CN106640627B - A kind of Conic thread rod-bushing pair of equal area of passages - Google Patents
A kind of Conic thread rod-bushing pair of equal area of passages Download PDFInfo
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- CN106640627B CN106640627B CN201611254733.3A CN201611254733A CN106640627B CN 106640627 B CN106640627 B CN 106640627B CN 201611254733 A CN201611254733 A CN 201611254733A CN 106640627 B CN106640627 B CN 106640627B
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- Prior art keywords
- thread rod
- taper bush
- conic thread
- face
- conical
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Classifications
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
- F04C2/00—Rotary-piston machines or pumps
- F04C2/08—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing
- F04C2/10—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of internal-axis type with the outer member having more teeth or tooth-equivalents, e.g. rollers, than the inner member
- F04C2/107—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of internal-axis type with the outer member having more teeth or tooth-equivalents, e.g. rollers, than the inner member with helical teeth
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
- F04C2/00—Rotary-piston machines or pumps
- F04C2/08—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing
- F04C2/10—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of internal-axis type with the outer member having more teeth or tooth-equivalents, e.g. rollers, than the inner member
- F04C2/107—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of internal-axis type with the outer member having more teeth or tooth-equivalents, e.g. rollers, than the inner member with helical teeth
- F04C2/1071—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of internal-axis type with the outer member having more teeth or tooth-equivalents, e.g. rollers, than the inner member with helical teeth the inner and outer member having a different number of threads and one of the two being made of elastic materials, e.g. Moineau type
- F04C2/1073—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of internal-axis type with the outer member having more teeth or tooth-equivalents, e.g. rollers, than the inner member with helical teeth the inner and outer member having a different number of threads and one of the two being made of elastic materials, e.g. Moineau type where one member is stationary while the other member rotates and orbits
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
- F04C2/00—Rotary-piston machines or pumps
- F04C2/08—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing
- F04C2/10—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of internal-axis type with the outer member having more teeth or tooth-equivalents, e.g. rollers, than the inner member
- F04C2/107—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of internal-axis type with the outer member having more teeth or tooth-equivalents, e.g. rollers, than the inner member with helical teeth
- F04C2/1071—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of internal-axis type with the outer member having more teeth or tooth-equivalents, e.g. rollers, than the inner member with helical teeth the inner and outer member having a different number of threads and one of the two being made of elastic materials, e.g. Moineau type
- F04C2/1073—Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of internal-axis type with the outer member having more teeth or tooth-equivalents, e.g. rollers, than the inner member with helical teeth the inner and outer member having a different number of threads and one of the two being made of elastic materials, e.g. Moineau type where one member is stationary while the other member rotates and orbits
- F04C2/1075—Construction of the stationary member
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- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- General Engineering & Computer Science (AREA)
- Rotary Pumps (AREA)
- Structures Of Non-Positive Displacement Pumps (AREA)
Abstract
The invention discloses a kind of Conic thread rod bushing pairs of equal area of passages, belong to single-screw (single screw) pump application field, taper bush includes taper bush negative camber, taper bush large end face, taper bush small end face and taper bush external cylindrical surface；The arrival end of conical screw large end face and taper bush large end face composition Conic thread rod bushing pair；The outlet end of conical screw small end face and taper bush small end face composition Conic thread rod bushing pair.The area of passage in a certain section of Conic thread rod bushing pair is defined as the difference of the taper bush negative camber area in the section and the area of conical screw positive camber.The equal area of passages feature of Conic thread rod bushing pair and vessels feature is waited to be conducive to improve the discharge capacity of single head Conic thread rod pump, reduce pressure fluctuation, keep flow more steady, and rise from arrival end to outlet pressures relatively small, relative sliding velocity is low during the motion, reduces abrasion and prolongs the service life.
Description
Technical field
The present invention relates to single-screw (single screw) pump application field more particularly to a kind of curved surface forming method of Conic thread rod-bushing pair, energy
The very sticky medium of enough conveyings, the All Media containing water, the medium containing gas, Jie containing fibre object and solid particle
Matter etc. can be applied to the fields such as oil, chemical industry, pharmacy.
Background technology
Widely applied traditional Conic thread rod-bushing pair is mostly that vessel reduces structure, Conic thread rod in single head Conic thread rod pump
It is intermeshed to form the sealed chamber that several volumes are gradually reduced with bushing, as Conic thread rod rotates in bushing, working media
Outlet end is constantly transported to by the arrival end of Conic thread rod-bushing pair.Exist in some current existing Conic thread rod-bushing pairs many
Defect and problem.In 103775334 A of patent document CN 103883522 A and patent document CN, the Conic thread rod of proposition serves as a contrast
The area of passage in the secondary each section from arrival end to outlet end of set constantly reduces, and the volume of each vessel is reduced rapidly therewith,
The discharge capacity for resulting in pump is smaller, and pressure fluctuation is big between each chamber, and flow is unstable, seriously affects the normal work of pump and uses the longevity
Life.In 2010100134 A2 of patent document WO, it is proposed that wait the Conic thread rod bushing pair of vessels, the volume of its each vessel
It is equal, its implementation is by a series of combination by parameters such as eccentricities, root diameters so that each vessel
Volume is equal, however this Conic thread rod bushing pair area of passage in each section from arrival end to outlet end be it is non-constant, this
Sample increases the uneven stability of flow, while the surface side of specific Conic thread rod and taper bush is not provided in the patent
Journey has no idea to be processed manufacture, affects the popularization and use of Conic thread rod pump.
Therefore, the present invention provides a kind of Conic thread rod-bushing pairs of equal area of passages so that Conic thread rod-bushing pair is each
The area of passage in section is kept constant, i.e., identical as the area of passage of arrival end, and then the volume of each vessel is equal, increases
The discharge capacity of pump, reduces the pressure fluctuation between each chamber, increases the stationarity of flow, and from suction side to discharge side pressure
Power rising is relatively small, and relative sliding velocity is low during the motion, so abrasion can be reduced effectively, prolongs the service life.This
The surface equation of specific Conic thread rod and taper bush is gone back while being given in invention, not only contributes to promote Conic thread rod bushing pair
Theoretical research is more advantageous to the popularization and use of Conic thread rod pump.For single head column screw rod-bushing pair of equal chambers, when
When wearing, the performances such as discharge capacity of pump can be declined, and in view of the conical by its shape of Conic thread rod, rotor or bushing can exist
Axis moves up a small distance, so that it may so that the volume of each vessel is equal again, improve the various aspects of performance of pump, reduce
The frequency of more exchanging rotor or bushing, has saved cost.And it is directed to different pumped (conveying) mediums, it can be by rationally designing taper
Etc. parameters, make being optimal of performance.
Invention content
For drawbacks described above existing for existing Conic thread rod-bushing pair, the present invention provides one kind have equal area of passages and
Huge discharge single head Conic thread rod-bushing pair of equal vessels feature, to achieve the above object, the technical solution adopted by the present invention are one kind
Conic thread rod-bushing pair comprising conical screw, taper bush；Conical screw includes conical screw positive camber, conical screw big end
Face, conical screw small end face；Taper bush include taper bush negative camber, taper bush large end face, taper bush small end face and
Taper bush external cylindrical surface；The arrival end of the conical screw large end face and taper bush large end face composition Conic thread rod-bushing pair；
The outlet end of the conical screw small end face and taper bush small end face composition Conic thread rod-bushing pair.
Based on the curved surface forming method of traditional Conic thread rod-bushing pair, the song of the novel single head Conic thread rod-bushing pair proposed
Face manufacturing process includes：The manufacturing process of the manufacturing process and S2 taper bush curved surface 16 of S1 conical screws curved surface 9.
The curved surface forming method of S1 conical screws curved surface 9；
S1.1 tradition Conic thread rod surface equations and area of passage；
The shape of conventional single-ended Conic thread rod can describe in this way：Using the vertex of a cone of a cylindro-conical helix as the centre of sphere make it is a series of not
With the concentric spherical of radius, spherical surface circle, radius and spherical surface are taken as the center of circle on the spherical surface using the intersection point of spherical surface and helix
Radius is linear.The gabarit that these spherical surfaces are formed is Conic thread rod curved surface, as shown in Figure 2.Above-mentioned cylindro-conical helix is
Center of circle cylindro-conical helix, where the conical surface be known as the base cone of rotor, the vertex of a cone of base cone is known as pole.If these spherical surfaces are justified
Piece moves in the spherical surface of its own, its center of circle is made to move to base cone center line up, then these spherical surface disks form one with pole
A circular cone, the circular cone are known as generating cone.If the screw pitch of center of circle cylindro-conical helix is t, base cone semi-cone angle is ξ, generating cone semi-cone angle
For θ.
Traditional Conic thread rod surface equation is
The parameter beta in formula is enabled to change within the scope of 0~2 π, what is obtained is the coordinate in a certain spherical surface round week；Allow ginseng again
Number α variations then obtain the equation in coordinates of upper each point of different spherical surface round weeks, and these circles constitute Conic thread rod surface in space, because
This, formula (1) namely Conic thread rod surface equation.
The spherical surface for being ρ with radius cuts traditional Conic thread rod and bushing, respectively obtains the section of spherical surface circle and spherical surface oblong, then
The difference of the area of gained spherical surface oblong and spherical surface circle is the area of passage at the section that radius is ρ, then area of passage S is
S=SSet-SBar=4 ρ2The ρ of η sin θs=82ξsinθ (2)
The curved surface forming method of the area of passages Conic thread rod such as S1.2
In order to increase discharge capacity, the area of passage S in each ball section is made to be consistently equal to traditional Conic thread rod-bushing pair large end face
Area of passage, i.e. S=8 ρ2ξ sin θs are constant, then
By 0 °<θ<90 °
And for the center of circle cylindro-conical helix of some determination, base cone semi-cone angle ξ is constant, therefore θ can be by formula (3)
It determines, and is only determined by radius ρ.Each spherical radius ρiA corresponding angle, θi, so that it may so that the area of passage in each ball section
S keeps constant value A0, and then keep each vessel volume equal, increase the discharge capacity of traditional Conic thread rod pump.Angle, θiNo longer indicate life
At the semi-cone angle of cone, it is with spherical radius ρiVariation and change, geometry meaning is any spherical radius ρ corresponding spherical surface circles
The semi-cone angle for the variation cone that profile is formed with pole.It can be seen that novel Conic thread rod curved surface and traditional cone screw rod curved surface difference lies in
The area of passage in each section of novel Conic thread rod-bushing pair is equal.Formula (4) shows section radius of circle r and spherical radius ρ at anti-
Proportionate relationship.Formula (5) gives in area of passage A0With base cone semi-cone angle ξ it is certain in the case of, the value model of spherical radius ρ
It encloses.
Equal area of passages huge discharge single head Conic thread rod surface description is as follows：Make one by the centre of sphere of the vertex of a cone of a cylindro-conical helix
The concentric spherical of serial different radii takes spherical surface circle, radius as the center of circle using the intersection point of spherical surface and helix on the spherical surface
With the inversely proportional relationship of spherical radius.The gabarit that these spherical surfaces are formed is to wait area of passages huge discharge single head Conic thread rod bent
Face, as shown in Figure 3.It should be noted that pole due to Z axis negative direction remotely, do not show in figure 3, X and Y-axis are only
Direction is represented, physical location is not represented.
Formula (3) is updated in traditional Conic thread rod surface equation formula i.e. formula (1), equal area of passages huge discharge single head cone is obtained
Screw rod surface equation is as follows
Formula (6) is to wait the surface equation of area of passages huge discharge single head Conic thread rod, and the screw rod rotation direction which indicates is the right side
Rotation, if it is left-handed screw, as long as right-handed coordinate system is changed to left-handed coordinate system, then Conic thread rod surface equation is constant.
The manufacturing process of S2 taper bush curved surface 16
When Conic thread rod-bushing subtask, bushing is fixed, and Conic thread rod then revolves round the sun in bushing while rotation,
Make fixed point planetary motion.When Conic thread rod surface equation is formula (6), taper bush curved surface is exactly the relative motion item of this determination
Conic thread rod envelope of surfaces under part.The derivation of taper bush surface equation is to first pass through coordinate conversion to find out cluster song
Face finds out this cluster envelope of surfaces (i.e. taper bush curved surface) further according to envelope theorem and contact conditions.Due to etc. overcurrents
The derivation class of the derivation of the single head taper bush surface equation of area and the surface equation of conventional single-ended taper bush
Seemingly, the surface equation for the taper bush derived is directly given here, it is as follows：
In formula (6)WithThe revolution angle and rotation angle of Conic thread rod are indicated respectively, and meet relationship： WithRespectivelyTwo groups of solutions.X2, Y2, Z2The surface equation of the vessels huge discharge single head Conic thread rods such as expression
Coordinate.Formula (5) is updated in formula (6), you can obtain completely waiting the surface equation of vessels huge discharge single head taper bush.
Include the different contact conditions of two classes in formula (7), if formula (8) is the first contact conditions, formula (9) is the second contact
The conjugate surface for meeting the first contact conditions is known as the first conjugate surface, meets the conjugate surface of the second contact conditions by condition
Referred to as the second conjugate surface.
It can be proper by formula (8)When value determines, carries it into X, Y, Z formula and can be obtained corresponding first kind contact line,
ChangeAnother first kind contact line can be obtained in value, enablesThe a series of first kind contact line that consecutive variations obtain constitutes
First conjugate surface.
Similarly, relational expression can be obtained by formula (9)As long as one givenValue, so that it may obtain α with β value
The relational expression of variation carries it into X, Y, Z formula and can be obtained the second class contact line at this time, changesValue can be obtained another
Second class contact line；It enablesA series of second class contact lines that consecutive variations obtain constitute the second conjugate surface.
The conical screw center line is the axis of center of circle cylindro-conical helix；The vertex of a cone with above-mentioned center of circle cylindro-conical helix is
The centre of sphere makees a series of concentric spherical of different radiis, and a spherical surface is taken on the spherical surface by the center of circle of the intersection point of spherical surface and helix
Circle, radius and the inversely proportional relationship of spherical radius, it is outside the single head conical screw that these spherical surfaces, which justify formed gabarit,
Curved surface.By conical screw large end face between conical screw small end face, the cross circular section radius of conical screw is gradually reduced.
The taper bush center line is the center line of taper bush external cylindrical surface；Conic thread rod one side rotation one in bushing
Side is revolved round the sun, and makees fixed point planetary motion, the taper bush negative camber is exactly the taper spiral shell under the conditions of the relative motion of this determination
The enveloping surface of bar positive camber；Taper bush large end face is similar to each cross sectional shape between taper bush small end face, is by two
The oblong of a semi arch and two approximately parallel straightway compositions；By taper bush large end face to taper bush small end face
Between, the radius of the semi arch in oblong is smaller, and length of straigh line is bigger.
The rotation helical pitch of the cross section oblong of taper bush negative camber is T=2t；The radius and conical screw of semi arch
Cross circular section radius it is equal, with spherical radius ρ at identical inversely prroportional relationship；Semicircle arc radius of taper bush large end face etc.
It is equal to the circle half of conical screw small end face in the semicircle arc radius of the radius of circle of conical screw large end face, taper bush small end face
Diameter；The length of straightway is equal to four times of the eccentricity of conical screw.
Conical screw is placed in taper bush inner cavity, and conical screw positive camber is intermeshed to be formed with taper bush negative camber
A series of chambers, middle chamber 1 are connected with arrival end, and chamber n is connected with outlet end, and the area of passage of Conic thread rod-bushing pair
It is remained unchanged from arrival end to outlet end, the area of passage S of arrival end1With the area of passage S of outlet end2It is equal；To ensure entrance
End is spaced from each other with outlet end, and the axial length of Conic thread rod-bushing pair should be greater than a taper bush helical pitch T so that taper spiral shell
Sealed chamber can be formed between bar and taper bush, and a series of sealed chamber volume phases are formed by by arrival end to outlet end
Deng, so that the discharge capacity of single head Conic thread rod pump increases, and pressure fluctuation reduction, flow trim increase.
Taper bush is fixed, conical screw center line axis centered on by taper bush center line, and semi-cone angle is ξ's
On the conical surface, conical screw is around the rotation that the rotation of conical screw center line is above-mentioned conical screw；Above-mentioned conical screw center
Line is around the revolution that the rotation of taper bush center line is above-mentioned conical screw.In this way, conical screw is around conical screw center line
It while rotation, also revolves round the sun around taper bush center line, and the direction of rotation and revolution is on the contrary, the ratio between size is 2:1.With
The rotation of conical screw, Conic thread rod-bushing pair gradually increase close to first cavity volume of arrival end, are formed very in suction side
Sky sucks working media, until chamber is completely enclosed, then constantly to outlet end moving in rotation, while close to the last of outlet end
One chamber fades away, and then working media is squeezed away completely, and pressure is generated in outlet end；In this whole process,
With the passage of chamber, arrival end constantly forms new chamber, so being formed continuously, elapse and disappearing with sealed chamber,
Working media is set to be sucked from arrival end, until outlet end is discharged.
Compared with prior art, the present invention has the advantages that：
The present invention is based on the curved surface forming method of traditional Conic thread rod-bushing pair, provide it is a kind of have equal area of passages and
Huge discharge Conic thread rod-bushing pair of equal vessels feature is conducive to the discharge capacity for improving single head Conic thread rod pump, reduces pressure fluctuation, increases
Add the stationarity of flow, and relatively small from suction side to discharge end pressure rising, during the motion relative sliding velocity
It is low, so abrasion can be reduced effectively, prolong the service life.For single head column screw rod-bushing pair of equal chambers, work as appearance
When abrasion, the performances such as discharge capacity of pump can be declined, can be by rotor or bushing in axial direction in view of the conical by its shape of Conic thread rod
Upper mobile a small distance, so that it may so that the volume of each vessel is equal again, improve the various aspects of performance of pump, reduce more
The frequency of exchanging rotor or bushing has saved cost, and has been directed to different pumped (conveying) mediums, can be by rationally designing base cone half cone
The parameters such as angle make being optimal of performance.In this way, Conic thread rod-bushing pair of the invention is in performance or service life etc.
Aspect all has certain advantage.The present invention goes back while giving the surface equation of specific Conic thread rod and taper bush, not only
Be conducive to promote the theoretical research of Conic thread rod-bushing pair, and be conducive to the popularization and use of Conic thread rod pump.
Description of the drawings
Fig. 1 is Conic thread rod-bushing pair diagrammatic cross-section.
Fig. 2 is traditional Conic thread rod curved surface schematic diagram.
Fig. 3 is novel Conic thread rod curve generating schematic diagram.
Fig. 4 is conical screw curve form schematic diagram.
Fig. 5 is taper bush curved cross section schematic diagram.
Fig. 6 is taper bush curved surface schematic diagram.
In figure：1, chamber, 2, chamber, 3, chamber, 4, conical screw, 5, taper bush, 6, conical screw-bushing pair, 7,
Center of circle cylindro-conical helix, 8, conical screw center line, 9, conical screw positive camber, 10, conical screw large end face, 11, taper spiral shell
Bar small end face, 12, spherical surface oblong, 13, semi arch, 14, near linear section, 15, taper bush center line, 16, taper bush
Negative camber, 17, taper bush large end face, 18, taper bush small end face, 19, taper bush external cylindrical surface, 20, arrival end, 21,
Outlet end.
Specific implementation mode
As shown in figures 1 to 6, a kind of Conic thread rod-bushing pair comprising conical screw 4, taper bush 5；Conical screw 4 includes
Conical screw positive camber 9, conical screw large end face 10, conical screw small end face 11；Taper bush 5 includes taper bush negative camber
16, taper bush large end face 17, taper bush small end face 18 and taper bush external cylindrical surface 19；The conical screw large end face 10
The arrival end 20 of Conic thread rod-bushing pair is formed with taper bush large end face 17；The conical screw small end face 11 and taper bush
Small end face 18 forms the outlet end 21 of Conic thread rod-bushing pair.
Based on the curved surface forming method of traditional Conic thread rod-bushing pair, novel single head Conic thread rod-bushing pair (6) for being proposed
Curved surface forming method include：The manufacturing process of the manufacturing process and S2 taper bush curved surface 16 of S1 conical screws curved surface 9.
The curved surface forming method of S1 conical screws curved surface 9
S1.1 tradition Conic thread rod surface equations and area of passage
The shape of conventional single-ended Conic thread rod can describe in this way：Using the vertex of a cone of a cylindro-conical helix as the centre of sphere make it is a series of not
With the concentric spherical of radius, spherical surface circle, radius and spherical surface are taken as the center of circle on the spherical surface using the intersection point of spherical surface and helix
Radius is linear.The gabarit that these spherical surfaces are formed is Conic thread rod curved surface, as shown in Figure 2.Above-mentioned cylindro-conical helix is
Center of circle cylindro-conical helix, where the conical surface be known as the base cone of rotor, the vertex of a cone of base cone is known as pole.If these spherical surfaces are justified
Piece moves in the spherical surface of its own, its center of circle is made to move to base cone center line up, then these spherical surface disks form one with pole
A circular cone, the circular cone are known as generating cone.If the screw pitch of center of circle cylindro-conical helix is t, base cone semi-cone angle is ξ, generating cone semi-cone angle
For θ.
Traditional Conic thread rod surface equation is
The parameter beta in formula is enabled to change within the scope of 0~2 π, what is obtained is the coordinate in a certain spherical surface round week；Allow ginseng again
Number α variations then obtain the equation in coordinates of upper each point of different spherical surface round weeks, and these circles constitute Conic thread rod surface in space, because
This, formula (1) namely Conic thread rod surface equation.
The spherical surface for being ρ with radius cuts traditional Conic thread rod and bushing, respectively obtains the section of spherical surface circle and spherical surface oblong,
The difference for the area that then gained spherical surface oblong and spherical surface are justified is the area of passage at the section that radius is ρ, then area of passage S is
S=SSet-SBar=4 ρ2The ρ of η sin θs=82ξsinθ (2)
The curved surface forming method of the area of passages Conic thread rod such as S1.2
In order to increase discharge capacity, make the area of passage S in each ball sectionkConsistently equal to traditional Conic thread rod-bushing pair large end face
(10) area of passage S1, i.e. S=8 ρ2ξ sin θs are constant, then
By 0 °<θ<90 °
And for the center of circle cylindro-conical helix of some determination, base cone semi-cone angle ξ is constant, therefore θ can be by formula (3)
It determines, and is only determined by radius ρ.Each spherical radius ρiA corresponding angle, θi, so that it may so that the area of passage in each ball section
S keeps constant value A0, and then keep each vessel volume equal, increase the discharge capacity of traditional Conic thread rod pump.Angle, θiNo longer indicate life
At the semi-cone angle of cone, it is with spherical radius ρiVariation and change, geometry meaning is any spherical radius ρ corresponding spherical surface circles
The semi-cone angle for the variation cone that profile is formed with pole.It can be seen that novel Conic thread rod curved surface and traditional cone screw rod curved surface difference lies in
The area of passage in each section of novel Conic thread rod-bushing pair (6) is equal.Formula (4) shows section radius of circle r and spherical radius ρ
Inversely proportional relationship.Formula (5) gives in area of passage A0With base cone semi-cone angle ξ it is certain in the case of, the value of spherical radius ρ
Range.
Equal area of passages huge discharge single head Conic thread rod curved surface (9) is described as follows：Using the vertex of a cone of a cylindro-conical helix as the centre of sphere
A series of concentric spherical for making different radiis takes spherical surface circle as the center of circle using the intersection point of spherical surface and helix on the spherical surface,
Radius r and the inversely proportional relationships of spherical radius ρ：R=Sk/8ρξ.The gabarit that these spherical surfaces are formed is to wait the big row of area of passages
Single head Conic thread rod curved surface is measured, as shown in Figure 3.It should be noted that pole due to Z axis negative direction remotely, do not show in Fig. 4
It shows to come, X and Y-axis only represent direction, do not represent physical location.
Formula (3) is updated in traditional Conic thread rod surface equation formula i.e. formula (1), equal area of passages huge discharge single head cone is obtained
Screw rod surface equation is as follows
Formula (5) is to wait the surface equation of area of passages huge discharge single head Conic thread rod (4), and the screw rod rotation direction of formula expression is
Dextrorotation, if it is left-handed screw, as long as right hand left side system is changed to left-handed coordinate system, then Conic thread rod surface equation is constant.
The manufacturing process of S2 taper bush curved surface 16
When Conic thread rod-bushing subtask, bushing is fixed, and Conic thread rod then revolves round the sun in bushing while rotation,
Make fixed point planetary motion.When Conic thread rod surface equation is formula (5), taper bush curved surface is exactly the relative motion item of this determination
Conic thread rod envelope of surfaces under part.The derivation of taper bush surface equation is to first pass through coordinate conversion to find out cluster song
Face finds out this cluster envelope of surfaces (i.e. taper bush curved surface) further according to envelope theorem and contact conditions.Due to etc. overcurrents
The derivation of the derivation of area huge discharge single head taper bush surface equation and the surface equation of conventional single-ended taper bush
Journey is similar, directly gives the surface equation for the taper bush derived here, as follows：
In formula (7)WithThe revolution angle and rotation angle of Conic thread rod are indicated respectively, and meet relationship： WithRespectivelyTwo groups of solutions.X2, Y2, Z2The surface equation of the vessels huge discharge single head Conic thread rods such as expression
Coordinate.Formula (6) is updated in formula (7), you can obtain completely waiting the surface equation of vessels huge discharge single head taper bush.
Include the different contact conditions of two classes in formula (7), if formula (8) is the first contact conditions, formula (9) is the second contact
The conjugate surface for meeting the first contact conditions is known as the first conjugate surface, meets the conjugate surface of the second contact conditions by condition
Referred to as the second conjugate surface.
It can be proper by formula (8)When value determines, carries it into X, Y, Z formula and can be obtained corresponding first kind contact line,
ChangeAnother first kind contact line can be obtained in value, enablesThe a series of first kind contact line that consecutive variations obtain is constituted
First conjugate surface.
Similarly, relational expression can be obtained by formula (9)As long as one givenValue, so that it may obtain α with β value
The relational expression of variation carries it into X, Y, Z formula and can be obtained the second class contact line at this time, changesValue can be obtained another article
Two class contact lines；It enablesA series of second class contact lines that consecutive variations obtain constitute the second conjugate surface.
The conical screw center line 8 is the axis of center of circle cylindro-conical helix 7；Using the vertex of a cone of above-mentioned cylindro-conical helix as ball
The heart makees a series of concentric spherical of different radiis, is taken on the spherical surface using the intersection point of spherical surface and center of circle cylindro-conical helix 7 as the center of circle
One spherical surface is justified, and radius and the inversely proportional relationship of spherical radius, the gabarit that these spherical surfaces are formed is the single head taper spiral shell
Bar positive camber 9.By conical screw large end face 10 between conical screw small end face 11, the cross circular section radius of conical screw is smaller.
The taper bush center line 15 is the center line of taper bush external cylindrical surface 19；Conical screw 4 is in taper bush 5
It is interior to revolve round the sun while rotation, make fixed point planetary motion, the taper bush negative camber 16 is exactly the relative motion of this determination
Under the conditions of conical screw positive camber 9 enveloping surface；Taper bush large end face 17 is to each section between taper bush small end face 18
Face shape is similar, the oblong 12 being made of two semi arches 13 and two approximately parallel straightways 14；It is served as a contrast by taper
Large end face 17 is covered between taper bush small end face 18, and the radius of the semi arch 13 in oblong 12 is smaller, and 14 length of straightway is got over
Greatly.
The rotation helical pitch of the cross section oblong 12 of taper bush negative camber 16 is T=2t；The radius and cone of semi arch 13
The cross circular section radius of shape screw rod 4 is equal；The semicircle arc radius of taper bush large end face 17 is equal to conical screw large end face 10
Radius of circle, the semicircle arc radius of taper bush small end face 18 are equal to the radius of circle of conical screw small end face 11；Near linear section 14
Length be equal to four times of eccentricity of conical screw 4.
Conical screw 4 is placed in 5 inner cavity of taper bush, and conical screw positive camber 9 is mutually nibbled with taper bush negative camber 16
Conjunction forms a series of chambers (1,2,3 ... n), and middle chamber 1 is connected with arrival end 20, and chamber n is connected with outlet end 21, and bores spiral shell
The area of passage S of bar-bushing pair 6kIt is remained unchanged from arrival end 20 to outlet end 21, the area of passage S of arrival end 201With outlet
The area of passage S at end 212It is equal；To ensure that arrival end 20 is spaced from each other with outlet end 21, the axial direction of Conic thread rod-bushing pair 6 is long
Degree should be greater than a taper bush helical pitch T so that sealed chamber can be formed between conical screw 4 and taper bush 5, by entrance
End 20 to outlet end 21 is formed by a series of sealed chamber volume (V1、V2、V3…Vn) equal, so that single head Conic thread rod
The discharge capacity of pump increases, and pressure fluctuation reduces, and flow trim increases.
Taper bush 5 is fixed, conical screw center line 8 axis, semi-cone angle ξ centered on by taper bush center line
The conical surface on, conical screw 4 around conical screw center line 8 rotation be above-mentioned conical screw 4 rotation；Above-mentioned conical screw
Center line 8 is around the revolution that the rotation of taper bush center line 15 is above-mentioned conical screw 4.In this way, conical screw 4 is around taper spiral shell
While bar 8 rotation of center line, also revolve round the sun around taper bush center line 15, and the direction of rotation and revolution on the contrary, size it
Than being 2:1.With the rotation of conical screw 4, Conic thread rod-bushing pair 6 gradually increases close to first 1 volume of chamber of arrival end 20
Greatly, vacuum is formed in suction side, sucks working media, until chamber is completely enclosed, then constantly to 21 moving in rotation of outlet end, together
When the last one chamber n close to outlet end 21 fade away, and then working media is squeezed away completely, is produced in outlet end 21
Raw pressure；In the whole process, with the passage of chamber, arrival end 20 constantly forms new chamber, so with sealed chamber
Be formed continuously, elapse and disappear, make working media from arrival end 20 suck, until outlet end 21 be discharged.
Claims (5)
1. a kind of Conic thread rod-bushing pair of equal area of passages, it is characterised in that：Conic thread rod-the bushing pair includes conical screw
(4), taper bush (5)；Conical screw (4) includes conical screw positive camber (9), conical screw large end face (10), conical screw
Small end face (11)；Taper bush (5) includes taper bush negative camber (16), taper bush large end face (17), taper bush small end
Face (18) and taper bush external cylindrical surface (19)；The conical screw large end face (10) and taper bush large end face (17) composition cone
The arrival end (20) of screw rod-bushing pair；The conical screw small end face (11) and taper bush small end face (18) form Conic thread rod-
The outlet end (21) of bushing pair；
Based on the curved surface forming method of traditional Conic thread rod-bushing pair, the song for single head Conic thread rod-bushing pair (6) that this method is related to
Face manufacturing process includes：The manufacturing process of the manufacturing process and S2 taper bush curved surface (16) of S1 conical screws curved surface (9)；
The curved surface forming method of S1 conical screws curved surface (9)；
S1.1 tradition Conic thread rod surface equations and area of passage；
The shape of conventional single-ended Conic thread rod can describe in this way：Make a series of different half by the centre of sphere of the vertex of a cone of a cylindro-conical helix
The concentric spherical of diameter takes spherical surface circle, radius and spherical radius as the center of circle using the intersection point of spherical surface and helix on the spherical surface
It is linear；The gabarit that these spherical surfaces are formed is Conic thread rod curved surface；Above-mentioned cylindro-conical helix is center of circle cylindro-conical helix,
The conical surface where it is known as the base cone of rotor, and the vertex of a cone of base cone is known as pole；If these spherical surface disks in the ball of its own
It is moved in face, its center of circle is made to move to base cone center line up, then these spherical surface disks form a circular cone with pole, which claims
For generating cone；If the screw pitch of center of circle cylindro-conical helix is t, base cone semi-cone angle is ξ, and generating cone semi-cone angle is θ；
Traditional Conic thread rod surface equation is
The parameter beta in formula is enabled to change within the scope of 0~2 π, what is obtained is the coordinate in a certain spherical surface round week；Parameter alpha is allowed to become again
Change, then obtains the equation in coordinates of upper each point of different spherical surface round weeks, and these circles constitute Conic thread rod surface, therefore, formula in space
(1) namely Conic thread rod surface equation；
The spherical surface for being ρ with radius cuts traditional Conic thread rod and bushing, respectively obtains the section of spherical surface circle and spherical surface oblong, then gained
The difference of the area of spherical surface oblong and spherical surface circle is the area of passage at the section that radius is ρ, then area of passage S is
S=SSet-SBar=4 ρ2The ρ of η sin θs=82ξsinθ (2)
The curved surface forming method of the area of passages Conic thread rod such as S1.2
In order to increase discharge capacity, make the area of passage S in each ball sectionkConsistently equal to traditional Conic thread rod-bushing pair large end face (10)
Area of passage S1, i.e. S=8 ρ2ξ sin θs are constant, then
By 0 °<θ<90 °
And for the center of circle cylindro-conical helix of some determination, base cone semi-cone angle ξ is constant, therefore θ can be true by formula (3)
It is fixed, and only determined by radius ρ；Each spherical radius ρiA corresponding angle, θi, just keep the area of passage S in each ball section
Steady state value A0, and then keep each vessel volume equal, increase the discharge capacity of traditional Conic thread rod pump；Angle, θiNo longer indicate generating cone
Semi-cone angle, it is with spherical radius ρiVariation and change, geometry meaning be the corresponding spherical surface circle contours of any spherical radius ρ
The semi-cone angle of the variation cone formed with pole；It can be seen that novel Conic thread rod curved surface is with traditional cone screw rod curved surface, difference lies in novel
The area of passage in each section of Conic thread rod-bushing pair (6) is equal；Formula (4) shows section radius of circle r and spherical radius ρ at anti-
Proportionate relationship；Formula (5) gives in area of passage A0With base cone semi-cone angle ξ it is certain in the case of, the value model of spherical radius ρ
It encloses；
Equal area of passages huge discharge single head Conic thread rod curved surface (9) is described as follows：Make one by the centre of sphere of the vertex of a cone of a cylindro-conical helix
The concentric spherical of serial different radii takes spherical surface circle, radius r as the center of circle using the intersection point of spherical surface and helix on the spherical surface
With the inversely proportional relationships of spherical radius ρ：R=Sk/8ρξ；The gabarit that these spherical surfaces are formed is to wait area of passages huge discharge list
Nose cone screw rod curved surface；
Formula (3) is updated in traditional Conic thread rod surface equation formula i.e. formula (1), equal area of passages huge discharge single head Conic thread rod is obtained
Surface equation is as follows
Formula (6) is to wait the surface equation of area of passages huge discharge single head Conic thread rod (4), and the screw rod rotation direction which indicates is the right side
Rotation, if it is left-handed screw, as long as right hand left side system is changed to left-handed coordinate system, then Conic thread rod surface equation is constant；
The manufacturing process of S2 taper bush curved surface (16)
When Conic thread rod-bushing subtask, bushing is fixed, and Conic thread rod then revolves round the sun in bushing while rotation, determines
Point planetary motion；When Conic thread rod surface equation is formula (6), under the conditions of taper bush curved surface is exactly the relative motion of this determination
Conic thread rod envelope of surfaces；The derivation of taper bush surface equation is to first pass through coordinate conversion to find out cluster curved surface,
This cluster envelope of surfaces i.e. taper bush curved surface is found out further according to envelope theorem and contact conditions；Due to equal vessels huge discharge
The derivation of single head taper bush surface equation is similar with the derivation of the surface equation of conventional single-ended taper bush, here
The surface equation for the taper bush derived is directly given, it is as follows：
In formula (7)WithThe revolution angle and rotation angle of Conic thread rod are indicated respectively, and meet relationship：
WithRespectivelyTwo groups of solutions；X2, Y2, Z2The surface equation coordinate of the vessels huge discharge single head Conic thread rods such as expression；By formula (6)
It is updated in formula (7), you can obtain completely waiting the surface equation of area of passages huge discharge single head taper bush；
Include the different contact conditions of two classes in formula (7), if formula (8) is the first contact conditions, formula (9) is the second bow strip
The conjugate surface for meeting the first contact conditions is known as the first conjugate surface by part, and the conjugate surface for meeting the second contact conditions claims
For the second conjugate surface；
It can be proper by formula (8)It when value determines, carries it into X, Y, Z formula and can be obtained corresponding first kind contact line, changeAnother first kind contact line can be obtained in value, enablesThe a series of first kind contact line that consecutive variations obtain constitutes first
Conjugate surface；
Similarly, relational expression can be obtained by formula (9)As long as one givenValue, so that it may obtain what α changed with β value
Relational expression carries it into X, Y, Z formula and can be obtained the second class contact line at this time, changesValue can be obtained another the second class and connect
Touch line；It enablesA series of second class contact lines that consecutive variations obtain constitute the second conjugate surface；
The conical screw center line (8) is the center line of center of circle cylindro-conical helix (7)；The vertex of a cone with above-mentioned cylindro-conical helix is
The centre of sphere makees a series of concentric spherical of different radiis, and the intersection point using spherical surface and center of circle cylindro-conical helix (7) is the center of circle in the spherical surface
On take a spherical surface to justify, radius and the inversely proportional relationship of spherical radius, it is the single head that these spherical surfaces, which justify formed gabarit,
Conical screw positive camber (9)；By conical screw large end face (10) between conical screw small end face (11), the cross section of conical screw
Radius of circle is gradually reduced；
The taper bush center line (15) is the center line of taper bush external cylindrical surface (19)；Conical screw (4) is served as a contrast in taper
(5) are interior revolves round the sun while rotation for set, make fixed point planetary motion, the taper bush negative camber (16) is exactly the phase of this determination
To the enveloping surface of the conical screw positive camber (9) under moving condition；Taper bush large end face (17) is to taper bush small end face
(18) each cross sectional shape between is similar, is made of two semi arches (13) and two approximately parallel straightways (14)
Oblong (12)；By taper bush large end face (17) between taper bush small end face (18), the semi arch in oblong (12)
(13) radius is smaller, and straightway (14) length is bigger.
2. a kind of Conic thread rod-bushing pair of equal area of passages according to claim 1, it is characterised in that：Conical screw (4)
It is placed in taper bush (5) inner cavity, conical screw positive camber (9) forms a series of with taper bush negative camber (16) intermeshing
Chamber, 1,2,3 ... n, wherein chamber (1) is connected with arrival end (20), and chamber (n) is connected with outlet end (21), and Conic thread rod-
The area of passage S of bushing pair (6)kIt is remained unchanged from arrival end (20) to outlet end (21), the area of passage S of arrival end (20)1With
The area of passage S of outlet end (21)2It is equal；To ensure that arrival end (20) is spaced from each other with outlet end (21), Conic thread rod-bushing pair
(6) axial length should be greater than a taper bush helical pitch T so that can be formed between conical screw (4) and taper bush (5)
Sealed chamber is formed by a series of i.e. V of sealed chamber volume by arrival end (20) to outlet end (21)1、V2、V3…VnIt is equal,
So that the discharge capacity of single head Conic thread rod pump increases, pressure fluctuation reduces, and flow trim increases.
3. a kind of Conic thread rod-bushing pair of equal area of passages according to claim 1, further characterized in that：Cone
Shape bushing (5) is fixed, conical screw center line (8) axis centered on by taper bush center line, and semi-cone angle is the conical surface of ξ
On, conical screw (4) is around the rotation that the rotation of conical screw center line (8) is above-mentioned conical screw (4)；Above-mentioned conical screw
Center line (8) is around the revolution that the rotation of taper bush center line (15) is above-mentioned conical screw (4)；In this way, conical screw (4)
While around conical screw center line (8) rotation, also revolve round the sun around taper bush center line (15), and the direction of rotation and revolution
On the contrary, the ratio between size is 2:1；With the rotation of conical screw (4), the first of the close arrival end (20) of Conic thread rod-bushing pair (6)
A chamber (1) volume gradually increases, and forms vacuum in suction side, sucks working media, until chamber is completely enclosed, then constantly to
Outlet end (21) moving in rotation, while the last one chamber (n) close to outlet end (21) fades away, and then working media quilt
It squeezes away completely, pressure is generated in outlet end (21)；In the whole process, with the passage of chamber, arrival end (20) is continuous
New chamber, so being formed continuously, elapse and disappearing with sealed chamber are formed, working media is made to be inhaled from arrival end (20)
Enter, until outlet end (21) are discharged.
4. a kind of Conic thread rod-bushing pair of equal area of passages according to claim 1, it is characterised in that：In taper bush
The rotation helical pitch of the cross section oblong (12) of curved surface (16) is T=2t；The cross of the radius and conical screw (4) of semi arch (13)
Section radius of circle is equal；The semicircle arc radius of taper bush large end face (17) is equal to the radius of circle of conical screw large end face (10),
The semicircle arc radius of taper bush small end face (18) is equal to the radius of circle of conical screw small end face (11)；Near linear section (14)
Length is equal to four times of the eccentricity of conical screw (4).
5. a kind of Conic thread rod-bushing pair of equal area of passages according to claim 1, further characterized in that：Cone
Shape screw rod uses the metal material or ceramic material of wear-and corrosion-resistant, taper bush to use the high molecular material or metal of wear-and corrosion-resistant
Material or ceramic material.
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| CN201611254733.3A CN106640627B (en) | 2016-12-30 | 2016-12-30 | A kind of Conic thread rod-bushing pair of equal area of passages |
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| DE102018110752A1 (en) * | 2018-05-04 | 2019-11-07 | Knorr-Bremse Systeme für Nutzfahrzeuge GmbH | Method for producing a connection contact |
| DE202018104142U1 (en) * | 2018-07-18 | 2019-10-22 | Vogelsang Gmbh & Co. Kg | Rotor for an eccentric screw pump |
| CN111894850B (en) * | 2020-06-19 | 2022-07-15 | 皖江工学院 | Double-head single-screw pump with 2/3 molded lines |
Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US1892217A (en) * | 1930-05-13 | 1932-12-27 | Moineau Rene Joseph Louis | Gear mechanism |
| US2290137A (en) * | 1938-10-22 | 1942-07-14 | Roy G Dorrance | Compressor for refrigerating apparatus |
| EP1988288A1 (en) * | 2007-05-04 | 2008-11-05 | Grundfos Management A/S | Moineau pump |
| CN103775334A (en) * | 2014-02-13 | 2014-05-07 | 北京工业大学 | Conical threaded rod-bushing pair |
| CN103883522A (en) * | 2014-03-17 | 2014-06-25 | 北京工业大学 | Curved surface forming method for cone screw-bush pair |
| CN104847657A (en) * | 2015-05-07 | 2015-08-19 | 北京工业大学 | Multihead taper screw bush pair and forming method of curved surface thereof |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| DE202009002823U1 (en) * | 2009-03-02 | 2009-07-30 | Daunheimer, Ralf | Cavity Pump |
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2016
- 2016-12-30 CN CN201611254733.3A patent/CN106640627B/en not_active Expired - Fee Related
Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US1892217A (en) * | 1930-05-13 | 1932-12-27 | Moineau Rene Joseph Louis | Gear mechanism |
| US2290137A (en) * | 1938-10-22 | 1942-07-14 | Roy G Dorrance | Compressor for refrigerating apparatus |
| EP1988288A1 (en) * | 2007-05-04 | 2008-11-05 | Grundfos Management A/S | Moineau pump |
| CN103775334A (en) * | 2014-02-13 | 2014-05-07 | 北京工业大学 | Conical threaded rod-bushing pair |
| CN103883522A (en) * | 2014-03-17 | 2014-06-25 | 北京工业大学 | Curved surface forming method for cone screw-bush pair |
| CN104847657A (en) * | 2015-05-07 | 2015-08-19 | 北京工业大学 | Multihead taper screw bush pair and forming method of curved surface thereof |
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