Thermal-deformation-considered scroll plate of stepped variable-tooth-height and high-wall-thickness scroll compressor

By designing the step-changing tooth high body design line with thermal deformation on the scroll compressor scroll, the problem of excessive rotational inertia force and poor dynamic balance of the equal-tooth high scroll in large displacement is solved, and the thermal performance and leakage reduction of the scroll machinery are improved.

CN119778267AActive Publication Date: 2025-04-08XI AN JIAOTONG UNIV
View PDF 5 Cites 0 Cited by

Patent Information

Application Number
CN202411969112.8
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2024-12-30
Publication Date
2025-04-08
Estimated Expiration
2044-12-30

AI Technical Summary

Technical Problem

The existing equal-tooth high-volume scrolls have excessive rotational inertia force due to excessive diameter due to large displacement, poor dynamic balance, and deformation and leakage problems under high pressure and high temperature conditions.

Method used

Design a step-changing tooth high wall thickness scroll compressor scroll that considers thermal deformation. By designing a step-changing tooth high body design line on the scroll, considering the global circumferential clearance, the axial clearance of each step and the arc meshing gap, the change law of the volume working cavity and the gap change law caused by thermal deformation.

Benefits of technology

The geometric performance of variable tooth high scroll-shaped lines is flexible to adjust, improve the thermal performance of scroll machinery, and reduce leakage problems caused by thermal deformation.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN119778267A_ABST
    Figure CN119778267A_ABST
Patent Text Reader

Abstract

The invention discloses a stepped variable-tooth-height and wall-thickness scroll compressor scroll plate considering thermal deformation. The scroll plate comprises a dynamic plate and a static plate which have the same stepped variable-tooth-height main body design molded line; according to the stepped variable-tooth-height main body design molded line, on the tooth height change side, the arc of the tooth height change section molded line is internally tangent, and the difference is 180 degrees in the stepped variable-tooth-height main body design molded line; the large arc diameter of the stepped section of the stepped variable-tooth-height main body design molded line is related to the pitch and the wall thickness of the vortex plate, and the small arc diameter of the stepped section is equal to the wall thickness of the vortex plate; from the starting end of the vortex body, the tooth height of each tooth height conversion section is in a rising change trend, and the tooth root of the vortex plate is in a lowering change trend. According to the stepped variable-tooth-height main body design molded line, the global circumferential clearance, the axial clearance of each step and the arc meshing clearance are considered, the change rule of a volume working cavity and the clearance change rule caused by thermal deformation can be regulated and controlled, the geometric performance of the variable-tooth-height vortex disc molded line can be flexibly adjusted, and then the mechanical thermal performance of the vortex disc is improved.
Need to check novelty before this filing date? Find Prior Art

Description

Technical Field

[0001] The invention belongs to the field of scroll machinery, and relates to a scroll disk of a scroll compressor with stepped variable tooth height and equal wall thickness taking thermal deformation into consideration. Background Art

[0002] When the displacement is large, the scroll with equal tooth height often needs a larger diameter to increase its displacement. However, if the scroll diameter is too large, the scroll rotation inertia force will be too large, the dynamic balance of the scroll machinery will be poor, and there will be problems such as large deformation of the rotor under high pressure difference conditions and large thermal deformation under high temperature conditions. For this reason, a scroll machinery with variable tooth height can be used to reduce the scroll size, and only increase the size slightly in the tooth height direction. A variety of three-dimensional structures of step-variable tooth height machinery have been given at home and abroad, but only modeling and gap setting are performed on the structure. However, modeling and gap setting only on the structure are not enough. Summary of the invention

[0003] The purpose of the present invention is to address the problems in the above-mentioned prior art and provide a scroll disk of a scroll compressor with stepped tooth height and equal wall thickness taking into account thermal deformation, giving the scroll profile of each step section of the stepped tooth height after thermal deformation, taking into account the global circumferential clearance, the axial clearance of each step and the arc meshing clearance, so as to regulate the change law of the volume working chamber and the change law of the clearance caused by thermal deformation.

[0004] In order to achieve the above object, the present invention has the following technical solutions:

[0005] In a first aspect, a scroll disk of a vortex compressor with stepped tooth height and equal wall thickness taking thermal deformation into consideration is provided, comprising a movable disk and a stationary disk having the same stepped tooth height main body design profile; the stepped tooth height main body design profile makes the arc of the tooth height change section profile inscribed on the tooth height change side, which differs by 180° in the stepped tooth height main body design profile; the large arc diameter of the step section of the stepped tooth height main body design profile is related to the scroll disk pitch and wall thickness, and the small arc diameter of the step section is equal to the scroll body wall thickness; starting from the starting end of the scroll body, the tooth height of each tooth height change section shows an increasing trend, and the scroll tooth root shows a decreasing trend.

[0006] As a preferred solution, if the moving and stationary discs only have a stepped large arc or a stepped small arc profile, the structure is a single-sided equal wall thickness variable tooth height scroll, and the single-sided equal wall thickness variable tooth height scroll is a moving disc tooth high convex scroll or a stationary disc tooth high convex scroll;

[0007] If both the moving and static disks have stepped large arc or stepped small arc profiles, the structure is a double-sided equal wall thickness variable tooth high vortex disk, and the double-sided equal wall thickness variable tooth high vortex disk is a moving and static disk tooth high convex type vortex disk.

[0008] As a preferred solution, the step-variable tooth height main body design profile is constructed as follows:

[0009] Given the base circle angle α, base circle radius a, number of tooth height change sections k, and height of each tooth height h_n (n=0,...n,...k), where n=0 represents a scroll compressor with equal tooth height and equal wall thickness, for the last k-th step: φ cR_i_k is the inner side angle of the kth step large arc, φ cR_o_k is the outer extension angle of the kth step large arc; φ cr_i_k The inner side angle of the kth step arc, φ cr_o_k is the outer angle of the kth step large arc;

[0010] The step-variable tooth height main body design profile is constructed without distinguishing between the dynamic and static disks, and the profile of the first section of the scroll is the profile of the portion without variable tooth height; the profile at the first step is composed of a large arc θ cR_1 ∈(θ cR_o_1 ,θ cR_i_1 ), small arc θ cr1 ∈(θ cr_o_1 ,θ cr_i_1 ) and two scroll profiles φ i ∈(φ cR_i_1 ,φ E ), φ o ∈(φ cR_o_1 ,φ E +2α), scroll profile φ i ∈(φ cr_i_1 ,φ E ), φ o ∈(φ cr_o_1 ,φ E +2α); the second step is composed of a large arc θ cR_2 ∈(θ cR_o_2 ,θ cR_i_2 ), small arc θ cr2 ∈(θ cr_o_2 ,θ cr_i_2 ) and two scroll profiles φ i ∈(φ cR_i_2 ,φ E ), φ o ∈(φ cR_o_2 ,φ E +2α), scroll profile φ i ∈(φ cr_i_2 ,φ E ), φ o ∈(φ cr_o_2 ,φ E +2α); and so on, the profile at the kth step is composed of a large arc θ cR_k ∈(θ cR_o_k ,θ cR_i_k ), small arc θ crk ∈(θ cr_o_k ,θ cr_i_k) and two scroll profiles φ i ∈(φ cR_i_k ,φ E ), φ o ∈(φ cR_o_k ,φ E +2α), scroll profile φ i ∈(φ cr_i_k ,φ E ), φ o ∈(φ cr_o_k ,φ E +2α).

[0011] As a preferred solution, for the first scroll, the dynamic and static scroll line equations are as follows:

[0012]

[0013] In the formula, (x i_0 ,y i_0 ) is the horizontal and vertical coordinates of the inner profile of the first scroll, (x o_0 ,y o_0 ) is the horizontal and vertical coordinates of the outer profile of the first scroll, a is the base circle radius, φ i is the first scroll inner profile angle, φ o is the first scroll outer profile angle, α is the base circle angle, φ E The final angle of the involute of the center plane of the vortex circle in the scroll disk;

[0014] The profile of the moving or static disk at the first step is as follows:

[0015]

[0016] In the formula, (x i_1 ,y i_1 ) is the horizontal and vertical coordinates of the inner side line at the first step, (x cR_1 ,y cR_1 ) is the horizontal and vertical coordinates of the arc segment of the first step, (x o_1 ,y o_1 ) is the horizontal and vertical coordinates of the outer profile line at the first step, (x cR_o_1 ,y cR_o_1 ) is the starting horizontal and vertical coordinates of the large arc at the first step, φ cR_i_1 is the starting angle of the inner profile at the first step, φ cR_o_1 is the starting angle of the outer profile at the first step, θ cR_1 is the profile angle of the large arc at the first step, θ cR_o_1 ,θ cR_i_1 They are the starting angle and final angle of the center plane of the large arc profile angle at the first step respectively;

[0017]

[0018] In the formula, (x cr_1 ,y cr_1 ) is the horizontal and vertical coordinates of the small arc segment line at the first step, (x cR_o_1 ,y cR_o_1 ) is the starting horizontal and vertical coordinates of the small arc at the first step, φ cr_i_1 is the starting angle of the inner profile at the first step, φ cr_o_1 is the starting angle of the outer profile at the first step, θ cr1 is the profile angle of the small arc at the first step, θ cr_o_1 ,θ cr_i_1 They are the starting angle and final angle of the center plane of the small arc profile angle at the first step respectively;

[0019] The profile of the moving disk or static disk at the nth step is as follows:

[0020]

[0021] In the formula, (x i_n ,y i_n ) is the horizontal and vertical coordinates of the inner profile line at the nth step, (x cR_n ,y cR_n ) is the horizontal and vertical coordinates of the arc segment profile at the nth step, (x o_n ,y o_n ) is the horizontal and vertical coordinates of the outer profile line at the nth step, (x cR_o_n ,y cR_o_n ) is the starting horizontal and vertical coordinates of the large arc at the nth step, φ cR_i_n is the starting angle of the inner profile at the nth step, φ cR_o_n is the starting angle of the outer profile at the nth step, θ cR_n is the profile angle of the large arc at the nth step, θ cR_o_n ,θ cR_i_n They are the starting angle and the final angle of the center plane of the large arc profile angle at the nth step respectively;

[0022]

[0023] In the formula, (x cr_n ,y cr_n ) is the horizontal and vertical coordinates of the small arc segment line at the nth step, (x cr_o_n ,y cr_o_n ) is the starting horizontal and vertical coordinates of the small arc at the nth step, φ cr_i_n is the starting angle of the inner profile at the nth step, φ cR_o_n is the starting angle of the outer profile at the nth step, θ cr_n is the profile angle of the small arc at the nth step, θ cr_o_n ,θcr_i_n They are respectively the starting angle and the final angle of the center plane of the small arc profile angle at the nth step.

[0024] Furthermore, for a unilateral scroll with constant wall thickness and variable tooth height, the scroll profile is symmetrical, and the profile is arranged on any side. If the moving disk has a large stepped arc at the tooth root, the stationary disk has a small stepped arc at the tooth height side; if the stationary disk has a large stepped arc at the tooth root side, the moving disk has a small stepped arc at the tooth height side.

[0025] For the double-sided equal-wall-thickness and variable-tooth-height scroll, the scroll profile is symmetrical and arranged on both sides at the same time. The moving disk has a large stepped arc on the tooth root side and a small stepped arc on the tooth height side. The corresponding meshing stationary disk has a small stepped arc on the tooth height side and a large stepped arc on the tooth root side.

[0026] As a preferred solution, given the kth step tooth height and the angle position of the step arc, the required parameters of each arc size and the arc starting angle θ are obtained according to the following expressions: c_i_n With the end angle θ c_o_n , and the coordinates of the center of the circle (x c_o_n ,y c_o_n ):

[0027]

[0028] In the formula, (x cR_o_n ,y cR_o_n ) is the horizontal and vertical coordinates of the center of the large arc at the nth step, (x φcR_i ,y φcR_i ) is the horizontal and vertical coordinates of the intersection of the large arc at the nth step and the inner profile of the scroll, (x φcR_o ,y φcR_o ) is the horizontal and vertical coordinates of the intersection of the large arc at the nth step and the outer contour line of the scroll; (x cr_o_n ,y cr_o_n ) is the horizontal and vertical coordinates of the center of the small arc at the nth step, (x φcr_i ,y φcr_i ) is the horizontal and vertical coordinates of the intersection of the small arc at the nth step and the inner profile of the scroll, (x φcR_o ,y φcR_o ) is the horizontal and vertical coordinates of the intersection of the small arc at the nth step and the outer contour line of the scroll;

[0029]

[0030] In the formula, θ cR_i_n is the starting angle of the large arc at the nth step, θ cR_o_n is the end angle of the large arc at the nth step; θ cr_i_n is the starting angle of the small arc at the nth step, δ cr_o_n It is the ending angle of the small arc at the nth step.

[0031] As a preferred solution, considering the thermal deformation of the scroll, the deformation along the scroll plane xy is set to be uniform, the deformation along the scroll height is set to be non-uniform, and the arc deformation at the step is set to be uniform, equidistant from the center of the circle; the deformation of the scroll after thermal stabilization under the main operating conditions is taken as the design basis, and the deformation of the scroll after thermal stabilization under the extreme conditions is the minimum guarantee target; the deformation of the scroll along the xy direction of the scroll plane is δ0, δ1, δ2 according to the different compression chambers, and the large arc deformation at each step is δ C1 ,...,δ Ck , the deformation of the small arc is δ c1 ,...,δ ck ; The maximum deformation at the beginning of deformation in the axial direction is δ z0 , the tail deformation is δ z1 The deformation at the step is related to the change in tooth height and varies linearly with the vortex angle, which is given by δ z0 Change to δ z1 , then the profile of the variable tooth height scroll with equal wall thickness after deformation is:

[0032] For the first scroll, the dynamic and static disk line equations are as follows after considering thermal deformation:

[0033]

[0034] In the formula, (x′ i_0 ,y′ i_0 ) is the horizontal and vertical coordinates of the inner profile of the first scroll after thermal deformation, (x′ o_0 ,y′ o_0 ) is the horizontal and vertical coordinates of the outer line of the first scroll after thermal deformation is considered, z′0 is the coordinate of the axial direction of the line of the first scroll after thermal deformation is considered; when thermal deformation is not considered, the horizontal and vertical coordinates of the inner line of the first scroll are (x i_0 ,y i_0 ), the horizontal and vertical coordinates of the outer profile of the first scroll section are (x o_0 ,y o_0 ), the coordinate of the first scroll line in the axial direction is z0; δ N is the deformation parameter corresponding to different compression chambers, δ0 is the deformation parameter corresponding to the central compression chamber, δ1 is the deformation parameter corresponding to the second compression chamber, δ2 is the deformation parameter corresponding to the third compression chamber, φ is the rotation angle of the movable scroll relative to the static scroll; k is the slope of coordinate change, δ z0 , δ z0 The rotation angle is 0, φ E The corresponding thermal deformation gap height when ;

[0035] At the nth step, the profile of the moving disk or the static disk is as follows:

[0036]

[0037] In the formula, (x′ i_n ,y′ i_n ) is the horizontal and vertical coordinates of the inner profile after thermal deformation at the nth step, (x′ cR_n ,y′ cR_n ) is the horizontal and vertical coordinates of the profile of the large arc at the nth step after thermal deformation, (x′ o_n ,y′ o_n ) is the horizontal and vertical coordinates of the outer line after considering thermal deformation at the nth step; when thermal deformation is not considered, the horizontal and vertical coordinates of the inner line at the nth step are (x i_n ,y i_n ), the horizontal and vertical coordinates of the large arc line at the nth step are (x cR_n ,y cR_n ), the horizontal and vertical coordinates of the outer profile at the nth step are (x o_n ,y o_n );δ C is the deformation parameter corresponding to different steps, δ C1 is the deformation parameter corresponding to the first step, δ Ck is the deformation parameter corresponding to the kth step;

[0038]

[0039] In the formula, (x′ cr_n ,y′ cr_n ) is the horizontal and vertical coordinates of the small arc at the nth step after thermal deformation, z′ n is the coordinate of the axial direction of the profile of the nth scroll after thermal deformation is considered; when thermal deformation is not considered, the horizontal and vertical coordinates of the small arc profile at the nth step are (x cr_n ,y cr_n ), the coordinate of the axial direction of the scroll profile of the nth section is z n ; δ zn The rotation angle is φ oi_n The corresponding thermal deformation gap height.

[0040] Furthermore, for a unilateral scroll with constant wall thickness and variable tooth height, the scroll profile is symmetrical, and the profile is arranged on any side. If the moving disk has a large stepped arc at the tooth root, the stationary disk has a small stepped arc at the tooth height side; if the stationary disk has a large stepped arc at the tooth root side, the moving disk has a small stepped arc at the tooth height side.

[0041] For the double-sided equal-wall-thickness and variable-tooth-height scroll, the scroll profile is symmetrical and arranged on both sides at the same time. The moving disk has a large stepped arc on the tooth root side and a small stepped arc on the tooth height side. The corresponding meshing stationary disk has a small stepped arc on the tooth height side and a large stepped arc on the tooth root side.

[0042] In a second aspect, a scroll compressor is provided, comprising a scroll disk of the scroll compressor with stepped tooth height and equal wall thickness taking thermal deformation into consideration.

[0043] In a third aspect, a computer-readable storage medium is provided, wherein the computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the design of a scroll disk of a scroll compressor with stepped variable tooth height and equal wall thickness taking into account thermal deformation is implemented.

[0044] Compared with the prior art, the present invention has at least the following beneficial effects:

[0045] Thermal deformation of variable tooth high scroll will cause leakage. In order to reduce leakage, it is necessary to give the scroll profile after thermal deformation. The gap includes radial gap, axial gap and step leakage gap. The present invention proposes a scroll of a vortex compressor with stepped tooth height and equal wall thickness that takes thermal deformation into consideration, including a moving disk and a stationary disk having the same step-variable tooth height main body design profile, wherein the step-variable tooth height main body design profile does not distinguish between the moving disk and the stationary disk profile, and makes the arc of the tooth height change section profile inscribed on the tooth height change side, which differs by 180° in the step-variable tooth height main body design profile, and the large arc diameter of the step section is related to the scroll pitch and wall thickness, and the small arc diameter of the step section is equal to the scroll body wall thickness. Starting from the starting end of the scroll body, the tooth height of each tooth height change section shows an increasing trend, and the scroll tooth root shows a decreasing trend. This step-variable tooth height main body design profile takes into account the global circumferential clearance, the axial clearance of each step and the arc meshing clearance, and can regulate the change law of the volume working chamber and the clearance change law caused by thermal deformation, so as to realize flexible adjustment of the geometric performance of the variable tooth height scroll profile, thereby achieving improvement in the thermal performance of the scroll machinery. BRIEF DESCRIPTION OF THE DRAWINGS

[0046] Figure 1 A schematic diagram of a scroll profile of a scroll compressor scroll with stepped variable tooth height and equal wall thickness considering thermal deformation according to an embodiment of the present invention;

[0047] Figure 2 Schematic diagram of the relative positions of the profiles of the moving and stationary scrolls and the profiles at the first step in an embodiment of the present invention;

[0048] Figure 3 A schematic diagram of the path of engagement between the small arc and the large arc at the first step of an embodiment of the present invention;

[0049] Figure 4 A schematic diagram of the profile at the nth (n=3) step of an embodiment of the present invention;

[0050] Figure 5 A schematic diagram of the path of engagement between the small arc and the large arc at the nth (n=3) step in an embodiment of the present invention;

[0051] Figure 6The embodiment of the present invention considers the distribution diagram of the circumferential clearance and axial clearance of the scroll of the stepped variable tooth height and equal wall thickness scroll compressor with thermal deformation. DETAILED DESCRIPTION

[0052] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, ordinary technicians in this field can also obtain other embodiments without making creative work.

[0053] See also Figure 1 A scroll disk of a scroll compressor with stepped tooth height and equal wall thickness taking thermal deformation into consideration in an embodiment of the present invention comprises a moving disk and a stationary disk having the same main design line of stepped tooth height.

[0054] See also Figure 2 , Figure 3 and Figure 5 The stepped tooth height change main body design profile of this embodiment makes the arc of the tooth height change section profile inscribed on the tooth height change side, which differs by 180° in the stepped tooth height change main body design profile; the large arc diameter of the stepped section of the stepped tooth height change main body design profile is related to the pitch and wall thickness of the scroll, and the small arc diameter of the stepped section is equal to the wall thickness of the scroll body; starting from the starting end of the scroll body, the tooth height of each tooth height change section shows an increasing trend, and the scroll tooth root shows a decreasing trend.

[0055] If the moving and stationary disks only have stepped large arc or stepped small arc profiles, the structure is a single-sided equal wall thickness variable tooth height scroll, and the single-sided equal wall thickness variable tooth height scroll is a moving disk tooth high convex scroll or a stationary disk tooth high convex scroll;

[0056] If both the moving and static disks have stepped large arc or stepped small arc profiles, the structure is a double-sided equal wall thickness variable tooth high vortex disk, and the double-sided equal wall thickness variable tooth high vortex disk is a moving and static disk tooth high convex type vortex disk.

[0057] The designed main body profile can regulate the change law of the volume working cavity and the change law of the gap caused by thermal deformation.

[0058] The following is an explanation of how to solve the main design profile of the stepped variable tooth height and equal wall thickness scroll of this embodiment.

[0059] Given the base circle angle α=0.7557rad, base circle radius a=2.2798mm, tooth height change segment number k=3, and each segment tooth height height h_n(n=0,...n,...k)=28mm, 8mm, 4mm; wherein n=0 represents a scroll compressor with equal tooth height and equal wall thickness. cR_i_kis the inner side angle of the kth step large arc, which are 18.0938 rad, 17.3084 rad and 16.2088 rad respectively; φ cR_o_k is the outer extension angle of the kth step large arc, which are 13.3221rad, 12.5367rad and 11.4372rad respectively; φ cr_i_k The inner side angles of the k-th step arc are 14.9522 rad, 14.1668 rad and 13.0672 rad respectively; φ cr_o_k are the outer angles of the kth step large arc, which are 16.4637 rad, 15.6783 rad and 14.5788 rad respectively.

[0060] The main design profile does not distinguish between the moving disc and the stationary disc profile, and is used to design the variable tooth high-step profile.

[0061] The first scroll profile is the profile of the part with unchanged tooth height, which is the overall design profile. Figure 4 As shown, the first step is composed of a large arc θ cR_1 ∈(θ cR_o_1 ,θ cR_i_1 ), small arc θ cr1 ∈(θ cr_o_1 ,θ cr_i_1 ) and two scroll profiles φ i ∈(φ cR_i_1 ,φ E ), φ o ∈(φ cR_o_1 ,φ E +2α), scroll profile φ i ∈(φ cr_i_1 ,φ E ), φ o ∈(φ cr_o_1 ,φ E +2α); the second step is composed of a large arc θ cR_2 ∈(θ cR_o_2 ,θ cR_i_2 ), small arc θ cr2 ∈(θ cr_o_2 ,θ cr_i_2 ) and two scroll profiles φ i ∈(φ cR_i_2 ,φ E ), φ o ∈(φ cR_o_2 ,φ E +2α), scroll profile φ i ∈(φ cr_i_2 ,φ E ), φ o ∈(φ cr_o_2 ,φ E+2α); and so on, the profile at the kth step is composed of a large arc θ cR_k ∈(θ cR_o_k ,θ cR_i_k ), small arc θ crk ∈(θ cr_o_k ,θ cr_i_k ) and two scroll profiles φ i ∈(φ cR_i_k ,φ E ), φ o ∈(φ cR_o_k ,φ E +2α), scroll profile φ i ∈(φ cr_i_k ,φ E ), φ o ∈(φ cr_o_k ,φ E +2α).

[0062] For the first section of the scroll, the dynamic and static disk line equations are as follows:

[0063]

[0064] In the formula, (x i_0 ,y i_0 ) is the horizontal and vertical coordinates of the inner profile of the first scroll, (x o_0 ,y o_0 ) is the horizontal and vertical coordinates of the outer profile of the first scroll, a is the base circle radius, φ i is the first scroll inner profile angle, φ o is the first scroll outer profile angle, α is the base circle angle, φ E The final angle of the involute of the center plane of the vortex circle in the scroll disk;

[0065] The profile of the moving or static disk at the first step is as follows:

[0066]

[0067] In the formula, (x i_1 ,y i_1 ) is the horizontal and vertical coordinates of the inner side line at the first step, (x cR_1 ,y cR_1 ) is the horizontal and vertical coordinates of the arc segment of the first step, (x o_1 ,y o_1 ) is the horizontal and vertical coordinates of the outer profile line at the first step, (x cR_o_1 ,y cR_o_1 ) is the starting horizontal and vertical coordinates of the large arc at the first step, φ cR_i_1 is the starting angle of the inner profile at the first step, φ cR_o_1 is the starting angle of the outer profile at the first step, θcR_1 is the profile angle of the large arc at the first step, θ cR_o_1 ,θ cR_i_1 They are the starting angle and final angle of the center plane of the large arc profile angle at the first step respectively;

[0068]

[0069] In the formula, (x cr_1 ,y cr_1 ) is the horizontal and vertical coordinates of the small arc segment line at the first step, (x cR_o_1 ,y cR_o_1 ) is the starting horizontal and vertical coordinates of the small arc at the first step, φ cr_i_1 is the starting angle of the inner profile at the first step, φ cr_o_1 is the starting angle of the outer profile at the first step, θ cr1 is the profile angle of the small arc at the first step, θ cr_o_1 ,θ cr_i_1 They are the starting angle and final angle of the center plane of the small arc profile angle at the first step respectively;

[0070] The profile of the moving disk or static disk at the nth step is as follows:

[0071]

[0072] In the formula, (x i_n ,y i_n ) is the horizontal and vertical coordinates of the inner profile line at the nth step, (x cR_n ,y cR_n ) is the horizontal and vertical coordinates of the arc segment profile at the nth step, (x o_n ,y o_n ) is the horizontal and vertical coordinates of the outer profile line at the nth step, (x cR_o_n ,y cR_o_n ) is the starting horizontal and vertical coordinates of the large arc at the nth step, φ cR_i_n is the starting angle of the inner profile at the nth step, φ cR_o_n is the starting angle of the outer profile at the nth step, θ cR_n is the profile angle of the large arc at the nth step, θ cR_o_n ,θ cR_i_n They are the starting angle and the final angle of the center plane of the large arc profile angle at the nth step respectively;

[0073]

[0074] In the formula, (x cr_n ,y cr_n ) is the horizontal and vertical coordinates of the small arc segment line at the nth step, (x cr_o_n ,y cr_o_n) is the starting horizontal and vertical coordinates of the small arc at the nth step, φ cr_i_n is the starting angle of the inner profile at the nth step, φ cR_o_n is the starting angle of the outer profile at the nth step, θ cr_n is the profile angle of the small arc at the nth step, θ cr_o_n ,θ cr_i_n They are respectively the starting angle and the final angle of the center plane of the small arc profile angle at the nth step.

[0075] Furthermore, for a single-sided scroll with equal wall thickness and variable tooth height, the scroll profile is symmetrical, and the profile is arranged on either side. If the moving disk has a large stepped arc on the tooth root, the stationary disk has a small stepped arc on the tooth height side; if the stationary disk has a large stepped arc on the tooth root side, the moving disk has a small stepped arc on the tooth height side; and for a double-sided scroll with equal wall thickness and variable tooth height, the scroll profile is symmetrical, and the profile is arranged on both sides at the same time. The moving disk has a large stepped arc on the tooth root side and a small stepped arc on the tooth height side, and the corresponding meshing stationary disk has a small stepped arc on the tooth height side and a large stepped arc on the tooth root side.

[0076] Given the kth step tooth height and the angle position of the step arc, the required parameters of each arc size and the arc starting angle θ are obtained according to the following expressions: c_i_n With the end angle θ c_o_n , and the coordinates of the center of the circle (x c_o_n ,y c_o_n ), where the large arc is represented by R and the small arc is represented by r:

[0077]

[0078] In the formula, (x cR_o_n ,y cR_o_n ) is the horizontal and vertical coordinates of the center of the large arc at the nth step, is the horizontal and vertical coordinates of the intersection of the large arc at the nth step and the inner profile of the scroll, is the horizontal and vertical coordinates of the intersection of the large arc at the nth step and the outer contour line of the scroll; (x cr_o_n ,y cr_o_n ) is the horizontal and vertical coordinates of the center of the small arc at the nth step, is the horizontal and vertical coordinates of the intersection of the small arc at the nth step and the inner profile of the scroll, is the horizontal and vertical coordinates of the intersection of the small arc at the nth step and the outer profile of the scroll;

[0079]

[0080] In the formula, θ cR_i_n is the starting angle of the large arc at the nth step, θ cR_o_n is the end angle of the large arc at the nth step; θ cr_i_nis the starting angle of the small arc at the nth step, θ cr_o_n It is the ending angle of the small arc at the nth step.

[0081] See also Figure 6 Considering the thermal deformation of the scroll, the deformation along the scroll plane xy is set to be uniform, the deformation along the scroll height is set to be non-uniform, and the arc deformation at the step is set to be uniform, equidistant from the center of the circle; the deformation of the scroll after thermal stabilization under the main operating conditions is taken as the design basis, and the deformation of the scroll after thermal stabilization under the extreme conditions is the minimum guarantee target; the deformation of the scroll along the xy direction of the scroll plane is δ0, δ1, δ2 according to the different compression chambers, and the large arc deformation at each step is δ C1 ,...,δ Ck , the deformation of the small arc is δ c1 ,...,δ ck ; The maximum deformation at the beginning of deformation in the axial direction is δ z0 , the tail deformation is δ z1 The deformation at the step is related to the change in tooth height and varies linearly with the vortex angle, which is given by δ z0 Change to δ z1 , then the profile of the variable tooth height scroll with equal wall thickness after deformation is:

[0082] For the first scroll, the dynamic and static disk line equations are as follows after considering thermal deformation:

[0083]

[0084] In the formula, (x′ i_0 ,y′ i_0 ) is the horizontal and vertical coordinates of the inner profile of the first scroll after thermal deformation, (x′ o_0 ,y′ o_0 ) is the horizontal and vertical coordinates of the outer line of the first scroll after thermal deformation is considered, z′0 is the coordinate of the axial direction of the line of the first scroll after thermal deformation is considered; when thermal deformation is not considered, the horizontal and vertical coordinates of the inner line of the first scroll are (x i_0 ,y i_0 ), the horizontal and vertical coordinates of the outer profile of the first scroll section are (x o_0 ,y o_0 ), the coordinate of the first scroll line in the axial direction is z0; δ N is the deformation parameter corresponding to different compression chambers, δ0 is the deformation parameter corresponding to the central compression chamber, δ1 is the deformation parameter corresponding to the second compression chamber, δ2 is the deformation parameter corresponding to the third compression chamber, φ is the rotation angle of the movable scroll relative to the static scroll; k is the slope of coordinate change, δ z0 , δ z0 The rotation angle is 0, φ E The corresponding thermal deformation gap height when ;

[0085] At the nth step, the profile of the moving disk or the static disk is as follows:

[0086]

[0087] In the formula, (x′ i_n ,y′ i_n ) is the horizontal and vertical coordinates of the inner profile after thermal deformation at the nth step, (x′ cR_n ,y′ cR_n ) is the horizontal and vertical coordinates of the profile of the large arc at the nth step after thermal deformation, (x′ o_n ,y′ o_n ) is the horizontal and vertical coordinates of the outer line after considering thermal deformation at the nth step; when thermal deformation is not considered, the horizontal and vertical coordinates of the inner line at the nth step are (x i_n ,y i_n ), the horizontal and vertical coordinates of the large arc line at the nth step are (x cR_n ,y cR_n ), the horizontal and vertical coordinates of the outer profile at the nth step are (x o_n ,y o_n );δ C is the deformation parameter corresponding to different steps, δ C1 is the deformation parameter corresponding to the first step, δ Ck is the deformation parameter corresponding to the kth step;

[0088]

[0089] In the formula, (x′ cr_n ,y′ cr_n ) is the horizontal and vertical coordinates of the small arc at the nth step after thermal deformation, z′ n is the coordinate of the axial direction of the profile of the nth scroll after thermal deformation is considered; when thermal deformation is not considered, the horizontal and vertical coordinates of the small arc profile at the nth step are (x cr_n ,y cr_n ), the coordinate of the axial direction of the scroll profile of the nth section is z n ; δ zn The rotation angle is φ oi_n The corresponding thermal deformation gap height.

[0090] Furthermore, for a single-sided scroll with equal wall thickness and variable tooth height, the scroll profile is symmetrical, and the profile is arranged on either side. If the moving disk has a large stepped arc on the tooth root, the stationary disk has a small stepped arc on the tooth height side; if the stationary disk has a large stepped arc on the tooth root side, the moving disk has a small stepped arc on the tooth height side; and for a double-sided scroll with equal wall thickness and variable tooth height, the scroll profile is symmetrical, and the profile is arranged on both sides at the same time. The moving disk has a large stepped arc on the tooth root side and a small stepped arc on the tooth height side, and the corresponding meshing stationary disk has a small stepped arc on the tooth height side and a large stepped arc on the tooth root side.

[0091] The scroll profile produced by the design method of the present invention can regulate the variation law of the volume working chamber and the variation law of the gap caused by thermal deformation, thereby realizing flexible adjustment of the geometric performance of the profile, and further realizing improvement of the thermal performance of the scroll machine.

[0092] Another embodiment of the present invention further provides a scroll compressor having a scroll disk of the scroll compressor with stepped tooth height and equal wall thickness taking thermal deformation into consideration.

[0093] The step-variable tooth height and equal wall thickness scroll compressor scroll considering thermal deformation described in the embodiment of the present invention can be calculated and designed by computer software. Another embodiment of the present invention also proposes a computer-readable storage medium, which stores a computer program, and when the computer program is executed by a processor, it realizes the design of the step-variable tooth height and equal wall thickness scroll compressor scroll considering thermal deformation.

[0094] The present application implements all or part of the processes in the above-mentioned embodiment method, which can be completed by instructing the relevant hardware through a computer program, and the computer program can be stored in a computer-readable storage medium, and the computer program includes a computer program code, and the computer program code can be in source code form, object code form, executable file or some intermediate form, etc. The computer-readable medium may at least include: any entity or device that can carry the computer program code to the camera / terminal device, a recording medium, a computer memory, a read-only memory (ROM, Read-Only Memory), a random access memory (RAM, Random Access Memory), an electric carrier signal, a telecommunication signal, and a software distribution medium. For example, a USB flash drive, a mobile hard disk, a magnetic disk or an optical disk, etc. For ease of explanation, the above content only shows the part related to the embodiment of the present invention. The computer-readable storage medium is non-temporary and can be stored in a storage device formed by various electronic devices, and can implement the execution process recorded in the embodiment of the present invention.

[0095] The embodiments described above are only used to illustrate the technical solutions of the present application, rather than to limit them. Although the present application has been described in detail with reference to the aforementioned embodiments, a person skilled in the art should understand that the technical solutions described in the aforementioned embodiments may still be modified, or some of the technical features may be replaced by equivalents. Such modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the embodiments of the present application, and should all be included in the protection scope of the present application.

Claims

1. A scroll of a scroll compressor with stepped variable tooth height and equal wall thickness taking into account thermal deformation, characterized in that: It comprises a moving and stationary disk with the same stepped tooth height changing main body design profile; the stepped tooth height changing main body design profile makes the arc of the tooth height changing section profile inscribed on the tooth height changing side, which differs by 180° in the stepped tooth height changing main body design profile; the stepped section large arc diameter of the stepped tooth height changing main body design profile is related to the pitch and wall thickness of the scroll, and the stepped section small arc diameter is equal to the wall thickness of the scroll body; starting from the starting end of the scroll body, the tooth height of each tooth height changing section shows an increasing trend, and the scroll tooth root shows a decreasing trend.

2. The scroll of the scroll compressor with stepped variable tooth height and equal wall thickness considering thermal deformation according to claim 1, characterized in that: If the moving and stationary disks only have stepped large arc or stepped small arc profiles, the structure is a single-sided equal wall thickness variable tooth height scroll, and the single-sided equal wall thickness variable tooth height scroll is a moving disk tooth high convex scroll or a stationary disk tooth high convex scroll; If both the moving and static disks have stepped large arc or stepped small arc profiles, the structure is a double-sided equal wall thickness variable tooth high vortex disk, and the double-sided equal wall thickness variable tooth high vortex disk is a moving and static disk tooth high convex type vortex disk.

3. The scroll of the scroll compressor with stepped variable tooth height and equal wall thickness considering thermal deformation according to claim 2, characterized in that: The step-variable tooth height main body design profile is constructed as follows: Given the base circle angle α, base circle radius a, number of tooth height change sections k, and height of each tooth height h_n (n=0, ...n, ...k), where n=0 represents a scroll compressor with equal tooth height and equal wall thickness, for the last k-th step: φ cR_i_k is the inner side angle of the kth step large arc, φ cR_o_k is the outer extension angle of the kth step large arc; φ cr_i_k The inner side angle of the kth step arc, φ cr_o_k is the outer angle of the k-th step large arc; The step-variable tooth height main body design profile is constructed without distinguishing between the dynamic and static disks. The profile of the first section of the scroll is the profile of the portion with unchanged tooth height. The profile at the first step is composed of a large arc θ cR_1 ∈(θ cR_o_1 ,θ cR_i_1 ), small arc θ cr1 ∈(θ cr_o_1 ,θ cr_i_1 ) and two scroll profiles φ i ∈(φ cR_i_1 ,φ E ), φ o ∈(φ cR_o_1 ,φ E +2α), scroll profile φ i ∈(φ cr_i_1 ,φ E ), φ o ∈(φ cr_o_1 ,φ E +2α); the second step is composed of a large arc θ cR_2 ∈(θ cR_o_2 ,θ cR_i_2 ), small arc θ cr2 ∈(θ cr_o_2 ,θ cr_i_2 ) and two scroll profiles φ i ∈(φ cR_i_2 ,φ E ), φ o ∈(φ cR_o_2 ,φ E +2α), scroll profile φ i ∈(φ cr_i_2 ,φ E ), φ o ∈(φ cr_o_2 ,φ E +2α); and so on, the profile at the kth step is composed of a large arc θ cR_k ∈(θ cR_o_k ,θ cR_i_k ), small arc θ crk ∈(θ cr_o_k ,θ cr_i_k ) and two scroll profiles φ i ∈(φ cR_i_k ,φ E ), φ o ∈(φ cR_o_k ,φ E +2α), scroll profile φ i ∈(φ cr_i_k ,v E ), φ o ∈(φ cr_o_k ,φ E +2α).

4. The scroll of the scroll compressor with stepped tooth height and equal wall thickness considering thermal deformation according to claim 3 is characterized in that: For the first section of the scroll, the dynamic and static disk line equations are as follows: In the formula, (x i_0 ,y i_0 ) is the horizontal and vertical coordinates of the inner profile of the first scroll, (x o_0 ,y o_0 ) is the horizontal and vertical coordinates of the outer profile of the first scroll, a is the base circle radius, φ i is the first scroll inner profile angle, φ o is the first scroll outer profile angle, α is the base circle angle, φ E The final angle of the involute of the center plane of the vortex circle in the scroll disk; The profile of the moving or static disk at the first step is as follows: In the formula, (x i_1 ,y i_1 ) is the horizontal and vertical coordinates of the inner side line at the first step, (x cR_1 ,y cR_1 ) is the horizontal and vertical coordinates of the arc segment of the first step, (x o_1 ,y o_1 ) is the horizontal and vertical coordinates of the outer profile line at the first step, (x cR_o_1 ,y cR_o_1 ) is the starting horizontal and vertical coordinates of the large arc at the first step, φ cR_i_1 is the starting angle of the inner profile at the first step, φ cR_o_1 is the starting angle of the outer profile at the first step, θ cR_1 is the profile angle of the large arc at the first step, θ cR_o_1 ,θ cR_i_1 They are the starting angle and final angle of the center plane of the large arc profile angle at the first step respectively; In the formula, (x cr_1 ,y cr_1 ) is the horizontal and vertical coordinates of the small arc segment line at the first step, (x cR_o_1 ,y cR_o_1 ) is the starting horizontal and vertical coordinates of the small arc at the first step, φ cr_i_1 is the starting angle of the inner profile at the first step, φ cr_o_1 is the starting angle of the outer profile at the first step, θ cr1 is the profile angle of the small arc at the first step, θ cr_o_1 ,θ cr_i_1 They are the starting angle and final angle of the center plane of the small arc profile angle at the first step respectively; The profile of the moving disk or static disk at the nth step is as follows: In the formula, (x i_n ,y i_n ) is the horizontal and vertical coordinates of the inner profile line at the nth step, (x cR_n ,y cR_n ) is the horizontal and vertical coordinates of the arc segment profile at the nth step, (x o_n ,y o_n ) is the horizontal and vertical coordinates of the outer profile line at the nth step, (x cR_o_n ,y cR_o_n ) is the starting horizontal and vertical coordinates of the large arc at the nth step, φ cR_i_n is the starting angle of the inner profile at the nth step, φ cR_o_n is the starting angle of the outer profile at the nth step, θ cR_n is the profile angle of the large arc at the nth step, θ cR_o_n ,θ cR_i_n They are the starting angle and the final angle of the center plane of the large arc profile angle at the nth step respectively; In the formula, (x cr_n ,y cr_n ) is the horizontal and vertical coordinates of the arc segment profile at the nth step, (x cr_o_n ,y cr_o_n ) is the starting horizontal and vertical coordinates of the small arc at the nth step, φ cr_i_n is the starting angle of the inner profile at the nth step, φ cR_o_n is the starting angle of the outer profile at the nth step, θ cr_n is the profile angle of the small arc at the nth step, θ cr_o_n ,θ cr_i_n They are respectively the starting angle and the final angle of the center plane of the small arc profile angle at the nth step.

5. The scroll of the scroll compressor with stepped variable tooth height and equal wall thickness considering thermal deformation according to claim 4, characterized in that: For a single-sided scroll with constant wall thickness and variable tooth height, the scroll profile is symmetrical. If the profile is arranged on any side, if the moving disk has a large stepped arc at the tooth root, the stationary disk has a small stepped arc at the tooth height side; if the stationary disk has a large stepped arc at the tooth root side, the moving disk has a small stepped arc at the tooth height side. For the double-sided equal-wall-thickness and variable-tooth-height scroll, the scroll profile is symmetrical and arranged on both sides at the same time. The moving disk has a large stepped arc on the tooth root side and a small stepped arc on the tooth height side. The corresponding meshing stationary disk has a small stepped arc on the tooth height side and a large stepped arc on the tooth root side.

6. The scroll of the scroll compressor with stepped variable tooth height and equal wall thickness considering thermal deformation according to claim 4, characterized in that: Given the kth step tooth height and the angle position of the step arc, the required parameters of each arc size and the arc starting angle θ are obtained according to the following expressions: c_i_n With the end angle θ c_o_n , and the coordinates of the center of the circle (x c_o_n ,y c_o_n ): In the formula, (x cR_o_n ,y cR_o_n ) is the horizontal and vertical coordinates of the center of the large arc at the nth step, is the horizontal and vertical coordinates of the intersection of the large arc at the nth step and the inner profile of the scroll, is the horizontal and vertical coordinates of the intersection of the large arc at the nth step and the outer contour line of the scroll; (x cr_o_n ,y cr_o_n ) is the horizontal and vertical coordinates of the center of the small arc at the nth step, is the horizontal and vertical coordinates of the intersection of the small arc at the nth step and the inner profile of the scroll, is the horizontal and vertical coordinates of the intersection of the small arc at the nth step and the outer profile of the scroll; In the formula, θ cR_i_n is the starting angle of the large arc at the nth step, θ cR_o_n is the end angle of the large arc at the nth step; θ cr_i_n is the starting angle of the small arc at the nth step, θ cr_o_n It is the ending angle of the small arc at the nth step.

7. The scroll of the scroll compressor with stepped variable tooth height and equal wall thickness considering thermal deformation according to claim 4, characterized in that: Considering the thermal deformation of the scroll, the deformation along the scroll plane xy is set to be uniform, the deformation along the scroll height is set to be non-uniform, and the arc deformation at the step is set to be uniform, equidistant from the center of the circle; the deformation of the scroll after thermal stabilization under the main operating conditions is taken as the design basis, and the deformation of the scroll after thermal stabilization under the extreme conditions is the minimum guarantee target; the deformation of the scroll along the xy direction of the scroll plane is δ0, δ1, δ2 according to the different compression chambers, and the large arc deformation at each step is δ C1 ,...,δ Ck , the deformation of the small arc is δ c1 ,...,δ ck ; The maximum deformation at the beginning of deformation in the axial direction is δ z0 , the tail deformation is δ z1 The deformation at the step is related to the change in tooth height and varies linearly with the vortex angle, which is given by δ z0 Change to δ z1 , then the profile of the variable tooth height scroll with equal wall thickness after deformation is: For the first scroll, the dynamic and static disk line equations are as follows after considering thermal deformation: In the formula, (x′ i_0 ,y′ i_0 ) is the horizontal and vertical coordinates of the inner profile of the first scroll after thermal deformation, (x′ o_0 ,y′ o_0 ) is the horizontal and vertical coordinates of the outer line of the first scroll after thermal deformation is considered, z′0 is the coordinate of the axial direction of the line of the first scroll after thermal deformation is considered; when thermal deformation is not considered, the horizontal and vertical coordinates of the inner line of the first scroll are (x i_0 ,y i_0 ), the horizontal and vertical coordinates of the outer profile of the first scroll section are (x o_0 ,y o_0 ), the coordinate of the first scroll line in the axial direction is z0; δ N is the deformation parameter corresponding to different compression chambers, δ0 is the deformation parameter corresponding to the central compression chamber, δ1 is the deformation parameter corresponding to the second compression chamber, δ2 is the deformation parameter corresponding to the third compression chamber, φ is the rotation angle of the movable scroll relative to the static scroll; k is the slope of coordinate change, δ z0 ,δ z0 The rotation angle is 0, φ E The corresponding thermal deformation gap height when ; At the nth step, the profile of the moving disk or the static disk is as follows: In the formula, (x′ i_n ,y′ i_n ) is the horizontal and vertical coordinates of the inner profile after thermal deformation at the nth step, (x′ cR_n ,y′ cR_n ) is the horizontal and vertical coordinates of the profile of the large arc at the nth step after thermal deformation, (x′ o_n ,y′ o_n ) is the horizontal and vertical coordinates of the outer line after considering thermal deformation at the nth step; when thermal deformation is not considered, the horizontal and vertical coordinates of the inner line at the nth step are (x i_n ,y i_n ), the horizontal and vertical coordinates of the large arc line at the nth step are (x cR_n ,y cR_n ), the horizontal and vertical coordinates of the outer profile at the nth step are (x o_n ,y o_n );δ C is the deformation parameter corresponding to different steps, δ C1 is the deformation parameter corresponding to the first step, δ Ck is the deformation parameter corresponding to the kth step; In the formula, (x′ cr_n ,y′ cr_n ) is the horizontal and vertical coordinates of the small arc at the nth step after thermal deformation, z′ n is the coordinate of the axial direction of the profile of the nth scroll after thermal deformation is considered; when thermal deformation is not considered, the horizontal and vertical coordinates of the small arc profile at the nth step are (x cr_n ,y cr_n ), the coordinate of the axial direction of the scroll profile of the nth section is z n ; δ zn The rotation angle is φ oi_n The corresponding thermal deformation gap height.

8. The scroll of the scroll compressor with stepped tooth height and equal wall thickness considering thermal deformation according to claim 7, characterized in that: For a single-sided scroll with constant wall thickness and variable tooth height, the scroll profile is symmetrical. If the profile is arranged on any side, if the moving disk has a large stepped arc at the tooth root, the stationary disk has a small stepped arc at the tooth height side; if the stationary disk has a large stepped arc at the tooth root side, the moving disk has a small stepped arc at the tooth height side. For the double-sided equal-wall-thickness and variable-tooth-height scroll, the scroll profile is symmetrical and arranged on both sides at the same time. The moving disk has a large stepped arc on the tooth root side and a small stepped arc on the tooth height side. The corresponding meshing stationary disk has a small stepped arc on the tooth height side and a large stepped arc on the tooth root side.

9. A scroll compressor, characterized in that: A scroll compressor scroll with stepped tooth height and equal wall thickness taking thermal deformation into consideration as claimed in any one of claims 1 to 8.

10. A computer-readable storage medium storing a computer program, characterized in that: When the computer program is executed by the processor, it realizes the design of a scroll disk of a scroll compressor with stepped variable tooth height and equal wall thickness taking into account thermal deformation as described in any one of claims 1 to 8.

Citation Information

Patent Citations

  • Vortex tooth, fixed vortex disc, movable vortex disc, compressor and refrigeration equipment

    CN107420303A

  • Scroll compressor with asymmetric molded lines

    CN111173740A

  • Design method of variable-pitch internal meshing screw rotor and double-screw compressor rotor

    CN113153741A

  • Inscribed gear pump or motor

    JP1992203373A

  • Scroll compressor and air conditioning device including the same

    JP2017186948A