阅读说明：本技术 一种双螺杆转子及膨胀机、压缩机 (Double-screw rotor, expander and compressor ) 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：一种双螺杆转子及膨胀机、压缩机,转子包括在转动过程中能够实现相互啮合的阳转子和阴转子；阳转子型线与阴转子型线中的线段A<Sub>i</Sub>A<Sub>i+1</Sub>与线段B<Sub>i</Sub>B<Sub>i+1</Sub>(i＝1,2,3,4,5,6,7,8,9)进行啮合；组合成的阳转子型线与阴转子型线各自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n<Sub>1</Sub>、n<Sub>2</Sub>分别进行重复旋转生成<Image he="119" wi="169" file="DDA0002257959570000011.GIF" imgContent="drawing" imgFormat="GIF" orientation="portrait" inline="no"></Image>条单齿齿形,并依次首尾连接而生成完整的阴阳转子型线。本发明双螺杆转子相比传统型线转子能够实现传力齿与密封齿的分别设计,有效提高转子的耐磨性与效率,改善双螺杆膨胀机及压缩机的综合性能。(A double-screw rotor, an expander and a compressor are provided, wherein the rotor comprises a male rotor and a female rotor which can realize mutual meshing in the rotating process; line segment A in male and female rotor profiles i A i+1 And line segment B i B i+1 (i ═ 1,2,3,4,5,6,7,8,9) for meshing; the intersection points of the adjacent curve sections of the combined male rotor molded line and the female rotor molded line are continuous and have continuous slopes; number of teeth n according to the profile of the male-female rotor 1 、n 2 Respectively performing repeated rotation generation A single-tooth-shaped strip, which are connected end to end in turn to form a complete femaleThe male rotor profile. Compared with the traditional molded line rotor, the double-screw rotor disclosed by the invention can realize the respective design of the force transmission teeth and the sealing teeth, effectively improve the wear resistance and efficiency of the rotor, and improve the comprehensive performance of the double-screw expander and the compressor.)

1. A twin screw rotor characterized by: comprises a male rotor and a female rotor which can realize mutual meshing in the rotating process; single tooth profile A of male rotor profile₁A₂A₃A₄A₅A₆The tooth root arc sections A are connected in sequence from head to tail₁A₂Circular arc envelope line segment A₂A₃Arc segment A₃A₄Arc segment A₄A₅And a circular arc envelope line segment A₅A₆Composition of adjacent single tooth profiles A₆A₇A₈A₉A₁₀The tooth root arc sections A are connected in sequence from head to tail₆A₇Circular arc envelope line segment A₇A₈Arc segment A₈A₉And point meshing epicycloidal segment A₉A₁₀Composition is carried out; single tooth profile B of female rotor profile₁B₂B₃B₄B₅B₆Addendum arc section B sequentially connected from head to tail₁B₂Circular arc section B₂B₃Circular arc envelope line segment B₃B₄Circular arc envelope line segment B₄B₅And a circular arc segment B₅B₆Composition of adjacent single-tooth profiles B₆B₇B₈B₉B₁₀Addendum arc section B sequentially connected from head to tail₆B₇Circular arc section B₇B₈Circular arc envelope line segment B₈B₉And point meshing epicycloidal segment B₉B₁₀Composition is carried out; line segment A in a molded line_iA_i+1And line segment B_iB_i+1(i ═ 1,2,3,4,5,6,7,8,9) for meshing; combined male rotor profile A₁A₂A₃A₄A₅A₆A₇A₈A₉The intersection point of the adjacent curve segments is continuous and the slope is continuous, and the combined female rotor profile B₁B₂B₃B₄B₅B₆B₇B₈B₉B₁₀The 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 performing repeated rotation generation

2. The twin-screw rotor of claim 1, wherein:

the addendum circle radius of the female rotor profile is r_fArc segment A of tooth root₁A₂The parameter equation of (1) is as follows:

wherein the origin of the male rotor profile is O_mThe line origin of the female rotor is O_fCenter distance O between two rotors_mO_fIs c;

∠A₁O_mA₂is a designable variable;

circular arc envelope line segment A of male rotor molded line₂A₃Arc section B of female rotor molded line₂B₃Meshing with each other;

circular arc envelope line segment A₂A₃Is expressed as:

into a circular arc section B₂B₃The parameter equation of (2):

it is possible to obtain,

wherein the number of the male rotor teeth is n₁The number of teeth of the female rotor is n₂The radius of the tooth top circle of the female rotor is r_f；

The relationship of α to θ is derived by the meshing theorem and is expressed as:

wherein the parametersThe geometric meaning of (A) is a circular arc segment B₂B₃The radius of (a) is a designable variable; parameter(s)

3. The twin-screw rotor of claim 1, wherein:

the addendum circle radius of the male rotor is r_mCircular arc section A of male rotor profile₃A₄The parameter equation of (1) is as follows:

wherein the parameters

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

wherein the parametersThe geometric meaning of (A) is a circular arc segment A₄A₅The radius of (a) is a designable variable; parameter(s)

circular arc envelope line segment A of male rotor molded line₅A₆And arc section B₅B₆Meshing with each other;

circular arc envelope line segment A₅A₆Is expressed as:

the origin of the male rotor profile is O_mThe line origin of the female rotor is O_fCenter distance O between two rotors_mO_fIs c;

into a circular arc section B₅B₆The parameter equation of (2):

it is possible to obtain,

wherein the number of the male rotor teeth is n₁The number of teeth of the female rotor is n₂The radius of the tooth top circle of the female rotor is r_f；

The relationship of α to θ is derived by the meshing theorem and is expressed as:

wherein the parametersThe geometric meaning of (A) is a circular arc segment B₅B₆The radius of (a) is a designable variable; parameter(s)

4. The twin-screw rotor of claim 1, wherein:

root arc segment A of male rotor molded line₆A₇The parameter equation of (1) is as follows:

in the formula

Wherein ∠ A₁O_mA₆，∠A₇O_mA₁₀Giving out the solution after other curve segments are solved;

circular arc envelope line segment A of male rotor molded line₇A₈And arc section B₇B₈Meshing with each other;

circular arc envelope line segment A₇A₈Is expressed as:

the origin of the male rotor profile is O_mThe line origin of the female rotor is O_fCenter distance O between two rotors_mO_fIs c;

into a circular arc section B₇B₈The parameter equation of (2):

it is possible to obtain,

wherein, the number of the teeth of the male rotor is n₁The number of teeth of the female rotor is n₂The radius of the tooth top circle of the female rotor is r_f；

The relationship of α to θ is derived by the meshing theorem and is expressed as:

wherein the parameters

5. The twin-screw rotor of claim 1, wherein:

arc segment A of male rotor profile₈A₉The parameter equation of (1) is as follows:

wherein the parameters

point meshing outer cycloid section A of male rotor molded line₉A₁₀And point B₁₀Meshing, the parameter equation is:

wherein the radius of the addendum circle of the male rotor is r_mThe origin of the profile of the male rotor is O_mThe line origin of the female rotor is O_fCenter distance O between two rotors_mO_fC, the number of the male rotor teeth is n₁The number of teeth of the female rotor is n₂，

6. The twin-screw rotor of claim 1, wherein:

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

wherein

The origin of the male rotor profile is O_mThe line origin of the female rotor is O_fCenter distance O between two rotors_mO_fIs c;

arc segment B of female rotor profile₂B₃And the segment of circular arc envelopeA₂A₃Meshing with each other;

arc segment B₂B₃Is expressed as:

wherein the parameters

7. The twin-screw rotor of claim 1, wherein:

arc envelope line segment B of female rotor molded line₃B₄And arc segment A₃A₄Meshing with each other;

circular arc envelope line segment B₃B₄The parametric equation is expressed as:

arc segment A with arc₃A₄The parameter equation of (2):

it is possible to obtain,

wherein the origin of the male rotor profile is O_mThe line origin of the female rotor is O_fTwo, twoRotor center distance O_mO_fIs c; the number of teeth of the male rotor being n₁The number of teeth of the female rotor is n₂The addendum circle radius of the male rotor is r_mThe relationship of α to θ is derived from the meshing theorem and is expressed as:

wherein the parameters

arc envelope line segment B of female rotor molded line₄B₅And arc segment A₄A₅Meshing with each other;

circular arc envelope line segment B₄B₅Is expressed as:

into a circular arc section A₄A₅The parameter equation of (2):

it is possible to obtain,

where the relationship of α to θ is derived from the meshing theorem and is expressed as:

wherein the parameters

8. The twin-screw rotor of claim 1, wherein:

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

wherein the radius of the tooth top circle of the female rotor is r_f(ii) a Parameter(s)The geometric meaning of (A) is a circular arc segment B₅B₆The radius of (a) is a designable variable; parameter(s)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;

addendum arc section B of female rotor molded line₆B₇The parameter equation of (1) is as follows:

wherein the origin of the male rotor profile is O_mThe line origin of the female rotor is O_fTwo rotationsCenter-to-center distance O_mO_fIs c;

arc segment B of female rotor profile₇B₈And the arc envelope line segment A₇A₈Meshing, the parametric equation of which is expressed as:

wherein the parameters

9. The twin-screw rotor of claim 1, wherein:

arc envelope line segment B of female rotor molded line₈B₉And arc segment A₈A₉Meshing with each other;

circular arc envelope line segment B₈B₉Is expressed as:

arc segment A with arc₈A₉The parameter equation of (2):

it is possible to obtain,

where the relationship of α to θ is derived from the meshing theorem and is expressed as:

wherein the parameters

point meshing cycloid section B of female rotor molded line₉B₁₀And point A₉Meshing with each other;

point engaged cycloid segment B₉B₁₀The parametric equation is expressed as:

wherein the parameters

10. An expander or compressor having a twin screw rotor as claimed in any one of claims 1 to 9.

Technical Field

The invention belongs to the field of mechanical engineering design, and particularly relates to a double-screw rotor, an expander and a compressor.

Background

The double-screw expander is a positive-displacement rotary machine and is mainly used for recycling heat energy. The rotary machine has the advantages of long service life, reliable operation, small vibration, low noise, stable work, no surge phenomenon and the like, has the characteristics of no easily damaged parts such as an air valve and the like, forced air suction and exhaust, simple processing and the like, and is a main type of the expander of the medium-low temperature waste heat recycling unit.

The core components of the double-screw expander 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 expander. The traditional double-screw expander is completed by modifying a counter-rotating double-screw compressor. However, for the contact type twin-screw rotor, since the running directions of the male and female rotors of the expander and the compressor are completely opposite, the force bearing point of the rotor of the expander is located at the upper part of the screw, the force bearing point of the rotor of the compressor is located at the lower part of the screw, and the upper molded line of the twin-screw rotor is used as a sealing function, so that the force is not suitable to be transmitted, the molded line at the upper part of the rotor of the screw expander is abraded, and the performance of the screw expander is affected.

Disclosure of Invention

The invention aims to solve the problem of abrasion of molded lines on the upper part of a rotor of a screw expander in the prior art, and provides a double-screw rotor, an expander and a compressor, which have the advantages of taking the sealing and stress performances of the rotor into consideration and improving the abrasion resistance and efficiency of the rotor.

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

a twin screw rotor comprising a male rotor and a female rotor capable of intermeshing during rotation; single tooth profile A of male rotor profile₁A₂A₃A₄A₅A₆Root circular arc connected end to end in sequenceSegment A₁A₂Circular arc envelope line segment A₂A₃Arc segment A₃A₄Arc segment A₄A₅And a circular arc envelope line segment A₅A₆Composition of adjacent single tooth profiles A₆A₇A₈A₉A₁₀The tooth root arc sections A are connected in sequence from head to tail₆A₇Circular arc envelope line segment A₇A₈Arc segment A₈A₉And point meshing epicycloidal segment A₉A₁₀Composition is carried out; single tooth profile B of female rotor profile₁B₂B₃B₄B₅B₆Addendum arc section B sequentially connected from head to tail₁B₂Circular arc section B₂B₃Circular arc envelope line segment B₃B₄Circular arc envelope line segment B₄B₅And a circular arc segment B₅B₆Composition of adjacent single-tooth profiles B₆B₇B₈B₉B₁₀Addendum arc section B sequentially connected from head to tail₆B₇Circular arc section B₇B₈Circular arc envelope line segment B₈B₉And point meshing epicycloidal segment B₉B₁₀Composition is carried out; line segment A in a molded line_iA_i+1And line segment B_iB_i+1(i ═ 1,2,3,4,5,6,7,8,9) for meshing; combined male rotor profile A₁A₂A₃A₄A₅A₆A₇A₈A₉The intersection point of the adjacent curve segments is continuous and the slope is continuous, and the combined female rotor profile B₁B₂B₃B₄B₅B₆B₇B₈B₉B₁₀The 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 performing repeated rotation generation

The single-tooth shapes are arranged in a strip manner and are sequentially connected end to generate a complete female-male rotor profile.

Female rotor profileThe radius of the addendum circle of_fArc segment A of tooth root₁A₂The parameter equation of (1) is as follows:

wherein the origin of the male rotor profile is O_mThe line origin of the female rotor is O_fCenter distance O between two rotors_mO_fIs c;

∠A₁O_mA₂is a designable variable;

circular arc envelope line segment A of male rotor molded line₂A₃Arc section B of female rotor molded line₂B₃Meshing with each other;

circular arc envelope line segment A₂A₃Is expressed as:

into a circular arc section B₂B₃The parameter equation of (2):

it is possible to obtain,

wherein the number of the male rotor teeth is n₁The number of teeth of the female rotor is n₂The radius of the tooth top circle of the female rotor is r_f；

The relationship of α to θ is derived by the meshing theorem and is expressed as:

wherein the parameters

The geometric meaning of (A) is a circular arc segment B₂B₃The radius of (a) is a designable variable; 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.

The addendum circle radius of the male rotor is r_mCircular arc section A of male rotor profile₃A₄The parameter equation of (1) is as follows:

wherein the parameters

The geometric meaning of (A) is a circular arc segment A₃A₄The radius of (a) is a designable variable; parameter(s)

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;

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

wherein the parameters

The geometric meaning of (A) is a circular arc segment A₄A₅The radius of (a) is a designable variable; parameter(s)

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;

circular arc envelope line segment A of male rotor molded line₅A₆And arc section B₅B₆Meshing with each other;

circular arc envelope line segment A₅A₆Is expressed as:

the origin of the male rotor profile is O_mThe line origin of the female rotor is O_fCenter distance O between two rotors_mO_fIs c;

into a circular arc section B₅B₆The parameter equation of (2):

it is possible to obtain,

wherein the number of the male rotor teeth is n₁The number of teeth of the female rotor is n₂The radius of the tooth top circle of the female rotor is r_f；

The relationship of α to θ is derived by the meshing theorem and is expressed as:

wherein the parametersThe geometric meaning of (A) is a circular arc segment B₅B₆The radius of (a) is a designable variable; 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.

Root arc segment A of male rotor molded line₆A₇The parameter equation of (1) is as follows:

in the formula

Wherein ∠ A₁O_mA₆，∠A₇O_mA₁₀And giving the result after other curve segments are solved.

Circular arc envelope line segment A of male rotor molded line₇A₈And arc section B₇B₈Meshing with each other;

circular arc envelope line segment A₇A₈Is expressed as:

the origin of the male rotor profile is O_mThe line origin of the female rotor is O_fCenter distance O between two rotors_mO_fIs c;

into a circular arc section B₇B₈The parameter equation of (2):

it is possible to obtain,

wherein, the number of the teeth of the male rotor is n₁The number of teeth of the female rotor is n₂The radius of the tooth top circle of the female rotor is r_f；

The relationship of α to θ is derived by the meshing theorem and is expressed as:

wherein the parameters

The geometric meaning of (A) is a circular arc segment B₇B₈The radius of (a) is a designable variable; 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.

Arc segment A of male rotor profile₈A₉The parameter equation of (1) is as follows:

wherein the parameters

The geometric meaning of (A) is a circular arc segment A₈A₉The radius of (a) is a designable variable; parameter(s)

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;

point meshing outer cycloid section A of male rotor molded line₉A₁₀And point B₁₀Meshing, the parameter equation is:

wherein the radius of the addendum circle of the male rotor is r_mThe origin of the profile of the male rotor is O_mThe line origin of the female rotor is O_fCenter distance O between two rotors_mO_fC, the number of the male rotor teeth is n₁The number of teeth of the female rotor is n₂，

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.

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

wherein

The number of teeth of the male rotor being n₁The number of teeth of the female rotor is n₂The radius of the tooth top circle of the female rotor is r_f；

The origin of the male rotor profile is O_mThe line origin of the female rotor is O_fCenter distance O between two rotors_mO_fIs c;

arc segment B of female rotor profile₂B₃And the arc envelope line segment A₂A₃Meshing with each other;

arc segment B₂B₃Is expressed as:

wherein the parameters

The geometric meaning of (A) is a circular arc segment B₂B₃The radius of (a) is a designable variable; 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.

Arc envelope line segment B of female rotor molded line₃B₄And arc segment A₃A₄Meshing with each other;

circular arc envelope line segment B₃B₄The parametric equation is expressed as:

arc segment A with arc₃A₄The parameter equation of (2):

it is possible to obtain,

wherein the origin of the male rotor profile is O_mThe line origin of the female rotor is O_fCenter distance O between two rotors_mO_fIs c; the number of teeth of the male rotor being n₁The number of teeth of the female rotor is n₂The addendum circle radius of the male rotor is r_mThe relationship of α to θ is derived from the meshing theorem and is expressed as:

wherein the parametersThe geometric meaning of (A) is a circular arc segment A₃A₄The radius of (a) is a designable variable; parameter(s)

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;

arc envelope line segment B of female rotor molded line₄B₅And arc segment A₄A₅Meshing with each other;

circular arc envelope line segment B₄B₅Is expressed as:

into a circular arc section A₄A₅The parameter equation of (2):

it is possible to obtain,

where the relationship of α to θ is derived from the meshing theorem and is expressed as:

wherein the parameters

The geometric meaning of (A) is a circular arc segment A₄A₅The radius of (a) is a designable variable; 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.

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

wherein the radius of the tooth top circle of the female rotor is r_f(ii) a Parameter(s)

The geometric meaning of (A) is a circular arc segment B₅B₆The radius of (a) is a designable variable; parameter(s)

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;

addendum arc section B of female rotor molded line₆B₇The parameter equation of (1) is as follows:

wherein the origin of the male rotor profile is O_mThe line origin of the female rotor is O_fCenter distance O between two rotors_mO_fIs c;

arc segment B of female rotor profile₇B₈And the arc envelope line segment A₇A₈Meshing, the parametric equation of which is expressed as:

wherein the parameters

The geometric meaning of (A) is a circular arc segment B₇B₈The radius of (a) is a designable variable; 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.

Arc envelope line segment B of female rotor molded line₈B₉And arc segment A₈A₉Meshing with each other;

circular arc envelope line segment B₈B₉Is expressed as:

arc segment A with arc₈A₉The parameter equation of (2):

it is possible to obtain,

where the relationship of α to θ is derived from the meshing theorem and is expressed as:

wherein the parametersThe geometric meaning of (A) is a circular arc segment A₈A₉The radius of (a) is a designable variable; parameter(s)

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;

point meshing cycloid section B of female rotor molded line₉B₁₀And point A₉Meshing with each other;

point engaged cycloid segment B₉B₁₀The parametric equation is expressed as:

wherein the parameters

The origin of the male rotor profile is O_mThe line origin of the female rotor is O_fCenter distance O between two rotors_mO_fIs c; the number of teeth of the male rotor being n₁The number of teeth of the female rotor is n₂The addendum circle radius of the male rotor is r_mParameter of

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 double-screw expander and a double-screw compressor, which are provided with the double-screw expander rotor.

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

when a traditional double-screw rotor operates, the upper half part of the tooth profile of the male rotor and the upper half part of the tooth profile of the female rotor are meshed with each other and play roles in sealing and transferring force, but the upper half part of the molded line of an original rotor structure is not suitable for transferring torque, so that screw abrasion is easily caused, and the working efficiency, reliability, service life and other performances of the screw rotor are affected. The invention can realize the separate design of the force transmission teeth and the sealing teeth, and the line segment A in the rotor molded line_iA_i+1And line segment B_iB_i+1And the rotors are mutually meshed, so that the wear resistance and the working efficiency of the rotors are effectively improved, and the comprehensive performance of the double-screw expander and the compressor is improved.

Drawings

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

FIG. 2 is a schematic view of the operation of a twin screw compressor rotor using an original rotor profile;

FIG. 3 is a schematic view of the operation of a twin screw expander rotor using an original rotor profile;

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

fig. 5 is a schematic view of the operation of an 4/6 tooth twin screw expander rotor using the rotor profile 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 twin-screw rotor profile, the left-hand male rotor profile a₁A₂A₃A₄A₅Is a single toothTooth form, single tooth form A₁A₂A₃A₄A₅Line origin O of wound male rotor profile_mRotate

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. 1₁Take 4. Likewise, the right female rotor profile likewise consists of a single-tooth profile B₁B₂B₃B₄B₅And (6) determining the unique decision. In the original tooth form, A₁A₂A₃A₄A₅Formed by arc segments A₁A₂Circular arc envelope line segment A₂A₃Arc segment A₃A₄Outer cycloid segment A₄A₅Composition B₁B₂B₃B₄B₅From a circular arc section B₁B₂Circular arc section B₂B₃Circular arc envelope line segment B₃B₄Point-meshing epicycloidal segment B₄B₅And (4) forming. Outer diameter of the male rotor is defined by r_mThe corresponding pitch circle radius is represented by r_pmThe outer diameter of the female rotor is represented by r_fThe corresponding pitch circle radius is represented by r_pfIndicating the center distance O between the two rotors_mO_fIs c, in the profile r_f＝r_pf. The type line is formed by a parameter O_mO_f，n₁，n₂，r_mArc segment A₃A₄Radius, arc segment B₂B₃Is uniquely determined.

As shown in figure 2, when the original profile is used as the rotor profile of the double-screw compressor, the upper half part A of the tooth profile of the male rotor₄A₅The upper half B of the tooth profile of the female rotor₄B₅Engaged with each other to seal two adjacent working chambers, the lower half part A of the tooth form of the male rotor₂A₃A₄Lower half part B of tooth profile of female rotor₂B₃B₄And the two parts are mutually meshed and transmit torque. As shown in fig. 3When the original molded line is used as the molded line of the rotor of the double-screw expander, the upper half part A of the tooth form of the male rotor₄A₅The upper half B of the tooth profile of the female rotor₄B₅The mutual meshing plays the effect of sealed and transmission power simultaneously, because the first half of original molded lines is not fit for transmission moment, easily causes the screw rod wearing and tearing to influence the work efficiency of screw rotor, performances such as reliability and life-span.

In order to solve the problem of abrasion when the original rotor profile is used as an expander, the single-tooth profile A of the male rotor, in which the original rotor profile is in a meshing state, is shown in figure 1₁A₂A₃A₄A₅Single tooth profile B of female rotor₁B₂B₃B₄B₅Respectively modified to a single tooth profile A of the male rotor as shown in FIG. 4₁A₂A₃A₄A₅A₆Single tooth profile B of female rotor₁B₂B₃B₄B₅B₆。

In FIG. 4, the single tooth profile A of the left male rotor profile of the twin-screw expander of the invention₁A₂A₃A₄A₅A₆The tooth root arc sections A are connected in sequence from head to tail₁A₂Circular arc envelope line segment A₂A₃Arc segment A₃A₄Arc segment A₄A₅Circular arc envelope line segment A₅A₆And (4) forming. Left side male rotor and single tooth profile A of double screw expander₁A₂A₃A₄A₅A₆Adjacent single tooth profile a₆A₇A₈A₉A₁₀The tooth root arc sections A are connected in sequence from head to tail₆A₇Circular arc envelope line segment A₇A₈Arc segment A₈A₉Point-meshing epicycloidal segment A₉A₁₀And (4) forming.

In FIG. 4, the single-tooth profile B of the right female rotor profile of the double-screw expander is shown₁B₂B₃B₄B₅B₆Addendum arc section B sequentially connected from head to tail₁B₂Circular arc section B₂B₃Circular arc envelope line segment B₃B₄Circular arc envelope line segment B₄B₅Circular arc section B₅B₆And (4) forming. Single-tooth profile B of right female rotor profile of double-screw expander₆B₇B₈B₉B₁₀Addendum arc section B sequentially connected from head to tail₆B₇Circular arc section B₇B₈Circular arc envelope line segment B₈B₉Point-meshing epicycloidal segment B₉B₁₀And (4) forming.

The female and male rotor molded lines of the invention can realize correct meshing in the rotating meshing process, namely, a line segment A_iA_i+1And line segment B_iB_i+1(i is 1,2,3,4,5,6,7,8, 9). The shape of the profile line of the male and female rotors is O_mO_fC center distance of male rotor, n number of teeth of male rotor₁Number of teeth n of female rotor₂Radius of addendum circle of male rotor_mRadius of addendum circle of female rotor_fArc segment A of tooth root₁A₂Central corner ∠ a₁O_mA₂And a circular arc section B₂B₃、A₃A₄、A₄A₅、B₅B₆、B₇B₈、A₈A₉Is uniquely determined.

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

wherein ∠ A₁O_mA₂Are design variables.

Circular arc envelope line segment A of left side male rotor molded lines₂A₃And arc section B₂B₃The parameter equation of the meshing can be expressed as:

into a circular arc section B₂B₃The parameter equation of (2):

it is possible to obtain,

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

wherein the parameters

The geometric meaning of (A) is a circular arc segment B₂B₃Is a designable variable. 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.

Arc segment A of left side male rotor molded line₃A₄The parameter equation of (1) is as follows:

wherein the parameters

The geometric meaning of (A) is a circular arc segment A₃A₄Is a designable variable. Parameter(s)

After all the curve segments are obtained, the intersection points of the adjacent curve segments are used for being continuous and the slopes of the adjacent curve segments are continuousThis geometry is solved.

Arc segment A of left side male rotor molded line₄A₅The parameter equation of (1) is as follows:

wherein the parameters

The geometric meaning of (A) is a circular arc segment A₄A₅Is a designable variable. 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.

Circular arc envelope line segment A of left side male rotor molded lines₅A₆And arc section B₅B₆The parameter equation of the meshing can be expressed as:

into a circular arc section B₅B₆The parameter equation of (2):

it is possible to obtain,

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

wherein the parametersThe geometric meaning of (A) is a circular arc segment B₅B₆Is a designable variable. 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.

Root circle arc section A of left side male rotor molded lines₆A₇The parameter equation of (1) is as follows:

wherein

Wherein ∠ A₁O_mA₆，∠A₇O_mA₁₀Can be given after other curve segments are solved.

Circular arc envelope line segment A of left side male rotor molded lines₇A₈And arc section B₇B₈The parameter equation of the meshing can be expressed as:

into a circular arc section B₇B₈The parameter equation of (2):

it is possible to obtain,

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

wherein the parameters

The geometric meaning of (A) is a circular arc segment B₇B₈Is a designable variable. 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.

Arc segment A of left side male rotor molded line₈A₉The parameter equation of (1) is as follows:

wherein the parameters

The geometric meaning of (A) is a circular arc segment A₈A₉Is a designable variable. 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.

Point meshing epicycloid segment A of left side male rotor molded line₉A₁₀And point B₁₀Meshing, the parameter equation is:

wherein the content of the first and second substances,

parameter(s)After all the curve segments are obtained,the geometric condition that the intersection points of adjacent curve segments are continuous and the slopes are continuous is utilized to obtain the curve.

The invention relates to a left male rotor profile A₁A₂A₃A₄A₅A₆A₇A₈A₉Are continuous and have a continuous slope at the intersection of adjacent curve segments.

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

wherein

Arc section B of right female rotor molded line₂B₃And the arc envelope line segment A₂A₃The parameter equation of the meshing can be expressed as:

wherein the parameters

The geometric meaning of (A) is a circular arc segment B₂B₃Is a designable variable. 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. The parameters and the arc envelope line segment A in the above equation₂A₃The same name parameter of (2) is the same parameter.

Arc envelope line segment B of right female rotor molded line₃B₄And arc segment A₃A₄The parameter equation of the meshing can be expressed as:

arc segment A with arc₃A₄The parameter equation of (2):

it is possible to obtain,

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

wherein the parametersThe geometric meaning of (A) is a circular arc segment A₃A₄Is a designable variable. 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. Parameters and arc segment A in the above equation₃A₄The same name parameter of (2) is the same parameter.

Arc envelope line segment B of right female rotor molded line₄B₅And arc segment A₄A₅The parameter equation of the meshing can be expressed as:

into a circular arc section A₄A₅The parameter equation of (2):

it is possible to obtain,

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

wherein the parameters

The geometric meaning of (A) is a circular arc segment A₄A₅Is a designable variable. 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. Parameters and arc segment A in the above equation₄A₅The same name parameter of (2) is the same parameter.

Arc section B of right female rotor molded line₅B₆The parameter equation of (1) is as follows:

wherein the parametersThe geometric meaning of (A) is a circular arc segment B₅B₆Is a designable variable. 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. The parameters and the arc envelope line segment A in the above equation₅A₆The same name parameter of (2) is the same parameter.

Addendum arc section B of right female rotor molded line₆B₇The parameter equation of (1) is as follows:

wherein

Arc section B of right female rotor molded line₇B₈And the arc envelope line segment A₇A₈The parameter equation of the meshing can be expressed as:

wherein the parameters

The geometric meaning of (A) is a circular arc segment B₇B₈Is a designable variable. 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. The parameters and the arc envelope line segment A in the above equation₇A₈The same name parameter of (2) is the same parameter.

Arc envelope line segment B of right female rotor molded line₈B₉And arc segment A₈A₉The parameter equation of the meshing can be expressed as:

arc segment A with arc₈A₉The parameter equation of (2):

it is possible to obtain,

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

wherein the parameters

The geometric meaning of (A) is a circular arc segment A₈A₉Is a designable variable. 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.

Parameters and arc segment A in the above equation₈A₉The same name parameter of (2) is the same parameter.

Point meshing cycloid section B of right female rotor molded line₉B₁₀And point A₉The parameter equation of the meshing can be expressed as:

wherein the parameters

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. Parameters and arc segment B in the above equation₈B₉The same name parameter of (2) is the same parameter.

Right female rotor profile B of the invention₁B₂B₃B₄B₅B₆B₇B₈B₉B₁₀Are 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 of the invention comprise the center distance c and the number of the positive rotor teeth n₁Number of teeth n of female rotor₂Radius of addendum circle of male rotor_mRadius of addendum circle of female rotor_fArc segment A₃A₄Radius of (2)

Arc segment A₄A₅Radius of (2)

Arc segment B₂B₃Radius of (2)

Arc segment B₅B₆Radius of (2)

Arc segment A₈A₉Radius of (2)

Arc segment B₇B₈Radius of (2)

Arc segment A₁A₂Corresponding center corner ∠ A₁O_mA₂. The profile of the double screw male and female rotors is according to the number of teeth n of the male and female rotor profiles₁、n₂Respectively performing repeated rotation generation

The tooth shapes are formed by connecting the two parts end to end in sequence.

The design process of the rotor profile of the invention is as follows:

1. the central distance c and the number of teeth of the male rotor are optimized according to the volume and the pumping speedn₁Number of teeth n of female rotor₂Radius of addendum circle of male rotor_mRadius of addendum circle of female rotor_fArc segment A of tooth root₁A₂Central corner ∠ a₁O_mA₂。

2. The circular arc section B is preferably selected according to the requirement of screw tightness₂B₃、A₃A₄、A₄A₅、B₅B₆Radius of (2)

3. The preferred circular arc section B is required by the stress performance of the screw₇B₈、A₈A₉Radius of (2)

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

The double-screw rotor disclosed by the invention can realize the separate design of the force transmission teeth and the sealing teeth through the molded line design, so that the wear resistance and efficiency of the rotor are effectively improved, and the comprehensive performance of the double-screw expander and the compressor is improved.

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.