being the screw rotor end face molded lines of conventional twin-screw liquid pump, by tooth root circular arc AB, long width
Epicycloid BC, epicycloid CD, addendum circle arc DE, epicycloid EF, prolate epicycloid FA compositions;In prolate epicycloid BC, FA difference
Have two rough tie points with epicycloid CD, EF junctions, and epicycloid CD and EF when being connected with addendum circle arc DE there is also
Two rough tie points;Due to the presence of rough tie point, screw rotor end face molded line is rough, reduces screw rotor
Wearability and stress performance.
As shown in Fig. 2 being complete smooth twin-screw liquid pump screw rotor left side molded line (501) figure, left side molded line
(501) 6 sections of circular arcs, 2 sections of long epicycloidal equal space lines and 2 sections of epicycloidal equal space lines are included;Left side molded line (501) is by inverse
Clockwise is followed successively by:Tooth root circular arc LAB, the equal space line BC of prolate epicycloid, First Transition circular arc C D, epicycloidal equal space line
DE, the first circular arc EF, addendum circle arc FGH, the second circular arc HI, the second epicycloidal equal space line IJ, the second transition arc JK, second
The equal space line KL of prolate epicycloid;In described left side molded line (501), it is smoothly connected between its adjacent curve, in the absence of not
It is smoothly connected a little, forms complete smooth profile;Described left side molded line (501) is symmetrical on y-axis;Using the first circular arc
EF, epicycloidal equal space line DE, First Transition circular arc C D, the equal space line BC of prolate epicycloid and the second circular arc HI, the second outer pendulum
The equal space line IJ of line, the second transition arc JK, the equal space line KL of the second prolate epicycloid, eight sections of curves by addendum circle arc FGH and
Tooth root circular arc LAB is smoothly connected.It can be seen that the complete smooth twin-screw liquid pump screw rotor end face molded line proposed, realizes each song
Being smoothly connected between line segment, eliminates rough tie point;The wearability of screw rotor is improved, the stress of screw rotor is improved
Characteristic, improves the service life of screw rotor.
As shown in figure 3, being the generation figure of complete smooth twin-screw liquid pump screw rotor left side molded line (501), it is given birth to
It is as follows into method:
1. 5 sections of curves, respectively root circle (1), outside circle (2), pitch circle (3), prolate epicycloid are generated by below equation
(4) and epicycloid (5), each section of curvilinear equation is as follows:
The equation of root circle (1) is:
The equation of outside circle (2) is:
The equation of pitch circle (3) is:
The equation of prolate epicycloid (4) is:
The equation of epicycloid (5) is:
More than:T-it is angle parameter, rad;R2- it is pitch radius, mm;R1- it is radius of addendum, mm;R3- it is tooth
Root radius, mm;And 2R2=R1+R3;r1- circle (7) radius;r2- transition circle (9) radius;
2. by epicycloid (5) pair-wise offset r laterally2Epicycloidal equal space line (6) is obtained, by epicycloidal equal space line
(6) pair-wise offset r laterally1, and with O2It is the center of circle with R1-r1Intersect for the circle of radius, intersection as center makees radius for r1
Circle (7), circle (7) and outside circle (2) it is tangent, point of contact is F, and tangent with epicycloidal equal space line (6), point of contact is E, obtains first
Circular arc EF and epicycloidal equal space line DE;
3. by prolate epicycloid (4) pair-wise offset r laterally1The equal space line (8) of prolate epicycloid is obtained, with O2For the center of circle
With R1-r2Intersect for the circle of radius with x-axis, intersection as center makees radius for r2Transition circle (9), by prolate epicycloid etc.
Away from line (8) rotation alpha angle, the equal space line (8) for obtaining transition circle (9) and prolate epicycloid is tangent, and point of contact is C, transition circle (9) with it is outer
The equal space line (6) of cycloid is tangent, and point of contact is D, obtains the equal space line BC of First Transition circular arc C D and prolate epicycloid;
Wherein, the anglec of rotation(xw, yw) be following bar curve intersection point:
It is the center of circle with R using O1-r1For the circle of radius:x2+y2=(R1-r1)2
Epicycloidal equal space line (6) pair-wise offset r laterally1The curve obtained afterwards, its equation is as follows:
4. by the equal space line BC of prolate epicycloid obtained above, First Transition circular arc C D, epicycloidal equal space line DE and
First circular arc EF symmetrically obtains the equidistant curve KL, the second transition arc JK, the second outer pendulum of the second prolate epicycloid on y-axis
The equidistant curve IJ of line and the second circular arc HI.
As shown in figure 4, being a kind of generation figure of the complete smooth twin-screw liquid pump screw rotor end face molded line of bidentate, it is given birth to
It is that on the basis of left side molded line (501) generation, the corresponding central angle β of addendum circle arc FGH are changed to 90-2 α, tooth into method
The corresponding central angles of root circular arc LAB are also changed to 90-2 α, obtain bidentate screw rotor side profile (401), and bidentate screw rod turns
Sub- side profile (401) is uniformly distributed on pitch-line by 180 °, just obtains complete bidentate screw rotor end face
Molded line (402).
As shown in figure 5, for the engagement figure of 2 complete smooth profiles, intermeshing left side molded line (501) and the right side
Profile (502) is identical;In the course of work, tooth root circular arc LAB's, prolate epicycloid in left side molded line (501)
Equal space line BC, First Transition circular arc C D, epicycloidal equal space line DE, the first circular arc EF, addendum circle arc FGH, the second circular arc HI,
Two epicycloidal equal space line IJ, the second transition arc JK, the equal space line KL of the second prolate epicycloid, respectively with right side molded line
Addendum circle arc fgh, the first circular arc ef, epicycloidal equal space line de, First Transition circular arc cd, prolate cycloid in (502) etc.
Away from line bc, tooth root circular arc lab, the equal space line kl of the second prolate epicycloid, two transition arc jk, the second epicycloidal equal space line
Ij, the second circular arc ih, can realize the correct engagement between curved section.
As shown in fig. 6, each phase in the engagement figure for 2 complete smooth profiles at out of phase, (a)~(e) figures
4 ° of carrier phase shift between adjacent figure, wherein (a) figure screw rotor end face molded line and the positive angle of x-axis are 10 °, i.e., by left end
Face molded line (501) is turned clockwise 14 °, and 14 ° of right side molded line (502) rotate counterclockwise is obtained;(e) it is~(g) each adjacent in figure
8 ° of carrier phase shift between figure;(g)~(h) 10 ° of carrier phase shift between figure;In (a)~(g) figures, left side molded line (501)
In First Transition circular arc C D and right side molded line (502) in epicycloidal equal space line de be intermeshed;In (d)~(g) figures
The equal space line BC of prolate epicycloid in left side molded line (501) is intermeshed with the first circular arc ef in right side molded line (502);
Left side molded line (501) is symmetrical on y-axis, and left side molded line (501) is identical with right side molded line (502), then closes
There is identical meshing relation in the symmetrical constituent curve of y-axis.
As shown in fig. 7, be the engagement figure of 2 complete smooth twin-screw liquid pump screw rotors, left screw rotor (701) by
Left side molded line (501) makees axial screw expansion generation along left-hand screw line;Right screw rotor (702) is by right side molded line (502)
Make axial screw expansion generation along right-hand helix;Energy between helical tooth flank on left screw rotor (701) and right screw rotor (702)
Enough realize all is smoothly connected, and forms complete smooth twin-screw liquid pump screw rotor.
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 (7)
1. a kind of complete smooth twin-screw liquid pump screw rotor, including left screw rotor (701) and right screw rotor (702);
The left side molded line (501) of left screw rotor (701) includes 6 sections of circular arcs, 2 sections of long epicycloidal equal space lines and 2 sections of epicycloids
Equal space line;It is characterized in that:The left side molded line (501) of left screw rotor (701) is followed successively by counterclockwise:Tooth root circular arc
LAB, the equal space line BC of prolate epicycloid, First Transition circular arc C D, epicycloidal equal space line DE, the first circular arc EF, addendum circle arc
FGH, the second circular arc HI, the second epicycloidal equal space line IJ, the second transition arc JK, the equal space line KL of the second prolate epicycloid;
In described left side molded line (501), it is smoothly connected between its adjacent curve, in the absence of rough tie point, forms complete smooth
Profile;Described left side molded line (501) is symmetrical on y-axis;Using the first circular arc EF, epicycloidal equal space line DE,
First Transition circular arc C D, the equal space line BC of prolate epicycloid and the second circular arc HI, the second epicycloidal equal space line IJ, the second transition
Addendum circle arc FGH and tooth root circular arc LAB are smoothly connected by circular arc JK, the second prolate epicycloid equal space line KL, eight sections of curves.
2. a kind of complete smooth twin-screw liquid pump screw rotor as claimed in claim 1, it is characterized in that:Left screw rotor
(701) left side molded line (501) is identical with the right side molded line (502) of right screw rotor (702);Left side molded line
And right side molded line (502) can realize correct engagement, left side molded line (501) in synchronous incorgruous dual AC power motion (501)
In tooth root circular arc LAB, the equal space line BC of prolate epicycloid, First Transition circular arc C D, epicycloidal equal space line DE, the first circular arc
EF, addendum circle arc FGH, the second circular arc HI, the second epicycloidal equal space line IJ, the second transition arc JK, the second prolate epicycloid
Equal space line KL, respectively with the addendum circle arc fgh in right side molded line (502), the first circular arc ef, epicycloidal equal space line de,
First Transition circular arc cd, the equal space line bc of prolate cycloid, tooth root circular arc lab, the equal space line kl of the second prolate epicycloid, the second mistake
Cross circular arc jk, the second epicycloidal equal space line ij, the second circular arc ih correct engagements.
3. a kind of complete smooth twin-screw liquid pump screw rotor as claimed in claim 1, a left side for its left screw rotor (701)
Profile (501) generation method is as follows:
1. by below equation generate 5 sections of curves, respectively root circle (1), outside circle (2), pitch circle (3), prolate epicycloid (4) and
Epicycloid (5), each section of curvilinear equation is as follows:
The equation of root circle (1) is:
The equation of outside circle (2) is:
The equation of pitch circle (3) is:
The equation of prolate epicycloid (4) is:
The equation of epicycloid (5) is:
More than:T-it is angle parameter, rad;R2- it is pitch radius, mm;R1- it is radius of addendum, mm;R3- it is root circle
Radius, mm;And 2R2=R1+R3;r1- circle (7) radius;r2- transition circle (9) radius;
2. by epicycloid (5) pair-wise offset r laterally2Epicycloidal equal space line (6) is obtained, by epicycloidal equal space line (6) outwards
Side pair-wise offset r1, and with O2It is the center of circle with R1-r1Intersect for the circle of radius, intersection as center makees radius for r1Circle (7),
Circle (7) and outside circle (2) is tangent, and point of contact is F, and tangent with epicycloidal equal space line (6), point of contact is E, obtain the first circular arc EF with
Epicycloidal equal space line DE;
3. by prolate epicycloid (4) pair-wise offset r laterally1The equal space line (8) of prolate epicycloid is obtained, with O2It is the center of circle with R1-
r2Intersect for the circle of radius with x-axis, intersection as center makees radius for r2Transition circle (9), by the equal space line of prolate epicycloid
(8) rotation alpha angle, the equal space line (8) for obtaining transition circle (9) and prolate epicycloid is tangent, and point of contact is C, transition circle (9) and epicycloid
Equal space line (6) it is tangent, point of contact is D, obtains the equal space line BC of First Transition circular arc C D and prolate epicycloid;
Wherein, the anglec of rotation(xw, yw) be following bar curve intersection point:
It is the center of circle with R using O1-r1For the circle of radius:x2+y2=(R1-r1)2
Epicycloidal equal space line (6) pair-wise offset r laterally1The curve obtained afterwards, its equation is as follows:
4. by the equal space line BC of prolate epicycloid obtained above, First Transition circular arc C D, epicycloidal equal space line DE and first
Circular arc EF symmetrically obtains the equidistant curve KL of the second prolate epicycloid on y-axis, the second transition arc JK, second epicycloidal
Equidistant curve IJ and the second circular arc HI.
4. a kind of complete smooth twin-screw liquid pump screw rotor as claimed in claim 1, it is characterized in that:Left screw rotor
(701) axial screw expansion generation is made along left-hand screw line by left side molded line (501);Right screw rotor (702) is by right side type
Line (502) makees axial screw expansion generation along right-hand helix;Spiral on left screw rotor (701) and right screw rotor (702)
It can realize and all be smoothly connected between the flank of tooth, form complete smooth twin-screw liquid pump screw rotor;
Right-hand helix equation is:
Left-hand screw line equation is:
More than:R-helix radius, mm;P-screw rotor pitch, mm;τ-spiral angle of spread, rad;N-pitch number.
5. a kind of complete smooth twin-screw liquid pump screw rotor according to claim 1, it is characterized in that:Left screw rod is turned
The corresponding central angle β of addendum circle arc FGH in the left side molded line (501) of sub (701) are changed to 90-2 α, tooth root circular arc LAB correspondences
Central angle be also changed to 90-2 α, obtain bidentate screw rotor side profile (401), side profile (401) is in pitch circle
It is uniformly distributed on circumference by 180 °, just obtains complete bidentate screw rotor end face molded line (402).
6. a kind of twin-screw liquid pump, it is characterized in that:Screw rotor described in usage right requirement 1.
7. a kind of twin-screw liquid pump, it is characterized in that:Screw rotor described in usage right requirement 5.
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CN108757438B (en) * | 2018-07-25 | 2023-08-18 | 中国石油大学(华东) | Full-smooth screw rotor with small enclosed volume and design method thereof |
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