Variable tooth surface scroll wrap of scroll compressor as well as design method and application of variable tooth surface scroll wrap

Abstract

The invention discloses a variable-tooth-surface scroll wrap of a scroll compressor and a design method and application of the variable-tooth-surface scroll wrap. The variable-tooth-surface scroll wrap of the scroll compressor comprises a first scroll wrap and a second scroll wrap which are different in tooth surface and meshed with each other, the first scroll wrap is a scroll wrap of the circular involute scroll compressor in rotational motion, and the second scroll wrap is a scroll wrap of the circular involute scroll compressor in a static state. The base circle centers of the first scroll wrap and the second scroll wrap are mounted at equal intervals; according to the scroll wrap, expansion from curve design of a traditional XOY plane to three-dimensional scroll wrap surface design is achieved based on a curved surface oriented isometric transformation method, basic parameters # imgabs0 #, # imgabs1 #, # imgabs2 #, # imgabs3 #, # imgabs4 #, # imgabs5 #, # imgabs6 # and # imgabs7 # can be directly selected according to actual requirements, a base plane equation, an inner wall curved surface equation, an outer wall curved surface equation and the like do not need to be calculated, and the method has the advantages of being simple in structure, convenient to operate and high in practicability. A series of geometric models of the circle involute variable tooth surface vortex teeth can be quickly established, and the calculation amount for establishing the variable tooth surface vortex teeth is greatly reduced. The scroll wrap can be applied to a scroll compressor or a scroll expander and a scroll vacuum pump.

Description

Technical Field

[0001] The present invention relates to the technical field of compressors, in particular to a scroll compressor scroll tooth with a variable tooth surface and a design method and application thereof. Background Art

[0002] A scroll compressor is a mechanical device that compresses gas using the principle of scroll dynamics. Compared to traditional reciprocating compressors, it offers advantages such as simple structure, reduced vibration and noise, and higher energy efficiency. The scroll tooth profile and the resulting scroll tooth surface directly influence the compressor's performance, making scroll tooth surface design based on the profile extremely critical.

[0003] The design of existing circular involute scroll compressor scroll teeth is mainly based on establishing different circular involutes in the XOY plane, forming the plane contour of the scroll tooth by using the normal equidistant method on the circular involute, and finally vertically stretching the plane contour of the scroll tooth in the Z-axis direction to form the scroll tooth. The design of this circular involute scroll tooth focuses on the curve design in the XOY plane and only performs vertical stretching in the Z-axis direction, resulting in a lack of direct description and design of the three-dimensional scroll tooth surface, which greatly limits the diversity of scroll tooth surface design. Therefore, studying a method for directly describing and designing the circular involute scroll tooth surface and exploring more types of circular involute scroll compressors are top priorities in the field of scroll compressor design. Summary of the Invention

[0004] The purpose of the present invention is to provide a scroll compressor variable tooth surface scroll tooth and its design method and application, based on the directional isometric transformation method of the variable tooth surface curved surface of the circular involute, to achieve the expansion from the traditional XOY plane curve design to the three-dimensional scroll tooth surface design, so as to solve the problems existing in the prior art.

[0005] To achieve the above object, the technical solution adopted by the present invention is: A scroll compressor scroll with a variable tooth surface comprises a first scroll and a second scroll having different tooth surfaces but meshing with each other, wherein the first scroll is a scroll used in a circular involute scroll compressor for rotating motion, and the second scroll is a scroll used in a circular involute scroll compressor for stationary motion, wherein the base circle centers of the first scroll and the second scroll are equidistantly arranged. The first scroll wrap includes a first outer wall curved surface , the first inner wall surface , the first connecting surface and the second connecting surface , the first connecting surface and the second connecting surface The first outer wall surface , the first inner wall surface The second scroll tooth includes a second outer wall curved surface , the second inner wall surface , the third connecting surface and the fourth connecting surface , the third connecting surface and the fourth connecting surface The second inner wall surface , the connecting surface of the second outer wall surface ; First outer wall surface , the first inner wall surface , the second outer wall surface , the second inner wall surface They are all circular involutes that are transformed layer by layer continuously. The first outer wall surface Parametric equations for: (1); First inner wall surface Parametric equations for: (2); Second inner wall surface Parametric equations for: (3); Second outer wall surface Parametric equations for: (4); Where, and is the parameter variable of the surface parametric equation; is the surface angle, is the parameter variable of the layer-by-layer transformation of the circular involute; is the maximum angle of the surface; is the maximum variation of the circular involute; 、 、 、 is the base circle radius variation parameter, 、 ; is the curvature variation parameter of the circular involute; is the distance between the centers of rotation of the first scroll and the second scroll, i.e., the radius of rotation; is the growth rate of the surface height.

[0006] Preferably, the first connecting curved surface and the second connecting surface They are all surfaces formed by connecting two arcs that are transformed continuously layer by layer; First connecting surface The parametric equation is: (5); Second connecting surface Parametric equations for: (6); in, is the development angle of the connected surface.

[0007] Preferably, the third connecting curved surface and the fourth connecting surface They are all surfaces formed by connecting two arcs that are transformed continuously layer by layer; The third connecting surface Parametric equations for: (7); Fourth connecting surface Parametric equations for: (8); in, is the development angle of the connected surface.

[0008] Preferably, the base circle radius transformation parameters of the first scroll and the second scroll need to satisfy the formula: .

[0009] A method for designing a scroll compressor scroll with a variable tooth surface, wherein the scroll compressor scroll with a variable tooth surface is the scroll mentioned above, comprises the following steps: Step 1: Determine the design parameters of the variable tooth surface scroll teeth according to the basic design parameters of the scroll compressor; Step 2: First establish the first base surface of the scroll compressor based on the circular involute :Assume the traditional involute formula is: (9); in, is the base circle radius of the circular involute, is the curve angle; Add the transformation parameter of the circular involute to formula (9) , and increase The parametric equation in the axial direction is used to obtain the first base surface of the circular involute scroll compressor Parametric equations for: (10); Step 3: Establish the second base surface of the scroll compressor based on the circular involute :The first base surface of the scroll compressor based on the circular involute Rotate 180° along the origin to obtain the second base surface of the scroll compressor based on the circular involute , the second base plane Parametric equations for: (11); Step 4: Create the first outer wall surface by using the directional isometric transformation method With the second inner wall surface , according to the first base Find its normal vector : (12); Where i represents the unit vector of the x-axis, j represents the unit vector of the y-axis, and k represents the unit vector of the z-axis; Since the first scroll tooth of the scroll compressor is only The plane rotates, so for the first base surface No need to do The isometric transformation in the axial direction will be based on the first base surface The normal vector is found About The value of the axis direction becomes 0, and the isometric vector of the directional isometric transformation can be obtained. : (13); The isometric vector through the directional isometric transformation can pass through the first base plane Directed isometric transformation The distance to get the first outer wall surface With the second inner wall surface , the first outer wall surface The parametric equation formula is: (14); Second inner wall surface The parametric equation formula is: (15); Step 5: Create the first inner wall surface by directional isometric transformation method With the second outer wall surface :According to the method of directional isometric transformation in step 3, based on the second base plane , you can get the first inner wall surface With the second outer wall surface , the first inner wall surface The parametric equation formula is: (16); Second outer wall surface The parametric equation formula is: (17); Step 6: Create the connection surface of the first scroll tooth: Based on the first outer wall surface With the first inner wall surface Two starting points and , make double arc correction of the vortex tooth head, that is, and The midpoint of the and semicircle; at the same time, add the parameter variables of the circular involute layer by layer transformation , the first connecting surface of the first scroll tooth can be obtained Connecting to the second surface , the first connecting surface The parametric equation formula is: (18); Second connecting surface The parametric equation formula is: (19); Step 7: Establish the connection surface of the second scroll tooth: Based on the second outer wall surface, the double arc modified scroll tooth head method described in step 6 is used. With the second inner wall surface , we can get the third connecting surface of the second scroll tooth Connecting to the fourth surface , the third connecting surface The parametric equation formula is: (20); Fourth connecting surface The parametric equation formula is: (twenty one); Step 8: Connect the first surface Connecting to the second surface Connected to the first outer wall surface and the first inner wall surface Connected together, it is the first scroll tooth; the third connecting surface Connecting to the fourth surface connected to the second inner wall surface and the second outer wall surface The first scroll gear and the second scroll gear are connected to each other, which is the second scroll gear; the first scroll gear and the second scroll gear are installed at a distance from each other in the rotation center. When the first scroll gear rotates, the second scroll gear remains stationary, thereby compressing the working medium.

[0010] A scroll compressor or a scroll expander using the scroll compressor variable tooth surface scroll tooth.

[0011] A scroll vacuum pump using the scroll compressor scroll with variable tooth surface.

[0012] Compared with the prior art, the present invention has the following beneficial effects: The present invention provides a scroll compressor scroll based on a circular involute. The scroll scroll uses a surface-based directional isometric transformation method, extending the traditional XOY plane curve design to three-dimensional scroll tooth surface design. This method not only provides a mathematical model for directly describing scroll compressor scrolls, but also creatively offers diverse designs for the scroll in the Z-axis direction, resulting in a novel variable tooth surface scroll that cannot be described or designed using traditional scroll design methods.

[0013] The design of the scroll teeth can directly select basic parameters according to different requirements in actual production applications. 、 、 、 、 、 and , only needs to meet , without calculating the base surface equations, inner and outer wall surface equations, etc., a series of geometric models of circular involute variable tooth surface scroll teeth can be quickly established, which can greatly reduce the amount of calculation for establishing variable tooth surface scroll teeth.

[0014] This design method can also be extended to the design of scroll teeth for scroll compressors based on Archimedean spirals and variable-diameter base circle involutes. It not only enriches the design theory of scroll teeth, but also provides new design ideas and methods for the performance optimization of scroll compressors. BRIEF DESCRIPTION OF THE DRAWINGS

[0015] Figure 1 Base With base surface Schematic diagram of; Figure 2 The first outer wall surface , the second inner wall surface , the first inner wall surface and the second outer wall surface Schematic diagram; Figure 3 The first connecting surface , the second connecting surface , the third connecting surface Connecting to the fourth surface Schematic diagram; Figure 4 This is a schematic diagram of the installation distance between the rotation centers of the first and second scroll gears. DETAILED DESCRIPTION

[0016] The present invention will be further described in detail below with reference to the accompanying drawings.

[0017] like Figures 1 to 4 The invention discloses a small one-horsepower vehicle-mounted scroll compressor with a variable tooth surface scroll gear based on a circular involute. The scroll compressor has a variable tooth surface scroll gear including a first scroll gear and a second scroll gear with different tooth surfaces but meshing with each other. The first scroll gear is the scroll gear of the circular involute scroll compressor that performs rotational motion, and the second scroll gear is the scroll gear of the circular involute scroll compressor that is in a stationary state. The base circle centers of the first scroll gear and the second scroll gear are installed equidistantly. The first scroll wrap includes a first outer wall curved surface , the first inner wall surface , the first connecting surface and the second connecting surface , the first connecting surface and the second connecting surface The first outer wall surface , the first inner wall surface The second scroll tooth includes a second outer wall curved surface , the second inner wall surface , the third connecting surface and the fourth connecting surface , the third connecting surface and the fourth connecting surface The second inner wall surface , the connecting surface of the second outer wall surface ; First outer wall surface , the first inner wall surface , the second outer wall surface , the second inner wall surface They are all circular involutes that are transformed layer by layer continuously. The first outer wall surface Parametric equations for: (twenty two); First inner wall surface Parametric equations for: (twenty three); Second inner wall surface Parametric equations for: (twenty four); Second outer wall surface Parametric equations for: (25); Where, and is the parameter variable of the surface parametric equation; is the surface angle, is the parameter variable of the layer-by-layer transformation of the circular involute; is the maximum angle of the surface; is the maximum variation of the circular involute; 、 、 、 is the base circle radius variation parameter, 、 ; is the curvature variation parameter of the circular involute; is the distance between the centers of rotation of the first scroll and the second scroll, i.e., the radius of rotation; is the growth rate of the surface height.

[0018] First connecting surface and the second connecting surface They are all surfaces formed by connecting two arcs that are transformed continuously layer by layer; First connecting surface The parametric equation is: (26); Second connecting surface Parametric equations for: (27); in, is the development angle of the connected surface.

[0019] The third connecting surface and the fourth connecting surface They are all surfaces formed by connecting two arcs that are transformed continuously layer by layer; The third connecting surface Parametric equations for: (28); Fourth connecting surface Parametric equations for: (29); in, is the development angle of the connected surface.

[0020] The base circle radius transformation parameters of the first and second scroll teeth must satisfy the formula: .

[0021] The design method of the variable tooth surface scroll gear of the above-mentioned small one-horsepower vehicle-mounted scroll compressor based on a circular involute includes the following steps: Step 1: Determine the design parameters of the variable tooth surface scroll teeth based on the basic design parameters of the scroll compressor; the values ​​of each parameter are as follows: 、 、 、 、 、 、 , according to the formula 、 Find 、 ,

[0022] and , Step 2: First establish the first base surface of the scroll compressor based on the circular involute :Assume the traditional involute formula is: (30); Add the transformation parameter of the circular involute to formula (30) , and increase The parametric equation in the axial direction is used to obtain the first base surface of the circular involute scroll compressor Parametric equations for: (31); in, is the parameter of the parametric equation, i.e. the curve angle; Step 3: Establish the second base surface of the scroll compressor based on the circular involute :The first base surface of the scroll compressor based on the circular involute Rotate 180° along the origin to obtain the second base surface of the scroll compressor based on the circular involute , the second base plane Parametric equations for: (32); Step 4: Create the first outer wall surface by using the directional isometric transformation method With the second inner wall surface , according to the first base Find its normal vector : (33); Where i represents the unit vector of the x-axis, j represents the unit vector of the y-axis, and k represents the unit vector of the z-axis; Since the first scroll tooth of the scroll compressor only rotates in the XOY plane, the first base surface No need to do The isometric transformation in the axial direction will be based on the first base surface The normal vector is found About The value of the axis direction becomes 0, and the isometric vector of the directional isometric transformation can be obtained. : (34); The isometric vector through the directional isometric transformation can pass through the first base plane Directed isometric transformation The distance to get the first outer wall surface With the second inner wall surface , as shown in the figure, the first outer wall surface The parametric equation formula is: (35); Second inner wall surface The parametric equation formula is: (36); Step 5: Create the first inner wall surface by directional isometric transformation method With the second outer wall surface :According to the method of directional isometric transformation in step 4, based on the second base plane , you can get the first inner wall surface With the second outer wall surface , the first inner wall surface The parametric equation formula is: (37); Second outer wall surface The parametric equation formula is: (38); Step 6: Create the connection surface of the first scroll tooth: Based on the first outer wall surface With the first inner wall surface Two starting points and , make double arc correction of the vortex tooth head, that is, and The midpoint of the and semicircle; at the same time, add the parameter variables of the circular involute layer by layer transformation , the first connecting surface of the first scroll tooth can be obtained Connecting to the second surface , the first connecting surface The parametric equation formula is: (39); Second connecting surface The parametric equation formula is: (40); Step 7: Establish the connection surface of the second scroll tooth: Based on the second outer wall surface, the double arc modified scroll tooth head method described in step 5 is used. With the second inner wall surface , we can get the third connecting surface of the second scroll tooth Connecting to the fourth surface , the third connecting surface The parametric equation formula is: (41); Fourth connecting surface The parametric equation formula is: (42); Step 8: Connect the first surface Connecting to the second surface Connected to the first outer wall surface and the first inner wall surface Connected together, it is the first scroll tooth; the third connecting surface Connecting to the fourth surface connected to the second inner wall surface and the second outer wall surface connected, it is the second scroll tooth; Figure 4As shown, the first scroll gear and the second scroll gear are installed at a distance from each other in the rotation center. The first scroll gear rotates while the second scroll gear remains stationary, thereby compressing the working medium.

[0023] By adopting the design method of the present invention, basic parameters can be directly selected according to different requirements in actual production applications. 、 、 、 、 、 and , only needs to meet , without calculating the base surface equations, inner and outer wall surface equations, etc., a series of geometric models of circular involute variable tooth surface scroll teeth can be quickly established, which can greatly reduce the amount of calculation for establishing variable tooth surface scroll teeth.

[0024] The above are only preferred embodiments of the present invention. It should be noted that those skilled in the art can make other equivalent variations and improvements based on the technical enlightenment provided by the present invention, which should also be considered as the scope of protection of the present invention.

Claims

1. A scroll compressor scroll tooth with variable tooth surface, characterized in that: The variable tooth surface scroll gear of the scroll compressor comprises a first scroll gear and a second scroll gear with different tooth surfaces but meshing with each other, the first scroll gear is a scroll gear of the circular involute scroll compressor performing a rotary motion, the second scroll gear is a scroll gear of the circular involute scroll compressor in a stationary state, and the base circle centers of the first scroll gear and the second scroll gear are installed equidistantly; The first scroll tooth includes a first outer wall curved surface , the first inner wall surface , the first connecting surface and the second connecting surface , the first connecting surface and the second connecting surface The first outer wall surface , the first inner wall surface The second scroll tooth includes a second outer wall curved surface , the second inner wall surface , the third connecting surface and the fourth connecting surface , the third connecting surface and the fourth connecting surface The second inner wall surface , the connecting surface of the second outer wall surface ; First outer wall surface , the first inner wall surface , the second outer wall surface , the second inner wall surface They are all circular involutes that are transformed continuously layer by layer. First outer wall surface The parametric equation for: （1）； First inner wall surface The parametric equation for: （2）； Second inner wall surface The parametric equation for: （3）； Second outer wall surface The parametric equation for: （4）； In the formula, and is the parameter variable of the surface parametric equation; is the surface angle, is the parameter variable of the layer-by-layer transformation of the circular involute; is the maximum angle of the surface; is the maximum variation of the circular involute; , , , is the base circle radius variation parameter, , ; is the curvature variation parameter of the circular involute; is the distance between the rotation centers of the first volute and the second volute, i.e., the rotation radius; is the growth rate of the surface height.

2. The scroll compressor variable tooth surface scroll tooth according to claim 1, characterized in that: The first connecting surface and the second connecting surface They are all surfaces formed by connecting two circular arcs that are transformed layer by layer continuously; First connecting surface The parametric equation is: （5）； Second connecting surface The parametric equation for: （6）； in, is the development angle of the connected surface.

3. The scroll compressor variable tooth surface scroll tooth according to claim 1, characterized in that: The third connecting surface and the fourth connecting surface They are all surfaces formed by connecting two circular arcs that are transformed layer by layer continuously; The third connecting surface The parametric equation for: （7）； Fourth connecting surface The parametric equation for: （8）； in, is the development angle of the connected surface.

4. The scroll compressor variable tooth surface scroll tooth according to claim 1, characterized in that: The base circle radius transformation parameters of the first scroll and the second scroll must satisfy the formula: .

5. A method for designing a scroll compressor scroll tooth with a variable tooth surface, wherein the scroll compressor scroll tooth with a variable tooth surface is the scroll tooth according to any one of claims 1 to 4, characterized in that: The following steps are involved: Step 1: Determine the design parameters of the variable tooth surface scroll teeth according to the basic design parameters of the scroll compressor; Step 2: First establish the first base surface of the scroll compressor based on the circular involute :Assume the traditional involute formula is: （9）； in, is the base circle radius of the circular involute, is the curve angle; Add the transformation parameter of the circular involute to formula (9) , and increase The parametric equation in the axial direction is used to obtain the first base surface of the circular involute scroll compressor. The parametric equation for: （10）； Step 3: Establish the second base surface of the scroll compressor based on the circular involute :The first base surface of the scroll compressor based on the circular involute Rotate 180° along the origin to obtain the second base surface of the scroll compressor based on the circular involute , the second base The parametric equation for: （11）； Step 4: Establish the first outer wall surface by directional isometric transformation method The second inner wall surface , according to the first base Find its normal vector : （12）； In the formula, i represents the unit vector of the x-axis, j represents the unit vector of the y-axis, and k represents the unit vector of the z-axis; Since the first scroll tooth of the scroll compressor is only The plane rotates, so for the first base surface No need to do The isometric transformation in the axial direction will be based on the first base surface The normal vector is About The value in the axis direction becomes 0, and the isometric vector of the directional isometric transformation can be obtained. : （13）； The isometric vectors through the directional isometric transformation can pass through the first base surface Directed isometric transformation The distance to obtain the first outer wall surface The second inner wall surface , the first outer wall surface The parametric equation formula is: （14）； Second inner wall surface The parametric equation formula is: （15）； Step 5: Create the first inner wall surface by directional isometric transformation method The second outer wall surface :According to the method of directional isometric transformation in step 3, based on the second base surface , we can get the first inner wall surface The second outer wall surface , the first inner wall surface The parametric equation formula is: （16）； Second outer wall surface The parametric equation formula is: （17）； Step 6: Establish the connection surface of the first scroll tooth: Based on the first outer wall surface The first inner wall surface Two starting points and , make double arc correction of the scroll tooth head, that is, and The midpoint of and semicircle; at the same time, add the parameter variables of the circular involute layer by layer transformation , the first connecting surface of the first scroll tooth can be obtained Connecting surface to the second , the first connecting surface The parametric equation formula is: （18）； Second connecting surface The parametric equation formula is: （19）； Step 7: Establish the connection curved surface of the second scroll tooth: Based on the method of double arc correction scroll tooth head described in step 6, the second outer wall curved surface The second inner wall surface , we can get the third connecting surface of the second scroll tooth Connecting surface , the third connecting surface The parametric equation formula is: （20）； Fourth connecting surface The parametric equation formula is: （21）； Step 8: Connect the first surface Connecting surface to the second connected to the first outer wall surface and the first inner wall surface connected to form the first scroll tooth; the third connecting surface Connecting surface connected to the second inner wall surface and the second outer wall surface The first scroll gear and the second scroll gear are connected to each other to form the second scroll gear; the first scroll gear and the second scroll gear are installed at a distance from each other in the rotation center, the first scroll gear performs rotational motion, and the second scroll gear remains stationary, so the working medium can be compressed.

6. A scroll compressor or a scroll expander using the scroll compressor variable tooth surface scroll tooth according to any one of claims 1 to 4.

7. A scroll vacuum pump using the scroll compressor variable tooth surface scroll tooth according to any one of claims 1 to 4.

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