CN111622944A - Rotor and stator of a conical single-screw gas-liquid mixed pump - Google Patents

Rotor and stator of a conical single-screw gas-liquid mixed pump Download PDF

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CN111622944A
CN111622944A CN202010616814.3A CN202010616814A CN111622944A CN 111622944 A CN111622944 A CN 111622944A CN 202010616814 A CN202010616814 A CN 202010616814A CN 111622944 A CN111622944 A CN 111622944A
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conical
stator
iii
face
rotor
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王君
董丽宁
刘译阳
武萌
谈庆朋
奚周瑾
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China University of Petroleum East China
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04CROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C2/00Rotary-piston machines or pumps
    • F04C2/08Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing
    • F04C2/10Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of internal-axis type with the outer member having more teeth or tooth-equivalents, e.g. rollers, than the inner member
    • F04C2/107Rotary-piston machines or pumps of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of internal-axis type with the outer member having more teeth or tooth-equivalents, e.g. rollers, than the inner member with helical teeth
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04CROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C15/00Component parts, details or accessories of machines, pumps or pumping installations, not provided for in groups F04C2/00 - F04C14/00
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04CROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C2240/00Components
    • F04C2240/10Stators
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04CROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C2240/00Components
    • F04C2240/20Rotors
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04CROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C2250/00Geometry
    • F04C2250/20Geometry of the rotor
    • F04C2250/201Geometry of the rotor conical shape
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04CROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C2250/00Geometry
    • F04C2250/30Geometry of the stator
    • F04C2250/301Geometry of the stator compression chamber profile defined by a mathematical expression or by parameters

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Rotary Pumps (AREA)

Abstract

本发明公开了一种锥形单螺杆气液混输泵的转子与定子,包括锥形转子(1)和锥形定子(2);锥形转子(1)和锥形定子(2)从入口端面(Ⅰ‑Ⅰ)到出口端面(Ⅲ‑Ⅲ),各截面型线半径和偏心距均以截面几何中心为基点呈线性锥形减小,各截面均能够实现完全正确啮合;所公开的气液混输泵不但增大了单螺杆气液混输泵的入口流量,而且提高了内容积比,使得出口压力更大,适用范围和应用领域更广;同时,在气液比升高的情况下,仍然能够有效避免形成气塞、在相同的出、入口参数下,随着螺杆长度的减小,摩擦磨损、泄漏也相应减小,螺杆寿命更长。

Figure 202010616814

The invention discloses a rotor and a stator of a conical single-screw gas-liquid mixed pump, comprising a conical rotor (1) and a conical stator (2); the conical rotor (1) and the conical stator (2) are connected from an inlet From the end face (I-I) to the outlet end face (III-III), the profile radius and eccentricity of each section are reduced linearly and conically with the geometric center of the section as the base point, and each section can achieve complete and correct meshing; the disclosed gas The liquid mixing pump not only increases the inlet flow of the single-screw gas-liquid mixing pump, but also increases the internal volume ratio, making the outlet pressure larger, and the scope of application and application field is wider; at the same time, when the gas-liquid ratio increases It can still effectively avoid the formation of gas plugs. Under the same outlet and inlet parameters, as the length of the screw decreases, the friction, wear and leakage are also reduced accordingly, and the life of the screw is longer.

Figure 202010616814

Description

一种锥形单螺杆气液混输泵的转子与定子Rotor and stator of a conical single-screw gas-liquid mixed pump

技术领域technical field

本发明涉及单螺杆泵,尤其涉及锥形单螺杆泵,特别是一种锥形单螺杆气液混输泵的转子与定子。The invention relates to a single-screw pump, in particular to a conical single-screw pump, in particular to a rotor and a stator of a conical single-screw gas-liquid mixed pump.

背景技术Background technique

单螺杆泵是一种容积式转子泵,具有工质适应能力强、流量平稳、维修方便特点,被广泛应用于农业、石油、化学工业及食品领域。单螺杆泵的主要工作部件是一对啮合的螺杆转子和定子。螺杆转子的特性决定了单螺杆泵的性能。在外界动力源的驱动下,两者螺旋状的过盈配合形成连续的密封腔体,实现对介质的传输过程。单螺杆泵截面和螺距的变化形式直接决定了螺杆转子的特性。The single-screw pump is a positive displacement rotor pump, which has the characteristics of strong adaptability of working medium, stable flow and convenient maintenance. It is widely used in agriculture, petroleum, chemical industry and food fields. The main working parts of a single screw pump are a pair of meshing screw rotors and stators. The characteristics of the screw rotor determine the performance of the single screw pump. Driven by the external power source, the helical interference fit of the two forms a continuous sealed cavity to realize the transmission process of the medium. The variation of the section and pitch of the single screw pump directly determines the characteristics of the screw rotor.

中国专利,公告号CN2037782U提出了一种锥形单螺杆泵;其特点是:提出了三种锥形单螺杆泵的成形方式,分别是转子形成圆的直径变化、转子形成圆的偏心距变化和两者同时变化。通过调整锥形螺杆转子和衬套定子的工作间隙,可以实现转子和定子之间不同的啮合方式,扩大了单螺杆的使用范围和使用寿命,但是没有给出具体的齿形曲线方程,螺杆成形及加工制造困难。Chinese patent, bulletin number CN2037782U proposes a conical single-screw pump; its characteristics are: three forming methods of conical single-screw pump are proposed, namely, the diameter change of the rotor forming circle, the eccentricity change of the rotor forming circle and the Both change at the same time. By adjusting the working clearance of the conical screw rotor and the bushing stator, different meshing methods between the rotor and the stator can be realized, which expands the use range and service life of the single screw, but no specific tooth curve equation is given, the screw forming and difficult to manufacture.

发明内容SUMMARY OF THE INVENTION

本发明为了最大限度地提高单螺杆泵的内容积比,进而提高单螺杆泵的出口压力,并提高单螺杆泵的入口流量,本发明提出了一种锥形单螺杆气液混输泵的转子与定子。本发明锥形转子(1)和锥形定子(2)从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ),各截面型线半径和偏心距均以截面几何中心为基点呈线性锥形减小,各截面均能够实现完全正确啮合;在气液比升高的情况下,仍然能够有效避免形成气塞,运输效率更高。在相同的当量尺寸下,在吸入端有较大的容积,在排出端有较大的压力,适用范围和应用领域更广;在相同的出、入口参数下,螺杆的轴向长度大大减小,摩擦磨损、泄漏也相应减小,螺杆寿命更长,对提高单螺杆泵的综合性能具有重要意义。In order to maximize the internal volume ratio of the single-screw pump, thereby increasing the outlet pressure of the single-screw pump, and increasing the inlet flow of the single-screw pump, the present invention provides a rotor for a conical single-screw gas-liquid mixed pump. with stator. From the inlet end face (I-I) to the outlet end face (III-III) of the conical rotor (1) and the conical stator (2) of the present invention, the profile radius and eccentricity of each section are linear cones based on the geometric center of the section The shape is reduced, and each section can achieve complete and correct meshing; in the case of an increased gas-liquid ratio, the formation of gas plugs can still be effectively avoided, and the transportation efficiency is higher. Under the same equivalent size, there is a larger volume at the suction end and a larger pressure at the discharge end, and the scope of application and application is wider; under the same outlet and inlet parameters, the axial length of the screw is greatly reduced , friction wear and leakage are also reduced accordingly, and the screw life is longer, which is of great significance to improve the comprehensive performance of the single screw pump.

为了实现上述目的,本发明采用如下技术方案:In order to achieve the above object, the present invention adopts the following technical solutions:

一种锥形单螺杆气液混输泵的转子与定子,包括:锥形转子(1)和锥形定子(2),锥形转子(1)入口端面(Ⅰ-Ⅰ)处的截面型线是半径为R,偏心距为E的圆,锥形转子(1)出口端面(Ⅲ-Ⅲ)处的截面型线是半径为r,偏心距为e的圆;A rotor and a stator of a conical single-screw gas-liquid mixed pump, comprising: a conical rotor (1) and a conical stator (2), and a cross-sectional profile at the inlet end face (I-I) of the conical rotor (1) is a circle with radius R and eccentricity E, the section profile at the outlet end face (III-III) of conical rotor (1) is a circle with radius r and eccentricity e;

锥形定子(2)入口端面(Ⅰ-Ⅰ)处的截面型线由4段曲线顺次连接而成,依次为,第一圆弧ABC、第一直线段CD、第二圆弧DEF和第二直线段FA,两圆弧半径均为R,直线段长度均为4E,锥形定子(2)出口端面(Ⅲ-Ⅲ)处的截面型线由4段曲线顺次连接而成,依次为,第三圆弧abc、第三直线段cd、第四圆弧def和第四直线段fa,两圆弧半径均为r,直线段长度均为4e;The section profile at the inlet end face (I-I) of the conical stator (2) is formed by connecting 4 segments of curves in sequence, which are the first arc ABC, the first straight segment CD, the second arc DEF and the first arc. Two straight line segments FA, the radius of the two arcs are both R, and the length of the straight line segment is both 4E. , the third arc abc, the third straight segment cd, the fourth arc def and the fourth straight segment fa, the radius of the two arcs are r, and the length of the straight segment is 4e;

锥形转子(1)和锥形定子(2)从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ),截面型线半径与偏心距均以截面几何中心为基点呈线性锥形减小,满足R=αr,E=αe,α<1为截面缩放系数;From the inlet end face (Ⅰ-Ⅰ) to the outlet end face (Ⅲ-Ⅲ) of the conical rotor (1) and the conical stator (2), the radius of the section profile and the eccentricity decrease linearly and conically with the geometric center of the section as the base point , satisfies R=αr, E=αe, α<1 is the section scaling factor;

锥形转子(1)和锥形定子(2)之间做变运动规律的动点行星回转运动,各个截面上转子的公转和自转角速度相等,公转和自转半径从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ)依次线性减小,不同截面位置处,转子和定子之间均能够实现完全正确啮合,从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ)形成容积连续变化的封闭工作腔,所形成的封闭工作腔容积逐渐减小。Between the conical rotor (1) and the conical stator (2), the dynamic point planetary rotary motion with variable motion law is performed. The revolution and rotation angular speeds of the rotor on each section are equal, and the revolution and rotation radii are from the inlet end face (I-I) to the The outlet end face (III-III) decreases linearly in sequence, and at different cross-sectional positions, the rotor and the stator can achieve complete and correct meshing. The closed working chamber is closed, and the volume of the formed closed working chamber is gradually reduced.

一种锥形单螺杆气液混输泵的转子与定子,从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ),锥形转子(1)的螺旋展开角τ1由0至3π连续变化:在入口端面(Ⅰ-Ⅰ)处,螺旋展开角τ1=0,在中间轴向截面(Ⅱ-Ⅱ)处,螺旋展开角τ1=1.5π,在出口端面(Ⅲ-Ⅲ)处,螺旋展开角τ1=3π,随着螺旋展开角τ1由0至3π,锥心转子(1)的齿形曲线方程为:A rotor and a stator of a conical single-screw gas-liquid mixed pump, from the inlet end face (I-I) to the outlet end face (III-III), the spiral expansion angle τ 1 of the conical rotor (1) is continuous from 0 to 3π Variation: at the inlet end face (I-I), the helical expansion angle τ 1 =0, at the middle axial section (II-II), the helical expansion angle τ 1 =1.5π, at the outlet end face (III-III) , the spiral expansion angle τ 1 =3π, with the spiral expansion angle τ 1 from 0 to 3π, the tooth profile curve equation of the conical rotor (1) is:

Figure BDA0002564059700000021
Figure BDA0002564059700000021

式中,P11)和H分别为锥形转子(1)的螺距和高度,τ0为角度参数,0≤τ0≤2π;where P 11 ) and H are the pitch and height of the conical rotor (1), respectively, τ 0 is the angle parameter, 0≤τ 0 ≤2π;

从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ),锥形定子(2)的螺旋展开角τ2由0至1.5π连续变化:在入口端面(Ⅰ-Ⅰ)处,螺旋展开角τ2=0,在中间轴向截面(Ⅱ-Ⅱ)处,螺旋展开角τ2=0.75π,在出口端面(Ⅲ-Ⅲ)处,螺旋展开角τ2=1.5π,随着螺旋展开角τ2由0至1.5π,锥形定子(2)圆弧段的齿形曲线方程为:From the inlet end face (I-I) to the outlet end face (III-III), the spiral expansion angle τ2 of the conical stator ( 2 ) changes continuously from 0 to 1.5π: at the inlet end surface (I-I), the spiral expansion angle τ 2 =0, at the middle axial section (II-II), the helical expansion angle τ 2 =0.75π, at the outlet end face (III-III), the helical expansion angle τ 2 =1.5π, with the helical expansion angle τ 2 is from 0 to 1.5π, the tooth curve equation of the circular arc segment of the tapered stator (2) is:

Figure BDA0002564059700000031
Figure BDA0002564059700000031

式中,τ3为角度参数,

Figure BDA0002564059700000032
P22)为锥形定子(2)的螺距,且满足P22)=2P11);where τ 3 is the angle parameter,
Figure BDA0002564059700000032
P 22 ) is the pitch of the tapered stator (2), and satisfies P 22 )=2P 11 );

锥形定子(2)直线段的齿形曲线方程为:The tooth curve equation of the straight line segment of the tapered stator (2) is:

Figure BDA0002564059700000033
Figure BDA0002564059700000033

式中,τ4为角度参数,0≤τ4≤π;In the formula, τ 4 is the angle parameter, 0≤τ 4 ≤π;

一种锥形单螺杆气液混输泵的转子与定子,锥形转子(1)的螺旋线L1由半径发生变化的发生圆O1逆时针螺旋展开生成,螺旋线L1的方程为:Disclosed is a rotor and a stator of a conical single-screw gas-liquid mixed pump. The helix L1 of the conical rotor ( 1 ) is generated by a counterclockwise spiral expansion of a generating circle O1 whose radius changes. The equation of the helix L1 is:

Figure BDA0002564059700000034
Figure BDA0002564059700000034

锥形定子(2)的螺旋线L2由半径发生变化的发生圆O2逆时针螺旋展开生成,螺旋线L2的方程为:The spiral line L 2 of the conical stator (2) is generated by the counterclockwise spiral expansion of the occurrence circle O 2 whose radius changes. The equation of the spiral line L 2 is:

Figure BDA0002564059700000041
Figure BDA0002564059700000041

本发明的有益效果为:The beneficial effects of the present invention are:

①所提出的一种锥形单螺杆气液混输泵的转子与定子,锥形转子(1)和锥形定子(2)从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ)截面尺寸和偏心距均呈线性减小,与现有锥形单螺杆气液混输泵相比,在相同的结构参数下,内容积比明显增加,出口压力更高,拓宽了锥形单螺杆气液混输泵的应用范围;①The rotor and stator of the proposed conical single-screw gas-liquid mixed pump, the section of the conical rotor (1) and the conical stator (2) from the inlet end face (Ⅰ-Ⅰ) to the outlet end face (Ⅲ-Ⅲ) Both the size and the eccentricity decrease linearly. Compared with the existing conical single-screw gas-liquid mixed infusion pump, under the same structural parameters, the internal volume ratio is significantly increased, the outlet pressure is higher, and the conical single-screw gas-liquid pump is widened. Application range of liquid mixing pump;

②变运动规律的锥形单螺杆气液混输泵,在气液比升高的情况下,仍然能够有效避免形成气塞,从而保证了气液混输泵的正常工作;②The conical single-screw gas-liquid mixing pump with variable motion law can still effectively avoid the formation of gas plug when the gas-liquid ratio increases, thus ensuring the normal operation of the gas-liquid mixing pump;

③螺杆转子和定子的长度决定了螺距的变化方式,有利于螺杆转子的设计和加工;③The length of the screw rotor and the stator determines the way of changing the pitch, which is beneficial to the design and processing of the screw rotor;

④在相同的出、入口参数下,螺杆的轴向尺寸大大减小,结构更加紧凑,转子和定子之间的摩擦及泄漏通道也因此减小,螺杆泵寿命更长;④ Under the same inlet and outlet parameters, the axial size of the screw is greatly reduced, the structure is more compact, the friction and leakage channels between the rotor and the stator are also reduced, and the life of the screw pump is longer;

⑤通过调整锥形螺杆转子和衬套定子的工作间隙,可以实现转子和定子之间不同的啮合方式,适用领域更加广泛。⑤ By adjusting the working clearance of the conical screw rotor and the bushing stator, different meshing modes between the rotor and the stator can be realized, and the application field is wider.

附图说明Description of drawings

图1为锥形转子(1)的二维图。Figure 1 is a two-dimensional view of a conical rotor (1).

图2为锥形转子(1)入口端面(Ⅰ-Ⅰ)处的截面型线图。Figure 2 is a cross-sectional profile diagram at the inlet end face (I-I) of the conical rotor (1).

图3为锥形转子(1)出口端面(Ⅲ-Ⅲ)处的截面型线图。Fig. 3 is a cross-sectional profile diagram at the outlet end face (III-III) of the conical rotor (1).

图4为锥形定子(2)的二维剖面图。Figure 4 is a two-dimensional cross-sectional view of the tapered stator (2).

图5为锥形定子(2)入口端面(Ⅰ-Ⅰ)处的截面型线图。Figure 5 is a cross-sectional profile diagram at the inlet end face (I-I) of the tapered stator (2).

图6为锥形定子(2)出口端面(Ⅲ-Ⅲ)处的截面型线图。Figure 6 is a cross-sectional profile diagram at the outlet end face (III-III) of the conical stator (2).

图7为入口端面(Ⅰ-Ⅰ)处转子截面型线和定子截面型线啮合图。Figure 7 is a meshing diagram of the rotor section profile and the stator section profile at the inlet end face (I-I).

图8为中间轴向截面(Ⅱ-Ⅱ)处转子截面型线和定子截面型线啮合图。FIG. 8 is a meshing diagram of the rotor section profile and the stator section profile at the middle axial section (II-II).

图9为出口端面(Ⅲ-Ⅲ)处转子截面型线和定子截面型线啮合图。Figure 9 is a meshing diagram of the rotor section profile and the stator section profile at the outlet end face (III-III).

图10为锥形转子(1)在锥形定子(2)内的装配图。Figure 10 is an assembly view of the conical rotor (1) in the conical stator (2).

图中:1—锥形转子;2—锥形定子;L1—锥形转子(1)的螺旋线;L2—锥形定子(2)的螺旋线;R—锥形转子(1)和锥形定子(2)入口端面(Ⅰ-Ⅰ)处的截面型线圆弧半径;E—锥形转子(1)入口端面(Ⅰ-Ⅰ)处截面型线的偏心距;r—锥形转子(1)和锥形定子(2)出口端面(Ⅲ-Ⅲ)处的截面型线圆弧半径;e—锥形转子(1)出口端面(Ⅲ-Ⅲ)处截面型线的偏心距;H—锥形转子(1)的高度;点O1、O2—分别为锥形转子(1)的截面型线的几何中心点和回转中心点;O—锥形定子(2)的截面型线的回转中心点,两回转中心点所在的轴线分别为螺杆转子和定子的回转中心线。In the figure: 1—conical rotor; 2—conical stator; L1—spiral of conical rotor ( 1 ); L2—spiral of conical stator ( 2 ); R—conical rotor (1) and The arc radius of the section profile at the inlet end face (I-I) of the conical stator (2); E—the eccentricity of the section profile at the inlet end face (I-I) of the conical rotor (1); r—the conical rotor (1) and the arc radius of the section profile at the outlet end face (Ⅲ-Ⅲ) of the conical stator (2); e—eccentricity of the section profile at the outlet end face (Ⅲ-Ⅲ) of the conical rotor (1); H - the height of the conical rotor (1); points O 1 , O 2 - are respectively the geometric center point and the center of rotation of the section profile of the conical rotor (1); O - the section profile of the conical stator (2) The rotation center point of the two rotation center points is the rotation center line of the screw rotor and the stator, respectively.

具体实施方式Detailed ways

下面结合附图与实施例对本发明作进一步说明。The present invention will be further described below with reference to the accompanying drawings and embodiments.

如图1所示,为锥形转子(1)的二维图,锥形转子(1)从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ),截面型线半径与偏心距均以截面几何中心为基点呈线性锥形减小,满足R=αr,E=αe,α<1为截面缩放系数。锥形转子(1)的外凸表面为锥形螺旋面,从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ),由连续线性减小的截面型线边绕其中心线旋转,边按螺距向前移动生成。As shown in Figure 1, it is a two-dimensional view of the conical rotor (1). From the inlet end face (I-I) to the outlet end face (III-III) of the conical rotor (1), the radius of the section profile and the eccentricity are both equal to The geometric center of the section is the base point and decreases linearly in a tapered manner, which satisfies R=αr, E=αe, and α<1 is the section scaling factor. The outer convex surface of the conical rotor (1) is a conical helical surface. From the inlet end face (I-I) to the outlet end face (III-III), the continuous linearly decreasing cross-sectional profile rotates around its center line, and the edge Generated by moving forward by pitch.

随着螺旋展开角τ1由0至3π连续变化,锥形转子(1)的齿形曲线方程为:As the spiral expansion angle τ 1 changes continuously from 0 to 3π, the tooth profile equation of the conical rotor (1) is:

Figure BDA0002564059700000051
Figure BDA0002564059700000051

式中,P11)和H分别为锥形转子(1)的螺距和高度,τ0为角度参数,0≤τ0≤2π;where P 11 ) and H are the pitch and height of the conical rotor (1), respectively, τ 0 is the angle parameter, 0≤τ 0 ≤2π;

锥形转子(1)的螺旋线L1由半径发生变化的发生圆O1逆时针螺旋展开生成,螺旋线L1的方程为:The spiral line L 1 of the conical rotor (1) is generated by the counterclockwise spiral expansion of the occurrence circle O 1 whose radius changes. The equation of the spiral line L 1 is:

Figure BDA0002564059700000061
Figure BDA0002564059700000061

如图2所示,为锥形转子(1)入口端面(Ⅰ-Ⅰ)处的截面型线图,锥形转子(1)入口端面(Ⅰ-Ⅰ)处的截面型线是半径为R,偏心距为E的圆;As shown in Figure 2, it is a cross-sectional profile diagram at the inlet end face (I-I) of the conical rotor (1). A circle with eccentricity E;

如图3所示,为锥形转子(1)出口端面(Ⅲ-Ⅲ)处的截面型线图,锥形转子(1)出口端面(Ⅲ-Ⅲ)处的截面型线是半径为r,偏心距为e的圆;As shown in Figure 3, it is the cross-sectional profile at the outlet end face (III-III) of the conical rotor (1). A circle with eccentricity e;

如图4所示,为锥形定子(2)的二维剖面图,锥形定子(2)从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ),截面型线半径与偏心距均以截面几何中心为基点呈线性锥形减小,满足R=αr,E=αe,α<1为截面缩放系数;As shown in Figure 4, it is a two-dimensional cross-sectional view of the conical stator (2). From the inlet end face (I-I) to the outlet end face (III-III) of the conical stator (2), the radius of the section profile and the eccentricity are the same. Taking the geometric center of the section as the base point, it decreases in a linear cone, satisfying R=αr, E=αe, and α<1 is the section scaling factor;

随着螺旋展开角τ2由0至1.5π连续变化,锥形定子(2)圆弧段的齿形曲线方程为:As the spiral expansion angle τ 2 changes continuously from 0 to 1.5π, the tooth profile curve equation of the circular arc segment of the conical stator (2) is:

Figure BDA0002564059700000062
Figure BDA0002564059700000062

式中,τ3为角度参数,

Figure BDA0002564059700000063
P22)为锥形定子(2)的螺距,且满足P22)=2P11);where τ 3 is the angle parameter,
Figure BDA0002564059700000063
P 22 ) is the pitch of the tapered stator (2), and satisfies P 22 )=2P 11 );

锥形定子(2)直线段的齿形曲线方程为:The tooth curve equation of the straight line segment of the tapered stator (2) is:

Figure BDA0002564059700000064
Figure BDA0002564059700000064

式中,τ4为角度参数,0≤τ4≤π;In the formula, τ 4 is the angle parameter, 0≤τ 4 ≤π;

锥形定子(2)的螺旋线L2由半径发生变化的发生圆O2逆时针螺旋展开生成,螺旋线L2的方程为:The spiral line L 2 of the conical stator (2) is generated by the counterclockwise spiral expansion of the occurrence circle O 2 whose radius changes. The equation of the spiral line L 2 is:

Figure BDA0002564059700000071
Figure BDA0002564059700000071

如图5所示,为锥形定子(2)入口端面(Ⅰ-Ⅰ)处的截面型线图,锥形定子(2)入口端面(Ⅰ-Ⅰ)处的截面型线由4段曲线顺次连接而成,依次为,第一圆弧ABC、第一直线段CD、第二圆弧DEF和第二直线段FA,两圆弧半径均为R,直线段长度均为4E;As shown in Figure 5, it is the cross-sectional profile at the inlet end face (I-I) of the conical stator (2), the cross-sectional profile at the inlet end face (I-I) of the tapered stator (2) is followed by a 4-segment curve The first arc ABC, the first straight line segment CD, the second arc DEF and the second straight line segment FA, the two arc radii are both R, and the length of the straight line segment is 4E;

如图6所示,为锥形定子(2)出口端面(Ⅲ-Ⅲ)处的截面型线图,锥形定子(2)出口端面(Ⅲ-Ⅲ)处的截面型线由4段曲线顺次连接而成,依次为,第三圆弧abc、第三直线段cd、第四圆弧def和第四直线段fa,两圆弧半径均为r,直线段长度均为4e;As shown in Figure 6, it is the cross-sectional profile at the outlet end face (III-III) of the conical stator (2). The second connection is formed, in order, the third arc abc, the third straight line segment cd, the fourth arc def and the fourth straight line segment fa, the radius of the two arcs is r, and the length of the straight line segment is 4e;

如图7、图8和图9所示,分别为入口端面(Ⅰ-Ⅰ)处转子截面型线和定子截面型线啮合图、中间轴向截面(Ⅱ-Ⅱ)处转子截面型线和定子截面型线啮合图和出口端面(Ⅲ-Ⅲ)处转子截面型线和定子截面型线啮合图,从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ),锥形转子(1)的螺旋展开角τ1由0至3π连续变化,在入口端面(Ⅰ-Ⅰ)处,螺旋展开角τ1=0,在中间轴向截面(Ⅱ-Ⅱ)处,螺旋展开角τ1=1.5π,在出口端面(Ⅲ-Ⅲ)处,螺旋展开角τ1=3π;从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ),锥形定子(2)的螺旋展开角τ2由0至1.5π连续变化,在入口端面(Ⅰ-Ⅰ)处,螺旋展开角τ2=0,在中间轴向截面(Ⅱ-Ⅱ)处,螺旋展开角τ2=0.75π,在出口端面(Ⅲ-Ⅲ)处,螺旋展开角τ2=1.5π,随着锥形转子(1)的螺旋展开角τ1由0至4π、锥形定子(2)的螺旋展开角τ2由0至2π连续变化,截面型线半径和偏心距均以自身几何中心为基点呈线性锥形减小,锥形转子(1)和锥形定子(2)彼此之间能够实现正确啮合。As shown in Figure 7, Figure 8 and Figure 9, the meshing diagram of the rotor section profile and the stator section profile at the inlet end face (I-I), the rotor section profile and the stator at the intermediate axial section (II-II), respectively Cross-sectional profile meshing diagram and rotor cross-sectional profile meshing diagram at the outlet end face (III-III) and stator cross-sectional profile meshing diagram, from the inlet end face (I-I) to the outlet end face (III-III), the conical rotor (1) The spiral expansion angle τ 1 changes continuously from 0 to 3π. At the inlet end face (I-I), the spiral expansion angle τ 1 =0, and at the middle axial section (II-II), the spiral expansion angle τ 1 =1.5π , at the outlet end face (III-III), the helix expansion angle τ 1 =3π; from the inlet end face (I-I) to the outlet end face (III-III), the helix expansion angle τ 2 of the conical stator (2) varies from 0 Continuously changing to 1.5π, at the inlet end face (I-I), the spiral expansion angle τ 2 =0, at the middle axial section (II-II), the spiral expansion angle τ 2 =0.75π, at the outlet end face (III-II), the spiral expansion angle τ 2 =0.75π -III), the spiral expansion angle τ 2 =1.5π, with the spiral expansion angle τ 1 of the conical rotor (1) from 0 to 4π, and the spiral expansion angle of the conical stator (2) τ 2 from 0 to 2π continuous The radius of the section profile and the eccentricity decrease linearly and conically based on the geometric center of the section, and the conical rotor (1) and the conical stator (2) can be properly meshed with each other.

如图10所示,为锥形转子(1)在锥形定子(2)内的装配图,包括锥形转子(1)和锥形定子(2),在定点行星回转运动下,锥形转子(1)和锥形定子(2)之间形成容积连续变化的封闭工作腔,封闭工作腔容积从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ)逐渐减小。As shown in Figure 10, it is the assembly diagram of the conical rotor (1) in the conical stator (2), including the conical rotor (1) and the conical stator (2). Under the fixed-point planetary rotation, the conical rotor A closed working cavity with continuously changing volume is formed between (1) and the conical stator (2), and the volume of the closed working cavity gradually decreases from the inlet end face (I-I) to the outlet end face (III-III).

上述虽然结合附图对本发明的具体实施方式进行了描述,但并非对本发明保护范围的限制,所属领域技术人员应该明白,在本发明的技术方案的基础上,本领域技术人员不需要付出创造性劳动即可做出的各种修改或变形仍在本发明的保护范围以内。Although the specific embodiments of the present invention have been described above in conjunction with the accompanying drawings, they do not limit the scope of protection of the present invention. Those skilled in the art should understand that on the basis of the technical solutions of the present invention, those skilled in the art do not need to pay creative work. Various modifications or deformations that can be made are still within the protection scope of the present invention.

Claims (4)

1.一种锥形单螺杆气液混输泵的转子与定子,包括:锥形转子(1)和锥形定子(2),其特征是:锥形转子(1)入口端面(Ⅰ-Ⅰ)处的截面型线是半径为R,偏心距为E的圆,锥形转子(1)出口端面(Ⅲ-Ⅲ)处的截面型线是半径为r,偏心距为e的圆;1. A rotor and a stator of a conical single-screw gas-liquid mixing pump, comprising: a conical rotor (1) and a conical stator (2), characterized in that: the inlet end face (I-I) of the conical rotor (1) ) is a circle with radius R and eccentricity E, and the section profile at the outlet end face (III-III) of conical rotor (1) is a circle with radius r and eccentricity e; 锥形定子(2)入口端面(Ⅰ-Ⅰ)处的截面型线由4段曲线顺次连接而成,依次为,第一圆弧ABC、第一直线段CD、第二圆弧DEF和第二直线段FA,两圆弧半径均为R,直线段长度均为4E,锥形定子(2)出口端面(Ⅲ-Ⅲ)处的截面型线由4段曲线顺次连接而成,依次为,第三圆弧abc、第三直线段cd、第四圆弧def和第四直线段fa,两圆弧半径均为r,直线段长度均为4e;The section profile at the inlet end face (I-I) of the conical stator (2) is formed by connecting 4 segments of curves in sequence, which are the first arc ABC, the first straight segment CD, the second arc DEF and the first arc. Two straight line segments FA, the radius of the two arcs are both R, and the length of the straight line segment is both 4E. , the third arc abc, the third straight segment cd, the fourth arc def and the fourth straight segment fa, the radius of the two arcs are r, and the length of the straight segment is 4e; 所述的锥形转子(1)和锥形定子(2)从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ),截面型线半径与偏心距均以截面几何中心为基点呈线性锥形减小,满足R=αr,E=αe,α<1为截面缩放系数;The conical rotor (1) and the conical stator (2) from the inlet end face (I-I) to the outlet end face (III-III), the cross-sectional profile radius and eccentricity are both linear cones with the geometric center of the cross-section as the base point. The shape is reduced, and R=αr, E=αe, and α<1 is the section scaling factor; 所述的锥形转子(1)和锥形定子(2)之间做变运动规律的动点行星回转运动,各个截面上转子的公转和自转角速度相等,公转和自转半径从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ)依次线性减小,不同截面位置处,转子和定子之间均能够实现完全正确啮合,从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ)形成容积连续变化的封闭工作腔,所形成的封闭工作腔容积逐渐减小。Between the conical rotor (1) and the conical stator (2), the dynamic point planetary motion with variable motion law is performed, the revolution and rotation angular velocities of the rotor on each section are equal, and the revolution and rotation radii start from the inlet end face (I- Ⅰ) It decreases linearly from the end face of the outlet (Ⅲ-Ⅲ) in turn. At different cross-sectional positions, the rotor and the stator can achieve complete and correct meshing, and the volume is formed from the end face of the inlet (Ⅰ-Ⅰ) to the end face of the outlet (Ⅲ-Ⅲ). Continuously changing closed working cavity, the volume of the closed working cavity formed gradually decreases. 2.如权利要求1所述的一种锥形单螺杆气液混输泵的转子与定子,其特征是:从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ),锥形转子(1)的螺旋展开角τ1由0至3π连续变化:在入口端面(Ⅰ-Ⅰ)处,螺旋展开角τ1=0,在中间轴向截面(Ⅱ-Ⅱ)处,螺旋展开角τ1=1.5π,在出口端面(Ⅲ-Ⅲ)处,螺旋展开角τ1=3π,随着螺旋展开角τ1由0至3π,锥心转子(1)的齿形曲线方程为:2. The rotor and stator of a conical single-screw gas-liquid mixed pump according to claim 1, characterized in that: from the inlet end face (I-I) to the outlet end face (III-III), the conical rotor ( 1) The spiral expansion angle τ 1 varies continuously from 0 to 3π: at the inlet end face (I-I), the spiral expansion angle τ 1 =0, and at the middle axial section (II-II), the spiral expansion angle τ 1 =1.5π, at the outlet end face (III-III), the spiral expansion angle τ 1 =3π, as the spiral expansion angle τ 1 changes from 0 to 3π, the tooth profile curve equation of the conical rotor (1) is:
Figure FDA0002564059690000011
Figure FDA0002564059690000011
式中,P11)和H分别为锥形转子(1)的螺距和高度,τ0为角度参数,0≤τ0≤2π;where P 11 ) and H are the pitch and height of the conical rotor (1), respectively, τ 0 is the angle parameter, 0≤τ 0 ≤2π; 从入口端面(Ⅰ-Ⅰ)到出口端面(Ⅲ-Ⅲ),锥形定子(2)的螺旋展开角τ2由0至1.5π连续变化:在入口端面(Ⅰ-Ⅰ)处,螺旋展开角τ2=0,在中间轴向截面(Ⅱ-Ⅱ)处,螺旋展开角τ2=0.75π,在出口端面(Ⅲ-Ⅲ)处,螺旋展开角τ2=1.5π,随着螺旋展开角τ2由0至1.5π,锥形定子(2)圆弧段的齿形曲线方程为:From the inlet end face (I-I) to the outlet end face (III-III), the spiral expansion angle τ2 of the conical stator ( 2 ) changes continuously from 0 to 1.5π: at the inlet end surface (I-I), the spiral expansion angle τ 2 =0, at the middle axial section (II-II), the helical expansion angle τ 2 =0.75π, at the outlet end face (III-III), the helical expansion angle τ 2 =1.5π, with the helical expansion angle τ 2 is from 0 to 1.5π, the tooth curve equation of the circular arc segment of the tapered stator (2) is:
Figure FDA0002564059690000021
Figure FDA0002564059690000021
式中,τ3为角度参数,
Figure FDA0002564059690000022
P22)为锥形定子(2)的螺距,且满足P22)=2P11);
where τ 3 is the angle parameter,
Figure FDA0002564059690000022
P 22 ) is the pitch of the tapered stator (2), and satisfies P 22 )=2P 11 );
锥形定子(2)直线段的齿形曲线方程为:The tooth curve equation of the straight line segment of the tapered stator (2) is:
Figure FDA0002564059690000023
Figure FDA0002564059690000023
式中,τ4为角度参数,0≤τ4≤π。In the formula, τ 4 is an angle parameter, and 0≤τ 4 ≤π.
3.如权利要求1所述的一种锥形单螺杆气液混输泵的转子与定子,其特征是:锥形转子(1)的螺旋线L1由半径发生变化的发生圆O1逆时针螺旋展开生成,螺旋线L1的方程为:3. the rotor and the stator of a kind of conical single-screw gas-liquid mixing pump as claimed in claim 1, it is characterized in that: the helix L 1 of the conical rotor ( 1 ) is reversed by the generation circle O that the radius changes The hour-hand spiral expansion is generated, and the equation of the spiral line L 1 is:
Figure FDA0002564059690000024
Figure FDA0002564059690000024
锥形定子(2)的螺旋线L2由半径发生变化的发生圆O2逆时针螺旋展开生成,螺旋线L2的方程为:The spiral line L 2 of the conical stator (2) is generated by the counterclockwise spiral expansion of the occurrence circle O 2 whose radius changes. The equation of the spiral line L 2 is:
Figure FDA0002564059690000031
Figure FDA0002564059690000031
4.一种锥形单螺杆气液混输泵,其特征是:使用权利要求1中的锥形转子(1)和锥形定子(2)。4. A conical single-screw gas-liquid mixing pump, characterized in that: the conical rotor (1) and the conical stator (2) in claim 1 are used.
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Application publication date: 20200904