A centrifugal turntable design method with equal liquid film thickness, related equipment and centrifugal turntable

Abstract

The present invention provides a centrifugal turntable design method with equal liquid film thickness, related equipment and a centrifugal turntable, and relates to the technical field of metal additive manufacturing. The centrifugal turntable design method with equal liquid film thickness comprises the steps of: obtaining a specific contour line according to a specified implicit function; the specific contour line comprises 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. The centrifugal turntable design method with equal liquid film thickness of the present invention can effectively improve the distribution uniformity of the metal melt on the upper surface of the turntable and reduce the speed slip, so as to achieve a good atomization effect even when the metal melt flow is not completely facing the center of the turntable.

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 rotating disc centrifugal atomization process and the rotating 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 rotating disc can be used as a direct atomization carrier of metal powders, and can also be used as a pre-carrier for the rotating disc centrifugal pre-filming gas atomization process.

[0003] However, in the turntable 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 in the circumferential direction, which will make the particle size distribution of the metal melt prepared by the turntable 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 direction of the liquid film thickness, and weaken the turntable centrifugal atomization effect.

[0004] 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 rotary disc 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.

[0005] 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.

[0006] Therefore, in the case where the molten metal flow is not completely facing the center of the turntable, how to improve the distribution uniformity of the molten metal on the upper surface of the turntable and reduce the speed slip has become a key issue that needs to be urgently solved to improve the centrifugal atomization effect of the turntable and the centrifugal pre-film atomization effect of the turntable. Summary of the invention

[0007] The object 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 the speed slip, so as to achieve a good atomization effect when the metal melt flow is not completely facing the center of the turntable.

[0008] In a first aspect, the present invention provides a method for designing a centrifugal turntable with constant liquid film thickness, comprising the following steps:

[0009] 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;

[0010] S2. Obtaining the upper surface of the centrifugal turntable according to the specific contour line;

[0011] The specific steps in step S1 include:

[0012] 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;

[0013] 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;

[0014] S13. According to the first length, obtaining a plurality of discrete points on the third plane rectangular coordinate system by the specified implicit function;

[0015] 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;

[0016] The specific steps in step S13 include:

[0017] S131. Taking the following expression as the specified implicit function:

[0018] ;

[0019] 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 .

[0020] The method for designing a centrifugal turntable with constant liquid film thickness provided by the present invention is designed according to the contour shape of the upper surface of the centrifugal turntable, so that when the molten metal flow is not completely facing the center of the turntable, the surface structure of the centrifugal turntable can control the molten metal film to maintain a uniform thickness and reduce speed slip, which is beneficial to improving the atomization effect.

[0021] Furthermore, the specific steps in step S2 include:

[0022] 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.

[0023] In a second aspect, the present invention provides a centrifugal turntable design device with equal liquid film thickness, comprising:

[0024] 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;

[0025] A second acquisition module, used for obtaining the upper surface of the centrifugal turntable according to the specific contour line;

[0026] The first acquisition module is executed when being used to obtain a specific contour line according to a specified implicit function:

[0027] 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;

[0028] 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;

[0029] S13. According to the first length, obtaining a plurality of discrete points on the third plane rectangular coordinate system by the specified implicit function;

[0030] 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;

[0031] 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:

[0032] S131. Taking the following expression as the specified implicit function:

[0033] ;

[0034] 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 .

[0035] The device for designing a centrifugal turntable with equal 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 opposite to 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.

[0036] Further, the second acquisition module executes, when used to obtain the upper surface of the centrifugal turntable according to the specific contour line:

[0037] 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.

[0038] 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.

[0039] In a fourth aspect, the present invention provides a computer-readable storage medium having a computer program stored thereon, wherein when the computer program is executed by a processor, the steps in the method for designing a centrifugal turntable with equal liquid film thickness provided in the first aspect are executed.

[0040] In a fifth aspect, the present invention provides a centrifugal turntable designed based on the above-mentioned method for designing a centrifugal turntable with equal liquid film thickness, wherein the upper surface contour line in the cross-sectional graph of the centrifugal turntable includes the specific contour line.

[0041] From the above, it can be seen that the design method of a centrifugal turntable with equal liquid film thickness provided by the present invention is designed according to 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 upper surface contour line of the centrifugal turntable with equal 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 tangent direction of the upper surface contour line of the turntable will also enhance the wettability between the metal melt and the centrifugal turntable, thereby improving the uniformity of the distribution of the metal melt on the upper surface of the turntable and reducing the 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.

[0042] Other features and advantages of the present invention will be described in the following description, and partly become apparent from the description, or be understood by implementing the embodiments of the present invention. The purpose and other advantages of the present invention can be realized and obtained by the structures particularly pointed out in the written description and the drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0043] Figure 1 A flow chart of a method for designing a centrifugal turntable with constant liquid film thickness provided in an embodiment of the present invention.

[0044] Figure 2 In the embodiment of the present invention, in the coordinate system The specific contour line below.

[0045] Figure 3 In the embodiment of the present invention, in the coordinate system The specific contour line below.

[0046] Figure 4 It is a curve segment when the first length and the second length are both 1 in the embodiment of the present invention.

[0047] Figure 5 A schematic structural diagram of a centrifugal turntable provided in an embodiment of the present invention.

[0048] Figure 6 A schematic structural diagram of a centrifugal turntable design device with equal liquid film thickness provided in an embodiment of the present invention.

[0049] Figure 7 A schematic diagram of the structure of an electronic device provided by an embodiment of the present invention.

[0050] Description of labels:

[0051] 100. First acquisition module; 200. Second acquisition module; 300. Specific contour line; 13. Electronic device; 1301. Processor; 1302. Memory; 1303. Communication bus. DETAILED DESCRIPTION

[0052] 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 cannot be understood as limiting the present invention.

[0053] 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 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 referred device or element must have a specific orientation, be constructed and operated in a specific orientation, and therefore should not be understood as limiting the present invention.

[0054] In the description of the present invention, it should be noted that, unless otherwise clearly specified and limited, the terms "installed", "connected", and "connected" should be understood in a broad sense, for example, it can be a fixed connection, a detachable connection, or an integral connection; it can be a mechanical connection, an electrical connection, or mutual communication; it can be a direct connection, or an indirect connection through an intermediate medium, it can be the internal connection of two elements or the interaction relationship between two elements. For ordinary technicians in this field, the specific meanings of the above terms in the present invention can be understood according to specific circumstances.

[0055] In the present invention, unless otherwise clearly specified and limited, a first feature being "above" or "below" a second feature may include that the first and second features are in direct contact, or may include that the first and second features are not in direct contact but are in contact through another feature between them. Moreover, a first feature being "above", "above" and "above" a second feature includes that the first feature is directly above and obliquely above the second feature, or simply indicates that the first feature is higher in level than the second feature. A first feature being "below", "below" and "below" a second feature includes that the first feature is directly below and obliquely below the second feature, or simply indicates that the first feature is lower in level than the second feature.

[0056] The disclosure below provides many different embodiments or examples to realize different structures of the present invention. In order to simplify the disclosure of the present invention, the parts and settings of specific examples are described below. Of course, they are only examples, and the purpose is not to limit the present invention. In addition, the present invention can repeat reference numbers and / or reference letters in different examples, and this repetition is for the purpose of simplicity and clarity, which itself does not indicate the relationship between the various embodiments and / or settings discussed. In addition, the present invention provides various specific examples of processes and materials, but those of ordinary skill in the art can be aware of the application of other processes and / or the use of other materials.

[0057] 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, rather than all the embodiments. The components of the embodiments of the present invention generally described and shown in the drawings here 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 the 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 belong to the scope of protection of the present invention.

[0058] 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 cannot be understood as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, the features defined as "first" and "second" may explicitly or implicitly include one or more of the features. In the description of the present invention, the meaning of "multiple" 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 the description and cannot be understood as indicating or implying relative importance.

[0059] Reference Figure 1 The present invention provides a method for designing a centrifugal turntable with equal liquid film thickness, comprising the following steps:

[0060] 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;

[0061] S2. Obtaining the upper surface of the centrifugal turntable according to the specific contour line.

[0062] In this embodiment, the centrifugal turntable is a rotating body, and its upper surface includes a plane portion and a curved portion, and the curved portion is smoothly connected to the circumference of the plane portion. During the atomization process, the melt first flows into the plane portion, and as the centrifugal turntable rotates, the melt flows to the curved portion under the action of centrifugal force, and the melt eventually flies off the upper surface of the centrifugal turntable from the edge of the curved portion and is atomized. Looking straight at the axial section of the centrifugal turntable, the axial section is a symmetrical figure, and half of the axial section is taken as a reference with the axis of symmetry. The upper surface contour line of the plane portion corresponds to a straight line segment, and the upper surface contour line of the curved portion corresponds to a curve segment.

[0063] 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 film on the curve segment is equal everywhere, the centrifugal turntable designed based on the specific contour line can 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 tangent 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 turntable centrifugal atomization effect or the turntable centrifugal pre-film atomization effect.

[0064] In some embodiments, the specific steps in step S1 include:

[0065] 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;

[0066] 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;

[0067] S13. According to the first length, obtaining a plurality of discrete points on a third plane rectangular coordinate system by specifying an implicit function;

[0068] 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.

[0069] Furthermore, the specific steps in step S13 include:

[0070] S131. Take the following expression as the specified implicit function:

[0071] ;

[0072] in, is the 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-order derivative at , is the 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 satisfies the condition: when hour, and .

[0073] Reference 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:

[0074] Firstly, it is assumed that the axial section of the centrifugal turntable is known, and half of the axial section is taken as a reference with the axis of symmetry to obtain a specific contour line including straight line segments and curved line segments.

[0075] Then follow the steps below to get the specified implicit function:

[0076] 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;

[0077] 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;

[0078] 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;

[0079] Step A3 Based on the balance of centrifugal force and viscous force, it can be determined:

[0080] A31. The relational condition is expressed as: (Formula 1);

[0081] 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 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.

[0082] A4. Obtaining the boundary conditions when the melt slips relative to the upper surface of the centrifugal turntable;

[0083] In practical applications, the melt is spread on the centrifugal turntable with a certain liquid film thickness. Assuming that the melt close to 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:

[0084] A41. The boundary conditions are expressed as: (Formula 2);

[0085] in, Expressed as a pair right Find the first-order partial derivative.

[0086] A5.According to the boundary conditions and relationship conditions, the melt velocity calculation formula is obtained;

[0087] A51. The melt velocity calculation formula is expressed as:

[0088] (Formula 3);

[0089] in, is the point on the curve segment where the melt The melt velocity along the tangent direction of the curve segment at 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).

[0090] A6. According to the melt velocity calculation formula, obtain the melt flow calculation formula;

[0091] Based on formula 3, according to the law of conservation of mass, it can be determined that:

[0092] A61. The melt flow calculation formula is expressed as: (Formula 4);

[0093] in, is the melt flow rate from the melt flowing through the conduit to the upper surface of the centrifugal turntable, express The microelement, For 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°).

[0094] A7. Based on the cone side area calculation formula, obtain the flow area calculation formula;

[0095] 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) revolves around the coordinate system of The area of ​​the surface swept by the axis after rotating 360° is equal to is the base radius, The side area of ​​the large cone is the length of the generatrix minus is the base radius, The side area of ​​the small cone is the length of the generatrix, that is:

[0096] (Formula 5);

[0097] therefore, (Formula 6);

[0098] because (Formula 7);

[0099] Therefore, after simplifying Formula 6 based on Formula 7, we can determine:

[0100] A71. The infinitesimal calculation formula for the flow area is expressed as:

[0101] (Formula 8);

[0102] in, express The microelement of .

[0103] 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 the thickness of the liquid film at ;

[0104] Substituting Equation 8 into Equation 4, we determine:

[0105] A81. Liquid film thickness calculation formula is expressed as: (Formula 9).

[0106] According to formula 9, when , , and When the curve segment is unchanged, any point on the curve segment The thickness of the melt film at a point is related to the thickness of the melt film at that point in 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 melt thickness on the curve segment equal everywhere, it is necessary to Remain unchanged.

[0107] A9. According to the liquid film thickness calculation formula, the first condition for keeping the liquid film thickness unchanged is obtained;

[0108] By making equivalent changes to formula 9, we can determine:

[0109] A91. The first condition is expressed as: (Formula 10).

[0110] A10. Non-dimensionalize the first condition so that the coordinate system Transform to coordinate system , and the coordinate system Transform to coordinate system , and get the coordinate system based on and coordinate system The second condition;

[0111] Dividing both sides of formula 10 by the length of the straight line segment, we can obtain the dimensionless form of formula 10 (after dimensionless processing, the length of the straight line segment is equal to 1), and we can determine:

[0112] A101. The second condition is expressed as: (Formula 11);

[0113] in, is the length of the straight line segment.

[0114] 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 ), then the curve segment function Transform into function , the curve segment in the coordinate system The next point Transformed into coordinate system The next point .

[0115] A11. According to the coordinate system and coordinate system The geometric relationship of , obtain the geometric relationship formula about the angle;

[0116] According to basic analytic geometry knowledge, we can determine:

[0117] A111. The geometric relationship is expressed as: (Formula 12).

[0118] 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 ;

[0119] Combining Formula 11 and Formula 12, we can determine:

[0120] A121. The implicit function relationship is expressed as: (Formula 13).

[0121] A13. Obtain the thickness of the liquid film at the second end point of the straight line segment close to the curved line segment and use it as the specified thickness;

[0122] 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 point 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:

[0123] A131. Calculate the specified thickness according to the following formula: (Formula 14);

[0124] in, To specify thickness.

[0125] A14. Obtain the specified implicit function based on the specified thickness and implicit function relationship.

[0126] After substituting Formula 14 into Formula 13, the specified implicit function can be derived.

[0127] 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 are obtained after dimensionless processing, so when using the specified implicit function in the coordinate system When multiple discrete points are obtained, the coordinate system and related coordinate points need to be transformed according to the preset first length. In addition, since there is generally no simple analytical solution for the specified implicit function, a numerical solution is often used to more conveniently 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 repeated 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 The end of the line is taken as the starting point to ensure that the straight line segment and the curve segment are smoothly connected to form a continuous specific contour line).

[0128] Reference Figure 4 , for example, when the first length and the second length are both 1, the following expression of the corresponding specific contour line can be obtained:

[0129] ;

[0130] Compared with the method of inputting the coordinates of a large number of discrete points into the machining center, the method of fitting discrete points to obtain a specific contour line and then inputting the specific contour line into the machining center has less data processing volume and is more convenient for the machining center to process.

[0131] In some embodiments, the specific steps in step S2 include:

[0132] S21. In the third plane rectangular coordinate system The axis is used as a rotation axis to rotate the specific contour line 360°, and the surface formed by sweeping the specific contour line is used as the upper surface of the centrifugal turntable.

[0133] 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.

[0134] Reference Figure 5 The present invention provides a centrifugal turntable designed based on the design method of a centrifugal turntable with equal liquid film thickness in the above embodiment, and the upper surface contour line in the cross-sectional diagram of the centrifugal turntable includes a specific contour line 300.

[0135] Please refer to Figure 6 , Figure 6 A centrifugal turntable design device for equal liquid film thickness in some embodiments of the present invention is integrated in a back-end control device in the form of a computer program, comprising:

[0136] The first acquisition module 100 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;

[0137] The second acquisition module 200 is used to obtain the upper surface of the centrifugal turntable according to the specific contour line.

[0138] In some embodiments, the first acquisition module 100 executes, when used to obtain a specific contour line according to a specified implicit function:

[0139] 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;

[0140] 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;

[0141] S13. According to the first length, obtaining a plurality of discrete points on a third plane rectangular coordinate system by specifying an implicit function;

[0142] 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.

[0143] In some embodiments, the first acquisition module 100 is 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, when performing:

[0144] S131. Take the following expression as the specified implicit function:

[0145] ;

[0146] in, is the 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-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 .

[0147] 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:

[0148] S21. In the third plane rectangular coordinate system The axis is used as a rotation axis to rotate the specific contour line 360°, and the surface formed by sweeping the specific contour line is used as the upper surface of the centrifugal turntable.

[0149] Please refer to Figure 7 , Figure 7 A structural schematic diagram of an electronic device provided in an embodiment of the present invention, the present invention provides an electronic device 13, including: a processor 1301 and a memory 1302, the processor 1301 and the memory 1302 are interconnected and communicate with each other through a communication bus 1303 and / or other forms of connection mechanisms (not marked), 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 equal liquid film thickness centrifugal turntable design method in any optional implementation of the above embodiment, 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, one end of the straight line segment and one end of the curved line segment are smoothly connected; obtaining the upper surface of the centrifugal turntable according to the specific contour line.

[0150] 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 equal 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.

[0151] 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 red-only memory (PROM), read-only memory (ROM), magnetic storage, flash memory, magnetic disk or optical disk.

[0152] 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 only schematic. For example, the division of the units is only a logical function division. There may be other division methods in actual implementation. For example, multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. Another point is that the mutual coupling or direct coupling or communication connection shown or discussed can be through some communication interfaces, and the indirect coupling or communication connection of devices or units can be electrical, mechanical or other forms.

[0153] In addition, the units described as separate components may or may not be physically separated, and the components shown as units may or may not be physical units, that is, they may be located in one place or distributed on 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.

[0154] 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.

[0155] 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 such actual relationship or order between these entities or operations.

[0156] Descriptions with reference to the terms "one embodiment", "certain embodiments", "illustrative embodiments", "examples", "specific examples", or "some examples" are intended to 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, the schematic representations 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.

[0157] The above description is only an embodiment of the present invention and is not intended to limit the protection scope of the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope 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 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 of 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 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 of 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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