CN207864159U - A kind of screw rotor including elliptic arc - Google Patents
A kind of screw rotor including elliptic arc Download PDFInfo
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- CN207864159U CN207864159U CN201820098504.5U CN201820098504U CN207864159U CN 207864159 U CN207864159 U CN 207864159U CN 201820098504 U CN201820098504 U CN 201820098504U CN 207864159 U CN207864159 U CN 207864159U
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- elliptic arc
- arc
- curve
- junction curve
- molded line
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- 210000000078 claw Anatomy 0.000 claims abstract description 31
- 239000000470 constituent Substances 0.000 claims abstract description 13
- 230000009977 dual effect Effects 0.000 claims description 5
- 239000011159 matrix material Substances 0.000 claims description 3
- 230000009466 transformation Effects 0.000 claims description 3
- 238000007789 sealing Methods 0.000 abstract 1
- 238000000034 method Methods 0.000 description 2
- 235000007926 Craterellus fallax Nutrition 0.000 description 1
- 240000007175 Datura inoxia Species 0.000 description 1
- 230000006978 adaptation Effects 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000006835 compression Effects 0.000 description 1
- 238000007906 compression Methods 0.000 description 1
- 238000006073 displacement reaction Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000005457 optimization Methods 0.000 description 1
- 230000008569 process Effects 0.000 description 1
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Abstract
The utility model discloses a kind of screw rotor including elliptic arc, the left section molded line of left screw rotor is identical with the shape of the right section molded line of right screw rotor and constituent curve；Left section molded line is made of the first junction curve, the conjugate curves of the first junction curve, left addendum circle arc, left claw point elliptic arc, left claw point elliptic arc envelope and left tooth root circular arc；Left section molded line includes two kinds of embodiments：First junction curve is elliptic arc, and the envelope that the conjugate curves of the first junction curve are elliptic arc；First junction curve is the envelope of elliptic arc, and the conjugate curves of the first junction curve are elliptic arc；Two complete correct engagements of screw rotor, connection is completely smooth between the adjacent flank of tooth, there is no region of stress concentrations, with larger area utilization, continuous and shorter space contact line, the smaller leakage triangle of area, improves the sealing performance of Twin-screw vacuum pump, improves final vacuum and rate of air sucked in required.
Description
Technical field
The utility model is related to Twin-screw vacuum pumps, more particularly to the one kind for being suitable for Twin-screw vacuum pump includes elliptic arc
Screw rotor.
Background technology
Twin-screw vacuum pump is a kind of rotary displacement pump, have it is simple in structure, operate steadily, clean oil-free, adaptation more
The advantages of kind of operating mode, the important spare part of Twin-screw vacuum pump are two parallel assembly, intermeshing screw rotors, when work
It is moved by the incorgruous dual AC power that synchronizes of two screw rotors, realizes air-breathing, compression and the exhaust process of pumped gas in pump；Spiral shell
Performance important of the section molded line of bar rotor to Twin-screw vacuum pump.
The section molded line of general screw rotor is made of 4 sections of curves at present, including tooth root circular arc, addendum circle arc, cycloid, circle
Involute, there is the part for being not involved in engagement in the section molded line of the screw rotor, and the space contact line of screw rotor is discontinuous；
Patent CN102465871A proposes a kind of screw rotor end face tooth type, constituent curve include cycloid, circular arc and arc envelope line,
Elliptic arc and oval envelope curve, the section molded line area utilization is low, and the screw rotor space contact line being generated by it is long；Patent
CN105240277A proposes a kind of complete smooth screw rotor of Twin-screw vacuum pump, and circular arc amendment is used at pawl point, uses
The equidistant curve of cycloid replaces cycloid, and the screw rotor leakage triangle area which generates is excessive.
Invention content
In order to solve, existing Twin-screw vacuum pump screw rotor area utilization is low, space contact line is long, leakage triangle
The big problem of area, while the type of horn of plenty Twin-screw vacuum pump rotor, the utility model proposes a kind of full light of elliptic arc
Sliding screw rotor：Addendum circle arc and tooth root circular arc are smoothly connected using elliptic arc and its envelope, using elliptic arc and its envelope
Line corrects pawl point, improves the area utilization of section molded line, reduces the leakage triangle area of screw rotor, and two spiral shells
Bar rotor has continuous and shorter space contact line, be conducive to reduce operated adjacent chamber between by space contact line and leakage three
Angular leakage improves the final vacuum and rate of air sucked in required of screw rotor.
To achieve the goals above, the utility model adopts the following technical solution：
A kind of screw rotor including elliptic arc, including left screw rotor (1) and right screw rotor (2), left screw rotor
(1) left section molded line (101) is made of 6 sections of curves, is followed successively by counterclockwise：First junction curve AB, the first connection
The conjugate curves BC of curve, left addendum circle arc CD, left claw point elliptic arc DE, left claw point elliptic arc envelope EF, left tooth root circular arc
FA is completely smooth connection between adjacent constituent curve；The right section molded line (201) of right screw rotor (2) is made of 6 sections of curves,
It is followed successively by counterclockwise：Second junction curve ab, the conjugate curves bc of the second junction curve, right addendum circle arc cd, right pawl
Sharp elliptic arc de, right pawl point elliptic arc envelope ef, right tooth root circular arc fa are completely smooth connection between adjacent constituent curve；It is left
Section molded line (101) is identical with the shape of right section molded line (201) and constituent curve；Synchronizing incorgruous dual AC power movement
In work, left section molded line (101) is with the situation that engages of the upper each section of curve of right section molded line (201)：First junction curve AB
It being engaged with the conjugate curves bc of the second junction curve, the conjugate curves BC of the first junction curve is engaged with the second junction curve ab,
Left addendum circle arc CD is engaged with right tooth root circular arc fa, and left claw point elliptic arc DE is engaged with right pawl point elliptic arc envelope ef, left claw
Sharp elliptic arc envelope EF is engaged with right pawl point elliptic arc de, and left tooth root circular arc FA is engaged with right addendum circle arc cd；Left section type
First junction curve AB of line (101) and the conjugate curves BC of the first junction curve includes two kinds of embodiments：First junction curve
AB is elliptic arc, and the envelope that the conjugate curves BC of the first junction curve is elliptic arc；First junction curve AB is elliptic arc
Envelope, and the conjugate curves BC of the first junction curve be elliptic arc.
A kind of screw rotor including elliptic arc, first connecting on left section molded line (101) in first embodiment
It meets curve AB and is designed to that elliptic arc, the conjugate curves BC of the first junction curve are designed to the envelope of elliptic arc, curvilinear equation is such as
Under：
Molded line parameter includes：Pitch radius R2, fillet radius R3, the first elliptic arc major semiaxis length m1, it is first oval
Arc semi-minor axis length n1, back of tooth central angle θ；
The equation of first junction curve AB is：
In formula：α=pi/2-θ/2；
The equation of the conjugate curves BC of first junction curve is：
In formula,For the first intermediate parameters, by
It acquires, C1、C2、C3、C4For constant.
A kind of screw rotor including elliptic arc, first connecting on left section molded line (101) in second embodiment
The envelope that curve AB is designed to elliptic arc is connect, the conjugate curves BC of the first junction curve is designed to elliptic arc, and curvilinear equation is such as
Under：
Molded line parameter includes：Addendum circle arc radius R1, pitch radius R2, the second elliptic arc major semiaxis length m2, it is second oval
Arc semi-minor axis length n2, back of tooth central angle θ；
The equation of the conjugate curves BC of first junction curve is：
In formula：α=pi/2-θ/2；
The equation of first junction curve AB is：
In formula,For the second intermediate parameters, by
It acquires, C5、C6、C7、C8For constant.
The composition of a kind of screw rotor including elliptic arc, the left section molded line (101) of left screw rotor (1) is bent
The curvilinear equation of line left claw point elliptic arc DE and left claw point elliptic arc envelope EF are as follows：
Molded line parameter includes：Addendum circle arc radius R1, pitch radius R2, third elliptic arc major semiaxis length m3, third it is oval
Arc semi-minor axis length n3, rotation angle γ；
The equation of left claw point elliptic arc DE is：
The equation of left claw point elliptic arc envelope EF is：
In formula：M1For rotational transformation matrix,For initial pawl point elliptic arc envelope：
M1It indicates initial pawl point elliptic arc envelope around left section molded line center O1Rotation γ angles counterclockwise, rotation angle
Degree γ is determined by following equation：
In formula：For third intermediate parameters, by
It acquires, C9、C10、C11、C12For constant.
A kind of Twin-screw vacuum pump uses a kind of screw rotor including elliptic arc.
The beneficial effects of the utility model are：
(1) it is completely smooth connection between all adjacent curves on the section molded line of the screw rotor proposed, by section
The expansion of molded line spiral generates complete smooth screw rotor, is completely smooth connection between the adjacent flank of tooth, region of stress concentration is not present,
Improve the mechanical property of screw rotor；
(2) the section molded line of the screw rotor proposed is smoothly connected tooth root circular arc and tooth using elliptic arc and its envelope
Tip circle arc corrects pawl point using elliptic arc and its envelope, and changing elliptical long semi-minor axis can be with flexible modulation constituent curve, just
In optimization design；
(3) screw rotor proposed is compared with existing screw rotor, the area utilization with bigger, continuously and more
The smaller leakage triangle of short space contact line and area；Be conducive to contact by space between reduction operated adjacent chamber
The leakage of line and leakage triangle improves the final vacuum and rate of air sucked in required of screw rotor.
Description of the drawings
Fig. 1 is the left section molded lines of the left screw rotor of first embodiment.
Fig. 2 is the left section molded lines of the left screw rotor of second embodiment.
Fig. 3 is the pawl point elliptic arc figure of left section molded line.
Fig. 4 is the engagement figure of first embodiment left section molded line and right section molded line.
Fig. 5 is the engagement line chart of first embodiment two screw rods rotor.
Fig. 6 is the space contact line figure on the left screw rotor of first embodiment.
Fig. 7 is the engagement figure of first embodiment two screw rods rotor.
In figure：1-left screw rotor；2-right screw rotors；101-left section molded line；201-right section molded line；R1—
Addendum circle arc radius；R2- pitch radius；R3- fillet radius；m1- the first elliptic arc major semiaxis length；n1- the first is ellipse
Circular arc semi-minor axis length；m2- the second elliptic arc major semiaxis length；n2- the second elliptic arc semi-minor axis length；m3- third is oval
Arc length half shaft length；n3- third elliptic arc semi-minor axis length；θ-back of tooth central angle；γ-rotation angle；O1- left section type
Line center；O2- right section molded line center；Ot- pawl point elliptic arc center；lAB- the first back of tooth path of contact；lBC- the second back of tooth
Path of contact；lCD- outside circle path of contact；lDE- crown path of contact；lEF- concave tooth path of contact；lFA- root circle path of contact；LAB—
First rear flank contact line；LBC- the second rear flank contact line；LCD- crest top land contact line；LDE- face of tooth contact line；LEF—
Concave tooth face contact line；LFA- root face contact line.
Specific implementation mode
The utility model is described in further detail below in conjunction with the accompanying drawings.
As shown in Figure 1, the left section molded line (101) of the left screw rotor of first embodiment (1) is made of 6 sections of curves, by inverse
Clockwise is followed successively by：First junction curve AB, the conjugate curves BC of the first junction curve, left addendum circle arc CD, left claw point are ellipse
Circular arc DE, left claw point elliptic arc envelope EF, left tooth root circular arc FA are completely smooth connection between adjacent constituent curve；First connects
It meets curve AB and is designed as elliptic arc, the conjugate curves BC of the first junction curve is designed as the envelope of elliptic arc, and curvilinear equation is such as
Under：
The equation of first junction curve AB is：
In formula：α=pi/2-θ/2；
The equation of the conjugate curves BC of first junction curve is：
In formula,For the first intermediate parameters, by
It acquires, C1、C2、C3、C4For constant.
As shown in Fig. 2, the left section molded line (101) of the left screw rotor of second embodiment (1) is made of 6 sections of curves, by inverse
Clockwise is followed successively by：First junction curve AB, the conjugate curves BC of the first junction curve, left addendum circle arc CD, left claw point are ellipse
Circular arc DE, left claw point elliptic arc envelope EF, left tooth root circular arc FA are completely smooth connection between adjacent constituent curve；First connects
The envelope that curve AB is designed as elliptic arc is connect, the conjugate curves BC of the first junction curve is designed as elliptic arc, and curvilinear equation is such as
Under：
The equation of the conjugate curves BC of first junction curve is：
In formula：α=pi/2-θ/2；
The equation of first junction curve AB is：
In formula,For the second intermediate parameters, by
It acquires, C5、C6、C7、C8For constant.
As shown in figure 3, the centers left claw point elliptic arc DE of left section molded line (101) are pawl point elliptic arc center Ot, OtD connects
Line is elliptic arc semi-minor axis, is rotation angle γ with horizontal direction angle；Left claw point elliptic arc DE and left claw point elliptic arc envelope
The curvilinear equation of line EF is as follows：
The equation of left claw point elliptic arc DE is：
The equation of left claw point elliptic arc envelope EF is：
In formula：M1For rotational transformation matrix,For initial pawl point elliptic arc envelope：
M1It indicates initial pawl point elliptic arc envelope around left section molded line center O1Rotation γ angles counterclockwise, rotation angle
Degree γ is determined by following equation：
In formula：For third intermediate parameters, by
It acquires, C9、C10、C11、C12For constant.
As shown in figure 4, left section molded line (101) is identical with the shape of right section molded line (201) and constituent curve；
In the work for synchronizing incorgruous dual AC power movement, left section molded line (101) engages feelings with the upper each section of curve of right section molded line (201)
Condition is：First junction curve AB is engaged with the conjugate curves bc of the second junction curve, the conjugate curves BC of the first junction curve with
Second junction curve ab engagements, left addendum circle arc CD are engaged with right tooth root circular arc fa, and left claw point elliptic arc DE is oval with right pawl point
The ef engagements of arc envelope, left claw point elliptic arc envelope EF are engaged with right pawl point elliptic arc de, left tooth root circular arc FA and right tooth top
Circular arc cd engagements.
As shown in figure 5, for the engagement line chart of first embodiment two screw rods rotor.First on left section molded line (101) connects
It meets curve AB to be meshed with the conjugate curves bc of the second junction curve on right section molded line (201), path of contact is the first tooth
Carry on the back path of contact lAB；The conjugate curves BC of the first junction curve on left section molded line (101) and the on right section molded line (201)
Two junction curve ab are meshed, and path of contact is the second back of tooth path of contact lBC；Left addendum circle arc CD on left section molded line (101)
It is meshed with the right tooth root circular arc fa on right section molded line (201), path of contact is outside circle path of contact lCD；Left section molded line
(101) the left claw point elliptic arc DE on is meshed with the right pawl point elliptic arc envelope ef on right section molded line (201), engagement
Line is crown path of contact lDE；On left claw point elliptic arc envelope EF and right section molded line (201) on left section molded line (101)
Right pawl point elliptic arc de is meshed, and path of contact is concave tooth path of contact lEF；Left tooth root circular arc FA on left section molded line (101) with
Right addendum circle arc cd on right section molded line (201) is meshed, and path of contact is root circle path of contact lFA；Two screw rods rotor has
Continuous path of contact.
As shown in fig. 6, for the space contact line figure on the left screw rotor of first embodiment (1).First rear flank contact line
LABIt is projected as the first back of tooth path of contact l in screw rotor sectionAB；Second rear flank contact line LBCIn screw rotor section
It is projected as the second back of tooth path of contact lBC；Crest top land contact line LCDIt is projected as outside circle path of contact l in screw rotor sectionCD；Tooth
Sharp face contact line LDEIt is projected as crown path of contact l in screw rotor sectionDE；Concave tooth face contact line LEFIn screw rotor section
Be projected as concave tooth path of contact lEF；Root face contact line LFAIt is projected as root circle path of contact l in screw rotor sectionFA；Screw rod
The space contact line of rotor is continuous and shorter, can effectively reduce operated adjacent intracavity gas letting out by space contact line
Leakage, and then improve the interstage seal performance of Twin-screw vacuum pump.
As shown in fig. 7, for the engagement figure of first embodiment two screw rods rotor.Left screw rotor (1) and right screw rotor (2)
It is unfolded to generate along the axis spiral of two screw rotors by corresponding section molded line respectively, is completely smooth between the adjacent flank of tooth
Connection；When two screw rotors synchronize incorgruous dual AC power movement, the at a fully engaged of the corresponding flank of tooth can be met, there is no interference
Or have neither part nor lot in the part of engagement.
It is above-mentioned although specific embodiments of the present invention are described with reference to the accompanying drawings, but not to this practicality newly
The limitation of type protection domain, those skilled in the art should understand that, based on the technical solution of the present invention, ability
Field technique personnel need not make the creative labor the various modifications or changes that can be made still in the protection model of the utility model
Within enclosing.
Claims (5)
1. a kind of screw rotor including elliptic arc, including left screw rotor (1) and right screw rotor (2), it is characterized in that：Left spiral shell
The left section molded line (101) of bar rotor (1) is made of 6 sections of curves, is followed successively by counterclockwise：First junction curve AB,
The conjugate curves BC of one junction curve, left addendum circle arc CD, left claw point elliptic arc DE, left claw point elliptic arc envelope EF, left tooth
Root circular arc FA is completely smooth connection between adjacent constituent curve；The right section molded line (201) of right screw rotor (2) is by 6 sections of curves
Composition, is followed successively by counterclockwise：Second junction curve ab, the conjugate curves bc of the second junction curve, right addendum circle arc cd,
Right pawl point elliptic arc de, right pawl point elliptic arc envelope ef, right tooth root circular arc fa, the company of being completely smooth between adjacent constituent curve
It connects；Left section molded line (101) is identical with the shape of right section molded line (201) and constituent curve；Synchronizing incorgruous dual AC power
In the work of movement, left section molded line (101) is with the situation that engages of the upper each section of curve of right section molded line (201)：First connection
Curve AB is engaged with the conjugate curves bc of the second junction curve, the conjugate curves BC of the first junction curve and the second junction curve ab
Engagement, left addendum circle arc CD are engaged with right tooth root circular arc fa, and left claw point elliptic arc DE is engaged with right pawl point elliptic arc envelope ef,
Left claw point elliptic arc envelope EF is engaged with right pawl point elliptic arc de, and left tooth root circular arc FA is engaged with right addendum circle arc cd；A left side is cut
First junction curve AB of face molded line (101) and the conjugate curves BC of the first junction curve includes two kinds of embodiments：First connection
Curve AB is elliptic arc, and the envelope that the conjugate curves BC of the first junction curve is elliptic arc；First junction curve AB is ellipse
The envelope of circular arc, and the conjugate curves BC of the first junction curve is elliptic arc.
2. a kind of screw rotor including elliptic arc as described in claim 1, it is characterized in that：Left section type in first embodiment
The first junction curve AB on line (101) is designed to that elliptic arc, the conjugate curves BC of the first junction curve are designed to elliptic arc
Envelope, curvilinear equation are as follows：
Molded line parameter includes：Pitch radius R2, fillet radius R3, the first elliptic arc major semiaxis length m1, the first elliptic arc it is short
Half shaft length n1, back of tooth central angle θ；
The equation of first junction curve AB is：
In formula：α=pi/2-θ/2；
The equation of the conjugate curves BC of first junction curve is：
In formula,For the first intermediate parameters, by
It acquires, C1、C2、C3、C4For constant.
3. a kind of screw rotor including elliptic arc as described in claim 1, it is characterized in that：Left section type in second embodiment
The first junction curve AB on line (101) is designed to that the envelope of elliptic arc, the conjugate curves BC of the first junction curve are designed to
Elliptic arc, curvilinear equation are as follows：
Molded line parameter includes：Addendum circle arc radius R1, pitch radius R2, the second elliptic arc major semiaxis length m2, the second elliptic arc it is short
Half shaft length n2, back of tooth central angle θ；
The equation of the conjugate curves BC of first junction curve is：
In formula：α=pi/2-θ/2；
The equation of first junction curve AB is：
In formula,For the second intermediate parameters, by
It acquires, C5、C6、C7、C8For constant.
4. a kind of screw rotor including elliptic arc as described in claim 1, it is characterized in that：A left side for left screw rotor (1) is cut
The curvilinear equation of the constituent curve left claw point elliptic arc DE and left claw point elliptic arc envelope EF of face molded line (101) are as follows：
Molded line parameter includes：Addendum circle arc radius R1, pitch radius R2, third elliptic arc major semiaxis length m3, third elliptic arc it is short
Half shaft length n3, rotation angle γ；
The equation of left claw point elliptic arc DE is：
The equation of left claw point elliptic arc envelope EF is：
In formula：M1For rotational transformation matrix,For initial pawl point elliptic arc envelope：
M1It indicates initial pawl point elliptic arc envelope around left section molded line center O1Rotation γ angles counterclockwise, rotation angle γ
It is determined by following equation：
In formula：For third intermediate parameters, byIt asks
, C9、C10、C11、C12For constant.
5. a kind of Twin-screw vacuum pump, it is characterized in that：Use a kind of screw rod comprising elliptic arc turn as described in claim 1
Son.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201820098504.5U CN207864159U (en) | 2018-01-22 | 2018-01-22 | A kind of screw rotor including elliptic arc |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201820098504.5U CN207864159U (en) | 2018-01-22 | 2018-01-22 | A kind of screw rotor including elliptic arc |
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| Publication Number | Publication Date |
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| CN207864159U true CN207864159U (en) | 2018-09-14 |
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| Application Number | Title | Priority Date | Filing Date |
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| CN201820098504.5U Withdrawn - After Issue CN207864159U (en) | 2018-01-22 | 2018-01-22 | A kind of screw rotor including elliptic arc |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108019348A (en) * | 2018-01-22 | 2018-05-11 | 中国石油大学(华东) | A kind of screw rotor for including elliptic arc |
-
2018
- 2018-01-22 CN CN201820098504.5U patent/CN207864159U/en not_active Withdrawn - After Issue
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108019348A (en) * | 2018-01-22 | 2018-05-11 | 中国石油大学(华东) | A kind of screw rotor for including elliptic arc |
| CN108019348B (en) * | 2018-01-22 | 2023-11-24 | 中国石油大学(华东) | Screw rotor comprising elliptical arcs |
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