CN112922835A - Double-symmetry graphical method for Roots rotor contour fitting structure - Google Patents
Double-symmetry graphical method for Roots rotor contour fitting structure Download PDFInfo
- Publication number
- CN112922835A CN112922835A CN202110096096.6A CN202110096096A CN112922835A CN 112922835 A CN112922835 A CN 112922835A CN 202110096096 A CN202110096096 A CN 202110096096A CN 112922835 A CN112922835 A CN 112922835A
- Authority
- CN
- China
- Prior art keywords
- section
- conjugate
- points
- transition
- fitting
- 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.)
- Pending
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
-
- 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)
- Applications Or Details Of Rotary Compressors (AREA)
Abstract
The invention discloses a double-symmetry graphical method of a Roots rotor contour fitting structure, wherein a half-lobe theoretical contour of a Roots rotor is formed by connecting six parts of an outer concentric circular arc section, an outer transition section, an outer conjugate section, an inner transition section and an inner concentric circular arc section end to end, a double-symmetry conjugate relation is formed between the outer conjugate section and the inner conjugate section, a double-symmetry transition relation is formed between the outer transition section and an inner starting point, and a double-symmetry transition relation is formed between the inner transition section and a peak point. The double-symmetrical graphic method is based on the conjugation and avoidance principle of each sub-profile section in rotation, double-symmetrical conjugate relations of a plurality of points on the section, double-symmetrical transition relations of inner starting points and double-symmetrical transition relations of peak points are determined through conjugation, a high-precision fitting curve of the to-be-determined sub-profile section is directly drawn, the method is convenient, fast and efficient, and easy to directly adopt by general engineering technicians, meanwhile, full-profile conjugation participates in reduction of conjugate leakage, and the volumetric efficiency of a pump/fan is effectively improved.
Description
Technical Field
The invention belongs to the technical field of Roots rotor pumps/fans, and particularly relates to a double-symmetry graphical method for a Roots rotor contour fitting structure.
Background
The Roots rotor pump/blower is a volumetric pump which utilizes the inlet vacuum suction force generated in the non-contact rotation process of two identical Roots rotors to convey gas media to an outlet, and the rotation power is provided by another pair of coaxial gear pairs, so that the Roots rotor pump/blower is originally used for Roots vacuum pumps and is widely applied. Since the rotor profile is the boundary base for forming a plurality of volume units in the pump, it is also the key to directly determine the performance indexes of the pump/fan, such as light weight, volume utilization, flow pulsation, internal leakage, and the like.
The half-lobe theoretical profile of the Roots rotor consists of six parts, namely an outer concentric circular arc section, an outer transition section, an outer conjugate section, an inner transition section and an inner concentric circular arc section, which are connected end to end, and corresponding end points and connection points sequentially comprise a peak point, an outer (conjugate) starting point, a middle node, an inner (conjugate) starting point, a root point and a valley point, which are positioned on a (leaf) valley (symmetric) axis, which are positioned on a (leaf) top (symmetric) axis.
The intersection point of the top shaft and the valley shaft is a rotor center, the bisection shaft of the included angle between the top shaft and the valley shaft is a central shaft, and the top shaft, the central shaft, the valley shaft and the rotor center are plane shaft systems for determining half impeller profiles, are called profile shaft systems for short and are uniquely determined by the number of rotor blades;
the intersection point of the top shaft and the pitch circle is a top node, the intersection point of the valley shaft and the pitch circle is a valley node, wherein the connection line of the outer starting point of the top node is vertical to the outer conjugate section, the connection line of the inner starting point of the valley node is vertical to the inner conjugate section, and the connection length of the outer starting point of the top node is equal to that of the inner starting point of the valley node.
The intersection point of a straight line segment which passes through the center of the rotor and is parallel to the connecting line of the central axis symmetry point and the peak point of the inner starting point and a pitch circle is a peak node, any point on the pitch circle between the top nodes of the middle node is an outer conjugate dynamic node, the foot of the point on the outer conjugate section is an outer conjugate dynamic contour point, any point on the pitch circle between the peak nodes of the top nodes is an outer transition dynamic node, and the foot of the point on the outer transition section is an outer transition dynamic contour point; the pitch circle tangents at the outer conjugate movable node and the outer transition movable node are respectively an outer conjugate movable tangent and an outer transition movable tangent; the axial symmetry points of the outer conjugate dynamic node and the outer conjugate dynamic contour point are an inner conjugate dynamic node and an inner conjugate dynamic contour point respectively.
The pitch circle and the pitch circle radius are known values designed in the early stage or drawn by physical measurement, namely the position of the pitch circle in the contour shafting is determined;
the outer concentric arc section and the inner concentric arc section are two sections of arc curves which have the same circle center with the contour of the inner cavity of the pump shell and have the same center of the rotor center, are equal in central angle and are mutually conjugated; the central angle is a known value designed in the early stage of top sealing for controlling radial leakage or drawn by physical measurement; the radius of the outer concentric circular arc section is a known value designed in the early stage or drawn by physical measurement; the radius of the inner concentric circular arc segment is equal to the radius of the 2-fold pitch circle minus the radius of the outer concentric circular arc segment, namely the positions of the two concentric circular arc segments in the contour shafting are also determined.
In the aspect of the profile construction of the rotor for fully reducing radial leakage and improving the volume utilization coefficient, the invention patents CN109630407B and CN109630409B propose a high-profile construction method consisting of a pair of conjugate profile sections and a plurality of transition profile sections, although the effect is very obvious, not only the conjugate and avoiding rule calculation and the corresponding programming thereof are far from the understanding of the ordinary engineering technicians; and because the partial transition profile section adopts the replaced circular arc section of the multi-point sealing transition profile section which can not really inhibit the leakage of the conjugate zone, the leakage of the conjugate zone can not be effectively reduced. In addition, in the rotor real object surveying and mapping, the full-profile surveying and mapping can increase the surveying and mapping workload of each sub-profile section, and the accumulated surveying and mapping error of each sub-profile section can also influence the actual conjugation and avoidance quality of the post-processing rotor.
Since the Roots rotor pair is in a non-contact type, and a certain gap also exists between rotors, the regular structure of each sub-profile section is not necessary in fact, and an objective foundation is provided for the fitting structure of the Roots rotor pair. Meanwhile, the existing mapping software also provides a curve fitting tool which is easy to use by general engineering technicians, so that a Roots rotor contour fitting construction method needs to be researched.
Disclosure of Invention
Aiming at the fundamental problem to be solved in the background technology, the invention provides a convenient and efficient double-symmetrical graphical method for the fitting structure of each contour segment to be determined of a conjugate contour segment determined by the early design based on the half-lobe theoretical contour of the Roots rotor mentioned in the background technology.
In order to achieve the purpose, the technical solution of the invention is as follows:
a double-symmetrical illustration method for a Roots rotor contour fitting structure is characterized in that a half-lobe theoretical contour of the Roots rotor is formed by connecting six parts of an outer concentric circular arc section, an outer transition section, an outer conjugate section, an inner transition section and an inner concentric circular arc section end to end, and the double-symmetrical illustration method is characterized in that:
the outer conjugate section and the inner conjugate section have a double-symmetric conjugate relation, and the position of one of the outer conjugate section and the inner conjugate section in a contour shafting is determined, and the conjugate determining section is generally easy to draw or draw,
if the outer conjugate section is a determined section, acquiring an inner conjugate section which is an inner conjugate profile point fitting curve in which outer conjugate profile points corresponding to a plurality of outer conjugate dynamic nodes are respectively symmetrical by an outer conjugate dynamic tangent line and a central axis, wherein the plurality of outer conjugate dynamic nodes represent a plurality of equant points on a section arc section between top nodes of a middle node;
if the inner conjugate section is a determined section, acquiring an outer conjugate section as an outer conjugate profile point fitting curve in which inner conjugate profile points corresponding to a plurality of inner conjugate dynamic nodes are sequentially symmetrical by a central axis and an outer conjugate dynamic tangent line, wherein the plurality of inner conjugate dynamic nodes represent a plurality of equant points on a section arc section between middle node valley nodes;
the external transition section and the internal starting point have a double-symmetrical transition relation, the external transition section is obtained as an external transition profile point fitting curve of the internal starting point, which is respectively symmetrical by a central axis and a plurality of external transition dynamic tangents, the plurality of external transition dynamic tangents are pitch circle tangents at a plurality of external transition dynamic nodes, and the plurality of external transition dynamic nodes are a plurality of equant points on a pitch arc section between top node and peak node;
the internal transition section is a fitting curve of internal transition contour points, wherein the peak points of the internal transition section are respectively symmetrical with the central axis in sequence by a plurality of external transition dynamic tangent lines;
preferably, the plurality of outer conjugate moving nodes represent that a plurality of bisector points on the arc segment of the node between the top nodes of the middle node are greater than or equal to 6, then the fitting points in the fitting curve of the inner conjugate contour points are greater than or equal to 6, and the fitting points are greater than 6, so that sufficient fitting accuracy can be ensured.
Preferably, the plurality of inner conjugate moving nodes represent that a plurality of bisector points on the arc segment between the nodes of the middle node valley are greater than or equal to 6, then the fitting points in the fitting curve of the outer conjugate contour points are greater than or equal to 6, and the fitting points are greater than 6, so that sufficient fitting accuracy can be ensured.
Preferably, the outer transition movable nodes represent a plurality of equal division points on a pitch arc segment between peak nodes of the top node, and the number of equal division points is more than or equal to 6; the number of fitting points in the fitting curve of the outer transition contour point and the fitting curve of the inner transition contour point is more than or equal to 6, and the fitting accuracy can be ensured if the number of fitting points is more than 6.
Compared with the prior art, the invention has the following beneficial effects:
the double-symmetrical graphic method is based on the conjugation and avoidance principle of each sub-profile section in rotation, double-symmetrical conjugate relations of a plurality of points on the section, double-symmetrical transition relations of peak points and double-symmetrical transition relations of inner starting points are determined through conjugation, a high-precision fitting curve of the to-be-determined sub-profile section is directly drawn, the method is convenient, fast and efficient, and easy to directly adopt by general engineering technicians, meanwhile, full-profile conjugation participates in reduction of conjugate leakage, and the volumetric efficiency of a pump/fan is effectively improved.
Drawings
Other features, objects and advantages of the present invention will become more apparent upon reading of the following detailed description of non-limiting embodiments thereof, with reference to the accompanying drawings.
FIG. 1 is a bi-symmetric graphical illustration of a Roots rotor profile configuration;
FIG. 2 is a diagram of a bi-symmetric graph over the construction of the predetermined inner conjugate section;
FIG. 3 is a diagram of a bi-symmetric graph over the construction of the outer conjugate section to be determined;
FIG. 4 is a bi-symmetric graphical illustration of the configuration of the outer transition section to be determined;
FIG. 5 is a bi-symmetric graphical illustration of the configuration of the inner transition section to be defined;
wherein: o, a rotor center, 0, a vertex, 1, a peak point, 2, an outer starting point, 3, a middle node, 4, an inner starting point, 5, a root point, 6, a valley point, 01, an outer concentric circular arc section, 12, an outer transition section, 23, an outer conjugation section, 34 and an inner conjugation section; 45. an inner transition section, 56, an inner concentric circular arc section, O0, a top axis, O3, a middle axis, O6, a valley axis, a top node, b, a peak node, c, an outer conjugate motion node, d, an outer transition motion node, e, a valley node, f, an inner conjugate motion node, i, an outer conjugate motion profile point, j, an outer transition motion profile point, m, an inner conjugate motion profile point, n, an inner transition motion profile point, cc ', an outer conjugate motion tangent line, dd', an outer transition motion tangent line;
Detailed Description
In order to make the technical means, the creation characteristics, the achievement purposes and the effects of the invention easy to understand, the invention is further described with the specific embodiments.
A double-symmetrical illustration method for fitting structure of Roots rotor contour, the half-lobe theoretical contour of Roots rotor is composed of six parts of outer concentric circular arc section, outer transition section, outer conjugate section, inner transition section and inner concentric circular arc section which are connected end to end, the outer conjugate section and the inner conjugate section have double-symmetrical conjugate relation, and one of the outer conjugate section and the inner conjugate section is determined in the position of contour axis system, which is usually determined as conjugate determination section easy to draw or survey,
if the outer conjugate section is a determined section, acquiring an inner conjugate section which is an inner conjugate profile point fitting curve in which outer conjugate profile points corresponding to a plurality of outer conjugate dynamic nodes are respectively symmetrical by an outer conjugate dynamic tangent line and a central axis, wherein the plurality of outer conjugate dynamic nodes represent a plurality of equant points on a section arc section between top nodes of a middle node;
if the inner conjugate section is a determined section, acquiring an outer conjugate section as an outer conjugate profile point fitting curve in which inner conjugate profile points corresponding to a plurality of inner conjugate dynamic nodes are sequentially symmetrical by a central axis and an outer conjugate dynamic tangent line, wherein the plurality of inner conjugate dynamic nodes represent a plurality of equant points on a section arc section between middle node valley nodes;
the external transition section and the internal starting point have a double-symmetrical transition relation, the external transition section is obtained as an external transition profile point fitting curve of the internal starting point, which is respectively symmetrical by a central axis and a plurality of external transition dynamic tangents, the plurality of external transition dynamic tangents are pitch circle tangents at a plurality of external transition dynamic nodes, and the plurality of external transition dynamic nodes are a plurality of equant points on a pitch arc section between top node and peak node;
the internal transition section is a fitting curve of internal transition contour points, wherein the peak points of the internal transition section are respectively symmetrical with the central axis in sequence by a plurality of external transition dynamic tangent lines;
the plurality of outer conjugate movable nodes represent that a plurality of equant points on the arc segment of the node between the top nodes of the middle node are more than or equal to 6, the fitting points in the fitting curve of the inner conjugate movable contour points are more than or equal to 6, and the fitting points are more than 6, so that the enough fitting precision can be ensured.
The inner conjugate movable nodes represent that a plurality of equant points on the arc segment of the node between the valley nodes of the middle node are more than or equal to 6, the fitting points in the fitting curve of the outer conjugate contour points are more than or equal to 6, and the fitting points are more than 6, so that the enough fitting precision can be ensured.
The outer transition movable nodes represent a plurality of equal division points on the arc segment between the top node and the peak node, and the number of equal division points is more than or equal to 6; the number of fitting points in the fitting curve of the outer transition contour point and the fitting curve of the inner transition contour point is more than or equal to 6, and the fitting accuracy can be ensured if the number of fitting points is more than 6.
As shown in fig. 1 to 5, a roots rotor for which a double-symmetric graphical method is applied, has a half-lobe theoretical profile composed of six parts of an outer concentric circular arc section 01, an outer transition section 12, an outer conjugate section 23, an inner conjugate section 34, an inner transition section 45, and an inner concentric circular arc section 56, which are connected end to end; the corresponding end points and connection points are, in order, a vertex 0, a peak point 1, an outer (conjugate) starting point 2, a middle node 3, an inner (conjugate) starting point 4, a root point 5, and a valley point 6, which are located on the (leaf) valley (symmetry) axis. The intersection point of the top shaft O0 and the valley shaft O6 is a rotor center O, the bisection shaft of an included angle between the top shaft and the valley shaft is a central shaft O3, the top shaft, the central shaft, the valley shaft and the rotor center are plane shaft systems for determining the profile of a half impeller, the profile shaft systems are short and are uniquely determined by the number of rotor blades, the intersection point of the top shaft and a pitch circle is a top node a, the intersection point of the valley shaft and the pitch circle is a valley node e, a2 connecting line is perpendicular to the outer conjugate section 23, e4 connecting line is perpendicular to the inner conjugate section 34, the length of a2 is equal to the length of e4, and in the early design that the volumetric efficiency of the pump/fan is maximized, the lengths of a2 and e4 are always expected;
taking 3 examples of the number of the rotor blades, wherein the radius of the pitch circle and the radius of the outer concentric circular arc section are both known values designed in an earlier stage or drawn by a physical measurement, and the radius of the inner concentric circular arc section is equal to the radius of the outer concentric circular arc section, and the radius of the inner concentric circular arc section is equal to 2 times the radius of the pitch circle minus the radius of the outer concentric circular arc section, namely the shape and the position of the outer concentric circular arc section 01 and the inner concentric circular arc section 65 in the contour shafting are determined;
a bi-symmetric graphical solution of the construction of the conjugate section 34 to be determined. At this time, the outer conjugate section 23 is a determined section, firstly, 5 outer conjugate dynamic nodes c of 5 equal division non-middle nodes are taken, and secondly, corresponding 5 outer conjugate dynamic tangent lines cc' and outer conjugate dynamic contour points i are made; finally, 5 symmetrical points of the outer conjugate dynamic contour point i, which are sequentially symmetrical about the outer conjugate dynamic tangent line cc' and the middle axis, are made, and an inner conjugate section curve is fit by the 5 symmetrical points and the middle node;
a bi-symmetric graphical solution of the construction of the pending outer conjugate section 23. At this time, the inner conjugate section 34 is a determined section, firstly, 5 inner conjugate moving nodes f of 5 equal non-middle nodes are taken and 5 corresponding inner conjugate contour points m are made, secondly, 5 outer conjugate moving nodes c of 5 equal non-middle nodes are taken and 5 corresponding outer conjugate moving tangents cc 'are made, finally, 5 symmetrical points of the inner conjugate moving contour points m, which are sequentially symmetrical about the middle axis and the outer conjugate moving tangents cc', are made, and the 5 symmetrical points and the middle nodes are fitted into an outer conjugate section curve 23;
a double symmetrical graphical solution of the construction of the pending outer transition 12. Firstly, determining the position of a peak node b by the intersection point of a straight line segment Ob which passes through the center of a rotor and is parallel to the connecting line of a central axis symmetrical point 4' of an inner starting point 4 and a peak point 1 and a pitch circle, secondly, taking 4 outer transition movable nodes d in 5 equal parts and making corresponding 4 outer transition movable tangent lines dd ', then making 4 symmetrical points of the inner starting point 4 which are sequentially symmetrical about the central axis and the outer transition movable tangent lines dd ', and finally, fitting the 4 symmetrical points, the outer starting point 2 and the peak point 1 into an outer transition section curve 12;
a double symmetrical graphical solution of the construction of the transition section 45 to be determined. Firstly, 5 external transition movable nodes d of 5 equal-division non-peak nodes are taken, then corresponding 5 external transition movable tangent lines dd 'are made, then 5 symmetrical points of a peak point 1 which is sequentially symmetrical about the external transition movable tangent lines dd' and a middle axis are made, and finally, an internal transition section curve 45 is fitted by the 5 symmetrical points, an internal starting point and a root point;
while there have been shown and described what are at present considered the fundamental principles and essential features of the invention and its advantages, it will be apparent to those skilled in the art that the invention is not limited to the details of the foregoing exemplary embodiments, but is capable of other specific forms without departing from the spirit or essential characteristics thereof. The present embodiments are therefore to be considered in all respects as illustrative and not restrictive, the scope of the invention being indicated by the appended claims rather than by the foregoing description, and all changes which come within the meaning and range of equivalency of the claims are therefore intended to be embraced therein.
Claims (4)
1. A double-symmetrical illustration method for a Roots rotor contour fitting structure is characterized in that a half-lobe theoretical contour of the Roots rotor is formed by connecting six parts of an outer concentric circular arc section, an outer transition section, an outer conjugate section, an inner transition section and an inner concentric circular arc section end to end, and the double-symmetrical illustration method is characterized in that: the outer conjugate section and the inner conjugate section have a double-symmetric conjugate relation, and the position of one of the outer conjugate section and the inner conjugate section in a contour shafting is determined, and the conjugate determining section is generally easy to draw or draw,
if the outer conjugate section is a determined section, acquiring an inner conjugate section which is an inner conjugate profile point fitting curve in which outer conjugate profile points corresponding to a plurality of outer conjugate dynamic nodes are respectively symmetrical by an outer conjugate dynamic tangent line and a central axis, wherein the plurality of outer conjugate dynamic nodes represent a plurality of equant points on a section arc section between top nodes of a middle node;
if the inner conjugate section is a determined section, acquiring an outer conjugate section as an outer conjugate profile point fitting curve in which inner conjugate profile points corresponding to a plurality of inner conjugate dynamic nodes are sequentially symmetrical by a central axis and an outer conjugate dynamic tangent line, wherein the plurality of inner conjugate dynamic nodes represent a plurality of equant points on a section arc section between middle node valley nodes;
the external transition section and the internal starting point have a double-symmetrical transition relation, the external transition section is obtained as an external transition profile point fitting curve of the internal starting point, which is respectively symmetrical by a central axis and a plurality of external transition dynamic tangents, the plurality of external transition dynamic tangents are pitch circle tangents at a plurality of external transition dynamic nodes, and the plurality of external transition dynamic nodes are a plurality of equant points on a pitch arc section between top node and peak node;
and the internal transition section is a fitting curve of internal transition profile points, wherein the peak points of the internal transition section are respectively symmetrical with the central axis in sequence by a plurality of external transition dynamic tangent lines.
2. The bi-symmetric graphical method of a roots rotor profile-fitting configuration of claim 1, wherein: the plurality of outer conjugate movable nodes represent that a plurality of equant points on the arc segment of the node between the top nodes of the middle node are more than or equal to 6, the fitting points in the fitting curve of the inner conjugate movable contour points are more than or equal to 6, and the fitting points are more than 6, so that the enough fitting precision can be ensured.
3. The bi-symmetric graphical method of a roots rotor profile-fitting configuration of claim 1, wherein: the inner conjugate movable nodes represent that a plurality of equant points on the arc segment of the node between the valley nodes of the middle node are more than or equal to 6, the fitting points in the fitting curve of the outer conjugate contour points are more than or equal to 6, and the fitting points are more than 6, so that the enough fitting precision can be ensured.
4. The bi-symmetric graphical method of a roots rotor profile-fitting configuration of claim 1, wherein: the outer transition movable nodes represent a plurality of equal division points on the arc segment between the top node and the peak node, and the number of equal division points is more than or equal to 6; the number of fitting points in the fitting curve of the outer transition contour point and the fitting curve of the inner transition contour point is more than or equal to 6, and the fitting accuracy can be ensured if the number of fitting points is more than 6.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202110096096.6A CN112922835A (en) | 2021-01-25 | 2021-01-25 | Double-symmetry graphical method for Roots rotor contour fitting structure |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202110096096.6A CN112922835A (en) | 2021-01-25 | 2021-01-25 | Double-symmetry graphical method for Roots rotor contour fitting structure |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN112922835A true CN112922835A (en) | 2021-06-08 |
Family
ID=76166770
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202110096096.6A Pending CN112922835A (en) | 2021-01-25 | 2021-01-25 | Double-symmetry graphical method for Roots rotor contour fitting structure |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN112922835A (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115289004A (en) * | 2022-01-11 | 2022-11-04 | 宿迁学院 | Rapid reverse solving method for Roots rotor volume utilization coefficient |
-
2021
- 2021-01-25 CN CN202110096096.6A patent/CN112922835A/en active Pending
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115289004A (en) * | 2022-01-11 | 2022-11-04 | 宿迁学院 | Rapid reverse solving method for Roots rotor volume utilization coefficient |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN107050543B (en) | Microminiature centrifugal blood pump with self-adjusting blades | |
| CN110608068B (en) | Radial flow turbine guide vane structure coupled with non-axisymmetric end wall | |
| CN112922835A (en) | Double-symmetry graphical method for Roots rotor contour fitting structure | |
| CN110457815B (en) | Method for designing three-dimensional blade profile modification of hydraulic torque converter based on angle keeping transformation | |
| CN110705079B (en) | Centrifugal compressor structure optimization method based on simulated annealing algorithm | |
| CN111079269B (en) | General calculation model for flow pulsation coefficient of rotor pump | |
| CN104699888B (en) | A kind of hydraulic turbine design method based on pump turbine | |
| KR20110113541A (en) | Method for designing the gerotor pump | |
| CN211314539U (en) | Hyperbolic rotor for Roots pump | |
| CN110878754A (en) | Two-blade rotor profile of Roots vacuum pump | |
| CN110985371A (en) | Universal condition model for obtaining limit profile of pump rotor | |
| CN207513823U (en) | A kind of slip quaterfoil differential pump of free pitch curve non-circular gear driving | |
| CN216691451U (en) | Tooth profile curve of pair of male and female rotors, male and female rotors and screw compressor | |
| CN110878753B (en) | Outer straight rotor for high-energy Roots pump | |
| CN110005609B (en) | Smooth rotor profile of double-screw vacuum pump and design method thereof | |
| CN111237187B (en) | Flexible construction method for convex rotor profile | |
| CN104235055B (en) | A kind of hydraulic model method for designing of big diameter elbow slurry circulating pump | |
| CN214698335U (en) | Convex rotor profile with inner straight conjugate and larger form factor | |
| CN203641003U (en) | 45-degree pitch pressure angle involute type rotor of roots pump | |
| CN214366719U (en) | Roots rotor profile with higher volumetric efficiency and inner straight conjugation | |
| CN110821828A (en) | Hyperbolic rotor for Roots pump | |
| CN115030898B (en) | Rotor with improved involute Roots rotor profile and design method thereof | |
| CN111271284A (en) | Three-blade rotor assembly of roots vacuum pump | |
| CN214464902U (en) | Convex-flat conjugate 3-twisted-blade rotor volume pair and helical tooth power pair | |
| CN112746966A (en) | Convex rotor profile with inner straight conjugate and larger form factor |
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 | ||
| WD01 | Invention patent application deemed withdrawn after publication | ||
| WD01 | Invention patent application deemed withdrawn after publication |
Application publication date: 20210608 |