Tooth profile of double-screw compressor rotor
Technical Field
The utility model relates to a rotor end face tooth profile of a screw compressor, in particular to a rotor profile of a double-screw compressor.
Background
The screw compressor has the advantages of high reliability, good power balance, less leakage, high efficiency and the like, and is widely applied to the industries of refrigeration, mines, petrifaction and the like. The rotor of the double-screw compressor has a crucial influence on the performance of the whole compressor, and the rotor profile directly determines the performance of the rotor of the double-screw compressor, so that the optimal design of the double-screw compressor depends on the design of the rotor profile. The rotor profiles of the existing foreign twin-screw compressor with excellent performance mainly comprise a German GHH profile, a Japanese Hitachi profile and a Swedish SRM-D asymmetric profile, which do not reach the optimal balance to the maximum extent in the aspects of geometrical characteristics such as small leakage triangle area, large tooth space area, short contact line and the like, and the optimization design of the rotor profiles can be realized only by improving the geometrical properties in the aspects, so that the internal flow area of the twin-screw compressor is large, the leakage is small, on the other hand, the internal gas pulsation generated by the relative motion of a female rotor and a male rotor is small, the noise in the operation of the compressor is low, and the working efficiency of the twin-screw compressor is improved.
Disclosure of Invention
The technical problem to be solved by the utility model is to provide a screw compressor rotor tooth profile, and the compressor with the tooth profile can realize optimal meshing between a male rotor and a female rotor in the working process, two adjacent sections form tooth curves which are in smooth transition at a connecting point, the number of the rotor teeth is larger, larger pressure difference can be borne, the utilization coefficient of the rotor area is larger, the contact line is shorter, the leakage triangle is relatively smaller, the female rotor profile is streamline, and the pulsation of gas in the compressor is reduced, so that the working efficiency of the screw compressor is improved.
According to the tooth profile of the rotor of the twin-screw compressor provided by the embodiment of the utility model, the twin-screw compressor comprises a female rotor and a male rotor, and is characterized in that each tooth profile of the end surface of the female rotor is formed by smoothly connecting six sections of curves end to end, and each tooth profile of the end surface of the male rotor is formed by smoothly connecting six sections of curves end to end, wherein: the tooth curve of the end face of the male rotor comprises an arc line, an arc envelope line and an elliptic envelope line; the tooth curve of the end face of the female rotor comprises an arc line, an arc envelope line and an elliptic arc line.
The embodiment of the utility model designs a novel screw compressor rotor tooth profile by combining a geometric method and a particle swarm algorithm, and compared with other molded lines, the rotor molded line has the following advantages:
1. the molded lines of the female rotor in the embodiment of the utility model are designed into a streamline shape, so that the disturbance resistance of airflow is reduced, the loss is reduced, the noise is reduced, the operation efficiency of the rotor is improved, the rotor expands under the high-temperature condition, the gap between the female rotor and the male rotor is not uniform, the tooth profile of the female rotor consists of an arc envelope line, an arc and an elliptic arc, and the adjustment is easy according to the inconsistency of the gap;
2. the female rotor of the embodiment of the utility model adopts a proper tooth depth radius, so that the female rotor is very suitable for a large-flow compressor, and simultaneously keeps a deep tooth thickness, so that the rotor achieves a good rigidity condition;
3. the embodiment of the utility model realizes the optimization of the rotor profile, reduces the area of the leakage triangle as much as possible under the condition that the length of the contact line is smaller, reduces the leakage of the compressor to a greater extent, and has higher relative volumetric efficiency.
Drawings
FIG. 1 is a schematic view of an example of female and male rotors of the present invention as they intermesh.
Fig. 2 is a schematic view of the tooth profile of the female rotor of the present invention.
Fig. 3 is a schematic view of the tooth profile of the male rotor of the present invention.
In the figure: o1 is the axis of the male rotor, O2 is the axis of the female rotor; mj is the pitch circle of the male rotor, R1 is the pitch circle radius of the male rotor; fj is the pitch circle of the female rotor, R2 is the pitch circle radius of the female rotor; a is the center-to-center distance of the two rotors, a = R1+ R2; o3 is the center of the female rotor arc A2B2, R3 is the radius of the female rotor arc A2B 2; o4 is the center of the female rotor arc B2C2, R4 is the radius of the female rotor arc B2C 2; o5 is the center of the female rotor elliptical arc C2D 2; o6 is the center of female rotor arc E2a2, R6 is the radius of female rotor arc E2a 2; o7 is the center of the female rotor arc F2E2, R7 is the radius of the female rotor arc E2F 2; o8 is the center of the male rotor arc G1F1 and R8 is the radius of the male rotor arc G1F 1.
Detailed Description
The tooth profile of the rotor of the twin-screw compressor according to the utility model is described in detail below with reference to the figures and the specific examples.
Please refer to fig. 1 to 3. The rotor tooth shapes of the female rotor F and the male rotor M of the double-screw compressor are bilateral asymmetric, and the number of teeth on the female rotor F is more than that on the male rotor M. In this embodiment, the ratio of the teeth of the male rotor M to the female rotor F is 4: 5.
According to the tooth profile of the rotor of the dry type twin-screw compressor provided by the embodiment of the utility model, the twin-screw compressor comprises a female rotor F and a male rotor M. Each profile of tooth of the terminal surface of negative rotor F is formed by six sections curve end to end smooth connections, and each profile of the terminal surface of positive rotor M is formed by six sections curve end to end smooth connections, wherein: the tooth curve of the end face of the male rotor comprises an arc line, an arc envelope line and an elliptic envelope line; the tooth curve of the end face of the female rotor comprises an arc line, an arc envelope line and an elliptic arc line. In this embodiment: the tooth curves of the tooth types on the end surface of the female rotor comprise the following smoothly connected tooth curves in sequence: an arc envelope G2F2, an arc F2E2, an arc E2A2, an arc A2B2, an arc B2C2, and an elliptical arc C2D 2; the tooth curves of the tooth types of the male rotor comprise the following smoothly connected sequences: an arc G1F1, an arc envelope F1E1, an arc envelope E1A1, an arc envelope A1B1, an arc envelope B1C1, and an elliptical arc envelope C1D 1.
The circular arc envelope G2F2 of each tooth type of the female rotor is a section of circular arc envelope of a track formed by the motion of a female rotor pitch circle relative to a male rotor circular arc G1F1 when the female rotor pitch circle rolls along a male rotor pitch circle; each tooth type circular arc G1F1 of the male rotor is a section of circular arc which takes O8 outside a female rotor pitch circle as a center and has the radius n7 times the radius of the male rotor pitch circle, n7 is a positive number which is more than 0.5 and less than or equal to 0.7, the circular arc G1F1 is smoothly connected with the terminal point of the other adjacent tooth of the male rotor at the starting point G1 and is smoothly connected with an envelope curve F1E1 at the terminal point F1;
each tooth-shaped arc F2E2 of the female rotor is a segment of arc with the radius n1 times the pitch circle radius of the female rotor and the center of O7 outside the pitch circle of the female rotor, wherein n1 is a positive number which is more than 0.5 and less than or equal to 0.7; the arc F2E2 is tangentially connected with the arc envelope G2F2 at the starting point F2 and is smoothly connected with the arc E2A2 at the terminal point E2; the circular arc envelope curve F1E1 of each tooth type of the male rotor is a section of circular arc envelope curve of a track formed by the motion of a male rotor pitch circle relative to a female rotor circular arc F2E2 when the male rotor pitch circle rolls along a female rotor pitch circle;
each tooth-shaped circular arc E2A2 of the female rotor is a section of circular arc with the radius n2 times the pitch circle radius of the female rotor and the center of O6 outside the pitch circle of the male rotor, wherein n2 is a positive number which is more than 0.2 and less than or equal to 0.3; the arc E2A2 is tangentially connected with the arc F2E2 at the starting point E2 and is smoothly connected with the arc A2B2 at the terminal point A2; the circular arc envelope line E1A1 of each tooth type of the male rotor is a section of circular arc envelope line of a track formed by the motion of a male rotor pitch circle relative to a female rotor circular arc E2A2 when the male rotor pitch circle rolls along a female rotor pitch circle;
each tooth-shaped arc A2B2 of the female rotor is a segment of arc with the radius n3 times the pitch circle radius of the female rotor and the center of O3 in the pitch circle of the female rotor, wherein n3 is a positive number which is more than 0.3 and less than or equal to 0.6; the arc A2B2 is smoothly connected with the arc E2A2 at the starting point A2 and is tangentially connected with the arc B2C2 at the terminal point B2; the circular arc envelope line A1B1 of each tooth type of the male rotor is a section of circular arc envelope line of a track formed by the motion of a male rotor pitch circle relative to a female rotor circular arc A2B2 when the male rotor pitch circle rolls along a female rotor pitch circle;
each tooth-shaped circular arc B2C2 of the female rotor is a section of circular arc which takes O4 in a pitch circle of the female rotor as the center of a circle and has the radius of n4 times the radius of the pitch circle of the female rotor, and n4 is a positive number which is more than 0.7 and less than or equal to 0.9; the arc B2C2 is smoothly connected with the arc A2B2 at the starting point B2 and is tangentially connected with the elliptical arc C2D2 at the terminal point C2; the circular arc envelope line B1C1 of each tooth type of the male rotor is a section of circular arc envelope line of a track formed by the motion of a male rotor pitch circle relative to a female rotor circular arc B2C2 when the male rotor pitch circle rolls along a female rotor pitch circle;
the elliptical arc C2D2 of each tooth shape of the female rotor is an elliptical arc which takes O5 in the pitch circle of the female rotor as the center, the major axis is n5 times the pitch circle radius of the female rotor, the minor axis is n6 times the pitch circle radius of the female rotor, n5 is a positive number which is more than 0.5 and less than or equal to 0.8, and n6 is a positive number which is more than 0.3 and less than or equal to 0.5; the elliptic arc C2D2 is smoothly connected with the circular arc B2C2 at the starting point C2 and is tangentially connected with the starting point of the adjacent other tooth of the female rotor at the terminal point D2; the elliptical arc envelope C1D1 of each tooth of the male rotor is an elliptical arc envelope of a track formed by the motion of the male rotor pitch circle relative to the female rotor elliptical arc C2D2 as it rolls along the female rotor pitch circle.
Compared with the prior art, the tooth shapes of the end surfaces of the female rotor and the male rotor in the embodiment of the utility model have the advantages that under the condition that the length of the contact line is reduced by 11.67%, the area utilization coefficient is improved by 8.54%, the area of the leakage triangle is reduced by 4.35%, so that the tooth shape area utilization coefficient is increased, the leakage of the rotor is reduced, the pressure difference which can be borne by the compressor is improved, and the tooth shapes are particularly suitable for the working conditions of high temperature and large flow.