A method for hybrid generation of double-screw rotor profiles, a rotor, and a compressor

Abstract

A method for generating a mixed twin-screw rotor profile, a rotor, and a compressor are disclosed. The method divides a rack curve into multiple sections, and sequentially generates the various curve segments of the male rotor profile and the female rotor profile using the curve segments of each section of the rack curve. The transmission and sealing curve segments of the male and female rotor profiles are generated using a rack method, while the curve segments associated with the force-bearing portion of the female rotor are generated using a meshing line method. The meshing line structure of the male and female rotors is a composite curve of multiple arc segments. A twin-screw rotor is also provided, generated using the mixed twin-screw rotor profile generation method. A twin-screw compressor is also provided, comprising the twin-screw rotor. The present invention enables the generated profile to be more easily and flexibly adjusted according to actual needs, enabling the twin-screw compressor to achieve separate optimized adjustment of the transmission and sealing curves of the male and female rotor profiles.

Description

Technical Field

[0001] The present invention belongs to the field of compressors, and in particular relates to a twin-screw rotor profile mixing generation method, a rotor and a compressor. Background Art

[0002] Twin-screw compressors are positive displacement rotary compressors used to produce low- to medium-pressure gases and are widely used in modern industry. They inherit many of the advantages of rotary machinery, including long life, reliable operation, low vibration, low noise, smooth operation, and no surge. They also feature no wearing parts like air valves, forced air intake and exhaust, and simple processing. They are core components in systems such as air supply, refrigeration, and waste heat recovery. Currently, commonly used methods for generating twin-screw rotor profiles include direct rotor curve generation, rack curve generation, and meshing line generation. Each of these methods has its advantages and disadvantages. The direct rotor curve generation method generates the rotor profile by directly designing the component curves of the yin and yang rotor profiles. This process is simple and straightforward, and the resulting curves are more intuitive. The rack curve generation method, based on the design of the rack curve that meshes with the yin and yang rotors, then generates the yin and yang rotor profiles based on this meshing relationship. This process makes it easier to detect undercutting and introduce transmission curves such as involutes. The meshing line generation algorithm first designs the meshing line of the male and female rotors. Based on the force requirements of the female rotor, the rotor profile is directly generated. This facilitates profile optimization and adjustment, but the solution process is complex and prone to undercutting. In actual rotor profile design, both transmission and sealing effects, as well as the forces acting on the female rotor, must be considered. Summary of the Invention

[0003] The purpose of the present invention is to address the problem in the above-mentioned prior art that the design of the rotor profile of a twin-screw compressor cannot take into account the transmission and sealing functions as well as the force acting on the female rotor, and to provide a method for generating a mixed twin-screw rotor profile, a rotor and a compressor, so that the generated profile can be more easily flexibly adjusted according to actual needs, thereby improving the performance of the twin-screw rotor profile.

[0004] In order to achieve the above object, the present invention has the following technical solutions:

[0005] A hybrid generation method for twin-screw rotor profiles divides a rack curve into multiple parts, and sequentially generates the curve segments of the male rotor profile and the female rotor profile using the curve segments of each part of the rack curve; the curve segments of the transmission and sealing parts of the male and female rotor profiles are generated using the rack method, and the curve segments related to the force-bearing parts of the female rotor are generated using the meshing line method. The structure of the meshing line of the male and female rotors is a combined curve of multiple arc segments.

[0006] As a preferred embodiment of the method for mixing and generating the profile of the twin-screw rotor of the present invention, the curve segment A on the rack curve r Br , B r C r , C r D r , D r E r , E r F r , F r G r , G r H r , H r I r , I r J r Generate the curve segment A in the male rotor profile in sequence m B m , B m C m , C m D m , D m E m , E m F m , F m G m , G m H m , H m I m , I m J m and the curved segment A in the female rotor profile f B f , B f C f , C f D f , D f E f , E f F f , F f G f , G f H f , H f I f , I f J f ; Among them, the curve segment F in the yin and yang rotor profile f G f With F m G m The meshing line F is defined by c G c Generate the meshing line F formed by the two curve segments c G c The structure is a combined curve of multiple arc segments.

[0007] As a preferred embodiment of the method for generating a twin-screw rotor profile, the curve segment A in the rack curve r B r is an arc segment, B r C r is a straight line segment, C r D r is the equidistant curve segment of the trochoid, D r E r is the equidistant curve segment of the trochoid, E r F r is an arc segment, F r G r is the rack curve segment generated by the defined meshing line, G r H r is a straight line segment, H r I r is an arc segment, I r J r is a straight line segment; the curved segment A in the male rotor profile m B m is the generating line segment of the arc line segment in the rack curve, B m C m is an involute segment, C m D m is the arc envelope, D m F m is an arc segment, E m F m is the arc segment of the pin tooth, F m G m is the curve segment generated by the defined meshing line, G m H m is an involute segment, H m I m is the generating line segment of the arc segment in the rack curve, I m J m The arc segment of tooth root; the curve segment A in the negative rotor profile f B f is the generating line segment of the arc line segment in the rack curve, B f C f is an involute segment, C f D f is an arc line, D f F f is the arc envelope segment, E f F f is the arc segment of the pin tooth, F f G f is the curve segment generated by the defined meshing line, G f H f is an involute segment, H f I fis the generating line segment of the arc segment in the rack curve, I f J f It is the tooth top arc segment.

[0008] As a preferred embodiment of the twin-screw rotor profile mixing method of the present invention, the meshing line F c G c It is composed of arc segment M0M1, arc segment M1M2, arc segment M2M3, arc segment M3M4, arc segment M4M5; c With O c Represent the radius and center of each arc segment respectively, then the arc segment M i M i+1 The center of the circle is O c,i , with a radius of r c,i , i=1,2,3,4,5.

[0009] As a preferred embodiment of the method for generating a mixed profile of a twin-screw rotor of the present invention, the conversion relationship between the curved segment of the meshing line of the male and female rotors and the curved segment of the rack curve is:

[0010] r r (θ,φ1)=r m (θ)+[0φ1r p1 ],

[0011] In the above formula, r r Represents the position vector of the point on the rack curve in the coordinate system fixed to the rack, r m represents the position vector of the point on the meshing line in the stationary coordinate system, θ is the parameter variable of the meshing line, φ1 represents the rotation angle of the male rotor profile corresponding to the position of the point on the meshing line, r p1 represents the pitch radius of the male rotor; wherein, θ and φ1 satisfy the following relationship:

[0012]

[0013] In the above formula, m1 is the number of teeth of the male rotor, m2 is the number of teeth of the female rotor, and x m (t) and y m (t) represents the horizontal and vertical coordinates of the point on the meshing line in the stationary coordinate system, x m '(t) and y m '(t) is the derivative of its horizontal and vertical coordinate functions.

[0014] As a preferred embodiment of the method for generating a twin-screw rotor profile by mixing, the conversion relationship between the rack curve and the yin-yang rotor profile is:

[0015]

[0016]

[0017] Among them, r m With r f They represent the position vectors of points on the yin and yang rotor profiles respectively. The yin and yang rotor coordinate systems are fixed on the rotating yin and yang rotors respectively. p2 represents the pitch radius of the female rotor, and φ2 represents the rotation angle of the female rotor profile corresponding to the position of the points on different meshing lines, which satisfies the following relationship with φ1:

[0018]

[0019] The present invention also provides a twin-screw rotor, which is produced by the twin-screw rotor profile mixing production method.

[0020] The present invention also provides a twin-screw compressor having the twin-screw rotor.

[0021] Compared with the prior art, the present invention has the following beneficial effects:

[0022] A hybrid method is used to generate the twin-screw rotor profile. The transmission and sealing curve segments in the yin and yang rotor profiles are generated using the rack method, and the curve segments related to the force-bearing portion of the yin rotor are generated using the meshing line method. The present invention enables the generated profiles to be more easily and flexibly adjusted according to actual needs, thereby improving the performance of the twin-screw rotor profiles. The twin-screw compressor can use this type of line to achieve separate optimization and adjustment of the transmission and sealing curves in the yin and yang rotor profiles, thereby improving the optimization efficiency of the twin-screw compressor rotor profiles and making the optimized twin-screw rotor profiles have better performance. Compared with other conventional pump types, the present invention has the advantages of fewer wearing parts, compact structure, high pumping rate, no surge, and low vibration and noise. BRIEF DESCRIPTION OF THE DRAWINGS

[0023] Figure 1 Schematic diagram of each curved segment of the yin and yang rotor profile of the present invention;

[0024] Figure 2 Schematic diagram of each arc segment of the meshing line of the male and female rotors of the present invention;

[0025] Figure 3 Schematic diagram of the curve segments of various parts of the rack curve of the present invention

[0026] Figure 4 The meshing line F defined in the present invention c G c Schematic diagram of each part of the arc segment;

[0027] Figure 5 A schematic structural diagram of the yin and yang rotor profiles according to an embodiment of the present invention;

[0028] Figure 6Schematic diagram comparing the rack curve structures before and after optimization and adjustment of the present invention;

[0029] Figure 7 Schematic diagram comparing the meshing line structure before and after optimization and adjustment of the present invention;

[0030] Figure 8 Schematic diagram comparing the profile structures of the yin and yang rotors before and after optimization and adjustment of the present invention;

[0031] Figure 9 Schematic diagram of the yin and yang rotor profile structure with different numbers of teeth of the present invention:

[0032] (a) Rack curve and yin and yang rotor profile; (b) meshing line; (c) complete yin and yang rotor profile. DETAILED DESCRIPTION

[0033] The present invention will be described in further detail below with reference to the accompanying drawings.

[0034] See also Figure 1 and Figure 2 ,as well as Figure 3 and Figure 4 The present invention divides the rack curve into multiple parts, and the curve A on the rack curve r B r , B r C r , C r D r , D r E r , E r F r , F r G r , G r H r , H r I r , I r J r Partially generate the curve A in the male rotor profile m B m , B m C m , C m D m , D m E m , E m F m , F m G m , G m H m , H m I m , I m J m Part A of the female rotor profile f Bf , B f C f , C f D f , D f E f , E f F f , F f G f , G f H f , H f I f , I f J f The meshing line of the corresponding curve segment of the yin and yang rotor profile is as follows Figure 2 As shown. Curve F in the yin and yang rotor profile f G f With F m G m The meshing line method is used to generate the meshing line. The structure of the meshing line formed by the two curves is a combined curve of multiple arc segments, such as Figure 4 Medium F c G c As shown in the curve, r c With O c Respectively represent the radius and center of each arc segment. Curve F f G f With F m G m By the definition of F c G c The curve is generated, and other curves are designed in the rack curve. Finally, the Figure 5 The yin and yang rotor profiles are shown. Figure 3 Curve segment A of the middle rack curve r B r is an arc segment, B r C r is a straight line segment, C r D r is the equidistant curve segment of the trochoid, D r E r is the equidistant curve segment of the trochoid, E r F r is an arc segment, F r G r is the rack curve segment generated by the defined meshing line, G r H r is a straight line segment, H r I r is an arc segment, I r J r is a straight line segment. Figure 1 The positive rotor segment A generated by the rack curve m Bm is the generating line segment of the arc line segment in the rack curve, B m C m is an involute segment, C m D m is the arc envelope, D m F m is an arc segment, E m F m is the arc segment of the pin tooth, F m G m is the curve segment generated by the defined meshing line, G m H m is an involute segment, H m I m is the generating line segment of the arc segment in the rack curve, I m J m It is the tooth root arc segment. Figure 1 The negative rotor segment A generated by the rack curve f B f is the generating line segment of the arc line segment in the rack curve, B f C f is an involute segment, C f D f is an arc line, D f F f is the arc envelope segment, E f F f is the arc segment of the pin tooth, F f G f is the curve segment generated by the defined meshing line, G f H f is an involute segment, H f I f is the generating line segment of the arc segment in the rack curve, I f J f It is the tooth top arc segment.

[0035] Figure 4 The curve segment F in the meshing line c G c It is composed of arc segment M0M1, arc segment M1M2, arc segment M2M3, arc segment M3M4, arc segment M4M5. i M i+1 The center of the circle is O c,i , with a radius of r c,i (i=1,2,3,4,5).

[0036] The transformation relationship between the curve on the meshing line and the curve on the rack is:

[0037] r r (θ,φ1)=r m(θ)+[0φ1r p1 ],

[0038] Among them, r r Indicates that the points on the rack curve are Figure 1 The position vector in the coordinate system fixed to the rack is shown, r m represents the position vector of the point on the meshing line in the stationary coordinate system, θ is the parameter variable of the meshing line, φ1 represents the rotation angle of the male rotor profile corresponding to the position of the point on the meshing line, r p1 Indicates the pitch radius of the male rotor.

[0039] Among them, the relationship between θ and φ1 satisfies the following:

[0040]

[0041] Among them, m1 is the number of teeth of the male rotor, m2 is the number of teeth of the female rotor, and x m (t) and y m (t) represents the horizontal and vertical coordinates of the point on the meshing line in the stationary coordinate system, x m '(t) and y m '(t) is the derivative of its horizontal and vertical coordinate functions.

[0042] The transformation relationship between the rack curve and the yin and yang rotor profile is:

[0043]

[0044]

[0045] Among them, r m With r f They represent the position vectors of points on the yin and yang rotor lines respectively. The yin and yang rotor coordinate systems are fixed on the rotating yin and yang rotors respectively, as shown in Figure 3 As shown, r p2 represents the pitch radius of the female rotor, and φ2 represents the rotation angle of the female rotor profile corresponding to the position of the point on the meshing line, which satisfies the following relationship with φ1:

[0046]

[0047] Example

[0048] The design process of the twin-screw rotor profile of the present invention is as follows:

[0049] 1. Based on the sealing requirements, curve A on the rack curve is selected r B r , B r C r , C r D r , D rE r , E r F r , G r H r , H r I r , I r J r Part, Primary F r G r Curve part. Among them, the curve segment A in the rack curve r B r is an arc segment, B r C r is a straight line segment, C r D r is the equidistant curve segment of the trochoid, D r E r is the equidistant curve segment of the trochoid, E r F r is an arc segment, F r G r is the rack curve segment generated by the defined meshing line, G r H r is a straight line segment, H r I r is an arc segment, I r J r is a straight line segment. Figure 6 Shown are the yin and yang rotor profiles before adjustment.

[0050] 2. According to the force requirements of the female rotor, the optimal design curve F r G r The meshing line formed is adjusted to the following: Figure 7 The adjusted meshing line is shown. Curve F r G r The formed meshing line has a curve composed of a plurality of smoothly connected arc segments.

[0051] 3. According to the adjusted curve F r G r The meshing line equation is formed and the equation of the corresponding curve on the rack curve is solved. The conversion relationship between the curve on the meshing line and the curve on the rack is:

[0052] r r (θ,φ1)=r m (θ)+[0φ1r p1 ],

[0053] Among them, r r Indicates that the point on the rack curve is Figure 1 The position vector in the coordinate system fixed to the rack is shown, r mrepresents the position vector of the point on the meshing line in the stationary coordinate system, θ is the parameter variable of the meshing line, φ1 represents the rotation angle of the male rotor profile corresponding to the position of the point on the meshing line, r p1 Indicates the pitch radius of the male rotor.

[0054] The relationship between θ and φ1 is as follows:

[0055]

[0056] Among them, m1 is the number of teeth of the male rotor, m2 is the number of teeth of the female rotor, and x m (t) and y m (t) represents the horizontal and vertical coordinates of the point on the meshing line in the stationary coordinate system, x m '(t) and y m '(t) is the derivative of its horizontal and vertical coordinate functions.

[0057] 4. Using the above curve F r G r The generated corresponding rack curve is the curve A on the previously defined rack curve r B r , B r C r , C r D r , D r E r , E r F r , G r H r , H r I r , I r J r Part, solve the yin and yang rotor profiles, the transformation relationship between the rack curve and the yin and yang rotor profiles is:

[0058]

[0059]

[0060] Among them, r m With r f They represent the position vectors of points on the yin and yang rotor lines respectively. The yin and yang rotor coordinate systems are fixed on the rotating yin and yang rotors respectively, as shown in Figure 5 As shown, r p2 represents the pitch radius of the female rotor, and φ2 represents the rotation angle of the female rotor profile corresponding to the position of the point on the meshing line, which satisfies the following relationship with φ1:

[0061]

[0062] The above method can also be used to obtain the yin and yang rotor profiles under different gear ratios, such as Figure 9 shown.

[0063] The above description is merely a preferred embodiment of the present invention and is not intended to impose any limitation on the technical solution of the present invention. Those skilled in the art should understand that, without departing from the spirit and principles of the present invention, the technical solution can also be subjected to several simple modifications and replacements, and these modifications and replacements are also within the scope of protection covered by the claims.

Claims

1. A method for mixing and generating a twin-screw rotor profile, characterized in that: The rack curve is divided into multiple parts, and the curve segments of the male rotor profile and the female rotor profile are sequentially generated through the curve segments of each part of the rack curve; the curve segments of the transmission and sealing parts of the male and female rotor profiles are generated using the rack method, and the curve segments related to the force-bearing parts of the female rotor are generated using the meshing line method. The structure of the meshing line of the male and female rotors is a combined curve of multiple arc segments; Curve segments on the rack curve A r B r , B r C r , C r D r , D r E r , E r F r , F r G r , G r H r , H r I r , I r J r Generate the curve segments in the male rotor profile in sequence A m B m , B m C m , C m D m , D m E m , E m F m , F m G m , G m H m , H m I m , I m J m The curved segment in the female rotor profile A f B f , B f C f , C f D f , D f E f , E f F f , F f G f , G f H f , H f I f , I f J f ; Among them, the curve segment in the yin and yang rotor profile F f G f and F m G m The meshing line defined by F c G c Generate the meshing line formed by the two curve segments F c G c The structure is a combined curve of multiple arc segments; Curve segments in rack curves A r B r is an arc segment, B r C r is a straight line segment, C r D r is the equidistant curve segment of the trochoid, D r E r is the equidistant curve segment of the trochoid, E r F r is an arc segment, F r G r is the rack curve segment generated by the defined meshing line, G r H r is a straight line segment, H r I r is an arc segment, I r J r is a straight line segment; the curved segment in the male rotor profile A m B m is the generating line segment of the arc segment in the rack curve, B m C m is an involute segment, C m D m is the arc envelope, D m F m is an arc segment, E m F m is the arc segment of the pin tooth, F m G m is the curve segment generated by the defined meshing line, G m H m is an involute segment, H m I m is the generating line segment of the arc segment in the rack curve, I m J m The arc segment of tooth root; the curved segment in the negative rotor profile A f B f is the generating line segment of the arc segment in the rack curve, B f C f is an involute segment, C f D f is an arc line, D f F f is the arc envelope segment, E f F f is the arc segment of the pin tooth, F f G f is the curve segment generated by the defined meshing line, G f H f is an involute segment, H f I f is the generating line segment of the arc segment in the rack curve, I f J f is the tooth top arc segment; The conversion relationship between the curve segment of the meshing line of the male and female rotors and the curve segment of the rack curve is: In the above formula, r r Represents the position vector of the point on the rack curve in the coordinate system fixed to the rack, r m represents the position vector of a point on the meshing line in the stationary coordinate system, θ is the parameter variable of the meshing line, ϕ 1 represents the rotation angle of the male rotor profile corresponding to the position of the point on the meshing line. r p1 represents the pitch radius of the male rotor; where, θ and ϕ 1 satisfy the following relationship: In the above formula, m 1 is the number of teeth of the male rotor, m 2 is the number of teeth on the female rotor, x m ( t )and y m ( t ) represent the horizontal and vertical coordinates of the points on the meshing line in the stationary coordinate system, x m ’ ( t ) with y m ’ ( t ) is the derivative of its horizontal and vertical coordinate functions.

2. The method for mixing and generating a twin-screw rotor profile according to claim 1, characterized in that: meshing line F c G c By arc segment M 0 M 1. Arc segment M 1 M 2. Arc segment M 2 M 3. Arc segment M 3 M 4. Arc segment M 4 M 5 components; r c and O c Represent the radius and center of each arc segment respectively, then the arc segment M i M i+1 The center of the circle is O c,i , the radius is r c,i , i=1,2,3,4,5.

3. The method for mixing and generating a twin-screw rotor profile according to claim 1, characterized in that: The transformation relationship between the rack curve and the yin and yang rotor profile is: Among them, r m With r f They represent the position vectors of points on the yin and yang rotor profiles respectively. The yin and yang rotor coordinate systems are fixed on the rotating yin and yang rotors respectively. r p2 Indicates the pitch radius of the female rotor, ϕ 2 represents the rotation angle of the female rotor profile corresponding to the position of the point on the meshing line, which is ϕ 1 satisfy the following relationship: 。 4. A twin-screw rotor, characterized in that: The twin-screw rotor profile is generated by the mixing generation method according to any one of claims 1 to 3.

5. A twin-screw compressor, characterized in that: A twin-screw rotor as claimed in claim 4 is provided.

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