A stepped tooth height and high wall thickness scroll of a scroll compressor considering thermal deformation

Abstract

The application discloses a stepped tooth height high wall thickness scroll compressor scroll considering thermal deformation, which comprises a dynamic and static disc with a same stepped tooth height main body design profile line; the stepped tooth height main body design profile line is internally tangent to a tooth height transformation section profile line on a tooth height change side, and the stepped tooth height main body design profile line is different by 180 degrees; the large circle arc diameter of the stepped section of the stepped tooth height main body design profile line is related to the scroll pitch and the wall thickness, and the small circle arc diameter of the stepped section is equal to the scroll wall thickness; the tooth height of each tooth height transformation section shows an increasing change trend from the scroll body start end, and the scroll tooth root shows a decreasing change trend. The stepped tooth height main body design profile line considers the global circumferential gap, the axial gap of each step and the circular arc meshing gap, can regulate and control the volume working chamber change law and the gap change law caused by thermal deformation, realizes flexible adjustment of the geometric performance of the variable tooth height scroll profile line, and further realizes improvement of the thermal performance of the scroll machine.

Description

TECHNICAL FIELD

[0001] The application belongs to the field of scroll machines, and relates to a stepped variable-tooth-height high-wall-thickness scroll compressor scroll plate considering thermal deformation. BACKGROUND

[0002] An equal-tooth-height scroll plate often needs a large diameter to increase its displacement when the displacement is large, but a too large scroll plate diameter causes a too large scroll plate rotational inertia force, poor scroll machine dynamic balance, and problems of a large rotor stress deformation under a high pressure difference working condition and a large thermal deformation under a high temperature working condition. Therefore, a variable-tooth-height scroll machine can be used to reduce the size of the scroll plate, and only a little size is increased in the tooth height direction. Various three-dimensional structures of stepped variable-tooth-height machines are given at home and abroad, but only modeling and gap setting are performed on the structures. SUMMARY

[0003] The application aims to solve the problems in the prior art, and provides a stepped variable-tooth-height high-wall-thickness scroll compressor scroll plate considering thermal deformation, gives scroll profiles of stepped variable-tooth-height segments considering thermal deformation, considers global circumferential gaps, axial gaps of the segments, and circular arc meshing gaps, and can control volume working chamber change rules and gap change rules caused by thermal deformation.

[0004] To achieve the above object, the application has the following technical scheme:

[0005] In a first aspect, a stepped variable-tooth-height high-wall-thickness scroll compressor scroll plate considering thermal deformation is provided, which includes a dynamic scroll plate and a static scroll plate with the same stepped variable-tooth-height main body design profile. The stepped variable-tooth-height main body design profile is internally tangent to a circular arc of a tooth height transformation segment profile on a tooth height change side, and the stepped variable-tooth-height main body design profiles are different by 180 degrees. The large circular arc diameter of the stepped variable-tooth-height main body design profile is related to the scroll plate pitch and wall thickness, and the small circular arc diameter of the stepped variable-tooth-height main body design profile is equal to the scroll body wall thickness. The tooth height of each tooth height transformation segment shows an increasing change trend from the beginning of the scroll body, and the scroll plate tooth root shows a decreasing change trend.

[0006] As a preferred scheme, if the dynamic scroll plate and the static scroll plate only have the stepped variable-tooth-height main body design profile, the structure is a single-side equal-wall-thickness variable-tooth-height scroll plate, and the single-side equal-wall-thickness variable-tooth-height scroll plate is a dynamic scroll plate tooth height convex scroll plate or a static scroll plate tooth height convex scroll plate.

[0007] If the dynamic scroll plate and the static scroll plate both have the stepped variable-tooth-height main body design profile, the structure is a double-side equal-wall-thickness variable-tooth-height scroll plate, and the double-side equal-wall-thickness variable-tooth-height scroll plate is a dynamic scroll plate and a static scroll plate tooth height convex scroll plate.

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

[0009] Given the base circle generating angle α, the base circle radius a, the number of tooth height variation segments k and the tooth height of each segment h_n (n = 0,...n,...k), wherein n = 0 represents an equal tooth height and equal wall thickness scroll compressor, for the last segment of the kth step: φ cR_i_k is the inside development angle of the large circular arc of the kth step, cR_o_k is the outside development angle of the large circular arc of the kth step; cr_i_k is the inside development angle of the small circular arc of the kth step, cr_o_k is the outside development angle of the small circular arc of the kth step;

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

[0011] As a preferred scheme, for the first-stage scroll, the moving and stationary scroll wrap profile equations are as follows:

[0012]

[0013] wherein (x i_0 ,y o_0 ) are the horizontal and vertical coordinates of the first-stage scroll inside profile, (x o_0 ,y i ) are the horizontal and vertical coordinates of the first-stage scroll outside profile, a is the base circle radius, φ o is the first-stage scroll inside profile profile angle, φ E is the first-stage scroll outside profile profile angle, and α is the base circle angle of occurrence, φ i_1 is the final profile angle of the scroll inside scroll circle center surface involute.

[0014] The moving or stationary scroll profile at the first-stage step is as follows:

[0015]

[0016] wherein (x i_1 ,y cR_1 ) are the horizontal and vertical coordinates of the first-stage step inside profile, (x cR_1 ,y o_1 ) are the horizontal and vertical coordinates of the first-stage step large circle arc profile, (x o_1 ,y cR_o_1 ) are the horizontal and vertical coordinates of the first-stage step outside profile, (x cR_o_1 ,y cR_i_1 ) are the starting horizontal and vertical coordinates of the first-stage step large circle arc, φ cR_o_1 is the first-stage step inside profile starting angle, φ cR_1 is the first-stage step outside profile starting angle, θ cR_o_1 is the profile angle of the first-stage step large circle arc, and θ cR_i_1 , θ cr_1 are the center surface starting angle and final angle of the first-stage step large circle arc profile, respectively.

[0017]

[0018] wherein (x cr_1 ,y cr_1 ) is the horizontal and vertical coordinate of the small circular arc segment profile at the first step, (x cR_o_1 ,y cR_o_1 ) is the initial horizontal and vertical coordinate of the small circular arc at the first step, φ cr_i_1 is the initial angle of the inner profile at the first step, φ cr_o_1 is the initial angle of the outer profile at the first step, θ cr1 is the profile development angle of the small circular arc at the first step, θ cr_o_1 , θ cr_i_1 are the initial and final angles of the central surface of the small circular arc profile development angle at the first step, respectively;

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

[0020]

[0021] wherein (x i_n ,y i_n ) is the horizontal and vertical coordinate of the inner profile at the nth step, (x cR_n ,y cR_n ) is the horizontal and vertical coordinate of the large circular arc segment profile at the nth step, (x o_n ,y o_n ) is the horizontal and vertical coordinate of the outer profile at the nth step, (x cR_o_n ,y cR_o_n ) is the initial horizontal and vertical coordinate of the large circular arc at the nth step, φ cR_i_n is the initial angle of the inner profile at the nth step, φ cR_o_n is the initial angle of the outer profile at the nth step, θ cR_n is the profile development angle of the large circular arc at the nth step, θ cR_o_n , θ cR_i_n are the initial and final angles of the central surface of the large circular arc profile development angle at the nth step, respectively;

[0022]

[0023] wherein (x cr_n ,y cr_n ) is the horizontal and vertical coordinate of the small circular arc segment profile at the nth step, (x cr_o_n ,y cr_o_n ) is the initial horizontal and vertical coordinate of the small circular arc at the nth step, φ cr_i_n is the initial angle of the inner profile at the nth step, φ cR_o_n is the initial angle of the outer profile at the nth step, θ cr_n is the profile development angle of the small circular arc at the nth step, θ cr_o_n , θcr_i_n respectively, the initial and final angles of the center surface of the small circular arc profile at the nth step.

[0024] Further, for the single-sided equal-wall-thickness variable-tooth-height scroll, the scroll profile is symmetrical, and the profile is arranged on either side. If the large circular arc of the tooth root step exists on the static disc, the small circular arc of the tooth height step exists on the static disc; if the large circular arc of the tooth root step exists on the static disc, the small circular arc of the tooth height step exists on the dynamic disc.

[0025] For the double-sided equal-wall-thickness variable-tooth-height scroll, the scroll profile is symmetrical, and the profile is arranged on both sides. The large circular arc of the tooth root step and the small circular arc of the tooth height step exist on the dynamic disc, and the small circular arc of the tooth height step and the large circular arc of the tooth root step exist on the corresponding meshing static disc.

[0026] As a preferred scheme, given the tooth height of the kth step and the angle position of the step circular arc, the required parameters of each large and small circular arc, the starting angle θ c_i_n and the ending angle θ c_o_n of the circular arc, and the center coordinates (x c_o_n , y c_o_n ) are obtained according to the following expressions:

[0027]

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

[0029]

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

[0031] As a preferred scheme, considering the thermal deformation of the scroll, the deformation along the scroll plane xy is uniform, the deformation along the scroll height is non-uniform, and the deformation of the circular arc at the step is uniform and equidistant from the center; the deformation of the scroll after thermal stabilization under the main operating condition is taken as the design basis, and the deformation of the scroll after thermal stabilization under the limit operating condition is taken as the minimum guarantee target; the deformation of the scroll along the scroll plane xy direction is δ0, δ1, δ2 according to different compression cavities, the large circular arc deformation at each step is δ C1 ,...,δ Ck , and the small circular arc deformation is δ c1 ,...,δ ck ; the maximum deformation at the beginning of the deformation along the axial direction is δ z0 , and the deformation at the tail end is δ z1 ; the deformation at the step is related to the change of the tooth height and changes linearly with the scroll angle from δ z0 to δ z1 , so the equal-thickness tooth height scroll profile after deformation is:

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

[0033]

[0034] In the formula, (x′ i_0 ,y′ i_0 ) are the horizontal and vertical coordinates of the inner profile of the first segment of the scroll after considering thermal deformation, (x′ o_0 ,y′ o_0 ) are the horizontal and vertical coordinates of the outer profile of the first segment of the scroll after considering thermal deformation, and z′0 is the coordinate of the axial direction of the profile of the first segment of the scroll after considering thermal deformation; without considering thermal deformation, the horizontal and vertical coordinates of the inner profile of the first segment of the scroll are (x i_0 ,y i_0 ), the horizontal and vertical coordinates of the outer profile of the first segment of the scroll are (x o_0 ,y o_0 ), and the coordinate of the axial direction of the profile of the first segment of the scroll is z0; δ N is the deformation parameter corresponding to different compression cavities, δ0 is the deformation parameter corresponding to the central compression cavity, δ1 is the deformation parameter corresponding to the second compression cavity, δ2 is the deformation parameter corresponding to the third compression cavity, and φ is the rotation angle of the dynamic scroll relative to the static scroll; k is the coordinate change slope, δ z0 and δ z0 are the corresponding thermal deformation gap heights when the rotation angle is 0 and φ E

[0035] The dynamic or static scroll profile at the nth step is as follows:

[0036] ​

[0037] In the formula, (x′ i_n ,y′ i_n (x′) represents the x and y coordinates of the inner profile after thermal deformation at the nth step. cR_n ,y′ cR_n (x′) represents the x and y coordinates of the great circle arc at the nth step after considering thermal deformation. o_n ,y′ o_n (x) represents the x and y coordinates of the outer profile at the nth step after considering thermal deformation; without considering thermal deformation, the x and y coordinates of the inner profile at the nth step are (x) i_n ,y i_n The x and y coordinates of the great circle arc at the nth step are (x, y). cR_n ,y cR_n The x and y coordinates of the outer contour line at the nth step are (x... o_n ,y o_n );δ C δ represents the deformation parameters corresponding to different steps. C1 δ represents the deformation parameter corresponding to the first step. Ck Here are the deformation parameters corresponding to the kth step.

[0038]

[0039] In the formula, (x′ cr_n ,y′ cr_n Let z′ be the x and y coordinates of the profile of the small arc at the nth step after considering thermal deformation. n The coordinates of the axial direction of the profile after thermal deformation of the nth segment of the vortex disk are given; without considering thermal deformation, the x and y coordinates of the small circular arc profile at the nth step are (x... cr_n ,y cr_n The coordinate of the nth segment of the vortex disk profile along its axial direction is z. n ;δ zn The rotation angle is φ oi_n The corresponding height of the thermal deformation gap.

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

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

[0042] In a second aspect, a scroll compressor is provided, having the stepped tooth height high wall thickness scroll compressor scroll plate considering thermal deformation.

[0043] In a third aspect, a computer readable storage medium is provided, which stores a computer program, and the computer program is executed by a processor to realize the design of the stepped tooth height high wall thickness scroll compressor scroll plate considering thermal deformation.

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

[0045] The tooth height high scroll plate thermal deformation will have leakage, in order to reduce the leakage, the scroll plate profile considering thermal deformation needs to be given, and the gap includes radial gap, axial gap and stepped section leakage gap. The stepped tooth height high wall thickness scroll compressor scroll plate considering thermal deformation provided by the present application includes a dynamic and static plate having the same stepped tooth height main body design profile, wherein the stepped tooth height main body design profile is not distinguished from the dynamic or static plate profile, the tooth height transformation section profile is inscribed in the circular arc on the tooth height change side, the stepped tooth height main body design profile is different by 180°, the large circular arc diameter of the stepped section is related to the scroll pitch and wall thickness, and the small circular arc diameter of the stepped section is equal to the scroll wall thickness. From the beginning of the scroll, the tooth height of each tooth height transformation section shows an increasing change trend, and the tooth root of the scroll plate shows a decreasing change trend. This stepped tooth height main body design profile considers the overall circumferential gap, the stepped axial gap and the circular arc engagement gap, can control the volume change law of the working chamber and the gap change law caused by thermal deformation, realizes flexible adjustment of the geometric performance of the tooth height high scroll plate profile, and further realizes the improvement of the thermal performance of the scroll machine. BRIEF DESCRIPTION OF DRAWINGS

[0046] Figure 1 The scroll profile schematic diagram of the stepped tooth height high wall thickness scroll compressor scroll plate considering thermal deformation of the embodiment of the present application;

[0047] Figure 2 The relative position of the dynamic and static scroll plate profile and the profile at the first stepped section of the embodiment of the present application;

[0048] Figure 3 The path schematic diagram of the small circular arc and the large circular arc engagement at the first stepped section of the embodiment of the present application;

[0049] Figure 4 The profile schematic diagram at the n(n=3)th stepped section of the embodiment of the present application;

[0050] Figure 5 The path schematic diagram of the small circular arc and the large circular arc engagement at the n(n=3)th stepped section of the embodiment of the present application;

[0051] Figure 6The embodiment of the present application considers the circumferential gap and axial gap distribution of a stepped tooth height high wall thickness scroll compressor scroll. DETAILED DESCRIPTION

[0052] The technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application. Obviously, the described embodiments are only some of the embodiments of the present application, but not all the embodiments. Based on the embodiments in the present application, other embodiments can be obtained by those skilled in the art without creative effort.

[0053] Please refer to Figure 1 The embodiment of the present application considers the stepped tooth height high wall thickness scroll compressor scroll considering thermal deformation, which comprises a dynamic disc and a static disc with the same stepped tooth height main body design profile.

[0054] Please refer to Figure 2 , Figure 3 and Figure 5 The stepped tooth height main body design profile in the embodiment makes the tooth height transformation section profile inscribed in a circular arc on the tooth height change side, and the difference between the stepped tooth height main body design profiles is 180°. The large circular arc diameter of the stepped section of the stepped tooth height main body design profile is related to the pitch and wall thickness of the scroll, and the small circular arc diameter of the stepped section is equal to the wall thickness of the scroll. From the beginning of the scroll, the tooth height of each tooth height transformation section shows an increasing trend, and the tooth root of the scroll shows a decreasing trend.

[0055] If the dynamic disc and the static disc only have the stepped section large circular arc or the stepped section small circular 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 dynamic disc tooth height convex scroll or a static disc tooth height convex scroll.

[0056] If the dynamic disc and the static disc both have the stepped section large circular arc or the stepped section small circular arc profile, the structure is a double-sided equal wall thickness variable tooth height scroll, and the double-sided equal wall thickness variable tooth height scroll is a dynamic disc and static disc tooth height convex scroll.

[0057] The designed main profile can control the volume working chamber variation law and the gap variation law caused by thermal deformation.

[0058] The solution of the main design profile of the stepped tooth height high wall thickness scroll in the embodiment will be described below.

[0059] Given the base circle generating angle α = 0.7557 rad, the base circle radius a = 2.2798 mm, the tooth height change section number k = 3, and the tooth height height h_n (n = 0,...n,...k) = 28 mm, 8 mm, 4 mm; wherein n = 0 represents an equal tooth height high wall thickness scroll. cR_i_kThe inner arc of the k-th step great circle is denoted by φ, which are 18.0938 rad, 17.3084 rad, and 16.2088 rad, respectively; cR_o_k The outer arc of the k-th step great circle is 13.3221 rad, 12.5367 rad, and 11.4372 rad, respectively; φ cr_i_k The inward expansion angles of the k-th step small arc are 14.9522 rad, 14.1668 rad, and 13.0672 rad, respectively; φ cr_o_k The outer arcs of the k-th step great circle are 16.4637 rad, 15.6783 rad, and 14.5788 rad, respectively.

[0060] The main design profile does not distinguish between moving or stationary disc profiles and is used to design variable gear high-step profiles.

[0061] The first section of the scroll profile is the profile of the portion without variable tooth height, and it represents the overall design profile. For example... Figure 4 As shown, the profile at the first step is formed by a great circle 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 sections of vortex profile φ i ∈(φ cR_i_1 ,φ E ), φ o ∈(φ cR_o_1 ,φ E +2α), vortex shape φ i ∈(φ cr_i_1 ,φ E ), φ o ∈(φ cr_o_1 ,φ E +2α) is composed of the shape at the second step, which is composed of a great circle 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 sections of vortex profile φ i ∈(φ cR_i_2 ,φ E ), φ o ∈(φ cR_o_2 ,φ E +2α), vortex shape φ i ∈(φ cr_i_2 ,φ E ), φ o ∈(φ cr_o_2 ,φ E+ 2a) is composed of a circle arc θ cR_k ∈(θ cR_o_k , θ cR_i_k ), a circle arc θ crk ∈(θ cr_o_k , θ cr_i_k ), and two sections of the vortex disc profile φ i ∈(φ cR_i_k , φ E ), φ o ∈(φ cR_o_k , φ E + 2a), the vortex disc profile φ i ∈(φ cr_i_k , φ E ), and φ o ∈(φ cr_o_k , φ E + 2a).

[0062] For the first section of the vortex disc, the equations of the moving disc profile and the stationary disc profile are as follows:

[0063]

[0064] where (x i_0 , y i_0 ) are the horizontal and vertical coordinates of the inner profile of the first section of the vortex disc, (x o_0 , y o_0 ) are the horizontal and vertical coordinates of the outer profile of the first section of the vortex disc, a is the base circle radius, φ i is the profile angle of the inner profile of the first section of the vortex disc, φ o is the profile angle of the outer profile of the first section of the vortex disc, a is the base circle generating angle, and φ E is the final profile angle of the involute of the inner vortex ring center surface of the vortex disc.

[0065] The moving disc profile or the stationary disc profile at the first section of the step is as follows:

[0066]

[0067] where (x i_1 , y i_1 ) are the horizontal and vertical coordinates of the inner profile at the first section of the step, (x cR_1 , y cR_1 ) are the horizontal and vertical coordinates of the profile of the circle arc section at the first section of the step, (x o_1 , y o_1 ) are the horizontal and vertical coordinates of the outer profile at the first section of the step, (x cR_o_1 , y cR_o_1 ) are the initial horizontal and vertical coordinates of the circle arc at the first section of the step, φ cR_i_1 is the initial angle of the inner profile at the first section of the step, φ cR_o_1 is the initial angle of the outer profile at the first section of the step, and θcR_1 θ is the profile angle of the large circular arc at the first step; cR_o_1 , θ cR_i_1 are the initial and final central surface angles of the profile angle of the large circular arc at the first step, respectively;

[0068]

[0069] where (x cr_1 , y cr_1 ) are the horizontal and vertical coordinates of the small circular arc segment profile at the first step, (x cR_o_1 , y cR_o_1 ) are the initial horizontal and vertical coordinates of the small circular arc at the first step, φ cr_i_1 is the initial angle of the inner profile at the first step, φ cr_o_1 is the initial angle of the outer profile at the first step, θ cr1 is the profile angle of the small circular arc at the first step, θ cr_o_1 , θ cr_i_1 are the initial and final central surface angles of the profile angle of the small circular arc at the first step, respectively;

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

[0071]

[0072] where (x i_n , y i_n ) are the horizontal and vertical coordinates of the inner profile at the nth step, (x cR_n , y cR_n ) are the horizontal and vertical coordinates of the large circular arc segment profile at the nth step, (x o_n , y o_n ) are the horizontal and vertical coordinates of the outer profile at the nth step, (x cR_o_n , y cR_o_n ) are the initial horizontal and vertical coordinates of the large circular arc at the nth step, φ cR_i_n is the initial angle of the inner profile at the nth step, φ cR_o_n is the initial angle of the outer profile at the nth step, θ cR_n is the profile angle of the large circular arc at the nth step, θ cR_o_n , θ cR_i_n are the initial and final central surface angles of the profile angle of the large circular arc at the nth step, respectively;

[0073]

[0074] where (x cr_n , y cr_n ) are the horizontal and vertical coordinates of the small circular 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 circular 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 development angle of the small circular arc at the nth step, θ cr_o_n , θ cr_i_n are the central face starting angle and final angle of the profile development angle of the small circular arc at the nth step, respectively.

[0075] Further, for a single-sided equal wall thickness variable tooth height scroll, the scroll profile is symmetrical, and the profile is arranged on either side. If the dynamic disc has a stepped large circular arc at the tooth root, the static disc has a stepped small circular arc at the tooth height side; if the static disc has a stepped large circular arc at the tooth root side, the dynamic disc has a stepped small circular arc at the tooth height side; and for a double-sided equal wall thickness variable tooth height scroll, the scroll profile is symmetrical, and the profile is arranged on both sides. The dynamic disc has a stepped large circular arc at the tooth root side and a stepped small circular arc at the tooth height side, and the corresponding meshing static disc has a stepped small circular arc at the tooth height side and a stepped large circular arc at the tooth root side.

[0076] Given the tooth height height of the kth step and the angle position of the stepped circular arc, the required parameters of each size circular arc, the starting angle θ c_i_n and the ending angle θ c_o_n of the circular arc, and the center coordinates (x c_o_n , y c_o_n ) are obtained according to the following expressions:

[0077]

[0078] In the formula, (x cR_o_n , y cR_o_n ) are the center horizontal and vertical coordinates of the large circular arc at the nth step, are the horizontal and vertical coordinates of the intersection point of the large circular arc at the nth step and the inner profile of the scroll, are the horizontal and vertical coordinates of the intersection point of the large circular arc at the nth step and the outer profile of the scroll; (x cr_o_n , y cr_o_n ) are the center horizontal and vertical coordinates of the small circular arc at the nth step, are the horizontal and vertical coordinates of the intersection point of the small circular arc at the nth step and the inner profile of the scroll, are the horizontal and vertical coordinates of the intersection point of the small circular 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 circular arc at the nth step, θ cR_o_n is the ending angle of the large circular arc at the nth step; θ cr_i_nθ cr_o_n is the starting angle of the small circular arc at the nth step.

[0081] Please refer to Figure 6 , considering the thermal deformation of the vortex disc, set the deformation along the vortex disc plane xy as uniform deformation, the deformation along the vortex disc height as non-uniform deformation, the deformation of the circular arc at the step as uniform deformation, and the center is equidistant; the deformation of the vortex disc after thermal stabilization under the main operating condition is the design basis, and the deformation of the vortex disc after thermal stabilization under the limit condition is the minimum guarantee target; the deformation of the vortex disc along the vortex disc plane xy direction is δ0, δ1, δ2 according to different compression cavities, the deformation of the large circular arc at each step is δ C1 ,...,δ Ck , and the deformation of the small circular arc is δ c1 ,...,δ ck ; the maximum deformation of the deformation starting end along the axial direction is δ z0 , and the tail end deformation is δ z1 ; the deformation at the step is related to the change of the tooth height, and changes linearly with the vortex circle angle, from δ z0 to δ z1 , then the equal wall thickness tooth height vortex disc profile after considering the deformation is:

[0082] For the first vortex disc, the dynamic and static disc profile equations after considering thermal deformation are as follows:

[0083]

[0084] In the formula, (x′ i_0 ,y′ i_0 ) are the horizontal and vertical coordinates of the inner profile of the first vortex disc considering thermal deformation, (x′ o_0 ,y′ o_0 ) are the horizontal and vertical coordinates of the outer profile of the first vortex disc considering thermal deformation, and z′0 is the coordinate of the axial direction of the profile of the first vortex disc considering thermal deformation; without considering thermal deformation, the horizontal and vertical coordinates of the inner profile of the first vortex disc are (x i_0 ,y i_0 ), the horizontal and vertical coordinates of the outer profile of the first vortex disc are (x o_0 ,y o_0 ), and the coordinate of the axial direction of the profile of the first vortex disc is z0; δ N is the deformation parameter corresponding to different compression cavities, δ0 is the deformation parameter corresponding to the central compression cavity, δ1 is the deformation parameter corresponding to the second compression cavity, δ2 is the deformation parameter corresponding to the third compression cavity, and φ is the rotation angle of the dynamic vortex disc relative to the static vortex disc; k is the coordinate change slope, δ z0 and δ z0 are the corresponding thermal deformation gap heights when the rotation angle is 0 and φ E ;

[0085] At the nth step, the dynamic disc or the static disc profile is as follows:

[0086]

[0087] wherein (x′ i_n ,y′ i_n ) is the inner profile horizontal and vertical coordinate after considering thermal deformation at the nth step, (x′ cR_n ,y′ cR_n ) is the profile horizontal and vertical coordinate after considering thermal deformation at the nth step of the large circular arc, (x′ o_n ,y′ o_n ) is the outer profile horizontal and vertical coordinate after considering thermal deformation at the nth step; without considering thermal deformation, the inner profile horizontal and vertical coordinate at the nth step is (x i_n ,y i_n ), the profile horizontal and vertical coordinate at the nth step of the large circular arc is (x cR_n ,y cR_n ), and the outer profile horizontal and vertical coordinate at the nth step is (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, and δ Ck is the deformation parameter corresponding to the kth step.

[0088]

[0089] wherein (x′ cr_n ,y′ cr_n ) is the profile horizontal and vertical coordinate after considering thermal deformation at the nth step of the small circular arc, and z′ n is the profile axial coordinate after considering thermal deformation at the nth step; without considering thermal deformation, the profile horizontal and vertical coordinate at the nth step of the small circular arc is (x cr_n ,y cr_n ), and the profile axial coordinate at the nth step is z n ; δ zn is the thermal deformation gap height corresponding to the rotation angle of φ oi_n .

[0090] Further, for a single-side equal-wall-thickness variable-tooth-height scroll, the scroll profile is symmetrical, and the profile is arranged on either side. If the dynamic disc has a stepped large circular arc at the tooth root, the static disc has a stepped small circular arc at the tooth height side; if the static disc has a stepped large circular arc at the tooth root side, the dynamic disc has a stepped small circular arc at the tooth height side. For a double-side equal-wall-thickness variable-tooth-height scroll, the scroll profile is symmetrical, and the profile is arranged on both sides. The dynamic disc has a stepped large circular arc at the tooth root side and a stepped small circular arc at the tooth height side, and the corresponding meshing static disc has a stepped small circular arc at the tooth height side and a stepped large circular arc at the tooth root side.

[0091] The scroll disc profile generated by the design method of the application can regulate the volume working chamber variation law, the gap variation law caused by thermal deformation, realize flexible adjustment of the profile geometric performance, and further realize the improvement of the thermodynamic performance of the scroll machine.

[0092] Another embodiment of the application also provides a scroll compressor with the stepped tooth height and high wall thickness scroll compressor scroll disc considering thermal deformation.

[0093] The stepped tooth height and high wall thickness scroll compressor scroll disc considering thermal deformation according to the embodiments of the application can be calculated and designed by computer software. Another embodiment of the application also provides a computer readable storage medium, which stores a computer program, and the computer program is executed by a processor to realize the design of the stepped tooth height and high wall thickness scroll compressor scroll disc considering thermal deformation.

[0094] The computer program can be stored in a computer readable storage medium, and the computer program includes computer program code. The computer program code can be in the form of source code, object code, executable file or some intermediate form. The computer readable medium at least includes any entity or device capable of carrying the computer program code to the photographing device / terminal equipment, recording medium, computer memory, read-only memory (ROM), random access memory (RAM), electrical carrier signal, telecommunication signal and software distribution medium. For example, U disk, mobile hard disk, magnetic disk or optical disk, etc. For the convenience of description, the above only shows part of the application embodiments. The computer readable storage medium is non-transitory and can be stored in the storage device formed by various electronic devices, and can realize the execution process of the method according to the embodiments of the application.

[0095] The above embodiments are only used to illustrate the technical solutions of the application, rather than limit them. Although the application has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that they can modify the technical solutions recorded in the foregoing embodiments, or make equivalent replacement to some technical features. The modification or replacement does not make the essence of the corresponding technical solution deviate from the spirit and scope of the technical solutions of the embodiments of the application, and should be included in the protection scope of the application.

Claims

1. A stepped tooth height high wall thickness scroll compressor scroll considering thermal distortion, characterized in that, The dynamic and static discs include the same stepped tooth height body design profile; the stepped tooth height body design profile is internally tangent to the tooth height transformation segment profile on the tooth height change side, and the stepped tooth height body design profile is different by 180 degrees; the stepped segment large circle arc diameter of the stepped tooth height body design profile is related to the scroll pitch and wall thickness, and the stepped segment small circle arc diameter is equal to the scroll wall thickness; the tooth height of each tooth height transformation segment shows an increasing change trend from the scroll start end, and the scroll root shows a decreasing change trend; If the dynamic and static discs only have the stepped segment large circle arc or stepped segment small circle 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 dynamic disc tooth height convex scroll or a static disc tooth height convex scroll; If the dynamic and static discs both have the stepped segment large circle arc or stepped segment small circle profile, the structure is a double-sided equal wall thickness variable tooth height scroll, and the double-sided equal wall thickness variable tooth height scroll is a dynamic and static disc tooth height convex scroll; The stepped tooth height body design profile is constructed as follows: Given base circle generating angle , base circle radius , number of tooth height variation sections , and tooth height of each section , wherein is expressed as an equal tooth height and high wall thickness scroll compressor, for the last section of the order step: is the first order step large circular arc inside spread angle, is the first order step large circular arc outside spread angle; is the first order step small circular arc inside spread angle, is the first order step large circular arc outside spread angle; The stepped tooth height main body design profile is constructed without distinguishing the moving and static disks, the first section of the scroll profile is the non-tooth height part profile; the first stepped profile is composed of a large circular arc , a small circular arc and two sections of scroll profile , , scroll profile , ; the second stepped profile is composed of a large circular arc , a small circular arc and two sections of scroll profile , , scroll profile , ; and so on, the kth stepped profile is composed of a large circular arc , a small circular arc and two sections of scroll profile , , scroll profile , ​ For the first scroll, the dynamic and static disc profile equations are as follows: ， wherein is the horizontal coordinate of the first section of the inner profile of the scroll, is the horizontal coordinate of the first section of the outer profile of the scroll, is the base circle radius, is the spread angle of the first section of the inner profile of the scroll, is the spread angle of the first section of the outer profile of the scroll, is the base circle angle of origin, is the final spread angle of the involute of the inner scroll ring center plane of the scroll, The dynamic disc or static disc profile at the first stepped segment is as follows: wherein, is the transverse and longitudinal coordinates of the inside profile at the first step, is the transverse and longitudinal coordinates of the large-arc profile at the first step, is the transverse and longitudinal coordinates of the outside profile at the first step, is the initial transverse and longitudinal coordinates of the large-arc at the first step, is the initial angle of the inside profile at the first step, is the initial angle of the outside profile at the first step, is the profile development angle of the large-arc at the first step, are the central face initial and final angles of the profile development angle of the large-arc at the first step, respectively. In the formula, is the horizontal and vertical coordinates of the small circular arc section profile at the first step, is the starting horizontal and vertical coordinates of the small circular arc at the first step, is the starting angle of the inside profile at the first step, is the starting angle of the outside profile at the first step, is the profile development angle of the small circular arc at the first step, are the central surface starting angle and the final angle of the small circular arc profile development angle at the first step, respectively; The first The profile of the moving or stationary disc at the step is as follows: In the formula, is the horizontal coordinate of the inside profile line at the first segment step, is the vertical coordinate of the inside profile line at the first segment step, is the horizontal coordinate of the outside profile line at the first segment step, is the vertical coordinate of the outside profile line at the first segment step, is the initial horizontal coordinate of the large-arc at the first segment step, is the initial angle of the inside profile line at the first segment step, is the initial angle of the outside profile line at the first segment step, is the profile line development angle of the large-arc at the first segment step, and In the formula, is the first is the first is the first is the first is the first is the first is the first is the first is the first is the first is the first is the first 2. The stepped tooth height high wall thickness scroll compressor scroll of claim 1, wherein, For the single-sided equal wall thickness variable tooth height scroll, the scroll profile is symmetrical, and the profile is arranged on any one side; if the dynamic disc has the stepped large circle arc of the tooth root, the static disc has the stepped small circle arc of the tooth height side; if the static disc has the stepped large circle arc of the tooth root side, the dynamic disc has the stepped small circle arc of the tooth height side; For the double-sided equal wall thickness variable tooth height scroll, the scroll profile is symmetrical, and the profile is arranged on both sides; the dynamic disc has the stepped large circle arc of the tooth root side and the stepped small circle arc of the tooth height side, and the corresponding meshing static disc has the stepped small circle arc of the tooth height side and the stepped large circle arc of the tooth root side.

3. The stepped tooth height high wall thickness scroll compressor scroll of claim 1, wherein, Given the first The required parameters for each size of arc and the starting angle of the arc are obtained by using the following expression, based on the height of the stepped tooth and the angular position of the stepped arc. With termination angle and the coordinates of the center of the circle ( , ): In the formula, is the horizontal and vertical coordinates of the center of the large circular arc at the first segment step, is the horizontal and vertical coordinates of the intersection point of the large circular arc and the inner profile of the vortex disk at the first segment step, is the horizontal and vertical coordinates of the intersection point of the large circular arc and the outer profile of the vortex disk at the first segment step; is the horizontal and vertical coordinates of the center of the small circular arc at the first segment step, is the horizontal and vertical coordinates of the intersection point of the small circular arc and the inner profile of the vortex disk at the first segment step, is the horizontal and vertical coordinates of the intersection point of the small circular arc and the outer profile of the vortex disk at the first segment step; wherein is the start angle of the large circular arc at the n-th step, is the end angle of the large circular arc at the n-th step; is the start angle of the small circular arc at the n-th step, is the end angle of the small circular arc at the n-th step. is the start angle of the large circular arc at the n-th step, is the end angle of the large circular arc at the n-th step; is the start angle of the small circular arc at the n-th step, is the end angle of the small circular arc at the n-th step.

4. The stepped tooth height high wall thickness scroll compressor scroll of claim 1, wherein, Considering the thermal deformation of the vortex disk, the following is set along the plane of the vortex disk. To ensure uniform deformation, deformation along the height of the turbine disk is non-uniform, while the circular arc deformation at the stepped points is uniform, equidistant from the center. The design is based on the deformation of the turbine disk after thermal stabilization under main operating conditions, with the minimum guaranteed deformation under extreme operating conditions being the deformation after thermal stabilization. The deformation of the turbine disk along the plane of the turbine disk varies depending on the compression chamber. The direction of the deformation is The deformation of the great circle at each step is as follows: The deformations of the small arcs are respectively ; The maximum deformation at the beginning of deformation in the axial direction is , and the end of deformation is The deformation at the step is related to the change in the tooth height and changes linearly with the scroll angle from to Therefore, the equal-thickness tooth height scroll profile after deformation is: For the first scroll, the dynamic and static disc profile equations are as follows: In the formula, The lateral and longitudinal coordinates of the inner profile of the first-stage scroll considering thermal deformation, The lateral and longitudinal coordinates of the outer profile of the first-stage scroll considering thermal deformation, The axial coordinate of the profile of the first-stage scroll considering thermal deformation; when thermal deformation is not considered, the lateral and longitudinal coordinates of the inner profile of the first-stage scroll are , the lateral and longitudinal coordinates of the outer profile of the first-stage scroll are , and the axial coordinate of the profile of the first-stage scroll is ; The deformation parameters corresponding to different compression chambers, The deformation parameters corresponding to the central compression chamber, The deformation parameters corresponding to the second compression chamber, The deformation parameters corresponding to the third compression chamber, The rotation angle of the moving scroll relative to the stationary scroll; The slope of the coordinate change, , The corresponding thermal deformation gap heights when the rotation angle is 0, ; Section At the step of the stage, the dynamic disc or the static disc profile is as follows: In the formula, is the lateral profile coordinate at the first step of the first segment after considering thermal deformation, is the lateral profile coordinate at the first step of the first segment after considering thermal deformation, is the lateral profile coordinate at the first step of the first segment after considering thermal deformation, is the lateral profile coordinate at the first step of the first segment after considering thermal deformation, is the lateral profile coordinate at the first step of the first segment after considering thermal deformation, is the lateral profile coordinate at the first step of the first segment after considering thermal deformation, is the lateral profile coordinate at the first step of the first segment after considering thermal deformation, is the lateral profile coordinate at the first step of the first segment after considering thermal deformation, is the lateral profile coordinate at the first step of the first segment after considering thermal deformation, is the lateral profile coordinate at the first step of the first segment after considering thermal deformation, is the lateral profile coordinate at the first step of the first segment after considering thermal deformation, ; is the deformation parameter corresponding to different steps, is the deformation parameter corresponding to the first step of the first segment, is the deformation parameter corresponding to the first step of the first segment, and is the deformation parameter corresponding to the first step of the first segment. In the formula, is the 1st is the 1st is the 1st is the 1st is the 1st is the 1st is the 1st ; is the clearance height corresponding to the rotation angle of .

5. The stepped tooth height high wall thickness scroll compressor scroll of claim 4, wherein, For the single-sided equal wall thickness variable tooth height scroll, the scroll profile is symmetrical, and the profile is arranged on any one side; if the dynamic disc has the stepped large circle arc of the tooth root, the static disc has the stepped small circle arc of the tooth height side; if the static disc has the stepped large circle arc of the tooth root side, the dynamic disc has the stepped small circle arc of the tooth height side; For the double-sided equal wall thickness variable tooth height scroll, the scroll profile is symmetrical, and the profile is arranged on both sides; the dynamic disc has the stepped large circle arc of the tooth root side and the stepped small circle arc of the tooth height side, and the corresponding meshing static disc has the stepped small circle arc of the tooth height side and the stepped large circle arc of the tooth root side.

6. A scroll compressor characterized by, The stepped tooth height equal wall thickness scroll compressor scroll considering the thermal deformation according to any one of claims 1 to 5.

7. A computer-readable storage medium storing a computer program, wherein the computer program comprises the following steps of: receiving a request for a resource from a client; determining whether the client is authorized to access the resource; and if the client is authorized to access the resource, providing the resource to the client. The computer program is executed by a processor to realize the design of the stepped tooth height equal wall thickness scroll compressor scroll considering the thermal deformation according to any one of claims 1 to 5.

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