CN110685906B - Roots pump rotor and roots pump - Google Patents

Roots pump rotor and roots pump Download PDF

Info

Publication number
CN110685906B
CN110685906B CN201911061820.0A CN201911061820A CN110685906B CN 110685906 B CN110685906 B CN 110685906B CN 201911061820 A CN201911061820 A CN 201911061820A CN 110685906 B CN110685906 B CN 110685906B
Authority
CN
China
Prior art keywords
tooth
rotor
roots pump
section
pseudo
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active
Application number
CN201911061820.0A
Other languages
Chinese (zh)
Other versions
CN110685906A (en
Inventor
李丹童
何志龙
韦炜
林栋�
邢子文
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Xian Jiaotong University
Original Assignee
Xian Jiaotong University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Xian Jiaotong University filed Critical Xian Jiaotong University
Priority to CN201911061820.0A priority Critical patent/CN110685906B/en
Publication of CN110685906A publication Critical patent/CN110685906A/en
Application granted granted Critical
Publication of CN110685906B publication Critical patent/CN110685906B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • 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
    • 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
    • F04C18/084—Toothed wheels
    • 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
    • F04C2240/00—Components
    • F04C2240/20—Rotors
    • 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

Landscapes

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

Abstract

A Roots pump rotor and Roots pump, the basic forming curve section A of rotor profile1A2A3A4A5Consists of a tooth top arc section, a pseudo polynomial curve section, a conjugate curve section of the pseudo polynomial curve and a tooth root arc section which are sequentially connected end to end, wherein the pseudo polynomial curve is a pseudo polynomial curveSegment A2A3And the addendum arc section A1A2Tangency; substantially forming a curved section A1A2A3A4A5A section of curve A symmetrical thereto1A′2A′3A′4A′5Tooth profile line A 'combined into one tooth'5A′4A′3A′2A1A2A3A4A5The tooth profile line A5'A'4A3'A'2A1A2A3A4A5Repeatedly generating n tooth profiles according to the tooth number n of the rotor profile of the roots pump, and sequentially connecting the n tooth profiles end to generate a complete rotor profile; the two rotor profiles are identical and can be brought into engagement during rotation. The invention eliminates partial sharp points of the original molded line, expands the design parameter space of the molded line of the rotor of the roots pump and improves the performance of the roots pump.

Description

Roots pump rotor and roots pump
Technical Field
The invention belongs to the field of mechanical engineering, and particularly relates to a roots pump rotor and a roots pump.
Background
The Roots pump is a positive displacement rotary pump, can be used for obtaining dry and low-pollution high-vacuum environment and compressing clean gas, 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 and the like, and has the characteristics of no wearing parts such as an air valve, forced air suction and exhaust, simple processing and the like. Therefore, in recent years, it has become the first pump type in vacuum systems and some low pressure air compression systems.
The core components in the roots pump are two rotors, the structure of the rotors is determined by the selection of the rotor profiles, so that the overall operation performance of the pump is influenced, and the optimal design of the rotors is also a key technology for designing and manufacturing the high-performance roots pump.
However, the shape parameter variable space of the rotor profile of the conventional roots pump is insufficient, so that the profile shape which can be found by optimization is single, the rotor of the roots pump adopting the profile cannot be suitable for the current variable application occasions and variable application performance requirements, and the variable space of the shape parameter is increased, and the performance of the optimized roots pump can be effectively improved.
Disclosure of Invention
The invention aims to solve the problem of insufficient variable space of the shape parameters of the rotor profile of the roots pump in the prior art, and provides a roots pump rotor and a roots pump, which expand the design parameter space of the rotor profile of the roots pump, eliminate partial sharp points of the original profile, increase the diversity of the rotor shape of the roots pump, improve the volumetric efficiency, the energy-saving performance, the stress performance and the like of the roots pump.
In order to achieve the purpose, the invention has the following technical scheme:
a Roots pump rotor, the basic forming curve section A of rotor profile1A2A3A4A5From the addendum circle segment A1A2Pseudo polynomial curve segment A2A3Conjugate curve segment A of a pseudo-polynomial curve3A4And a tooth root arc segment A4A5Sequentially connected end to end, the pseudo-polynomial curve segment A2A3And the addendum arc section A1A2Tangency; substantially forming a curved section A1A2A3A4A5A section of curve A symmetrical thereto1A'2A'3A'4A'5Tooth profile line A 'combined into one tooth'5A'4A'3A'2A1A2A3A4A5The tooth pattern line A'5A'4A'3A'2A1A2A3A4A5Repeatedly generating n tooth profiles according to the tooth number n of the rotor profile of the roots pump, and sequentially connecting the n tooth profiles end to generate a complete rotor profile; the two rotor profiles are identical and can be brought into engagement during rotation.
The tooth top arc section A1A2Method ofThe process is as follows:
Figure GDA0002695164870000021
wherein the parameter α is a designable variable, r2Is the radius of the addendum arc segment.
The pseudo polynomial curve segment A2A3The polar equation of (a) is:
Figure GDA0002695164870000022
wherein the pseudo-polynomial degree m is a design variable, m can be any real number larger than 1, n is the number of teeth of the Roots pump rotor to be formed by the basic curve section, and the radius of the arc section of the tooth root is r1Radius of pitch circle
Figure GDA0002695164870000023
A conjugate curve segment A of the pseudo-polynomial curve segment3A4The parameter equation of (1) is as follows:
Figure GDA0002695164870000024
wherein the intermediate variable
Figure GDA0002695164870000025
Expressed as:
Figure GDA0002695164870000026
wherein the intermediate variable ρPAnd α and the intermediate variable γ of the preceding formula are represented as:
Figure GDA0002695164870000031
the tooth root circular arc section A4A5The parameter equation of (1) is as follows:
Figure GDA0002695164870000032
wherein the parameter α is a designable variable, r1Is the radius of the arc section of the tooth root.
The invention also provides a roots pump which is provided with the roots pump rotor.
Compared with the prior art, the invention has the following beneficial effects:
the design of the original rotor profile has less independent parameters, has closed volume and has a sharp point2A3Is changed into a circular arc section A1A2Tangent pseudo-polynomial curve A2A3Correspondingly, curve sections A engaging therewith3A4A5Conjugate curve segment A modified to pseudo polynomial curve3A4By changing the pseudo-polynomial curve segment A2A3Can change the curve segment A2A3And curve segment A3A4Changes the rotor profile shape. Plus the selected pseudo-polynomial curve A2A3And arc segment A1A2The tangency solves the problem of cusp, and eliminates the cycloid correction segment A in the original rotor profile4A5With the attendant problem of enclosed volume. The invention improves the volumetric efficiency, energy-saving performance, stress performance and the like of the roots pump. Compared with other conventional pump types, the pump has the advantages of few easily-damaged parts, compact structure, high air suction rate, no surge, low vibration noise and the like.
Drawings
FIG. 1 is a schematic view of an original Roots pump rotor profile;
FIG. 2 is a schematic view of a rotor profile according to the present invention;
FIG. 3 is a schematic view of rotor profile meshing according to the present invention;
FIG. 4 is a schematic view of a 3-tooth rotor profile of the present invention.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings.
Referring to fig. 1, in the original roots pump profile, the profile a on the left side of the rotor1A'2A'3A'4A'5A'6With the right side profile A1A2A3A4A5A6The lower side molded line and the upper side molded line are symmetrical up and down, so that the rotor molded line is formed by a curve section A1A2A3A4A5A6Determined exclusively by the curve segment A1A2Involute section A2A3Involute section A3A4Outer cycloid segment A4A5And a circular arc segment A5A6Is composed of (a) wherein
Figure GDA0002695164870000041
As can be seen from the figure, the profile of this type is given by the parameter r1，r2With a unique decision, there are fewer independent parameters. And due to the sharp point A2So as to fade away the line segment A2A3A4Need to use the outer cycloid segment A2A3A correction is made which causes a closed volume in the rotor space, which affects the pump performance. Furthermore, such a profile presents a sharp point a5Leading to a greater stress concentration problem of the rotor during operation. The invention improves the original Roots pump profile.
In order to solve the problems of less independent parameters, closed volume and sharp point existing in the design of the original rotor profile, as shown in fig. 2, the involute section A of the original rotor profile is adopted in the invention2A3Is changed into a circular arc section A1A2Tangent pseudo-polynomial curve A2A3Correspondingly, curve sections A engaging therewith3A4A5Conjugate curve segment A modified to pseudo polynomial curve3A4By changing the pseudo-polynomial curve segment A2A3Can change the curve segment A2A3And curve segment A3A4Changes the rotor profile shape.
Plus the selected pseudo-polynomial curve A2A3And arc segment A1A2Tangent, thereby solving the problem of cusp and eliminating the cycloid correction segment A in the original rotor profile4A5With the attendant problem of enclosed volume.
The basic forming curve section A of the rotor profile of the roots pump1A2A3A4A5The tooth crest arc section, the pseudo polynomial curve section, the conjugate curve section of the pseudo polynomial curve and the tooth root arc section are sequentially connected end to form the tooth crest arc section, the pseudo polynomial curve section, the conjugate curve section of the pseudo polynomial curve and the tooth root arc section.
The rotor profile of the roots pump of the invention can realize correct meshing in the rotating and meshing process, as shown in figure 3.
The radius of the addendum arc section of the rotor profile is r2The radius of the arc section of the tooth root is r1Radius of pitch circle rpComprises the following steps:
Figure GDA0002695164870000042
addendum arc segment A of rotor profile1A2The parameter equation of (1) is as follows:
Figure GDA0002695164870000051
where the parameter a is a designable variable.
Pseudo polynomial curve segment A of rotor profile2A3The polar equation of (a) is:
Figure GDA0002695164870000052
the pseudo polynomial degree m is a design variable, m can be any real number more than or equal to 1, in particular, when m is 1, the original conventional profile shown in fig. 1 is obtained, and n is the number of teeth of the roots pump rotor to be formed by the basic curve forming section.
Conjugate curve segment A of pseudo polynomial curve segment3A4The parameter equation of (1) is as follows:
Figure GDA0002695164870000053
wherein the intermediate variable
Figure GDA0002695164870000054
Expressed as:
Figure GDA0002695164870000055
wherein the intermediate variable ρPAnd α and the intermediate variable γ of the preceding formula are represented as:
Figure GDA0002695164870000056
root arc segment A of rotor molded line4A5The parameter equation of (1) is as follows:
Figure GDA0002695164870000061
the curve sections which are basically formed by the rotor profile can be sequentially shown in an end-to-end connection mode according to the curve sections which are obtained by the parameter equation.
The rotor profile of the Roots pump is a symmetrical curve segment A which forms the curve basically1A'2A'3A'4A'5Form a curve A with the base1A2A3A4A5The combination is a curve segment A'5A'4A'3A'2A1A2A3A4A5So as to form a tooth profile, and the tooth profile is repeatedly generated into n tooth profiles according to the tooth number n of the rotor profile of the roots pump and is sequentially generated in an end-to-end connection mode, wherein typical double-tooth profiles and three-tooth profiles are respectively shown in the figure2. 4, the profile is formed by the radius r of the tooth crest arc segment2Radius r of arc section of tooth root1Addendum circle arc segment A1A2The central rotation angle alpha, the polynomial degree m of the pseudo polynomial curve segment and the tooth number n of the rotor of the roots pump are uniquely determined.
The design process in the specific application of the invention is as follows:
1. the radius r of the addendum arc section is optimized according to the volume and the pumping speed2Radius r of circular arc end of tooth root1；
2. The tooth crest width parameter alpha, the polynomial times m of a pseudo polynomial curve segment and the tooth number n of a Roots rotor molded line are preferably selected according to the requirements of gas tightness, stress performance and pumping rate;
3. by
Figure GDA0002695164870000062
The pitch circle radius is determined.
The Roots pump rotor designed by the invention can eliminate the sharp point A by adopting the profile2The design parameter space of the rotor profile is increased, and therefore the volume efficiency, the energy-saving performance, the stress performance and the like of the optimized roots pump are improved. Compared with other conventional pump types, the pump has the advantages of few easily-damaged parts, compact structure, high air suction rate, no surge, low vibration noise and the like.
The above description is only a preferred embodiment of the present invention, and is not intended to limit the technical solution of the present invention, and it should be understood by those skilled in the art that the technical solution can be modified and replaced by a plurality of simple modifications and replacements without departing from the spirit and principle of the present invention, and the modifications and replacements also fall within the protection scope defined by the claims.

Claims (2)

1. A rotor of a Roots pump, comprising: the rotor profile essentially forming a curved section A1A2A3A4A5From the addendum circle segment A1A2Pseudo polynomial curve segment A2A3Conjugate curve segment A of a pseudo-polynomial curve3A4And a tooth root arc segmentA4A5Sequentially connected end to end, the pseudo-polynomial curve segment A2A3And the addendum arc section A1A2Tangency; substantially forming a curved section A1A2A3A4A5A section of curve A symmetrical thereto1A′2A′3A′4A′5Tooth profile line A 'combined into one tooth'5A′4A′3A′2A1A2A3A4A5The tooth pattern line A'5A′4A′3A′2A1A2A3A4A5Repeatedly generating n tooth profiles according to the tooth number n of the rotor profile of the roots pump, and sequentially connecting the n tooth profiles end to generate a complete rotor profile; the two rotor profiles are the same and can be meshed in the rotating process;
tooth top arc segment A1A2The parameter equation of (1) is as follows:
Figure FDA0002695164860000011
wherein the parameter α is a designable variable, r2The radius of the addendum arc section;
pseudo polynomial curve segment A2A3The polar equation of (a) is:
Figure FDA0002695164860000012
wherein the pseudo-polynomial degree m is a design variable, m can be any real number larger than 1, n is the number of teeth of the Roots pump rotor to be formed by the basic curve section, and the radius of the arc section of the tooth root is r1Radius of pitch circle
Figure FDA0002695164860000013
Conjugate curve segment A of pseudo polynomial curve segment3A4The parameter equation of (1) is as follows:
Figure FDA0002695164860000014
wherein the intermediate variable
Figure FDA0002695164860000015
Expressed as:
Figure FDA0002695164860000016
wherein the intermediate variable ρPAnd α and the intermediate variable γ of the preceding formula are represented as:
Figure FDA0002695164860000021
tooth root arc section A4A5The parameter equation of (1) is as follows:
Figure FDA0002695164860000022
wherein the parameter α is a designable variable, r1Is the radius of the arc section of the tooth root.
2. A roots pump, its characterized in that: having a roots pump rotor as claimed in claim 1.
CN201911061820.0A 2019-11-01 2019-11-01 Roots pump rotor and roots pump Active CN110685906B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201911061820.0A CN110685906B (en) 2019-11-01 2019-11-01 Roots pump rotor and roots pump

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201911061820.0A CN110685906B (en) 2019-11-01 2019-11-01 Roots pump rotor and roots pump

Publications (2)

Publication Number Publication Date
CN110685906A CN110685906A (en) 2020-01-14
CN110685906B true CN110685906B (en) 2020-11-17

Family

ID=69115350

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201911061820.0A Active CN110685906B (en) 2019-11-01 2019-11-01 Roots pump rotor and roots pump

Country Status (1)

Country Link
CN (1) CN110685906B (en)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115076103B (en) * 2022-06-24 2023-10-20 宁波爱发科机械制造有限公司 Roots rotor

Family Cites Families (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
IT1155626B (en) * 1982-02-23 1987-01-28 Fiat Auto Spa ROOTS TYPE ROTARY VOLUMETRIC COMPRESSOR
TW201142148A (en) * 2010-05-24 2011-12-01 Univ Nat Kaohsiung Applied Sci Roots type rotors with compound profile
CN203189267U (en) * 2013-04-17 2013-09-11 大连交通大学 Conjugated internal-external cycloid involute-type rotor of roots vacuum pump
CN106762654B (en) * 2016-12-31 2019-12-27 浙江创为真空设备股份有限公司 Two-vane rotor assembly of roots vacuum pump
KR102019607B1 (en) * 2018-11-02 2019-09-06 김정호 Spiral impeller apparatus for spurt pump

Also Published As

Publication number Publication date
CN110685906A (en) 2020-01-14

Similar Documents

Publication Publication Date Title
CN108930650B (en) Double-end claw type pump rotor and molded lines thereof
CN110762011B (en) Claw type pump rotor and claw type pump
CN105240277B (en) Fully-smooth screw rotor of twin-screw vacuum pump
CN110762004B (en) Asymmetric elliptic twisted-blade roots rotor, compressor and expander
CN203189267U (en) Conjugated internal-external cycloid involute-type rotor of roots vacuum pump
CN205388015U (en) Twin screw vacuum pump's complete glossy screw rotor and vacuum pump thereof
CN112555154B (en) Full-smooth self-meshing dry screw vacuum pump and rotor thereof
CN107084131A (en) A kind of complete smooth screw rotor based on eccentric circle involute
CN110645172B (en) Screw vacuum pump rotor and screw vacuum pump
CN107023480B (en) A kind of complete smooth twin-screw liquid pump screw rotor
CN110685906B (en) Roots pump rotor and roots pump
CN108678954B (en) Curved claw rotor of claw type vacuum pump and molded line design method thereof
CN113757121B (en) Space internal meshing conical double-screw compressor rotor driven by intersecting shafts and compressor
CN108757438B (en) Full-smooth screw rotor with small enclosed volume and design method thereof
CN106948863B (en) Full-smooth asymmetric double-claw rotor
CN110685909B (en) Double-screw rotor, compressor and expander
CN111779674B (en) Rotor molded line of multi-lobe Roots pump
CN216407159U (en) Large three-section variable-pitch screw profile line structure
CN108757439B (en) Double-head full-smooth screw rotor of double-screw liquid pump and design method thereof
CN202187926U (en) Composite line rotor of three-blade roots blower
CN110685908B (en) Double-screw rotor, expander and compressor
CN206439185U (en) Lobe pump
CN204003470U (en) A kind of novel three leaf Roots air blower rotors
CN106930942B (en) Rotor of helical lobe compressor
CN113530819B (en) Variable-line double-screw rotor structure

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant