Design method of variable-wall-thickness multi-scroll-tooth based on logarithmic spiral and multi-scroll-tooth

Abstract

The invention discloses a design method of a variable-wall-thickness multi-scroll wrap based on a logarithmic spiral. The design method comprises the following steps: S1, constructing a logarithmic molded line equation; S2, performing revolution translation by using a rotation radius Ror to construct an envelope line, wherein the envelope line equation is as follows: S3, constructing an inner and outer wall molded line equation of a movable scroll wrap and a static scroll wrap by using the logarithmic spiral; and S4, constructing a generatrix equation of a molded line of the multi-scroll wrap. The invention relates to a logarithmic spiral-based gradual-change wall thickness multi-scroll-wrap design method, which effectively solves the problems that the multi-scroll-wrap generation rule is complicated and the meshing relationship is difficult to coordinate, provides a systematic theoretical basis for the design of the multi-scroll-wrap, and provides a new solution for the comprehensive improvement of the performance of a scroll compressor. The method has a wide application prospect and an important engineering value.

Description

Technical Field

[0001] The present invention relates to the technical field of compressors, and particularly to a design method and multi-vortex teeth of variable wall thickness multi-vortex teeth based on logarithmic spiral. Background Art

[0002] Scroll compressors have been widely used in the fields of air conditioners, new energy vehicles, vacuum pumps, various gas compressions, and refrigeration due to their significant advantages such as high volumetric efficiency, compact structure, low vibration and noise, and high energy efficiency. As the core components of scroll compressors, the number of moving and static scroll teeth is closely related to the suction volume, the relative sliding speed between the scroll teeth, and the fluctuation amplitude of the gas force on the scroll teeth. Therefore, the research on multi-vortex teeth is particularly important.

[0003] However, the current research on scroll teeth mainly focuses on single scroll teeth, and the research on multi-vortex teeth is very rare. The main reason is that the generation law and meshing relationship of multi-vortex teeth are relatively complex, and the design method of single scroll teeth cannot be applied to the construction of multi-vortex teeth. Summary of the Invention

[0004] In view of this, it is necessary to provide a design method of variable wall thickness multi-vortex teeth based on logarithmic spiral, which provides a new method and multi-vortex teeth for improving the overall performance of scroll compressors.

[0005] A design method of variable wall thickness multi-vortex teeth based on logarithmic spiral includes the following steps:

[0006] Step S1: Construct a logarithmic curve equation:

[0007]

[0008] In the formula, r 0 is the starting circle radius, is the spiral polar angle, is the terminal polar angle, and both e and k are constants;

[0009] Step S2: Use the revolution radius R or to make a revolution and translation to construct an envelope line, and the envelope line equation is:

[0010]

[0011] In the formula, ζ is the envelope parameter, that is

[0012]

[0013] Step S3: Use the logarithmic spiral to construct the inner and outer wall curve equations of the moving and static scroll teeth:

[0014]

[0015] In the formula, when taking "+", it represents the moving scroll tooth, and when taking "-", it represents the stationary scroll tooth. i and o respectively represent the inner and outer walls of the scroll tooth. λ is a constant. When the subscript is i, the value of λ is 2, and when the subscript is o, the value of λ is 1;

[0016] Step S4: Construct the generatrix equation of the multi-scroll tooth profile:

[0017]

[0018] In the formula, j = 1, 2, 3,..., n, respectively representing the 1st, 2nd, 3rd,..., nth generatrices. The subscripts m and f respectively represent the moving and stationary scroll teeth, Z m is the number of teeth of the moving scroll tooth, Z f is the number of teeth of the stationary scroll tooth.

[0019] Beneficial effects: The present invention designs a scroll tooth with a gradually changing wall thickness using a logarithmic spiral, effectively solving the technical bottleneck of overly relying on algebraic spirals and variable-diameter base circle involutes to construct scroll teeth with a gradually changing wall thickness in traditional designs, providing more options for the design of scroll teeth with a gradually changing wall thickness.

[0020] Aiming at the technical problems in the design of multi-scroll teeth in scroll compressors, the present invention proposes a design method for multi-scroll teeth with a gradually changing wall thickness based on a logarithmic spiral, effectively solving the problems of complex generation laws and difficult-to-coordinate meshing relationships of multi-scroll teeth. It not only provides a systematic theoretical basis for the design of multi-scroll teeth, but also provides a new solution for comprehensively improving the performance of scroll compressors, having broad application prospects and important engineering value.

[0021] The multi-scroll teeth with a gradually changing wall thickness designed by the present invention greatly increase the number of compression chambers, which not only enables the scroll compressor to have a larger air intake and a more stable compression process, but also effectively reduces the vibration and impact between the scroll teeth, providing important support for improving the overall performance of the scroll compressor. Brief Description of the Drawings

[0022] Figure 1 It is a schematic diagram of a stationary double-scroll tooth with a gradually decreasing wall thickness. Among them, 11 is the inner wall profile of the first stationary scroll tooth, and 12 is the outer wall profile of the first stationary scroll tooth; 21 is the inner wall profile of the second stationary scroll tooth, and 22 is the outer wall profile of the second stationary scroll tooth.

[0023] Figure 2 It is a schematic diagram of a moving double-scroll tooth with a gradually decreasing wall thickness. Among them, 31 is the inner wall profile of the first moving scroll tooth, and 32 is the outer wall profile of the first moving scroll tooth; 41 is the inner wall profile of the second moving scroll tooth, and 42 is the outer wall profile of the second moving scroll tooth.

[0024] Figure 3Schematic diagram of the meshing of variable-wall-thickness static and dynamic double scroll teeth with gradually decreasing wall thickness, where 1 is the first static scroll tooth with variable wall thickness, 2 is the second static scroll tooth with variable wall thickness, 3 is the first dynamic scroll tooth with variable wall thickness, and 4 is the second dynamic scroll tooth with variable wall thickness.

[0025] Figure 4 Schematic diagram of the static double scroll teeth with variable wall thickness and gradually increasing wall thickness. Among them, 11 is the inner wall profile of the first static scroll tooth, and 12 is the outer wall profile of the first static scroll tooth; 21 is the inner wall profile of the second static scroll tooth, and 22 is the outer wall profile of the second static scroll tooth.

[0026] Figure 5 Schematic diagram of the dynamic double scroll teeth with variable wall thickness and gradually increasing wall thickness. Among them, 31 is the inner wall profile of the first dynamic scroll tooth, and 32 is the outer wall profile of the first dynamic scroll tooth; 41 is the inner wall profile of the second dynamic scroll tooth, and 42 is the outer wall profile of the second dynamic scroll tooth.

[0027] Figure 6 Schematic diagram of the meshing of variable-wall-thickness static and dynamic double scroll teeth with gradually increasing wall thickness, where 1 is the first static scroll tooth with variable wall thickness, 2 is the second static scroll tooth with variable wall thickness, 3 is the first dynamic scroll tooth with variable wall thickness, and 4 is the second dynamic scroll tooth with variable wall thickness.

[0028] Figure 7 Schematic diagram of the static triple scroll teeth with variable wall thickness and gradually decreasing wall thickness. Among them, 51 is the inner wall profile of the first static scroll tooth, 52 is the outer wall profile of the first static scroll tooth; 61 is the inner wall profile of the second static scroll tooth, 62 is the outer wall profile of the second static scroll tooth; 71 is the inner wall profile of the third static scroll tooth, 72 is the outer wall profile of the third static scroll tooth.

[0029] Figure 8 Schematic diagram of the dynamic triple scroll teeth with variable wall thickness and gradually decreasing wall thickness. Among them, 81 is the inner wall profile of the first dynamic scroll tooth, 82 is the outer wall profile of the first dynamic scroll tooth; 91 is the inner wall profile of the second dynamic scroll tooth, 92 is the outer wall profile of the second dynamic scroll tooth; 101 is the inner wall profile of the third dynamic scroll tooth, 102 is the outer wall profile of the third dynamic scroll tooth.

[0030] Figure 9 Schematic diagram of the meshing of variable-wall-thickness static and dynamic triple scroll teeth with gradually decreasing wall thickness. Among them, 5 is the first static scroll tooth with variable wall thickness, 6 is the second static scroll tooth with variable wall thickness, 7 is the third static scroll tooth with variable wall thickness, 8 is the first dynamic scroll tooth with variable wall thickness, 9 is the second dynamic scroll tooth with variable wall thickness, and 10 is the third dynamic scroll tooth with variable wall thickness.

[0031] Figure 10Schematic diagram of a stationary triple-scroll tooth with a gradually increasing wall thickness. Among them, 51 is the inner wall profile of the first stationary scroll tooth, 52 is the outer wall profile of the first stationary scroll tooth; 61 is the inner wall profile of the second stationary scroll tooth, 62 is the outer wall profile of the second stationary scroll tooth; 71 is the inner wall profile of the third stationary scroll tooth, 72 is the outer wall profile of the third stationary scroll tooth.

[0032] Figure 11 Schematic diagram of a rotating triple-scroll tooth with a gradually increasing wall thickness. Among them, 81 is the inner wall profile of the first rotating scroll tooth, 82 is the outer wall profile of the first rotating scroll tooth; 91 is the inner wall profile of the second rotating scroll tooth, 92 is the outer wall profile of the second rotating scroll tooth; 101 is the inner wall profile of the third rotating scroll tooth, 102 is the outer wall profile of the third rotating scroll tooth.

[0033] Figure 12 Schematic diagram of the meshing of stationary and rotating triple-scroll teeth with a gradually increasing wall thickness. Among them, 5 is the first stationary scroll tooth with a gradually increasing wall thickness, 6 is the second stationary scroll tooth with a gradually increasing wall thickness, 7 is the third stationary scroll tooth with a gradually increasing wall thickness, 8 is the first rotating scroll tooth with a gradually increasing wall thickness, 9 is the second rotating scroll tooth with a gradually increasing wall thickness, 10 is the third rotating scroll tooth with a gradually increasing wall thickness. Detailed implementation method

[0034] In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the following will briefly introduce the drawings required for the embodiments. Obviously, the drawings in the following description are some embodiments of the present invention. For those of ordinary skill in the art, without creative efforts, other drawings can also be obtained based on these drawings.

[0035] It should be noted that the first rotating / stationary scroll tooth, the second rotating / stationary scroll tooth, and the third rotating / stationary scroll tooth described below refer to the same compressor. If the compressor is a double-scroll tooth, then there are only the first and second rotating / stationary scroll teeth. If the compressor is a triple-scroll tooth, then there are the first, second, and third rotating / stationary scroll teeth.

[0036] The design method of variable wall thickness multi-scroll teeth based on logarithmic spiral includes the following steps:

[0037] Step S1: Construct a logarithmic profile equation:

[0038]

[0039] In the formula, r 0 is the starting circle radius, is the spiral polar angle, is the terminal polar angle, and both e and k are constants;

[0040] Step S2: With a rotational radius R orConstruct the envelope by means of revolution and translation. The equation of the envelope is as follows:

[0041]

[0042] In the formula, ζ is the envelope parameter, that is

[0043]

[0044] Step S3: Construct the inner and outer wall profile equations of the moving and stationary scroll teeth with logarithmic spiral:

[0045]

[0046] In the formula, when taking "+", it represents the moving scroll tooth, and when taking "-", it represents the stationary scroll tooth. i and o respectively represent the inner and outer walls of the scroll tooth. λ is a constant. When the subscript is i, the value of λ is 2, and when the subscript is o, the value of λ is 1;

[0047] Step S4: Construct the generatrix equation of the multi-scroll tooth profile:

[0048]

[0049] In the formula, j = 1, 2, 3,..., n, respectively representing the 1st, 2nd, 3rd,..., nth generatrices. The subscripts m and f respectively represent the moving and stationary scroll teeth, Z m is the number of teeth of the moving scroll tooth, Z f is the number of teeth of the stationary scroll tooth.

[0050] In step S2, the envelope parameter ζ is obtained through the following formula:

[0051]

[0052] In step S4, the generatrix equation of the multi-scroll tooth profile is constructed by combining formulas (1) to (4) with the working principle of the scroll compressor of the compressor.

[0053] After the envelope equation and the generatrix equation of the scroll tooth are determined, the inner and outer wall profile equations of the multi-scroll tooth can be obtained, thereby obtaining the corresponding multi-scroll tooth. Taking the double-scroll tooth and triple-scroll tooth with gradually changing wall thickness as examples for illustration.

[0054] If the moving and stationary scroll teeth of the double teeth are to be constructed, then Z m = 2, Z f = 2. According to (1) to (5), the first generatrix is used as the inner wall profile of the first stationary scroll tooth, and its equation is:

[0055]

[0056] The envelope of the fourth generatrix is used as the outer wall profile of the first stationary scroll tooth, and its equation is:

[0057]

[0058] Take the second bus bar as the inner wall profile of the first moving scroll tooth, and its equation is:

[0059]

[0060] Take the envelope of the first bus bar as the outer wall profile of the first moving scroll tooth, and its equation is:

[0061]

[0062] Take the third bus bar as the inner wall profile of the second stationary scroll tooth, and its equation is:

[0063]

[0064] Take the envelope of the second bus bar as the outer wall profile of the second stationary scroll tooth, and its equation is:

[0065]

[0066] Take the fourth bus bar as the inner wall profile of the second moving scroll tooth, and its equation is:

[0067]

[0068] Take the envelope of the third bus bar as the outer wall profile of the second moving scroll tooth, and its equation is:

[0069]

[0070] When the constant k < 1, as Figure 1 shown, according to equations (7)-(8), the first stationary scroll tooth with a gradually decreasing wall thickness is obtained, and according to equations (11)-(12), the second stationary scroll tooth with a gradually decreasing wall thickness is obtained. As Figure 2 shown, according to equations (9)-(10), the first moving scroll tooth with a gradually decreasing wall thickness is obtained, and according to equations (13)-(14), the second moving scroll tooth with a gradually decreasing wall thickness is obtained. The schematic diagram of the meshing of the gradually changing wall thickness dynamic and static double scroll teeth with a gradually decreasing wall thickness is constructed, as Figure 3 shown.

[0071] When the constant k > 1, according to equations (7)-(8), the first stationary scroll tooth with a gradually increasing wall thickness is obtained, and according to equations (11)-(12), the second stationary scroll tooth with a gradually increasing wall thickness is obtained, as Figure 4 shown. According to equations (9)-(10), the first moving scroll tooth with a gradually increasing wall thickness is obtained, and according to equations (13)-(14), the second moving scroll tooth with a gradually increasing wall thickness is obtained, as Figure 5As shown in the figure, a schematic diagram of the meshing of a dynamic and static double scroll tooth with a gradually increasing wall thickness is constructed as follows: Figure 6 As shown.

[0072] If a dynamic and static scroll tooth with three teeth is to be constructed, then Z m = 3, Z f = 3. According to equations (1) to (5), taking the first busbar as the inner wall profile of the first static scroll tooth, its equation is:

[0073]

[0074] Taking the envelope of the sixth busbar as the outer wall profile of the first static scroll tooth, its equation is:

[0075]

[0076] Taking the second busbar as the inner wall profile of the first dynamic scroll tooth, its equation is:

[0077]

[0078] Taking the envelope of the first busbar as the outer wall profile of the first dynamic scroll tooth, its equation is:

[0079]

[0080] Taking the third busbar as the inner wall profile of the second static scroll tooth, its equation is:

[0081]

[0082] Taking the envelope of the second busbar as the outer wall profile of the second static scroll tooth, its equation is:

[0083]

[0084] Taking the fourth busbar as the inner wall profile of the second dynamic scroll tooth, its equation is:

[0085]

[0086] Taking the envelope of the third busbar as the outer wall profile of the second dynamic scroll tooth, its equation is:

[0087]

[0088] Taking the fifth busbar as the inner wall profile of the third static scroll tooth, its equation is:

[0089]

[0090] Taking the envelope of the fourth busbar as the outer wall profile of the third static scroll tooth, its equation is:

[0091]

[0092] Take the sixth bus bar as the inner wall profile of the third moving scroll tooth, and its equation is:

[0093]

[0094] Take the envelope of the fifth bus bar as the outer wall profile of the third moving scroll tooth, and its equation is:

[0095]

[0096] When the constant k < 1, the first stationary scroll tooth with gradually decreasing wall thickness is obtained according to Equations (15) - (16), the second stationary scroll tooth with gradually decreasing wall thickness is obtained according to Equations (19) - (20), and the third stationary scroll tooth with gradually decreasing wall thickness is obtained according to Equations (23) - (24), as Figure 7 shown. The first moving scroll tooth with gradually decreasing wall thickness is obtained according to Equations (17) - (18), the second moving scroll tooth with gradually decreasing wall thickness is obtained according to Equations (21) - (22), and the third moving scroll tooth with gradually decreasing wall thickness is obtained according to Equations (25) - (26), as Figure 8 shown. The schematic diagram of the meshing of the gradually variable wall thickness stationary and moving three-scroll teeth with gradually decreasing wall thickness is constructed, as Figure 9 shown.

[0097] When the constant k > 1, the first stationary scroll tooth with gradually increasing wall thickness is obtained according to Equations (15) - (16), the second stationary scroll tooth with gradually increasing wall thickness is obtained according to Equations (19) - (20), and the third stationary scroll tooth with gradually increasing wall thickness is obtained according to Equations (23) - (24), as Figure 10 shown. The first moving scroll tooth with gradually increasing wall thickness is obtained according to Equations (17) - (18), the second moving scroll tooth with gradually increasing wall thickness is obtained according to Equations (21) - (22), and the third moving scroll tooth with gradually increasing wall thickness is obtained according to Equations (25) - (26), as Figure 11 shown. The schematic diagram of the meshing of the gradually variable wall thickness stationary and moving three-scroll teeth with gradually increasing wall thickness is constructed, as Figure 12 shown.

[0098] Similarly, according to the above theory, multi-scroll teeth with gradually variable wall thickness of four teeth, five teeth and more teeth can be constructed.

[0099] What is disclosed above is only the preferred embodiment of the present invention. Of course, the scope of the rights of the present invention cannot be limited thereby. Those of ordinary skill in the art can understand the entire or part of the processes of implementing the above embodiments, and the equivalent changes made according to the claims of the present invention still fall within the scope covered by the invention.

Claims

1. A design method for variable wall thickness multi-scroll gear based on logarithmic spiral, characterized by: The following steps are involved: Step S1: Construct the logarithmic line equation: In the formula, r0 is the radius of the starting circle, is the spiral polar angle, is the terminal polar angle, e and k are constants; Step S2: With the radius of gyration R or The envelope is constructed by revolution and translation. The envelope equation is: In the formula, ζ is the envelope parameter, that is, Step S3: Construct the inner and outer wall profile equations of the dynamic and static scroll teeth using logarithmic spirals: In the formula, "+" represents the orbiting scroll, and "-" represents the static scroll. i and o represent the inner and outer walls of the scroll, respectively. λ is a constant. When the subscript is i, λ is 2, and when the subscript is o, λ is 1; Step S4: Construct the generatrix equation of the multi-scroll tooth profile: Where, j = 1, 2, 3, ..., n, respectively, represents the 1st, 2nd, 3rd, ..., nth busbars, subscripts m and f represent the dynamic and static scroll teeth, respectively, Z m is the number of teeth of the orbiting scroll, Z f is the number of teeth on the static scroll.

2. The design method of a variable wall thickness multi-scroll tooth based on a logarithmic spiral as claimed in claim 1, characterized in that: In step S2, the envelope parameter ζ is obtained by the following formula:

3. A multi-scroll gear, characterized in that: It is a double scroll gear; The inner wall profile equation of the first static scroll of the double scroll is: The outer wall profile equation of the first static scroll of the double scroll is: The inner wall profile equation of the first movable scroll of the double scroll is: The outer wall profile equation of the first movable scroll of the double scroll is: The inner wall profile equation of the second static scroll of the double scroll is: The outer wall profile equation of the second static scroll of the double scroll is: The inner wall profile equation of the second movable scroll of the double scroll is: The outer wall profile equation of the second movable scroll of the double scroll is:

4. A multi-scroll gear, characterized in that: It is a three-scroll gear; The inner wall profile of the first static scroll of the three scrolls is as follows: The equation of the outer wall profile of the first static scroll of the three scrolls is: The inner wall profile of the first movable scroll of the three scrolls is as follows: The equation of the outer wall profile of the first movable scroll of the three scrolls is: The inner wall profile of the second static scroll of the three-scroll scroll is as follows: The equation of the outer wall profile of the second static scroll of the three-scroll scroll is: The inner wall profile of the second movable scroll of the three scrolls is as follows: The equation of the outer wall profile of the second movable scroll of the three scrolls is: The inner wall profile of the third static scroll of the three-scroll scroll has the following equation: The outer wall profile of the third static scroll of the three-scroll scroll is as follows: The inner wall profile of the third movable scroll of the three scrolls is as follows: The outer wall profile of the third movable scroll of the three scrolls is as follows:

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