Topological design method for tenon joint structure of air-cooled turbine blades

Through the design method combining Bezier curve method and parameterization standards, a three-dimensional dove-and-joint structure that meets the standards is generated, solving the problems of complex design and manufacturing difficulties in the prior art, and achieving efficient and accurate design and manufacturing.

CN118410594BActive Publication Date: 2025-04-29HARBIN INST OF TECH +1
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Patent Information

Application Number
CN202410556052.0
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2024-05-07
Publication Date
2025-04-29
Estimated Expiration
2044-05-07

AI Technical Summary

Technical Problem

The existing tenon and joint structure is complex in design and difficult to manufacture, and it is difficult to meet the strength and stability requirements of air-cooled turbine blades in high temperature, high pressure and high speed environments.

Method used

The chamfered structure is obtained by using the three-point second-order Bezier curve method, and the four-point third-order Bezier curve method generates rounded corners in the top area. Combining the parameterization standards of the tenon and joint structure and geometric processing methods, a three-dimensional tenon and joint structure structure that meets the standards is generated, and a three-dimensional structured mesh is processed through the Laplace and algebraic method to generate a three-dimensional structured mesh.

Benefits of technology

The design process of the dove-and-joint structure is simplified, the design efficiency and accuracy are improved, the structure shape is realized, the strength, stability and reliability of the dove-and-joint structure is ensured, and the workload of subsequent processing and adjustment is reduced.

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Abstract

A method for topological design of a tenon joint structure of an air-cooled turbine blade relates to the field of engine turbine blade design. The method solves the problem that the existing tenon joint structure is complex in design and difficult to manufacture. The method comprises: obtaining a chamfer structure according to input parameters and a three-point second-order Bezier curve method; generating a fillet of the top area using a four-point third-order Bezier curve method; determining a three-dimensional tenon joint structure according to the chamfer structure, the fillet of the top area, the cutting angle, and the length of the tenon; generating a tenon joint structure parameterized geometry according to a tenon joint structure parameterization standard and a three-dimensional tenon joint structure; processing the tenon joint structure parameterized geometry according to the Laplace and algebraic method to obtain a two-dimensional structured mesh of the tenon joint structure; and stretching the two-dimensional mesh according to the cutting angle to obtain a structured mesh of the three-dimensional tenon joint structure. The present invention is applicable to practical engineering application fields.
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Description

Technical Field

[0001] The invention relates to the field of engine turbine blade design, and in particular to a topological design method for a tenon joint structure of an air-cooled turbine blade. Background Art

[0002] Turbine blades are the core components of aircraft engines, responsible for converting the energy generated by gas into mechanical energy, thereby driving the entire engine. In turbine blades, the mortise and tenon structure plays a vital role as a component connecting blades and impellers. It not only withstands the test of extreme working environments such as high temperature, high pressure, and high speed, but also serves as a key link in transmitting force between blades and impellers.

[0003] The strength and stability of the tenon joint structure directly affect the working performance and service life of the turbine blades. If the tenon joint structure is not designed properly or there are manufacturing defects, it may cause the blades to fall off during high-speed rotation, causing serious safety accidents. Therefore, the research and optimization of the tenon joint structure has always been an important topic in the field of aero engines.

[0004] In actual production and preparation, the parametric definition of the mortise and tenon structure must meet the standards and processability. For this reason, the mortise and tenon structure was parameterized with reference to the Chinese aviation industry standard (HB5965-2002) when determining the parameters of the mortise and tenon structure.

[0005] According to the research on tenon joints in recent years, a series of parametric generation and optimization methods for tenon joints that can be used in engineering practice have been developed. The most representative one is that Rolls-Royce has systematically studied the optimization design technology of fir-tree tenon / mortise structure, and believes that optimization design plays a very important role in the design process of this structure. Combining intelligent computer-aided design system (ICAD) and finite element analysis, a variety of optimization algorithms are applied to optimize the fir-tree tenon / mortise structure, and the entire design process is completed automatically by the program. The initial model comes from the existing tenon / mortise structure provided by Rolls-Royce. The initial structure is described by nearly 20 parameters and consists only of straight line segments and arcs. After studying the influence of these geometric parameters on the stress distribution of the contact boundary, they are divided into two parts. One part of the parameters has a greater influence on the stress distribution and is used as a design variable; the other part has little influence on the stress distribution and is treated as a constant, usually determined by experience. On this basis, Wenbin Song conducted further research on the shape optimization of the tenon teeth, pointing out that the traditional tenon / mortise structure is composed only of straight lines and arcs. When it is necessary to reduce the stress in the transition area between the tooth and the blade root or rim, the arc radius of the transition area must be increased, which reduces the contact length of the tooth, resulting in an increase in the compressive stress on the tooth surface and an increase in the area (weight) of the structure. Using spline curves to describe the shape of the transition area will better solve this series of problems and obtain a longer fatigue life, but it will also increase the difficulty of manufacturing. Summary of the invention

[0006] In view of the problems that the existing tenon joint structure is complex in design and difficult to manufacture, the present invention proposes a topological design method for the tenon joint structure of an air-cooled turbine blade, the method comprising:

[0007] S1: Obtain the chamfer structure according to the input parameters and the three-point second-order Bezier curve method;

[0008] S2: A four-point third-order Bezier curve method is used to generate the rounded corners of the top area;

[0009] S3: Determine the three-dimensional tenon structure according to the chamfer structure, the fillet of the top area, the cutting angle and the tenon length;

[0010] S4: Generate the parametric geometry of the mortise and tenon structure according to the parametric standard of the mortise and tenon structure and the three-dimensional mortise and tenon structure;

[0011] S5: Process the parameterized geometry of the mortise and tenon structure according to the Laplace and algebraic methods to obtain the two-dimensional structured mesh of the mortise and tenon structure;

[0012] S6: The two-dimensional mesh is stretched according to the cutting angle to obtain the structured mesh of the three-dimensional mortise and tenon structure.

[0013] Furthermore, a preferred method is proposed, in which the parameters in step S1 include a reduced chamfer radius R, the number of Bezier curve control points Nbesir, key control point data pleng, and redundant point translation instruction pflag.

[0014] Furthermore, a preferred embodiment is proposed, wherein the mortise and tenon structure topology design method further includes parameterized generation of the mortise and tenon:

[0015] Determine the tenon contact center line according to the tenon circumferential angle φ;

[0016] According to the distance of the tenon tooth contact center point along the center line direction, the contact center point position of each tenon tooth is determined;

[0017] The geometry of each tenon is determined according to the semi-contact length, direction angle, inner and outer fillets of each tenon joint structure;

[0018] Based on the number of blades and root width data, determine the overall size of the tenon, the number and size of the blades.

[0019] Furthermore, a preferred method is proposed, wherein step S1 comprises:

[0020] Generate an arc using a Bezier curve:

[0021]

[0022] Among them, p i is the control point position vector, w i is the weight of the i-th control point, and the shape of the curve is determined by p i With w i Joint control, B i,n (t) is the Bernstein basis function;

[0023] When the curve is composed of 3-point 2nd-order Bezier curves, the Bezier curve is used to generate the chamfer, where the radius r of the chamfer is:

[0024] r=R×Cos(tht)

[0025] Among them, tht is the angle subtended by the radius of the arc.

[0026] Furthermore, a preferred method is proposed, wherein step S2 comprises:

[0027] Determine a fillet starting point and an end point on the edge of the fillet, wherein the starting point is a first control point and the end point is a fourth control point;

[0028] Select two control points between the start point and the end point;

[0029] The size and shape of the fillet are determined according to the ratio of the distance between the second control point and the first control point to the reduced chamfer radius R, and the ratio of the distance between the third control point and the fourth control point to the radius R;

[0030] Input the four control points into the third-order Bezier curve formula to generate the rounded corner curve of the top area.

[0031] Furthermore, a preferred embodiment is proposed, wherein step S5 comprises:

[0032] According to the parametric geometry of the mortise and tenon structure, the mesh is divided into a number of quadrilaterals;

[0033] Using algebraic methods, the quadrilateral mesh is modeled as a simplified Laplace equation;

[0034] Solving the Laplace equation to obtain a coarse grid;

[0035] The coarse mesh is optimized using a mesh encryption algorithm to obtain the final two-dimensional structured mesh of the mortise and tenon structure.

[0036] Furthermore, a preferred embodiment is proposed, wherein the Laplace equation includes:

[0037]

[0038] Among them, p i0 is the coordinate value vector of the grid node; a is the number of grid nodes adjacent to the grid node; p ij is the coordinate value vector of the grid nodes adjacent to this grid node.

[0039] Furthermore, a preferred embodiment is proposed, wherein a=4.

[0040] Based on the same inventive concept, the present invention also proposes a computer device, including a memory and a processor, wherein a computer program is stored in the memory. When the processor runs the computer program stored in the memory, the processor executes the topology design method of the air-cooled turbine blade mortise and tenon structure according to any one of the above items.

[0041] Based on the same inventive concept, the present invention also proposes a computer-readable storage medium, which is used to store a computer program, and the computer program executes the topology design method of the air-cooled turbine blade mortise and tenon joint structure as described in any one of the above items.

[0042] The present invention is beneficial in that:

[0043] The topological design method of the tenon joint structure of an air-cooled turbine blade proposed in the present invention adopts a three-point second-order Bezier curve method to obtain a chamfer structure, and a four-point third-order Bezier curve method to generate a fillet in the top area, which takes advantage of the mathematical curve and can accurately describe the complex surface shape, thereby simplifying the design process of the tenon joint structure. In practical applications, the control points of the curve can be flexibly adjusted to meet the needs of different shapes and sizes while maintaining the smoothness and aesthetics of the structure. By determining the three-dimensional tenon joint structure according to parameters such as the chamfer structure, the fillet in the top area, the cutting angle, and the length of the tenon, the flexible control of the structural shape is achieved. Combined with the parameterization standard and geometric processing method of the tenon joint structure, a standard tenon joint structure geometric model can be automatically generated according to different design requirements and manufacturing conditions, greatly improving the design efficiency and accuracy. The parameterized geometry of the tenon joint structure is processed by Laplace and algebraic methods to obtain a two-dimensional structured grid of the tenon joint structure, and then the two-dimensional grid is stretched according to the cutting angle to obtain a structured grid of the three-dimensional tenon joint structure. This method can effectively handle the grid generation problem of complex structures, ensure the stability and reliability of the tenon joint structure in actual manufacturing and use, and reduce the workload of subsequent processing and adjustment.

[0044] In the topological design method of the mortise and tenon structure of the air-cooled turbine blade proposed in the present invention, the Bezier curve method used can effectively describe complex curve shapes, so that the chamfer structure and the fillet of the top area can be obtained according to the input parameters, and have high smoothness and continuity. Taking multiple design parameters into comprehensive consideration, the three-dimensional mortise and tenon structure is determined, which can meet the specific requirements of the air-cooled turbine blades while ensuring the strength and stability of the structure. According to the characteristics and parameterization standards of the mortise and tenon structure, the three-dimensional mortise and tenon structure is converted into a parametric geometric model. In this way, the structure can be easily modified and optimized, and the design efficiency and accuracy are improved. The parametric geometry is processed by mathematical methods to obtain a two-dimensional structured grid, which provides a basis for subsequent grid generation and analysis. By adjusting the cutting angle and stretching the two-dimensional grid, it is converted into a three-dimensional structured grid. This step converts the mortise and tenon structure from theoretical design to actual manufacturing, ensuring the accuracy and manufacturability of the structure. BRIEF DESCRIPTION OF THE DRAWINGS

[0045] Figure 1 A flow chart of a topology design method for an air-cooled turbine blade tenon joint structure according to the first embodiment;

[0046] Figure 2 It is a schematic diagram of the non-uniform rational Bezier curve method described in the second implementation mode;

[0047] Figure 3 This is a schematic diagram of using a Bezier curve to generate an arc according to the fourth implementation mode;

[0048] Figure 4This is a schematic diagram of the Laplace grid described in Implementation Example 6;

[0049] Figure 5 A schematic diagram of a two-dimensional structured grid of the mortise and tenon structure described in Embodiment 6. DETAILED DESCRIPTION

[0050] In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, 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 part of the embodiments of the present invention, not all of the embodiments.

[0051] Implementation method 1, see Figure 1 The method for topological design of the tenon joint structure of an air-cooled turbine blade described in this embodiment comprises:

[0052] S1: Obtain the chamfer structure according to the input parameters and the three-point second-order Bezier curve method;

[0053] S2: A four-point third-order Bezier curve method is used to generate the rounded corners of the top area;

[0054] S3: Determine the three-dimensional tenon structure according to the chamfer structure, the fillet of the top area, the cutting angle and the tenon length;

[0055] S4: Generate the parametric geometry of the mortise and tenon structure according to the parametric standard of the mortise and tenon structure and the three-dimensional mortise and tenon structure;

[0056] S5: Process the parameterized geometry of the mortise and tenon structure according to the Laplace and algebraic methods to obtain the two-dimensional structured mesh of the mortise and tenon structure;

[0057] S6: The two-dimensional mesh is stretched according to the cutting angle to obtain the structured mesh of the three-dimensional mortise and tenon structure.

[0058] The topological design method proposed in this embodiment adopts a three-point second-order Bezier curve method to obtain a chamfer structure, and a four-point third-order Bezier curve method to generate a fillet in the top area, which takes advantage of the mathematical curve and can accurately describe complex curved surface shapes, thereby simplifying the design process of the tenon structure. This method can flexibly adjust the control points of the curve to meet the needs of different shapes and sizes while maintaining the smoothness and aesthetics of the structure. By determining the three-dimensional tenon structure according to parameters such as the chamfer structure, the fillet of the top area, the cutting angle, and the length of the tenon, flexible control of the structural shape is achieved. Combined with the parameterization standard and geometric processing method of the tenon structure, a standard tenon structure geometric model can be automatically generated according to different design requirements and manufacturing conditions, greatly improving the design efficiency and accuracy. The Laplace and algebraic method is used to process the parameterized geometry of the tenon structure to obtain a two-dimensional structured grid of the tenon structure, and then the two-dimensional grid is stretched according to the cutting angle to obtain a structured grid of the three-dimensional tenon structure. This method can effectively handle the grid generation problem of complex structures, ensure the stability and reliability of the tenon structure in actual manufacturing and use, and reduce the workload of subsequent processing and adjustment.

[0059] Specifically, the Bezier curve method proposed in this embodiment can effectively describe complex curve shapes, so that the chamfered structure and the fillet of the top area can be obtained according to the input parameters, and have high smoothness and continuity. Taking multiple design parameters into comprehensive consideration, the three-dimensional mortise and tenon structure is determined, which can meet the specific requirements of air-cooled turbine blades while ensuring the strength and stability of the structure. According to the characteristics and parameterization standards of the mortise and tenon structure, the three-dimensional mortise and tenon structure is converted into a parametric geometric model. In this way, the structure can be easily modified and optimized to improve the design efficiency and accuracy. The parametric geometry is processed by mathematical methods to obtain a two-dimensional structured grid, which provides a basis for subsequent grid generation and analysis. By adjusting the cutting angle and stretching the two-dimensional grid, it is converted into a three-dimensional structured grid. This step converts the mortise and tenon structure from theoretical design to actual manufacturing, ensuring the accuracy and manufacturability of the structure.

[0060] Implementation Method 2: See Figure 2 This embodiment further defines the topological design method for the mortise joint structure of the air-cooled turbine blades described in Embodiment 1, wherein the parameters in step S1 include the reduced chamfer radius R, the number of Bezier curve control points Nbesir, the key data of the control points pleng, and the redundant point translation instruction pflag.

[0061] With the newly added parameters, such as the reduced chamfer radius and the number of Bezier curve control points, the shape of chamfers and curves can be controlled more accurately, thus achieving a more refined design. The introduction of control point key data and redundant point translation instructions allows users to customize the design according to specific needs to meet the specific requirements of different engineering projects. Through parametric design and more precise control, the number of trial and error in the design and manufacturing process can be reduced, and the design efficiency and accuracy can be improved. The introduction of new parameters makes the design process more flexible, and the design can be adjusted according to specific parameter values ​​without having to redesign the entire structure, thereby improving the efficiency and controllability of the design. The settings of the reduced chamfer radius and the number of Bezier curve control points affect the shape of chamfers and curves. The introduction of control point key data and redundant point translation instructions allows the key points of the curve to be located and adjusted, thus achieving precise control of design details.

[0062] In practical applications, when the number of control points of the Bezier curve is 3, the pleng parameter is not applicable, because the three control points have determined the shape of the Bezier curve and no additional control point key data is required.

[0063] When the number of Bezier curve control points is 4, the pleng parameter includes two values:

[0064] The first value represents the ratio of the distance between the second control point and the first control point to the reduced chamfer radius R (dimensionless);

[0065] The second value represents the ratio of the distance between the third control point and the fourth control point to the reduced chamfer radius R (dimensionless);

[0066] When the number of control points of the Bezier curve is 5 or more, the pleng parameter includes three values:

[0067] The first two values ​​are similar to the case of four control points, indicating the ratio of the distance between the second control point and the first control point to R, and the ratio of the distance between the third control point and the fourth control point to R;

[0068] The third value represents the ratio of the distance that the intermediate free control point changes in the translational or vertical direction to the reduced chamfer radius R (dimensionless).

[0069] The motion command of the free control point in the translational or vertical direction is controlled by the parameter pflag.

[0070] Embodiment 3: This embodiment further limits the topological design method for the tenon joint structure of the air-cooled turbine blade described in Embodiment 2. The tenon joint structure topological design method further includes parameterized generation of the tenon:

[0071] Determine the tenon contact center line according to the tenon circumferential angle φ;

[0072] According to the distance of the tenon tooth contact center point along the center line direction, the contact center point position of each tenon tooth is determined;

[0073] The geometry of each tenon is determined according to the semi-contact length, direction angle, inner and outer fillets of each tenon joint structure;

[0074] Based on the number of blades and root width data, determine the overall size of the tenon, the number and size of the blades.

[0075] In this embodiment, the tenon is generated by parametric standards, making the design process more flexible and efficient. According to the set parametric standards, the geometric structure of the tenon is automatically generated, reducing the time and workload of manual design. According to the parameters of the semi-contact length, direction angle, inner and outer fillets of the tenon structure, the geometric shape of the tenon can be accurately controlled to meet the design requirements.

[0076] Specifically, first determine the contact center line of the tenon according to the given tenon circumferential angle φ. This step can be done by considering the tenon as an equally divided point on a circle, and then determining the position of the tenon according to the angle between each equally divided point. Determine the position of the contact center point of each tenon according to the distance of the tenon contact center point along the center line direction. This distance can be adjusted according to actual needs and design parameters to ensure that the position of the tenon meets the design requirements. Determine the geometric shape of the tenon: Determine the geometric shape of each tenon, including its length, angle and fillet size, according to the parameters such as the semi-contact length, direction angle, inner and outer fillets of the tenon structure. Among them, the inner and outer fillets can be arcs or curves. Determine the remaining dimensions of the tenon structure based on data such as the number of blades and the root width. This involves design parameters such as the overall size of the tenon, the number and size of the blades. Ensure the matching and adaptability of the tenon and the blade.

[0077] This embodiment improves the efficiency and accuracy of the design process and reduces the design cycle through parametric design and automated generation. According to the parametric standard of the tenon structure, the geometric shape of the tenon is precisely controlled so that it can better adapt to the shape and requirements of the blade, thereby optimizing the performance and stability of the overall structure. Through optimized design and automated generation, the design and manufacturing costs are reduced.

[0078] Implementation method 4: See Figure 3 This embodiment further defines the topological design method for the tenon joint structure of air-cooled turbine blades described in Embodiment 2, and the step S1 includes:

[0079] Generate an arc using a Bezier curve:

[0080]

[0081] Among them, pi is the control point position vector, w i is the weight of the i-th control point. The shape of the curve is determined by p i With w i Joint control, B i,n (t) is the Bernstein basis function;

[0082] When the curve is composed of 3-point 2nd-order Bezier curves, the Bezier curve is used to generate the chamfer, where the radius r of the chamfer is:

[0083] r=R×Cos(tht)

[0084] Among them, tht is the angle subtended by the radius of the arc.

[0085] The Bernstein basis functions are:

[0086]

[0087] In this embodiment, three control points are used to define a second-order Bezier curve. The shape and trajectory of the curve are determined by the positions and weights of these control points. i ) and weight (w i ) together determine the shape of the Bezier curve. By adjusting these parameters, fine control of the chamfer structure can be achieved. The shape of the Bezier curve is determined by the Bernstein basis function (B i,n (t)) are determined, and these functions are used to calculate the position of each point on the curve. The three-point second-order Bezier curve method can quickly generate a smooth and accurate chamfer structure, thereby improving design efficiency and accuracy. The generated chamfer structure has a smooth and continuous edge, which can improve the overall quality of the blade surface. The fine control and adjustability of the chamfer structure enable it to meet complex process requirements and improve the feasibility and efficiency of production and manufacturing.

[0088] Embodiment 5: This embodiment further limits the topological design method of the tenon joint structure of the air-cooled turbine blade described in Embodiment 1, and the step S2 includes:

[0089] Determine a fillet starting point and an end point on the edge of the fillet, wherein the starting point is a first control point and the end point is a fourth control point;

[0090] Select two control points between the start point and the end point;

[0091] The size and shape of the fillet are determined according to the ratio of the distance between the second control point and the first control point to the reduced chamfer radius R, and the ratio of the distance between the third control point and the fourth control point to the radius R;

[0092] Input the four control points into the third-order Bezier curve formula to generate the rounded corner curve of the top area.

[0093] By determining the starting point, the end point and the two intermediate control points, this embodiment can accurately control the size and shape of the fillet to ensure that the fillet meets the design requirements. The generated fillet curve has a smooth edge and no obvious connection gap, which improves the overall quality of the blade surface. The position and distance ratio of the control points can be adjusted according to actual needs to achieve flexible control of the fillet curve shape and adapt to different design scenarios.

[0094] Specifically, in this embodiment, four control points are used to define a third-order Bezier curve, and the positions and distance ratios of these control points determine the shape and trajectory of the curve. The starting point and the end point determine the edge of the fillet, and the two middle control points determine the size and shape of the fillet according to the ratio of the distance from the starting point and the end point to the given radius. By inputting the four control points into the formula of the third-order Bezier curve, the fillet curve of the top area can be generated.

[0095] Implementation Method 6: See Figure 4 and Figure 5 This embodiment further defines the topological design method for the tenon joint structure of the air-cooled turbine blades described in the first embodiment, and the step S5 includes:

[0096] According to the parametric geometry of the mortise and tenon structure, the mesh is divided into a number of quadrilaterals;

[0097] Using algebraic methods, the quadrilateral mesh is modeled as a simplified Laplace equation;

[0098] Solving the Laplace equation to obtain a coarse grid;

[0099] The coarse mesh is optimized using a mesh encryption algorithm to obtain the final two-dimensional structured mesh of the mortise and tenon structure.

[0100] This embodiment divides the grid into several quadrilaterals according to the parametric geometry of the mortise and tenon structure. This can be achieved by converting the geometric shapes of the tenon and the mortise hole into a quadrilateral grid to ensure that there is a suitable connection relationship between adjacent quadrilaterals. Using algebraic methods, the quadrilateral grid is modeled as a simplified Laplace equation. By solving this equation, a rough grid layout can be obtained. The Laplace equation can describe the local connection relationship between points in the grid, so it can be used to adjust the shape and layout of the grid. The algebraic method, as the name implies, is to obtain a block structured grid by interpolation by giving the four edges of each grid through mathematical operations. The advantage of this method is that the grid division is simple, and the division of the structured grid can be realized very freely and controllably. The coarse grid is optimized to encrypt the grid and obtain the final two-dimensional structured grid. This can be achieved by applying a grid encryption algorithm on the coarse grid, such as subdivision, interpolation and other methods. The optimization process needs to take into account the continuity of the topological structure and geometric shape of the grid to ensure that the final grid meets the design requirements. After such simplification, it becomes very easy to calculate the internal mesh nodes based on the given boundary nodes, and the program has good versatility, avoiding the complex mesh generation control algorithm in the traditional Laplace equation method.

[0101] Preliminary modeling and solving of the mesh by Laplace equations can more accurately capture the geometric features of the mortise and tenon structure, providing a reliable basis for optimized design. The coarse mesh is optimized by mesh refinement algorithm, and the structural details are further refined to ensure the accuracy and effectiveness of the analysis, especially in the case of complex geometries. The combination of simplified Laplace equations and algebraic methods can effectively reduce the amount of calculation and improve the processing speed, especially when conducting large-scale simulations and analyses.

[0102] Embodiment 7: This embodiment further limits the topological design method of the air-cooled turbine blade tenon joint structure described in Embodiment 6. The Laplace equation includes:

[0103]

[0104] Among them, p i0 is the coordinate value vector of the grid node; a is the number of grid nodes adjacent to the grid node; p ij is the coordinate value vector of the grid nodes adjacent to this grid node.

[0105] Embodiment 8: This embodiment further limits the topological design method of the air-cooled turbine blade tenon joint structure described in Embodiment 7, wherein a=4.

[0106] In this embodiment, setting a to 4 can simplify the calculation, because each node only needs to consider the influence of its four adjacent nodes, reducing the complexity and amount of calculation. Since each node is only associated with four adjacent nodes, less memory space is required to store node information, which helps to reduce memory usage. By limiting each node to consider only four adjacent nodes, local features can be better controlled, making the design more accurate and controllable.

[0107] Embodiment 9. A computer device described in this embodiment includes a memory and a processor, wherein a computer program is stored in the memory. When the processor runs the computer program stored in the memory, the processor executes the topology design method for the mortise and tenon structure of an air-cooled turbine blade described in any one of embodiments 1 to 8.

[0108] Embodiment 10. A computer-readable storage medium described in this embodiment is used to store a computer program, and the computer program executes the method for topological design of the mortise and tenon structure in the cooling duct of an air-cooled turbine blade as described in any one of embodiments 1 to 8.

[0109] Although the preferred embodiments of the present disclosure have been described, those skilled in the art may make additional changes and modifications to these embodiments once they have learned the basic creative concept. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments and all changes and modifications falling within the scope of the present disclosure.

[0110] Obviously, those skilled in the art can make various changes and modifications to the present disclosure without departing from the spirit and scope of the present disclosure. Thus, if these modifications and variations of the present disclosure fall within the scope of the claims of the present disclosure and their equivalents, the present disclosure is also intended to include these modifications and variations.

[0111] Those skilled in the art will appreciate that the embodiments of the present disclosure may be provided as methods, systems or computer program products. Therefore, the present disclosure may take the form of a complete hardware embodiment, a complete software embodiment or an embodiment combining software and hardware. Moreover, the present disclosure may take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.

[0112] The present disclosure is described with reference to flowcharts and / or block diagrams of methods, devices (systems) and computer program products according to embodiments of the present disclosure. It should be understood that each process and / or block in the flowchart and / or block diagram and the combination of processes and / or blocks in the flowchart and / or block diagram can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor or other programmable data processing device to produce a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowchart and / or block diagram. Figure 1 A process or multiple processes and / or boxes Figure 1 These computer program instructions can also be stored in a computer-readable memory that can guide a computer or other programmable data processing device to work in a specific way, so that the instructions stored in the computer-readable memory produce a product including an instruction device, which implements the functions specified in the process. Figure 1 A process or multiple processes and / or boxes Figure 1 A function specified in one or more boxes.

[0113] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operating steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing instructions for implementing the process. Figure 1 A process or multiple processes and / or boxes Figure 1 The steps for the functions specified in one or more boxes.

[0114] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present disclosure rather than to limit its protection scope. Although the present disclosure has been described in detail with reference to the above embodiments, ordinary technicians in the relevant field should understand that after reading the present disclosure, those skilled in the art can still make various changes, modifications or equivalent substitutions to the specific implementation methods of the invention, but these changes, modifications or equivalent substitutions are all within the protection scope of the disclosed claims to be approved.

Claims

1. A topological design method for a mortise joint structure of an air-cooled turbine blade, characterized in that: The method comprises: S1: Obtain the chamfer structure according to the input parameters and the three-point second-order Bezier curve method; S2: A four-point third-order Bezier curve method is used to generate the rounded corners of the top area; S3: Determine the three-dimensional tenon structure according to the chamfer structure, the fillet of the top area, the cutting angle and the tenon length; S4: Generate the parametric geometry of the mortise and tenon structure according to the parametric standard of the mortise and tenon structure and the three-dimensional mortise and tenon structure; S5: Process the parameterized geometry of the mortise and tenon structure according to the Laplace and algebraic methods to obtain the two-dimensional structured mesh of the mortise and tenon structure; S6: The two-dimensional mesh is stretched according to the cutting angle to obtain the structured mesh of the three-dimensional mortise and tenon structure.

2. The method for topological design of the air-cooled turbine blade mortise and tenon joint structure according to claim 1, characterized in that: The parameters in step S1 include the reduced chamfer radius R, the number of Bezier curve control points Nbesir, the key data of the control points pleng, and the redundant point translation instruction pflag.

3. The method for topological design of the air-cooled turbine blade mortise and tenon joint structure according to claim 2, characterized in that: The tenon joint structure topology design method further includes parameterized generation of the tenon: Determine the tenon contact center line according to the tenon circumferential angle φ; According to the distance of the tenon tooth contact center point along the center line direction, the contact center point position of each tenon tooth is determined; The geometry of each tenon is determined according to the semi-contact length, direction angle, inner and outer fillets of each tenon joint structure; Based on the number of blades and root width data, determine the overall size of the tenon, the number and size of the blades.

4. The method for topological design of the air-cooled turbine blade mortise and tenon joint structure according to claim 2, characterized in that: The step S1 comprises: Generate an arc using a Bezier curve: Among them, p i is the control point position vector, w i is the weight of the i-th control point, and the shape of the curve is determined by p i With w i Joint control, B i,n (t) is the Bernstein basis function; When the curve is composed of 3-point 2nd-order Bezier curves, the Bezier curve is used to generate the chamfer, where the radius r of the chamfer is: r=R×Cos(tht) Among them, tht is the angle subtended by the radius of the arc.

5. The method for topological design of the air-cooled turbine blade mortise and tenon joint structure according to claim 1, characterized in that: The step S2 comprises: Determine a fillet starting point and an end point on the edge of the fillet, wherein the starting point is a first control point and the end point is a fourth control point; Select two control points between the start point and the end point; The size and shape of the fillet are determined according to the ratio of the distance between the second control point and the first control point to the reduced chamfer radius R, and the ratio of the distance between the third control point and the fourth control point to the radius R; Input the four control points into the third-order Bezier curve formula to generate the rounded corner curve of the top area.

6. The method for topological design of the air-cooled turbine blade mortise and tenon joint structure according to claim 1, characterized in that: The step S5 comprises: According to the parametric geometry of the mortise and tenon structure, the mesh is divided into a number of quadrilaterals; Using algebraic methods, the quadrilateral mesh is modeled as a simplified Laplace equation; Solving the Laplace equation to obtain a coarse grid; The coarse mesh is optimized using a mesh encryption algorithm to obtain the final two-dimensional structured mesh of the mortise and tenon structure.

7. The method for topological design of the air-cooled turbine blade mortise and tenon joint structure according to claim 6, characterized in that: The Laplace equation includes: Among them, p i0 is the coordinate value vector of the grid node; a is the number of grid nodes adjacent to the grid node; p ij is the coordinate value vector of the grid nodes adjacent to this grid node.

8. The method for topological design of the air-cooled turbine blade tenon joint structure according to claim 7, characterized in that: Said a=4.

9. A computer device, characterized in that: It includes a memory and a processor, wherein a computer program is stored in the memory, and when the processor runs the computer program stored in the memory, the processor executes the topology design method for the mortise and tenon structure of an air-cooled turbine blade according to any one of claims 1-8.

10. A computer-readable storage medium, characterized in that: The computer-readable storage medium is used to store a computer program, and the computer program executes the method for topological design of the mortise and tenon joint structure of an air-cooled turbine blade as described in any one of claims 1-8.

Citation Information

Patent Citations

  • Two-dimensional blade profile modeling method, blade optimization method and two-dimensional blade profile

    CN113886979A

  • Method for modeling a non-streamlined propeller blade

    US20160162629A1