Design method of centrifugal turntable with equal liquid film thickness, related equipment and centrifugal turntable

Abstract

The invention provides an equal-liquid-film-thickness centrifugal rotating disc design method, related equipment and a centrifugal rotating disc, and relates to the technical field of metal additive manufacturing. The design method of the centrifugal turntable with the equal liquid film thickness comprises the following steps: obtaining a specific contour line according to a specified implicit function; the specific contour line comprises a linear section and a curved section, and one end of the linear section is smoothly connected with one end of the curved section; obtaining the upper surface of the centrifugal turntable according to the specific contour line. According to the design method of the equal-liquid-film-thickness centrifugal rotating disc, the distribution uniformity of the metal melt on the upper surface of the rotating disc can be effectively improved, speed slippage is reduced, and the good atomization effect can be achieved when the metal melt liquid flow does not completely face the center of the rotating disc.

Description

Technical Field

[0001] The present invention relates to the technical field of metal additive manufacturing, and in particular to a design method for a centrifugal turntable with constant liquid film thickness, related equipment, and a centrifugal turntable. Background Art

[0002] The rotary disc centrifugal atomization process and the rotary disc centrifugal pre-filming gas atomization process have great technical advantages and application prospects in the field of metal powder preparation technology for additive manufacturing of aluminum alloys, copper alloys, silver, etc. The centrifugal rotary disc can be used as a direct atomization carrier of metal powders, and can also be used as a pre-carrier for the rotary disc centrifugal pre-filming gas atomization process. However, in the rotary disk centrifugal atomization process, the eccentricity of the melt flow will cause the thickness of the metal melt film near the edge of the turntable to be unevenly distributed along the circumferential direction, which will make the particle size distribution of the metal melt prepared by the rotary disk centrifugal atomization wider, and thus easily produce coarse powder. It will also aggravate the speed slip of the metal melt film on the upper surface of the turntable, reduce the speed uniformity of the metal melt on the upper surface of the turntable along the thickness direction of the liquid film, and weaken the turntable centrifugal atomization effect.

[0003] In the rotary disc centrifugal pre-filming atomization process, the eccentricity of the melt flow will also cause the thickness of the metal melt film near the edge of the turntable to be unevenly distributed along the circumference, resulting in a wide particle size distribution of the metal powder prepared by the rotary disc centrifugal pre-filming atomization process, reducing the yield of powder in the desired particle size range.

[0004] In addition, when the wettability between the metal melt and the upper surface of the turntable is poor, the metal melt on the upper surface of the turntable will also slip at a large speed along the direction of the liquid film thickness.

[0005] Therefore, in the case where the metal melt flow is not completely facing the center of the turntable, how to improve the distribution uniformity of the metal melt on the upper surface of the turntable and reduce the speed slip has become a key issue that needs to be solved urgently to improve the centrifugal atomization effect of the turntable and improve the centrifugal pre-film atomization effect of the turntable. Summary of the Invention

[0006] The purpose of the present invention is to provide a design method for a centrifugal turntable with constant liquid film thickness, related equipment and a centrifugal turntable, which can effectively improve the distribution uniformity of the metal melt on the turntable surface and reduce speed slip, so as to achieve a good atomization effect when the metal melt flow is not completely facing the center of the turntable.

[0007] In a first aspect, the present invention provides a method for designing a centrifugal turntable with constant liquid film thickness, comprising the following steps: S1. Obtaining a specific contour line according to a specified implicit function; the specific contour line includes a straight line segment and a curved line segment, one end of the straight line segment and one end of the curved line segment are smoothly connected; S2 obtains the upper surface of the centrifugal turntable according to the specific contour line; The specific steps in step S1 include: S11. Establish a third plane rectangular coordinate system, the third plane rectangular coordinate system The axis is parallel to the horizontal plane and The axis is perpendicular to the horizontal plane; S12. Starting from the origin of the third plane rectangular coordinate system, along the third plane rectangular coordinate system according to the preset first length The axis is extended to obtain a line segment as the straight line segment; S13. According to the first length, obtaining a plurality of discrete points on the third plane rectangular coordinate system by the specified implicit function; S14. Fit all the discrete points and obtain the curve segment according to the preset second length; the curve segment is in the third plane rectangular coordinate system. The projected length on the axis is equal to the second length; the second length is less than or equal to 3 times the first length; The specific steps in step S13 include: S131. Take the following expression as the specified implicit function: ; in, is a discrete point in the first plane rectangular coordinate system of Axis coordinates, the first plane rectangular coordinate system is a coordinate system obtained by dimensionlessly processing the third plane rectangular coordinate system according to the first length, is a function in the first plane rectangular coordinate system At discrete points The first derivative at , is the discrete point in the first plane rectangular coordinate system of Axis coordinates, Expressed as about function, and satisfies the conditions: when hour, and .

[0008] The method for designing a centrifugal turntable with constant liquid film thickness provided by the present invention is designed based on the contour shape of the upper surface of the centrifugal turntable, so that when the metal melt liquid flow is not completely facing the center of the turntable, the surface structure of the centrifugal turntable can control the metal melt liquid film to maintain a uniform thickness and reduce speed slippage, which is beneficial to improving the atomization effect.

[0009] Furthermore, the specific steps in step S2 include: S21. Using the third plane rectangular coordinate system The specific contour line is rotated 360 degrees by an axis as a rotation axis, and a surface formed by sweeping the specific contour line is used as the upper surface of the centrifugal turntable.

[0010] In a second aspect, the present invention provides a centrifugal turntable design device with constant liquid film thickness, comprising: A first acquisition module is configured to obtain a specific contour line according to a specified implicit function; the specific contour line includes a straight line segment and a curved line segment, and one end of the straight line segment is smoothly connected to one end of the curved line segment; A second acquisition module is used to obtain the upper surface of the centrifugal turntable according to the specific contour line; The first acquisition module is executed when being used to obtain a specific contour line according to a specified implicit function: S11. Establish a third plane rectangular coordinate system, the third plane rectangular coordinate system The axis is parallel to the horizontal plane and The axis is perpendicular to the horizontal plane; S12. Starting from the origin of the third plane rectangular coordinate system, along the third plane rectangular coordinate system according to the preset first length The axis is extended to obtain a line segment as the straight line segment; S13. According to the first length, obtaining a plurality of discrete points on the third plane rectangular coordinate system by the specified implicit function; S14. Fit all the discrete points and obtain the curve segment according to the preset second length; the curve segment is in the third plane rectangular coordinate system. The projected length on the axis is equal to the second length; the second length is less than or equal to 3 times the first length; When the first acquisition module is used to obtain a plurality of discrete points on the third plane rectangular coordinate system by using the specified implicit function according to the first length, the following steps are executed: S131. Take the following expression as the specified implicit function: ; in, is a discrete point in the first plane rectangular coordinate system of Axis coordinates, the first plane rectangular coordinate system is a coordinate system obtained by dimensionlessly processing the third plane rectangular coordinate system according to the first length, is a function in the first plane rectangular coordinate system At discrete points The first derivative at , is the discrete point in the first plane rectangular coordinate system of Axis coordinates, Expressed as about function, and satisfies the conditions: when hour, and .

[0011] The device for designing a centrifugal turntable with constant liquid film thickness provided by the present invention obtains the required straight line segments and curve segments based on a specified implicit function, thereby constructing the upper surface of the centrifugal turntable. When the melt flow is not completely aligned with the center of the centrifugal turntable, the designed centrifugal turntable can also make the melt more evenly distributed on the upper surface of the centrifugal turntable.

[0012] Furthermore, when the second acquisition module is used to obtain the upper surface of the centrifugal turntable according to the specific contour line, it executes: S21. Using the third plane rectangular coordinate system The specific contour line is rotated 360 degrees by an axis as a rotation axis, and a surface formed by sweeping the specific contour line is used as the upper surface of the centrifugal turntable.

[0013] In a third aspect, the present invention provides an electronic device comprising a processor and a memory, wherein the memory stores computer-readable instructions. When the computer-readable instructions are executed by the processor, the steps in the method for designing a centrifugal turntable with equal liquid film thickness provided in the first aspect are executed.

[0014] In a fourth aspect, the present invention provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, runs the steps of the method for designing a centrifugal turntable with equal liquid film thickness as provided in the first aspect above.

[0015] In a fifth aspect, the present invention provides a centrifugal turntable designed based on the above-mentioned method for designing a centrifugal turntable with constant liquid film thickness, wherein the upper surface contour line in the cross-sectional graph of the centrifugal turntable includes the specific contour line.

[0016] From the above, it can be seen that the design method of a centrifugal turntable with constant liquid film thickness provided by the present invention is designed for the contour shape of the upper surface of the centrifugal turntable, and the thickness of the metal melt liquid film on the upper surface of the turntable is determined based on the balance of viscosity and centrifugal force, and then the differential equation that needs to be satisfied by the geometric structure of the contour line of the upper surface of the centrifugal turntable with constant liquid film thickness is established, so that the metal melt liquid film extending radially along the turntable maintains the same thickness. At the same time, the component of the centrifugal force perpendicular to the tangential direction of the contour line of the upper surface of the turntable will also enhance the wettability between the metal melt and the centrifugal turntable, thereby improving the distribution uniformity of the metal melt on the upper surface of the turntable and reducing speed slip, and finally achieving the improvement of the centrifugal atomization effect of the turntable and the improvement of the centrifugal pre-film atomization effect of the turntable.

[0017] Other features and advantages of the present invention will be described in the following description, and in part will become apparent from the description, or will be understood by practicing the embodiments of the present invention. The purposes and other advantages of the present invention can be realized and obtained by the structures particularly pointed out in the written description and the accompanying drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0018] Figure 1 A flow chart of a method for designing a centrifugal turntable with constant liquid film thickness provided by an embodiment of the present invention.

[0019] Figure 2 In the embodiment of the present invention, the coordinate system The specific contour line below.

[0020] Figure 3 In the embodiment of the present invention, the coordinate system The specific contour line below.

[0021] Figure 4 This is a curve segment when both the first length and the second length are 1 in the embodiment of the present invention.

[0022] Figure 5 A schematic structural diagram of a centrifugal turntable provided in an embodiment of the present invention.

[0023] Figure 6 A schematic structural diagram of a centrifugal turntable design device with constant liquid film thickness provided in an embodiment of the present invention.

[0024] Figure 7 A schematic structural diagram of an electronic device provided by an embodiment of the present invention.

[0025] Description of labels: 100. First acquisition module; 200. Second acquisition module; 300. Specific contour line; 13. Electronic device; 1301. Processor; 1302. Memory; 1303. Communication bus. DETAILED DESCRIPTION

[0026] The embodiments of the present invention are described in detail below, examples of which are shown in the accompanying drawings, wherein the same or similar reference numerals throughout represent the same or similar elements or elements having the same or similar functions. The embodiments described below with reference to the accompanying drawings are exemplary and are only used to explain the present invention, and are not to be construed as limiting the present invention.

[0027] In the description of the present invention, it should be understood that the terms "center", "longitudinal", "lateral", "length", "width", "thickness", "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inside", "outside", "clockwise", "counterclockwise" and the like to indicate orientations or positional relationships based on the orientations or positional relationships shown in the accompanying drawings, and are only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore should not be understood as limiting the present invention.

[0028] In the description of the present invention, it should be noted that, unless otherwise expressly specified or limited, the terms "mounted," "connected," and "connected" should be understood in a broad sense. For example, they may refer to fixed connections, detachable connections, or integral connections; mechanical connections, electrical connections, or mutual communication; direct connections or indirect connections through an intermediate medium; and internal communication between two components or interaction between two components. Those skilled in the art will understand the specific meanings of the above terms in the present invention based on specific circumstances.

[0029] In the present invention, unless otherwise expressly specified or limited, a first feature being "above" or "below" a second feature may include the first and second features being in direct contact, or may include the first and second features being in contact not directly but through another feature between them. Furthermore, a first feature being "above," "above," and "above" a second feature may include the first feature being directly above or obliquely above the second feature, or may simply mean that the first feature is higher in level than the second feature. A first feature being "below," "below," and "below" a second feature may include the first feature being directly below or obliquely below the second feature, or may simply mean that the first feature is lower in level than the second feature.

[0030] The disclosure below provides many different embodiments or examples for realizing different structures of the present invention. In order to simplify the disclosure of the present invention, the components and settings of specific examples are described below. Of course, they are merely examples and are not intended to limit the present invention. In addition, the present invention may repeat reference numbers and / or reference letters in different examples. Such repetition is for the purpose of simplicity and clarity and does not in itself indicate the relationship between the various embodiments and / or settings discussed. In addition, the present invention provides examples of various specific processes and materials, but those skilled in the art will recognize the application of other processes and / or the use of other materials.

[0031] The technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, not all of the embodiments. The components of the embodiments of the present invention generally described and shown in the drawings herein can be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of the present invention provided in the drawings is not intended to limit the scope of the claimed invention, but merely represents selected embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without making creative work are within the scope of protection of the present invention.

[0032] It should be noted that similar numbers and letters represent similar items in the following figures, so once an item is defined in one figure, it does not need to be further defined and explained in subsequent figures. In addition, the terms "first" and "second" are used for descriptive purposes only and are not to be understood as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, features defined as "first" and "second" may explicitly or implicitly include one or more of the said features. In the description of the present invention, the meaning of "plurality" is two or more, unless otherwise clearly and specifically defined. At the same time, in the description of the present invention, the terms "first", "second", etc. are only used to distinguish descriptions and are not to be understood as indicating or implying relative importance.

[0033] Reference Attachment Figure 1 The present invention provides a method for designing a centrifugal turntable with constant liquid film thickness, comprising the following steps: S1. Obtaining a specific contour line according to a specified implicit function; the specific contour line includes a straight line segment and a curved line segment, and one end of the straight line segment and one end of the curved line segment are smoothly connected; S2. Obtain the upper surface of the centrifugal turntable according to the specific contour line.

[0034] In this embodiment, the centrifugal disk is a rotating body whose upper surface comprises a flat surface and a curved surface, with the curved surface smoothly connected to the periphery of the flat surface. During the atomization process, the melt first flows into the flat surface. As the centrifugal disk rotates, the melt flows to the curved surface under the action of centrifugal force. The melt eventually flies off the edge of the curved surface and is atomized. Looking straight ahead at the axial cross-section of the centrifugal disk, the cross-section is symmetrical. With the axis of symmetry taken as a reference, the upper surface contour of the flat surface corresponds to a straight line segment, while the upper surface contour of the curved surface corresponds to a curved line segment.

[0035] This embodiment obtains the required straight line segments and curve segments based on the specified implicit function, thereby constructing the upper surface of the centrifugal turntable. Since the specified implicit function is proposed under the necessary condition of ensuring that the thickness of the melt liquid film on the curve segment is equal everywhere, the centrifugal turntable designed based on the specific contour line can also make the melt more evenly distributed on the upper surface of the centrifugal turntable when the melt flow is not completely opposite to the center of the centrifugal turntable. The component of the centrifugal force exerted on the melt in the tangential direction perpendicular to the curve segment can also enhance the wettability between the melt and the centrifugal turntable, thereby reducing the melt speed slip, and ultimately greatly improving the centrifugal atomization effect of the turntable or the centrifugal pre-film atomization effect of the turntable.

[0036] In some embodiments, the specific steps in step S1 include: S11. Establish the third plane rectangular coordinate system. The axis is parallel to the horizontal plane and The axis is perpendicular to the horizontal plane; S12. Starting from the origin of the third plane rectangular coordinate system, along the third plane rectangular coordinate system according to the preset first length The axis is extended to obtain a line segment as a straight line segment; S13. According to the first length, obtaining a plurality of discrete points on a third plane rectangular coordinate system by specifying an implicit function; S14. Fit all discrete points and obtain a curve segment according to the preset second length; the curve segment is in the third plane rectangular coordinate system. The projection length on the axis is equal to the second length; the second length is less than or equal to 3 times the first length.

[0037] Furthermore, the specific steps in step S13 include: S131. Take the following expression as the specified implicit function: ; in, is a discrete point in the first plane rectangular coordinate system of Axis coordinates, the first plane rectangular coordinate system is the coordinate system obtained by dimensionlessly processing the third plane rectangular coordinate system according to the first length, is a function in the first plane rectangular coordinate system At discrete points The first derivative at , is a discrete point in the first plane rectangular coordinate system of Axis coordinates, Expressed as about Function (i.e. the curve segment in the coordinate system The function below), and the condition is satisfied: when hour, and .

[0038] Reference Attachment Figure 2 and attached Figure 3 , the following will explain steps S11 to S14 in conjunction with the derivation process of the specified implicit function: First, it is assumed that the axial cross section of the centrifugal turntable is known, and half of the axial cross section is taken as a reference with the symmetry axis to obtain a specific contour line including straight segments and curved segments.

[0039] Then follow the steps below to get the specified implicit function: A1. Establish the third plane rectangular coordinate system and the fourth plane rectangular coordinate system, and record the third plane rectangular coordinate system as the coordinate system , and the fourth plane rectangular coordinate system is denoted as the coordinate system ; Coordinate system Origin coincides with the end of the straight segment away from the curve segment and the coordinate system of The axis coincides with the line segment (in this coordinate system of The axis coincides with the rotation axis of the centrifugal turntable); coordinate system Origin coincident with the curve segment and the coordinate system of The axis is tangent to the curve segment; A2. Obtain the dynamic viscosity of the melt, the melt density of the melt, the preset rotational angular velocity of the centrifugal turntable, and the coordinate system of Axes and coordinate systems of The angle between the axes; A3. Based on coordinate system and coordinate system According to the dynamic viscosity, melt density, rotation angular velocity and angle, the melt in the coordinate system is obtained. Origin Along the coordinate system of The relationship conditions satisfied by the melt velocity in the axial direction; Step A3: Based on the balance between centrifugal force and viscous force, it can be determined: A31. The relational condition is expressed as: (Formula 1); in, is the dynamic viscosity, Expressed as a pair right Find the second-order partial derivative, is the melt velocity, In the coordinate system Lower melt edge Axis direction Axis coordinates, In the coordinate system Lower point of Axis coordinates, Expressed as about Function (i.e. the curve segment in the coordinate system ), is the melt density, is the angular velocity of rotation, In the coordinate system Lower point of Axis coordinates, (also known as coordinate system Origin In the coordinate system on axis coordinates), for Axis and The angle between the axes.

[0040] A4. Obtaining the boundary conditions when the melt slips relative to the upper surface of the centrifugal turntable; In actual application, the melt is spread on the centrifugal turntable with a certain liquid film thickness. Assuming that the melt near the upper surface of the centrifugal turntable does not slip relative to the upper surface of the centrifugal turntable (that is, the wettability between the melt and the centrifugal turntable is very good), it can be determined: A41. The boundary conditions are expressed as: (Formula 2); in, Expressed as a pair right Find the first-order partial derivative.

[0041] A5. Based on the boundary conditions and relationship conditions, obtain the melt velocity calculation formula; A51. The melt velocity calculation formula is expressed as: (Formula 3); in, is the point on the curve segment where the melt The melt velocity along the tangent direction of the curve segment is is the point on the curve segment where the melt The thickness of the liquid film at point The melt at of axial direction of the liquid film height).

[0042] A6. Based on the melt velocity calculation formula, obtain the melt flow calculation formula; Based on formula 3 and the law of conservation of mass, we can determine: A61. The melt flow calculation formula is expressed as: (Formula 4); in, It is the melt flow rate from the melt flowing through the conduit to the upper surface of the centrifugal turntable. express The microelement of Points on the curve segment The flow area of ​​the melt film at point The melt at of The height of the liquid film in the axial direction is taken as a line segment around the coordinate system of The area of ​​the surface formed by rotating the axis 360°).

[0043] A7. Based on the formula for calculating the cone's lateral area, obtain the formula for calculating the flow area. It should be noted that the flow area refers to the point along of The axial extension length is The line segment (which is also equal to the thickness of the melt film at that point) around the coordinate system of The area of ​​the surface formed by the axis rotating 360° is equal to is the base radius, The side area of ​​the large cone with the length of the busbar minus is the base radius, The side area of ​​the small cone is the length of the busbar, that is: (Formula 5); therefore, (Formula 6); because (Formula 7); Therefore, after simplifying Formula 6 based on Formula 7, we can determine: A71. The infinitesimal calculation formula for the flow area is: (Formula 8); in, express of microelement.

[0044] A8. According to the flow area infinitesimal calculation formula and melt flow calculation formula, the melt in the coordinate system is obtained. Origin Calculation formula for liquid film thickness at ; Substituting Equation 8 into Equation 4, we can determine: A81. Liquid film thickness calculation formula is expressed as: (Formula 9).

[0045] According to formula 9, when 、 、 and When the constant, any point on the curve segment The thickness of the melt film at the point is related to the coordinate system Next Axis coordinates (i.e. the horizontal distance from the point to the rotation axis of the centrifugal turntable), and the corresponding angle at the point Therefore, in order to make the thickness of the melt on the curve segment equal, the formula 9 is required Remain unchanged.

[0046] A9. Based on the formula for calculating liquid film thickness, obtain the first condition for maintaining a constant liquid film thickness. By making equivalent changes to Formula 9, we can determine: A91. The first condition is expressed as: (Formula 10).

[0047] A10. Non-dimensionalize the first condition so that the coordinate system Transform into coordinate system , and the coordinate system Transform into coordinate system , and get the coordinate system based on and coordinate system The second condition; Dividing both sides of Equation 10 by the length of the straight line segment to obtain the dimensionless form of Equation 10 (after dimensionless processing, the length of the straight line segment is equal to 1), we can determine: A101. The second condition is expressed as: (Formula 11); in, is the length of the straight line segment.

[0048] Similarly, the coordinate system Axis coordinates and coordinate system The axis coordinates of the coordinate system are divided by the length of the straight line segment. Transform into the first plane rectangular coordinate system (denoted as coordinate system ), and Transform into the second plane rectangular coordinate system (denoted as coordinate system ), at this time the curve segment function Transform into function , the curve segment in the coordinate system The next point Transformed into coordinate system The next point .

[0049] A11. According to the coordinate system and coordinate system The geometric relationship of , obtain the geometric relationship formula about the angle; According to basic analytic geometry knowledge, we can determine: A111. The geometric relationship is expressed as: (Formula 12).

[0050] A12. According to the geometric relationship and the second condition, the curve segment is obtained based on the coordinate system and coordinate system The implicit function relationship of Combining Equation 11 and Equation 12, we can determine: A121. The implicit function relationship is expressed as: (Formula 13).

[0051] A13. Obtain the liquid film thickness at the second endpoint of the straight segment close to the curved segment and use it as the specified thickness; Since the thickness of the melt is equal everywhere on the curve segment, any point on the curve segment The thickness of the melt surface at the intersection of the straight line segment and the curve segment (Before dimensionless processing, the intersection of the straight line segment and the curve segment is in the coordinate system The following is recorded ) is the same as the melt film thickness (denoted as the specified thickness), so it can be determined that: A131. Calculate the specified thickness according to the following formula: (Formula 14); in, To specify thickness.

[0052] A14. Obtain the specified implicit function based on the relationship between the specified thickness and the implicit function.

[0053] After substituting Equation 14 into Equation 13, the specified implicit function can be derived.

[0054] When actually executing steps S11 to S14, since the implicit function is specified as a curve segment based on the coordinate system and coordinate system The implicit function of the coordinate system and coordinate system All are obtained after dimensionless processing, so when using the specified implicit function in the coordinate system When obtaining multiple discrete points, it is necessary to transform the coordinate system and the related coordinate points according to the preset first length. In addition, since there is generally no simple analytical solution for the specified implicit function, it is often more convenient to use a numerical solution to obtain multiple discrete points by specifying the implicit function (the numerical solution includes but is not limited to the fourth-order Runge-Kutta method. The numerical solution belongs to the prior art and will not be described here). After obtaining multiple discrete points, the fitting formula corresponding to the curve segment can be obtained by fitting all the discrete points. Finally, the value range of the fitting formula is determined according to the pre-determined centrifugal turntable design parameters to obtain the curve segment. Specifically, the second length can be determined according to the determined centrifugal turntable diameter or height, and then the curve segment is intercepted according to the second length (the value range corresponding to the intercepted curve segment should be the straight line segment away from the coordinate system). Origin As the starting point, the straight line segment and the curved line segment are smoothly connected to form a continuous specific contour line).

[0055] Reference Attachment Figure 4 For example, when the first length and the second length are both 1, the following expression for the corresponding specific contour line can be obtained: ; Compared with the method of inputting the coordinates of a large number of discrete points into the machining center, this embodiment obtains a specific contour line by fitting discrete points and then inputs the specific contour line into the machining center, which requires less data processing and is more convenient for the machining center to process.

[0056] In some embodiments, the specific steps in step S2 include: S21. In the third plane rectangular coordinate system The axis serves as a rotation axis to rotate the specific contour line 360°, and the surface formed by sweeping the specific contour line serves as the upper surface of the centrifugal turntable.

[0057] In this embodiment, the upper surface of the centrifugal turntable can be formed by rotating the specific contour line, so that it can be directly used for subsequent processing.

[0058] Reference Attachment Figure 5 The present invention provides a centrifugal turntable designed based on the design method of a centrifugal turntable with constant liquid film thickness in the above embodiment, wherein the upper surface contour line in the cross-sectional diagram of the centrifugal turntable includes a specific contour line 300.

[0059] Please refer to Figure 6 , Figure 6 In some embodiments of the present invention, a centrifugal turntable design device for equal liquid film thickness is provided. The device is integrated into a back-end control device in the form of a computer program and includes: The first acquisition module 100 is configured to obtain a specific contour line according to a specified implicit function; the specific contour line includes a straight line segment and a curved line segment, and one end of the straight line segment and one end of the curved line segment are smoothly connected; The second acquisition module 200 is configured to obtain the upper surface of the centrifugal turntable according to the specific contour line.

[0060] In some embodiments, the first acquisition module 100 executes the following when being used to obtain a specific contour line according to a specified implicit function: S11. Establish the third plane rectangular coordinate system. The axis is parallel to the horizontal plane and The axis is perpendicular to the horizontal plane; S12. Starting from the origin of the third plane rectangular coordinate system, along the third plane rectangular coordinate system according to the preset first length The axis is extended to obtain a line segment as a straight line segment; S13. According to the first length, obtaining a plurality of discrete points on a third plane rectangular coordinate system by specifying an implicit function; S14. Fit all discrete points and obtain a curve segment according to the preset second length; the curve segment is in the third plane rectangular coordinate system. The projection length on the axis is equal to the second length; the second length is less than or equal to 3 times the first length.

[0061] In some embodiments, the first acquisition module 100 executes, when used to obtain a plurality of discrete points on a third plane rectangular coordinate system by specifying an implicit function according to the first length: S131. Take the following expression as the specified implicit function: ; in, is a discrete point in the first plane rectangular coordinate system of Axis coordinates, the first plane rectangular coordinate system is the coordinate system obtained by dimensionlessly processing the third plane rectangular coordinate system according to the first length, is a function in the first plane rectangular coordinate system At discrete points The first derivative at , is a discrete point in the first plane rectangular coordinate system of Axis coordinates, Expressed as about function, and satisfies the conditions: when hour, and .

[0062] In some embodiments, when the second acquisition module 200 is used to obtain the upper surface of the centrifugal turntable according to the specific contour line, it executes: S21. In the third plane rectangular coordinate system The axis serves as a rotation axis to rotate the specific contour line 360°, and the surface formed by sweeping the specific contour line serves as the upper surface of the centrifugal turntable.

[0063] Please refer to Figure 7 , Figure 7 This is a schematic structural diagram of an electronic device provided in an embodiment of the present invention. The present invention provides an electronic device 13, comprising: a processor 1301 and a memory 1302. The processor 1301 and the memory 1302 are interconnected and communicate with each other via a communication bus 1303 and / or other forms of connection mechanisms (not shown). The memory 1302 stores computer-readable instructions executable by the processor 1301. When the electronic device is running, the processor 1301 executes the computer-readable instructions to execute the method for designing a centrifugal turntable with constant liquid film thickness in any optional implementation of the above embodiment, so as to achieve the following functions: obtaining a specific contour line according to a specified implicit function; the specific contour line includes a straight line segment and a curved line segment, and one end of the straight line segment and one end of the curved line segment are smoothly connected; and obtaining the upper surface of the centrifugal turntable according to the specific contour line.

[0064] An embodiment of the present invention provides a computer-readable storage medium having a computer program stored thereon. When the computer program is executed by a processor, the method for designing a centrifugal turntable with constant liquid film thickness in any optional implementation of the above-mentioned embodiment is executed to achieve the following functions: obtaining a specific contour line according to a specified implicit function; the specific contour line includes a straight line segment and a curved line segment, and one end of the straight line segment and one end of the curved line segment are smoothly connected; and obtaining the upper surface of the centrifugal turntable according to the specific contour line.

[0065] Among them, the computer-readable storage medium can be implemented by any type of volatile or non-volatile storage device or a combination thereof, such as static random access memory (SRAM), electrically erasable programmable read-only memory (EEPROM), erasable programmable read-only memory (EPROM), programmable read-only memory (PROM), read-only memory (ROM), magnetic storage, flash memory, magnetic disk or optical disk.

[0066] In the embodiments provided by the present invention, it should be understood that the disclosed devices and methods can be implemented in other ways. The device embodiments described above are merely schematic. For example, the division of the units is merely a logical function division. In actual implementation, there may be other division methods. For example, multiple units or components may be combined or integrated into another system, or some features may be ignored or not executed. Another point is that the mutual coupling or direct coupling or communication connection shown or discussed may be through some communication interface, the indirect coupling or communication connection of the device or unit may be electrical, mechanical or other forms.

[0067] In addition, the units described as separate components may or may not be physically separate, and the components shown as units may or may not be physical units, that is, they may be located in one place or distributed across multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.

[0068] Furthermore, the functional modules in the various embodiments of the present invention may be integrated together to form an independent part, or each module may exist independently, or two or more modules may be integrated to form an independent part.

[0069] In this document, relational terms such as first and second, etc. are used merely to distinguish one entity or operation from another entity or operation, but do not necessarily require or imply any actual relationship or order between these entities or operations.

[0070] Descriptions with reference to the terms "one embodiment," "certain embodiments," "illustrative embodiments," "examples," "specific examples," or "some examples" mean that the specific features, structures, materials, or characteristics described in conjunction with the embodiment or example are included in at least one embodiment or example of the present invention. In this specification, illustrative uses of the above terms do not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.

[0071] The foregoing description is merely an embodiment of the present invention and is not intended to limit the scope of protection of the present invention. Those skilled in the art will readily appreciate that the present invention is susceptible to various modifications and variations. Any modifications, equivalent substitutions, or improvements made within the spirit and principles of the present invention shall be included within the scope of protection of the present invention.

Claims

1. A method for designing a centrifugal turntable with constant liquid film thickness, characterized in that: The following steps are involved: S1. Obtaining a specific contour line according to a specified implicit function; the specific contour line includes a straight line segment and a curve segment, and one end of the straight line segment and one end of the curve segment are smoothly connected; S2. Obtaining the upper surface of the centrifugal turntable according to the specific contour line; The specific steps in step S1 include: S11. Establish a third plane rectangular coordinate system, the third plane rectangular coordinate system The axis is parallel to the horizontal plane and The axis is perpendicular to the horizontal plane; S12. Starting from the origin of the third plane rectangular coordinate system, along the third plane rectangular coordinate system according to a preset first length The axis is extended to obtain a line segment as the straight line segment; S13. According to the first length, obtaining a plurality of discrete points on the third plane rectangular coordinate system by the specified implicit function; S14. Fitting all the discrete points and obtaining the curve segment according to the preset second length; the curve segment in the third plane rectangular coordinate system The projection length on the axis is equal to the second length; the second length is less than or equal to 3 times the first length; The specific steps in step S13 include: S131. Taking the following expression as the specified implicit function: ; in, is the discrete point in the first plane rectangular coordinate system of axis coordinates, the first plane rectangular coordinate system is a coordinate system obtained by performing dimensionless processing on the third plane rectangular coordinate system according to the first length, is a function in the first plane rectangular coordinate system At discrete points The first-order derivative at , is the discrete point in the first plane rectangular coordinate system of Axis coordinates, Expressed as about function, and satisfies the condition: when hour, and .

2. The method for designing a centrifugal turntable with constant liquid film thickness according to claim 1, characterized in that: The specific steps in step S2 include: S21. Using the third plane rectangular coordinate system The axis is used as a rotation axis to rotate the specific contour line 360 ​​degrees, and the surface formed by sweeping the specific contour line is used as the upper surface of the centrifugal turntable.

3. A centrifugal turntable design device with equal liquid film thickness, characterized in that: include: A first acquisition module is used to obtain a specific contour line according to a specified implicit function; the specific contour line includes a straight line segment and a curve segment, and one end of the straight line segment and one end of the curve segment are smoothly connected; A second acquisition module, used for obtaining the upper surface of the centrifugal turntable according to the specific contour line; The first acquisition module is executed when being used to obtain a specific contour line according to a specified implicit function: S11. Establish a third plane rectangular coordinate system, the third plane rectangular coordinate system The axis is parallel to the horizontal plane and The axis is perpendicular to the horizontal plane; S12. Starting from the origin of the third plane rectangular coordinate system, along the third plane rectangular coordinate system according to a preset first length The axis is extended to obtain a line segment as the straight line segment; S13. According to the first length, obtaining a plurality of discrete points on the third plane rectangular coordinate system by the specified implicit function; S14. Fitting all the discrete points and obtaining the curve segment according to the preset second length; the curve segment in the third plane rectangular coordinate system The projection length on the axis is equal to the second length; the second length is less than or equal to 3 times the first length; The first acquisition module is executed when being used to obtain a plurality of discrete points on the third plane rectangular coordinate system according to the first length by using the specified implicit function: S131. Taking the following expression as the specified implicit function: ; in, is the discrete point in the first plane rectangular coordinate system of axis coordinates, the first plane rectangular coordinate system is a coordinate system obtained by performing dimensionless processing on the third plane rectangular coordinate system according to the first length, is a function in the first plane rectangular coordinate system At discrete points The first-order derivative at , is the discrete point in the first plane rectangular coordinate system of Axis coordinates, Expressed as about function, and satisfies the condition: when hour, and .

4. The centrifugal turntable design device with equal liquid film thickness according to claim 3 is characterized in that: The second acquisition module is executed when being used to obtain the upper surface of the centrifugal turntable according to the specific contour line: S21. Using the third plane rectangular coordinate system The axis is used as a rotation axis to rotate the specific contour line 360 ​​degrees, and the surface formed by sweeping the specific contour line is used as the upper surface of the centrifugal turntable.

5. An electronic device, characterized in that: The method comprises a processor and a memory, wherein the memory stores computer-readable instructions. When the computer-readable instructions are executed by the processor, the steps in the method for designing a centrifugal turntable with equal liquid film thickness as described in any one of claims 1 to 2 are executed.

6. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by the processor, the steps in the method for designing a centrifugal turntable with equal liquid film thickness as described in any one of claims 1-2 are executed.

7. A centrifugal turntable designed based on the design method of a centrifugal turntable with equal liquid film thickness as claimed in any one of claims 1 to 2, characterized in that: The upper surface contour line in the cross-sectional graph of the centrifugal turntable includes the specific contour line.

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