CN107023480B  A kind of complete smooth twinscrew liquid pump screw rotor  Google Patents
A kind of complete smooth twinscrew 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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 equal space
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 line
 circular arc
 screw
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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 carrier Substances 0.000 description 3
 238000000034 method 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 constituent Substances 0.000 description 1
 239000008358 core component Substances 0.000 description 1
 238000006073 displacement reaction Methods 0.000 description 1
 230000004048 modification Effects 0.000 description 1
 238000006011 modification reaction Methods 0.000 description 1
Classifications

 F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
 F04—POSITIVE  DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
 F04C—ROTARYPISTON, OR OSCILLATINGPISTON, POSITIVEDISPLACEMENT MACHINES FOR LIQUIDS; ROTARYPISTON, OR OSCILLATINGPISTON, POSITIVEDISPLACEMENT PUMPS
 F04C2/00—Rotarypiston machines or pumps
 F04C2/08—Rotarypiston machines or pumps of intermeshingengagement type, i.e. with engagement of cooperating 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—ROTARYPISTON, OR OSCILLATINGPISTON, POSITIVEDISPLACEMENT MACHINES FOR LIQUIDS; ROTARYPISTON, OR OSCILLATINGPISTON, POSITIVEDISPLACEMENT PUMPS
 F04C2/00—Rotarypiston machines or pumps
 F04C2/08—Rotarypiston machines or pumps of intermeshingengagement type, i.e. with engagement of cooperating members similar to that of toothed gearing
 F04C2/12—Rotarypiston machines or pumps of intermeshingengagement type, i.e. with engagement of cooperating members similar to that of toothed gearing of other than internalaxis type
 F04C2/14—Rotarypiston machines or pumps of intermeshingengagement type, i.e. with engagement of cooperating members similar to that of toothed gearing of other than internalaxis type with toothed rotary pistons
 F04C2/16—Rotarypiston machines or pumps of intermeshingengagement type, i.e. with engagement of cooperating members similar to that of toothed gearing of other than internalaxis type with toothed rotary pistons with helical teeth, e.g. chevronshaped, screw type

 F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
 F04—POSITIVE  DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
 F04C—ROTARYPISTON, OR OSCILLATINGPISTON, POSITIVEDISPLACEMENT MACHINES FOR LIQUIDS; ROTARYPISTON, OR OSCILLATINGPISTON, POSITIVEDISPLACEMENT PUMPS
 F04C2240/00—Components
 F04C2240/20—Rotors
Abstract
The invention discloses a kind of complete smooth twinscrew 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 twinscrew liquid pumps, in particular to suitable for a kind of complete smooth twinscrew of twinscrew liquid pump
Liquid pump screw rotor.
Background technique
Twinscrew 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 twinscrew liquid pump profile is put by circular arccircular 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 twinscrew liquid pump.
Summary of the invention
The present invention to solve the abovementioned problems, while in order to enrich twinscrew liquid pump screw rotor end face molded line type,
Propose a kind of complete smooth twinscrew 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 twinscrew
The performance of liquid pump；Type and its working performance of raising to abundant twinscrew 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 twinscrew 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 yaxis；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 twinscrew 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 twinscrew 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: tis angle parameter, rad；R_{2} it is pitch radius, mm；R_{1} it is radius of addendum, mm；R_{3} it is tooth
Root radius, mm；And 2R_{2}=R_{1}+R_{3}；r_{1} circle (7) radius；r_{2} transition circle (9) radius；
2. by epicycloid (5) pairwise offset r outward_{2}Epicycloidal equal space line (6) are obtained, by epicycloidal equal space line
(6) pairwise offset r outward_{1}, and with O_{2}It is the center of circle with R_{1}r_{1}For the circle intersection of radius, it is r that radius is made in intersection as center_{1}
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) pairwise offset r outward_{1}The equal space line (8) of prolate epicycloid is obtained, with O_{2}For the center of circle
With R_{1}r_{2}Intersect for the circle of radius with xaxis, it is r that radius is made in intersection as center_{2}Transition 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(x_{w}, y_{w}) be following curve intersection point；
It is the center of circle with R using O_{1}r_{1}For the circle of radius: x^{2}+y^{2}=(R_{1}r_{1})^{2}
Epicycloidal equal space line (6) pairwise offset r outward_{1}The 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 yaxis
The equidistant curve IJ of line and the second circular arc HI.
A kind of complete smooth twinscrew 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 righthand 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 twinscrew liquid pump screw rotor；
Righthand helix equation are as follows:
Left helix equation are as follows:
More than: Rhelix radius, mm；Pscrew rotor screw pitch, mm；τspiral the angle of spread, rad；Nscrew pitch
Number.
A kind of complete smooth twinscrew 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 902 α, the corresponding central angle of tooth root circular arc LAB is also changed to 902 α, obtains double
Tooth screw rotor side profile (401), side profile (401) are uniformly distributed on pitchline by 180 °, just
Obtain complete bidentate screw rotor end face molded line (402).
A kind of twinscrew liquid pump uses a kind of abovementioned complete smooth twinscrew liquid pump screw rotor.
A kind of twinscrew liquid pump uses a kind of complete smooth twinscrew liquid pump screw rotor of abovementioned bidentate.
A kind of complete smooth twinscrew 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 wearresisting 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 twinscrew liquid pump is improved；
4. enriching twinscrew 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 twinscrew liquid pump.
Fig. 2 is complete smooth twinscrew liquid pump screw rotor left side molded line (501) figure.
Fig. 3 is the generation figure of complete smooth twinscrew liquid pump screw rotor left side molded line (501).
Fig. 4 is a kind of generation figure of the complete smooth twinscrew 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 twinscrew liquid pump screw rotors.
In figure: R_{2} it is pitch radius；R_{1} it is radius of addendum；R_{3} it is root radius；r_{1} circle (7) radius；
r_{2} transition circle (9) radius；401bidentate screw rotor side profiles；402bidentate screw rotor end face molded line；
501left side molded line；502right side molded line；701left screw rotors；702right screw rotors；1root circle；2—
Outside circle；3pitch circles；4prolate epicycloids；5epicycloids；6epicycloidal equal space lines；7circles；8prolate epicycloids
Equal space line；9transition circles；αrotation 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 twinscrew 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 twinscrew 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 yaxis；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 twinscrew 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 twinscrew 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: tis angle parameter, rad；R_{2} it is pitch radius, mm；R_{1} it is radius of addendum, mm；R_{3} it is tooth
Root radius, mm；And 2R_{2}=R_{1}+R_{3}；r_{1} circle (7) radius；r_{2} transition circle (9) radius；
2. by epicycloid (5) pairwise offset r outward_{2}Epicycloidal equal space line (6) are obtained, by epicycloidal equal space line
(6) pairwise offset r outward_{1}, and with O_{2}It is the center of circle with R_{1}r_{1}For the circle intersection of radius, it is r that radius is made in intersection as center_{1}
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) pairwise offset r outward_{1}The equal space line (8) of prolate epicycloid is obtained, with O_{2}For the center of circle
With R_{1}r_{2}Intersect for the circle of radius with xaxis, it is r that radius is made in intersection as center_{2}Transition 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(x_{w}, y_{w}) be following curve intersection point:
It is the center of circle with R using O_{1}r_{1}For the circle of radius: x^{2}+y^{2}=(R_{1}r_{1})^{2}
Epicycloidal equal space line (6) pairwise offset r outward_{1}The 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 yaxis
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 twinscrew 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 902 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 902 α, obtains bidentate screw rotor side profile (401), and bidentate screw rod turns
Sub side profile (401) is uniformly distributed on pitchline 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 xaxis 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 yaxis, 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 yaxis.
As shown in fig. 7, for the engagement figure of 2 complete smooth twinscrew 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 righthand 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 twinscrew liquid pump screw rotor.
Abovementioned, 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 twinscrew 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 yaxis；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 twinscrew 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 twinscrew 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: tis angle parameter, rad；R_{2} it is pitch radius, mm；R_{1} it is radius of addendum, mm；R_{3} it is root circle
Radius, mm；And 2R_{2}=R_{1}+R_{3}；r_{1} circle (7) radius；r_{2} transition circle (9) radius；
2. by epicycloid (5) pairwise offset r outward_{2}Epicycloidal equal space line (6) are obtained, epicycloidal equal space line (6) is outside
Side pairwise offset r_{1}, and with O_{2}It is the center of circle with R_{1}r_{1}For the circle intersection of radius, it is r that radius is made in intersection as center_{1}Circle (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) pairwise offset r outward_{1}The equal space line (8) of prolate epicycloid is obtained, with O_{2}It is the center of circle with R_{1}
r_{2}Intersect for the circle of radius with xaxis, it is r that radius is made in intersection as center_{2}Transition 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(x_{w}, y_{w}) be following curve intersection point:
It is the center of circle with R using O_{1}r_{1}For the circle of radius: x^{2}+y^{2}=(R_{1}r_{1})^{2}
Epicycloidal equal space line (6) pairwise offset r outward_{1}The 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 yaxis
Equidistant curve IJ and the second circular arc HI.
2. a kind of complete smooth twinscrew 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 righthand 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 twinscrew liquid pump screw rotor；
Righthand helix equation are as follows:
Left helix equation are as follows:
More than: Rhelix radius, mm；Pscrew rotor screw pitch, mm；τspiral the angle of spread, rad；Nscrew pitch number.
3. a kind of complete smooth twinscrew 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 902 α, and tooth root circular arc LAB is corresponding
Central angle be also changed to 902 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 twinscrew liquid pump, it is characterized in that: using screw rotor described in claim 1.
5. a kind of twinscrew liquid pump, it is characterized in that: using screw rotor as claimed in claim 3.
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CN205388015U (en) *  20151109  20160720  中国石油大学(华东)  Twin screw vacuum pump's complete glossy screw rotor and vacuum pump thereof 
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