CN106777590A - A kind of air-foil matches method for designing - Google Patents

A kind of air-foil matches method for designing Download PDF

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CN106777590A
CN106777590A CN201611090349.4A CN201611090349A CN106777590A CN 106777590 A CN106777590 A CN 106777590A CN 201611090349 A CN201611090349 A CN 201611090349A CN 106777590 A CN106777590 A CN 106777590A
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coefficient
wing
lift
parameter
angle
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詹光
胡婕
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Shenyang Aircraft Design and Research Institute Aviation Industry of China AVIC
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Shenyang Aircraft Design and Research Institute Aviation Industry of China AVIC
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    • G06N3/126Evolutionary algorithms, e.g. genetic algorithms or genetic programming
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Abstract

The invention provides a kind of air-foil apolegamy method for designing, one group of wing parameter is selected first and this group of parametrization wing aerodynamic analysis model of wing parameter is set up, choose the first angle of attack α1With the second angle of attack α2, calculate α1Corresponding first lift coefficient CL1With the first moment coefficient CM1, calculate α2Corresponding second lift coefficient CL2With the second moment coefficient CM2;Then according to previously given CLDesign is calculated and CLIf corresponding 3rd angle of attack α3, CLLift coefficient corresponding with design point is set to, and calculates zero lift moment coefficient CM0;Calculate again and α3Corresponding resistance coefficient CD3, and to resistance coefficient CD3It is modified, and calculates the corresponding lift-drag ratio K of point of useMake;Enter row constraint and optimization to parameter finally by optimization problem is defined, obtain optimal wing parameter, obtain and design the maximum lift-drag ratio of Point matching by optimal wing parameter.

Description

A kind of air-foil matches method for designing
Technical field
The present invention relates to wing design technical field, more particularly to a kind of air-foil apolegamy method for designing.
Background technology
The universal air-foil apolegamy of industrial quarters is all first to be selected from wing storehouse according to lifting resistance characteristic, torque factor requirement Matching degree aerofoil profile higher, then to selecting the wing apolegamy aerofoil profile of plane geometry parameter and defining the aerofoil profiles such as several groups of geometric twists Relevant parameter, Aerodynamic characteristics are carried out to it, if Aerodynamic characteristics meet require if carry out next step optimization design, if It is unsatisfactory for then matching aerofoil profile to the wing for selecting plane geometry parameter again, re-defines the relevant parameter of the aerofoil profiles such as geometric twist simultaneously Aerodynamic characteristics are carried out to it, is required until Aerodynamic characteristics meet.
The design analysis of aerofoil profile, above method abbreviation 2D wing designs are concentrated on due to Main Analysis.Early stage dopey Aerofoil profile determine the Aerodynamic Characteristics of wing substantially, by the aerofoil profile of manual iteration match design can meet Development Schedule will Ask.But with the development that becomes more meticulous of pneumatic design technology, the continuous improvement of analysis means possesses low aspect ratio, big angle of sweep etc. The a large amount of of feature wing use, and aerofoil profile and full machine aerodynamic characteristic are simultaneously insufficient corresponding, to be found using original method and matched very much Aerofoil profile it is relatively difficult, and operating efficiency is relatively low.
Be to solve problem above, the research of more and more academias focuses on 3D wing designs, will wing it is whole as one Build face carries out the analysis and optimization of 3-dimensional.Obviously, this method is to simulation capacity, data-handling capacity and optimization method etc. Various aspects requirement is higher, is not appropriate in the larger aircraft concept of Parameters variation, concept phase, especially in wing The design point offset problem that produces during aerofoil profile apolegamy design, although obtain maximum lift-drag ratio, but with the lift coefficient of point of use Corresponding lift-drag ratio is but not necessarily maximum lift-drag ratio.
The content of the invention
It is at least one defect for overcoming above-mentioned prior art to exist, is designed the invention provides a kind of apolegamy of air-foil Method, comprises the following steps:
Step one, selectes one group of wing parameter { X0, X1, X2, X3...1, and set up this group of parametrization wing of wing parameter Aerodynamic analysis model, chooses the first angle of attack α1With the second angle of attack α2, calculate α1Corresponding first lift coefficient CL1With the first torque system Number CM1, calculate α2Corresponding second lift coefficient CL2With the second moment coefficient CM2
Step 2, is set according to previously given CL and is calculated and C by formula (1)LIf corresponding 3rd angle of attack α3, CL is set to Lift coefficient corresponding with design point,
α31+(CLIf-CL1)/(CL2-CL1)*(α21) (1);
Zero lift moment coefficient C is calculated according to formula (2)M0,
CM0=CM1–(CM2–CM1)/(CL2-CL1)*CL1(2);
Step 3, calculates and α3Corresponding resistance coefficient CD3, and to resistance coefficient CD3It is modified, and by formula (3) Calculating the corresponding lift-drag ratio K of point of use makes, wherein δCDIt is viscous drag correction coefficient,
K makes=CLIf/(CD3CD) (3);
Step 4, defines constraints and optimization aim, and the optimization aim is K is made maximization, by the constraint bar Part and optimization aim substitute into genetic algorithm and calculate, and obtain optimal wing parameter { X0, X1, X2, X3... optimal, by optimal wing ginseng Number { X0, X1, X2, X3... most preferably as the wing parameter in step one, a step one is re-executed to step 3, trying to achieve makes Made with the maximum lift-drag ratio K of pointmax
Preferably, the wing parameter selected in step one includes the main occupy-place torsion angle of wing and aerofoil profile parameter.
Preferably, the first angle of attack α in step 21It is 2 °, the second angle of attack α2It is 4 °, CLIf value is 0.2.
Preferably, the constraints in step 4 includes the constraints of variable ranges of wing parameter and the model of zero lift moment coefficient Enclose constraint.
Preferably, the genetic algorithm in step 4 uses archipelago genetic algorithm.
A kind of air-foil apolegamy method for designing that the present invention is provided, under conditions of wing planform parameter determination, The maximum lift-drag ratio matched with design point is quickly found out by calculating, and can guarantee that the maximum lift-drag ratio meets constraints, Solve design point offset problem present in design.
Brief description of the drawings
Fig. 1 is the point of use schematic diagram that the air-foil that the present invention is provided matches method for designing.
Specific embodiment
To make the purpose, technical scheme and advantage of present invention implementation clearer, below in conjunction with the embodiment of the present invention Accompanying drawing, the technical scheme in the embodiment of the present invention is further described in more detail.In the accompanying drawings, identical from start to finish or class As label represent same or similar element or the element with same or like function.Described embodiment is the present invention A part of embodiment, rather than whole embodiments.Embodiment below with reference to Description of Drawings is exemplary, it is intended to used It is of the invention in explaining, and be not considered as limiting the invention.Based on the embodiment in the present invention, ordinary skill people The every other embodiment that member is obtained under the premise of creative work is not made, belongs to the scope of protection of the invention.
Below by specific embodiment, the present invention is described in further detail.
Specific embodiment:
Step one, the Hicks-Henne methods of application enhancements are parameterized to basic aerofoil profile, from aerodynamic analysis software FLO22, sets up parametrization wing analysis Mathematical Modeling, and wing parameter includes the main occupy-place torsion angle of wing and aerofoil profile parameter { Yita [4], Airfoil_1 [23], Airfoil_2 [23], Airfoil_3 [23] ... ... }, selectes 2 ° of low incidence for first meets Angle α1, it is the first angle of attack α to select 4 ° of low incidence2, calculate α1Corresponding first lift coefficient CL1It is 0.15, the first moment coefficient CM1It is -0.015, calculates α2Corresponding second lift coefficient CL2It is 0.25, the second moment coefficient CM2For -0.03;
Step 2, previously given lift coefficient C corresponding with design pointL0.2 is set to, is calculated by formula below (1) Go out CLIf corresponding 3rd angle of attack α3It is 3 °,
α31+(CLIf-CL1)/(CL2-CL1)*(α21) (1);
Zero lift moment coefficient C is calculated according to formula below (2)M0It is 0.0075,
CM0=CM1–(CM2–CM1)/(CL2-CL1)*CL1(2);
Step 3, calculates and α3Corresponding resistance coefficient CD3It is 0.005, and to resistance coefficient CD3It is modified, and passes through Formula below (3) calculates the corresponding lift-drag ratio K of point of use to be made to be 20, wherein viscous drag correction coefficient δCDIt is 0.005,
K makes=CLIf/(CD3CD) (3);
Step 4, analysis environments are optimized using ModelCenter software buildings, define constraints and optimization aim, institute The range constraint of constraints of variable ranges and zero lift moment coefficient of the constraints including wing parameter is stated, the optimization aim is to make K makes maximization, wherein:
Variable:{ Yita [4], Airfoil_1 [23], Airfoil_2 [23], Airfoil_3 [23] ... ... };
Range of variables:-0.1<Airfoil_1[1]<0.1 ... ...
Constraint:CM0, Camber [3], Thinkness [3];
Restriction range:0.006<CM0<0.008,0<Camber[1]<0.05 ... ...
Optimization aim:K makes maximization;
The constraints and optimization aim are substituted into archipelago genetic algorithm to calculate, one group of optimal wing parameter is obtained, will Optimal wing parameter re-executes a step one to step 3 as the wing parameter in step one, by formula (1) to public affairs The maximum lift-drag ratio K that formula (3) tries to achieve point of use makes max be 22.
The above, specific embodiment only of the invention, but protection scope of the present invention is not limited thereto, and it is any Those familiar with the art the invention discloses technical scope in, the change or replacement that can be readily occurred in, all should It is included within the scope of the present invention.Therefore, protection scope of the present invention should be with the scope of the claims It is accurate.

Claims (5)

1. a kind of air-foil matches method for designing, it is characterised in that comprise the following steps:
Step one, selectes one group of wing parameter { X0, X1, X2, X3...1, and set up this group of parametrization wing aerodynamic of wing parameter Analysis model, chooses the first angle of attack α1With the second angle of attack α2, calculate α1Corresponding first lift coefficient CL1With the first moment coefficient CM1, calculate α2Corresponding second lift coefficient CL2With the second moment coefficient CM2
Step 2, according to previously given CL setsCalculated by formula (1) and CL setsCorresponding 3rd angle of attack α3, CL setsIt is and design point Corresponding lift coefficient,
α31+(CL sets-CL1)/(CL2-CL1)*(α21) (1);
Zero lift moment coefficient C is calculated according to formula (2)M0,
CM0=CM1–(CM2–CM1)/(CL2-CL1)*CL1(2);
Step 3, calculates and α3Corresponding resistance coefficient CD3, and to resistance coefficient CD3It is modified, and is calculated by formula (3) The corresponding lift-drag ratio K of point of use makes, wherein δCDIt is viscous drag correction coefficient,
KMake=CL sets/(CD3CD) (3);
Step 4, defines constraints and optimization aim, the optimization aim to make K make maximization, by the constraints and Optimization aim substitutes into genetic algorithm and calculates, and obtains optimal wing parameter { X0, X1, X2, X3... optimal, by optimal wing parameter {X0, X1, X2, X3...Most preferablyAs the wing parameter in step one, a step one is re-executed to step 3, try to achieve point of use Maximum lift-drag ratio KMake max
2. air-foil according to claim 1 matches method for designing, it is characterised in that the wing ginseng selected in step one Number includes the main occupy-place torsion angle of wing and aerofoil profile parameter.
3. air-foil according to claim 1 matches method for designing, it is characterised in that the first angle of attack α in step 21 It is 2 °, the second angle of attack α2It is 4 °, CL setsBe worth is 0.2.
4. air-foil according to claim 1 matches method for designing, it is characterised in that the constraints bag in step 4 Include the range constraint of the constraints of variable ranges and zero lift moment coefficient of wing parameter.
5. air-foil according to claim 1 matches method for designing, it is characterised in that the genetic algorithm in step 4 is adopted Use archipelago genetic algorithm.
CN201611090349.4A 2016-11-30 2016-11-30 A kind of air-foil matches method for designing Pending CN106777590A (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110750839A (en) * 2019-08-26 2020-02-04 深圳市道通智能航空技术有限公司 Design method of propeller wing profile and terminal equipment
CN111291304A (en) * 2018-12-07 2020-06-16 波音公司 Flight control system for determining estimated dynamic pressure based on lift and drag coefficients

Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102941925B (en) * 2012-11-05 2015-05-13 北京航空航天大学 Elastic correction method of airplane lifting resistance aerodynamic characteristics
CN106021808A (en) * 2016-06-07 2016-10-12 西北工业大学 Low span chord ratio aerofoil type designing method considering three-dimensional effect

Patent Citations (2)

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Publication number Priority date Publication date Assignee Title
CN102941925B (en) * 2012-11-05 2015-05-13 北京航空航天大学 Elastic correction method of airplane lifting resistance aerodynamic characteristics
CN106021808A (en) * 2016-06-07 2016-10-12 西北工业大学 Low span chord ratio aerofoil type designing method considering three-dimensional effect

Non-Patent Citations (4)

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ISMOYO HARYANTO等: "《Optimization Of Maximum Lift To Drag Ratio On Airfoil Design Based On Artificial Neural Network Utilizing Genetic Algorithm》", 《APPLIED MECHANICS AND MATERIALS》 *
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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111291304A (en) * 2018-12-07 2020-06-16 波音公司 Flight control system for determining estimated dynamic pressure based on lift and drag coefficients
CN111291304B (en) * 2018-12-07 2024-05-24 波音公司 Flight control system for determining estimated dynamic pressure based on lift and drag coefficients
CN110750839A (en) * 2019-08-26 2020-02-04 深圳市道通智能航空技术有限公司 Design method of propeller wing profile and terminal equipment

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Application publication date: 20170531