Rotor profile of double-screw vacuum pump
Technical Field
The invention belongs to the field of mechanical engineering design, and particularly relates to a rotor profile of a double-screw vacuum pump.
Background
The dry-type twin-screw vacuum pump is a volumetric oil-free vacuum pump, is mostly used for obtaining a dry and low-pollution high-vacuum environment, and has wide application in modern industry. The screw pump inherits the advantages of long mechanical service life, forced air suction and exhaust, no easily-damaged parts, reliable operation, small vibration, low noise, stable work, no surge phenomenon and the like, and becomes a research hotspot in the field of vacuum pumps.
The core components in the double-screw vacuum pump are two rotors, and the selection of the molded lines of the end faces of the rotors directly influences the structures of the rotors, so that the processing mode and the operation performance of the vacuum pump are influenced. In order to facilitate machining of the conventional vacuum pump profile, the two rotors usually adopt the same profile, but because the two rotors have opposite rotating directions in the operation process, the two rotors formed by the two rotors are two different rotors with different rotating directions, and the two rotors need to be machined and manufactured respectively, so that the machining cost is increased.
Disclosure of Invention
The present invention is directed to solve the above problems in the prior art, and an object of the present invention is to provide a rotor profile of a twin-screw vacuum pump, which enables the two rotors to have the same structure, thereby reducing the manufacturing cost of the vacuum pump.
In order to achieve the purpose, the invention adopts the technical scheme that: one of them rotor includes that the head and the tail links to each other in proper order first involute ab, addendum circle segmental arc bc, point meshing cycloid cd, the second involute de, first point meshing epicycloid ef, dedendum circle segmental arc fg and second point meshing epicycloid ga, and molded lines a point is located the pitch circle, and addendum circle segmental arc bc is located the addendum circle, and dedendum circle segmental arc fg is located the dedendum circle, pitch circle, addendum circle, dedendum circle be the concentric circles, and satisfy
The other rotor has the same structure and comprises a first involute a 'b', an addendum circular arc section b 'c', a point meshing cycloid c'd', a second involute d 'e', a first point meshing epicycloid e 'f', a tooth root circular arc section f 'g' and a second point meshing epicycloid g 'a' which are sequentially connected end to end; in the rotating meshing process, a molded line a point is meshed with a point meshing cycloid c'd ', a first involute ab is meshed with a second involute d ' e ', a molded line b point is meshed with a first point meshing epicycloid e ' f ', an addendum circular arc section bc is meshed with a tooth root circular arc section f ' g ', a molded line c point is meshed with a second point meshing epicycloid g ' a ', a point meshing cycloid cd is meshed with a molded line a ' point, a second involute de is meshed with a first involute a ' b ', a first point meshing epicycloid ef is meshed with a molded line b ' point, a tooth root circular arc section fg is meshed with an addendum circular arc section b ' c ', and a second point meshing epicycloid ga is meshed with a molded line c ' point.
The parameter equation of the first involute ab, the first involute a 'b', the second involute de and the second involute d 'e' under the polar coordinate system is as follows:
wherein r is a geometric parameter satisfying r<r Pitch circle ;
Parameters of the ab section and the a 'b' section are taken as rho 1 =r Pitch circle ,ρ 2 =r Addendum circle ;
Taking the parameters of the de section and the d 'e' section as rho 1 =ρ Intersection point ,ρ 2 =r Pitch circle WhereinThis was achieved as follows:
the parametric equation of the point meshing cycloid cd, the first point meshing epicycloid ef, the second point meshing epicycloid ga, the point meshing cycloid c'd', the first point meshing epicycloid e 'f' and the second point meshing epicycloid g 'a' under the rectangular coordinate system is as follows:
the parameters of the section ga and the section g 'a' are taken as r = r Addendum circle Range ρ (θ) E (r) Root circle of tooth ,r Pitch circle );
The parameters of the cd section and the c'd' section are taken as r = r Pitch circle The range rho (theta) epsilon (r) Pitch circle ,r Addendum circle );
The parameters of ef section and e' f section are taken as r = r Addendum circle Range ρ (θ) E (r) Root circle of tooth ,ρ Intersection point );
WhereinThis was achieved as follows:
wherein
The addendum arc section bc is equal to the rotation angle corresponding to the dedendum arc section fg, and the addendum arc section b 'c' is equal to the rotation angle corresponding to the dedendum arc section f 'g'.
The radii of the addendum circle and the dedendum circle are determined according to the ultimate vacuum degree and the air extraction rate.
The arc corner of the addendum circle and the dedendum circleIn the formula [ theta ] Curve of non-circular shape Is the sum of the curve angles.
Compared with the prior art, the vacuum pump has the advantages that the first involute, the tooth top arc section, the point meshing cycloid, the second involute, the first point meshing epicycloid, the tooth root arc section and the second point meshing epicycloid which are sequentially connected end to end realize the continuous profile everywhere, one to a plurality of meshing points exist at each corner, and the sealing performance of the vacuum pump is ensured. The invention adopts the original single-head double-screw vacuum pump molded line as the original shape to be reformed, in the original molded line, the a curve of two circular arc connecting lines is meshed with the a curve of the other rotor, the b curve is meshed with the b curve, in order to ensure the similarity of the molded lines of the end surfaces of the two rotors, the molded lines of the two rotors must be completely the same, so that the structures of the male rotor and the female rotor have opposite rotation directions, the molded line of the invention is meshed with the b curve through the a curve, thereby realizing the symmetry of the molded line and ensuring the consistency of the structures of the male rotor and the female rotor. The double-screw vacuum pump adopts the molded line to enable the structures of the male rotor and the female rotor to be completely the same, improves the processing rate, avoids the phenomenon of unmatched male rotor and female rotor, reduces the processing cost, and has the advantages of less easily-damaged parts, compact structure, high air exhaust rate, no surge, low vibration noise and the like compared with other conventional pump types.
Drawings
FIG. 1 is a schematic view of original rotor profiles;
FIG. 2 is a schematic view of a rotor profile of the present invention;
FIG. 3 is a schematic view of a rotor profile engagement of the present invention;
FIG. 4 is a schematic view of the meshing operation of the rotor profiles of the present invention: the (a) to (h) are schematic diagrams in different operating states.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings.
Referring to fig. 1, the original single-head double-screw vacuum pump profile is adopted to be an original shape, namely, the vacuum pump profile can be reformed, in the original profile, the curve a of the two arc connecting lines is meshed with the curve a of the other rotor, the curve b of the two arc connecting lines is meshed with the curve b of the other rotor, in order to ensure the similarity of the profiles of the end faces of the two rotors, the profiles of the two rotors are completely identical, so that the structures of the male rotor and the female rotor have opposite rotation directions, the profile of the vacuum pump profile is meshed with the curve b of the two arc connecting lines through the curve a, the symmetry of the profiles is realized, and the consistency of the structures of the male rotor and the female rotor is ensured.
Referring to fig. 2-3 and fig. 4 (a) -4 (h), the rotor profile of the twin-screw vacuum pump of the present invention is composed of a first involute, a tooth crest arc segment, a point meshing cycloid, a second involute, a first point meshing epicycloid, a tooth root arc segment, and a second point meshing epicycloid, which are sequentially connected end to end. The molded line a point is positioned on the pitch circle, in the rotating and meshing process, the molded line a point is meshed with a point meshing cycloid c'd ', a first involute ab is meshed with a second involute d ' e ', the molded line b is meshed with a first point meshing epicycloid e ' f ', the tooth top circular arc segment bc is meshed with a tooth root circular arc segment f ' g ', the molded line c is meshed with a second point meshing epicycloid g ' a ', the point meshing cycloid cd is meshed with the molded line a ' point, the second involute de is meshed with the first involute a ' b ', the first point meshing epicycloid ef is meshed with the molded line b ' point, the tooth bottom circular arc segment fg is meshed with the tooth top circular arc segment b ' c ', and the second point meshing epicycloid is meshed with the molded line c ' point. The profile is continuous everywhere, and the specific design steps are as follows (taking one rotor as an example):
1. the ultimate vacuum degree and the pumping speed are optimized to r Addendum circle And r Root circle of tooth
2. The pitch circle, the addendum circle and the dedendum circle are concentric circles,and determining the pitch circle position.
3. The parameter equation of the involute in a polar coordinate system is as follows:
wherein r is preferably selected from r = r Root circle of tooth ;
ab segment parameter is taken as ρ 1 =r Pitch circle ,ρ 2 =r Addendum circle ,
de section parameter is taken as rho 1 =ρ Intersection point ,ρ 2 =r Pitch circle In whichThis was achieved as follows:
wherein
From this, ab, de run-off segments are determined.
4. The parameter equation of the cycloid in the rectangular coordinate system is as follows:
the ag section parameter is taken as r = r Addendum circle Range rho (theta) epsilon (r) Root circle of tooth ,r Pitch circle )
The cd section parameter is taken as r = r Pitch circle Range rho (theta) epsilon (r) Pitch circle ,r Addendum circle )
The ef section parameter is taken as r = r Addendum circle Range rho (theta) epsilon (r) Root circle of tooth ,ρ Intersection point ),
Where ρ is Intersection point Rho compared with step 3 Intersection point The ag, cd, ef cycloid segments are thus determined for the same parameters.
The tooth top arc section and the tooth root arc section have the same corresponding rotation angle.
The sum of the curve rotation angles determined in the steps 1-4 is theta Curve of non-circular To find the angle of rotation of each segment of arcTherefore, the tooth top arc section and the tooth root arc section are determined.
The invention can ensure that the molded lines of the two rotors of the double-screw vacuum pump meet the meshing law and are completely symmetrical, thereby ensuring that the two rotors of the double-screw vacuum pump have completely the same structure and reducing the processing cost of the rotors.