CN108757464A - A kind of straight pawl rotor and its Profile Design method of claw vacuum pump - Google Patents
A kind of straight pawl rotor and its Profile Design method of claw vacuum pump Download PDFInfo
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- CN108757464A CN108757464A CN201810825781.6A CN201810825781A CN108757464A CN 108757464 A CN108757464 A CN 108757464A CN 201810825781 A CN201810825781 A CN 201810825781A CN 108757464 A CN108757464 A CN 108757464A
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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
- F04C25/00—Adaptations of pumps for special use of pumps for elastic fluids
- F04C25/02—Adaptations of pumps for special use of pumps for elastic fluids for producing high vacuum
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
- F04C18/00—Rotary-piston pumps specially adapted for elastic fluids
- F04C18/08—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing
- F04C18/12—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type
- F04C18/123—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type with radially or approximately radially from the rotor body extending tooth-like elements, co-operating with recesses in the other rotor, e.g. one tooth
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
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Abstract
The invention discloses the straight pawl rotors and its Profile Design method of a kind of claw vacuum pump；The rotor is made of 11 sections of curves：The envelope of 4 sections of circular arcs, 2 sections of elliptic arcs, 2 sections of elliptic arc envelopes, the equidistant curve of 1 section of cycloid, 1 section of line segment and 1 section of line segment；The rotor builds molded line at pawl top, pawl point using the envelope of elliptic arc and elliptic arc, molded line is built using the equidistant curve of circular arc and cycloid in pawl bottom, it is smoothly connected between adjacent curve, there is no rough tie points, improve mechanical property, meshing performance and the sealing performance of straight pawl rotor；Intermeshing 2 rotors are identical and can realize the correct engagement of molded line；The rotor has smaller clearance volume, improves the compression ratio of claw vacuum pump；More flat at pawl top, engagement range is big, engages line length, further reduces abrasion；The rotor enriches the molded line type of claw rotor and promotes the development of claw vacuum pump.
Description
Technical field
The present invention relates to claw vacuum pump, more particularly to the straight pawl rotor of a kind of claw vacuum pump and its Profile Design side
Method.
Background technology
Claw vacuum pump is that one kind suffering from widely applied dry vacuum pump in petrochemical industry, medicine, food are multi-field, is had
Have it is simple in structure, operate steadily, low noise the advantages of；Claw rotor is the core component of claw vacuum pump, and claw rotor is by one
To that can realize the rotor composition of conjugation engagement, realizes that the incorgruous dual AC power that synchronizes of rotor moves by synchromesh gear, realize work
The sucking, compression and discharge process of gas are completed in the cyclically-varying for making chamber volume, achieve the purpose that constantly to vacuumize.
The composition molded line and meshing performance of claw rotor directly determine the performance of claw vacuum pump, common straight pawl
Molded lines of rotor is made of the envelope of 3 sections of circular arcs, 2 sections of cycloids, 1 section of line segment and 1 section of line segment, and straight pawl rotor uses one at pawl arm
Section line segment connection, improves the mechanical property of pawl arm, reduces the stress concentration at pawl arm, but there are at 3 for the molded lines of rotor
Cusp causes the mechanical property of straight pawl rotor and sealing performance poor；To improve the performance of common straight pawl rotor, Chinese patent
(the patent No.：ZL201610880226.4 a kind of complete smooth straight pawl claw rotor) is proposed, the molded lines of rotor is by 6 sections of circular arcs, 2
The envelope composition of the epicycloidal equidistant curve of segment length, the equidistant curve of 1 section of curtate epicycloid, 1 section of line segment and 1 section of line segment,
Being smoothly connected between all curves is realized, cusp is not present, improves the sealing performance, mechanical property and engagement property of rotor
Energy；But this to straight pawl rotor intermeshing when, due to the presence of clearance volume, reduce the efficiency of claw vacuum pump, together
When, although by pawl point circular arc instead of cusp at pawl top, engagement range is still not flat enough, and path of contact is shorter, can still lead
Cause a degree of abrasion.
Invention content
The present invention reduces the compression power consumption of vacuum pump to further decrease the clearance volume of straight pawl rotor, while in order to
Reduce the abrasion at pawl top, enriches the molded line type of straight pawl rotor, it is proposed that a kind of straight pawl rotor and its type of claw vacuum pump
Line design method；The present invention builds straight pawl using the equidistant curve of the envelope and circular arc and cycloid of elliptic arc and elliptic arc and turns
Subtype line realizes being smoothly connected between all curves, and cusp is not present, and effectively prevents generating abrasion, deformation and stress
The region of concentration, while improving the sealing performance, mechanical property and meshing performance of rotor；1 section of elliptic arc is used at pawl top
Pawl tip circle arc and pitch circle circular arc are connected, compares circular sliding slopes, elliptic arc connects so that more flat at pawl top, and engagement range
Greatly, path of contact is longer, reduces the abrasion at pawl top；Pawl tip circle arc and pawl bottom circle are connected with elliptic arc envelope using elliptic arc
Arc effectively reduces the clearance volume generated when working rotor, and it is true to improve claw while reducing vacuum pump compression power consumption
The compression ratio of sky pump；Therefore, which improves the performance and used life of rotor, and rotor is enable to turn suitable for higher
The use occasion of speed, higher pressure and higher temperature, for enriching claw-type rotor profile type and promoting the hair of claw vacuum pump
Exhibition all has great importance.
To achieve the goals above, the present invention adopts the following technical scheme that：
A kind of straight pawl rotor of claw vacuum pump, including：Left straight pawl rotor (1) and right straight pawl rotor (2), it is characterized in that：
The composition molded line of left straight pawl rotor (1) includes 11 sections of curves, is followed successively by counterclockwise：The first elliptic arc envelope AB of a left side,
The first elliptic arc BC of a left side, left claw tip circle arc CD, the second elliptic arc DE of a left side, the equidistant curve EF of left swing line, left line segment FG, left pitch circle
Circular arc GH, the envelope HI of left line segment, left claw point circular arc IJ, a left side the second elliptic arc envelope JK and left claw bottom circular arc KA；It is adjacent
It is smoothly connected between curve, rough tie point is not present；The composition molded line of left straight pawl rotor (1) and right straight pawl rotor
(2) composition molded line is identical；In the course of work for synchronizing incorgruous dual AC power movement, the composing type of left straight pawl rotor (1)
Line and the composition molded line of right straight pawl rotor (2) can realize it is correct engage, and meshing relation is：The group of left straight pawl rotor (1)
A left side the first elliptic arc envelope AB, the first elliptic arc BC of a left side in form wire, left claw tip circle arc CD, the second elliptic arc DE of a left side, a left side
The equidistant curve EF of cycloid, left line segment FG, left pitch circle circular arc GH, the envelope HI of left line segment, left claw point circular arc IJ, a left side second are ellipse
Arc envelope line JK and left claw bottom circular arc KA, respectively with the right side the first elliptic arc bc in the composition molded line of right straight pawl rotor (2), the right side
The packet of first elliptic arc envelope ab, right pawl bottom circular arc ka, the second elliptic arc envelope jk of the right side, right pawl point circular arc ij, right line segment
Winding thread hi, right pitch circle circular arc gh, right line segment fg, the equidistant curve ef of right cycloid, the second elliptic arc de of the right side and right pawl tip circle arc cd
It is meshed.
A kind of Profile Design method of the straight pawl rotor of claw vacuum pump, includes the following steps：
1) using origin O as the center of circle, it is R to make radius respectively1Pawl tip circle, radius R2Pitch circle and radius be R3Pawl bottom
Circle；
2) make the first initial elliptic arcEquation is：
In formula：m1For the first initial elliptic arc major semiaxis length, n1For the first initial elliptic arc semi-minor axis length；
Make the first initial elliptic arc envelopeEquation is：
In formula：
3) the first rotation angle α is solved, is determined by following equation：
First initial elliptic arcAround origin O, the first rotation angle α of rotation obtains the first elliptic arc BC of a left side counterclockwise,
Equation is：
In formula：MBCIt is as follows for the first rotational transformation matrix：
First initial elliptic arc envelopeRotating clockwise the first rotation angle α around origin O, to obtain a left side first ellipse
Arc envelope line AB, equation are：
In formula：MABIt is as follows for the second rotational transformation matrix：
4) make the second initial elliptic arcEquation is：
In formula：m2For the second initial elliptic arc major semiaxis length, n2For the second initial elliptic arc semi-minor axis length；
Make the second initial elliptic arc envelopeEquation is：
In formula：
5) pawl tip circle arc angle β, the second initial elliptic arc are givenAlpha+beta is rotated counterclockwise around origin O obtains a left side second
Elliptic arc DE, equation are：
In formula：MDEIt is as follows for third rotational transformation matrix：
Second initial elliptic arc envelopeAlpha+beta, which is rotated clockwise, around origin O obtains left second elliptic arc envelope
JK, equation are：
In formula：MJKIt is as follows for the 4th rotational transformation matrix：
6) make the common tangent E ' G of pitch circle and the second elliptic arc DE of a left side, and the second rotation angle is determined according to common tangent E ' G
γ；
7) make the envelope of initial segmentEquation is：
The envelope of initial segmentAlpha+beta+γ, which is rotated clockwise, around origin O obtains the envelope HI of left line segment, side
Cheng Wei：
In formula：MHIIt is as follows for the 5th rotational transformation matrix：
8) make the equidistant curve of initial cycloidEquation is：
Wherein, matrixR4For left claw point circular arc IJ radiuses；
9) equidistant curve of initial cycloidThe equidistant curve EF of left swing line is obtained around origin O rotation alpha+ζ counterclockwise,
Equation is：
In formula：MEFIt is as follows for the 6th rotational transformation matrix：
Third rotation angle ζ is determined by following formula：
Wherein, coordinate (x1,y1) be following two curves intersection point：
More than：T-angle parameter, rad.
Beneficial effects of the present invention are：
1. the straight pawl rotor proposed connects pawl tip circle arc and pitch circle circle using elliptic arc at pawl top as molded lines of rotor
Arc so that it is more flat at pawl top, and engagement range is big, engages line length, can effectively reduce at pawl top during the work time
Abrasion；
2. the straight pawl rotor proposed is using elliptic arc and elliptic arc envelope connection pawl tip circle arc and pawl bottom circular arc, effectively
It reduces two straight pawl rotors in the course of work and is formed by clearance volume, to reduce compression power consumption, improve vacuum pump
Compression ratio；
3. the straight pawl rotor proposed realizes being smoothly connected between all curves, cusp is not present, effectively prevents
Abrasion, deformation and stress concentration, while improving sealing performance, mechanical property and the engagement of the vacuum pump using the straight pawl rotor
Performance；
4. enriching the molded line type of straight pawl rotor.
Description of the drawings
Fig. 1 is a kind of molded lines of the straight pawl rotor of the claw vacuum pump proposed.
Fig. 2 is a kind of molded line generation figure of the left rotor of the straight pawl rotor of the claw vacuum pump proposed.
Fig. 3 is a kind of engagement figure of the straight pawl rotor of the claw vacuum pump proposed.
Fig. 4 is to engage figure with a kind of be staggered 50 ° of the straight pawl rotors of claw vacuum pump for being proposed of Fig. 3.
Fig. 5 is a kind of molded lines of existing complete smooth straight pawl claw rotor.
Fig. 6 is a kind of clearance volume figure of the straight pawl rotor of the claw vacuum pump proposed during the work time.
Fig. 7 is a kind of clearance volume figure of existing complete smooth straight pawl claw rotor during the work time.
Fig. 8 is a kind of clearance volume of the another location of the straight pawl rotor of the claw vacuum pump proposed during the work time
Figure.
Fig. 9 is a kind of clearance volume of the another location of existing complete smooth straight pawl claw rotor during the work time
Figure.
Figure 10 is a kind of composition molded lines of the straight pawl rotor of the claw vacuum pump proposed at pawl top.
Figure 11 is a kind of composition molded lines of the existing complete smooth straight pawl claw rotor at pawl top.
Figure 12 is the molded lines of common straight pawl rotor.
In figure：R1For pawl tip circle arc radius；R2For pitch radius；R3For pawl bottom arc radius；m1For the first initial elliptic arc
Major semiaxis length；n1For the first initial elliptic arc semi-minor axis length；m2For the second initial elliptic arc major semiaxis length；n2It is second
Initial elliptic arc semi-minor axis length；R4For pawl point arc radius；α is the first rotation angle；β is pawl tip circle arc angle；γ is second
Rotation angle；ζ is third rotation angle；1, the 2 straight pawl rotor to be proposed.
Specific implementation mode
The invention will be further described with embodiment below in conjunction with the accompanying drawings.
As shown in Figure 1, the molded lines of the straight pawl rotor for a kind of claw vacuum pump proposed turns counterclockwise
Subtype line is followed successively by：First elliptic arc envelope AB, the first elliptic arc BC, pawl tip circle arc CD, the second elliptic arc DE, cycloid etc.
Away from curve EF, line segment FG, pitch circle circular arc GH, the envelope HI of line segment, pawl point circular arc IJ, the second elliptic arc envelope JK and pawl bottom
Circular arc KA；It is smoothly connected between adjacent curve, rough tie point is not present；Improve straight pawl rotor mechanical property,
Meshing performance and sealing performance.
As shown in Fig. 2, the molded line generation figure of the left rotor for a kind of straight pawl rotor of the claw vacuum pump proposed, turn
The generation method of subtype line is as follows：
1) using origin O as the center of circle, it is R to make radius respectively1Pawl tip circle, radius R2Pitch circle and radius be R3Pawl bottom
Circle；
2) make the first initial elliptic arcEquation is：
Make the first initial elliptic arc envelopeEquation is：
In formula：
3) the first initial elliptic arcAround origin O, the first rotation angle α of rotation obtains left first elliptic arc counterclockwise
BC, equation are：
In formula：MBCIt is as follows for the first rotational transformation matrix：
First initial elliptic arc envelopeRotating clockwise the first rotation angle α around origin O, to obtain a left side first ellipse
Arc envelope line AB, equation are：
In formula：MABIt is as follows for the second rotational transformation matrix：
The first rotation angle α is solved, is determined by following equation：
4) make the second initial elliptic arcEquation is：
Make the second initial elliptic arc envelopeEquation is：
In formula：
5) pawl tip circle arc angle β, the second initial elliptic arc are givenAlpha+beta is rotated counterclockwise around origin O obtains a left side second
Elliptic arc DE, equation are：
In formula：MDEIt is as follows for third rotational transformation matrix：
Second initial elliptic arc envelopeAlpha+beta, which is rotated clockwise, around origin O obtains left second elliptic arc envelope
JK, equation are：
In formula：MJKIt is as follows for the 4th rotational transformation matrix：
6) make the common tangent E ' G of pitch circle and the second elliptic arc DE of a left side, and the second rotation angle is determined according to common tangent E ' G
γ；
7) make the envelope of initial segmentEquation is：
The envelope of initial segmentAlpha+beta+γ, which is rotated clockwise, around origin O obtains the envelope HI of left line segment, equation
For：
In formula：MHIIt is as follows for the 5th rotational transformation matrix：
8) make the equidistant curve of initial cycloidEquation is：
Wherein, matrixR4For left claw point circular arc IJ radiuses；
9) equidistant curve of initial cycloidThe equidistant curve EF of left swing line is obtained around origin O rotation alpha+ζ counterclockwise,
Equation is：
In formula：MEFIt is as follows for the 6th rotational transformation matrix：
Third rotation angle ζ is determined by following formula：
Wherein, coordinate (x1,y1) be following two curves intersection point：
More than：T-angle parameter, rad.
As shown in Figure 3, Figure 4, it is a kind of engagement of the straight pawl rotor of the claw vacuum pump proposed each molded line at work
Figure；Angle of eccentricity corresponding to Fig. 3, Fig. 4 is staggered 50 °, i.e. Fig. 3 to Fig. 4, and left straight pawl rotor (1) rotates clockwise 50 °, right straight
Pawl rotor (2) 50 ° of rotation counterclockwise；In figure 3, a left side the first elliptic arc envelope AB in left straight pawl rotor (1), left claw bottom circle
Arc KA, the second elliptic arc envelope JK of a left side and left claw point circular arc IJ respectively with the first elliptic arc of the right side in right straight pawl rotor (2)
Bc, right pawl tip circle arc cd, the second elliptic arc de of the right side and right cycloid equidistant curve ef be meshed, in Fig. 4, left straight pawl rotor
(1) the equidistant curve EF of a left side the first elliptic arc BC, left claw tip circle arc CD, the second elliptic arc DE of a left side and left swing line in respectively with the right side
The right side the first elliptic arc envelope ab, right pawl bottom circular arc ka, the second elliptic arc envelope jk of the right side and right pawl point in straight pawl rotor (2)
Circular arc ij is meshed；Except as shown in the figure, the residual curve of left straight pawl rotor (1) and the residual curve of right directly pawl rotor (2) are mutually nibbled
It closes.
As shown in figure 5, a kind of complete smooth straight pawl claw rotor, molded line include 11 sections of curves, counterclockwise according to
It is secondary to be：Pitch circle circular arc GH, the envelope HI of line segment, third pawl point circular arc IJ, the equidistant curve JK of cycloid, pawl bottom circular arc KA, pendulum
The equidistant curve EF and line of the equidistant curve AB of line, the first pawl point circular arc BC, pawl tip circle arc CD, the second pawl point circular arc DE, cycloid
Section FG, realizes between adjacent curve and is smoothly connected, and rough tie point is not present.
As shown in Figure 6, Figure 7, a kind of straight pawl rotor of claw vacuum pump to be proposed is formed remaining during the work time
Gap volume and a kind of clearance volume that complete smooth straight pawl claw rotor is formed during the work time, the two is inhaled, exhaust outlet opens up
Unanimously, pawl tip circle arc angle is equal, and the semi-minor axis length of each elliptic arc is equal with each pawl point arc radius；The presence of clearance volume
The part in discharge chamber can be caused to cannot exclude and stayed in clearance volume by compressed gas, lead to the waste of compression power consumption,
Reduce the working efficiency of claw vacuum pump；Since a kind of straight pawl rotor of claw vacuum pump proposed in Fig. 6 is worked
A kind of clearance volume in the journey clearance volume smaller of complete smooth straight pawl claw rotor during the work time compared in Fig. 7, so,
The straight pawl rotor proposed has the compression ratio of smaller compression power consumption, higher working efficiency and bigger.
As shown in Figure 8, Figure 9, the another one for a kind of straight pawl rotor of the claw vacuum pump proposed during the work time
A kind of clearance volume of the another location of the clearance volume and complete smooth straight pawl claw rotor set during the work time, the two
Suction, exhaust outlet open up unanimously, and pawl tip circle arc angle is equal, and the semi-minor axis length of each elliptic arc is equal with each pawl point arc radius；
Since a kind of clearance volume of the straight pawl rotor in figure at position of claw vacuum pump proposed in Fig. 8 is a kind of complete compared in Fig. 9
Clearance volume smaller of the smooth straight pawl claw rotor in figure at position, so, the straight pawl rotor proposed has smaller
The compression ratio of compression power consumption, higher working efficiency and bigger.
As shown in Figure 10, Figure 11, a kind of composition of the straight pawl rotor of the claw vacuum pump respectively proposed at pawl top
A kind of composition molded line of molded line and complete smooth claw rotor at pawl top；As seen from the figure, pawl tip circle arc angle is identical, each ellipse
In the case that the semi-minor axis length of arc is equal with each pawl point arc radius, adopted at pawl top compared to complete smooth straight pawl claw rotor
Circular arc is used as the amendment molded line of cusp, the straight pawl rotor proposed at pawl top due to using amendment of the elliptic arc as cusp
Molded line so that more flat at pawl top, the molded line range for participating in engagement is big, and path of contact is longer, effectively reduces the mill at pawl top
Damage.
As shown in figure 12, common straight pawl molded lines of rotor is by 3 sections of circular arcs, the envelope of 2 sections of cycloids, 1 section of line segment and 1 section of line segment
Line forms, and is followed successively by counterclockwise：Cycloid AB, pawl tip circle arc BC, cycloid CD, pitch circle circular arc DE, line segment envelope EF,
Cycloid FG and pawl bottom circular arc GA；Wherein tie point B points, C points and F points are rough tie point, i.e. cusp；The presence of cusp is easily led
The region is caused to generate abrasion, deformation, stress concentration and leakage phenomenon；Since a kind of straight pawl of the claw vacuum pump proposed turns
Son uses elliptic arc amendment in B points, C points, and circular arc amendment is used in F points, realizes the complete of all curves and is smoothly connected, makes
The engaging of common straight pawl rotor midpoint and curve becomes engaging for curve and curve, effectively prevent wearing at cusp, deform,
The appearance of stress concentration, and reduce leakage rate.
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 (2)
1. a kind of straight pawl rotor of claw vacuum pump, including：Left straight pawl rotor (1) and right straight pawl rotor (2), it is characterized in that：It is left
The composition molded line of straight pawl rotor (1) includes 11 sections of curves, is followed successively by counterclockwise：The first elliptic arc envelope AB of a left side, a left side
First elliptic arc BC, left claw tip circle arc CD, the second elliptic arc DE of a left side, the equidistant curve EF of left swing line, left line segment FG, left pitch circle circle
Arc GH, the envelope HI of left line segment, left claw point circular arc IJ, a left side the second elliptic arc envelope JK and left claw bottom circular arc KA；Adjacent song
It is smoothly connected between line, rough tie point is not present；The composition molded line of left straight pawl rotor (1) and right straight pawl rotor (2)
Composition molded line it is identical；In the course of work for synchronizing the movement of incorgruous dual AC power, the composition molded line of left straight pawl rotor (1) with
The composition molded line of right straight pawl rotor (2) can realize correct engagement, and meshing relation is：The composing type of left straight pawl rotor (1)
A left side the first elliptic arc envelope AB, the first elliptic arc BC of a left side, left claw tip circle arc CD, the second elliptic arc DE of a left side, left swing line in line
Equidistant curve EF, left line segment FG, left pitch circle circular arc GH, the envelope HI of left line segment, left claw point circular arc IJ, left second elliptic arc
Envelope JK and left claw bottom circular arc KA, respectively in the composition molded line of right straight pawl rotor (2) right side first elliptic arc bc, right first
The envelope of elliptic arc envelope ab, right pawl bottom circular arc ka, the second elliptic arc envelope jk of the right side, right pawl point circular arc ij, right line segment
Hi, right pitch circle circular arc gh, right line segment fg, the equidistant curve ef of right cycloid, the second elliptic arc de of the right side are nibbled with right pawl tip circle arc cd phases
It closes.
2. a kind of Profile Design method of the straight pawl rotor of claw vacuum pump as described in claim 1, it is characterized in that：Including with
Lower step：
1) using origin O as the center of circle, it is R to make radius respectively1Pawl tip circle, radius R2Pitch circle and radius be R3Pawl bottom circle；
2) make the first initial elliptic arcEquation is：
In formula：m1For the first initial elliptic arc major semiaxis length, n1For the first initial elliptic arc semi-minor axis length；
Make the first initial elliptic arc envelopeEquation is：
In formula：
3) the first initial elliptic arcAround origin O, the first rotation angle α of rotation obtains the first elliptic arc BC of a left side counterclockwise, side
Cheng Wei：
In formula：MBCIt is as follows for the first rotational transformation matrix：
First initial elliptic arc envelopeThe first rotation angle α, which is rotated clockwise, around origin O obtains left first elliptic arc packet
Winding thread AB, equation are：
In formula：MABIt is as follows for the second rotational transformation matrix：
The first rotation angle α is solved, is determined by following equation：
4) make the second initial elliptic arcEquation is：
In formula：m2For the second initial elliptic arc major semiaxis length, n2For the second initial elliptic arc semi-minor axis length；
Make the second initial elliptic arc envelopeEquation is：
In formula：
5) pawl tip circle arc angle β, the second initial elliptic arc are givenAlpha+beta is rotated counterclockwise around origin O obtains left second elliptic arc
DE, equation are：
In formula：MDEIt is as follows for third rotational transformation matrix：
Second initial elliptic arc envelopeAlpha+beta, which is rotated clockwise, around origin O obtains the second elliptic arc envelope JK of a left side, side
Cheng Wei：
In formula：MJKIt is as follows for the 4th rotational transformation matrix：
6) make the common tangent E ' G of pitch circle and the second elliptic arc DE of a left side, and the second rotation angle γ is determined according to common tangent E ' G；
7) make the envelope of initial segmentEquation is：
The envelope of initial segmentAlpha+beta+γ is rotated clockwise around origin O and obtains the envelope HI of left line segment, and equation is：
In formula：MHIIt is as follows for the 5th rotational transformation matrix：
8) make the equidistant curve of initial cycloidEquation is：
Wherein, matrixR4For left claw point circular arc IJ radiuses；
9) equidistant curve of initial cycloidThe equidistant curve EF of left swing line, equation are obtained around origin O rotation alpha+ζ counterclockwise
For：
In formula：MEFIt is as follows for the 6th rotational transformation matrix：
Third rotation angle ζ is determined by following formula：
Wherein, coordinate (x1,y1) be following two curves intersection point：
More than：T-angle parameter, rad.
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| CN201810825781.6A CN108757464B (en) | 2018-07-25 | 2018-07-25 | Straight claw rotor of claw type vacuum pump and molded line design method thereof |
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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109465933A (en) * | 2018-12-29 | 2019-03-15 | 佛山市顺德区鑫宏天机械制造有限公司 | A kind of drilling digital controlled material cutting machine up and down without turnover panel |
| CN113779721A (en) * | 2021-09-08 | 2021-12-10 | 浙江理工大学 | Special claw type vacuum pump molded line design method based on envelope surface correction |
| CN113836687A (en) * | 2021-05-20 | 2021-12-24 | 北京工业大学 | Design method for combined cylinder profile of triangular rotor engine |
| CN114658656A (en) * | 2022-03-04 | 2022-06-24 | 中科仪(南通)半导体设备有限责任公司 | Straight claw type rotor profile for dry vacuum pump and design method thereof |
| CN115559901A (en) * | 2022-12-07 | 2023-01-03 | 中核第七研究设计院有限公司 | Claw type vacuum pump rotor and vacuum pump |
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| CN104929942A (en) * | 2015-07-09 | 2015-09-23 | 中国石油大学(华东) | Fully-meshed claw type rotor profile |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109465933A (en) * | 2018-12-29 | 2019-03-15 | 佛山市顺德区鑫宏天机械制造有限公司 | A kind of drilling digital controlled material cutting machine up and down without turnover panel |
| CN109465933B (en) * | 2018-12-29 | 2022-04-29 | 佛山市顺德区鑫宏天机械制造有限公司 | Up-down drilling numerical control cutting machine without turning plate |
| CN113836687A (en) * | 2021-05-20 | 2021-12-24 | 北京工业大学 | Design method for combined cylinder profile of triangular rotor engine |
| CN113836687B (en) * | 2021-05-20 | 2024-06-04 | 北京工业大学 | Triangular rotor engine combined cylinder molded line design method |
| CN113779721A (en) * | 2021-09-08 | 2021-12-10 | 浙江理工大学 | Special claw type vacuum pump molded line design method based on envelope surface correction |
| CN113779721B (en) * | 2021-09-08 | 2023-11-14 | 浙江理工大学 | Special claw type vacuum pump molded line design method based on envelope surface correction |
| CN114658656A (en) * | 2022-03-04 | 2022-06-24 | 中科仪(南通)半导体设备有限责任公司 | Straight claw type rotor profile for dry vacuum pump and design method thereof |
| CN114658656B (en) * | 2022-03-04 | 2024-05-24 | 中科仪(南通)半导体设备有限责任公司 | Straight claw type rotor for dry vacuum pump and design method thereof |
| CN115559901A (en) * | 2022-12-07 | 2023-01-03 | 中核第七研究设计院有限公司 | Claw type vacuum pump rotor and vacuum pump |
| CN115559901B (en) * | 2022-12-07 | 2023-03-24 | 中核第七研究设计院有限公司 | Claw type vacuum pump rotor and vacuum pump |
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