CN111927778A - Roots rotor and profile design method thereof - Google Patents

Roots rotor and profile design method thereof Download PDF

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Publication number
CN111927778A
CN111927778A CN202010144897.0A CN202010144897A CN111927778A CN 111927778 A CN111927778 A CN 111927778A CN 202010144897 A CN202010144897 A CN 202010144897A CN 111927778 A CN111927778 A CN 111927778A
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CN
China
Prior art keywords
point
line
circle
roots rotor
tooth
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Pending
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CN202010144897.0A
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Chinese (zh)
Inventor
李丹童
何志龙
王国梁
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Zhongke Jiuwei Technology Co ltd
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Zhongke Jiuwei Technology Co ltd
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Publication of CN111927778A publication Critical patent/CN111927778A/en
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    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C18/00—Rotary-piston pumps specially adapted for elastic fluids
    • F04C18/08—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing
    • F04C18/082—Details specially related to intermeshing engagement type pumps
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C18/00—Rotary-piston pumps specially adapted for elastic fluids
    • F04C18/08—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing
    • F04C18/12—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type
    • F04C18/126—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type with radially from the rotor body extending elements, not necessarily co-operating with corresponding recesses in the other rotor, e.g. lobes, Roots type
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C29/00—Component parts, details or accessories of pumps or pumping installations, not provided for in groups F04C18/00 - F04C28/00
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C2250/00—Geometry
    • F04C2250/20—Geometry of the rotor

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Applications Or Details Of Rotary Compressors (AREA)
  • Rotary Pumps (AREA)

Abstract

The invention provides a Roots rotor and a profile design method thereof, belonging to the technical field of Roots compressors, wherein the Roots rotor is provided with at least two teeth with centrosymmetry, and the profile of the end face of each tooth is formed by connecting at least part of multiple sections of straight lines; according to the Roots rotor, the end face molded line of the teeth is a straight line, and the machining plane formed by the straight line can be formed only by once milling, so that the machining efficiency of the rotor is greatly improved.

Description

Roots rotor and profile design method thereof
Technical Field
The invention relates to the technical field of Roots compressors, in particular to a Roots rotor and a profile design method thereof.
Background
The Roots compressor is a positive displacement rotary pressurizing machine, is widely applied to the compression and transportation process of various fluids, and has wide application in modern industry. The rotary machine has the advantages of long service life, reliable operation, small vibration, low noise, stable work, no surge phenomenon and the like, and has the characteristics of high energy efficiency, no wearing parts such as an air valve and the like, forced air suction and exhaust, simple processing and the like.
The core components of the Roots compressor are two rotors, and the selection of the rotor profile determines the structure of the rotors, so that the overall operation performance of the pump is influenced. The rotor machining of the Roots compressor is also a core time-consuming process for manufacturing the complete machine.
At present, the rotor molded lines of the Roots compressor are mostly smooth curves, so that the rotors are processed in a linear cutting or finish milling/grinding mode, and the processing efficiency of the Roots compressor rotors is greatly limited.
Disclosure of Invention
Therefore, the technical problem to be solved by the invention is to overcome the defect of low processing efficiency of the roots rotor in the prior art, so that the roots rotor and the profile design method thereof are provided.
In order to solve the technical problem, the invention provides a roots rotor which is provided with at least two teeth with central symmetry, and the end face molded line of each tooth is at least partially formed by connecting a plurality of sections of straight lines.
Preferably, the end face molded line of each tooth is formed by straight line connection.
Preferably, the profile of the face of each tooth is divided into two axisymmetric portions, the starting point of each portion being a away from the center1Point, end point being A near the center3Point; each part is divided into at least two sections, and the lengths of straight lines formed by the sections are different.
Preferably, A in the profile line of the tooth face1Point to A3The line segments between the points include:
first contour line of A1Point as starting point, with A2Point is an end point；
Second contour line of A2Point as starting point, with A3Taking the point as an end point;
the connecting point between the first contour line and the second contour line is A2Point, said A2The point is the intersection point of the segmentation straight line and the end face molded line of the tooth;
the dividing straight line is a straight line with an included angle beta with a symmetrical axis of the end face molded line of the tooth, and the dividing straight line and the central point O of the Roots rotor1Intersecting; the value range of the beta is 45 degrees +/-15 degrees.
Preferably, said β is equal to 45 °.
Preferably, the length of each segment of the straight line of the first contour line is a, the length of each segment of the straight line of the second contour line is b, and a > b.
Preferably, in the first contour line, the connection point a is connected to2The length of the connected straight lines is a ', a' is less than or equal to a.
Preferably, the second contour line is connected to the connection point A2The length of the connected straight lines is b ', b' is less than or equal to b.
The invention also provides a design method of the molded line of the Roots rotor, which is characterized in that the molded line of the end face of each tooth is designed to be formed by linear connection on the basis of the end face molded line of the conventional Roots rotor; the method comprises the following steps:
making a dividing line from the central point O of the Roots rotor1Initially, an extension straight line is made towards a direction forming an included angle beta with a symmetrical axis of one tooth of the Roots rotor, the value range of beta is 45 degrees +/-15 degrees, and the segmentation straight line intersects with an outer contour line of an end face molded line of the tooth at A2Point; the end point of a section of the tooth far from the center is set as A1Point, the end point of a section of the tooth near the center is set as A3Point, let A1Point to A2The outer contour line between the points is a first contour line, and A is set2Point to A3The outer contour lines between the points are second contour lines;
dividing the first contour line by A1As the center of the circle, a is a circle with radius,the intersection point of the circle and the end face profile of the conventional Roots rotor is marked as point a1Then, with point a1Taking a circle as the center of a circle, and marking the intersection point of a circle with a radius and the end face molded line of the conventional Roots rotor as a point a2(ii) a In turn at the arc section A1A2Go on and get the point to anUp to anTo A2A is less than or equal to a, are respectively connected with A by straight lines1、a1、a2…an、A2；
Dividing the second contour by A3B is a circle with the radius as the center of the circle, and the intersection point of the circle and the end face molded line of the prior Roots rotor is marked as a point b1Then, at point b1B is the point b at which the radius of the circle with the center of the circle intersects with the end face molded line of the conventional Roots rotor2(ii) a In turn at the arc section A3A2Up to point bnUp to bnTo A2B is less than or equal to b, are respectively connected with A by straight lines3、b1、b2…bn、A2。
Preferably, the method further comprises the following steps:
making a dividing circle with the central point O of the Roots rotor1As the center of a circle, from the center of the circle to A2The distance between the points is a radius, a dividing circle is drawn, the dividing circle is intersected with the outer contour line of the end face molded line of each tooth of the Roots rotor, and the intersection point of the dividing circle and the tooth of the Roots rotor is a separation point A2。
The technical scheme of the invention has the following advantages:
1. according to the Roots rotor provided by the invention, the end face molded line of the tooth is a straight line, and the machining plane formed by the straight line can be formed only by once milling, so that the machining efficiency of the rotor is greatly enhanced.
2. According to the Roots rotor profile design method provided by the invention, equidistant point taking solving is carried out on the existing Roots rotor end surface profile, and the points are connected in a linear mode, so that the planarization of the rotor surface is realized, each processing plane can be formed by only once milling, and the processing efficiency of the rotor is greatly enhanced.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and other drawings can be obtained by those skilled in the art without creative efforts.
FIG. 1 is a front view of a root rotor end face profile of the present invention.
FIG. 2 is a front view of a prior art face profile of a Roots rotor.
FIG. 3 is a schematic diagram of a design process for a root rotor end face profile of the present invention.
FIG. 4 is a perspective view of the Roots rotor of the present invention.
FIG. 5 is a front view of two end face profiles of the present invention as two Roots rotors are intermeshed.
Description of reference numerals:
1. a Roots rotor; 2. a long axis of symmetry; 3. a short axis of symmetry; 4. dividing straight lines; 5. and (6) cutting a circle.
Detailed Description
The technical solutions of the present invention will be described clearly and completely with reference to the accompanying drawings, and it should be understood that the described embodiments are some, but not all embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
In the description of the present invention, it should be noted that the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc., indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings, and are only for convenience of description and simplicity of description, but do not indicate or imply that the device or element being referred to must have a particular orientation, be constructed and operated in a particular orientation, and thus, should not be construed as limiting the present invention. Furthermore, the terms "first," "second," and "third" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance.
In the description of the present invention, it should be noted that, unless otherwise explicitly specified or limited, the terms "mounted," "connected," and "connected" are to be construed broadly, e.g., as meaning either a fixed connection, a removable connection, or an integral connection; can be mechanically or electrically connected; they may be connected directly or indirectly through intervening media, or they may be interconnected between two elements. The specific meanings of the above terms in the present invention can be understood in specific cases to those skilled in the art.
In addition, the technical features involved in the different embodiments of the present invention described below may be combined with each other as long as they do not conflict with each other.
Example 1
The embodiment provides a Roots rotor which is provided with two teeth with central symmetry, and the end face molded line of each tooth is formed by straight line connection. The planarization of the surface of the rotor is realized, so that each processing plane can be formed only by once milling, and the processing efficiency of the rotor is greatly enhanced.
As shown in fig. 1, the roots rotor 1 according to the present embodiment includes: the long symmetry axis 2 and the short symmetry axis 3 are respectively provided with two axisymmetric teeth at two sides of the end symmetry axis, each tooth comprises two symmetrical parts along the long symmetry axis 2, and the starting point of each part is A far away from the center1Point, end point being A near the center3And (4) point.
With one separation point a on each part of the tooth2Point of, the A2Point and point A1The line segment between the points is the first contour line, A2Point and point A3The line segments between the points are second contour lines. The first contour line and the second contour line are formed by connecting a plurality of straight lines, and the lengths of the straight lines forming the first contour line are not equal to those of the straight lines forming the second contour line.
The length of each straight line constituting the first contour line is a, the length of each straight line constituting the second contour line is b, and the length of a > the length of b.
Since on the first contour line, it may not be equally long divided by the straight line a, first from A1The points start to face A in turn2Taking a point, and taking the last point when the point is taken and A2When the distance a' between the two points is less than or equal to a, the point taking work is finished; then connect A in turn1、a1、a2…an、A2The first contour of the present embodiment is completed.
Similarly, since on the second contour line, it may not be equally divided by the straight line b, first from A3The points start to face A in turn2Taking a point, and taking the last point when the point is taken and A2When the distance b' between the two points is less than or equal to b, the point taking work is finished; then connect A in turn3、b1、b2…bn、A2The second contour of the present embodiment is completed.
As shown in FIG. 2, A of the present embodiment2The point is the intersection of a straight dividing line 4 and the outer contour line of the teeth, the straight dividing line 4 being from the center point O of the rotor1An extension straight line which is made towards the direction forming an included angle beta with the long symmetrical axis 2 of the Roots rotor; in this embodiment, an included angle β between the extension line and the long symmetry axis 2 is 45 °, and β may also take any other value in a range of 45 ° ± 15 °.
Example 2
The present embodiment provides a profile design method for a roots rotor, which is designed to connect end face profiles of each tooth linearly on the basis of end face profiles of a conventional roots rotor 1.
As shown in fig. 3, the method comprises the following steps:
first, a dividing line 4 is formed on the basis of the end face profile of the conventional roots rotor 1, and the dividing line is drawn from the center point O of the roots rotor 11Initially, a straight line is extended in a direction at an angle β to the axis of symmetry of one tooth of the roots rotor. The value range of beta is 45 degrees +/-15 degrees, and the method is adopted in the embodimentAt 45 DEG, the straight dividing line 4 intersects with the outer contour line of the end face profile line of the tooth at A2Point; the end point of a section of the tooth far from the center is set as A1Point, the end point of a section of the tooth near the center is set as A3Point, let A1Point to A2The outer contour line between the points is a first contour line, and A is set2Point to A3The outer contour lines between the points are second contour lines;
then, the first contour line is divided by A1A is a circle with the radius as the center of the circle, and the intersection point of the circle and the end face molded line of the prior Roots rotor is marked as a point a1Then, with point a1Taking a circle as the center of a circle, and marking the intersection point of a circle with a radius and the end face molded line of the conventional Roots rotor as a point a2(ii) a In turn at the arc section A1A2Go on and get the point to anUp to anTo A2A is less than or equal to a, are respectively connected with A by straight lines1、a1、a2…an、A2。
Finally, the second contour is divided by A3B is a circle with the radius as the center of the circle, and the intersection point of the circle and the end face molded line of the prior Roots rotor is marked as a point b1Then, at point b1B is the point b at which the radius of the circle with the center of the circle intersects with the end face molded line of the conventional Roots rotor2(ii) a In turn at the arc section A3A2Up to point bnUp to bnTo A2B is less than or equal to b, are respectively connected with A by straight lines3、b1、b2…bn、A2。
At this time, the half of the outer contour line of one tooth of the roots rotor is redesigned, and the remaining outer contour lines are axisymmetric to the first contour line and the second contour line, and thus, can be arranged in order by the above-described method.
In addition, as an alternative embodiment, the division point A of the other teeth is determined2At the time, the following method can be adopted:
namely: making a dividing circle 5 with the central point O of the Roots rotor1As the center of a circle, from the center of the circle to the first determined A2The distance between points is plotted as radiusA cutting circle 5, the cutting circle 5 intersects with the outer contour line of the end face molded line of each tooth of the Roots rotor, and the intersection point of the cutting circle and other teeth of the Roots rotor is the separation point A on the outer contour of the tooth2. Therefore, the separation points are not required to be selected in sequence, and the design efficiency can be improved.
As shown in fig. 4, the roots rotor is finally formed in a perspective view.
When the Roots type rotor works, the two Roots rotors are meshed with each other and rotate; as shown in FIG. 5, during the intermeshing of two Roots rotors, the Roots rotor profile may be properly engaged at a selected point.
It should be understood that the above examples are only for clarity of illustration and are not intended to limit the embodiments. Other variations and modifications will be apparent to persons skilled in the art in light of the above description. And are neither required nor exhaustive of all embodiments. And obvious variations or modifications therefrom are intended to be within the scope of the invention.

Claims (10)

1. A roots rotor having at least two teeth with central symmetry, characterised in that: the molded line of the end face of each tooth is formed by connecting at least a part of a plurality of sections of straight lines.
2. A roots rotor according to claim 1, characterised in that the profile of the face of each tooth is formed by a straight line connection.
3. A roots rotor according to claim 2, wherein the profile of the face of each tooth is in two axially symmetric parts, each part originating at a remote, off-centre, a1Point, end point being A near the center3Point; each part is divided into at least two sections, and the lengths of straight lines formed by the sections are different.
4. A roots rotor according to claim 3, characterised in that a in the face profile of the tooth1Point to A3The line segments between the points include:
first contour line of A1Point as starting point, with A2Taking the point as an end point;
second contour line of A2Point as starting point, with A3Taking the point as an end point;
the connecting point between the first contour line and the second contour line is A2Point, said A2The point is the intersection point of a dividing straight line (4) and the end face molded line of the tooth;
the dividing straight line (4) is a straight line with an included angle beta with a symmetrical axis of the end face molded line of the tooth, and the dividing straight line (4) and the central point O of the Roots rotor1Intersecting; the value range of the beta is 45 degrees +/-15 degrees.
5. The roots rotor of claim 4, wherein β is equal to 45 °.
6. A Roots rotor as claimed in claim 4, in which the length of the segments of the first profile line is a, the length of the segments of the second profile line is b, and a > b.
7. The Roots rotor as set forth in claim 6, wherein the first contour line connects with the connection point A2The length of the connected straight lines is a ', a' is less than or equal to a.
8. A Roots rotor according to claim 6 or 7, wherein the second profile line connects to the junction A2The length of the connected straight lines is b ', b' is less than or equal to b.
9. A Roots rotor profile design method is characterized in that on the basis of the existing Roots rotor end face profile, the end face profile of each tooth is designed to be formed by straight line connection; the method comprises the following steps:
making a dividing straight line (4) from the central point O of the Roots rotor1Start, direction and compassThe direction of a beta included angle formed by the symmetrical axis of one tooth of the rotor is taken as an extension straight line, the value range of beta is 45 degrees +/-15 degrees, and the segmentation straight line (4) is intersected with the outer contour line of the end face molded line of the tooth at A2Point; the end point of a section of the tooth far from the center is set as A1Point, the end point of a section of the tooth near the center is set as A3Point, let A1Point to A2The outer contour line between the points is a first contour line, and A is set2Point to A3The outer contour lines between the points are second contour lines;
dividing the first contour line by A1A is a circle with the radius as the center of the circle, and the intersection point of the circle and the end face molded line of the prior Roots rotor is marked as a point a1Then, with point a1Taking a circle as the center of a circle, and marking the intersection point of a circle with a radius and the end face molded line of the conventional Roots rotor as a point a2(ii) a In turn at the arc section A1A2Go on and get the point to anUp to anTo A2A is less than or equal to a, are respectively connected with A by straight lines1、a1、a2…an、A2；
Dividing the second contour by A3B is a circle with the radius as the center of the circle, and the intersection point of the circle and the end face molded line of the prior Roots rotor is marked as a point b1Then, at point b1B is the point b at which the radius of the circle with the center of the circle intersects with the end face molded line of the conventional Roots rotor2(ii) a In turn at the arc section A3A2Up to point bnUp to bnTo A2B is less than or equal to b, are respectively connected with A by straight lines3、b1、b2…bn、A2。
10. The roots rotor profile design method as claimed in claim 9, further comprising the steps of:
making a dividing circle (5) with the central point O of the Roots rotor1As the center of a circle, from the center of the circle to A2The distance between the points is a radius, a dividing circle (5) is drawn, the dividing circle (5) is intersected with the outer contour line of the end face molded line of each tooth of the Roots rotor, and the intersection of the dividing circle and the teeth of the Roots rotorThe point is a separation point A2。
CN202010144897.0A 2019-12-31 2020-03-04 Roots rotor and profile design method thereof Pending CN111927778A (en)

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CN201911414770 2019-12-31
CN201911414770X 2019-12-31

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Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1100780A (en) * 1993-09-25 1995-03-29 周必忠 Roots pump rotor
CN2194424Y (en) * 1994-05-09 1995-04-12 周必忠 Rotator for liquid conveying pump
CN2489116Y (en) * 2001-08-03 2002-05-01 成都发动机（集团）有限公司 Roots blower with double circular arc impeller
CN108799111A (en) * 2018-01-09 2018-11-13 中国石油大学(华东) A kind of asymmetry roots rotor
CN109578080A (en) * 2019-02-14 2019-04-05 河北工业大学 A kind of three leaves torsion leaf roots-type power machine electric generating apparatus
CN212003589U (en) * 2019-12-31 2020-11-24 中科九微科技有限公司 Roots rotor

Patent Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1100780A (en) * 1993-09-25 1995-03-29 周必忠 Roots pump rotor
CN2194424Y (en) * 1994-05-09 1995-04-12 周必忠 Rotator for liquid conveying pump
CN2489116Y (en) * 2001-08-03 2002-05-01 成都发动机（集团）有限公司 Roots blower with double circular arc impeller
CN108799111A (en) * 2018-01-09 2018-11-13 中国石油大学(华东) A kind of asymmetry roots rotor
CN109578080A (en) * 2019-02-14 2019-04-05 河北工业大学 A kind of three leaves torsion leaf roots-type power machine electric generating apparatus
CN212003589U (en) * 2019-12-31 2020-11-24 中科九微科技有限公司 Roots rotor

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
侯东海, 刘忠明, 吴序堂, 吕泮功, 李福勇: "直线-共轭线型三叶罗茨鼓风机转子啮合分析", 机械传动, no. 03 *
吴晓等: "数控刨床编程中‘刀具半径补偿’计算的研究", 组合机床与自动化加工技术, no. 12, pages 68 - 72 *
李玉龙等: "泵用转子型线的摆线构造方法研究", 真空科学与技术学报, vol. 38, no. 12, pages 1025 - 1028 *

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Address before: Zhongke Jiuwei Technology Co., Ltd., No. 299, Section 4, Yinghua North Road, Shunqing District, Nanchong City, Sichuan Province, 637000

Applicant before: Zhongke Jiuwei Technology Co.,Ltd.

Country or region before: China