CN102102670A - Three-plane concurrent construction method and star wheel of single-screw compressor constructed by same - Google Patents

Three-plane concurrent construction method and star wheel of single-screw compressor constructed by same Download PDF

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CN102102670A
CN102102670A CN 201010279194 CN201010279194A CN102102670A CN 102102670 A CN102102670 A CN 102102670A CN 201010279194 CN201010279194 CN 201010279194 CN 201010279194 A CN201010279194 A CN 201010279194A CN 102102670 A CN102102670 A CN 102102670A
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CN102102670B (en
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李锦上
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Abstract

The invention discloses a star wheel (1). The star wheel (1) comprises a front side face (2), a tooth crestal face (3) and a rear side face (4) of star wheel teeth, and is characterized in that: the front side face, the tooth crestal face and the rear side face of the star wheel teeth are generated by a three-plane concurrent construction method. The three-plane concurrent construction method comprises the following steps of: constructing the front side face of the star wheel by using an axial plane theta Lj and a radial plane uk of a front enveloping surface; constructing the rear side face of the star wheel by using an axial plane theta Lj and a radial plane uk of a rear enveloping surface; and constructing the tooth crestal face of the star wheel by using an axial plane theta Lj and a radial plane theta lk of a tooth crestal enveloping surface.

Description

Three concurrent structured approaches and with the star-wheel of the single screw compressor of this method structure
Technical field
The present invention relates to software development, Machine Design and manufacturing technology field, particularly three concurrent structured approaches of space conjugation engagement pair secondary enveloping surface and adopt the star-wheel of the single screw compressor of this method construct.
Background technique
The field that space conjugation mesh theory is suitable for is very extensive, as the cutter in the machining, grinding tool, emery wheel; Crowded wheel in the material forming, roll, mould; Cam in the mechanical transmission, gear, worm and gear and anchor ring worm and gear; Single screw compressor in the fluid machinery, single-screw expander, helical-lobe compressor and pump class; The mechanism of precision instrumentation, conjugation engagement and other need the device of conjugation engagement; Or the like.
The design of space conjugation engagement pair and manufacturing can realize with envelope method.
In a mechanical system that comprises three space O, I, II, wherein the O representative is with reference to space or static space, and I, II represent space, and I, II space with respect to O with reference to the motion in space respectively are
Figure BSA00000265930100011
If profile A is in the I space, when I space and profile A press with reference to the space with respect to O
Figure BSA00000265930100012
Motion, the II space is done with reference to the space with respect to O
Figure BSA00000265930100013
During motion,
Figure BSA00000265930100014
Profile A envelope in the II space goes out curved surface B, if satisfy meshing condition, this process is called the first enveloped of space conjugation engagement profile, and curved surface B then is called the first enveloped face B[1 of space conjugation engagement profile].
When the II space be included in the II space the first enveloped face B that come out by envelope with respect to O with reference to the space by φ 2Motion, the I space is φ with respect to O with reference to the space 1During motion,
Figure BSA00000265930100015
First enveloped face B envelope in the I space goes out curved surface
Figure BSA00000265930100016
Then this process is called the twice-enveloping of space conjugation engagement profile, curved surface
Figure BSA00000265930100017
The secondary enveloping surface that then is called space conjugation engagement profile
The amphitypy body engagement that obtains through first and second envelope is exactly an a pair of space conjugation engagement pair, and single screw compressor, single-screw expander and anchor ring worm and gear etc. are exactly typical space conjugation engagement pair.
At present, the design of screw rod in space conjugation engagement pair such as single screw compressor and the decompressor and the worm screw in the anchor ring worm and gear etc. and make and all to have mature technique, but as the design and fabrication technology famine of the secondary enveloping surfaces such as worm gear in star-wheel in single screw compressor and the decompressor and the anchor ring worm and gear.When engineering circle relates to this technology, or be to avoid as " concerning enveloping worm pair, can not also there is no need all Line of contact are calculated and study.Usually only representational Line of contact is discussed, as inlet Line of contact, outlet Line of contact, a certain Line of contact instantaneous the time.Or be the profile of really not designing star-wheel [2] ", can only obtain the profile of star-wheel according to the special plane rolling cut processing of the motion principle manufacturing of screw rod and star-wheel, " star-wheel is equivalent to globoid worm gear, and its flank of tooth is the envelope surface of screw tooth surface, can only process with rolling cut.[3]”
There are many defectives in the secondary enveloping surface of the star-wheel of employing rolling cut processing method Manufacture Order helical-lobe compressor (or single-screw expander) and the worm gear of anchor ring worm and gear, and the first needs special plane, so processing cost is very high, and manufacturing efficiency is very low; It two is that machining accuracy is difficult to control, because any machinery is all gapped, the engagement pair precision that the processing of the rolling cut of gapped tape error obtains is difficult to guarantee; It three is to produce difficulty in batches.
The desired location of multi-faceted cylindrical milling cutter when now also having by the processing screw rotor, get the surface that can touch the screw rotor flank of tooth on each milling cutter cylinder, these narrow strip surfaces are placed by former orientation, and with per two adjacently situated surfaces with the smooth connection of circumscribed straight line, [4] of handling by the approximation method of curve fitting again with computer.This method can not accurately obtain 5,10 and 13 contact seal working areas in this Figure of description 2, more can not get 6,7,11,12, the 13 and 14 instantaneous contact areas that indicate, deviate from the engagement rule of space conjugation engagement pair in essence, can not obtain accurate engagement pair.
1, new conjugate curved surface principle of Chen Zhi and application thereof--the new collection of thesis of Chen Zhi China Science Tech Publishing House 2008.5
2, all good Yong toroid helicoids worms are repaiied type principle and publishing house of the manufacturing technology National University of Defense technology 2005.9
3, Fang Yirong looks into comprehensive breakthrough mechanical development 1997.6 of single screw compressor technology such as generation beam
4, CN100408240C polycylindser milling envelope single screw compressor tooth face molded lines constructive method
Summary of the invention
Serious disappearance and deficiency at space conjugation engagement pair design and fabrication technology, the objective of the invention is to, three concurrent structured approaches of a kind of space conjugation engagement pair secondary enveloping surface are provided, intersect to produce the profile of the worm gear of the star-wheel of intersection point structure single screw compressor (or single-screw expander) and anchor ring worm and gear with secondary enveloping surface by constructing two auxiliary planes, design the three-dimensional stereo model of star-wheel then, the accurate conjugation engagement of implementation space conjugation engagement pair processes entity with turnning and milling Compositions of metal-working machines or five coordinate lathes etc. again in computer.To achieve these goals, the technology used in the present invention solution is as follows:
1, a kind of three concurrent structured approaches comprise the mechanical system of three space O, I, II, and wherein the O representative is with reference to space or static space, and I, II represent space, are r at I space vector function 1(u, profile v) is generating surface A to=A, presses with reference to the space with respect to O Motion, the II space is done with reference to the space with respect to O
Figure BSA00000265930100022
Motion,
Figure BSA00000265930100023
Generating surface A envelope in the II space generates first enveloped face B, and the vector function of first enveloped face B is
Figure BSA00000265930100024
Comprise the II space of making generating surface of first enveloped face B, press φ with reference to the space with respect to O 2Motion, the I space is φ with respect to O with reference to the space 1Motion,
Figure BSA00000265930100025
First enveloped face B envelope in the I space goes out secondary enveloping surface
Figure BSA00000265930100026
Secondary enveloping surface Vector function be It is characterized in that: the structure secondary enveloping surface With the following method:
(1), three faces of structure:
The structure envelope surface
Figure BSA00000265930100031
According to secondary enveloping surface
Figure BSA00000265930100032
Vector function
Figure BSA00000265930100033
Get
Figure BSA00000265930100034
(i=1,2 ..., n), obtain secondary enveloping surface Vector function family
Figure BSA00000265930100036
(i=1,2 ..., n) Biao Shi a n envelope surface, wherein the i envelope surface is called for short envelope surface
Figure BSA00000265930100037
Structure axial plane θ Lj: with the line (a) at the center of described I space and II space or be parallel to the I space and the straight line of the line at II space center (b) is axis L and is done coaxial plane family, be r with vector function for sake of convenience j=θ (θ Lj) (j=1,2 ..., m) expression, θ LjBe family of planes r j=θ (θ Lj) (j=1,2 ..., m) in the characteristic angle on j plane, θ LjBy the value decision of selected reference level and j, wherein axial plane θ is called for short on the j plane Lj
Structure radial plane u kOr construct another axial plane θ Lk: making the family of planes perpendicular to described axis L, is r with vector function for sake of convenience k=u (u k) (k=1,2 ..., w) expression, u kBe family of planes r k=u (u k) (k=1,2 ..., w) in the intersection point of k plane and axis L along axis L to the I space or the distance of II space coordinate plane, wherein radial plane u is called for short on the k plane kPerhaps in the central plane of I space, making the straight line l perpendicular to described axis L, do the family of planes that axis was made described axis l with straight line l, is r with vector function for sake of convenience k=θ (θ Lk) (k=1,2 ..., w) expression, θ LkBe family of planes r k=θ (θ Lk) (j=1,2 ..., m) in the characteristic angle on k plane, θ LkBy the value decision of selected reference level and k, wherein axial plane θ is called for short on the k plane LkThe central plane of described I space was the central point of I space and perpendicular to the plane of the axis of I space.
(2), the intersection point d of three faces of structure Ijk min:
Utilize envelope surface
Figure BSA00000265930100038
Axial plane θ LjWith radial plane u kThe intersection point d of these three faces of structure Ijk, according to intersection point d IjkDistance to axis L | d Ijk| value determine intersection point d for minimum principle Ijk minPerhaps utilize envelope surface
Figure BSA00000265930100039
Axial plane θ LjWith axial plane θ LkThe intersection point d of these three faces of structure Ijk, according to intersection point d IjkArrive the distance at the center of I space | d Ijk| value determine intersection point d for minimum principle Ijk min
With graphical solution or three crossing intersection point d of analytic method structure Ijk min
Graphical solution is to utilize three-dimensional software in computer: at first construct envelope surface
Figure BSA000002659301000310
Axial plane θ LjWith radial plane u kNext draws envelope surface
Figure BSA000002659301000311
With axial plane θ LjIntersection l Ij, axial plane θ LjWith radial plane u kIntersection l Jk, radial plane u kAnd envelope surface
Figure BSA000002659301000312
Intersection l KiThe 3rd draws three intersection l Ij, l JkAnd l KiIntersect the intersection point d that produces Ijk, envelope surface family (i=1,2 ..., n) with intersection l JkN intersection point arranged; At last according to intersection point d IjkDistance to axis L | d Ijk| value determine intersection point d for minimum principle Ijk minPerhaps at first construct envelope surface
Figure BSA000002659301000314
Axial plane θ LjWith axial plane θ LkNext draws envelope surface
Figure BSA000002659301000315
With axial plane θ LjIntersection l Ij, axial plane θ LjWith axial plane θ LkIntersection l Jk, axial plane θ LkAnd envelope surface
Figure BSA00000265930100041
Intersection l KiThe 3rd draws three intersection l Ij, l IkAnd l KiIntersect the intersection point d that produces Ijk, envelope surface family
Figure BSA00000265930100042
(i=1,2 ..., n) with intersection l JkN intersection point arranged; At last according to intersection point d IjkArrive the distance at the center of I space | d Ijk| value determine intersection point d for minimum principle Ijk min
Analytic method is to utilize envelope surface
Figure BSA00000265930100043
Axial plane θ LjWith radial plane u kConstruct n * m * w set of equations group; Find the solution the intersection point d of these set of equation IjkCoordinate figure; Find intersection d then IjkDistance to axis L | d Ijk|; Again according to intersection point d IjkDistance to axis L | d Ijk| value determine intersection point d for minimum principle Ijk minPerhaps use envelope surface
Figure BSA00000265930100044
Axial plane θ LjWith axial plane θ LkConstruct n * m * w set of equations group; Find the solution the intersection point d of these set of equation IjkCoordinate figure; Find intersection d then IjkDistance to I space central point | d Ijk|; According to intersection point d IjkArrive the distance at the center of I space | d Ijk| value determine intersection point d for minimum principle Ijk min
(3), the secondary enveloping surface of structure star-wheel tooth
Figure BSA00000265930100045
Choose envelope surface
Figure BSA00000265930100046
Axial plane θ LjWith radial plane u kOr envelope surface
Figure BSA00000265930100047
Axial plane θ LjWith another axial plane θ LkIn any one face, as axial plane θ Lj, link axial plane θ in order with smoothed curve LjIn all intersection point d Ijk min(k=1,2 ..., w), connection shaft is to family of planes θ again Lj(j=1,2 ..., m) the middle described smoothed curve of m bar promptly constructs the secondary enveloping surface of space conjugation engagement pair
Figure BSA00000265930100048
The star-wheel of the single screw compressor of three concurrent structured approach structures of a kind of usefulness, the star-wheel tooth comprises leading flank, trailing flank and Topland, it is characterized in that: the secondary enveloping surface of star-wheel
Figure BSA00000265930100049
Be divided into the front side envelope surface
Figure BSA000002659301000410
The rear side envelope surface
Figure BSA000002659301000411
And addendum envelope
Figure BSA000002659301000412
Use the front side envelope surface Axial plane θ LjWith radial plane u kThe leading flank of structure star-wheel is used the rear side envelope surface Axial plane θ LjWith radial plane u kThe trailing flank of structure star-wheel is used addendum envelope
Figure BSA000002659301000415
Axial plane θ LjWith axial plane θ LkThe Topland of structure star-wheel.
Marginal data
1, Fig. 1 is single screw compressor star-wheel and star-wheel tooth sectional drawing
In Fig. 1 a, 1 is star-wheel, and 2 is the leading flank of star-wheel tooth, and 3 is star-wheel tooth Topland, and 4 is the trailing flank of star-wheel tooth.Left side figure among Fig. 1 b is the drawing in side sectional elevation of star-wheel tooth, 5 is the conjugation contact seal working surface of leading flank among the figure, 6 is the instantaneous surface of contact of compression-side, 7 is the instantaneous surface of contact of back pressure side, 10 is the conjugation contact seal working surface of trailing flank, and 11 is the instantaneous surface of contact of compression-side, and 12 is the instantaneous surface of contact of back pressure side, 8 is the compression face of star-wheel tooth, and 9 is the back pressure face of star-wheel tooth.Right side figure among Fig. 1 b is the sectional arrangement drawing of star-wheel tooth, and 13 is tooth top conjugation contact seal working surface among the figure, and 14 is the instantaneous surface of contact of tooth top compression-side, and 15 is the instantaneous surface of contact of tooth top back pressure side.
2, Fig. 2 is the schematic diagram of three concurrent structured approaches
O-XYZ is the space coordinates of star-wheel, and Fig. 2 a mean camber A1-A2-A3-A4 is front side envelope surface or rear side envelope surface, and plane B1-B2-B3-B4 was that the structural plane of the axis X or the X that parallels to the axis is axial plane θ Lj, the structural plane that plane C1-C2-C3-C4 is perpendicular to axis X is radial plane u kAmong Fig. 2 b, curved surface A1-A2-A3-A4 is an addendum envelope, and plane B1-B2-B3-B4 was that the structural plane of the axis X or the X that parallels to the axis is axial plane θ Lj, plane D1-D2-D3-D4 was that the structural plane of axis Y is axial plane θ Lk
3, Fig. 3 is the space conjugation engagement pair with three concurrent structured approach designs
1 is star-wheel among the figure, and 16 is screw rod, and 17 is screw axis, and 18 is spider gear shaft, and 19 is worm gear, and 20 is worm screw.Wherein Fig. 3 a is the single helical-lobe compressor intermeshing pair of screw axis and spider gear shaft square crossing, Fig. 3 b single helical-lobe compressor intermeshing pair that to be screw axis tilt to intersect with spider gear shaft, and Fig. 3 c is an anchor ring worm and gear engagement pair.
4, Fig. 4 is the single screw compressor with three concurrent structured approach designs
1 is star-wheel, and 16 is screw rod, and 17 is screw axis, and 21,22 is end cap, and 23 is casing, and 24 is the star-wheel support.The profile of star-wheel uses three concurrent structured approaches to generate.
Embodiment
Understand the present invention for clear, further be illustrated with an embodiment:
1, the structure first enveloped curved surface B of cylndrical surface on screw rod.
In the single screw compressor system that three space O, I, II represent, the reference space or the static space of O representative are bodies, and the space of I representative is a star-wheel, and the space of II representative is a screw rod.Do the tooth that generating surface replaces star-wheel with a cylndrical surface, star-wheel is pressed with respect to casing Motion, screw rod is done with respect to casing
Figure BSA00000265930100052
Motion,
Figure BSA00000265930100053
The cylinder generating surface goes out first enveloped face B at the screw rod coenvelope, and the vector function of first enveloped face B is
Figure BSA00000265930100054
Satisfy the mesh equation NV=0 of first enveloped, N is any the normal vector on the first enveloped face B, and V is the speed of related movement that first enveloped face B goes up same point.
2, with three concurrent structured approach structure secondary enveloping surface B
Do generating surface with the first enveloped face B on the screw rod again, press φ with respect to body 2Motion, star-wheel is φ with respect to body 1Motion,
Figure BSA00000265930100055
First enveloped face B goes out secondary enveloping surface at the star-wheel coenvelope
Figure BSA00000265930100056
Secondary enveloping surface Function be
Figure BSA00000265930100058
Obviously use secondary enveloping surface
Figure BSA00000265930100059
Function
Figure BSA000002659301000510
The profile that directly generates secondary enveloping surface in computer system is difficult.Therefore, use Fig. 2 a and described three the concurrent structured approaches of Fig. 2 b in the coordinate space of star-wheel, constructed fuction Profile
Figure BSA00000265930100062
According to Fig. 1 a, the engagement profile of star-wheel tooth is divided into leading flank, trailing flank and Topland, is specifically related to the envelope surface of leading flank, trailing flank and Topland
Figure BSA00000265930100063
Shi Ze is the front side envelope surface
Figure BSA00000265930100064
The rear side envelope surface And addendum envelope
Figure BSA00000265930100066
At first construct the leading flank and the trailing flank of star-wheel teeth with three concurrent structured approaches:
(1), structure front side envelope surface
Figure BSA00000265930100067
Or rear side envelope surface
Figure BSA00000265930100068
Get
Figure BSA00000265930100069
(i=1,2 ..., n), by secondary enveloping surface
Figure BSA000002659301000610
Vector function
Figure BSA000002659301000611
In the star-wheel space, generate and use vector function family
Figure BSA000002659301000612
(i=1,2 ..., n) Biao Shi a n envelope surface, wherein the i envelope surface is called for short the front side envelope surface
Figure BSA000002659301000613
Or rear side envelope surface
Figure BSA000002659301000614
Be the curved surface A1-A2-A3-A4 among Fig. 2 a.
(2), structure axial plane θ Lj: with the line (a) at the center of described star-wheel and screw rod or be parallel to star-wheel and the straight line of the line at screw rod center (b) is axis L and is done coaxial plane family, be r with vector function for sake of convenience j=θ (θ Lj) (j=1,2 ..., m) expression, θ LjBe family of planes r j=θ (θ Lj) (j=1,2 ..., m) in the characteristic angle on j plane, θ LjBy the value decision of selected reference level and j, wherein axial plane θ is called for short on the j plane LjBe the plane B1-B2-B3-B4 among Fig. 2 a.
(3), structure radial plane u k: making the family of planes perpendicular to axis L, is r with vector function for sake of convenience k=u (u k) (k=1,2 ..., w) expression, u kBe family of planes r k=u (u k) (k=1,2 ..., w) in the intersection point of k plane and axis L along axis L to star-wheel or the distance of screw rod coordinate plane, wherein radial plane u is called for short on the k plane kBe the plane C1-C2-C3-C4 among Fig. 2 a.
(4), structure envelope surface
Figure BSA000002659301000615
Axial plane θ LjWith radial plane u kIntersection point d Ijk min: the intersection point d that constructs described leading flank Ijk minUse the front side envelope surface
Figure BSA000002659301000616
Axial plane θ LjWith radial plane u k, construct the intersection point d of described trailing flank Ijk minUse the rear side envelope surface
Figure BSA000002659301000617
Axial plane θ LjWith radial plane u kStructure intersection point d Ijk minTwo kinds of methods are arranged, i.e. graphical solution and analytic method.
Graphical solution: with the intersection point d of the leading flank of structure star-wheel tooth Ijk minBe example, at first in computer system, construct the front side envelope surface
Figure BSA000002659301000618
Or rear side envelope surface
Figure BSA000002659301000619
Axial plane θ LjWith radial plane u kNext draws the front side envelope surface Or rear side envelope surface
Figure BSA000002659301000621
With axial plane θ LjIntersection l Ij, axial plane θ LjWith radial plane u kIntersection l Jk, radial plane u kWith the front side envelope surface
Figure BSA000002659301000622
Or rear side envelope surface
Figure BSA000002659301000623
Intersection l KiThe 3rd draws three intersection l Ij, l JkAnd l KiThe intersection point d that intersects Ijk, envelope surface
Figure BSA000002659301000624
Family (i=1,2 ..., n) with intersection l JkN intersection point arranged; At last according to along intersection l JkDistance to axis L | d Ijk| value determine intersection point d for minimum principle Ijk min, this point is secondary enveloping surface
Figure BSA000002659301000625
On the point of being asked, such intersection point has m * w.
Analytic method: use the front side envelope surface
Figure BSA000002659301000626
Or rear side envelope surface
Figure BSA000002659301000627
Axial plane θ LjWith radial plane u kConstruct n * m * w set of equations group; Find the solution these set of equation and obtain intersection point d in star-wheel IjkCoordinate figure; Find intersection d then IjkDistance to axis L | d Ijk|; Basis again | d Ijk| for the principle of minimum value is determined intersection point d Ijk min, intersection point d Ijk minBe the point of being asked, such intersection point has m * w.
(5), the secondary enveloping surface of structure star-wheel tooth
Figure BSA00000265930100071
Leading flank with structure star-wheel tooth is an example equally, chooses the front side envelope surface
Figure BSA00000265930100072
Axial plane θ LjWith radial plane u kIn any one face, as axial plane θ Lj, link axial plane θ in order with smoothed curve LjIn all intersection point d Ijk min(k=1,2 ..., w), connection shaft is to family of planes θ again Lj(j=1,2 ..., m) the middle described smoothed curve of m bar promptly constructs secondary enveloping surface A.
Secondly construct the Topland of star-wheel teeth with three concurrent structured approaches:
(1), structure star-wheel addendum envelope
Figure BSA00000265930100073
Get
Figure BSA00000265930100074
(i=1,2 ..., n), by secondary enveloping surface
Figure BSA00000265930100075
Vector function
Figure BSA00000265930100076
In the star-wheel space, generate and use vector function family
Figure BSA00000265930100077
(i=1,2 ..., n) Biao Shi a n envelope surface, wherein the i envelope surface is called for short envelope surface
Figure BSA00000265930100078
Be the curved surface A1-A2-A3-A4 among Fig. 2 b.
(2), structure axial plane θ Lj: with the line (a) at the center of described star-wheel and screw rod or be parallel to star-wheel and the straight line of the line at screw rod center (b) is axis L and is done coaxial plane family, be r with vector function for sake of convenience j=θ (θ Lj) (j=1,2 ..., m) expression, θ LjBe family of planes r j=θ (θ Lj) (j=1,2 ..., m) in the characteristic angle on j plane, θ LjBy the value decision of selected reference level and j, wherein axial plane θ is called for short on the j plane LjBe the B1-B2-B3-B4 among Fig. 2 b.
(3), construct another axial plane θ Lk: in the central plane of star-wheel, making the straight line l perpendicular to described axis L, do the family of planes that axis was made described axis l with straight line l, is r with vector function for sake of convenience k=θ (θ Lk) (k=1,2 ..., w) expression, θ LkBe family of planes r k=θ (θ Lk) (j=1,2 ..., m) in the characteristic angle on k plane, θ LkBy the value decision of selected reference level and k, wherein axial plane θ is called for short on the k plane LkBe the D1-D2-D3-D4 among Fig. 2 b.The central plane of described star-wheel was the central point of star-wheel and perpendicular to the plane of spider gear shaft.
(4), structure envelope surface
Figure BSA00000265930100079
Axial plane θ LjWith another axial plane θ LkIntersection point d Ijk min: structure intersection point d Ijk minTwo kinds of methods are arranged, i.e. graphical solution and analytic method.
Graphical solution: at first in computer system, construct addendum envelope Axial plane θ LjWith another axial plane θ LkNext draws envelope surface
Figure BSA000002659301000711
With axial plane θ LjIntersection l Ij, axial plane θ LjWith another axial plane θ LkIntersection l Jk, axial plane θ LkAnd envelope surface
Figure BSA000002659301000712
Intersection l KiThe 3rd draws three intersection l Ij, l JkAnd l KiIntersect and produce intersection point d Ijk, envelope surface family
Figure BSA000002659301000713
(i=1,2 ..., n) with intersection l JkN intersection point arranged; At last according to along intersection l JkDistance to the star-wheel center | d Ijk| value determine intersection point d for minimum principle Ijk min, this point is secondary enveloping surface
Figure BSA000002659301000714
On the point of being asked, such intersection point has m * w.
Analytic method: same, use addendum envelope Axial plane θ LjWith with another axial plane θ LkConstruct n * m * w set of equations group; Find the solution these set of equation and obtain intersection point d in star-wheel IjkCoordinate figure; Find intersection d then IjkDistance to the star-wheel center | d Ijk|; More definite again | d Ijk| be the intersection point d of minimum value Ijk min, intersection point d Ijk minBe the point of being asked, such intersection point has m * w.
(5), the secondary enveloping surface of structure star-wheel tooth
Figure BSA00000265930100082
Choose addendum envelope
Figure BSA00000265930100083
Axial plane θ LjWith another axial plane θ LkIn any one face, as axial plane θ Lj, link axial plane θ in order with smoothed curve LjIn all intersection point d Ijk min(k=1,2 ..., w), link axial plane θ again LjFamily (j=1,2 ..., m) the middle described smoothed curve of m bar promptly constructs secondary enveloping surface
Figure BSA00000265930100084
At last, utilize leading flank, trailing flank and the Topland of the star-wheel tooth of above step structure, applying three-dimensional software is drawn out the mockup of star-wheel.
Use the star-wheel or the worm gear of three concurrent structured approach design space conjugation engagement pair, can once generate the conjugation contact seal working surface 5 of leading flank among Fig. 1 a, instantaneous surface of contact 6 of compression-side and the instantaneous surface of contact 7 of back pressure side, the conjugation contact seal working surface 10 of trailing flank, instantaneous surface of contact 11 of compression-side and the instantaneous surface of contact 12 of back pressure side, the conjugation contact seal working surface 13 of Topland, instantaneous surface of contact 14 of compression-side and the instantaneous surface of contact 15 of back pressure side, the threaded profile of the profile of star-wheel tooth is the total conjugated engagement, overcome the precision problem that the special plane envelope is brought by machine error, adopt 4-coordinate or five-coordinate linkage machine tooling, its precision is fully controlled at micron order.Reduced difficulty of processing, improved manufacturing efficiency, reduced cost of production, be suitable for producing in enormous quantities.
Essence of the present invention is to intersect the generation intersection point by constructing two auxiliary planes with three of secondary enveloping surfaces, and utilize the minimum range principle to determine that intersection point is on the twice-enveloping profile of space conjugation engagement pair, the method not only is used to construct the star-wheel of single screw compressor, it has extensive applicability, can be applied to cutter, grinding tool, emery wheel in Machine Design or the machine-building; Crowded wheel in the material forming, roll, mould; Cam in the mechanical transmission, gear, worm and gear and anchor ring worm and gear; Single screw compressor in the fluid machinery, single-screw expander, helical-lobe compressor and pump class; The mechanism of precision instrumentation, conjugation engagement and other need the industry-by-industry and the fields such as device of conjugation engagement.

Claims (5)

1. three concurrent structured approaches comprise the mechanical system of three space O, I, II, and wherein the O representative is with reference to space or static space, and I, II represent space, are r at the vector function of I space 1(u, generating surface A v) presses with reference to the space with respect to O=A Motion, the II space is done with reference to the space with respect to O
Figure FSA00000265920000012
Motion,
Figure FSA00000265920000013
Generating surface A envelope in the II space generates first enveloped face B, and the vector function of first enveloped face B is
Figure FSA00000265920000014
Comprise the II space of making generating surface of first enveloped face B, press φ with reference to the space with respect to O 2Motion, the I space is φ with respect to O with reference to the space 1Motion,
Figure FSA00000265920000015
First enveloped face B envelope in the I space goes out secondary enveloping surface Inferior envelope surface
Figure FSA00000265920000017
Vector function be
Figure FSA00000265920000018
It is characterized in that: the structure secondary enveloping surface
Figure FSA00000265920000019
With the following method:
(1), three faces of structure:
The structure envelope surface
Figure FSA000002659200000110
According to secondary enveloping surface
Figure FSA000002659200000111
Vector function
Figure FSA000002659200000112
Get
Figure FSA000002659200000113
(i=1,2 ..., n), obtain secondary enveloping surface
Figure FSA000002659200000114
Vector function family
Figure FSA000002659200000115
(i=1,2 ..., n) Biao Shi a n envelope surface, wherein the i envelope surface is called for short envelope surface
Figure FSA000002659200000116
Structure axial plane θ Lj: with the line (a) at the center of described I space and II space or be parallel to the I space and the straight line of the line at II space center (b) is axis L and is done coaxial plane family, be r with vector function for sake of convenience j=θ (θ Lj) (j=1,2 ..., m) expression, θ LjBe family of planes r j=θ (θ Lj) (j=1,2 ..., m) in the characteristic angle on j plane, θ LjBy the value decision of selected reference level and j, wherein axial plane θ is called for short on the j plane Lj
Structure radial plane u kOr construct another axial plane θ Lk: making the family of planes perpendicular to described axis L, is r with vector function for sake of convenience k=u (u k) (k=1,2 ..., w) expression, u kBe family of planes r k=u (u k) (k=1,2 ..., w) in the intersection point of k plane and axis L along axis L to the I space or the distance of II space coordinate plane, wherein radial plane u is called for short on the k plane kPerhaps in the central plane of I space, making the straight line l perpendicular to described axis L, do the family of planes that axis was made described axis l with straight line l, is r with vector function for sake of convenience k=θ (θ Lk) (k=1,2 ..., w) expression, θ LkBe family of planes r k=θ (θ Lk) (j=1,2 ..., m) in the characteristic angle on k plane, θ LkBy the value decision of selected reference level and k, wherein axial plane θ is called for short on the k plane LkThe central plane of described I space was the central point of I space and perpendicular to the plane of the axis of I space.
(2), the common intersection d of three faces of structure Ijk min:
Utilize envelope surface
Figure FSA000002659200000117
Axial plane θ LjWith radial plane u kThe common intersection d of these three faces of structure Ijk, according to common intersection d IjkDistance to axis L | d Ijk| value determine common intersection d for minimum principle Ijk minPerhaps utilize envelope surface
Figure FSA000002659200000118
Axial plane θ LjWith axial plane θ LkThe common intersection d of these three faces of structure Ijk, according to common intersection d IjkArrive the distance at the center of I space | d Ijk| value determine common intersection d for minimum principle Ijk min
(3), the secondary enveloping surface of structure star-wheel tooth
Figure FSA000002659200000119
Choose envelope surface
Figure FSA00000265920000021
Axial plane θ LjWith radial plane u kOr envelope surface
Figure FSA00000265920000022
Axial plane θ LjWith another axial plane θ LkIn any one face, as axial plane θ Lj, link axial plane θ in order with smoothed curve LjIn all intersection point d Ijk min(k=1,2 ..., w), connection shaft is to family of planes θ again Lj(j=1,2 ..., m) the middle described smoothed curve of m bar promptly constructs the secondary enveloping surface of space conjugation engagement pair
Figure FSA00000265920000023
2. three concurrent structured approaches according to claim 1 is characterized in that: with graphical solution or three crossing common intersection d of analytic method structure Ijk min
3. three concurrent structured approaches according to claim 2 is characterized in that: graphical solution is to utilize three-dimensional software in computer: at first construct envelope surface
Figure FSA00000265920000024
Axial plane θ LjWith radial plane u kNext draws envelope surface
Figure FSA00000265920000025
With axial plane θ LjIntersection l Ij, axial plane θ LjWith radial plane u kIntersection l Jk, radial plane u kAnd envelope surface
Figure FSA00000265920000026
Intersection l KiThe 3rd draws three intersection l Ij, l JkAnd l KiIntersect the common intersection d that produces Ijk, envelope surface family
Figure FSA00000265920000027
(i=1,2 ..., n) with intersection l JkN intersection point arranged; At last according to common intersection d IjkDistance to axis L | d Ijk| value determine common intersection d for minimum principle Ijk minPerhaps at first construct envelope surface Axial plane θ LjWith axial plane θ LkNext draws envelope surface
Figure FSA00000265920000029
With axial plane θ LjIntersection l Ij, axial plane θ LjWith axial plane θ LkIntersection l Jk, axial plane θ LkAnd envelope surface
Figure FSA000002659200000210
Intersection l KiThe 3rd draws three intersection l Ij, l JkAnd l KiIntersect the common intersection d that produces Ijk, envelope surface family
Figure FSA000002659200000211
(i=1,2 ..., n) with intersection l JkN intersection point arranged; At last according to common intersection d IjkArrive the distance at the center of I space | d Ijk| value determine common intersection d for minimum principle Ijk min
4. three concurrent structured approaches according to claim 2, it is characterized in that: analytic method is to utilize envelope surface
Figure FSA000002659200000212
Axial plane θ LjWith radial plane u kConstruct n * m * w set of equations group; Find the solution the intersection point d of these set of equation IjkCoordinate figure; Find intersection d then IjkDistance to axis L | d Ijk|; Again according to intersection point d IjkDistance to axis L | d Ijk| value determine common intersection d for minimum principle Ijk minPerhaps use envelope surface
Figure FSA000002659200000213
Axial plane θ LjWith axial plane θ LkConstruct n * m * w set of equations group; Find the solution the intersection point d of these set of equation IjkCoordinate figure; Find intersection d then IjkDistance to I space central point | d Ijk|; According to intersection point d IjkArrive the distance at the center of I space | d Ijk| value determine common intersection d for minimum principle Ijk min
5. star-wheel with the single screw compressor of three concurrent structured approaches structure, the star-wheel tooth comprises leading flank, trailing flank and Topland, it is characterized in that: the secondary enveloping surface of star-wheel
Figure FSA000002659200000214
Be divided into the front side envelope surface
Figure FSA000002659200000215
The rear side envelope surface
Figure FSA000002659200000216
And addendum envelope
Figure FSA000002659200000217
Use the front side envelope surface
Figure FSA000002659200000218
Axial plane θ LjWith radial plane u kThe leading flank of structure star-wheel is used the rear side envelope surface
Figure FSA000002659200000219
Axial plane θ LjWith radial plane u kThe trailing flank of structure star-wheel is used addendum envelope
Figure FSA000002659200000220
Axial plane θ LjWith axial plane θ LkThe Topland of structure star-wheel.
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CN105927726A (en) * 2016-06-22 2016-09-07 西安交通大学 Disc type star wheel piece for single-screw compressor and forming process of disc type star wheel piece
CN113059236A (en) * 2021-04-22 2021-07-02 江西奥夫科压缩机有限公司 Method for manufacturing screw and star wheel

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CN1664371A (en) * 2005-03-17 2005-09-07 西安交通大学 Method for designing a profile enveloped by multi straight lines of engagement pair for single screw compressor
CN101153596A (en) * 2006-09-29 2008-04-02 上海开利涡普机械有限公司 Compound spider piece used for single-screw compressor
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JPH1077093A (en) * 1996-09-02 1998-03-24 Shintaku Kogyo Kk Rotary filling machine, and nozzle sterilizing method for rotary filling machine
DE10254373B3 (en) * 2002-11-21 2004-01-08 Kampwerth Umwelttechnik Gmbh + Co. Kg Screw compactor for pressing waste pieces
CN1619149A (en) * 2003-11-21 2005-05-25 邹汉华 Calculation of star wheel secondary enveloping surface and processing method
CN1664371A (en) * 2005-03-17 2005-09-07 西安交通大学 Method for designing a profile enveloped by multi straight lines of engagement pair for single screw compressor
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CN105927726A (en) * 2016-06-22 2016-09-07 西安交通大学 Disc type star wheel piece for single-screw compressor and forming process of disc type star wheel piece
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CN113059236A (en) * 2021-04-22 2021-07-02 江西奥夫科压缩机有限公司 Method for manufacturing screw and star wheel
CN113059236B (en) * 2021-04-22 2022-07-26 江西奥夫科压缩机有限公司 Method for manufacturing screw and star wheel

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