CN107023480B - 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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- CN107023480B CN107023480B CN201710332535.2A CN201710332535A CN107023480B CN 107023480 B CN107023480 B CN 107023480B CN 201710332535 A CN201710332535 A CN 201710332535A CN 107023480 B CN107023480 B CN 107023480B
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- 239000007788 liquid Substances 0.000 title claims abstract description 48
- 210000004746 Tooth Root Anatomy 0.000 claims description 14
- 230000000875 corresponding Effects 0.000 claims description 6
- 239000000969 carriers Substances 0.000 description 3
- 238000000034 methods Methods 0.000 description 3
- 238000007789 sealing Methods 0.000 description 2
- 230000001360 synchronised Effects 0.000 description 2
- 235000000621 Bidens tripartita Nutrition 0.000 description 1
- 240000004082 Bidens tripartita Species 0.000 description 1
- 208000006637 Fused Teeth Diseases 0.000 description 1
- 238000005299 abrasion Methods 0.000 description 1
- 239000000470 constituents Substances 0.000 description 1
- 239000008358 core components Substances 0.000 description 1
- 238000006073 displacement reactions Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000006011 modification reactions Methods 0.000 description 1
- 239000011257 shell materials Substances 0.000 description 1
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
-
- 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
-
- 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
Abstract
The invention discloses a kind of complete smooth twin-screw liquid pump screw rotor, 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；Counterclockwise successively are as follows: root circle 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；It in the left side molded line (501), is smoothly connected between adjacent curve, rough tie point is not present, form complete smooth profile；Left side molded line (501) is identical with right side molded line (502), can be realized correct engagement in synchronizing incorgruous dual AC power movement；Obtain complete smooth screw rotor.
Description
Technical field
The present invention relates to twin-screw liquid pumps, in particular to suitable for a kind of complete smooth twin-screw of twin-screw liquid pump
Liquid pump screw rotor.
Background technique
Twin-screw liquid pump is a kind of proof positive displacement liquid pump, is formed in the pump housing by two intermeshing screw rotors
Multiple closing chambers are moved by the band movement synchronous different of synchromesh gear to dual AC power, and seal chamber continuously shifts to row from suction inlet
Outlet, realizes the conveying of liquid.Its core component is a pair of intermeshing screw rotor, the design of screw rotor end face molded line
Directly influence the performance of pump.Common twin-screw liquid pump profile is put by circular arc-circular arc envelope and point gearing
Line composition；There are four rough tie points in this screw rotor end face molded line, screw rotor is easy to happen abrasion, reduces pump
Service life, will increase the leakage rate of pump in the course of work, to reduce the capacity utilization of twin-screw liquid pump.
Summary of the invention
The present invention to solve the above-mentioned 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
It instead of commonly putting the engagement system with cycloid, is smoothly connected so that being realized 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 synchronizing incorgruous dual AC power
It can be realized correct engagement under movement, the engagement between profile becomes line engagement from original point gearing, and then screw rod turns
Engagement between son becomes face from original line engagement and engages；The wearability and sealing performance of screw rotor are improved, spiral shell is improved
The service life of bar rotor；Enclosed volume formed in screw rotor engagement process is also reduced simultaneously, improves twin-screw
The performance of liquid pump；Type and its working performance of raising to abundant twin-screw liquid pump screw rotor end face molded line is with important
Meaning.
To achieve the goals above, the present invention adopts the following technical scheme:
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 counterclockwise successively are as follows: root circle 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；
It in the left side molded line (501), is smoothly connected between adjacent curve, rough tie point is not present, formed complete smooth
Profile；The left side molded line (501) is symmetrical about 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 the equal space line KL of circular arc JK, the second prolate epicycloid, 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) is with right side molded line (502) synchronous
It can be realized correct engagement in incorgruous dual AC power movement, the 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 second prolate epicycloid equal space line KL, 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 engagement
A kind of complete smooth twin-screw liquid pump screw rotor, the left side molded line (501) of left screw rotor (701) are raw
It is as follows at method:
1. generating 5 sections of curves, respectively root circle (1), outside circle (2), pitch circle (3), prolate epicycloid by following equation
(4) and epicycloid (5), each section of curvilinear equation are as follows:
The equation of root circle (1) are as follows:
The equation of outside circle (2) are as follows:
The equation of pitch circle (3) are as follows:
The equation of prolate epicycloid (4) are as follows:
The equation of epicycloid (5) are as follows:
More than: t-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 outward2Epicycloidal equal space line (6) are obtained, by epicycloidal equal space line
(6) pair-wise offset r outward1, and with O2It is the center of circle with R1-r1For the circle intersection of radius, it is r that radius is made in intersection as center1
Circle (7), circle (7) and outside circle (2) it is tangent, point of contact F is tangent with epicycloidal equal space line (6), and point of contact E obtains first
Circular arc EF and epicycloidal equal space line DE；
3. by prolate epicycloid (4) pair-wise offset r outward1The 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, it is r that radius is made in intersection as center2Transition circle (9), by prolate epicycloid etc.
Away from line (8) rotation alpha angle, obtains transition circle (9) and the equal space line (8) of prolate epicycloid is tangent, point of contact C, transition circle (9) and outer
The equal space line (6) of cycloid is tangent, and point of contact D obtains the equal space line BC of First Transition circular arc C D and prolate epicycloid；
Wherein, angle is rotated(xw, yw) be following 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 outward1The curve obtained afterwards, equation are 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 is symmetrically that the equidistant curve KL for obtaining the second prolate epicycloid, the second transition arc JK, second are put outside about 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 is made axial screw expansion and is generated；Right screw rotor (702) makees axial screw along right-hand helix by right side molded line (502)
Expansion generates；It can be realized between helical tooth flank on left screw rotor (701) and right screw rotor (702) and be all smoothly connected,
Form complete smooth twin-screw liquid pump screw rotor；
Right-hand helix equation are as follows:
Left helix equation are as follows:
More than: R-helix radius, mm；P-screw rotor screw pitch, mm；τ-spiral the angle of spread, rad；N-screw pitch
Number.
A kind of complete smooth twin-screw liquid pump screw rotor, will be in 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 angle of tooth root circular arc LAB is also changed to 90-2 α, obtains double
Tooth screw rotor side profile (401), side profile (401) are 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 following advantages proposed:
1. using the engagement system of circular arc and the equal space line of cycloid, smooth company between each curved section in realization profile
It connects, improves 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 becomes face from original line engagement and engages；Screw rod is improved to turn
The wearability and sealing performance of son, improve the service life of screw rotor；
3. reducing enclosed volume formed in screw rotor engagement process, the performance of twin-screw liquid pump is improved；
4. enriching twin-screw liquid pump screw rotor end face molded line type.
Detailed description of the invention
Fig. 1 is the screw rotor end face molded lines of common twin-screw liquid pump.
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 profiles；402-bidentate screw rotor end face molded line；
501-left side molded line；502-right side molded line；701-left screw rotors；702-right screw rotors；1-root circle；2—
Outside circle；3-pitch circles；4-prolate epicycloids；5-epicycloids；6-epicycloidal equal space lines；7-circles；8-prolate epicycloids
Equal space line；9-transition circles；α-rotation angle.
Specific embodiment:
The invention will be further described with embodiment with reference to the accompanying drawing.
As shown in Figure 1, being the screw rotor end face molded lines of common 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 composition；Distinguish in prolate epicycloid BC, FA
With the junction epicycloid CD, EF there are two rough tie point, and when epicycloid CD and EF is connect 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, for complete smooth twin-screw liquid pump screw rotor left side molded line (501) figure, left side molded line
It (501) include 6 sections of circular arcs, 2 sections of long epicycloidal equal space lines and 2 sections of epicycloidal equal space lines；Left side molded line (501) is by inverse
Clockwise is successively are as follows: root circle 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；It in the left side molded line (501), is smoothly connected between adjacent curve, there is no not
It is smoothly connected a little, forms complete smooth profile；The left side molded line (501) is symmetrical about 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, second are put outside
The equal space line IJ of line, the second transition arc JK, the second prolate epicycloid equal space line KL, 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 for improving screw rotor, improves the stress of screw rotor
Characteristic improves the service life of screw rotor.
As shown in figure 3, for the generation figure of complete smooth twin-screw liquid pump screw rotor left side molded line (501), life
It is as follows at method:
1. generating 5 sections of curves, respectively root circle (1), outside circle (2), pitch circle (3), prolate epicycloid by following equation
(4) and epicycloid (5), each section of curvilinear equation are as follows:
The equation of root circle (1) are as follows:
The equation of outside circle (2) are as follows:
The equation of pitch circle (3) are as follows:
The equation of prolate epicycloid (4) are as follows:
The equation of epicycloid (5) are as follows:
More than: t-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 outward2Epicycloidal equal space line (6) are obtained, by epicycloidal equal space line
(6) pair-wise offset r outward1, and with O2It is the center of circle with R1-r1For the circle intersection of radius, it is r that radius is made in intersection as center1
Circle (7), circle (7) and outside circle (2) it is tangent, point of contact F is tangent with epicycloidal equal space line (6), and point of contact E obtains first
Circular arc EF and epicycloidal equal space line DE；
3. by prolate epicycloid (4) pair-wise offset r outward1The 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, it is r that radius is made in intersection as center2Transition circle (9), by prolate epicycloid etc.
Away from line (8) rotation alpha angle, obtains transition circle (9) and the equal space line (8) of prolate epicycloid is tangent, point of contact C, transition circle (9) and outer
The equal space line (6) of cycloid is tangent, and point of contact D obtains the equal space line BC of First Transition circular arc C D and prolate epicycloid；
Wherein, angle is rotated(xw, yw) be following 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 outward1The curve obtained afterwards, equation are 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 is symmetrically that the equidistant curve KL for obtaining the second prolate epicycloid, the second transition arc JK, second are put outside about y-axis
The equidistant curve IJ of line and the second circular arc HI.
As shown in figure 4, for a kind of generation figure of the complete smooth twin-screw liquid pump screw rotor end face molded line of bidentate, life
It is that the corresponding central angle β of addendum circle arc FGH is changed to 90-2 α, tooth on the basis of left side molded line (501) generate at method
The corresponding central angle of root circular arc LAB is also changed to 90-2 α, obtains bidentate screw rotor side profile (401), and bidentate screw rod turns
Sub- side profile (401) is uniformly distributed on pitch-line by 180 °, and complete bidentate screw rotor end face is just obtained
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 second prolate epicycloid equal space line KL, 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 be realized the correct engagement between curved section.
As shown in fig. 6, being engagement figure of 2 complete smooth profiles at out of phase, each phase in (a)~(e) figure
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) rotates clockwise 14 °, and 14 ° of rotation obtains right side molded line (502) counterclockwise；(e)~(g) each adjacent in figure
8 ° of carrier phase shift between figure；(g)~(h) 10 ° of carrier phase shift between figure；In (a)~(g) figure, 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) figure
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 about 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, for the engagement figure of 2 complete smooth twin-screw liquid pump screw rotors, left screw rotor (701) by
Left side molded line (501) is made axial screw expansion along left helix and is generated；Right screw rotor (702) is by right side molded line (502)
Make axial screw expansion along right-hand helix to generate；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.
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 (5)
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 counterclockwise successively are as follows: root circle 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；
It in the left side molded line (501), is smoothly connected between adjacent curve, rough tie point is not present, formed complete smooth
Profile；The left side molded line (501) is symmetrical about 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 the equal space line KL of circular arc JK, the second prolate epicycloid, eight sections of curves；
A kind of described complete smooth twin-screw liquid pump screw rotor, the left side molded line (501) of left screw rotor (701) and
The right side molded line (502) of right screw rotor (702) is identical；Left side molded line (501) and right side molded line (502) are same
Walking in incorgruous dual AC power movement can be realized correct engagement, tooth root circular arc LAB, 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,
Second epicycloidal equal space line IJ, the second transition arc JK, the second prolate epicycloid equal space line KL, 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 engagement；
A kind of complete smooth twin-screw liquid pump screw rotor, the left side molded line (501) of left screw rotor (701)
Generation method is as follows:
1. by following 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 are as follows:
The equation of root circle (1) are as follows:
The equation of outside circle (2) are as follows:
The equation of pitch circle (3) are as follows:
The equation of prolate epicycloid (4) are as follows:
The equation of epicycloid (5) are as follows:
More than: t-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 outward2Epicycloidal equal space line (6) are obtained, epicycloidal equal space line (6) is outside
Side pair-wise offset r1, and with O2It is the center of circle with R1-r1For the circle intersection of radius, it is r that radius is made in intersection as center1Circle (7),
Circle (7) and outside circle (2) it is tangent, point of contact F is tangent with epicycloidal equal space line (6), point of contact E, obtain the first circular arc EF with
Epicycloidal equal space line DE；
3. by prolate epicycloid (4) pair-wise offset r outward1The 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, it is r that radius is made in intersection as center2Transition circle (9), by the equal space line of prolate epicycloid
(8) rotation alpha angle, obtains transition circle (9) and the equal space line (8) of prolate epicycloid is tangent, point of contact C, transition circle (9) and epicycloid
Equal space line (6) it is tangent, point of contact D obtains the equal space line BC of First Transition circular arc C D and prolate epicycloid；
Wherein, angle is rotated(xw, yw) be following 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 outward1The curve obtained afterwards, equation are 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, the second transition arc JK, second epicycloidal about y-axis
Equidistant curve IJ and the second circular arc HI.
2. a kind of complete smooth twin-screw liquid pump screw rotor as described in claim 1, it is characterized in that: left screw rotor
(701) make axial screw expansion along left helix by left side molded line (501) to generate；Right screw rotor (702) is by right side type
Line (502) is made axial screw expansion along right-hand helix and is generated；Spiral on left screw rotor (701) and right screw rotor (702)
It can be realized between the flank of tooth and be all smoothly connected, form complete smooth twin-screw liquid pump screw rotor；
Right-hand helix equation are as follows:
Left helix equation are as follows:
More than: R-helix radius, mm；P-screw rotor screw pitch, mm；τ-spiral the angle of spread, rad；N-screw pitch number.
3. 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) is changed to 90-2 α, and tooth root circular arc LAB is corresponding
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).
4. a kind of twin-screw liquid pump, it is characterized in that: using screw rotor described in claim 1.
5. a kind of twin-screw liquid pump, it is characterized in that: using screw rotor as claimed in claim 3.
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| CN108223359B (en) * | 2017-12-19 | 2019-12-24 | 江南大学 | Method for modifying rotor profile linear performance by adjusting meshing line segment |
| US10883496B2 (en) | 2017-12-19 | 2021-01-05 | Jiangnan University | Method for modifying performance of rotor profile by adjusting meshing line segments |
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| US2931308A (en) * | 1957-03-29 | 1960-04-05 | Improved Machinery Inc | Plural intermeshing screw structures |
| CN205388015U (en) * | 2015-11-09 | 2016-07-20 | 中国石油大学(华东) | Twin screw vacuum pump's complete glossy screw rotor and vacuum pump thereof |
| CN105240277B (en) * | 2015-11-09 | 2017-05-03 | 中国石油大学(华东) | Fully-smooth screw rotor of twin-screw vacuum pump |
| CN105952645A (en) * | 2016-04-08 | 2016-09-21 | 山东伯仲真空设备股份有限公司 | Arc molded line screw rotor for screw vacuum pump |
| CN106122005B (en) * | 2016-08-24 | 2018-08-14 | 黄山工业泵制造有限公司 | A kind of three screw rods using circular arc modified tooth profile |
| 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 |
| CN206694248U (en) * | 2017-05-12 | 2017-12-01 | 中国石油大学(华东) | A kind of complete smooth twin-screw liquid pump screw rotor |
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