Torsion vane roots based on design of engagement line and design method of its profile

Abstract

The application discloses a kind of based on design engagement line's twisted lobe Roots rotor and its line design method, rotor includes first rotor and second rotor mutually engaged, the line structure of first rotor and second rotor is identical, single-tooth profile is defined engagement line segment A m B m C m , rotor line curve segment ABCB' A' is obtained by solving from engagement relationship, by adding addendum and dedendum arc segment, obtain half single-tooth profile, another half single-tooth profile is generated by symmetry half single-tooth profile, and complete single-tooth profile is obtained by splicing;Complete single-tooth profile is obtained by rotating splicing, and the line structure of complete first rotor and second rotor is obtained;The engagement line segment A m B m C m It is composed of Bezier curve A m B m And Bezier curve B m C m The application can intuitively reflect the comprehensive influence of rotor line on leakage performance, realize flexible control of engagement line shape, and improve the sealing performance of twisted lobe Roots compressor rotor.

Description

Technical Field

[0001] This invention belongs to the field of Roots compressor technology, specifically relating to a torsion vane Roots rotor based on the design of the meshing line and its profile design method. Background Technology

[0002] Roots compressors are characterized by low manufacturing costs, reliable operation, absence of easily damaged parts such as valves, forced suction and discharge, and compatibility with liquids. They are widely used in modern industry for obtaining medium- and low-pressure gases. Torsional-vane Roots compressors can achieve internal compression by rationally setting the suction and discharge ports, thereby effectively improving the thermodynamic performance of the Roots compressor.

[0003] The core components of a torsion leaf Roots compressor are a pair of meshing rotors. Due to the requirement of no oil in the working chamber, the leakage flow in the leakage channel formed by the rotor gap is a key factor affecting its thermodynamic performance.

[0004] By properly setting the rotor profile, the leakage flow process can be effectively controlled, thereby improving the performance of the torsion leaf Roots compressor. However, current methods for generating rotor profiles often define the tooth curve of a certain rotor and then solve for another profile segment using the envelope method, which cannot intuitively reflect the comprehensive impact of the rotor profile on leakage performance. Summary of the Invention

[0005] The purpose of this invention is to address the problems in the prior art by providing a torsion blade Roots rotor and its profile design method based on the design of the meshing line. By directly designing the profile meshing line composed of Bezier curves, and then solving the rotor profile through the defined meshing line, the leakage channel formed by the torsion blade rotor can be directly controlled.

[0006] To achieve the above objectives, the present invention provides the following technical solution:

[0007] A torsion lobe Roots rotor based on a designed meshing line includes a first rotor and a second rotor that mesh with each other. The first rotor and the second rotor have the same profile structure, and the single tooth profile of both is defined by the meshing line segment A. m B m C m The rotor profile curve segment ABCB'A' is obtained by solving the meshing relationship. By adding tooth tip and tooth root arc segments, half of the single tooth profile is obtained. Then, by symmetrically generating the other half of the single tooth profile, the complete single tooth profile is obtained. The obtained complete single tooth profile is then rotated and spliced ​​to obtain the complete profile structure of the first and second rotors. The meshing segment A is described above. m B m C m From Bézier curve A m B m With Bézier curve Bm C m composition.

[0008] As a preferred embodiment, the Bézier curve A m B m The position vector expression is:

[0009]

[0010] In the formula, r AmBm Indicates segment A of the Bézier curve m B m The position vector of the upper point, r Am With r Bm They represent point A respectively m With point B m Position vector, r P1,AB With r P2,AB They represent point P respectively. 1,AB With point P 2,AB The position vector;

[0011] P 1,AB With point P 2,AB Select line segment A respectively m P 0,AB With line segment B m P 0,AB For a point on the surface, the direction vector expression is:

[0012]

[0013] In the formula, i 1,AB with i 2,AB These are the determining points P. 1,AB With point P 2,AB The location parameters are design parameters, r P0,AB Point P 0,AB The position vector of point P 0,AB Let A be the line. m P 0,AB With line B m P 0,AB The intersection of the lines, line B m P 0,AB After giving point B m Line B m P 0,AB The slope is 0, and the line A m P 0,AB Passing through the given point A m Perpendicular to the x-axis;

[0014] Point B m The position vector is:

[0015]

[0016] In the formula, α and β are design parameters that determine point B respectively. m The horizontal and vertical positions.

[0017] As a preferred embodiment, the Bézier curve B m C m The position vector expression is:

[0018]

[0019] In the formula, r BmCm Indicates segment B of the Bézier curve m C m The position vector of the upper point, r Cm Point C m Position vector, r P1,BC With r P2,BC They represent point P respectively. 1,BC With point P 2,BC The position vector;

[0020] P 1,BC With point P 2,BC Select line segment B respectively m P 0,BC With line segment C m P 0,BC For a point on the surface, the direction vector expression is:

[0021]

[0022] Among them, i 1,BC with i 2,BC These are the determining points P. 1,BC With point P 2,BC The location parameters are design parameters, r P0,BC Point P 0,BC The position vector of point P 0,BC Let's say it's line B. m P 0,BC With line C m P 0,BC The intersection of the lines, line C m P 0,AB After giving point C m Line C m P 0,AB The slope is the design variable k C .

[0023] As a preferred embodiment, the meshing segment A m B m C m The transformation relationship with rotor profile curve segment ABC is as follows:

[0024]

[0025] In the formula, r ABC This represents the position vector of rotor profile curve segment ABC in coordinate system O1x1y1. This represents the rotation angle of the rotor profile corresponding to different points on the meshing line, and is an intermediate variable;

[0026] The meshing segment A m B m C m The conversion relationship with rotor profile curve segment CB'A' is as follows:

[0027]

[0028] In the formula, r CB’A’ This represents the position vector of rotor profile curve segment CB'A' in coordinate system O1x1y1, where A is the center distance of the rotor profile;

[0029] Where t and The following relationship exists between them:

[0030]

[0031] In the formula, r p Let x be the radius of the pitch circle, which is equal to A / 2. AmBmCm (t) and y AmBmCm (t) represent the x and y coordinates of a point on the meshing line in the stationary coordinate system, respectively. AmBmCm '(t) and y AmBmCm Let '(t) be the derivative of its x and y coordinate functions with respect to t.

[0032] As a preferred option, the radius of the tooth tip arc segment A'G is r. t The radius of the tooth root arc segment AH is r. b The following relationship exists between them:

[0033] A = r t +r b .

[0034] As a preferred option, point C m Position vector r Cm With point A m Position vector r Am They are represented as follows:

[0035]

[0036] By connecting the rotor profile curve segment ABCB'A' with the tooth tip arc segment A'G and the tooth root arc segment AH, half of the single tooth profile is obtained. Then, by generating the other half of the single tooth profile through the symmetrical O1G, the complete single tooth profile is obtained. The obtained complete single tooth profile is then rotated and spliced ​​according to the tooth number ratio to obtain the rotor profile structure under different tooth number ratios.

[0037] A profile design method for a torsion lobe Roots rotor based on the design of the meshing line includes the following steps:

[0038] The center distance A of the profile and the determining point A are determined by the displacement requirement. m The position parameter r t Determine point A m With point C m The position vector;

[0039] Determine point B based on rotor sealing requirements. m The design parameters α and β for the location directly control the area of ​​the leakage triangle formed between the rotors, thus determining point B. m The position vector;

[0040] Based on the rotor sealing requirements, point C is determined. m The slope k at the point C and the design parameters i of the Bézier curve 1,AB i 2,AB i 1,BC with i 2,BC By directly adjusting the rotor contact line length, the Bézier curve A can be determined. m B m The position vector;

[0041] Determine Bézier curve B m C m The position vector is given by the Bézier curve A. m B m With Bézier curve B m C m Composition of meshing segment A m B m C m ;

[0042] Through meshing segment A m B m C m The rotor profile curve segment ABCB'A' is obtained by solving the meshing relationship;

[0043] Add a tooth tip arc segment A'G and a tooth root arc segment AH to the rotor profile curve segment ABCB'A' to obtain half of the single tooth profile. Then, obtain the other half of the single tooth profile by symmetrically generating half of the single tooth profile through O1G. Splice them together to obtain the complete single tooth profile. Rotate and splice the obtained complete single tooth profiles according to the tooth number ratio to obtain rotor profile structures under different tooth number ratios.

[0044] As a preferred embodiment, the method involves meshing segment A. m B m C m In the step of obtaining the rotor profile curve segment ABCB'A' from the meshing relationship, the meshing line segment A is respectively... m B m C m The rotor profile curve segment ABC and rotor profile curve segment CB'A' are obtained by conversion, and then rotor profile curve segment ABC and rotor profile curve segment CB'A' are spliced ​​together to form rotor profile curve segment ABCB'A'.

[0045] Compared with the prior art, the present invention has at least the following beneficial effects:

[0046] The meshing segment A is defined by the Bézier curve. m B m C m Then, by solving the meshing relationship, the rotor profile curve segment ABCB'A' is obtained. Further, tooth tip and root arc segments are added to complete the definition of a single tooth profile on one side. The single tooth profile is then completed symmetrically. Finally, by rotating and splicing the single tooth profiles, the complete Roots rotor tooth profile can be obtained. This invention uses Bézier curves to form the meshing line of the rotor profile, enabling flexible control of the meshing line. The rotor profile is generated through the meshing line, thereby allowing direct control of the leakage channels formed between rotors. The torsion lobe Roots rotor profile of this invention can intuitively reflect the comprehensive influence of the rotor profile on leakage performance. By setting the meshing line of the rotor profile using Bézier curves, flexible control of the meshing line shape can be achieved, thereby effectively improving the rotor sealing performance of the torsion lobe Roots compressor. Attached Figure Description

[0047] Figure 1 A schematic diagram of the profile and meshing line of a torsion leaf Roots rotor based on the design of the meshing line in an embodiment of the present invention;

[0048] Figure 2 A schematic diagram illustrating the effect of changing the meshing line on the rotor profile in an embodiment of the present invention;

[0049] Figure 3 Schematic diagrams of rotor profile structures with different numbers of teeth according to embodiments of the present invention:

[0050] (a) 6 / 6 tooth profile; (b) 5 / 5 tooth profile; (c) 4 / 4 tooth profile; (d) 3 / 3 tooth profile. Detailed Implementation

[0051] The present invention will now be described in further detail with reference to the accompanying drawings.

[0052] like Figure 1 As shown in the figure, an embodiment of the present invention proposes a torsion lobe Roots rotor based on the design of the meshing line, by defining the meshing line segment A. m B m C m Then, by solving the rotor profile curve segment ABCB'A' through the meshing relationship, and by adding the tooth tip and tooth root arc segments, the definition of half of the single tooth profile can be completed. Furthermore, by using the half of the single tooth profile generated by symmetry, the complete single tooth profile can be completed. Finally, by rotating and splicing the single tooth profiles, the complete Roots rotor tooth profile is obtained.

[0053] like Figure 2 As shown, meshing segment A m B m C m From Bézier curve A m B m With Bézier curve B m C m composition.

[0054] Meshing segment A m B m C m Medium Bézier curve A m B m The position vector expression is:

[0055]

[0056] In the formula, r AmBm Indicates segment A of the Bézier curve m B m The position vector of the upper point, r Am With r Bm They represent point A respectively m With point B m Position vector, r P1,AB With r P2,AB They represent point P respectively. 1,AB With point P 2,AB The position vector.

[0057] P 1,AB With point P 2,AB Select line segment A respectively m P 0,AB With line segment B m P 0,ABA point on the surface, its direction vector is expressed as:

[0058]

[0059] Among them, i 1,AB with i 2,AB These are the determining points P. 1,AB With point P 2,AB The location parameters are design parameters, r P0,AB Point P 0,AB The position vector of point P. 0,AB Let A be the line. m P 0,AB With line B m P 0,AB The intersection of the lines, line B m P 0,AB After giving point B m Its slope is 0, and the line A m P 0,AB Passing through the given point A m , perpendicular to the x-axis.

[0060] Point B m The position vector is:

[0061]

[0062] In the formula, α and β represent design parameters that determine point B respectively. m The horizontal and vertical positions.

[0063] Meshing segment A m B m C m B in the middle Bézier curve m C m The position vector expression is:

[0064]

[0065] In the formula, r BmCm Indicates segment B of the Bézier curve m C m The position vector of the upper point, r Cm Point C m Position vector, r P1,BC With r P2,BC They represent point P respectively. 1,BC With point P 2,BC The position vector.

[0066] P 1,BC With point P 2,BC Select line segment B respectively m P 0,BC With line segment C m P0,BC A point on the surface, its direction vector is expressed as:

[0067]

[0068] Among them, i 1,BC with i 2,BC These are the determining points P. 1,BC With point P 2,BC The location parameters are design parameters, r P0,BC Point P 0,BC The position vector of point P. 0,BC Let's say it's line B. m P 0,BC With line C m P 0,BC The intersection of the lines, line C m P 0,AB After giving point C m Its slope is the designable variable k C .

[0069] Meshing segment A m B m C m The transformation relationship between curve segment ABC and the rotor profile curve segment ABCB'A' is as follows:

[0070]

[0071] Where, r ABC This represents the position vector of curve ABC in coordinate system O1x1y1. This represents the rotation angle of the rotor profile corresponding to different points on the meshing line, and is an intermediate variable.

[0072] Meshing segment A m B m C m The transformation relationship between curve segment CB'A' and the rotor profile curve segment ABCB'A' is as follows:

[0073]

[0074] Where, r CB’A’ This represents the position vector of curve ABC in coordinate system O1x1y1, where A is the center distance of the rotor profile.

[0075] Where t and The following relationship exists between them:

[0076]

[0077] Where, r p Let x be the radius of the pitch circle, which is equal to A / 2. AmBmCm (t) and yAmBmCm (t) represent the x and y coordinates of a point on the meshing line in the stationary coordinate system, respectively. AmBmCm '(t) and y AmBmCm Let '(t) be the derivative of its x and y coordinate functions with respect to t.

[0078] Figure 1 In the middle, A'G is the tooth tip arc segment with radius r. t AH is the root arc segment with radius r. b It satisfies the following relationship:

[0079] A = r t +r b

[0080] Point C m Position vector r Cm With point A m Position vector r Am They are represented as follows:

[0081]

[0082] By connecting the rotor profile curve segment ABCB'A' with the tooth tip arc segment A'G and the tooth root arc segment AH, half of the single-tooth tooth profile is obtained. Then, by symmetrically generating the other half of the single-tooth tooth profile through O1G, the complete single-tooth tooth profile is obtained. The obtained complete single-tooth tooth profiles are then rotated and spliced ​​according to the tooth number ratio to obtain rotor profile structures with different tooth number ratios, such as... Figure 3 Figures (a) to (d) are shown in the figures. The designable parameters of the torsion lobe Roots rotor profile based on the design of the meshing line in the above embodiments of the present invention include: profile center distance A, determining point A. m The position parameter r t , determine point B m The design parameters for the location are α and β, and the location is point C. m The slope k at the point C Bézier curve design parameters i 1,AB i 2,AB i 1,BC with i 2,BC And the number of teeth on the profile.

[0083] The profile design method for a torsion lobe Roots rotor based on the design of the meshing line, as described in this embodiment of the invention, includes the following steps:

[0084] Based on the displacement requirement, the center distance A of the profile and the determining point A are selected. m The position parameter r t Determine point A using the following formula. m With point C m Position vector:

[0085]

[0086] Based on the rotor sealing requirements, point B is the preferred choice. m The design parameters α and β for the location directly control the area of ​​the leakage triangle formed between the rotors, thus determining point B. m The position vector is:

[0087]

[0088] Based on rotor sealing requirements, point C is preferred. m The slope k at the point C Bézier curve design parameters i 1,AB i 2,AB i 1,BC with i 2,BC The rotor contact line length is directly adjusted, and the Bézier curve A is determined by the following formula. m B m Position vector:

[0089]

[0090] In the formula, r AmBm Indicates segment A of the Bézier curve m B m The position vector of the upper point, r Am With r Bm They represent point A respectively m With point B m Position vector, r P1,AB With r P2,AB They represent point P respectively. 1,AB With point P 2,AB The position vector.

[0091] P 1,AB With point P 2,AB Select line segment A respectively m P 0,AB With line segment B m P 0,AB For a point on the surface, calculate the direction vector using the following formula:

[0092]

[0093] Where, r P0,AB Point P 0,AB The position vector of point P 0,AB Let A be the line. m P 0,AB With line B m P 0,AB The intersection of the lines, line B m P 0,AB After giving point B m Its slope is 0, and the line A mP 0,AB Passing through the given point A m Its direction is perpendicular to the x-axis.

[0094] Determine B of the Bézier curve using the following formula m C m Position vector:

[0095]

[0096] In the formula, r BmCm Indicates segment B of the Bézier curve m C m The position vector of the upper point, r Cm Point C m Position vector, r P1,BC With r P2,BC They represent point P respectively. 1,BC With point P 2,BC The position vector.

[0097] P 1,BC With point P 2,BC Select line segment B respectively m P 0,BC With line segment C m P 0,BC For a point on the surface, calculate the direction vector using the following formula:

[0098]

[0099] In the formula, r P0,BC Point P 0,BC The position vector of point P 0,BC Let's say it's line B. m P 0,BC With line C m P 0,BC The intersection of the lines, line C m P 0,AB After giving point C m .

[0100] Through meshing segment A m B m C m Solve for the curve segment ABC in the rotor profile using the meshing relationship:

[0101]

[0102] Where, r ABC This represents the position vector of curve ABC in coordinate system O1x1y1. This represents the rotation angle of the rotor profile corresponding to different points on the meshing line, and is an intermediate parameter.

[0103] Through meshing segment Am B m C m Solve for the curve segment CB'A' in the rotor profile from the meshing relationship:

[0104]

[0105] In the formula, r CB’A’ This represents the position vector of curve ABC in coordinate system O1x1y1, where A is the center distance of the rotor profile.

[0106] Where t and The following relationship exists between them:

[0107]

[0108] In the formula, r p Let x be the radius of the pitch circle, which is equal to A / 2. AmBmCm (t) and y AmBmCm (t) represent the x and y coordinates of a point on the meshing line in the stationary coordinate system, respectively. AmBmCm '(t) and y AmBmCm Let '(t) be the derivative of its x and y coordinate functions with respect to t.

[0109] The radius of the tooth tip arc segment A'G is r. t The radius of the tooth root arc segment AH is r. b The following relationship exists between them:

[0110] A = r t +r b

[0111] By connecting the rotor profile curve segment ABCB'A' with the tooth tip arc segment A'G and the tooth root arc segment AH, half of the single tooth profile is obtained. Then, by generating the other half of the single tooth profile through the symmetrical O1G, the complete single tooth profile is obtained. The obtained complete single tooth profile is then rotated and spliced ​​according to the tooth number ratio to obtain the rotor profile structure under different tooth number ratios.

[0112] The torsion lobe Roots rotor profile generated by the method of this invention can intuitively reflect the comprehensive influence of the rotor profile on leakage performance. By setting the meshing line of the rotor profile through the Bezier curve, the shape of the meshing line can be flexibly adjusted, and the rotor profile can be generated through the meshing line, thereby effectively improving the rotor sealing performance of the torsion lobe Roots compressor.

[0113] The above-described embodiments are only used to illustrate the technical solutions of this application, and are not intended to limit them. Although this application has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features. Such modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of this application, and should all be included within the protection scope of this application.

Claims

1. A torsion blade Roots rotor based on a designed meshing line, characterized in that, It includes a first rotor and a second rotor that mesh with each other. The first rotor and the second rotor have the same profile structure, and the single tooth profile of both is defined by the meshing line segment. A m B m C m The rotor profile curve segment is obtained by solving the meshing relationship. ABCB ' A By adding arc segments to the tooth tip and tooth root, half of the single-tooth tooth profile is obtained. Then, by symmetrically generating the other half of the single-tooth tooth profile, the other half is obtained. These are then spliced ​​together to obtain the complete single-tooth tooth profile. The obtained complete single-tooth tooth profiles are then rotated and spliced ​​to obtain the complete profile structure of the first and second rotors. The meshing segment... A m B m C m By Bézier curve A m B m With Bézier curve B m C m composition; The Bézier curve A m B m The position vector expression is: In the formula, r AmBm Represents a segment of a Bézier curve A m B m The position vector of the upper point, r Am With r Bm Representing points respectively A m With point B m Position vector, r P1,AB With r P2,AB Representing points respectively P 1,AB With point P 2,AB The position vector; P 1,AB With point P 2,AB Selected as line segments A m P 0,AB With line segment B m P 0,AB For a point on the surface, the direction vector expression is: In the formula, i 1,AB and i 2,AB Determining points P 1,AB With point P 2,AB The location parameters are design parameters, r P0,AB Point P 0,AB Position vector, point P 0,AB It is a straight line A m P 0,AB With a straight line B m P 0,AB The intersection of the lines B m P 0,AB After giving some B m ,straight line B m P 0,AB A straight line with a slope of 0. A m P 0,AB Passing through a given point A m perpendicular to x axis; point B m The position vector is: In the formula, α and β The design parameters determine the points respectively. B m Horizontal and vertical positions; The Bézier curve B m C m The position vector expression is: In the formula, r BmCm Represents a segment of a Bézier curve B m C m The position vector of the upper point, r Cm Point C m Position vector, r P1,BC With r P2,BC Representing points respectively P 1,BC With point P 2,BC The position vector; P 1,BC With point P 2,BC Selected as line segments B m P 0,BC With line segment C m P 0,BC For a point on the surface, the direction vector expression is: in, i 1,BC and i 2,BC Determining points P 1,BC With point P 2,BC The location parameters are design parameters, r P0,BC Point P 0,BC Position vector, point P 0,BC It is a straight line B m P 0,BC With a straight line C m P 0,BC The intersection of the lines C m P 0,AB After giving some C m ,straight line C m P 0,AB Slope is a design variable k C ; The meshing segment A m B m C m With rotor profile curve segment ABC The transformation relationship is as follows: In the formula, r ABC Representing the coordinate system O 1 x 1 y 1. Rotor profile curve segment ABC The position vector, φ This represents the rotation angle of the rotor profile corresponding to different points on the meshing line, and is an intermediate variable; The meshing segment A m B m C m With rotor profile curve segment CB'A' The transformation relationship is as follows: In the formula, r CB’A’ Representing the coordinate system O 1 x 1 y 1. Rotor profile curve segment CB'A' The position vector, A This is the center distance of the rotor profile; in, t and φ The following relationship exists between them: In the formula, r p The radius of the pitch circle is equal to A / 2, x AmBmCm ( t )and y AmBmCm ( t () represent the x and y coordinates of points on the meshing line in the stationary coordinate system, respectively. x AmBmCm '(t) and y AmBmCm '(t) is its x and y coordinate function with respect to t The derivative of .

2. The torsion lobe Roots rotor based on the designed meshing line according to claim 1, characterized in that, Tooth tip arc segment A'G The radius is r t Tooth root arc segment AH The radius is r b The following relationship exists between them: 。 3. The torsion lobe Roots rotor based on the designed meshing line according to claim 2, characterized in that, point C m Position vector r Cm With point A m Position vector r Am They are represented as follows: By connecting rotor profile curve segments ABCB ' A 'and the tooth tip arc segment A'G Tooth root arc segment AH This yields half of the single-tooth profile, and then... O 1 G The symmetrical half of the single tooth profile is generated to obtain the other half of the single tooth profile, and the two halves are spliced ​​together to obtain the complete single tooth profile. The complete single tooth profile is then rotated and spliced ​​according to the tooth ratio to obtain the rotor profile structure under different tooth ratios.

4. A profile design method for a torsion lobe Roots rotor based on the design of the meshing line as described in claim 3, characterized in that, Includes the following steps: Determine the center distance of the profile based on the displacement requirements. A With the decision point A m Position parameters r t Determine the point A m With point C m The position vector; The determining point is based on the rotor sealing requirements. B m Location design parameters α and β Directly adjust the area of ​​the leakage triangle formed between the rotors to determine the point. B m The position vector; Determine the point based on rotor sealing requirements. C m slope at k C and Bézier curve design parameters i 1,AB , i 2,AB , i 1,BC and i 2,BC By directly adjusting the rotor contact line length, the Bézier curve can be determined. A m B m The position vector; Determine the Bézier curve B m C m The position vector, derived from the Bézier curve A m B m With Bézier curve B m C m Forming meshing segments A m B m C m ; Through the meshing segment A m B m C m The rotor profile curve segment is obtained by solving the meshing relationship. ABCB ' A '; In the rotor profile curve section ABCB ' A Add a tooth tip arc segment to the top. A'G Tooth root arc segment AH This yields half of the single-tooth profile, and then... O 1 G The symmetrical half of the single tooth profile is generated to obtain the other half of the single tooth profile, and the two halves are spliced ​​together to obtain the complete single tooth profile. The complete single tooth profile is then rotated and spliced ​​according to the tooth ratio to obtain the rotor profile structure under different tooth ratios.

5. The profile design method according to claim 4, characterized in that, The meshing segment A m B m C m The rotor profile curve segment is obtained by solving the meshing relationship. ABCB ' A In the steps of ', each is composed of meshing segments. A m B m C m Transformation yields rotor profile curve segments ABC With rotor profile curve segment CB'A' Then, from the rotor profile curve segment ABC With rotor profile curve segment CB'A' The rotor profile curve segment is formed by splicing together. ABCB ' A '.

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