A three-dimensional modeling method of a twisted blade sawtooth structure and a related device
By adopting a mid-surface-based 3D modeling method, the problem of efficient and accurate construction of serrated structures on complex blade surfaces was solved, realizing efficient and accurate serrated structure generation, which is suitable for aerodynamic noise suppression and flow control in turbomachinery.
Patent Information
- Application Number
- CN202610448395.4
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2026-04-07
- Publication Date
- 2026-07-21
AI Technical Summary
Existing technologies in 3D digital design environments struggle to efficiently and accurately construct geometrically consistent sawtooth structures that perfectly fit the curved surfaces of blades with complex spatial distortions. This results in low modeling efficiency, loss of directional control, and poor consistency, failing to meet the rapid design and iteration requirements of modern turbomachinery for high-performance sawtooth blades.
A three-dimensional modeling method based on the mid-surface of a twisted blade sawtooth structure is adopted. By obtaining the mid-surface of the blade, drawing a two-dimensional contour curve, and performing geometric expansion and Boolean intersection operations along the mid-surface normal direction, a three-dimensional sawtooth boundary that fits the blade surface is generated. The path on the mid-surface is used as a guide for arraying to ensure the smoothness and continuity of the sawtooth direction and the fitting accuracy.
It achieves a perfect fit between the sawtooth structure and the blade surface with zero gaps and zero interference, which improves modeling efficiency, reduces reliance on human experience, and ensures the repeatability and accuracy of model results. It is suitable for aerodynamic noise simulation, structural strength verification, and precision CNC machining.
Smart Images
Figure CN122435202A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of three-dimensional modeling technology, specifically to a three-dimensional modeling method and related equipment for a twisted blade serrated structure. Background Technology
[0002] In the field of turbomachinery such as wind turbines, aero engines, and compressors, the use of serrated structures on the leading or trailing edges of twisted blades has been widely proven to be an effective means of suppressing aerodynamic noise and controlling flow. These serrations can disrupt the coherence of vortex shedding and break up large-scale vortex structures, thereby achieving noise reduction and performance optimization without significantly sacrificing aerodynamic efficiency.
[0003] However, in a three-dimensional digital design environment, how to efficiently and accurately construct a geometrically consistent, perfectly conforming to, and directionally coordinated sawtooth structure on a blade surface with a complex spatial twisting shape remains a technical challenge that urgently needs to be solved in this field.
[0004] Currently, the industry mainly relies on the conventional functions of general-purpose 3D modeling software (such as CATIA, NX, SolidWorks, etc.) for modeling jagged structures. The mainstream methods include the following two categories, but both have obvious limitations: 1. Direct Surface Sculpting Method: Engineers manually "carve" serrated grooves or protrusions one by one onto the completed 3D surface model of the blade using basic tools such as "segmentation surface," "projection curve," and "extrude cut." This method relies entirely on manual operation, resulting in extremely low modeling efficiency (especially when the number of serrations reaches tens to hundreds), and making it difficult to guarantee the consistency of each serration in shape, depth, spacing, and local direction. Small human deviations accumulate and are amplified in batch arrays, leading to large fluctuations in model quality and unreliable results in subsequent CFD simulations or CAM processing, severely restricting the standardized application of serrated structures in engineering practice.
[0005] 2. Parametric Array Method: To improve efficiency, some designers have attempted a parametric strategy of "seed serrations + path array": first, a reference serration unit is constructed, and then arrayed and replicated along the spatial curve of the leading or trailing edge of the blade. However, this method encounters a fundamental obstacle on highly distorted blade surfaces—the problem of uncontrolled direction vectors. Specifically, during arraying, each serration unit (i.e., the seed) needs to dynamically adjust its orientation according to its location (usually using the local surface normal or tangential as a reference). However, in complex blade edge regions with strong distortion and high curvature changes, the local reference used to define the serration direction (such as the surface normal) often exhibits drastic jumps or singularities, leading to abrupt changes in orientation, spatial flipping, mutual interference, and even geometric self-intersections in the arrayed serrations. Existing general array algorithms lack continuous constraints and smooth transition control over the local attitude of the serrations, often resulting in invalid or unmanufacturable geometry, forcing engineers to revert to manual correction and losing the advantages of parametric methods.
[0006] In summary, existing technologies are insufficient in terms of modeling efficiency, geometric accuracy, and directional consistency to meet the demands of modern turbomachinery for rapid design and iteration of high-performance serrated blades. Summary of the Invention
[0007] This invention provides a three-dimensional modeling method for the serrated structure of twisted blades based on the mid-surface method, in order to solve the technical problems of low efficiency, uncontrolled orientation, and poor consistency in existing modeling of twisted blade serrations.
[0008] To solve the above problems, the present invention adopts the following technical solution: In a first aspect, the present invention provides a three-dimensional modeling method for a twisted blade serrated structure, comprising: Obtain the mid-surface of the 3D solid model of the twisted blade; Draw a two-dimensional profile curve of a single-cycle sawtooth on the mid-surface; The two-dimensional contour curve is geometrically extended along the normal direction of the mid-surface, and a three-dimensional sawtooth boundary that fits the blade surface is generated by performing a geometric intersection operation with the blade entity. A single sawtooth structure is generated based on the three-dimensional sawtooth boundary; Guided by the path on the mid-surface, the individual sawtooth structures are arrayed to complete the modeling of the entire sawtooth structure.
[0009] This invention uses the inherent mid-surface of the blade as a unified reference and performs geometric expansion and Boolean intersection operations along its normal direction. This allows the generated 3D serration boundary to seamlessly fit with the complex blade surface mathematically, effectively overcoming the technical defects of traditional projection or engraving methods, such as serration shape distortion, gaps at the root, or interference caused by improper reference. By using the path on the mid-surface as a guide for arraying and utilizing the continuously changing normal field of the mid-surface itself to adaptively adjust the spatial orientation of each serration instance, this ensures that the orientation of all serrations in space smoothly and continuously follows the twisting of the blade, fundamentally avoiding abrupt changes, flipping, and mutual interference of serration orientation during the arraying process.
[0010] This invention transforms design intent (such as the number of serrations, contour, and amplitude) into driving parameters, enabling the entire process from contour definition to the final array to be completed automatically by a computer system. This not only improves modeling efficiency from hours of manual operation to minutes, but also makes design iteration and scheme optimization fast and reliable, significantly reducing reliance on operator experience.
[0011] The resulting 3D model of the serrated twisted blade features geometric continuity and precise boundaries. It can be directly used for high-fidelity aerodynamic noise simulation, structural strength verification, and precision CNC machining programming without additional geometric repair, ensuring data consistency and smooth workflow from design to manufacturing.
[0012] As a preferred embodiment of the present invention, the mid-surface is the geometric center surface of the blade entity in the thickness direction.
[0013] Compared to the potentially drastic curvature changes on the outer surface of the blade, the geometry of the mid-surface is smoother and more gradual, with a continuous and abrupt normal field. Using this as a reference for profile expansion and array direction provides an inherent guarantee for the smooth transition of the serration spatial attitude, completely avoiding array flipping and interference caused by discontinuities in the reference vector field. This definition makes the generation of the serration structure naturally based on the blade's inherent symmetrical skeleton. The profile expands along the mid-surface normal, ensuring that the generated serrations are centrally distributed along the blade's thickness direction. This not only meets the mechanical symmetry requirements of the structure but also ensures that the aerodynamic function of the serrations is highly consistent with the design intent. Moreover, for real blades with non-uniform thickness variations, the mid-surface can automatically adapt to its local geometry. This allows the positioning and depth of the serrations to dynamically respond to the actual thickness of the blade, thus maintaining a consistent relative depth in different regions of the blade and avoiding serration depth distortion caused by using a fixed reference.
[0014] As a preferred embodiment of the present invention, the "geometric extension" is a stretching operation along the direction of the mid-surface normal vector to form a stretched surface; the "geometric intersection operation" is to obtain the intersection line between the stretched surface and the blade entity.
[0015] Through the final Boolean intersection operation, the 3D boundary of the serrations is jointly determined by the stretched surface and the original blade entity, ensuring that the generated serration boundary line naturally and accurately fits the complex real surface of the blade. This fundamentally eliminates the geometric gaps or interference caused by algorithmic approximations in traditional projection or offset methods. This scheme decomposes the contour drawing and feature generation, which are difficult to perform directly on complex surfaces, into three highly mature and computationally stable geometric operation steps: "constructing a 2D contour on the mid-surface," "stretching along the normal," and "Boolean intersection." This significantly improves the success rate and robustness of the modeling process and effectively avoids topological errors that may occur in direct modeling. This process unifies the generation logic of convex and concave serrations, which can be achieved simply by adjusting the Boolean operation type (union or difference). At the same time, the generated intersection line is a precise geometric boundary, which can be directly used as an ideal input for high-quality CFD mesh generation and CNC toolpath generation, ensuring lossless data transfer from design to simulation and manufacturing.
[0016] As a preferred embodiment of the present invention, the generation of a single serrated structure is accomplished by trimming the blade entity with the intersection line as the boundary, or by generating a new entity by filling a curved surface with the intersection line as the boundary.
[0017] As a preferred embodiment of the present invention, before drawing the two-dimensional contour curve, the method further includes: measuring the curve length of the part on the mid-surface where the sawtooth needs to be constructed, so as to determine the longitudinal amplitude and transverse period of a single sawtooth.
[0018] By dynamically determining the lateral period and number of serrations based on the measured mid-surface path length, this approach fundamentally avoids layout failures such as serration truncation, abrupt spacing changes, or quantity mismatches that can occur at the path end when using fixed period values for arraying on complex blade surfaces. This ensures that the serrations are uniformly and completely distributed throughout the target area. Key parameters such as the amplitude and period of the serrations can be adaptively calculated and optimized based on the actual dimensions of the blade, ensuring that the generated structure maintains a precise dimensional relationship and relative position with the blade's aerodynamic profile, thus more reliably achieving the expected aerodynamic and noise reduction design goals. Simultaneously, by correlating the serration parameters with the mid-surface geometry, a "measurement-calculation-generation" driving chain is established. When the blade substrate design changes (such as scaling or deformation), the serration layout can automatically update without manual parameter readjustment, improving the automation level of the design process and the model's reusability in the development of serialized products.
[0019] As a preferred embodiment of the present invention, the array is a linear array or a parameterized drive array along a curve related to the blade edge on the mid-surface.
[0020] By anchoring the array path to the leading or trailing edge curve of the blade on the mid-surface, it is ensured that each generated serrated structure is precisely located in the critical aerodynamic region intended for design, fundamentally avoiding serrated function failure due to path deviation, thereby maximizing its flow control and noise reduction performance. Thanks to the smooth and continuous geometry of the mid-surface itself, its edge-related curves also possess gentle curvature changes. Using this as the array path, combined with directional control via the mid-surface normal, provides a stable and continuously changing reference direction for all serrated instances, effectively preventing abrupt directional changes and geometric interference.
[0021] As a preferred technical solution of the present invention, during the arraying process, the spatial orientation of each array instance is automatically adjusted according to the mid-surface normal at each point on the path. By dynamically associating the mid-surface normal, the system assigns a precise and continuously changing spatial orientation to each sawtooth instance, enabling it to strictly follow the local geometric features of the blade surface. This fundamentally solves the problem of sawtooth self-intersection, interference, or misalignment caused by abrupt changes in direction vectors in strongly distorted regions, ensuring the geometric quality and topological correctness of the generated model. This solution transforms the complex three-dimensional spatial orientation adjustment into an automated calculation process based on a stable geometric datum (mid-surface). Users do not need to manually intervene or align each sawtooth individually; the system can automatically generate a sawtooth array with consistent orientation, reducing operational complexity and reliance on human experience, and improving modeling efficiency and the repeatability of results.
[0022] As a preferred embodiment of the present invention, the method is executed in a three-dimensional computer-aided design software environment.
[0023] In a second aspect, the present invention provides an electronic device including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the steps of any of the methods in the first aspect described above.
[0024] Thirdly, the present invention provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of the method described in any one of the first aspects above.
[0025] Beneficial effects: 1. This invention introduces the inherent mid-surface of the blade as a unified geometric reference and performs geometric expansion and Boolean intersection operations along the mid-surface normal, thus ensuring, in principle, a perfect fit with the generated sawtooth structure and the complex twisted blade surface with zero gaps and zero interference. This method overcomes the technical defects of traditional methods, such as distorted sawtooth shape, gaps at the root, or interference caused by inconsistent references or improper projection directions.
[0026] 2. By guiding the array with a path on the mid-surface and dynamically adjusting the spatial orientation of each sawtooth instance according to the mid-surface normal at the path point, it is ensured that the attitude of all sawtooths can smoothly and continuously adapt to the twisting changes of the blade surface, avoiding the abrupt changes, flipping and mutual interference of sawtooth orientation caused by the instability of the orientation vector reference system in existing array methods.
[0027] 3. This invention transforms the manual experience-dependent operational process into an automated algorithm driven by the mid-surface datum, contour parameters, and array quantity. This not only improves modeling efficiency from hours of manual operation to minutes, but also eliminates the uncertainty and random errors of human operation, ensuring high repeatability and accuracy of model results, and enabling rapid design iteration and optimization. Attached Figure Description
[0028] Figure 1 This is a flowchart of a three-dimensional modeling method for a twisted blade serrated structure provided in an embodiment of the present invention; Figure 2 This is a schematic diagram of the mid-surface model of a twisted blade with a serrated structure in one embodiment of the present invention; In the diagram: 1. Mid-surface; 2. Serrated edge. Detailed Implementation
[0029] To make the objectives, technical solutions, and advantages of this application clearer, the technical solutions of this application will be clearly and completely described below in conjunction with specific embodiments and corresponding drawings. Obviously, the described embodiments are only a part of the embodiments of this application, and not all of them. Based on the embodiments in this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.
[0030] In traditional modeling of serrated blade structures, the widely used parametric array method relies on the "surface normal" (a local vector used for surface lighting and analysis) describing the blade's surface orientation to define the growth direction of internal features. However, this method has a fundamental limitation—the drastic changes and discontinuities of the surface normal are amplified in complex twisted morphologies, leading to abrupt changes and interference in the direction of the generated serrations, a phenomenon known as "direction vector runaway." This phenomenon indicates that attempting to use a local vector, essentially used for surface lighting and analysis, to guide the construction of internal features is a categorical error. All existing attempts to address this problem are merely patchwork solutions without correcting this fundamental fallacy, and therefore cannot fundamentally solve the problem.
[0031] Based on key technological insights, this invention proposes a novel benchmark—the "mid-surface" of the blade—as a stable intrinsic benchmark for constructing solid features. The mid-surface is not an externally defined reference surface, but rather the geometrically central layer of the blade entity in the thickness direction, serving as the "skeleton" describing the internal structure of the solid. This insight has prompted a fundamental shift in the technological paradigm: 1. Change of datum: from a free and unstable surface normal datum to a fixed and consistent mid-surface datum.
[0032] 2. Shift in logic: from the logic of constructing internal features based on surface orientation to the correct logic of growing auxiliary structures based on the entity skeleton.
[0033] By drawing a two-dimensional contour curve of a single-cycle sawtooth on the mid-surface, the spatial relationship between it and the solid skeleton is ensured to be clear and stable. This not only solves the positional deviation problem in traditional methods, but also allows each sawtooth to be precisely aligned with the design requirements.
[0034] The 2D contour is geometrically extended along the mid-surface normal to ensure feature symmetry and perpendicularity. The mid-surface normal, as a direction perpendicular to the solid skeleton, ensures that the generated 3D serrated boundary perfectly fits the blade surface, avoiding errors caused by discontinuities in the surface normal.
[0035] The arraying process is guided by a path on the mid-surface and automatically adjusts the spatial orientation of each sawtooth instance based on the mid-surface normal at each point along the path. Because the smooth geometry of the mid-surface makes its normal field naturally continuous, it achieves consistency in the sawtooth direction, thus completely solving the orientation control problem in traditional methods.
[0036] This invention provides a complete and self-consistent technical solution based on novel geometric principles, fundamentally avoiding the pitfalls of existing technologies and achieving high-precision, high-consistency modeling of the serrated structure of twisted blades. It is not merely a simple application or optimization of conventional knowledge, but rather, by introducing the core concept of "mid-surface," it opens up a new technical path, unexpectedly solving a long-standing technical problem that has plagued the industry.
[0037] The specific implementation of this technical solution will be described in detail below with reference to the accompanying drawings.
[0038] like Figure 1 The method for three-dimensional modeling of a twisted blade serrated structure, shown below, is executed in a three-dimensional computer-aided design software environment. The method includes the following steps: S101: Obtain the mid-surface of the 3D solid model of the twisted blade.
[0039] First, the three-dimensional solid model of the impeller with completed aerodynamic design was imported into the three-dimensional computer-aided design software environment. The model is a thin-walled structure with significant spatial twisting characteristics, exhibiting nonlinear torsion along the spanwise direction from its leading edge to its trailing edge.
[0040] Then, the remaining parts in the impeller are removed, and the individual blade parts are extracted.
[0041] Next, for a single blade component, the computer system reads the 3D solid model data of the twisted blade and processes it using a geometric algorithm to generate the blade's mid-surface model. This mid-surface 1 is the geometric center surface in the blade's thickness direction, serving as a unified and stable geometric reference for all subsequent operations. Mid-surface 1 is a smooth, continuous, and non-self-intersecting parametric surface that fully reflects the internal skeletal morphology of the blade. Preferably, the geometric processing algorithm is an equidistant offset surface merging algorithm, which includes: identifying the two main surfaces of the blade entity (i.e., the pressure surface and the suction surface). Then, these two surfaces are equidistantly offset inwards, with the offset distance being half the thickness value of the blade entity in that local region. Finally, the average or surface merging operation is performed on the two offset surfaces to generate the final smooth mid-surface model. This algorithm is suitable for blades with variable thickness.
[0042] Alternatively, for blades with a constant thickness, the mid-surface model can be obtained directly through the software's mid-surface extraction function. This algorithm is typically based on mesh or geometric inference techniques, automatically identifying the solid's center of symmetry and generating the mid-surface surface.
[0043] S102: Draw a two-dimensional profile curve of a single-cycle sawtooth on the mid-surface.
[0044] On the mid-surface model, the trailing edge region where sawtooth 2 needs to be constructed is selected, and the actual arc length L of the trailing edge curve of this mid-surface segment is measured. The system receives or calculates the total number of target sawtooths N according to aerodynamic design requirements. Then, the system automatically calculates the lateral period P (i.e., the center distance between adjacent sawtooths) of a single sawtooth 2 according to the formula P=L / N.
[0045] At the same time, based on the noise suppression target, the longitudinal amplitude (i.e., the sawtooth height) A of the sawtooth is set.
[0046] In the mid-surface local coordinate system, a single-period two-dimensional closed profile curve is plotted using the transverse period (P) and amplitude (A) of sawtooth 2 as parameters. This profile lies entirely within the mid-surface parameter domain and represents the projected shape of a single sawtooth 2 onto the skeleton.
[0047] In this embodiment, the two-dimensional closed contour curve is a standard sine wave.
[0048] The sawtooth period P is defined as the length of a complete sine wave along the X-axis of the local coordinate system.
[0049] The maximum offset of a sine wave in the Y-axis direction of the local coordinate system is the amplitude A.
[0050] The two-dimensional closed contour curve is bounded by the top sine curve y_top(x) = A * sin( (2π / P) * x ) (where x ∈ [0, P]) and the bottom baseline y=0.
[0051] In another embodiment, the aforementioned contour curve is an isosceles triangle.
[0052] S103: Geometrically extend the two-dimensional contour curve along the normal direction of the mid-surface, and generate a three-dimensional sawtooth boundary that fits the blade surface by performing a geometric intersection operation with the blade entity.
[0053] The two-dimensional profile curve is stretched along the local normal direction at each point of the mid-surface 1 to generate a stretched surface that runs through the blade.
[0054] Next, a Boolean intersection operation is performed to calculate the intersection line between the stretched surface and the original three-dimensional blade solid. The resulting intersection line is the three-dimensional serrated boundary that perfectly fits the actual outer surface of the blade, and its shape automatically adapts to the local thickness and twisting shape of the blade.
[0055] S104: Generate a single sawtooth structure based on the three-dimensional sawtooth boundary.
[0056] Based on process requirements, select any of the following methods to generate the sawtooth 2 entity: Method 1 (recessed serrations): Using the intersection line as the boundary, perform a "trimming" operation on the original blade entity to remove the material in the serration 2 area, forming a trailing edge slotted serration 2 structure.
[0057] Method 2 (Protruding Serrations): Using the intersection line as the boundary, use the "Fill Surface" tool to generate a smooth transition surface, stitch it into a closed solid, and then attach it to the trailing edge of the blade through the "Merge" operation.
[0058] S105: Using the path on the mid-surface as a guide, array the individual sawtooth structures to complete the modeling of the entire sawtooth structure.
[0059] On the mid-surface 1, the trailing edge curve of the blade is used as the array path; the parameterized drive array function is activated to guide the array of the sawtooth 2 structure with the path, and the target number of sawtooths (N) is input as the drive parameter.
[0060] During the arraying process, the system automatically reads the mid-plane normal vector at each array point on the path and adjusts the spatial orientation of each sawtooth 2 instance accordingly to ensure that all sawtooth 2 maintains a smooth directional transition, without flipping or interference, even in areas of strong distortion.
[0061] After the array is completed, the system automatically performs a Boolean merge operation on all the serrated entities generated by the array and the original blade entity, ultimately generating a complete, single 3D solid model of the serrated twisted blade (see [link]). Figure 2 The model is geometrically continuous and has precise boundaries, making it directly applicable to subsequent CFD aerodynamic noise simulation, structural strength verification, or five-axis CNC machining programming.
[0062] The core idea of the "mid-surface method" is universally applicable to modeling similar features of various components with complex spatial curved surfaces (such as aero-engine blades and propellers). Its process is based on the standard geometric functions of mainstream 3D modeling software, without relying on specific plugins or algorithm libraries, ensuring the ease of implementation and strong scalability of this technical solution in different engineering scenarios.
[0063] The present invention also provides an electronic device including at least one processor and a memory (such as non-volatile memory) storing a computer program, which, when executed by the processor, causes the electronic device to perform all the steps of the above-described method embodiments.
[0064] The present invention also provides a computer-readable storage medium (such as an SSD, HDD, etc.) storing a computer program thereon, which, when executed by a processor, implements all the steps of the above-described method embodiments.
Claims
1. A three-dimensional modeling method for a twisted blade serrated structure, characterized in that, include: Obtain the mid-surface of the 3D solid model of the twisted blade; Draw a two-dimensional profile curve of a single-cycle sawtooth on the mid-surface; The two-dimensional contour curve is geometrically extended along the normal direction of the mid-surface, and a three-dimensional sawtooth boundary that fits the blade surface is generated by performing a geometric intersection operation with the blade entity. A single sawtooth structure is generated based on the three-dimensional sawtooth boundary; Guided by the path on the mid-surface, the individual sawtooth structures are arrayed to complete the modeling of the entire sawtooth structure.
2. The three-dimensional modeling method for a twisted blade serrated structure according to claim 1, characterized in that, The mid-surface is the geometric center surface of the blade entity in the thickness direction.
3. The three-dimensional modeling method for a twisted blade serrated structure according to claim 1, characterized in that, The geometric extension is a stretching operation along the direction of the mid-surface normal to form a stretched surface; the geometric intersection operation is to find the intersection line between the stretched surface and the blade entity.
4. The three-dimensional modeling method for a twisted blade serrated structure according to claim 3, characterized in that, The generation of a single serrated structure is accomplished by trimming the blade entity with the intersection line as the boundary, or by generating a new entity by filling a surface with the intersection line as the boundary.
5. The three-dimensional modeling method for a twisted blade serrated structure according to claim 1, characterized in that, Before drawing the two-dimensional contour curve, the method further includes: measuring the actual arc length of the curve at the part of the mid-surface where the sawtooth needs to be constructed, in order to determine the longitudinal amplitude and transverse period of a single sawtooth.
6. The three-dimensional modeling method for a twisted blade serrated structure according to claim 1, characterized in that, The array is a linear array or a parameterized drive array along a curve on the mid-surface that is related to the blade edge.
7. The three-dimensional modeling method for a twisted blade serrated structure according to claim 6, characterized in that, During the arraying process, the spatial orientation of each array instance is automatically adjusted based on the mid-plane normal at each point on the path.
8. The three-dimensional modeling method for a twisted blade serrated structure according to claim 1, characterized in that, The method is executed in a three-dimensional computer-aided design software environment.
9. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the program, it implements the steps of the three-dimensional modeling method as described in any one of claims 1-8.
10. A computer-readable storage medium having a computer program stored thereon, characterized in that, When executed by a processor, the program implements the steps of the three-dimensional modeling method as described in any one of claims 1-8.