CN115994423A - Cross-tone leaf pattern design method based on Bezier curve and related device - Google Patents
Cross-tone leaf pattern design method based on Bezier curve and related device Download PDFInfo
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Abstract
A cross-tone leaf pattern design method and a related device based on Bezier curves comprise the following steps: obtaining geometric parameters of a cross-sound leaf type; determining the position of a leading edge and a trailing edge according to the chord length of the cross-pitch blade profile; obtaining a camber line and thickness distribution of the cross-tone blade profile front edge according to the position of the cross-tone blade profile front edge; the suction surface and the pressure surface are respectively controlled in a sectional way, the suction surface and the pressure surface are divided into two parts at the position of the maximum thickness, and the maximum thickness m and the relative position of the maximum thickness of the blade profile are controlled by adopting Bezier curves; and determining the tail edge arc according to the chord length of the blade profile and the tangency of the suction surface and the tail edge arc. The invention adopts the camber line thickening distribution of the front edge of the blade, the pressure surface of the suction surface is controlled by Bezier curve, and the arc of the tail edge of the blade is generated.
Description
Technical Field
The invention belongs to the technical field of cross-sound leaf profile manufacturing, and particularly relates to a cross-sound leaf profile design method based on a Bezier curve and a related device.
Background
An axial-flow compressor is a multi-stage compression device with the airflow flowing direction consistent or nearly consistent with the rotating axial line direction of a working wheel, and is formed by alternately arranging a series of stator-rotors, and is commonly used for an aeroengine or a gas turbine. The blades of the axial flow compressor are important parts for realizing the conversion of the airflow function and changing the airflow direction of the airflow channel of the compressor. The blade profile of the blade is a basic unit for forming the blade, and the blade is formed by stacking the blade profiles along stacking lines.
Along with the development of the high-load compressor, the high-load blade profile meeting the requirements needs to be designed, and compared with the common blade profile, the high-load cross-pitch compressor blade profile is different and is usually characterized by large bent angle, high diffusion factor and high inlet Mach number, and has higher design difficulty. The inlet relative Mach number under the partial blade height of the transonic compressor is larger than 1 to reach supersonic. The transonic stage has complex flow phenomena such as shock waves and mutual interference with boundary layers, leakage of movable blade tops and the like, and meanwhile, the shape of the front edge has important influence on the blade profile loss of the blade cascade and the stable operation working condition range of the blade cascade, and the problems bring great difficulty to the development process of the transonic stage. Therefore, the blade profile design method can control the suction surface shock wave and the shape of the front edge to expand the range of the operation working conditions of the blade profile.
The prior art scheme is as follows:
the conventional design method of the existing blade profile is two, one is to directly define the pressure surface and the suction surface of the blade profile by using curves, give out the coordinate and curvature requirements of control points on the pressure surface and the suction surface, and generate molded lines by adopting piecewise circular arcs, polynomials or spline functions; the other is to generate a two-dimensional blade profile by superposing thickness distribution along the normal direction by a camber line, wherein the thickness of the suction surface and the pressure surface are symmetrically distributed, and the front edge is round or elliptical.
Drawbacks and deficiencies of the prior art solutions:
in order to reduce the number of blade profile control points, the shapes of the leading edge and the trailing edge are generally fixed, the requirements of controlling the shape of the leading edge to reduce blade profile loss and enlarging the range of stable operation working conditions of the blade cascade cannot be met, if a curve design method is adopted for the pressure surface and the suction surface of the whole blade, the solution is complex, and meanwhile, the optimal solution may be that the shape of the leading edge and the trailing edge of the blade is complex or the strength is insufficient, and the high-load operation condition cannot be adapted.
In the method 2, the variation of the blade profile is controlled by overlapping the thickness distribution of the camber lines, if the camber line and thickness distribution method is used for improving the attack angle characteristic of the whole blade, the camber line and the thickness distribution curve are generally required to be updated, the adjustment parameters are more, the camber line adjustment can cause the geometric profile of the whole blade body to generate more obvious variation, and the effect of independently controlling the variation of the suction surface cannot be achieved.
Disclosure of Invention
The invention aims to provide a cross-pitch blade profile design method based on a Bezier curve and a related device, so as to solve the problems that the shape of the leading edge and the trailing edge of a blade is complex or the strength is insufficient, the blade cannot adapt to high-load running conditions, and the effect of independently controlling the change of a suction surface cannot be achieved.
In order to achieve the above purpose, the present invention adopts the following technical scheme:
a cross-tone leaf pattern design method based on Bezier curves comprises the following steps:
obtaining geometric parameters of a cross-tone leaf profile: chord length, mounting angle, maximum thickness and maximum thickness relative position;
determining the position of a leading edge and a trailing edge according to the chord length of the cross-pitch blade profile;
obtaining a camber line and thickness distribution of the cross-tone blade profile front edge according to the position of the cross-tone blade profile front edge;
the suction surface and the pressure surface are respectively controlled in a sectional way, the suction surface and the pressure surface are divided into two parts at the position of the maximum thickness, and the maximum thickness m and the relative position of the maximum thickness of the blade profile are controlled by adopting Bezier curves;
and determining the tail edge arc according to the chord length of the blade profile and the tangency of the suction surface and the tail edge arc.
Further, the positions of the leading edge and the trailing edge are determined according to the chord length of the cross-tone blade profile:
the lengths of the leading edge and the trailing edge respectively account for 1% of the chord length, and four connection points S1, P1, S7 and P7 of the pressure surfaces of the leading edge and the trailing edge and the suction surface are determined; the change of the shape of the front edge is controlled by superposing thickness distribution of the camber line, and the shape of the tail edge is replaced by an arc; suction surface: s1-7; pressure surface: p1-7.
Further, a camber line across the leading edge of the acoustic profile is obtained:
the leading edge camber line is replaced by a straight line and is kept unchanged.
Further, the thickness distribution across the leading edge of the acoustic profile: the thickness of the front edge front end blade profile changes severely, encryption is carried out, and the encryption range is between the control points L1 and L2; leading edge: l1-5.
Further, bezier curves are used for controlling the profile leading edge thickness distribution:
the leading edge thickness distribution curve is controlled by adopting a 5-order Bezier curve, and the method is specifically as follows:
the front edge end point L1 and the front edge and suction surface connecting point L5 are fixed;
α 1 with L2x, alpha 2 The heel L4y is used for controlling the thickness change speed of the front end of the front edge and the connection point of the front edge and the suction surface, and can respectively realize the change of four degrees of freedom, wherein alpha is as follows 1 、α 2 The definition of (1) is as shown in formulas 1 and 2:
the L3 control point is used for controlling the thickness distribution change of the middle section of the front edge, and can realize the change of four degrees of freedom, wherein the change range is L2x < L3x < L4x, and L2y < L3y < L4y; subscript: x represents the abscissa of the control point and y represents the ordinate of the control point; the leading edge control points are: l1-5.
Further, controlling the maximum thickness m and the relative position of the maximum thickness of the blade profile:
the blade profile of the pressure surface of the suction surface in front of the maximum thickness of the blade profile is controlled by adopting two sections of 4-order Bezier curves, wherein slope constraints are added to control points S2 and P2, the implementation method is that the slope k1 of the control points S2 and S1 is realized, and the slope k2 of the control points P2 and P1 is consistent with the slope of a leading edge ending point;
the control points S4 and P4 are positioned at the position of the maximum thickness of the blade profile, the control point S4 has four degrees of freedom change, the degree of freedom of the control point P4 in the horizontal direction is consistent with that of the control point S4, and the degree of freedom of the control point P4 in the vertical direction is controlled by the formula (3);
P4 y ＝S4 y -m (6)
control points S3y, S4y and S5y are kept consistent, control points P3y, P4y and P5y are kept consistent, and control points S3, P3, S5 and P5 have two degrees of freedom;
controlling the blade profile of the pressure surface of the suction surface after the maximum thickness of the blade profile by adopting two sections of 4-order Bezier curves, wherein slope constraint is added to control points S6 and P6, the slope k3 of the control points S6 and S7 is minus 0.433, and the slope k4 of the control points P6 and P7 is minus 0.099; suction surface: s1-7; pressure surface: p1-7.
Furthermore, the tail edge is replaced by an arc, and the coordinates of the arc of the tail edge can be obtained according to the tangent of the suction surface and the arc and the constraint of the chord length.
Further, a cross-pitch leaf pattern design system based on Bezier curves includes:
the parameter acquisition module is used for acquiring the geometric parameters of the cross-tone leaf profile: chord length, mounting angle, maximum thickness and maximum thickness relative position;
the position determining module is used for determining the positions of the leading edge and the trailing edge according to the chord length of the cross-pitch blade profile;
the pitch arc and thickness distribution determining module is used for obtaining the pitch arc and thickness distribution of the cross-tone blade profile front edge according to the position of the cross-tone blade profile front edge;
the maximum thickness and position notification module is used for respectively controlling the suction surface and the pressure surface in a sectional manner, dividing the suction surface and the pressure surface into two parts at the position of the maximum thickness, and controlling the maximum thickness m and the relative position of the maximum thickness of the blade profile by adopting a Bezier curve in each section;
and the trailing edge arc determining module is used for determining the trailing edge arc according to the chord length of the blade profile and the tangency of the suction surface and the trailing edge arc.
Further, a computer device includes a memory, a processor, and a computer program stored in the memory and executable on the processor, the processor implementing steps of a Bezier curve-based cross-acoustic leaf pattern design method when the computer program is executed.
Further, a computer readable storage medium stores a computer program which when executed by a processor implements the steps of a cross-pitch leaf pattern design method based on Bezier curves.
Compared with the prior art, the invention has the following technical effects:
the invention adopts the camber line thickening distribution of the front edge of the blade, the pressure surface of the suction surface is controlled by Bezier curve, and the arc of the tail edge of the blade is generated.
Furthermore, a sectional type blade profile design method is provided, different design methods are adopted for different positions so as to adapt to different design requirements, the position of the maximum thickness is divided into two parts, the maximum thickness and the relative position of the maximum thickness of the blade profile are convenient to control, the center line and the thickness distribution are adopted for the front edge to control, the number of control points can be reduced, the influence of the tail edge on the blade profile performance is small, and the tail edge is replaced by an arc.
Further, the Bezier curve is adopted to control the variation of the leaf profile, and the following characteristics of the Bezier curve are adopted:
convex hull nature: the Bezier curve is contained by the smallest convex polygon containing all control points, namely the variation range of the planned blade profile can be limited by the convex hull of the control points, so that the blade profile is prevented from being excessively changed and unreasonable blade profile is generated;
tangential: the Bezier curve starting point is tangent to the first control point, and the ending point is tangent to the last control point, so that the two curves can be tangent to the connecting point with the same slope, namely the smooth connection of the blade, only by ensuring that the four control points at the connecting point (the last two control points of the first section and the first two control points of the second section, wherein the tail end of the first section and the initial control point of the second section are coincident) are collinear.
Based on the two points, the Bezier curve is adopted to control the variation of the leaf profile, so that the generation of unreasonable leaf profile can be reduced.
Furthermore, the shock wave position is positioned at the front section of the blade, so that the effect of reducing the shock wave intensity and the total pressure loss is achieved in order to control the form of the shock wave on the suction surface, the Bezier curve change of the first section of the suction surface can be independently controlled, and other positions are kept unchanged.
Furthermore, the invention can control the shape change of the front edge, thereby widening the working condition range of stable operation of the blade cascade.
Drawings
FIG. 1 is a cross-lobe suction side pressure side control point.
Fig. 2 is a cross-tone vane type leading edge thickness profile extraction.
FIG. 3 is a cross-tone vane leading edge thickness profile control point.
FIG. 4 is a comparison of performance curves of a cross-tone leaf model prototype versus a representative solution.
Fig. 5 is a graph comparing suction side mach number clouds of a cross-tone vane model prototype and representative versions.
Table 1 shows the cross-tone leaf control point coordinates.
Detailed Description
The present invention will be further described in detail with reference to the following examples, which are illustrative of the present invention and not intended to limit the present invention thereto, in order to make the objects, technical solutions and advantages of the present invention more apparent.
The invention adopts the camber line thickening distribution of the front edge of the blade, the pressure surface of the suction surface is controlled by Bezier curve, and the arc of the tail edge of the blade is generated.
Taking the transonic profile as an example, the geometric parameters of the transonic profile are known: chord c= 291.757mm, angle of attachment β s = 52.54 °, maximum thickness m=22.9 mm, maximum thickness relative position xm/c=54.1%.
The lengths of the leading edge and the trailing edge respectively account for 1% of the chord length, and the connection points S1, P1, S7 and P7 (shown in figure 1) of the leading edge and the trailing edge and the pressure surface of the suction surface are determined, and the four points are fixed so as to ensure that the chord length of the blade profile is unchanged.
The shape of the front edge has important influence on the blade profile loss and the range of the operation working conditions of the blade cascade, and the change of the shape of the front edge is controlled by superposing thickness distribution of a camber line; the influence of the trailing edge is relatively small, and the shape of the trailing edge is replaced by an arc and remains unchanged.
Because of the characteristics of the transonic blade profile, the leading edge camber line is approximately a straight line, so that the leading edge camber line is replaced by a straight line and is unchanged, and the direction angle of the leading edge of the blade is kept unchanged.
After the position of the leading edge and the camber line are determined, the thickness distribution of the leading edge of the blade profile can be extracted, as shown in fig. 2. The thickness of the front edge front end blade profile is severely changed, proper encryption is performed, and the thickness distribution extraction can be properly increased or decreased according to the complexity of the front edge blade profile.
The profile leading edge thickness profile may be obtained by using a Bezier curve, in this case a 5 th order Bezier curve (as shown in FIG. 3). The specific implementation is as follows:
the front edge end point L1 and the front edge and suction surface connecting point L5 are fixed and unchanged, so that the thickness of the front edge is ensured not to change, and the intensity of the blade profile is prevented from weakening;
α 1 with L2x, alpha 2 The heel L4y is used for controlling the thickness change speed of the front end of the front edge and the connection point of the front edge and the suction surface, and can respectively realize the change of four degrees of freedom, wherein alpha is as follows 1 、α 2 The definition of (1) is as shown in formulas 1 and 2:
the L3 control point is used for controlling the thickness distribution change in the middle section of the front edge, and can realize the change of four degrees of freedom, wherein the change range is L2x < L3x < L4x, and L2y < L3y < L4y.
The molded line of the pressure surface of the suction surface is controlled by two sections of Bezier curves, and the molded line is divided into two parts at the position of the maximum thickness, so that the maximum thickness m and the relative position of the maximum thickness of the blade profile are conveniently controlled. The specific implementation is as follows:
the blade profile of the pressure surface of the suction surface in front of the maximum thickness of the blade profile is controlled by adopting two sections of 4-order Bezier curves, wherein slope constraints are added to control points S2 and P2 so as to ensure smooth connection of the front edge and the pressure surface of the suction surface, the implementation method is that the slopes k1 of the control points S2 and S1 are kept consistent with the slopes k2 of the control points P2 and P1 and the slopes of the end points of the front edge;
the control points S4 and P4 are positioned at the position of the maximum thickness of the blade profile, the control point S4 has four degrees of freedom change, the degree of freedom of the control point P4 in the horizontal direction is consistent with that of the control point S4, and the degree of freedom of the control point P4 in the vertical direction is controlled by the formula (3);
P4 y ＝S4 y -m (9)
the control points S3y, S4y and S5y are consistent so as to ensure that the connection of the two sections of blade profiles of the suction surface at the maximum position is consistent in curvature. Likewise, the control points P3y, P4y and P5y are kept consistent, so that the connection of the two sections of blade profiles of the pressure surface at the maximum position is ensured to keep consistent curvature, and the control points S3, P3, S5 and P5 have two degrees of freedom;
similarly, two sections of 4-order Bezier curve control are adopted for the suction surface pressure surface blade profile after the maximum thickness of the blade profile, wherein slope constraints are added to the S6 and P6 control points so as to ensure that the direction angle of the tail edge of the blade is unchanged, the slope k3 of the control points S6 and S7 is = -0.433, and the slope k4 of the control points P6 and P7 is = -0.099;
the tail edge is replaced by an arc, and the coordinates of the arc of the tail edge can be obtained according to the constraint of the tangent of the suction surface and the arc and the chord length.
The specific coordinates are shown in table 1.
TABLE 1
In order to verify the feasibility of the cross-tone leaf type design method, CFD simulation verification is performed, the original model and the representative scheme adopt the same grid and calculation setting, and the verification result is as follows:
as shown in fig. 4, the inlet airflow angle range corresponding to 2 times of the lowest loss point of the original model is taken as the stable operation working condition range of the blade grid, and compared with the original model, the representative scheme adopting the design method can widen the stable operation working condition range by 6.9%;
as shown in fig. 5, the effect of reducing the intensity of the shock wave is achieved by controlling the molded line of the blade of the suction surface, the form of the shock wave in the drawing is changed from the channel normal shock wave of the original model into the channel oblique shock wave of the representative scheme, the wave front Mach number of the shock wave is also reduced, and the intensity of the shock wave is reduced.
In an embodiment of the present invention, a cross-pitch leaf pattern design system based on a Bezier curve is provided, which can be used to implement the above-mentioned cross-pitch leaf pattern design method based on a Bezier curve, and specifically, the system includes:
the parameter acquisition module is used for acquiring the geometric parameters of the cross-tone leaf profile: chord length, mounting angle, maximum thickness and maximum thickness relative position;
the position determining module is used for determining the positions of the leading edge and the trailing edge according to the chord length of the cross-pitch blade profile;
the pitch arc and thickness distribution determining module is used for obtaining the pitch arc and thickness distribution of the cross-tone blade profile front edge according to the position of the cross-tone blade profile front edge;
the maximum thickness and position notification module is used for respectively controlling the suction surface and the pressure surface in a sectional manner, dividing the suction surface and the pressure surface into two parts at the position of the maximum thickness, and controlling the maximum thickness m and the relative position of the maximum thickness of the blade profile by adopting a Bezier curve in each section;
and the trailing edge arc determining module is used for determining the trailing edge arc according to the chord length of the blade profile and the tangency of the suction surface and the trailing edge arc.
The division of the modules in the embodiments of the present invention is schematically only one logic function division, and there may be another division manner in actual implementation, and in addition, each functional module in each embodiment of the present invention may be integrated in one processor, or may exist separately and physically, or two or more modules may be integrated in one module. The integrated modules may be implemented in hardware or in software functional modules.
In yet another embodiment of the present invention, a computer device is provided that includes a processor and a memory for storing a computer program including program instructions, the processor for executing the program instructions stored by the computer storage medium. The processor may be a central processing unit (Central Processing Unit, CPU), but may also be other general purpose processors, digital signal processors (Digital Signal Processor, DSP), application specific integrated circuits (Application Specific Integrated Circuit, ASIC), off-the-shelf Programmable gate arrays (FPGAs) or other Programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc., which are the computational core and control core of the terminal adapted to implement one or more instructions, in particular adapted to load and execute one or more instructions within a computer storage medium to implement the corresponding method flow or corresponding functions; the processor provided by the embodiment of the invention can be used for the operation of a cross-tone leaf pattern design method based on a Bezier curve.
In yet another embodiment of the present invention, a storage medium, specifically a computer readable storage medium (Memory), is a Memory device in a computer device, for storing a program and data. It is understood that the computer readable storage medium herein may include both built-in storage media in a computer device and extended storage media supported by the computer device. The computer-readable storage medium provides a storage space storing an operating system of the terminal. Also stored in the memory space are one or more instructions, which may be one or more computer programs (including program code), adapted to be loaded and executed by the processor. The computer readable storage medium herein may be a high-speed RAM memory or a non-volatile memory (non-volatile memory), such as at least one magnetic disk memory. One or more instructions stored in a computer-readable storage medium may be loaded and executed by a processor to implement the corresponding steps of the above-described embodiments with respect to a cross-acoustic leaf profile design method based on Bezier curves.
It will be appreciated by those skilled in the art that embodiments of the present invention may be provided as a method, system, or computer program product. Accordingly, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present invention is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems) and computer program products according to embodiments of the invention. It will be understood that each flow and/or block of the flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
Finally, it should be noted that: the above embodiments are only for illustrating the technical aspects of the present invention and not for limiting the same, and although the present invention has been described in detail with reference to the above embodiments, it should be understood by those of ordinary skill in the art that: modifications and equivalents may be made to the specific embodiments of the invention without departing from the spirit and scope of the invention, which is intended to be covered by the claims.
Claims (10)
1. The cross-sound leaf type design method based on the Bezier curve is characterized by comprising the following steps of:
obtaining geometric parameters of a cross-tone leaf profile: chord length, mounting angle, maximum thickness and maximum thickness relative position;
determining the position of a leading edge and a trailing edge according to the chord length of the cross-pitch blade profile;
obtaining a camber line and thickness distribution of the cross-tone blade profile front edge according to the position of the cross-tone blade profile front edge;
the suction surface and the pressure surface are respectively controlled in a sectional way, the suction surface and the pressure surface are divided into two parts at the position of the maximum thickness, and the maximum thickness m and the relative position of the maximum thickness of the blade profile are controlled by adopting Bezier curves;
and determining the tail edge arc according to the chord length of the blade profile and the tangency of the suction surface and the tail edge arc.
2. The Bezier curve-based cross-acoustic profile design method as claimed in claim 1, wherein the positions of the leading edge and the trailing edge are determined according to the chord length of the cross-acoustic profile:
the lengths of the leading edge and the trailing edge respectively account for 1% of the chord length, and four connection points S1, P1, S7 and P7 of the pressure surfaces of the leading edge and the trailing edge and the suction surface are determined; the change of the shape of the front edge is controlled by superposing thickness distribution of the camber line, and the shape of the tail edge is replaced by an arc; wherein the suction surface control point is: s1-7; the pressure surface control points are as follows: p1-7.
3. The Bezier curve-based cross-pitch profile design method of claim 1, wherein the camber line of the cross-pitch profile leading edge is approximately a straight line: the leading edge camber line is replaced by a straight line and is kept unchanged.
4. The Bezier curve-based cross-acoustic profile design method of claim 1, wherein the thickness distribution of the cross-acoustic profile leading edge: the thickness of the front edge front end blade profile changes severely, encryption is carried out, and the encryption range is between the control points L1 and L2; the leading edge control points are: l1-5.
5. The Bezier curve-based cross-acoustic profile design method of claim 4, wherein Bezier curves are used to control profile leading edge thickness distribution:
the leading edge thickness distribution curve is controlled by adopting a 5-order Bezier curve, and the method is specifically as follows:
the front edge end point L1 and the front edge and suction surface connecting point L5 are fixed;
α 1 with L2x, alpha 2 The heel L4y is used for controlling the thickness change speed of the front end of the front edge and the connection point of the front edge and the suction surface, and can respectively realize the change of four degrees of freedom, wherein alpha is as follows 1 、α 2 The definition of (1) is as shown in formulas 1 and 2:
the L3 control point is used for controlling the thickness distribution change of the middle section of the front edge, and can realize the change of four degrees of freedom, wherein the change range is L2x < L3x < L4x, and L2y < L3y < L4y; subscript: x represents the abscissa of the control point and y represents the ordinate of the control point; .
6. The method for designing a cross-acoustic leaf profile based on Bezier curves according to claim 1, wherein the maximum thickness m and the maximum thickness relative position of the leaf profile are controlled:
the blade profile of the pressure surface of the suction surface in front of the maximum thickness of the blade profile is controlled by adopting two sections of 4-order Bezier curves, wherein slope constraints are added to control points S2 and P2, the implementation method is that the slope k1 of the control points S2 and S1 is realized, and the slope k2 of the control points P2 and P1 is consistent with the slope of a leading edge ending point;
the control points S4 and P4 are positioned at the position of the maximum thickness of the blade profile, the control point S4 has four degrees of freedom change, the degree of freedom of the control point P4 in the horizontal direction is consistent with that of the control point S4, and the degree of freedom of the control point P4 in the vertical direction is controlled by the formula (3);
P4 y ＝S4 y -m (3)
control points S3y, S4y and S5y are kept consistent, control points P3y, P4y and P5y are kept consistent, and control points S3, P3, S5 and P5 have two degrees of freedom;
controlling the blade profile of the pressure surface of the suction surface after the maximum thickness of the blade profile by adopting two sections of 4-order Bezier curves, wherein slope constraint is added to control points S6 and P6, the slope k3 of the control points S6 and S7 is minus 0.433, and the slope k4 of the control points P6 and P7 is minus 0.099; .
7. The method for designing the cross-pitch blade profile based on the Bezier curve according to claim 1, wherein the tail edge is replaced by an arc, and the coordinates of the arc of the tail edge can be obtained according to the constraint that the suction surface is tangent to the arc and the chord length.
8. A Bezier curve-based cross-acoustic leaf design system, comprising:
the parameter acquisition module is used for acquiring the geometric parameters of the cross-tone leaf profile: chord length, mounting angle, maximum thickness and maximum thickness relative position;
the position determining module is used for determining the positions of the leading edge and the trailing edge according to the chord length of the cross-pitch blade profile;
the pitch arc and thickness distribution determining module is used for obtaining the pitch arc and thickness distribution of the cross-tone blade profile front edge according to the position of the cross-tone blade profile front edge;
the maximum thickness and position notification module is used for respectively controlling the suction surface and the pressure surface in a sectional manner, dividing the suction surface and the pressure surface into two parts at the position of the maximum thickness, and controlling the maximum thickness m and the relative position of the maximum thickness of the blade profile by adopting a Bezier curve in each section;
and the trailing edge arc determining module is used for determining the trailing edge arc according to the chord length of the blade profile and the tangency of the suction surface and the trailing edge arc.
9. A computer device comprising a memory, a processor and a computer program stored in the memory and executable on the processor, characterized in that the processor implements the steps of a method for cross-pitch leaf pattern design based on Bezier curves as claimed in any one of claims 1 to 7 when the computer program is executed.
10. A computer-readable storage medium storing a computer program, wherein the computer program when executed by a processor implements the steps of a betier curve-based cross-acoustic leaf pattern design method according to any one of claims 1 to 7.
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN116502364A (en) * | 2023-04-28 | 2023-07-28 | 东南大学溧阳研究院 | Design method of special radial turbine applied to turbocharger |
| CN117171924A (en) * | 2023-11-03 | 2023-12-05 | 陕西空天信息技术有限公司 | Blade design method, device, equipment and computer storage medium |
| CN117763878A (en) * | 2024-02-22 | 2024-03-26 | 清华大学 | Method and device for determining blade profile of air compressor and storage medium |
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2022
- 2022-12-15 CN CN202211615268.7A patent/CN115994423A/en active Pending
Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN116502364A (en) * | 2023-04-28 | 2023-07-28 | 东南大学溧阳研究院 | Design method of special radial turbine applied to turbocharger |
| CN116502364B (en) * | 2023-04-28 | 2024-03-08 | 东南大学溧阳研究院 | Design method of radial turbine applied to turbocharger |
| CN117171924A (en) * | 2023-11-03 | 2023-12-05 | 陕西空天信息技术有限公司 | Blade design method, device, equipment and computer storage medium |
| CN117171924B (en) * | 2023-11-03 | 2024-01-09 | 陕西空天信息技术有限公司 | Blade design method, device, equipment and computer storage medium |
| CN117763878A (en) * | 2024-02-22 | 2024-03-26 | 清华大学 | Method and device for determining blade profile of air compressor and storage medium |
| CN117763878B (en) * | 2024-02-22 | 2024-05-07 | 清华大学 | Method and device for determining blade profile of air compressor and storage medium |
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