An asymmetric twin-screw rotor profile

Abstract

The application discloses an asymmetric double-screw rotor profile, relates to the technical field of computer-aided geometric design and double-screw rotor profile design, and the active screw rotor profile is a central symmetric figure, a basic unit comprises half-section active screw root circle arc, a section Bézier curve, a section outer cycloid and half-section active screw top circle arc which are sequentially connected in a clockwise direction, the active screw rotor profile is formed by performing symmetry and central symmetry on the basic unit; the driven screw rotor profile is a rotationally symmetric figure, a basic unit comprises half-section driven screw root circle arc, a section line segment, a section long-amplitude outer cycloid, a section optimized circular arc and half-section driven screw top circle arc which are sequentially connected in a clockwise direction, and the driven screw rotor profile is formed by performing symmetry and rotation on the basic unit. The application provides a novel asymmetric double-screw rotor profile, supports adjustment of the tooth gap and adjustment of the sharp corner optimization.

Description

Technical Field

[0001] This invention relates to the technical field of computer-aided geometric design and twin-screw rotor profile design, and in particular to an asymmetric twin-screw rotor profile. Background Technology

[0002] In the field of industrial fluid transportation, traditional pump types such as centrifugal pumps and gear pumps have many limitations. Centrifugal pumps are inefficient and prone to cavitation when transporting high-viscosity fluids, while gear pumps are limited in application due to leakage problems and high requirements for fluid cleanliness. These shortcomings led to the development of twin-screw pumps. Twin-screw pumps utilize two meshing screws to form a sealed chamber, and the rotation of the screws achieves stable axial fluid transport, effectively solving the problems of traditional pump types. They perform particularly well when transporting high-viscosity fluids containing impurities and are widely used in industries such as chemical, food, and pharmaceutical.

[0003] Despite the advantages of twin-screw pumps, such as high-efficiency delivery, good self-priming performance, strong adaptability, and low pulsation and noise, they still face challenges such as high manufacturing precision requirements and the need to improve adaptability to special media. Currently, with the development of processing technology, new materials, and sealing technology, these problems are gradually being solved. At the same time, the application of intelligent control technology has provided new directions for the future development of twin-screw pumps, making their application prospects in emerging fields such as new energy and environmental protection even broader.

[0004] Twin-screw pumps, with their unique working principle and structural design, demonstrate strong competitiveness in the field of fluid transport. Continuous technological advancements and expanding application areas make them a promising candidate to become one of the mainstream equipment for industrial fluid transport in the future, providing powerful support for production and development across various industries. Summary of the Invention

[0005] To overcome the shortcomings of the prior art, the present invention provides an asymmetric twin-screw rotor profile that supports adjustment of tooth clearance and adjustment of sharp angle optimization.

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

[0007] An asymmetric twin-screw rotor profile, the asymmetric twin-screw rotor comprising a driving screw rotor and a driven screw rotor;

[0008] The active screw rotor profile includes: two active screw tooth root arcs, two active screw tooth tip arcs, four Bézier curves, and four epicycloids. The active screw rotor profile is a centrally symmetrical figure. The basic unit includes half-segment active screw tooth root arcs, one Bézier curve, one epicycloid, and half-segment active screw tooth tip arcs connected sequentially in a clockwise direction. After symmetry and central symmetry of the basic unit, the active screw rotor profile is formed. When the screw clearance ε is 0, the four Bézier curves of the active screw rotor profile do not exist.

[0009] The driven screw rotor profile includes: 3 segments of driven screw tooth root arcs, 3 segments of driven screw tooth tip arcs, 6 line segments, 6 long-amplitude epicycloids, and 6 optimized arcs. The driven screw rotor profile is a rotationally symmetric figure. The basic unit includes half segments of driven screw tooth root arcs, 1 line segment, 1 long-amplitude epicycloid, 1 optimized arc, and half segments of driven screw tooth tip arcs connected sequentially in a clockwise direction. After symmetry and rotation of the basic unit, the driven screw rotor profile is formed. When the screw clearance ε is 0, the 6 line segments of the driven screw rotor profile do not exist; when the radius of the optimized arc is 0, the 6 optimized arcs of the driven screw rotor profile do not exist.

[0010] Preferably, when the screw clearance ε is 0, the rotor profile of the driving screw is designed as follows:

[0011] The initial root circle of the driving screw tooth is determined by the following equation:

[0012]

[0013] Where θ represents the central angle; r1 is the radius of the root circle of the driving screw; and the angle corresponding to the arc of the root circle of the driving screw is...

[0014] The initial epicycloid b1c1 is determined by the following equation:

[0015]

[0016] in,

[0017]

[0018] Where ρ represents the distance from a point on the epicycloid to the center of the root circle of the driving screw tooth, and the curve is rotated clockwise. The initial epicycloid b1c1 can be obtained by adjusting the angle. ω is half the angle corresponding to the arc of the root circle of the driving screw tooth; C is the distance between the centers of the driving screw rotor and the driven screw rotor; ω(ρ) represents the fixed circle that generates the epicycloid b1c1, i.e., the rotation angle of the root circle of the driving screw tooth; ω M(ρ) represents the moving circle that generates the epicycloid b1c1, i.e., the corner of the tooth tip circle of the driven screw. R1 and R2 are the pitch circle radii of the driving screw rotor and the driven screw rotor, respectively; R2 is the radius of the tip circle of the driven screw teeth.

[0019] The initial tip circle of the driving screw is determined by the following equation:

[0020]

[0021] Where R1 is the radius of the tip circle of the driving screw; the angle corresponding to the arc of the tip circle of the driving screw is...

[0022] Preferably, when the screw clearance ε is not 0, the rotor profile of the driving screw is designed as follows:

[0023] The root circle of the driving screw teeth is determined by the following equation:

[0024]

[0025] Wherein, ε is the screw clearance, specifically the minimum distance between the root circle of the driving screw tooth and the tip circle of the driven screw tooth;

[0026] The calculation method for the epicycloid b1c1 is as follows:

[0027] Indent all points of the initial epicycloid b1c1 inward by ε, and take the intersection of the end tangent and the tooth tip circle as the new end point;

[0028] The method for calculating the Bézier curve a1b1 is as follows:

[0029] Let E(x) be the end point of the circular arc at the root of the driving screw tooth. e ,y e The slope at point E is k. e ;

[0030] The starting point of the epicycloid b1c1 is F(x) f ,y f The slope at point F is k. f ;

[0031] Let point G(x) g ,y g () is the intersection of the tangents to the epicycloid b1c1 at points E and F;

[0032] The Bézier curve is then determined by the following equation:

[0033]

[0034] Where t represents the curve parameter;

[0035] The calculation method for the tip circle of the driving screw is as follows:

[0036] First, calculate the angle between the line connecting the end point of the epicycloid b1c1 and the center of the rotor profile of the driving screw and the positive half-axis of the x-axis. The included angle That is, half the central angle of the tip circle of the driving screw. The tip circle of the driving screw is determined by the following equation:

[0037]

[0038] Where R1 is the radius of the tip circle of the driving screw tooth.

[0039] Preferably, when the screw clearance ε is 0 and the optimized arc radius ε r When the value is 0, the design of the driven screw rotor profile is as follows:

[0040] The initial root circle of the driven screw teeth is determined by the following equation:

[0041]

[0042] Where r2 is the radius of the root circle of the driven screw tooth, and the corresponding angle of the arc of the root circle of the driven screw tooth is...

[0043] The initial long-amplitude epicycloid b2c2 is determined by the following equation:

[0044]

[0045] in,

[0046]

[0047] Where ρ represents the distance from a point on the long-amplitude epicycloid to the center of the root circle of the driven screw tooth, and the curve is rotated clockwise. The initial long-amplitude epicycloid b2c2 can be obtained by adjusting the angle. The angle corresponding to the arc of the driven screw tooth root circle is half; C is the distance between the centers of the driving screw rotor and the driven screw rotor; ω(ρ) represents the fixed circle that generates the long-amplitude epicycloid b2c2, i.e., the rotation angle of the driven screw tooth root circle; ω M (ρ) represents the moving circle that generates the long-amplitude epicycloid b2c2, i.e., the rotation angle of the tip circle of the active screw tooth; R1 represents the pitch circle radius of the driving screw rotor and the driven screw rotor, respectively; R2 is the radius of the tip circle of the driving screw tooth.

[0048] The initial drive screw tip circle is determined by the following equation:

[0049]

[0050] Where R2 is the radius of the driven screw tooth tip circle, and the corresponding angle of the arc of the driven screw tooth tip circle is...

[0051] Preferably, when the screw clearance ε is not 0, the optimized arc radius ε r When the value is 0, the design of the driven screw rotor profile is as follows:

[0052] The root circle of the driven screw teeth is determined by the following equation:

[0053]

[0054] Wherein, ε is the screw clearance, specifically the minimum distance between the root circle of the driving screw tooth and the tip circle of the driven screw tooth;

[0055] The calculation method for the long-amplitude epicycloid b2c2 is as follows:

[0056] All points of the initial long epicycloid b2c2 are indented inward by ε / 2, and the intersection of the indented long epicycloid b2c2 with the circumference of the driven screw tooth tip circle is taken as the new end point.

[0057] The calculation method for line segment a²b² is as follows:

[0058] Point a2 is the end point of the tooth root circle, and point b2 is the starting point of the long-amplitude epicycloid. Points a2 and b2 form the line segment a2b2.

[0059] The calculation method for the tip circle of the driven screw is as follows:

[0060] First, calculate the angle between the line connecting the end point of the long epicycloid b2c2 and the center (center) of the driven screw rotor profile and the positive half-axis of the x-axis. The included angle That is, it is half of the central angle of the driven screw tooth tip circle. The driven screw tooth tip circle is determined by the following equation:

[0061]

[0062] Where R2 is the radius of the tip circle of the driven screw teeth.

[0063] Preferably, when optimizing the arc radius ε r When the value is not 0, the design of the driven screw rotor profile is as follows:

[0064] The method for optimizing the calculation of circular arc c2d2 is as follows:

[0065] Using the bisection method, we find a center of a circle that satisfies the following condition: the distance from this point to the long-amplitude epicycloid b2c2 and to the tip circle of the driven screw teeth are both ε. rLet c2 and d2 be the points on the epicycloid b2c2 and the driven screw tooth tip circle closest to the center, respectively. Points c2 and d2 are the beginning and end points of the optimized arc c2d2. ε r That is, to optimize the radius of the arc c2d2, thus obtaining the optimized arc c2d2;

[0066] Simultaneously update the long-amplitude epicycloid b2c2 and the tip circle of the driven screw teeth.

[0067] The present invention also provides a computer program product comprising a computer program / instructions that, when executed by a processor, implement the aforementioned design of an asymmetric twin-screw rotor profile.

[0068] The present invention also provides a readable storage medium having a computer program stored thereon, which, when executed, implements the design of the asymmetric twin-screw rotor profile.

[0069] The present invention also provides an electronic device, which includes a processor, a memory, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the aforementioned asymmetric twin-screw rotor profile design.

[0070] The advantages of this invention are:

[0071] (1) The present invention provides a novel asymmetric twin-screw rotor profile that supports adjustment of tooth clearance and adjustment of sharp angle optimization.

[0072] (2) The present invention can generate a fully meshed twin-screw rotor.

[0073] (3) The twin-screw rotor generated by the present invention has low leakage. Attached Figure Description

[0074] Figure 1 This is a schematic diagram of the initial active screw rotor profile in this embodiment.

[0075] Figure 2 This is a schematic diagram of the initial driven screw rotor profile in this embodiment.

[0076] Figure 3 This is the profile diagram of the initial asymmetric twin-screw rotor in this embodiment.

[0077] Figure 4 This is a schematic diagram of the active screw rotor profile with optimized curves and screw clearance in this embodiment.

[0078] Figure 5 This is a schematic diagram of the driven screw rotor profile with optimized arc and screw clearance in this embodiment.

[0079] Figure 6 This is a profile diagram of the novel asymmetric twin-screw rotor in this embodiment. Detailed Implementation

[0080] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0081] Example 1

[0082] Depend on Figures 1-6 As shown, an asymmetric twin-screw rotor profile includes a driving screw rotor and a driven screw rotor. The profiles of the driving screw rotor and the driven screw rotor are specifically shown below:

[0083] The profile of the driving screw rotor includes: two segments of driving screw tooth root arcs, two segments of driving screw tooth tip arcs, four segments of Bézier curves, and four segments of epicycloids. The driving screw rotor profile is a centrally symmetrical figure.

[0084] When the screw clearance ε is 0, the four Bézier curves do not exist. A schematic diagram of the initial driving screw rotor profile (screw clearance 0) is shown below. Figure 1 As shown, in a clockwise direction, the curves are: the root arc of the driving screw, the epicycloid b1c1, and the tip arc of the driving screw. Subsequent curves are either symmetrical or centrally symmetrical to the above curves.

[0085] When the screw clearance ε is not zero, the four Bézier curves exist. A schematic diagram of the active screw rotor profile with optimized curves and screw clearance is shown below. Figure 4 As shown, in a clockwise direction, the curves are: the root arc of the driving screw, the Bézier curve a1b1, the epicycloid b1c1, and the tip arc of the driving screw. The subsequent curves are either symmetrical or centrally symmetrical to the above curves.

[0086] The driven screw rotor profile includes: 3 segments of driven screw tooth root arcs, 3 segments of driven screw tooth tip arcs, 6 line segments, 6 long-amplitude epicycloids, and 6 optimized arcs. The driven screw rotor profile is a rotationally symmetric figure.

[0087] When the screw clearance ε is 0, the 6 line segments do not exist; when the optimized arc radius ε is 0... r When the value is 0, the 6 optimized arc segments do not exist. The initial driven screw rotor profile (when the screw clearance is 0 and the optimized arc radius ε) r A diagram showing that the result is 0 is shown below. Figure 2As shown, in a clockwise direction, the curves are: the circular arc at the root of the driven screw tooth, the long-amplitude epicycloid b2c2, and the circular arc at the tip of the driven screw tooth. Subsequent curves are all rotations and symmetries of the above curves.

[0088] When the screw clearance ε is not 0, 6 line segments exist; when optimizing the arc radius ε r When the value is not 0, the 6 optimized arc segments exist. A schematic diagram of the driven screw rotor profile with optimized arcs and screw clearance is shown below. Figure 5 As shown, in clockwise order, the curves are: driven screw tooth root arc, line segment a2b2, long-amplitude epicycloid b2c2, optimized arc c2d2, driven screw tooth tip arc, and subsequent curves are all rotations and symmetries of the above curves.

[0089] Figure 3 This is the profile diagram of the initial asymmetric twin-screw rotor in an embodiment of the present invention. Figure 6 This is a profile diagram of a novel asymmetric twin-screw rotor according to an embodiment of the present invention.

[0090] Example 2

[0091] Based on the above embodiment 1, an asymmetric twin-screw rotor profile is designed as follows:

[0092] When the screw clearance ε is 0, such as Figure 1 As shown, the calculation method for each segment of the rotor profile of the driving screw is as follows:

[0093] S11, the initial root circle of the driving screw tooth is determined by the following equation:

[0094]

[0095] Where θ represents the central angle; r1 is the radius of the root circle of the driving screw; and the angle corresponding to the arc of the root circle of the driving screw is...

[0096] S12, the initial epicycloid b1c1 is determined by the following equation:

[0097]

[0098] in,

[0099]

[0100] Where ρ represents the distance from a point on the epicycloid to the center of the root circle of the driving screw tooth. Rotating the above curve clockwise... The initial epicycloid b1c1 can be obtained by adjusting the angle. ω is half the angle corresponding to the arc of the root circle of the driving screw; C is the distance between the centers (center of the root circle or center of the tip circle) of the driving screw rotor and the driven screw rotor; ω(ρ) represents the rotation angle of the fixed circle (root circle of the driving screw) that generates the epicycloid b1c1; ω M (ρ) represents the rotation angle of the moving circle (the tip circle of the driven screw tooth) that generates the epicycloid b1c1; R1 and R2 are the pitch circle radii of the driving screw rotor and the driven screw rotor, respectively; R2 is the radius of the tip circle of the driven screw teeth.

[0101] S13, the initial tip circle of the driving screw is determined by the following equation:

[0102]

[0103] Where R1 is the radius of the tip circle of the driving screw; the angle corresponding to the arc of the tip circle of the driving screw is...

[0104] When the screw clearance ε is not 0, such as Figure 4 As shown, the calculation method for each segment of the rotor profile of the driving screw is as follows:

[0105] S14, the root circle of the driving screw tooth is determined by the following equation:

[0106]

[0107] Where ε is the screw clearance, specifically the minimum distance between the root circle of the driving screw tooth and the tip circle of the driven screw tooth.

[0108] S15, the calculation method for the epicycloid b1c1 is as follows:

[0109] Indent all points of the initial epicycloid b1c1 by ε, and take the intersection of the final tangent and the tooth tip circle as the new final point.

[0110] S16, the calculation method for Bézier curve a1b1 is as follows:

[0111] Let E(x) be the end point of the circular arc at the root of the driving screw tooth. e ,y e The slope at point E is k. e ;

[0112] The starting point of the epicycloid b1c1 is F(x) f y f The slope at point F is k. f ;

[0113] Let point G(x) g ,y g () is the intersection of the tangents to the epicycloid b1c1 at points E and F.

[0114] The Bézier curve is then determined by the following equation:

[0115]

[0116] Where t represents the curve parameter.

[0117] S17, the calculation method for the addendum circle of the driving screw is as follows:

[0118] First, calculate the angle between the line connecting the end point of the epicycloid b1c1 and the center (origin) of the rotor profile of the driving screw and the positive x-axis. The included angle That is, half the central angle of the tip circle of the driving screw. The tip circle of the driving screw is determined by the following equation:

[0119]

[0120] Where R1 is the radius of the tip circle of the driving screw tooth.

[0121] When the screw clearance ε is 0, optimize the arc radius ε r When it is 0, such as Figure 2 As shown, the calculation method for each segment of the driven screw rotor profile is as follows:

[0122] S21, the initial root circle of the driven screw is determined by the following equation:

[0123]

[0124] Where r2 is the radius of the root circle of the driven screw tooth, and the corresponding angle of the arc of the root circle of the driven screw tooth is...

[0125] S22, the initial long-amplitude epicycloid b2c2 is determined by the following equation:

[0126]

[0127] in,

[0128]

[0129] Where ρ represents the distance from a point on the long-amplitude epicycloid to the center of the root circle of the driven screw tooth, and the curve is rotated clockwise. The initial long-amplitude epicycloid b2c2 can be obtained by adjusting the angle. The angle corresponding to the arc of the driven screw tooth root circle is half; C is the distance between the centers of the driving screw rotor and the driven screw rotor; ω(ρ) represents the rotation angle of the fixed circle (driven screw tooth root circle) that generates the long-amplitude epicycloid b2c2; ω M (ρ) represents the rotation angle of the moving circle (the tip circle of the driving screw tooth) that generates the long-amplitude epicycloid b2c2; R1 represents the pitch circle radius of the driving screw rotor and the driven screw rotor, respectively; R2 is the radius of the tip circle of the driving screw tooth.

[0130] S23, the initial drive screw tip circle is determined by the following equation:

[0131]

[0132] Where R2 is the radius of the driven screw tooth tip circle, and the corresponding angle of the arc of the driven screw tooth tip circle is...

[0133] When the screw clearance ε is not 0, such as Figure 5 As shown, the calculation method for each segment of the driven screw rotor profile is as follows:

[0134] S24, the root circle of the driven screw teeth is determined by the following equation:

[0135]

[0136] Where ε is the screw clearance, specifically the minimum distance between the root circle of the driving screw tooth and the tip circle of the driven screw tooth.

[0137] The calculation method for the long-amplitude epicycloid b2c2 of S25 is as follows:

[0138] All points of the initial long epicycloid b2c2 are indented inward by ε / 2, and the intersection of the indented long epicycloid b2c2 with the circumference of the driven screw tooth tip circle is taken as the new end point.

[0139] S26, the calculation method for line segment a2b2 is as follows:

[0140] Point a2 is the end point of the tooth root circle, and point b2 is the starting point of the long-amplitude epicycloid. Points a2 and b2 form the line segment a2b2.

[0141] S27, the calculation method for the addendum circle of the driven screw is as follows:

[0142] First, calculate the angle between the line connecting the end point of the long epicycloid b2c2 and the center (center) of the driven screw rotor profile and the positive half-axis of the x-axis. The included angle That is, it is half of the central angle of the driven screw tooth tip circle. The driven screw tooth tip circle is determined by the following equation:

[0143]

[0144] Where R2 is the radius of the tip circle of the driven screw teeth.

[0145] Furthermore, when optimizing the radius ε of the arc r When it is not 0, such as Figure 5As shown, the calculation method for each segment of the driven screw rotor profile is as follows:

[0146] S28, the optimized calculation method for circular arc c2d2 is as follows:

[0147] Using the bisection method, we find a center of a circle that satisfies the following condition: the distance from this point to the long-amplitude epicycloid b2c2 and to the tip circle of the driven screw teeth are both ε. r Let c2 and d2 be the points on the epicycloid b2c2 and the driven screw tooth tip circle closest to the center, respectively. Points c2 and d2 are the beginning and end points of the optimized arc c2d2. ε r This involves optimizing the radius of the arc c2d2, thus obtaining the optimized arc c2d2. Simultaneously, the long-amplitude epicycloid b2c2 and the tip circle of the driven screw teeth are updated.

[0148] Example 3

[0149] An electronic device includes a processor, a memory, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, it implements an asymmetric twin-screw rotor profile design according to Embodiment 2 above.

[0150] The electronic device in this application embodiment may be the mobile device itself, or a standalone device independent of it. The standalone device may communicate with the mobile device to receive the collected input signals from it and send the selected target decision behavior to it.

[0151] An electronic device includes one or more processors and memory. The processor may be a central processing unit (CPU) or other processing unit with data processing capabilities and / or instruction execution capabilities, and may control other components in the electronic device to perform desired functions. The memory may include one or more computer program products, which may include various forms of computer-readable storage media, such as volatile memory and / or non-volatile memory. The volatile memory may, for example, include random access memory (RAM) and / or cache memory. The non-volatile memory may, for example, include read-only memory (ROM), hard disk, flash memory, etc. One or more computer program instructions may be stored on the computer-readable storage medium, and the processor may execute the program instructions to implement the decision-making behavior and decision-making methods of the various embodiments of this application described above, and / or other desired functions.

[0152] Electronic devices may also include input devices and output devices.

[0153] Example 4

[0154] In addition to the methods and devices described above, embodiments of this application may also be computer program products, which include computer program instructions that, when executed by a processor, cause the processor to perform the steps in the decision-making behavior method according to various embodiments of this application as described in Embodiment 2 above.

[0155] The computer program product can be written in any combination of one or more programming languages ​​to perform the operations of the embodiments of this application. The programming languages ​​include object-oriented programming languages ​​such as Java and C++, as well as conventional procedural programming languages ​​such as C or similar languages. The program code can be executed entirely on the user's computing device, partially on the user's computing device, as a standalone software package, partially on the user's computing device and partially on a remote computing device, or entirely on a remote computing device or server.

[0156] Example 5

[0157] Embodiments of this application may also be computer-readable storage media storing computer program instructions thereon, which, when executed by a processor, cause the processor to perform the steps in the decision-making behavior decision-making method according to various embodiments of this application described in Embodiment 2 above.

[0158] The computer-readable storage medium may be any combination of one or more readable media. A readable medium may be a readable signal medium or a readable storage medium. A readable storage medium may, for example, include, but is not limited to, electrical, magnetic, optical, electromagnetic, infrared, or semiconductor systems, apparatuses, or devices, or any combination thereof. More specific examples of readable storage media (a non-exhaustive list) include: electrical connections having one or more wires, portable disks, hard disks, random access memory (RAM), read-only memory (ROM), erasable programmable read-only memory (EPROM or flash memory), optical fibers, portable compact disk read-only memory (CD-ROM), optical storage devices, magnetic storage devices, or any suitable combination thereof.

[0159] The above are merely preferred embodiments of the present invention and are not intended to limit the scope of the present invention. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.

Claims

1. An asymmetric twin-screw rotor profile, characterized in that, Asymmetric twin-screw rotors include a driving screw rotor and a driven screw rotor; The rotor profile of the driving screw includes: two segments of driving screw tooth root arcs, two segments of driving screw tooth tip arcs, and four segments... Curve, 4-segment epicycloid; the rotor profile of the driving screw is a centrally symmetrical figure, and the basic unit includes half-segment driving screw tooth root arcs connected end to end in a clockwise direction, and 1 segment The curve, one segment of epicycloid, and half of the active screw tooth tip circle arc, after axially and centrally symmetric analysis of the basic unit, constitute the active screw rotor profile; among them, when the screw clearance... When the value is 0, the four segments of the active screw rotor profile The curve does not exist; The driven screw rotor profile includes: 3 segments of driven screw tooth root arcs, 3 segments of driven screw tooth tip arcs, 6 line segments, 6 long-amplitude epicycloids, and 6 optimized arcs. The driven screw rotor profile is a rotationally symmetric figure. The basic unit includes half a driven screw tooth root arc, 1 line segment, 1 long-amplitude epicycloid, 1 optimized arc, and half a driven screw tooth tip arc connected sequentially in a clockwise direction. After symmetry and rotation of the basic unit, the driven screw rotor profile is formed. Wherein, when the screw clearance... When the value is 0, the 6 segments of the driven screw rotor profile do not exist; when the optimized arc radius is 0, the 6 optimized arc segments of the driven screw rotor profile do not exist. When screw clearance When the value is 0, the design of the active screw rotor profile is as follows: The initial root circle of the driving screw tooth is determined by the following equation: in, Indicates the central angle; The radius of the root circle of the driving screw tooth is ; the corresponding angle of the arc of the root circle of the driving screw tooth is . ; Initial epicycloid Determined by the following equation: in, in, This represents the distance from a point on the epicycloid to the center of the root circle of the driving screw tooth. The curve is rotated clockwise. The initial epicycloid can be obtained by adjusting the angle. ; It is half the angle corresponding to the arc of the root circle of the active screw tooth; The distance between the centers of the driving screw rotor and the driven screw rotor; Indicates the generation of an epicycloid The fixed circle is the root radius of the active screw tooth; Indicates the generation of an epicycloid The moving circle is the angle of rotation of the tip circle of the driven screw tooth; , These are the pitch circle radii of the driving screw rotor and the driven screw rotor, respectively. The radius of the tip circle of the driven screw teeth; The initial tip circle of the driving screw is determined by the following equation: in, The radius of the addendum circle of the driving screw is ; the corresponding angle of the arc of the addendum circle of the driving screw is . .

2. The asymmetric twin-screw rotor profile according to claim 1, characterized in that, When screw clearance When the value is not 0, the design of the rotor profile of the active screw is as follows: The root circle of the driving screw teeth is determined by the following equation: in, The screw clearance is specifically the minimum distance between the root circle of the driving screw tooth and the tip circle of the driven screw tooth. Epicycloid The calculation method is as follows: The initial epicycloid All points indented The intersection of the final tangent and the circumference of the tooth tip circle is taken as the new final point; curve The calculation method is as follows: Let the end point of the circular arc at the root of the driving screw be... ,exist The slope of the point is ; Epicycloid The starting point is ,exist The slope of the point is ; Setting points epicycloid exist , The intersection of the tangents at two points; but The curve is determined by the following equation: in, Indicates curve parameters; The calculation method for the tip circle of the driving screw is as follows: First calculate the epicycloid The angle between the line connecting the end point and the center of the rotor profile of the driving screw and the positive half-axis of the x-axis. The included angle That is, half the central angle of the tip circle of the driving screw. The tip circle of the driving screw is determined by the following equation: in, The radius of the tip circle of the active screw tooth.

3. The asymmetric twin-screw rotor profile according to claim 1, characterized in that, When screw clearance Set to 0, optimize the radius of the arc. When the value is 0, the design of the driven screw rotor profile is as follows: The initial root circle of the driven screw teeth is determined by the following equation: in, Let be the radius of the root circle of the driven screw teeth, and let be the corresponding angle of the arc of the root circle of the driven screw teeth. ; Initial long-amplitude epicycloid Determined by the following equation: in, in, This represents the distance from a point on the long epicycloid to the center of the root circle of the driven screw tooth. Rotating the curve clockwise... The initial long-amplitude epicycloid can be obtained by adjusting the angle. ; It is half the angle corresponding to the arc of the root circle of the driven screw tooth; The distance between the centers of the driving screw rotor and the driven screw rotor; Indicates the generation of a long-amplitude epicycloid. The fixed circle is the root circle of the driven screw teeth. Indicates the generation of a long-amplitude epicycloid. The moving circle is the rotation angle of the tip circle of the active screw tooth; , These are the pitch circle radii of the driving screw rotor and the driven screw rotor, respectively. The radius of the tip circle of the active screw tooth; The initial drive screw tip circle is determined by the following equation: in, Let be the radius of the driven screw tooth tip circle, and let be the corresponding angle of the arc of the driven screw tooth tip circle. .

4. The asymmetric twin-screw rotor profile according to claim 3, characterized in that, When screw clearance Non-zero, optimize arc radius When the value is 0, the design of the driven screw rotor profile is as follows: The root circle of the driven screw teeth is determined by the following equation: in, The screw clearance is specifically the minimum distance between the root circle of the driving screw tooth and the tip circle of the driven screw tooth. Long-width cycloid The calculation method is as follows: The initial long-amplitude epicycloid All points indented The long epicycloid after shrinking The intersection point with the circumference of the driven screw tooth tip circle is taken as the new ending point; line segment The calculation method is as follows: point Point is the end of the root circle. Point is the starting point of the long epicycloid. and points Forming line segments ; The calculation method for the tip circle of the driven screw is as follows: First calculate the long-amplitude epicycloid. The angle between the line connecting the end point and the center of the driven screw rotor profile (i.e., the center of the circle) and the positive half-axis of the x-axis. The included angle That is, it is half of the central angle of the driven screw tooth tip circle. The driven screw tooth tip circle is determined by the following equation: in, The radius of the tip circle of the driven screw teeth.

5. An asymmetric twin-screw rotor profile according to claim 3 or 4, characterized in that, When optimizing the radius of the arc When the value is not 0, the design of the driven screw rotor profile is as follows: Optimize arc The calculation method is as follows: Use the bisection method to find a center of a circle that satisfies the condition that the point is equidistant from the long-amplitude epicycloid. The distance to the tip circle of the driven screw tooth is both , causing the long epicycloid The point on the tip circle of the driven screw tooth that is closest to the center of the circle is point (1). and points ,point and points That is, to optimize the arc The beginning and end points, That is, to optimize the arc The radius is used to obtain the optimized arc. ; At the same time, update the long-amplitude outward-curving line. and the tip circle of the driven screw teeth.

6. A computer program product, characterized in that, It includes a computer program that, when executed by a processor, implements the design of an asymmetric twin-screw rotor profile as described in any one of claims 1 to 5.

7. A readable storage medium, characterized in that, It stores a computer program, which, when executed, implements the design of an asymmetric twin-screw rotor profile as described in any one of claims 1 to 5.

8. An electronic device, characterized in that, It includes a processor, a memory, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, it implements the design of an asymmetric twin-screw rotor profile as described in any one of claims 1 to 5.

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