CN118008809A - A method for correcting the profile of scroll tooth head of scroll compressor - Google Patents
A method for correcting the profile of scroll tooth head of scroll compressor Download PDFInfo
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- CN118008809A CN118008809A CN202410345356.2A CN202410345356A CN118008809A CN 118008809 A CN118008809 A CN 118008809A CN 202410345356 A CN202410345356 A CN 202410345356A CN 118008809 A CN118008809 A CN 118008809A
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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
- F04C29/00—Component parts, details or accessories of pumps or pumping installations, not provided for in groups F04C18/00 - F04C28/00
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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
- F04C18/02—Rotary-piston pumps specially adapted for elastic fluids of arcuate-engagement type, i.e. with circular translatory movement of co-operating members, each member having the same number of teeth or tooth-equivalents
- F04C18/0207—Rotary-piston pumps specially adapted for elastic fluids of arcuate-engagement type, i.e. with circular translatory movement of co-operating members, each member having the same number of teeth or tooth-equivalents both members having co-operating elements in spiral form
- F04C18/0215—Rotary-piston pumps specially adapted for elastic fluids of arcuate-engagement type, i.e. with circular translatory movement of co-operating members, each member having the same number of teeth or tooth-equivalents both members having co-operating elements in spiral form where only one member is moving
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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
- F04C2240/00—Components
- F04C2240/20—Rotors
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- General Engineering & Computer Science (AREA)
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Abstract
本发明公开了一种涡旋式压缩机涡旋齿头型线修正方法，该方法包括：S01、根据阿基米德螺线C1和修正圆弧r1构造涡旋齿第一母线Cg1；S02、将第一母线Cg1向内法向等距Ror/2，得到静涡旋齿外壁型线；将第一母线Cg1向外法向等距Ror/2并删除最外1/2圈曲线，得到动涡旋齿内壁型线；其中，Ror为曲轴的回转半径；S03、以第一母线Cg1的中心对称曲线为第二母线Cg2；将第二母线Cg2向内法向等距Ror/2，可得到动涡旋齿外壁型线；将第二母线Cg2向外法向等距Ror/2并删除最外1/2圈曲线可得到静涡旋齿内壁型线；S05、根据第一母线Cg1和第二母线Cg2的曲线方程，通过法向等距线法依次得到动涡旋齿外壁型线、动涡旋齿内壁型线、静涡旋齿外壁型线及静涡旋齿内壁型线的方程。
The invention discloses a method for correcting the profile of a scroll tooth head of a scroll compressor. The method comprises the following steps: S01, constructing a first generatrix C g1 of a scroll tooth according to an Archimedean spiral C 1 and a corrected circular arc r 1 ; S02, equidistantly extending the first generatrix C g1 inwardly by R or /2, obtaining a profile of an outer wall of a static scroll tooth; equidistantly extending the first generatrix C g1 outwardly by R or /2 and deleting the outermost 1/2 circle curve, obtaining a profile of an inner wall of a movable scroll tooth; wherein R or is the gyration radius of a crankshaft; S03, taking the central symmetric curve of the first generatrix C g1 as a second generatrix C g2 ; equidistantly extending the second generatrix C g2 inwardly by R or /2, obtaining a profile of an outer wall of a movable scroll tooth; equidistantly extending the second generatrix C g2 outwardly by R or /2 and deleting the outermost 1/2 circle curve, obtaining a profile of an inner wall of a static scroll tooth; S05, equidistantly extending the first generatrix C g1 by R or /2 and deleting the outermost 1/2 circle curve, obtaining a profile of an inner wall of a static scroll tooth; The curve equation of g2 is obtained by the normal equidistant line method, and the equations of the movable scroll tooth outer wall profile, the movable scroll tooth inner wall profile, the static scroll tooth outer wall profile and the static scroll tooth inner wall profile are obtained in turn.
Description
Technical Field
The invention relates to the field of compressors, in particular to a method for correcting a molded line of a vortex tooth head of a vortex compressor.
Background
The scroll compressor is a green energy-saving volumetric fluid machine, and is widely applied to the fields of air conditioning refrigeration, food equipment, medical chemical industry, new energy and the like because of the advantages of high efficiency, energy saving, material saving, low noise, stable operation, high reliability and the like.
The scroll compressor structure includes intermeshing orbiting and non-orbiting scroll wraps. The working principle is as follows: the movable vortex teeth revolve around the fixed vortex teeth to make revolution and translation to form a series of crescent cavities to realize the suction, compression and discharge of gas. During this movement, the orbiting and non-orbiting scroll wraps must be properly engaged within the compression pockets without interference. The spiral tooth profile is common in a circle involute and an Archimedes spiral, the Archimedes spiral is a curve which is widely applied, simple in mathematical description and convenient to process, a spiral tooth head formed by using the Archimedes spiral always has sharp points and incomplete phenomena, and a cutter and a spiral tooth interfere in the process of processing, so that a method for correcting the tooth head of the profile of the spiral tooth generated by the Archimedes spiral is needed currently, and the problem that the spiral tooth of the Archimedes spiral has sharp points and interference in actual processing is solved.
Disclosure of Invention
The embodiment of the invention provides a method for correcting a profile of a vortex tooth head of a vortex compressor, which aims to solve the problems of sharp points and interference of the existing Archimedes spiral vortex tooth in actual processing.
In order to solve the above technical problems, an embodiment of the present invention provides a method for correcting a profile of a scroll compressor scroll wrap, including:
S01, constructing a first busbar C g1 of the vortex teeth according to the Archimedes spiral C 1 and the corrected arc r 1;
the curve equation for archimedes spiral C 1 is:
Wherein a is the polar diameter of the Archimedes spiral when the polar angle is 0, b is the spiral coefficient of the Archimedes spiral, t is the polar angle of the Archimedes spiral, t 0 is the corrected polar angle corresponding to the Archimedes spiral correction point A, and t max is the terminal polar angle of the Archimedes spiral;
the Archimedes spiral C 1 and the correction arc r 1 are connected smoothly at the correction point A in a first order;
Correcting the center angle lambda of the arc and the radius r m of the corrected arc according to the involute base circle radius a 0 corresponding to the correction point to obtain a curve equation of the corrected arc r 1;
S02, enabling the first bus C g1 to be equidistant from the inner normal direction R or/2, and obtaining the outer wall molded line of the fixed scroll teeth; the first bus C g1 is outwards normal equidistant R or/2, and the outermost 1/2 circle curve is deleted, so that the inner wall molded line of the movable vortex teeth is obtained; wherein R or is the radius of gyration of the crankshaft;
s03, taking a central symmetry curve of the first bus C g1 as a second bus C g2;
S04, enabling the second bus C g2 to be equidistant from the inner normal direction R or/2, and obtaining the outer wall molded line of the movable vortex teeth; the second bus C g2 is outwards normal equidistant R or/2 and the outermost 1/2 circle curve is deleted, so that the inner wall molded line of the static vortex tooth can be obtained;
S05, according to the curve equation of the first generatrix C g1 and the second generatrix C g2, equations of the outer wall molded line of the movable vortex teeth, the inner wall molded line of the movable vortex teeth, the outer wall molded line of the fixed vortex teeth and the inner wall molded line of the fixed vortex teeth are sequentially obtained through a normal equidistant line method.
Optionally, in step S01 above:
the calculation formula of the involute base circle radius a 0 corresponding to the correction point is as follows:
The calculation formula of the corrected arc center angle lambda is as follows:
the calculation formula of the radius r m of the corrected arc is as follows:
Wherein OA is the distance from the origin O to the connection point A, Is the correction spread angle corresponding to the Archimedes spiral correction point A, and t 0 is the correction polar angle corresponding to the Archimedes spiral correction point A.
Optionally, in the step S01, according to the involute base circle radius a 0 corresponding to the correction point, the arc center angle λ is corrected, and the radius r m of the arc is corrected, so as to obtain:
center C (x m1,ym1) of corrected arc r 1:
The curve equation of the AO section in the corrected arc r 1 is:
Wherein, x m1 and y m1 are respectively the x-axis coordinate and the y-axis coordinate of the C point of the circle center of the corrected arc, Is the curve angle of the modified arc.
Optionally, the second bus bar C g2 includes: archimedes spiral C 2 and modified arc r 2; the corrected arc r 1 and the corrected arc r 2 are centrosymmetric curves with respect to the origin O, and the archimedes spiral C 1 and the archimedes spiral C 2 are centrosymmetric curves with respect to the origin O; the Archimedes spiral C 2 and the correction arc r 2 are connected smoothly at the correction point B in a first order;
thus, the archimedes spiral C 2 equation is:
Center E (x m2,ym2) of corrected arc r 2:
The curve equation for BO in the corrected arc r 2 is:
wherein, x m2 and y m2 are respectively the x-axis coordinate and the y-axis coordinate of the point E of the circle center of the corrected arc, Is the curve angle of the modified arc.
Alternatively, the execution sequence of the step S02 and the step S03 may be interchanged.
Optionally, the equation obtained in the step S05 is as follows:
The curve equation of the outer side of the static vortex tooth is as follows:
The inner side curve equation of the static vortex tooth is as follows:
The outside curve equation of the movable vortex teeth is:
the inner side curve equation of the movable vortex teeth is as follows:
wherein, subscript f represents the fixed scroll teeth, subscript m represents the movable scroll teeth, subscript 1 represents the first section of scroll teeth profile, subscript 2 represents the second section of scroll teeth profile, subscript i represents the scroll teeth inner wall profile, and subscript o represents the scroll teeth outer wall profile. The molded line of the movable vortex teeth is generated by the molded line of the outer wall of the movable vortex teeth and the molded line of the inner wall of the movable vortex teeth, and the molded line of the fixed vortex teeth is generated by the molded line of the outer wall of the fixed vortex teeth and the molded line of the inner wall of the fixed vortex teeth.
Optionally, the first-order smooth connection at the correction point a includes: the Archimedes spiral C 1 and the correction arc r 1 are continuous in position at the correction point A and continuous in slope; the first order smooth connection at correction point B includes: the archimedes spiral C 2 and the correction arc r 2 are continuous in position at the correction point B and continuous in slope.
In a second aspect, embodiments of the present application provide a scroll compressor scroll wrap obtained in accordance with the method of the first aspect described above.
In a third aspect, embodiments of the present application provide a scroll compressor or scroll expander using the scroll wraps of the second aspect described above.
The invention has the beneficial effects that:
On the one hand, the tooth head molded line correction method of the Archimedes spiral vortex tooth can determine the correction arc according to the differential geometric relationship and under the condition of ensuring the first-order smooth connection of the correction points, and complete the tooth head correction of the Archimedes spiral vortex tooth. The problems that the vortex teeth generated by the traditional Archimedes spiral are difficult to realize complete meshing, sharp corners and incomplete teeth exist on the tooth heads, and the radius of curvature of the tooth head part is smaller than the radius of a cutter circle in the machining process, so that the machining cutter and the vortex teeth are easy to interfere are avoided; the modified Archimedes spiral vortex tooth can be completely meshed in the movement process, the tooth head area and the strength of the vortex tooth are increased, and the service life of the vortex compressor is prolonged.
On the other hand, compared with the scroll teeth formed by other curves, the Archimedes spiral scroll teeth are easier to process, and the geometric accuracy of the scroll body of the Archimedes spiral scroll teeth processed by adopting a numerical approximation method is higher. The current interpolation modes of the approximation curve include linear interpolation, double-arc interpolation, archimedes spiral interpolation and the like, and when the geometrical law of the approximation curve is close to or consistent with the law of the processed vortex molded line, the machine tool motion relationship is simpler, the number of approximation nodes is fewer, and the geometrical precision of the processed vortex body is higher. Namely, the tooth head profile correction method of the Archimedes spiral vortex tooth is more beneficial to improving the actual machining precision of the vortex tooth and reducing the defective rate.
Drawings
FIG. 1 is a schematic view of a busbar of an unmodified Archimedean spiral wrap profile;
FIG. 2 is a schematic illustration of an unmodified Archimedes spiral wrap profile;
FIG. 3 is a schematic view of modified Archimedes spiral wrap first busbar C g1 and second busbar C g2 of the present invention;
FIG. 4 is a schematic diagram of the differential geometry of the modified wrap profile of the present invention;
FIG. 5 is a schematic illustration of a wrap generating wrap profile of the present invention;
Fig. 6 is a schematic view showing the engagement of the movable scroll 1 and the fixed scroll 2 according to the present invention.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and fully with reference to the accompanying drawings, in which it is evident that the embodiments described are some, but not all embodiments of the invention. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Example 1
As shown in fig. 1 to 6, the present embodiment discloses a modification method for a spiral wrap head profile of a scroll compressor, which solves a curve equation of an archimedes spiral wrap head modification profile according to a boundary condition of smooth connection between a differential geometry and a curve. Specifically, the method comprises the following steps:
The embodiment of the invention provides a method for correcting a profile of a vortex tooth head of a vortex compressor, which comprises the following steps:
S01, constructing a first busbar C g1 of the vortex teeth according to the Archimedes spiral C 1 and the corrected arc r 1.
The curve equation for archimedes spiral C 1 is:
Wherein a is the polar diameter of the Archimedes spiral when the polar angle is 0, b is the spiral coefficient of the Archimedes spiral, t is the polar angle of the Archimedes spiral, t 0 is the corrected polar angle corresponding to the Archimedes spiral correction point A, and t max is the terminal polar angle of the Archimedes spiral;
the Archimedes spiral C 1 and the correction arc r 1 are connected smoothly at the correction point A in a first order;
And correcting the center angle lambda of the arc and the radius r m of the corrected arc according to the involute base circle radius a 0 corresponding to the correction point, so as to obtain a curve equation of the corrected arc r 1.
The archimedes spiral C 2 is the centrosymmetric curve of the archimedes spiral C 1, so the curve equation of the archimedes spiral C 2 is:
It should be noted that, fig. 1 shows a schematic diagram of a bus of an archimedes spiral scroll, and the bus in fig. 1 can generate the archimedes spiral scroll in fig. 2 through a normal equidistant line method, and as can be seen from fig. 2, the tip of a single archimedes spiral scroll has sharp angles and interference phenomena, and cannot be directly applied to production practice. Accordingly, the present invention corrects the tip generatrix of the archimedes spiral scroll by the arc, and fig. 3 is a schematic diagram of the first spiral generatrix Cg 1 composed of the corrected arc generatrix r 1 and the archimedes spiral C 1, and the second spiral generatrix Cg 2 composed of the corrected arc generatrix r 2 and the centrosymmetric curve C 2 of the archimedes spiral C 1.
Alternatively, fig. 4 is a schematic diagram of the differential geometry of the modified arc generatrix and the archimedes spiral generatrix, the modified arc r 1 and the modified arc r 2 being centrosymmetric curves passing through the origin O. Meanwhile, the connection of the curve C 1 and the corrected arc r 1, the corrected arc r 1 and the corrected arc r 2, and the connection of the corrected arc r 2 and the curve C 2 all meet the boundary condition of the smooth connection of the combined molded lines of the scroll wraps.
At the junction point a of the busbar C 1 and the modified arc r 1, the smooth connection condition according to the differential geometry principle and curve is known:OC＝rm,∠OCA＝λ,OD＝a0，
Wherein: r m is the arc radius of the modified arc, The correction expansion angle is corresponding to an Archimedes spiral correction point A, and lambda is the arc center angle corresponding to the correction arc;
OD+.T. DA, due to
The sine theorem and the cosine theorem of the triangle are available:
The involute base circle radius a 0 corresponding to the correction point A can be obtained through the solving process.
In Δcoa:
CO＝CA＝rm,
from = coa= = CAO:
Namely:
The corrected arc center angle λ can be obtained from the above equation (4).
In the case of the Δocd,Namely:
the radius r m of the corrected arc can be obtained from the above equation (5).
And (3) solving the above (4) and (5) simultaneously to obtain the curve equation of the circle center C of the corrected arc r 1 and the curve equation of the corrected arc AO, and obtaining the curve equation of the circle center E of the corrected arc r 2 and the curve equation of the corrected arc BO in the same way.
The center C (x m1,ym1) of the correction arc:
The center E (x m2,ym2) of the corrected arc:
The curve equation for AO in the corrected arc r 1 is:
The curve equation for BO in the corrected arc r 2 is:
wherein: x m1 and y m1 are the x-axis coordinate and y-axis coordinate of the point C of the center of the corrected arc, Is the curve spread angle of the corrected arc, and x m2 and y m2 are the x-axis coordinate and the y-axis coordinate of the point E of the center of the corrected arc respectively.
It should be noted that, the first-order smooth connection in the present application includes: the position is continuous and the slope is continuous. Position continuity means that two curves intersect at a correction point, and slope continuity means that the first derivatives of the two curves at the correction point are equal at that point.
Specifically, the first-order smooth connection at the correction point a includes: the archimedes spiral C 1 and the correction arc r 1 are continuous in position at the correction point a and continuous in slope.
The first order smooth connection at correction point B includes: the archimedes spiral C 2 and the correction arc r 2 are continuous in position at the correction point B and continuous in slope.
It will be appreciated that the tool is easier to machine during actual machining, avoiding the presence of bulges or sharp corners, due to the first order smooth connection at the correction points. In addition, the first-order smooth connection at the correction point can be smoother and smoother in the meshing process of the vortex teeth, and the compression efficiency is improved.
S02, enabling the first bus C g1 to be equidistant from the inner normal direction R or/2, and obtaining the outer wall molded line of the fixed scroll teeth; the first bus C g1 is outwards normal equidistant R or/2, and the outermost 1/2 circle curve is deleted, so that the inner wall molded line of the movable vortex teeth is obtained; wherein R or is the radius of gyration of the crankshaft.
S03, taking a central symmetry curve of the first bus C g1 as a second bus C g2.
Specifically, as shown in fig. 3, the first busbar C g1 and the second busbar C g2 are centrosymmetric curves with respect to O.
Alternatively, the execution sequence of the step S02 and the step S03 may be interchanged.
S04, enabling the second bus C g2 to be equidistant from the inner normal direction R or/2, and obtaining the outer wall molded line of the movable vortex teeth; and (3) the second bus C g2 is outwards normal equidistant R or/2, and the outermost 1/2 circle curve is deleted, so that the inner wall molded line of the fixed scroll teeth can be obtained.
S05, according to the curve equation of the first generatrix C g1 and the second generatrix C g2, equations of the outer wall molded line of the movable vortex teeth, the inner wall molded line of the movable vortex teeth, the outer wall molded line of the fixed vortex teeth and the inner wall molded line of the fixed vortex teeth are sequentially obtained through a normal equidistant line method.
Optionally, the equation obtained in the step S05 is as follows:
The curve equation of the outer side of the static vortex tooth is as follows:
The inner side curve equation of the static vortex tooth is as follows:
The outside curve equation of the movable vortex teeth is:
the inner side curve equation of the movable vortex teeth is as follows:
wherein, subscript f represents the fixed scroll teeth, subscript m represents the movable scroll teeth, subscript 1 represents the first section of scroll teeth profile, subscript 2 represents the second section of scroll teeth profile, subscript i represents the scroll teeth inner wall profile, and subscript o represents the scroll teeth outer wall profile. The molded line of the movable vortex teeth is generated by the molded line of the outer wall of the movable vortex teeth and the molded line of the inner wall of the movable vortex teeth, and the molded line of the fixed vortex teeth is generated by the molded line of the outer wall of the fixed vortex teeth and the molded line of the inner wall of the fixed vortex teeth.
According to the tooth head molded line correction method of the Archimedes spiral vortex tooth, on one hand, the correction arc can be determined according to the differential geometric relationship and the first-order smooth connection of the correction points, and the tooth head correction of the Archimedes spiral vortex tooth is completed. The problems that the vortex teeth generated by the traditional Archimedes spiral are difficult to realize complete meshing, sharp corners and incomplete teeth exist on the tooth heads, and the radius of curvature of the tooth head part is smaller than the radius of a cutter circle in the machining process, so that the machining cutter and the vortex teeth are easy to interfere are avoided; the modified Archimedes spiral vortex tooth can be completely meshed in the movement process, the tooth head area and the strength of the vortex tooth are increased, and the service life of the vortex compressor is prolonged. On the other hand, compared with the scroll teeth formed by other curves, the Archimedes spiral scroll teeth are easier to process, and the geometric accuracy of the scroll body of the Archimedes spiral scroll teeth processed by adopting a numerical approximation method is higher. The current interpolation modes of the approximation curve include linear interpolation, double-arc interpolation, archimedes spiral interpolation and the like, and when the geometrical law of the approximation curve is close to or consistent with the law of the processed vortex molded line, the machine tool motion relationship is simpler, the number of approximation nodes is fewer, and the geometrical precision of the processed vortex body is higher. Namely, the tooth head profile correction method of the Archimedes spiral vortex tooth is more beneficial to improving the actual machining precision of the vortex tooth and reducing the defective rate.
Example 2
As shown in fig. 5 and 6, the present embodiment discloses a spiral wrap (including an orbiting wrap 1 and a non-orbiting wrap 2) obtained by an archimedes spiral wrap line correction method based on the above-described scroll compressor of embodiment 1, and a scroll compressor or scroll expander using the same.
Optionally, the variable cross-section scroll wrap includes: an orbiting scroll 1 and a fixed scroll 2. The movable scroll 1 is composed of a movable scroll outer wall profile and a movable scroll inner wall profile (see the method in example 1 for details); the fixed scroll wrap 2 is composed of a fixed scroll wrap outer wall profile and a fixed scroll wrap inner wall profile (see, for example, the method of example 1). Wherein, the movable vortex teeth 1 and the fixed vortex teeth 2 are composed of Archimedes spiral, correction circular arcs and normal equidistant lines.
It should be noted that, during an orbital translational operation (for example, during an operation of a scroll compressor or a scroll expander), the movable scroll 1 and the fixed scroll 2 can be properly meshed, that is, the outer wall profile of the movable scroll is meshed with the inner wall profile of the fixed scroll, and the inner wall profile of the movable scroll is meshed with the outer wall profile of the fixed scroll.
Fig. 5 and 6 show schematic views of the orbiting scroll wrap 1 and the fixed scroll wrap 2 from the center of revolution to the inter-engagement, by way of example. As shown in fig. 5 and 6, the movable scroll 1 and the fixed scroll 2 are identical and are centrosymmetric, and fig. 5 is a schematic view of the movable scroll 1 and the fixed scroll 2 at the center of revolution; when the movable vortex teeth do rotary motion with the rotary radius of R or, the movable vortex teeth and the fixed vortex teeth can be correctly meshed. Fig. 6 is a schematic view of the engagement of the movable scroll 1 and the fixed scroll 2.
It can be understood that the spiral teeth obtained by using the Archimedes spiral tooth line correction method of the scroll compressor and the scroll compressor or the scroll expander based on the spiral teeth can avoid tooth head interference of the spiral tooth line in the design and use process, so that the spiral teeth can be reasonably applied to production practice; in the use process, the use process is smoother due to smooth transition at the position of the connecting point of the correction molded line, so that the compression efficiency is improved.
The scroll wraps described above may also be applied to scroll compressors, scroll expanders, scroll vacuum pumps and similar devices requiring the use of molded lines based on the same inventive concept.
While the principles and embodiments of the present invention have been described in detail with reference to specific examples, the foregoing examples are provided for the purpose of illustrating the general principles of the invention and are not to be construed as limiting the scope of the invention.
Claims (9)
1. A method for modifying a profile of a scroll compressor scroll wrap, the method comprising:
S01, constructing a first busbar C g1 of the vortex teeth according to the Archimedes spiral C 1 and the corrected arc r 1;
the curve equation for archimedes spiral C 1 is:
Wherein a is the polar diameter of the Archimedes spiral when the polar angle is 0, b is the spiral coefficient of the Archimedes spiral, t is the polar angle of the Archimedes spiral, t 0 is the corrected polar angle corresponding to the Archimedes spiral correction point A, and t max is the terminal polar angle of the Archimedes spiral;
the Archimedes spiral C 1 and the correction arc r 1 are connected smoothly at the correction point A in a first order;
Correcting the center angle lambda of the arc and the radius r m of the corrected arc according to the involute base circle radius a 0 corresponding to the correction point to obtain a curve equation of the corrected arc r 1;
S02, enabling the first bus C g1 to be equidistant from the inner normal direction R or/2, and obtaining the outer wall molded line of the fixed scroll teeth; the first bus C g1 is outwards normal equidistant R or/2, and the outermost 1/2 circle curve is deleted, so that the inner wall molded line of the movable vortex teeth is obtained; wherein R or is the radius of gyration of the crankshaft;
s03, taking a central symmetry curve of the first bus C g1 as a second bus C g2;
S04, enabling the second bus C g2 to be equidistant from the inner normal direction R or/2, and obtaining the outer wall molded line of the movable vortex teeth; the second bus C g2 is outwards normal equidistant R or/2 and the outermost 1/2 circle curve is deleted, so that the inner wall molded line of the static vortex tooth can be obtained;
S05, according to the curve equation of the first generatrix C g1 and the second generatrix C g2, equations of the outer wall molded line of the movable vortex teeth, the inner wall molded line of the movable vortex teeth, the outer wall molded line of the fixed vortex teeth and the inner wall molded line of the fixed vortex teeth are sequentially obtained through a normal equidistant line method.
2. The method according to claim 1, wherein in the step S01:
the calculation formula of the involute base circle radius a 0 corresponding to the correction point is as follows:
The calculation formula of the corrected arc center angle lambda is as follows:
the calculation formula of the radius r m of the corrected arc is as follows:
Wherein OA is the distance from the origin O to the connection point A, Is the correction spread angle corresponding to the Archimedes spiral correction point A, and t 0 is the correction polar angle corresponding to the Archimedes spiral correction point A.
3. The method according to claim 1, wherein in the step S01, the center angle λ of the arc is corrected and the radius r m of the arc is corrected according to the radius a 0 of the involute base circle corresponding to the correction point, so as to obtain a curve equation of the corrected arc r 1:
center C (x m1,ym1) of corrected arc r 1:
The curve equation of the AO section in the corrected arc r 1 is:
Wherein, x m1 and y m1 are respectively the x-axis coordinate and the y-axis coordinate of the C point of the circle center of the corrected arc, Is the curve angle of the modified arc.
4. The method of claim 1, wherein the step of determining the position of the substrate comprises,
The second bus bar C g2 includes: archimedes spiral C 2 and modified arc r 2;
The corrected arc r 1 and the corrected arc r 2 are centrosymmetric curves with respect to the origin O, and the archimedes spiral C 1 and the archimedes spiral C 2 are centrosymmetric curves with respect to the origin O; the Archimedes spiral C 2 and the correction arc r 2 are connected smoothly at the correction point B in a first order;
thus, the archimedes spiral C 2 equation is:
Center E (x m2,ym2) of corrected arc r 2:
The curve equation for BO in the corrected arc r 2 is:
wherein, x m2 and y m2 are respectively the x-axis coordinate and the y-axis coordinate of the point E of the circle center of the corrected arc, Is the curve angle of the modified arc.
5. The method according to claim 1, wherein the steps S02 and S03 are performed in an interchangeable order.
6. The method according to claim 1, wherein the equation obtained in step S05 is as follows:
The curve equation of the outer side of the static vortex tooth is as follows:
The inner side curve equation of the static vortex tooth is as follows:
The outside curve equation of the movable vortex teeth is:
the inner side curve equation of the movable vortex teeth is as follows:
wherein, subscript f represents the fixed scroll teeth, subscript m represents the movable scroll teeth, subscript 1 represents the first section of scroll teeth profile, subscript 2 represents the second section of scroll teeth profile, subscript i represents the scroll teeth inner wall profile, and subscript o represents the scroll teeth outer wall profile. The molded line of the movable vortex teeth is generated by the molded line of the outer wall of the movable vortex teeth and the molded line of the inner wall of the movable vortex teeth, and the molded line of the fixed vortex teeth is generated by the molded line of the outer wall of the fixed vortex teeth and the molded line of the inner wall of the fixed vortex teeth.
7. A method according to claim 1 and 4, characterized in that,
The first order smooth connection at correction point a includes: the Archimedes spiral C 1 and the correction arc r 1 are continuous in position at the correction point A and continuous in slope;
the first order smooth connection at correction point B includes: the archimedes spiral C 2 and the correction arc r 2 are continuous in position at the correction point B and continuous in slope.
8. A scroll compressor wrap obtained using any one of claims 1 to 6.
9. A scroll compressor or scroll expander using the scroll wrap of claim 8.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN119004662A (en) * | 2024-08-05 | 2024-11-22 | 宁夏大学 | Wall thickness variable vortex tooth design method for vortex compressor |
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| CN119004662A (en) * | 2024-08-05 | 2024-11-22 | 宁夏大学 | Wall thickness variable vortex tooth design method for vortex compressor |
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