Full-ellipse and ellipse enveloping type double-screw rotor, compressor and expander

文档序号:1625529 发布日期:2020-01-14 浏览:16次 中文

阅读说明:本技术 一种全椭圆及椭圆包络型双螺杆转子及压缩机、膨胀机 (Full-ellipse and ellipse enveloping type double-screw rotor, compressor and expander ) 是由 李丹童 何志龙 韦炜 林栋� 邢子文 于 2019-11-01 设计创作,主要内容包括:一种全椭圆及椭圆包络型双螺杆转子及压缩机、膨胀机,包括在转动过程中能够实现相互啮合的阳转子和阴转子,阳转子型线的单齿齿形由首尾依次连接的齿根圆弧段,椭圆包络线段,椭圆弧段,椭圆弧段,椭圆包络线段组成;阴转子型线的单齿齿形由首尾依次连接的齿顶圆弧段,椭圆弧段,椭圆包络线段,椭圆包络线段,椭圆段组成;阳转子型线与阴转子型线各自的相邻曲线段交点处连续且斜率连续;按照阴阳转子型线的齿数分别进行重复旋转生成单齿齿形,并依次首尾连接而生成完整的阴阳转子型线。本发明转子型线全部由椭圆及其包络线组成,消除了尖点,并且依据设计工况需要,转子形状灵活可调,提高了性能。(A full-ellipse and ellipse enveloping type double-screw rotor, a compressor and an expander comprise a male rotor and a female rotor which can be meshed with each other in the rotating process, wherein the single-tooth profile of the male rotor profile consists of a tooth root arc section, an ellipse enveloping line section, an ellipse arc section and an ellipse enveloping line section which are sequentially connected end to end; the single-tooth profile of the female rotor profile consists of an addendum circular arc section, an elliptic envelope line section and an elliptic section which are sequentially connected end to end; the intersection points of the adjacent curve sections of the male rotor molded line and the female rotor molded line are continuous and have continuous slopes; and respectively carrying out repeated rotation according to the tooth number of the female-male rotor molded line to generate a single-tooth form, and sequentially connecting the teeth end to generate a complete female-male rotor molded line. The rotor profile of the invention is composed of ellipse and envelope line, eliminating sharp point, and according to the design condition, the shape of the rotor is flexible and adjustable, improving the performance.)

1. A full-ellipse and ellipse enveloping type double-screw rotor is characterized in that: comprising a male rotor and a female rotor which can be brought into engagement with each other during rotation, the profile A of the male rotor profile being single-tooth1A2A3A4A5A6The tooth root arc sections A are connected in sequence from head to tail1A2Elliptical envelope line segment A2A3Oval arc segment A3A4Oval arc segment A4A5Elliptical envelope line segment A5A6Composition is carried out; single tooth profile B of female rotor profile1B2B3B4B5B6Addendum arc section B sequentially connected from head to tail1B2Oval arc section B2B3Line segment B of ellipse envelope3B4Line segment B of ellipse envelope4B5Oval segment B5B6Composition is carried out; wherein, the line segment A in the molded lineiAi+1And line segment BiBi+1(i ═ 1,2,3,4,5)) to engage; male rotor profile A1A2A3A4A5A6The intersection point of the adjacent curve segments is continuous and the slope is continuous; female rotor profile B1B2B3B4B5B6The intersection point of the adjacent curve segments is continuous and the slope is continuous; number of teeth n according to the profile of the male-female rotor1、n2Respectively repeatedly rotating to generate n1、n2The single-tooth shapes are arranged in a strip manner and are sequentially connected end to generate a complete female-male rotor profile.

2. The fully elliptical and elliptical envelope type twin screw rotor as defined in claim 1 wherein:

the addendum circle radius of the female rotor profile is rfC is the parameter center distance, and the tooth root circular arc section A1A2The parameter equation of (1) is as follows:

Figure FDA0002257960720000011

wherein the content of the first and second substances,∠A2OmA6by solving for curve segment A2A3A4A5A6This is given later.

3. The fully elliptical and elliptical envelope type twin screw rotor as defined in claim 1 wherein:

elliptical envelope line segment A of male rotor molded line2A3Elliptical arc section B of female rotor profile2B3Meshing with each other;

elliptical envelope line segment A2A3The parameter equation of (1) is as follows:

Figure FDA0002257960720000013

c is a parameter center distance and is introduced into the elliptical arc section B2B3The parameter equation of (2):

Figure FDA0002257960720000014

so as to obtain the compound with the characteristics of,

Figure FDA0002257960720000021

wherein r isfIs yinThe relationship of rotor tooth tip radii, α, and θ, is derived from the meshing theorem and is expressed as:

Figure FDA0002257960720000022

wherein the parameters

Figure FDA0002257960720000023

4. The fully elliptical and elliptical envelope type twin screw rotor as defined in claim 1 wherein:

elliptical arc section A of male rotor profile3A4The parameter equation of (1) is as follows:

Figure FDA0002257960720000026

wherein the parameters

Figure FDA0002257960720000028

5. The fully elliptical and elliptical envelope type twin screw rotor as defined in claim 1 wherein:

elliptical arc section A of male rotor profile4A5The parameter equation of (1) is as follows:

Figure FDA00022579607200000210

wherein the parameters

Figure FDA00022579607200000211

6. The fully elliptical and elliptical envelope type twin screw rotor as defined in claim 1 wherein:

elliptical envelope line segment A of male rotor molded line5A6Elliptical arc section B of female rotor profile5B6The two parts are engaged with each other,

elliptical envelope line segment A5A6The parameter equation of (1) is as follows:

c is a parameter center distance and is introduced into the elliptical arc section B5B6The parameter equation of (2):

Figure FDA0002257960720000032

so as to obtain the compound with the characteristics of,

Figure FDA0002257960720000033

wherein r isfThe relationship between α and θ, which is the radius of the tooth top circle of the female rotor, is derived from the meshing theorem and is expressed as:

Figure FDA0002257960720000034

wherein the parameters

Figure FDA0002257960720000035

7. The fully elliptical and elliptical envelope type twin screw rotor as defined in claim 1 wherein:

the addendum circle radius of the male rotor profile is rmAddendum circle arc segment B1B2The parameter equation of (1) is as follows:

Figure FDA0002257960720000038

wherein

Figure FDA0002257960720000039

8. The fully elliptical and elliptical envelope type twin screw rotor as defined in claim 1 wherein:

oval segment B of female rotor profile2B3Elliptical envelope line segment A with male rotor profile2A3Meshing with each other;

oval segment B2B3The parameter equation of (1) is as follows:

Figure FDA00022579607200000310

wherein the parameters

Figure FDA0002257960720000041

elliptical envelope line segment B of female rotor molded line3B4With an elliptical arc segment A3A4Meshing, the parametric equation of which is expressed as:

Figure FDA0002257960720000044

c is a parameter center distance and is introduced into the elliptical arc section A3A4The parameter equation of (2):

Figure FDA0002257960720000045

so as to obtain the compound with the characteristics of,

Figure FDA0002257960720000046

wherein r ismFor the addendum radius of the male rotor profile, the relationship between α and θ can be derived from the meshing theorem and is expressed as:

Figure FDA0002257960720000047

wherein the parameters For a designable variable, n1Number of teeth of male rotor, n2The number of teeth of the female rotorAfter all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

9. The fully elliptical and elliptical envelope type twin screw rotor as defined in claim 1 wherein:

elliptical envelope line segment B of female rotor molded line4B5With elliptical arc segment A of the male rotor profile4A5Meshing with each other;

elliptical envelope line segment B4B5The parameter equation of (1) is as follows:

Figure FDA00022579607200000411

c is a parameter center distance and is introduced into the elliptical arc section A4A5The parameter equation of (2):

Figure FDA0002257960720000051

so as to obtain the compound with the characteristics of,

Figure FDA0002257960720000052

wherein r ismFor the male rotor addendum radius, the relationship between α and θ can be derived from the meshing theorem and is expressed as:

Figure FDA0002257960720000053

wherein the parameters

Figure FDA0002257960720000054

elliptical arc segment B of female rotor profile5B6The parameter equation of (1) is as follows:

Figure FDA0002257960720000057

wherein the parameters

Figure FDA0002257960720000058

10. A compressor or expander having a fully elliptical and elliptical envelope type twin screw rotor as defined in any one of claims 1 to 9.

Technical Field

The invention belongs to the field of mechanical design, and relates to a full-ellipse and ellipse enveloping type double-screw rotor, a compressor and an expander.

Background

The double-screw compressor is a positive displacement rotary pump, can be used for obtaining high-pressure fluid and transporting fluid working media, and has wide application in modern industry. The double-screw compressor inherits the advantages of long service life of the rotary machine, reliable operation, small vibration, low noise, stable work, no surge phenomenon and the like, has the characteristics of no wearing parts such as an air valve and the like, forced air suction and exhaust, simple processing and the like, and is the main type of units such as the air compressor, the commercial refrigerator and the like. The core components of the double-screw compressor are two rotors, the structure of the rotors is determined by the selection of the rotor profiles, so that the overall operation performance of the compressor is influenced, and the optimal design of the rotors is also a key technology for manufacturing the high-performance double-screw compressor. However, the original molded line of the rotor of the existing double-screw compressor has sharp points, so that the abrasion resistance of the rotor is poor, and the flow resistance loss of the working medium is large. The problem that the design parameter space of the arc envelope type double-screw rotor profile with the sharp point is insufficient can be solved, and the performance of the rotor profile cannot be optimized.

Disclosure of Invention

The invention aims to solve the problems that the molded line of the double-screw rotor in the prior art has sharp points and the space of design parameters is insufficient, and provides a full-ellipse and ellipse enveloping type double-screw rotor, a compressor and an expander.

In order to achieve the purpose, the invention has the following technical scheme:

a full-elliptic or elliptic double-screw rotor is composed of male and female rotors engaged with each other during rotation, and the single-tooth profile A of male rotor1A2A3A4A5A6The tooth root arc sections A are connected in sequence from head to tail1A2Elliptical envelope line segment A2A3Oval arc segment A3A4Oval arc segment A4A5Elliptical envelope line segment A5A6Composition is carried out; single tooth profile B of female rotor profile1B2B3B4B5B6Addendum arc section B sequentially connected from head to tail1B2Oval arc section B2B3Line segment B of ellipse envelope3B4Line segment B of ellipse envelope4B5Oval segment B5B6Composition is carried out; wherein, the line segment A in the molded lineiAi+1And line segment BiBi+1(i ═ 1,2,3,4,5)) to engage; male rotor profile A1A2A3A4A5A6The intersection point of the adjacent curve segments is continuous and the slope is continuous; female rotor profile B1B2B3B4B5B6The intersection point of the adjacent curve segments is continuous and the slope is continuous; number of teeth n according to the profile of the male-female rotor1、n2Respectively repeatedly rotating to generate n1、n2The single-tooth shapes are arranged in a strip manner and are sequentially connected end to generate a complete female-male rotor profile.

The addendum circle radius of the female rotor profile is rfC is the parameter center distance, and the tooth root circular arc section A1A2The parameter equation of (1) is as follows:

Figure BDA0002257960730000028

wherein the content of the first and second substances,

Figure BDA0002257960730000021

∠A2OmA6by solving for curve segment A2A3A4A5A6This is given later.

Elliptical envelope line segment A of male rotor molded line2A3Elliptical arc section B of female rotor profile2B3Meshing with each other;

elliptical envelope line segment A2A3The parameter equation of (1) is as follows:

c is the center distance of the parameterElliptic arc section B2B3The parameter equation of (2):

Figure BDA0002257960730000023

so as to obtain the compound with the characteristics of,

Figure BDA0002257960730000024

wherein r isfThe relationship between α and θ, which is the radius of the tooth top circle of the female rotor, is derived from the meshing theorem and is expressed as:

Figure BDA0002257960730000025

wherein the parameters

Figure BDA0002257960730000026

For a designable variable, n1Number of teeth of male rotor, n2The number of teeth of the female rotor

Figure BDA0002257960730000027

After all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

Elliptical arc section A of male rotor profile3A4The parameter equation of (1) is as follows:

Figure BDA0002257960730000031

wherein the parametersTo a designable variable, rmRadius of addendum circle of male rotorAfter all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

Elliptical arc section A of male rotor profile4A5The parameter equation of (1) is as follows:

wherein the parameters

Figure BDA0002257960730000035

To a designable variable, rmRadius of addendum circle of male rotor

Figure BDA0002257960730000036

After all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

Elliptical envelope line segment A of male rotor molded line5A6Elliptical arc section B of female rotor profile5B6The two parts are engaged with each other,

elliptical envelope line segment A5A6The parameter equation of (1) is as follows:

Figure BDA0002257960730000037

c is a parameter center distance and is introduced into the elliptical arc section B5B6The parameter equation of (2):

Figure BDA0002257960730000038

so as to obtain the compound with the characteristics of,

Figure BDA0002257960730000039

wherein r isfThe relationship between α and θ, which is the radius of the tooth top circle of the female rotor, is derived from the meshing theorem and is expressed as:

Figure BDA0002257960730000041

wherein the parameters

Figure BDA0002257960730000042

For a designable variable, n1Number of teeth of male rotor, n2The number of teeth of the female rotor

Figure BDA0002257960730000043

After all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

The addendum circle radius of the male rotor profile is rmAddendum circle arc segment B1B2The parameter equation of (1) is as follows:

wherein

Figure BDA0002257960730000045

∠B2OfB6By solving for curve segment B2B3B4B5B6This is given later.

Oval segment B of female rotor profile2B3Elliptical envelope line segment A with male rotor profile2A3Meshing with each other;

oval segment B2B3The parameter equation of (1) is as follows:

Figure BDA0002257960730000046

wherein the parameters

Figure BDA0002257960730000047

To a designable variable, rfRadius of the tooth top of the female rotor

Figure BDA0002257960730000048

After all curve segments are solved, the geometrical condition that the intersection points of adjacent curve segments are continuous and the slope is continuous is utilized to solve;

elliptical envelope line segment B of female rotor molded line3B4With an elliptical arc segment A3A4Meshing, the parametric equation of which is expressed as:

Figure BDA0002257960730000049

c is a parameter center distance and is introduced into the elliptical arc section A3A4The parameter equation of (2):

Figure BDA00022579607300000410

so as to obtain the compound with the characteristics of,

Figure BDA00022579607300000411

wherein r ismFor the addendum radius of the male rotor profile, the relationship between α and θ can be derived from the meshing theorem and is expressed as:

Figure BDA0002257960730000051

wherein the parameters

Figure BDA0002257960730000052

For a designable variable, n1Number of teeth of male rotor, n2The number of teeth of the female rotor

Figure BDA0002257960730000053

After all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

Elliptical envelope line segment B of female rotor molded line4B5With elliptical arc segment A of the male rotor profile4A5Meshing with each other;

elliptical envelope line segment B4B5The parameter equation of (1) is as follows:

Figure BDA0002257960730000054

c is a parameter center distance and is introduced into the elliptical arc section A4A5The parameter equation of (2):

Figure BDA0002257960730000055

so as to obtain the compound with the characteristics of,

Figure BDA0002257960730000056

wherein r ismFor the male rotor addendum radius, the relationship between α and θ can be derived from the meshing theorem and is expressed as:

wherein the parametersFor a designable variable, n1Number of teeth of male rotor, n2The number of teeth of the female rotor

Figure BDA0002257960730000059

After all curve segments are solved, the geometrical condition that the intersection points of adjacent curve segments are continuous and the slope is continuous is utilized to solve;

elliptical arc segment B of female rotor profile5B6The parameter equation of (1) is as follows:

Figure BDA00022579607300000510

wherein the parameters

Figure BDA0002257960730000061

To a designable variable, rfRadius of the tooth top of the female rotor

Figure BDA0002257960730000062

After all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

The invention also provides a compressor or an expander, which is provided with the full-ellipse and ellipse enveloping type double-screw rotor.

Compared with the prior art, the invention has the following beneficial effects:

the double-screw rotor adopts the molded lines, so that sharp points can be eliminated, and the shape of the molded lines of the rotor can be flexibly adjusted according to the requirement of design working conditions, so that the volume efficiency, the energy-saving performance, the stress performance and the like of the optimized double-screw compressor and the expander are improved. Compared with other conventional pump types, the pump has the advantages of few easily-damaged parts, compact structure, high air suction rate, no surge, low vibration noise and the like.

Drawings

FIG. 1 is a schematic view of an original rotor profile;

FIG. 2 is a 5/6 tooth rotor profile schematic of the present invention;

FIG. 3 rotor profile parameters of the present invention

Figure BDA0002257960730000063

A geometric schematic;

FIG. 4 rotor profile parameters of the present invention

Figure BDA0002257960730000064

A geometric schematic;

FIG. 5 is a 4/6 tooth rotor profile schematic of the present invention.

Detailed Description

The present invention will be described in further detail with reference to the accompanying drawings.

Referring to fig. 1, in the original screw rotor profile, a is in the left side male rotor profile1A2A3A4A5In the form of a single-tooth profile, a single-tooth profile A1A2A3A4A5Line origin O of wound male rotor profilemRotate

Figure BDA0002257960730000065

Then with tooth form A1A2A3A4A5End to end, thus repeating n1After that, a left male rotor profile is formed, where n1Representing the number of teeth, n in FIG. 11Was taken as 5. Likewise, the right female rotor profile likewise consists of a single-tooth profile B1B2B3B4And (6) determining the unique decision. In the original tooth form, A1A2A3A4A5Formed by arc segments A1A2Point-meshing epicycloidal segment A2A3Arc segment A3A4Outer cycloid segment A4A5Composition B1B2B3B4From a circular arc section B1B2Circular arc envelope line segment B2B3Point-meshing epicycloidal segment B3B4And (4) forming. Outer diameter of the male rotor is defined by rmThe corresponding pitch circle radius is represented by rpmThe outer diameter of the female rotor is represented by rfThe corresponding pitch circle radius is represented by rfmIndicating the center distance O between the two rotorsmOfIs c, r in the original profilef=rpf. The type line is formed by a parameter OmOf,n1,n2,rmAnd arc segment A3A4Is uniquely determined, which results in a division by B3All points except the points are sharp points, so that the rotor has the problems of large abrasion and large flow resistance of the working medium in the running process.

Referring to fig. 2, the present invention relates to the cusp B of the original rotor profile2And a sharp point B4Is changed into an elliptic arc section B2B3And an elliptical arc section B5B6Corresponding to the elliptical arc section B2B3Engaged curve segment A2A3The envelope line segment of the corresponding ellipse and the elliptical arc segment B5B6Engaged curve segment A5A6Are the envelope segments of the respective ellipses. The sharp point A of the original rotor profile4And arc segment A3A4Is changed into an elliptical arc section A4A5And an elliptical arc segment A3A4To correspond toAnd an elliptical arc segment A4A5Engaged curve segment B4B5The envelope line segment of the corresponding ellipse and the elliptical arc segment A3A4Engaged curve segment B3B4Is an envelope line segment of a corresponding ellipse, thereby solving the problem of sharp points of the original rotor profile. Single tooth profile A of left male rotor profile of twin-screw compressor in FIG. 21A2A3A4A5A6The tooth root arc sections A are connected in sequence from head to tail1A2Elliptical envelope line segment A2A3Oval arc segment A3A4Oval arc segment A4A5Elliptical envelope line segment A5A6And (4) forming. Single tooth profile B of right female rotor profile of twin-screw compressor in FIG. 21B2B3B4B5B6Addendum arc section B sequentially connected from head to tail1B2Oval arc section B2B3Line segment B of ellipse envelope3B4Line segment B of ellipse envelope4B5Oval segment B5B6And (4) forming. During the rotation meshing process, the correct meshing can be realized, and the line segment AiAi+1And line segment BiBi+1(i ═ 1,2,3,4,5)) is engaged.

The line of the male and female rotors is determined by the parameter of the center distance c and the number of teeth n of the male rotor1Number of teeth n of female rotor2Radius of addendum circle of male rotormRadius of addendum circle of female rotorfAnd an elliptical arc segment A3A4、A4A5、B2B3、B5B6Is uniquely determined by the length of the major and minor axes.

The addendum circle radius of the female rotor profile is rfLeft side male rotor molded line tooth root arc segment A1A2The parameter equation of (1) is as follows:

Figure BDA0002257960730000071

wherein

Figure BDA0002257960730000072

∠A2OmA6By solving for curve segment A2A3A4A5A6This is given later.

Elliptic envelope line segment A of left side male rotor molded line2A3And an elliptical arc section B2B3The parameter equation of the meshing can be expressed as:

Figure BDA0002257960730000073

into an elliptical arc section B2B3The parameter equation of (2):

Figure BDA0002257960730000081

it is possible to obtain,

Figure BDA0002257960730000082

where the relationship between α and θ can be derived from the meshing theorem and is expressed as:

Figure BDA0002257960730000083

wherein the parametersThe geometric meaning for the programmable variables is shown in FIG. 3. Parameter(s)

Figure BDA0002257960730000085

After all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

Elliptic arc section A of left side male rotor profile3A4The parameter equation of (1) is as follows:

Figure BDA0002257960730000086

wherein the parameters

Figure BDA0002257960730000087

The geometric meaning of the programmable variables is shown in FIG. 4. Parameter(s)After all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

Elliptic arc section A of left side male rotor profile4A5The parameter equation of (1) is as follows:

Figure BDA0002257960730000089

wherein the parametersThe geometric meaning of the programmable variables is shown in FIG. 4. Parameter(s)

Figure BDA00022579607300000811

After all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

Elliptic envelope line segment A of left side male rotor molded line5A6And an elliptical arc section B5B6The parameter equation of the meshing can be expressed as:

Figure BDA00022579607300000812

into an elliptical arc section B5B6The parameter equation of (2):

Figure BDA0002257960730000091

it is possible to obtain,

Figure BDA0002257960730000092

where the relationship between α and θ can be derived from the meshing theorem and is expressed as:

Figure BDA0002257960730000093

wherein the parameters

Figure BDA0002257960730000094

The geometric meaning of the programmable variables is shown in FIG. 3. Parameter(s)

Figure BDA0002257960730000095

After all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

The invention relates to a left male rotor profile A1A2A3A4A5A6Are continuous and have a continuous slope at the intersection of adjacent curve segments.

The addendum circle radius of the male rotor profile is rmTooth top arc section B of right female rotor profile1B2The parameter equation of (1) is as follows:

wherein

Figure BDA0002257960730000097

∠B2OfB6By solving for curve segment B2B3B4B5B6This is given later.

Oval section B of right female rotor profile2B3With an elliptical envelope line segment A2A3The parameter equation of the meshing can be expressed as:

Figure BDA0002257960730000098

wherein the parameters

Figure BDA0002257960730000099

The geometric meaning for the programmable variables is shown in FIG. 3. Parameter(s)

Figure BDA00022579607300000910

After all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

The parameters and the elliptical envelope line segment A in the above equation2A3The same name parameter of (2) is the same parameter.

Elliptic envelope line segment B of right female rotor molded line3B4With an elliptical arc segment A3A4The parameter equation of the meshing can be expressed as:

Figure BDA0002257960730000101

into an elliptical arc section A3A4The parameter equation of (2):

Figure BDA0002257960730000102

it is possible to obtain,

Figure BDA0002257960730000103

where the relationship between α and θ can be derived from the meshing theorem and is expressed as:

Figure BDA0002257960730000104

wherein the parametersThe geometric meaning for the programmable variables is shown in fig. 4. Parameter(s)

Figure BDA0002257960730000106

After all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

Parameters and elliptical arc segment A in the above equation3A4The same name parameter of (2) is the same parameter.

Elliptic envelope line segment B of right female rotor molded line4B5With an elliptical arc segment A4A5The parameter equation of the meshing can be expressed as:

Figure BDA0002257960730000107

into an elliptical arc section A4A5The parameter equation of (2):

Figure BDA0002257960730000108

it is possible to obtain,

Figure BDA0002257960730000111

where the relationship between α and θ can be derived from the meshing theorem and is expressed as:

Figure BDA0002257960730000112

wherein the parameters

Figure BDA0002257960730000113

The geometric meaning for the programmable variables is shown in FIG. 3. Parameter(s)

Figure BDA0002257960730000114

After all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

Parameters and elliptical arc segment A in the above equation4A5The same name parameter of (2) is the same parameter.

Elliptical arc of right female rotor profileSegment B5B6The parameter equation of (1) is as follows:

Figure BDA0002257960730000115

wherein the parameters

Figure BDA0002257960730000116

The geometric meaning for the programmable variables is shown in FIG. 3. Parameter(s)

Figure BDA0002257960730000117

After all the curve segments are solved, the geometrical condition that the intersection points of the adjacent curve segments are continuous and the slopes are continuous is utilized to solve the problem.

The parameters and the elliptical envelope line segment A in the above equation5A6The same name parameter of (2) is the same parameter.

Right female rotor profile B of the invention1B2B3B4B5B6Are continuous and have a continuous slope at the intersection of adjacent curve segments.

The single tooth profile independent parameters of the double-screw rotor profile include the center distance c and the number of the male rotor teeth n1Number of teeth n of female rotor2Radius of addendum circle of male rotormRadius of addendum circle of female rotorfOval arc segment A3A4Length of major and minor axes

Figure BDA0002257960730000118

Elliptic arc section A4A5Length of major and minor axesElliptic arc section B2B3Length of major and minor axes

Figure BDA00022579607300001110

Elliptic arc section B5B6Length of major and minor axes

Figure BDA00022579607300001111

Double-screw male-female rotor profileNumber of teeth n according to the profile of the male-female rotor1、n2Respectively repeatedly rotating to generate n1、n2The single-tooth profile is formed by connecting the single-tooth profiles end to end in sequence, and typical 5/6 teeth and 4/6 tooth profiles are shown in figures 2 and 3.

The design process in the specific application of the invention is as follows:

1. the central distance c and the number of the teeth n of the male rotor are optimized according to the volume and the pumping speed1Number of teeth n of female rotor2Radius of addendum circle of male rotormRadius of addendum circle of female rotorfAnd n is shown in FIG. 21=5,n2As 6, n is shown in fig. 51=4,n2=6

2. The elliptical arc section A is preferably selected according to the requirements of gas tightness, stress performance and pumping rate3A4Length of major and minor axes

Figure BDA0002257960730000121

Figure BDA0002257960730000122

Elliptic arc section A4A5Length of major and minor axes

Figure BDA0002257960730000123

Elliptic arc section B2B3Length of major and minor axes

Figure BDA0002257960730000124

Elliptic arc section B5B6Length of major and minor axes

Figure BDA0002257960730000125

The geometric meaning of the parameters is shown in figures 3 and 4

3. The solution of the curve is performed using the preferred parameters described above.

The double-screw rotor adopts the molded line of the invention to eliminate sharp points, and can flexibly adjust the shape of the rotor molded line according to the design working condition requirements, thereby improving the volume efficiency, the energy-saving performance, the stress performance and the like of the optimized double-screw compressor. Compared with other conventional pump types, the pump has the advantages of few easily-damaged parts, compact structure, high air suction rate, no surge, low vibration noise and the like.

The above description is only a preferred embodiment of the present invention, and is not intended to limit the technical solution of the present invention, and it should be understood by those skilled in the art that the technical solution can be modified and replaced by a plurality of simple modifications and replacements without departing from the spirit and principle of the present invention, and the modifications and replacements also fall within the protection scope defined by the claims.

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