A Design Method for Scroll Compressor Scroll Teeth with Variable Wall Thickness

Abstract

The present invention provides a design method for variable-wall-thickness scroll teeth of a scroll compressor, which relates to the technical field of compressors. The method includes: constructing a main generatrix of the scroll teeth using a general profile, and determining the profile equation of the main generatrix; obtaining a secondary generatrix which is the central symmetry curve of the main generatrix; determining the profile equation of the secondary generatrix according to the profile equation of the main generatrix; establishing stationary and moving scroll teeth with the same tooth profile according to the profile equation of the main generatrix and the profile equation of the secondary generatrix; establishing stationary and moving scroll teeth with different tooth profiles according to the profile equation of the main generatrix; performing tooth tip reconstruction on the stationary and moving scroll teeth with the same tooth profile and the stationary and moving scroll teeth with different tooth profiles to obtain the meshing of the stationary and moving scroll teeth with the same tooth profile and the meshing of the stationary and moving scroll teeth with different tooth profiles. According to the present invention, a new variable-wall-thickness scroll tooth can be designed only by using a single general profile, and at the same time, stationary and moving scroll teeth with the same tooth profile and stationary and moving scroll teeth with different tooth profiles are established, enriching the types of existing variable-wall-thickness scroll teeth.

Description

Technical Field

[0001] The present invention relates to the technical field of compressors, and in particular to a design method for variable wall thickness scroll teeth of a scroll compressor. Background Art

[0002] In the current related technologies, the traditional variable wall thickness profile is composed of multiple segments of curves. Although the compression ratio is high, there are defects that the curves at the connection points cannot be smoothly connected, the heat transfer process is complex and variable, and processing and measurement are relatively difficult.

[0003] The information disclosed in the background art section of this application is only intended to deepen the understanding of the general background art of this application, and should not be regarded as an admission or any form of suggestion that this information constitutes the prior art known to those skilled in the art. Summary of the Invention

[0004] The present invention provides a design method for variable wall thickness scroll teeth of a scroll compressor, which can solve the technical problems that the curves at the connection points cannot be smoothly connected, the heat transfer process is complex and variable, and processing and measurement are relatively difficult.

[0005] According to the present invention, there is provided a design method for variable wall thickness scroll teeth of a scroll compressor, including: using a general profile to construct the main generatrix of the scroll teeth, and determining the profile equation of the main generatrix; obtaining the secondary generatrix which is the central symmetric curve of the main generatrix; determining the profile equation of the secondary generatrix according to the profile equation of the main generatrix; establishing the fixed and moving scroll teeth with the same tooth profile according to the profile equation of the main generatrix and the profile equation of the secondary generatrix; establishing the fixed and moving scroll teeth with different tooth profiles according to the profile equation of the main generatrix; performing tooth head reconstruction on the fixed and moving scroll teeth with the same tooth profile and the fixed and moving scroll teeth with different tooth profiles to obtain the meshing of the fixed and moving scroll teeth with the same tooth profile and the meshing of the fixed and moving scroll teeth with different tooth profiles.

[0006] According to the present invention, using a general profile to construct the main generatrix of the scroll teeth and determining the profile equation of the main generatrix includes: according to the formula determining the profile equation G1 of the main generatrix, where R s is the eccentric radius, R g is the radius of the center line of the scroll teeth, is the profile expansion angle, is the coordinate of any point on the main generatrix, and C0, C1 and C2 are all constants.

[0007] According to the present invention, determining the profile equation of the secondary generatrix according to the profile equation of the main generatrix includes: according to the formula determining the profile equation G2 of the secondary generatrix, where is the coordinate of any point on the secondary generatrix.

[0008] According to the present invention, based on the profile equation of the main bus bar and the profile equation of the secondary bus bar, static and dynamic scroll teeth with the same tooth profile are established, including: equally spacing the main bus bar in the inward normal direction equally spacing the secondary bus bar in the outward normal direction equally spacing the main bus bar in the outward normal direction equally spacing the secondary bus bar in the inward normal direction obtaining the outer wall profile of the first static scroll tooth, the inner wall profile of the first static scroll tooth, the inner wall profile of the first dynamic scroll tooth, and the outer wall profile of the first dynamic scroll tooth, where R or is the radius of rotation; based on the outer wall profile of the first static scroll tooth, the inner wall profile of the first static scroll tooth, the inner wall profile of the first dynamic scroll tooth, and the outer wall profile of the first dynamic scroll tooth, static and dynamic scroll teeth with the same tooth profile are established.

[0009] According to the present invention, equally spacing the main bus bar in the inward normal direction equally spacing the secondary bus bar in the outward normal direction equally spacing the main bus bar in the outward normal direction equally spacing the secondary bus bar in the inward normal direction obtaining the outer wall profile of the first static scroll tooth, the inner wall profile of the first static scroll tooth, the inner wall profile of the first dynamic scroll tooth, and the outer wall profile of the first dynamic scroll tooth, including: according to the formula

[0010] obtaining the outer wall profile P1 of the first static scroll tooth, the inner wall profile P2 of the first static scroll tooth, the inner wall profile P3 of the first dynamic scroll tooth, and the outer wall profile P4 of the first dynamic scroll tooth, where is the coordinate of any point on the outer wall profile of the first static scroll tooth, is the coordinate of any point on the inner wall profile of the first static scroll tooth, is the coordinate of any point on the inner wall profile of the first dynamic scroll tooth, is the coordinate of any point on the outer wall profile of the first dynamic scroll tooth.

[0011] According to the present invention, based on the profile equation of the main bus bar, static and dynamic scroll teeth with different tooth profiles are established, including: taking the main bus bar as the outer wall profile P5 of the second static scroll tooth; the normal distance between the inner wall profile of the second dynamic scroll tooth and the outer wall profile of the second static scroll tooth is the radius of rotation; according to the formula obtaining the inner wall profile P6 of the second dynamic scroll tooth, where is the coordinate of any point on the inner wall profile of the second dynamic scroll tooth; setting a dynamic scroll tooth with an equal wall thickness of T, where T is a constant; according to the formula obtaining the outer wall profile P7 of the second dynamic scroll tooth, where is the coordinate of any point on the outer wall profile line of the second moving scroll tooth, and R or is the radius of rotation; the normal distance between the inner wall profile line of the second stationary scroll tooth and the outer wall profile line of the second moving scroll tooth is the radius of rotation; according to the formula the inner wall profile line P8 of the second stationary scroll tooth is obtained, where is the coordinate of any point on the inner wall profile line of the second stationary scroll tooth; according to the outer wall profile line of the second stationary scroll tooth, the inner wall profile line of the second moving scroll tooth, the outer wall profile line of the second moving scroll tooth, and the inner wall profile line of the second stationary scroll tooth, stationary and moving scroll teeth with different tooth profiles are established.

[0012] According to the present invention, the steps of reconstructing the tooth head include: constructing reconstruction arc 1 and reconstruction arc 2 according to the continuity condition of the curve between the inner wall profile line of the scroll tooth and reconstruction arc 1, and the outer wall profile line and reconstruction arc 2, and the difference in the radius of curvature of reconstruction arc 1 and reconstruction arc 2 at any point being equal to the radius of rotation, where the reconstruction arc 1 includes the stationary scroll tooth reconstruction arc 1 and the moving scroll tooth reconstruction arc 1, and the reconstruction arc 2 includes the stationary scroll tooth reconstruction arc 2 and the moving scroll tooth reconstruction arc 2; obtaining the starting angles of the stationary scroll tooth reconstruction arc 2 and the moving scroll tooth reconstruction arc 1, the starting angles of the stationary scroll tooth reconstruction arc 1 and the moving scroll tooth reconstruction arc 2, the normal distances between the stationary scroll tooth reconstruction arc 2 and the moving scroll tooth reconstruction arc 1, the normal distances between the stationary scroll tooth reconstruction arc 1 and the moving scroll tooth reconstruction arc 2, the relative angles between the stationary scroll tooth reconstruction arc 2 and the moving scroll tooth reconstruction arc 1, and the relative angles between the stationary scroll tooth reconstruction arc 1 and the moving scroll tooth reconstruction arc 2, where the starting angle is the starting angle of the inner wall profile line of the stationary and moving scroll teeth, the normal distance is the normal distance between the profile line of the stationary and moving scroll teeth and the center of curvature of the correction curve at the connection point, and the relative angle is the relative angle between the geometric curve symmetry axis and the horizontal axis; obtaining the equations of the stationary scroll tooth reconstruction arc 1, the stationary scroll tooth reconstruction arc 2, the moving scroll tooth reconstruction arc 1, and the moving scroll tooth reconstruction arc 2 according to the starting angle, the normal distance, and the relative angle; and performing the tooth head reconstruction according to the equations of the stationary scroll tooth reconstruction arc 1, the stationary scroll tooth reconstruction arc 2, the moving scroll tooth reconstruction arc 1, and the moving scroll tooth reconstruction arc 2.

[0013] According to the present invention, obtaining the equations of the stationary scroll tooth reconstruction arc 1, the stationary scroll tooth reconstruction arc 2, the moving scroll tooth reconstruction arc 1, and the moving scroll tooth reconstruction arc 2 according to the starting angle, the normal distance, and the relative angle includes: according to the formula

[0014]

[0015] Obtain the equation I1 of the reconstructed arc 1 of the stationary scroll tooth, the equation I2 of the reconstructed arc 2 of the stationary scroll tooth, the equation J1 of the reconstructed arc 1 of the moving scroll tooth, and the equation J2 of the reconstructed arc 2 of the moving scroll tooth, where, and are the design radii, and are the radii of curvature, γ1 is the starting angle of the reconstructed arc 2 of the stationary scroll tooth and the reconstructed arc 1 of the moving scroll tooth, γ2 is the starting angle of the reconstructed arc 1 of the stationary scroll tooth and the reconstructed arc 2 of the moving scroll tooth, σ1 is the normal distance between the reconstructed arc 2 of the stationary scroll tooth and the reconstructed arc 1 of the moving scroll tooth, σ2 is the normal distance between the reconstructed arc 1 of the stationary scroll tooth and the reconstructed arc 2 of the moving scroll tooth, ζ1 is the relative angle between the reconstructed arc 2 of the stationary scroll tooth and the reconstructed arc 1 of the moving scroll tooth, ζ2 is the relative angle between the reconstructed arc 1 of the stationary scroll tooth and the reconstructed arc 2 of the moving scroll tooth, R or is the radius of gyration, is the coordinate of any point on the reconstructed arc 1 of the stationary scroll tooth, is the coordinate of any point on the reconstructed arc 2 of the stationary scroll tooth, is the coordinate of any point on the reconstructed arc 1 of the moving scroll tooth, is the coordinate of any point on the reconstructed arc 2 of the moving scroll tooth, ρ1, ρ2 and (x j , y j ) are constants obtained according to the conjugate relationship and the continuity condition, and j is 1 or 2.

[0016] Technical effects: According to the present invention, a new variable-wall-thickness scroll tooth is designed only by using a single general-purpose curve, which not only simplifies the design process of the curve, ensures the continuity of the curve, but also reduces the problem of re-planning the tool path and cutter path due to different curve types during the machining process, effectively breaking through the limitation that only the combined curve can be used to construct the variable-wall-thickness scroll tooth in the traditional curve design. At the same time, by establishing the fixed and moving scroll teeth with the same tooth profile and different tooth profiles, the types of existing variable-wall-thickness scroll teeth are enriched. Among them, both the fixed and moving scroll teeth with the same tooth profile have variable wall thickness, breaking through the limitation that a single curve can only form an equal-wall-thickness scroll tooth, while the fixed and moving scroll teeth with different tooth profiles (i.e., the moving scroll tooth has an equal wall thickness and the fixed scroll tooth has a variable wall thickness) play a role in improving the mechanical performance of the whole scroll compressor due to their smaller mass. When determining the curve equation of the main generatrix, the curve equation of the main generatrix can be determined based on the changes in the radius of the scroll tooth center line, the eccentric radius, and the curve expansion angle of the scroll tooth, which can adapt to different working conditions and performance requirements, improve the scientificity and accuracy of the curve equation of the main generatrix, and provide data support for subsequent designs. When determining the curve equation of the secondary generatrix, the curve equation of the secondary generatrix can be determined by performing a central symmetry transformation on each point of the main generatrix, improving the scientificity and accuracy of the curve equation of the secondary generatrix, and providing data support for subsequent designs. When establishing the fixed and moving scroll teeth with the same tooth profile, the outer wall curve of the first fixed scroll tooth, the inner wall curve of the first fixed scroll tooth, the inner wall curve of the first moving scroll tooth, and the outer wall curve of the first moving scroll tooth can be obtained by moving the main and secondary generatrices equidistantly in the inner and outer normal directions, establishing the fixed and moving scroll teeth with the same tooth profile, and the scroll teeth all have variable wall thickness, breaking through the limitation that a single curve can only form an equal-wall-thickness scroll tooth, which helps to improve the design efficiency and accuracy, and at the same time provides a clear framework for subsequent analysis and optimization. When establishing the fixed and moving scroll teeth with different tooth profiles, the outer wall curve of the second fixed scroll tooth, the inner wall curve of the second moving scroll tooth, the outer wall curve of the second moving scroll tooth, and the inner wall curve of the second fixed scroll tooth can be obtained based on the normal distance between the inner wall curve of the second moving scroll tooth and the outer wall curve of the second fixed scroll tooth, and the normal distance between the inner wall curve of the second fixed scroll tooth and the outer wall curve of the second moving scroll tooth being equal to the rotation radius, establishing the fixed and moving scroll teeth with different tooth profiles, and the moving scroll tooth has an equal wall thickness and the fixed scroll tooth has a variable wall thickness, which helps to improve the mechanical performance of the whole scroll compressor. When performing tooth head reconstruction, the equations of the reconstructed arc 1 of the fixed scroll tooth, the reconstructed arc 2 of the fixed scroll tooth, the reconstructed arc 1 of the moving scroll tooth, and the reconstructed arc 2 of the moving scroll tooth can be obtained based on the starting angle, the normal distance, and the relative angle, so as to reconstruct the tooth heads of the fixed and moving scroll teeth under the conditions of meeting the continuity condition and the curvature radius condition of the curve, which can improve the mechanical performance of the scroll tooth and enhance the strength at the tooth head of the scroll tooth.

[0017] It should be understood that the above general description and the following detailed description are merely exemplary and explanatory, rather than limiting the present invention. Other features and aspects of the present invention will become clearer from the following detailed description of exemplary embodiments with reference to the accompanying drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0018] In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the accompanying drawings required for use in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only some embodiments of the present invention. For those of ordinary skill in the art, without creative efforts, other embodiments can also be obtained based on these drawings.

[0019] Figure 1 Exemplarily shown is a schematic flow diagram of a design method for variable wall thickness scroll teeth of a scroll compressor according to an embodiment of the present invention;

[0020] Figure 2 Exemplarily shown are a stationary scroll tooth and a moving scroll tooth with the same tooth profile according to an embodiment of the present invention;

[0021] Figure 3 Exemplarily shown are a stationary scroll tooth and a moving scroll tooth with different tooth profiles according to an embodiment of the present invention;

[0022] Figure 4 Exemplarily shown is a schematic diagram of tooth head reconstruction according to an embodiment of the present invention;

[0023] Figure 5 Exemplarily shown is an engagement diagram of a stationary scroll tooth and a moving scroll tooth with the same tooth profile according to an embodiment of the present invention;

[0024] Figure 6 Exemplarily shown is an engagement diagram of a stationary scroll tooth and a moving scroll tooth with different tooth profiles according to an embodiment of the present invention. DETAILED DESCRIPTION OF THE EMBODIMENTS

[0025] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some embodiments of the present invention, rather than all of them. All other embodiments obtained by those of ordinary skill in the art without creative efforts based on the embodiments of the present invention belong to the scope of protection of the present invention.

[0026] The following will detail the technical solutions of the present invention with specific embodiments. These specific embodiments can be combined with each other, and the same or similar concepts or processes may not be repeated in some embodiments.

[0027] Figure 1A schematic flow chart of a method for designing a scroll tooth with variable wall thickness of a scroll compressor according to an embodiment of the present invention is exemplarily shown. The method includes: Step S101, using a general profile to construct the main generatrix of the scroll tooth and determining the profile equation of the main generatrix; Step S102, obtaining the secondary generatrix which is the central symmetry curve of the main generatrix; Step S103, determining the profile equation of the secondary generatrix according to the profile equation of the main generatrix; Step S104, establishing a fixed scroll tooth and a moving scroll tooth with the same tooth profile according to the profile equation of the main generatrix and the profile equation of the secondary generatrix; Step S105, establishing a fixed scroll tooth and a moving scroll tooth with different tooth profiles according to the profile equation of the main generatrix; Step S106, performing tooth head reconstruction on the fixed scroll tooth and the moving scroll tooth with the same tooth profile and the fixed scroll tooth and the moving scroll tooth with different tooth profiles to obtain the meshing of the fixed scroll tooth and the moving scroll tooth with the same tooth profile and the meshing of the fixed scroll tooth and the moving scroll tooth with different tooth profiles.

[0028] For the method for designing a scroll tooth with variable wall thickness of a scroll compressor according to an embodiment of the present invention, only one general profile is used to design a new scroll tooth with variable wall thickness. This not only simplifies the profile design process, ensures the continuity of the curve, but also reduces the problem of re-planning the tool path and the cutter path during the machining process due to different curve types, effectively breaking through the limitation that only by using a combined profile can a scroll tooth with variable wall thickness be constructed in the traditional profile design. At the same time, by establishing a fixed scroll tooth and a moving scroll tooth with the same tooth profile and a fixed scroll tooth and a moving scroll tooth with different tooth profiles, the types of existing scroll teeth with variable wall thickness are enriched. Among them, both the fixed scroll tooth and the moving scroll tooth with the same tooth profile have variable wall thickness, breaking through the limitation that a single curve can only form a scroll tooth with equal wall thickness, while the fixed scroll tooth and the moving scroll tooth with different tooth profiles (i.e., the moving scroll tooth has equal wall thickness and the fixed scroll tooth has variable wall thickness) play a role in improving the mechanical performance of the whole scroll compressor due to their smaller mass.

[0029] According to an embodiment of the present invention, in Step S101, the general profile is a geometric figure commonly used in mechanical design, usually having good performance characteristics and applicability. According to the selected general profile, the main generatrix of the scroll tooth is constructed through certain parameterization or geometric transformation. This main generatrix will serve as the basis for subsequent design.

[0030] According to an embodiment of the present invention, using a general profile to construct the main generatrix of the scroll tooth and determining the profile equation of the main generatrix includes: determining the profile equation G1 of the main generatrix according to Formulas (1) and (2).

[0031]

[0032] where, R s is the eccentric radius, R g is the radius of the center line of the scroll tooth, is the profile expansion angle, is the coordinate of any point on the main generatrix, and C0, C1, and C2 are all constants.

[0033] According to an embodiment of the present invention, in formula (1), is the eccentricity radius, representing the variation law of the eccentricity radius of the scroll tooth with the involute angle, is the radius of the center line of the scroll tooth, representing the variation law of the radius of the center line of the scroll tooth with the involute angle. In formula (2), is the abscissa of any point on the main generatrix in the two-dimensional plane, is the ordinate of any point on the main generatrix in the two-dimensional plane. By combining them, the involute equation of the main generatrix can be obtained.

[0034] In this way, based on the variations of the radius of the center line of the scroll tooth, the eccentricity radius and the involute angle of the scroll tooth, the involute equation of the main generatrix can be determined, which can adapt to different working conditions and performance requirements, improve the scientificity and accuracy of the involute equation of the main generatrix, and provide data support for subsequent designs.

[0035] According to an embodiment of the present invention, in step S102, the central symmetry curve of the main generatrix is used as the secondary generatrix. The central symmetry curve can effectively ensure good meshing between the moving tooth and the static tooth. Due to symmetry, the two teeth can maintain a uniform contact state during operation, thereby improving the meshing efficiency, reducing vibration and noise. Therefore, the points on the main generatrix and the points on the secondary generatrix are symmetric about the origin.

[0036] According to an embodiment of the present invention, in step S103, each point of the main generatrix is subjected to a central symmetry transformation, and then combined with the involute equation of the main generatrix, the involute equation of the secondary generatrix can be determined.

[0037] According to an embodiment of the present invention, determining the involute equation of the secondary generatrix according to the involute equation of the main generatrix includes: determining the involute equation G2 of the secondary generatrix according to formula (3),

[0038]

[0039] wherein, is the coordinate of any point on the secondary generatrix.

[0040] According to an embodiment of the present invention, in formula (3), represents that the points on the main generatrix and the points on the secondary generatrix are symmetric about the origin, and thus the involute equation of the secondary generatrix can be obtained.

[0041] In this way, by subjecting each point of the main generatrix to a central symmetry transformation, the involute equation of the secondary generatrix can be determined, improving the scientificity and accuracy of the involute equation of the secondary generatrix and providing data support for subsequent designs.

[0042] According to an embodiment of the present invention, in step S104,Figure 2 Exemplarily shown are a stationary scroll tooth and a moving scroll tooth with the same tooth profile according to an embodiment of the present invention. 1 is the stationary scroll tooth, and 2 is the moving scroll tooth. For the stationary and moving scroll teeth of a scroll compressor to achieve correct meshing, it is necessary to satisfy the condition that the outer wall profile of the stationary scroll tooth and the inner wall profile of the moving scroll tooth, as well as the inner wall profile of the stationary scroll tooth and the outer wall profile of the moving scroll tooth, are two equidistant lines with a normal distance equal to the radius of rotation.

[0043] According to an embodiment of the present invention, step S104 includes: equidistantly offsetting the main generatrix in the inward normal direction equidistantly offsetting the secondary generatrix in the outward normal direction equidistantly offsetting the main generatrix in the outward normal direction equidistantly offsetting the secondary generatrix in the inward normal direction obtaining the outer wall profile of the first stationary scroll tooth, the inner wall profile of the first stationary scroll tooth, the inner wall profile of the first moving scroll tooth, and the outer wall profile of the first moving scroll tooth, where R or is the radius of rotation; based on the outer wall profile of the first stationary scroll tooth, the inner wall profile of the first stationary scroll tooth, the inner wall profile of the first moving scroll tooth, and the outer wall profile of the first moving scroll tooth, a stationary scroll tooth and a moving scroll tooth with the same tooth profile are established.

[0044] According to an embodiment of the present invention, equidistantly offsetting the main generatrix in the inward normal direction obtains the outer wall profile of the first stationary scroll tooth, equidistantly offsetting the secondary generatrix in the outward normal direction obtains the inner wall profile of the first stationary scroll tooth. Similarly, equidistantly offsetting the main generatrix in the outward normal direction obtains the inner wall profile of the first moving scroll tooth, and equidistantly offsetting the secondary generatrix in the inward normal direction obtains the outer wall profile of the first moving scroll tooth.

[0045] According to an embodiment of the present invention, equidistantly offsetting the main generatrix in the inward normal direction equidistantly offsetting the secondary generatrix in the outward normal direction equidistantly offsetting the main generatrix in the outward normal direction equidistantly offsetting the secondary generatrix in the inward normal direction Obtaining the outer wall profile of the first stationary scroll tooth, the inner wall profile of the first stationary scroll tooth, the inner wall profile of the first moving scroll tooth, and the outer wall profile of the first moving scroll tooth includes: obtaining the outer wall profile P1 of the first stationary scroll tooth, the inner wall profile P2 of the first stationary scroll tooth, the inner wall profile P3 of the first moving scroll tooth, and the outer wall profile P4 of the first moving scroll tooth according to formulas (4), (5), (6), and (7),

[0046]

[0047] where is the coordinate of any point on the outer wall profile of the first stationary scroll tooth, is the coordinate of any point on the inner wall profile of the first stationary scroll tooth, is the coordinate of any point on the inner wall profile of the first moving scroll tooth, is the coordinate of any point on the outer wall profile line of the first moving scroll tooth.

[0048] According to an embodiment of the present invention, subtracting the eccentricity radius of the profile equation of the main bus bar That is, the main bus bar is equally spaced in the inward normal direction Formula (4) can be obtained, that is, the outer wall profile line of the first stationary scroll tooth. Adding the eccentricity radius of the profile equation of the secondary bus bar That is, the secondary bus bar is equally spaced in the outward normal direction Formula (5) can be obtained, that is, the inner wall profile line of the first stationary scroll tooth. Adding the eccentricity radius of the profile equation of the main bus bar That is, the main bus bar is equally spaced in the outward normal direction Formula (6) can be obtained, that is, the inner wall profile line of the first moving scroll tooth. Subtracting the eccentricity radius of the profile equation of the secondary bus bar That is, the secondary bus bar is equally spaced in the inward normal direction Formula (7) can be obtained, that is, the outer wall profile line of the first moving scroll tooth.

[0049] In this way, by equally spacing the main and secondary bus bars in the inward and outward normal directions, the outer wall profile line of the first stationary scroll tooth, the inner wall profile line of the first stationary scroll tooth, the inner wall profile line of the first moving scroll tooth, and the outer wall profile line of the first moving scroll tooth can be obtained, establishing stationary and moving scroll teeth with the same tooth profile, and the scroll teeth are all variable wall thickness, breaking the constraint that a single curve can only form scroll teeth with equal wall thickness, which helps to improve the design efficiency and accuracy, and at the same time provides a clear framework for subsequent analysis and optimization.

[0050] According to an embodiment of the present invention, in step S105, Figure 3 Exemplarily shown are stationary and moving scroll teeth with different tooth profiles according to an embodiment of the present invention, 11 is the stationary scroll tooth, and 22 is the moving scroll tooth. According to the profile equation of the main bus bar, stationary and moving scroll teeth with different tooth profiles are established.

[0051] According to an embodiment of the present invention, according to the profile equation of the main bus bar, establishing stationary and moving scroll teeth with different tooth profiles includes: taking the main bus bar as the outer wall profile line P5 of the second stationary scroll tooth; the normal distance between the inner wall profile line of the second moving scroll tooth and the outer wall profile line of the second stationary scroll tooth is the rotation radius; obtaining the inner wall profile line P6 of the second moving scroll tooth according to formula (8),

[0052]

[0053] Wherein, is the coordinate of any point on the inner wall profile line of the second moving scroll tooth; setting a moving scroll tooth with equal wall thickness of T, where T is a constant; obtaining the outer wall profile line P7 of the second moving scroll tooth according to formula (9),

[0054]

[0055] Among them, is the coordinate of any point on the outer wall profile line of the second moving scroll tooth, and R or is the radius of rotation; the normal distance between the inner wall profile line of the second stationary scroll tooth and the outer wall profile line of the second moving scroll tooth is the radius of rotation; the inner wall profile line P8 of the second stationary scroll tooth is obtained according to formula (10).

[0056]

[0057] Among them, is the coordinate of any point on the inner wall profile line of the second stationary scroll tooth; according to the outer wall profile line of the second stationary scroll tooth, the inner wall profile line of the second moving scroll tooth, the outer wall profile line of the second moving scroll tooth and the inner wall profile line of the second stationary scroll tooth, stationary and moving scroll teeth with different tooth profiles are established.

[0058] According to an embodiment of the present invention, in formula (8), the normal distance between the inner wall profile line of the second moving scroll tooth and the outer wall profile line of the second stationary scroll tooth is the radius of rotation, and the profile line equation of the outer wall profile line of the second stationary scroll tooth is the profile line equation of the main bus. Therefore, adding R or to the eccentricity radius of the profile line equation of the main bus can obtain the inner wall profile line of the second moving scroll tooth. In formula (9), adding T to the eccentricity radius of the profile line equation of the inner wall profile line of the second moving scroll tooth is the outer wall profile line of the second moving scroll tooth. Thus, moving scroll teeth with equal wall thickness can be designed. In formula (10), since the shapes of the stationary and moving scroll teeth are different, and the normal distance between the inner wall profile line of the second stationary scroll tooth and the outer wall profile line of the second moving scroll tooth is the radius of rotation, adding R or to the eccentricity radius of the profile line equation of the outer wall profile line of the second moving scroll tooth can obtain the inner wall profile line of the second stationary scroll tooth.

[0059] In this way, based on the fact that the normal distances between the inner wall profile line of the second moving scroll tooth and the outer wall profile line of the second stationary scroll tooth, and between the inner wall profile line of the second stationary scroll tooth and the outer wall profile line of the second moving scroll tooth are both the radius of rotation, the outer wall profile line of the second stationary scroll tooth, the inner wall profile line of the second moving scroll tooth, the outer wall profile line of the second moving scroll tooth and the inner wall profile line of the second stationary scroll tooth can be obtained, and stationary and moving scroll teeth with different tooth profiles can be established. Moreover, the moving scroll teeth have equal wall thickness and the stationary scroll teeth have variable wall thickness, which helps to improve the overall mechanical performance of the scroll compressor.

[0060] According to an embodiment of the present invention, in step S106, Figure 4 Exemplarily, a schematic diagram of tooth head reconstruction according to an embodiment of the present invention is shown. 4 is the reconstructed arc 1, and 5 is the reconstructed arc 2. According to the steps of tooth head reconstruction, the tooth head shapes of the stationary and moving scroll teeth with the same tooth profile and the stationary and moving scroll teeth with different tooth profiles are redesigned or adjusted, so as to improve the meshing performance.

[0061] According to an embodiment of the present invention, the step of reconstructing the tooth head includes: constructing reconstruction arc 1 and reconstruction arc 2 according to the continuity condition of the curve satisfied between the inner wall profile of the scroll tooth and reconstruction arc 1, and between the outer wall profile and reconstruction arc 2, and the difference in the radius of curvature of reconstruction arc 1 and reconstruction arc 2 at any point being equal to the rotation radius, wherein the reconstruction arc 1 includes the stationary scroll tooth reconstruction arc 1 and the moving scroll tooth reconstruction arc 1, and the reconstruction arc 2 includes the stationary scroll tooth reconstruction arc 2 and the moving scroll tooth reconstruction arc 2; obtaining the starting angles of the stationary scroll tooth reconstruction arc 2 and the moving scroll tooth reconstruction arc 1, the starting angles of the stationary scroll tooth reconstruction arc 1 and the moving scroll tooth reconstruction arc 2, the normal distances between the stationary scroll tooth reconstruction arc 2 and the moving scroll tooth reconstruction arc 1, the normal distances between the stationary scroll tooth reconstruction arc 1 and the moving scroll tooth reconstruction arc 2, the relative angles between the stationary scroll tooth reconstruction arc 2 and the moving scroll tooth reconstruction arc 1, and the relative angles between the stationary scroll tooth reconstruction arc 1 and the moving scroll tooth reconstruction arc 2, wherein the starting angle is the starting angle of the inner wall profile of the stationary and moving scroll teeth, the normal distance is the normal distance between the profile of the stationary and moving scroll teeth and the center of curvature of the correction curve at the connection point, and the relative angle is the relative angle between the axis of symmetry of the geometric curve and the horizontal axis; obtaining the equations of the stationary scroll tooth reconstruction arc 1, the stationary scroll tooth reconstruction arc 2, the moving scroll tooth reconstruction arc 1, and the moving scroll tooth reconstruction arc 2 according to the starting angle, the normal distance, and the relative angle; and performing the tooth head reconstruction according to the equations of the stationary scroll tooth reconstruction arc 1, the stationary scroll tooth reconstruction arc 2, the moving scroll tooth reconstruction arc 1, and the moving scroll tooth reconstruction arc 2.

[0062] According to an embodiment of the present invention, reconstruction arc 1 and reconstruction arc 2 redefine the tooth head shape of the scroll tooth. The continuity condition of the curve needs to be satisfied, that is, when connecting the inner and outer wall profiles of the scroll tooth with the reconstruction arc, it is smooth at the contact point without sudden changes. The radius of curvature condition needs to be satisfied, that is, the difference in the radius of curvature of reconstruction arc 1 and reconstruction arc 2 at any point is equal to the rotation radius, so that the transmission behavior during meshing meets the design requirements. Satisfying the above two constraint conditions can uniquely reconstruct the tooth head. Figure 5 Exemplarily shown is a meshing diagram of stationary and moving scroll teeth with the same tooth profile according to an embodiment of the present invention, where 1 is the stationary scroll tooth and 2 is the moving scroll tooth. Figure 6 Exemplarily shown is a meshing diagram of stationary and moving scroll teeth with different tooth profiles according to an embodiment of the present invention, where 11 is the stationary scroll tooth and 22 is the moving scroll tooth.

[0063] According to an embodiment of the present invention, obtaining the equations of the reconstructed arc 1 of the stationary scroll tooth, the reconstructed arc 2 of the stationary scroll tooth, the reconstructed arc 1 of the moving scroll tooth, and the reconstructed arc 2 of the moving scroll tooth based on the starting angle, the normal distance, and the relative angle includes: obtaining the equation I1 of the reconstructed arc 1 of the stationary scroll tooth, the equation I2 of the reconstructed arc 2 of the stationary scroll tooth, the equation J1 of the reconstructed arc 1 of the moving scroll tooth, and the equation J2 of the reconstructed arc 2 of the moving scroll tooth according to formulas (11), (12), (13), (14), (15), (16), (17), and (18).

[0064]

[0065]

[0066] Wherein, and are the design radii, and are the radii of curvature, γ1 is the starting angle of the reconstructed arc 2 of the stationary scroll tooth and the reconstructed arc 1 of the moving scroll tooth, γ2 is the starting angle of the reconstructed arc 1 of the stationary scroll tooth and the reconstructed arc 2 of the moving scroll tooth, σ1 is the normal distance between the reconstructed arc 2 of the stationary scroll tooth and the reconstructed arc 1 of the moving scroll tooth, σ2 is the normal distance between the reconstructed arc 1 of the stationary scroll tooth and the reconstructed arc 2 of the moving scroll tooth, ζ1 is the relative angle between the reconstructed arc 2 of the stationary scroll tooth and the reconstructed arc 1 of the moving scroll tooth, ζ2 is the relative angle between the reconstructed arc 1 of the stationary scroll tooth and the reconstructed arc 2 of the moving scroll tooth, R or is the radius of gyration, is the coordinate of any point on the reconstructed arc 1 of the stationary scroll tooth, is the coordinate of any point on the reconstructed arc 2 of the stationary scroll tooth, is the coordinate of any point on the reconstructed arc 1 of the moving scroll tooth, is the coordinate of any point on the reconstructed arc 2 of the moving scroll tooth, ρ1, ρ2, and (x j , y j ) are constants obtained according to the conjugate relationship and the continuity condition, and j is 1 or 2.

[0067] According to an embodiment of the present invention, in formulas (11) and (12), and represent the variation law of the design radius of the scroll tooth with the profile angle. In formulas (13) and (14), and The quantity representing the degree of curve bending, i.e., the radius of curvature. In formulas (15), (16), (17), and (18), the coordinates of any point on the reconstructed circular arc 1 of the stationary scroll tooth, the reconstructed circular arc 2 of the stationary scroll tooth, the reconstructed circular arc 1 of the moving scroll tooth, and the reconstructed circular arc 2 of the moving scroll tooth are calculated, i.e., the shape and position of the scroll tooth, so that the stationary scroll tooth and the moving scroll tooth can be accurately meshed to form a sealed compression chamber.

[0068] In this way, based on the starting angle, the normal distance, and the relative angle, the equations of the reconstructed circular arc 1 of the stationary scroll tooth, the reconstructed circular arc 2 of the stationary scroll tooth, the reconstructed circular arc 1 of the moving scroll tooth, and the reconstructed circular arc 2 of the moving scroll tooth can be obtained, so that the tooth heads of the stationary and moving scroll teeth can be reconstructed while satisfying the continuity condition and the radius of curvature condition of the curve, which can improve the mechanical properties of the scroll tooth and enhance the strength at the tooth head of the scroll tooth.

[0069] The variable wall thickness scroll tooth design method of a scroll compressor according to an embodiment of the present invention only uses a single general profile to design a new variable wall thickness scroll tooth, which not only simplifies the profile design process, ensures the continuity of the curve, but also reduces the problem of re-planning the tool path and cutter path due to different curve types during the machining process, effectively breaking through the constraint that only a combined profile can be used to construct variable wall thickness scroll teeth in traditional profile design. At the same time, by establishing stationary and moving scroll teeth with the same tooth profile and different tooth profiles, the types of existing variable wall thickness scroll teeth are enriched. Among them, both the stationary and moving scroll teeth with the same tooth profile have variable wall thickness, breaking through the constraint that a single curve can only form an equal wall thickness scroll tooth, while the stationary and moving scroll teeth with different tooth profiles (i.e., the moving scroll tooth has an equal wall thickness and the stationary scroll tooth has a variable wall thickness) play a role in improving the mechanical properties of the entire scroll compressor due to their smaller mass. When determining the profile equation of the main generatrix, the profile equation of the main generatrix can be determined based on the changes in the radius of the center line of the scroll tooth, the eccentric radius, and the profile development angle of the scroll tooth, which can adapt to different working conditions and performance requirements, improve the scientificity and accuracy of the profile equation of the main generatrix, and provide data support for subsequent design. When determining the profile equation of the secondary generatrix, the profile equation of the secondary generatrix can be determined by performing a central symmetry transformation on each point of the main generatrix, improving the scientificity and accuracy of the profile equation of the secondary generatrix, and providing data support for subsequent design. When establishing stationary and moving scroll teeth with the same tooth profile, the outer wall profile of the first stationary scroll tooth, the inner wall profile of the first stationary scroll tooth, the inner wall profile of the first moving scroll tooth, and the outer wall profile of the first moving scroll tooth can be obtained by moving the main and secondary generatrices equidistantly in the inner and outer normal directions to establish stationary and moving scroll teeth with the same tooth profile, and the scroll teeth all have variable wall thickness, breaking through the constraint that a single curve can only form an equal wall thickness scroll tooth, which helps to improve the design efficiency and accuracy, and at the same time provides a clear framework for subsequent analysis and optimization. When establishing stationary and moving scroll teeth with different tooth profiles, the outer wall profile of the second stationary scroll tooth, the inner wall profile of the second moving scroll tooth, the outer wall profile of the second moving scroll tooth, and the inner wall profile of the second stationary scroll tooth can be obtained based on the normal distance between the inner wall profile of the second moving scroll tooth and the outer wall profile of the second stationary scroll tooth, and the normal distance between the inner wall profile of the second stationary scroll tooth and the outer wall profile of the second moving scroll tooth being equal to the rotational radius to establish stationary and moving scroll teeth with different tooth profiles, and the moving scroll tooth has an equal wall thickness and the stationary scroll tooth has a variable wall thickness, which helps to improve the mechanical properties of the entire scroll compressor. When performing tooth head reconstruction, the equations of the reconstructed arc 1 of the stationary scroll tooth, the equations of the reconstructed arc 2 of the stationary scroll tooth, the equations of the reconstructed arc 1 of the moving scroll tooth, and the equations of the reconstructed arc 2 of the moving scroll tooth can be obtained based on the starting angle, the normal distance, and the relative angle, so as to reconstruct the tooth heads of the stationary and moving scroll teeth under the conditions of meeting the curve continuity condition and the curvature radius condition, which can improve the mechanical properties of the scroll teeth and enhance the strength at the tooth head of the scroll teeth.

[0070] Those skilled in the art should understand that the embodiments of the present invention described above and shown in the accompanying drawings are only examples and do not limit the present invention. The objectives of the present invention have been fully and effectively achieved. The functions and structural principles of the present invention have been demonstrated and illustrated in the embodiments, and without departing from the said principles, any variations or modifications can be made to the embodiments of the present invention.

Claims

1. A method for designing a scroll compressor scroll with variable wall thickness, characterized in that: include: Use the universal profile to construct the main busbar of the vortex gear and determine the profile equation of the main busbar. According to the formula G1: Determine the main busbar profile equation G1, where R s is the eccentric radius, R g is the radius of the centerline of the volute, is the profile angle, is the coordinate of any point on the main bus, and C0, C1 and C2 are all constants; The central symmetric curve of the main bus is obtained as the secondary bus; the profile equation of the secondary bus is determined according to the profile equation of the main bus; dynamic and static vortex teeth with the same tooth shape are established according to the profile equation of the main bus and the profile equation of the secondary bus; dynamic and static vortex teeth with different tooth shapes are established according to the profile equation of the main bus; tooth heads of the dynamic and static vortex teeth with the same tooth shape and the dynamic and static vortex teeth with different tooth shapes are reconstructed to obtain meshing of dynamic and static vortex teeth with the same tooth shape and meshing of dynamic and static vortex teeth with different tooth shapes.

2. The method for designing a scroll compressor scroll tooth with variable wall thickness according to claim 1, characterized in that: According to the main busbar profile equation, determining the secondary busbar profile equation includes: according to formula G2: Determine the secondary busbar profile equation G2, where: is the coordinate of any point on the secondary busbar.

3. The method for designing a scroll compressor scroll tooth with variable wall thickness according to claim 2, characterized in that: According to the profile equation of the main busbar and the profile equation of the secondary busbar, a dynamic and static scroll tooth with the same tooth shape is established, including: the main busbar is equidistantly spaced inwardly in the normal direction Auxiliary busbar outward normal equidistant The main busbar is equidistant in the normal direction outward Auxiliary busbars are equidistant inward normal direction The first fixed scroll outer wall profile, the first fixed scroll inner wall profile, the first movable scroll inner wall profile and the first movable scroll outer wall profile are obtained, wherein R or is the radius of gyration; according to the first static volute outer wall profile, the first static volute inner wall profile, the first movable volute inner wall profile and the first movable volute outer wall profile, dynamic and static volutes with the same tooth shape are established.

4. The method for designing a scroll compressor scroll tooth with variable wall thickness according to claim 3, characterized in that: Distance the main busbars inwards Auxiliary busbar outward normal equidistant The main busbar is equidistant in the normal direction outward Auxiliary busbars are equidistant inward normal direction Obtaining the first stationary scroll outer wall profile, the first stationary scroll inner wall profile, the first orbiting scroll inner wall profile and the first orbiting scroll outer wall profile, including: according to formula P1: P2: P3: P4: The first fixed scroll outer wall profile P1, the first fixed scroll inner wall profile P2, the first movable scroll inner wall profile P3 and the first movable scroll outer wall profile P4 are obtained, wherein: is the coordinate of any point on the outer wall profile of the first static scroll tooth, is the coordinate of any point on the inner wall profile of the first static scroll tooth, is the coordinate of any point on the inner wall profile of the first movable scroll gear, is the coordinate of any point on the outer wall profile of the first movable scroll tooth.

5. The method for designing a scroll compressor scroll tooth with variable wall thickness according to claim 2, characterized in that: According to the profile equation of the main busbar, dynamic and static scroll teeth with different tooth shapes are established, including: taking the main busbar as the profile P5 of the outer wall of the second static scroll tooth; the normal distance between the profile of the inner wall of the second dynamic scroll tooth and the profile of the outer wall of the second static scroll tooth is the radius of gyration; according to formula P6: The second movable scroll inner wall profile P6 is obtained, wherein: is the coordinate of any point on the inner wall profile of the second movable scroll gear; set a movable scroll gear with equal wall thickness T, where T is a constant; according to the formula P7: The second movable scroll outer wall profile P7 is obtained, wherein: is the coordinate of any point on the outer wall of the second orbiting scroll tooth, R or is the radius of gyration; the normal distance between the inner wall profile of the second static scroll tooth and the outer wall profile of the second movable scroll tooth is the radius of gyration; according to the formula P8: The second fixed scroll inner wall profile P8 is obtained, wherein: are the coordinates of any point on the inner wall profile of the second static scroll tooth; according to the outer wall profile of the second static scroll tooth, the inner wall profile of the second movable scroll tooth, the outer wall profile of the second movable scroll tooth and the inner wall profile of the second static scroll tooth, dynamic and static scroll teeth with different tooth shapes are established.

6. The method for designing a scroll compressor scroll tooth with variable wall thickness according to claim 5, characterized in that: The step of tooth head reconstruction includes: constructing reconstructed arc 1 and reconstructed arc 2 according to the continuity condition of the curve between the inner wall profile of the vortex tooth and the reconstructed arc 1, and the outer wall profile and the reconstructed arc 2, and the difference in the curvature radius of the reconstructed arc 1 and the reconstructed arc 2 at any point is equal to the radius of gyration, wherein the reconstructed arc 1 includes the reconstructed arc 1 of the static vortex tooth and the reconstructed arc 1 of the movable vortex tooth, and the reconstructed arc 2 includes the reconstructed arc 2 of the static vortex tooth and the reconstructed arc 2 of the movable vortex tooth; obtaining the starting angle of the reconstructed arc 2 of the static vortex tooth and the reconstructed arc 1 of the movable vortex tooth, the starting angle of the reconstructed arc 1 of the static vortex tooth and the reconstructed arc 2 of the movable vortex tooth, the normal distance between the reconstructed arc 2 of the static vortex tooth and the reconstructed arc 1 of the movable vortex tooth, the normal distance between the reconstructed arc 1 of the static vortex tooth and the reconstructed arc 2 of the movable vortex tooth, and the reconstructed arc 2 of the static vortex tooth and the reconstructed arc 2 of the movable vortex tooth. The relative angle of the reconstructed arc 1 of the spiral tooth, and the relative angles of the reconstructed arc 1 of the static scroll tooth and the reconstructed arc 2 of the movable scroll tooth, wherein the starting angle is the starting angle of the inner wall profile of the static and dynamic scroll teeth, the normal distance is the normal distance between the profile of the static and dynamic scroll teeth and the center of curvature of the correction curve at the connection point, and the relative angle is the relative angle between the symmetry axis of the geometric curve and the horizontal axis; according to the starting angle, the normal distance, and the relative angle, the equation of the reconstructed arc 1 of the static scroll tooth, the equation of the reconstructed arc 2 of the static scroll tooth, the equation of the reconstructed arc 1 of the movable scroll tooth, and the equation of the reconstructed arc 2 of the movable scroll tooth are obtained; according to the equation of the reconstructed arc 1 of the static scroll tooth, the equation of the reconstructed arc 2 of the static scroll tooth, the equation of the reconstructed arc 1 of the movable scroll tooth, and the equation of the reconstructed arc 2 of the movable scroll tooth, the tooth head reconstruction is performed.

7. The method for designing a scroll compressor scroll tooth with variable wall thickness according to claim 6, characterized in that: According to the starting angle, the normal distance, and the relative angle, the equation of the static scroll gear reconstruction arc 1, the equation of the static scroll gear reconstruction arc 2, the equation of the movable scroll gear reconstruction arc 1, and the equation of the movable scroll gear reconstruction arc 2 are obtained, including: according to the formula I1: I2: J1: J2: The equation I1 of the static scroll reconstructed arc 1, the equation I2 of the static scroll reconstructed arc 2, the equation J1 of the orbiting scroll reconstructed arc 1, and the equation J2 of the orbiting scroll reconstructed arc 2 are obtained, wherein, and is the design radius, and is the radius of curvature, γ1 is the starting angle of the static scroll reconstruction arc 2 and the orbiting scroll reconstruction arc 1, γ2 is the starting angle of the static scroll reconstruction arc 1 and the orbiting scroll reconstruction arc 2, σ1 is the normal distance between the static scroll reconstruction arc 2 and the orbiting scroll reconstruction arc 1, σ2 is the normal distance between the static scroll reconstruction arc 1 and the orbiting scroll reconstruction arc 2, ζ1 is the relative angle between the static scroll reconstruction arc 2 and the orbiting scroll reconstruction arc 1, ζ2 is the relative angle between the static scroll reconstruction arc 1 and the orbiting scroll reconstruction arc 2, R or is the radius of gyration, Reconstruct the coordinates of any point on arc 1 for the static scroll gear, Reconstruct the coordinates of any point on arc 2 for the static scroll gear, Reconstruct the coordinates of any point on arc 1 for the orbiting scroll gear, Reconstruct the coordinates of any point on arc 2 for the orbiting scroll gear, ρ1, ρ2 and (x j ,y j ) is a constant obtained from the conjugation relationship and continuity conditions, and j is 1 or 2.

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