Scroll compressor variable tooth surface scroll tooth and its design method and application

Abstract

The invention discloses a scroll compressor variable tooth surface scroll tooth and its design method and application. The scroll compressor variable tooth surface scroll tooth comprises a first scroll tooth and a second scroll tooth with different tooth surfaces but meshing with each other, the first scroll tooth is a scroll tooth of a circular involute scroll compressor that performs a rotary motion, and the second scroll tooth is a scroll tooth of a circular involute scroll compressor that is in a stationary state, and the base circle centers of the first scroll tooth and the second scroll tooth are installed equidistantly; the scroll tooth is based on a directional equidistant transformation method of a curved surface, which realizes the expansion from the curve design of the traditional XOY plane to the three-dimensional scroll tooth surface design, and the basic parameters,,,,,, and can be directly selected according to actual needs, and a series of geometric models of circular involute variable tooth surface scroll teeth can be quickly established without calculating the base surface equations, the inner and outer wall curved surface equations, etc., which greatly reduces the amount of calculation for establishing the variable tooth surface scroll teeth. The scroll tooth can be applied to scroll compressors or scroll expanders, scroll vacuum pumps.

Description

Technical Field

[0001] The invention relates to the technical field of compressors, in particular to a scroll compressor scroll tooth with 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 scroll power principle. Compared with traditional reciprocating compressors, it has the advantages of simple structure, low vibration and noise, and high energy efficiency. The profile of the scroll tooth and the scroll tooth surface it forms directly affect the working performance of the scroll compressor, so the design of the scroll tooth surface based on the profile is extremely critical.

[0003] The design of the scroll teeth of the existing circular involute scroll compressor is mainly based on establishing different circular involutes in the XOY plane, forming the plane contour of the scroll tooth by using the normal equidistance 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 of the XOY plane, and only performs vertical stretching in the Z-axis direction, which leads to the lack of direct description and design of the three-dimensional scroll tooth surface, greatly limiting the diversity of the 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 the 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 equidistant 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:

[0006] A scroll compressor variable tooth surface scroll tooth, the scroll compressor variable tooth surface scroll tooth comprises a first scroll tooth and a second scroll tooth with different tooth surfaces but meshing with each other, the first scroll tooth is a scroll tooth of a circular involute scroll compressor performing a rotary motion, the second scroll tooth is a scroll tooth of a circular involute scroll compressor in a stationary state, and the base circle centers of the first scroll tooth and the second scroll tooth are equidistantly installed;

[0007] 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 ;

[0008] First outer wall surface , the first inner wall surface , the second outer wall surface , the second inner wall surface All of them are circular involutes that are transformed layer by layer continuously. The first outer wall surface The parametric equation for:

[0009] (1);

[0010] First inner wall surface The parametric equation for:

[0011] (2);

[0012] Second inner wall surface The parametric equation for:

[0013] (3);

[0014] Second outer wall surface The parametric equation for:

[0015] (4);

[0016] In the formula,

[0017] 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;

[0018] is the maximum angle of the surface;

[0019] is the maximum variation of the circular involute;

[0020] , , , is the base circle radius variation parameter, , ;

[0021] is the curvature variation parameter of the circular involute;

[0022] is the distance between the rotation centers of the first volute and the second volute, i.e., the rotation radius;

[0023] is the growth rate of the surface height.

[0024] Preferably, the first connecting curved surface and the second connecting surface They are all surfaces formed by connecting two circular arcs that are transformed layer by layer continuously;

[0025] First connecting surface The parametric equation is:

[0026] (5);

[0027] Second connecting surface The parametric equation for:

[0028] (6);

[0029] in, is the development angle of the connected surface.

[0030] Preferably, the third connecting curved surface and the fourth connecting surface They are all surfaces formed by connecting two circular arcs that are transformed layer by layer continuously;

[0031] The third connecting surface The parametric equation for:

[0032] (7);

[0033] Fourth connecting surface The parametric equation for:

[0034] (8);

[0035] in, is the development angle of the connected surface.

[0036] Preferably, the base circle radius transformation parameters of the first scroll tooth and the second scroll tooth need to satisfy the formula: .

[0037] A method for designing a scroll compressor variable tooth surface scroll tooth, wherein the scroll compressor variable tooth surface scroll tooth is the above-mentioned scroll tooth, comprises the following steps:

[0038] Step 1: Determine the design parameters of the variable tooth surface scroll teeth according to the basic design parameters of the scroll compressor;

[0039] Step 2: First establish the first base surface of the scroll compressor based on the circular involute :Assume the traditional involute formula is:

[0040] (9);

[0041] in, is the base circle radius of the circular involute, is the curve angle;

[0042] 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:

[0043] (10);

[0044] 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:

[0045] (11);

[0046] 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 :

[0047] (12);

[0048] 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;

[0049] 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. :

[0050] (13);

[0051] 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:

[0052] (14);

[0053] Second inner wall surface The parametric equation formula is:

[0054] (15);

[0055] 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:

[0056] (16);

[0057] Second outer wall surface The parametric equation formula is:

[0058] (17);

[0059] 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 layer-by-layer transformation of the circular involute , 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:

[0060] (18);

[0061] Second connecting surface The parametric equation formula is:

[0062] (19);

[0063] Step 7: Establish the connection surface of the second scroll tooth: According to the method of double arc correction scroll tooth head described in step 6, based on the second outer wall 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:

[0064] (20);

[0065] Fourth connecting surface The parametric equation formula is:

[0066] (twenty one);

[0067] 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.

[0068] A scroll compressor or a scroll expander using the scroll compressor variable tooth surface scroll tooth.

[0069] A scroll vacuum pump using the scroll compressor variable tooth surface scroll teeth.

[0070] Compared with the prior art, the present invention has the following beneficial effects:

[0071] The scroll teeth of the scroll compressor based on the circular involute provided by the present invention and the directional isometric transformation method of the scroll teeth based on the curved surface realize the expansion from the curve design of the traditional XOY plane to the three-dimensional scroll tooth surface design. This method not only provides a mathematical model for the direct description of the scroll teeth of the scroll compressor, but also creatively provides a variety of designs for the scroll teeth in the Z-axis direction, and obtains a new type of variable tooth surface scroll teeth that cannot be described and designed by the traditional scroll tooth design method.

[0072] The design of the scroll gear can directly select basic parameters according to different requirements in actual production applications. , , , , , and , just need to satisfy , 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.

[0073] This design method can also be extended to the design of scroll teeth of 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 a new design idea and method for the performance optimization of scroll compressors. BRIEF DESCRIPTION OF THE DRAWINGS

[0074] Figure 1 For the base With base Schematic diagram of

[0075] 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;

[0076] Figure 3 The first connecting surface , the second connecting surface , the third connecting surface Connecting surface Schematic diagram;

[0077] Figure 4This is a schematic diagram of the installation distance between the rotation centers of the first volute and the second volute. DETAILED DESCRIPTION

[0078] The present invention will be further described in detail below in conjunction with the accompanying drawings.

[0079] like Figures 1 to 4 A small one-horsepower vehicle-mounted scroll compressor variable tooth surface scroll gear based on a circular involute is shown, the scroll compressor variable tooth surface scroll gear 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;

[0080] 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 ;

[0081] First outer wall surface , the first inner wall surface , the second outer wall surface , the second inner wall surface All of them are circular involutes that are transformed layer by layer continuously. The first outer wall surface The parametric equation for:

[0082] (twenty two);

[0083] First inner wall surface The parametric equation for:

[0084] (twenty three);

[0085] Second inner wall surface The parametric equation for:

[0086] (twenty four);

[0087] Second outer wall surface The parametric equation for:

[0088] (25);

[0089] In the formula,

[0090] 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;

[0091] is the maximum angle of the surface;

[0092] is the maximum variation of the circular involute;

[0093] , , , is the base circle radius variation parameter, , ;

[0094] is the curvature variation parameter of the circular involute;

[0095] is the distance between the rotation centers of the first volute and the second volute, i.e., the rotation radius;

[0096] is the growth rate of the surface height.

[0097] 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;

[0098] First connecting surface The parametric equation is:

[0099] (26);

[0100] Second connecting surface The parametric equation for:

[0101] (27);

[0102] in, is the development angle of the connected surface.

[0103] 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;

[0104] The third connecting surface The parametric equation for:

[0105] (28);

[0106] Fourth connecting surface The parametric equation for:

[0107] (29);

[0108] in, is the development angle of the connected surface.

[0109] The base circle radius transformation parameters of the first and second scroll teeth must satisfy the formula: .

[0110] The design method of the above-mentioned small one-horsepower vehicle-mounted scroll compressor variable tooth surface scroll tooth based on circular involute includes the following steps:

[0111] Step 1: Determine the design parameters of the variable tooth surface scroll teeth according to the basic design parameters of the scroll compressor; the values ​​of each parameter are as follows:

[0112] , , , , , , , according to the formula , Find , ,

[0113] and ,

[0114] Step 2: First establish the first base surface of the scroll compressor based on the circular involute :Assume the traditional involute formula is:

[0115] (30);

[0116] 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. The parametric equation for:

[0117] (31);

[0118] in, is the parameter of the parametric equation, i.e., the curve angle;

[0119] 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:

[0120] (32);

[0121] 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 :

[0122] (33);

[0123] 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;

[0124] 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 About The value in the axis direction becomes 0, and the isometric vector of the directional isometric transformation can be obtained. :

[0125] (34);

[0126] 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 , as shown in the figure, the first outer wall surface The parametric equation formula is:

[0127] (35);

[0128] Second inner wall surface The parametric equation formula is:

[0129] (36);

[0130] 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 4, 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:

[0131] (37);

[0132] Second outer wall surface The parametric equation formula is:

[0133] (38);

[0134] 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 layer-by-layer transformation of the circular involute , 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:

[0135] (39);

[0136] Second connecting surface The parametric equation formula is:

[0137] (40);

[0138] Step 7: Establish the connection surface of the second scroll tooth: According to the method of double arc correction scroll tooth head described in step 5, based on the second outer wall 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:

[0139] (41);

[0140] Fourth connecting surface The parametric equation formula is:

[0141] (42);

[0142] 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 connected, it is the second scroll tooth; Figure 4 As 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 performs a rotation motion while the second scroll gear remains stationary, thereby compressing the working medium.

[0143] By adopting the design method described in the present invention, basic parameters can be directly selected according to different requirements in actual production applications. , , , , , and , just need to satisfy , 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.

[0144] The above are only preferred embodiments of the present invention. It should be noted that for those skilled in the art, under the technical enlightenment provided by the present invention, other equivalent variations and improvements can also be made, which should also be regarded as the protection scope 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 to the fourth 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 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 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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