CN108446445A - A kind of Optimization for composite wing method based on aerodynamic reduced order model - Google Patents
A kind of Optimization for composite wing method based on aerodynamic reduced order model Download PDFInfo
- Publication number
- CN108446445A CN108446445A CN201810145057.9A CN201810145057A CN108446445A CN 108446445 A CN108446445 A CN 108446445A CN 201810145057 A CN201810145057 A CN 201810145057A CN 108446445 A CN108446445 A CN 108446445A
- Authority
- CN
- China
- Prior art keywords
- model
- reduced
- aerodynamic
- finite element
- order
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/15—Vehicle, aircraft or watercraft design
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Geometry (AREA)
- General Physics & Mathematics (AREA)
- Computer Hardware Design (AREA)
- General Engineering & Computer Science (AREA)
- Evolutionary Computation (AREA)
- Aviation & Aerospace Engineering (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Optimization (AREA)
- Mathematical Analysis (AREA)
- Computational Mathematics (AREA)
- Automation & Control Theory (AREA)
- Aerodynamic Tests, Hydrodynamic Tests, Wind Tunnels, And Water Tanks (AREA)
Abstract
The present invention proposes a kind of Optimization for composite wing method based on aerodynamic reduced order model, belongs to technical field of aircraft design.The structural model and aerodynamic model for initially setting up reference model obtain corresponding aerodynamic reduced order model using the mode of the finite element model of reference model;Mode based on reference model obtains the reduced-order model of parameter finite element model as mode is assumed;Then the aeroelastic analysis of parameterized model is carried out;Using composite plys thickness, angle as design variable, experimental design is carried out, the design variable that experimental design is obtained obtains the agent model of parameterized model as input, aeroelastic analysis as output;Based on agent model, the optimization design of composite wing is carried out.The present invention improves the accuracy of wing aerodynamic flexibility analysis, improves the efficiency of analysis, is suitable for calculating the optimization that composite structure designs, so as to obtain the better composite wing structures of performance.
Description
Technical field
The invention belongs to technical field of aircraft design, are related to a kind of composite wing based on aerodynamic reduced order model
Optimum design method can be used for high-aspect-ratio composite wing aeroelasticity optimization design.
Background technology
Aircaft configuration loss of weight is the important content of Flight Vehicle Design.Composite material is two or more materials of different nature
The new material made of physics or chemical method.It has specific strength, specific stiffness are high, coefficient of thermal expansion is small, endurance,
Anticorrosive, the advantages that manufacturing cycle is short and easy to maintenance.It can be by different directions, difference portion during machine-shaping
The reasonable laying of position improves strength of aircraft, rigidity, to reduce Aircraft Quality.
Optimal Structure Designing is to realize the important way of structural weight reduction.Composite material can cut out the characteristics of design, make compound
Design on material structure has more selection spaces, but increases the complexity of design simultaneously.It was designed in composite structure
Cheng Zhong needs overlay thickness and each layer of laying angle that composite material is designed according to the design objective of structure.These designs
Variable influences each other, it is necessary to could carry out reasonable disposition by optimum design method.The optimum structure design method of mature and reliable
It is successful to be the key that composite structure designs.
In the design of modern aircraft aerofoil, aeroelastic stability is important constraint.Composite material cuts out characteristic not
It can only improve the quality of airfoil structure, mitigate airfoil structure weight, and allow that there are material couplings.It is coupled by these,
Quiet, the dynamic aeroelastic stability of airfoil structure can be improved.Accordingly, it is considered to which the optimization of the composite wing of aeroelasticity is set
The it is proposed of meter method has important practical usage.Traditional flutter of aerofoil analysis aerodynamic force uses vortex lattice method or dipole technique meter
It calculates, does not account for the influence of the factors such as camber and thickness, aerodynamic force order of accuarcy is relatively low.
Invention content
For the Aerodynamic Analysis methods such as above-mentioned traditional vortex lattice method, panel method there are the problem of, the present invention proposes a kind of
Composite wing structures optimum design method based on aerodynamic reduced order model, is substituted traditional using aerodynamic reduced order model
The Aerodynamic Analysis method such as vortex lattice method, panel method, greatly improves the accuracy to Aerodynamic Analysis, to obtain better composite wood
Expect wing structure.
Optimization for composite wing method provided by the invention based on aerodynamic reduced order model, including following step
Suddenly:
Step 1, the structural model of reference model is established, model analysis obtains the modal frequency and the vibration shape of the structural model;
Step 2, the aerodynamic model for establishing reference model, using the mode of the finite element model of reference model, by each rank mould
The state vibration shape obtains the pneumatic force-responsive under corresponding mode, and then obtain corresponding aerodynamic reduced order model as input;
Step 3, it is based on 3 d modeling software, parametrization wing structure model is established, establishes structural finite element model, and right
The model analysis obtains the mass matrix, stiffness matrix, damping matrix of the model;
Step 4, the mode based on reference model obtains the reduced-order model of parameter finite element model as mode is assumed;
Step 5, the structure reduced-order model based on pneumatic depression of order power model and parametrical finite element, carries out parameterized model
Aeroelastic analysis;
Step 6, using composite plys thickness, angle as design variable, experimental design is carried out, experimental design is obtained
Design variable as input, aeroelastic analysis as output, obtain the agent model of parameterized model;
Step 7, the agent model obtained based on step 6 carries out the optimization design of composite wing.
Method provided by the invention the advantage is that compared with existing Optimization for composite wing method:
(1) it uses the aerodynamic force that CFD is calculated to carry out aeroelastic analysis, compares traditional vortex lattice method or dipole side
Method, improves the accuracy of wing aerodynamic flexibility analysis, so as to obtain the better composite wing structures of performance;
(2) it using the mode of reference model as mode is assumed, is introduced into the depression of order of structural model, so without for every
One parameterized model carries out aerodynamic response analysis, improves the efficiency of analysis, is suitable for designing composite structure excellent
Change and calculates.
Description of the drawings
Fig. 1 is the flow chart of the Optimization for composite wing method of the present invention;
Fig. 2 is that CFD unsteady aerodynamic forces calculate unstrctured grid
Fig. 3 is broad sense aerodynamic coefficient and reduced-order model comparison under step response
Mode generalized displacement response when Fig. 4 Mach 2 ships 0.2
Specific implementation mode
Below in conjunction with drawings and examples, the present invention is described in further detail.
Fig. 1 be the present invention is based on the overall step of the Optimization for composite wing method of aerodynamic reduced order model, under
It is specifically described in face of each realization step.
Step 1, the structural finite element model of initial reference wing (i.e. initial reference model) is established, model analysis is somebody's turn to do
The mode Φ of structural model includes the frequency and the vibration shape of mode.
Step 2, aerodynamic force is calculated using CFD, establishes the aerodynamic model of initial reference model.Using the limited of reference model
The mode Φ of meta-model obtains the pneumatic force-responsive under corresponding mode using each rank Mode Shape step signal as input.
According to the processing mode in step response, single order Volterra cores are the difference of the adjacency of step response:
Wherein, k is discrete time kth step number, and y is step response, and h is Volterra cores.Y (k) is in kth time step
Step response.
Assuming that being h (k), k=1,2 ..., K by the single order core that Volterra series picks out, then Hankel matrixes can
To be written as:
Wherein, r is the line number of Hankel matrixes, and s is Hankel matrix column numbers, and n is initial time step number.
By finally obtaining aerodynamic reduced order model to Hankel Singular Value Decompositions:
Wherein, subscript a is expressed as Aerodynamic Model, xaIt is the state variable of the state space of the aerodynamic reduced order model, ua
For the input of the state space.xa(k) be state space kth time step state variable.In the research of Aeroelastic Problems,
Primary concern is that the coupling effect of the elastic force of aerodynamic force and structure, so, input here is the deformation quantity of structure, i.e., extensively
Adopted position is moved, Aa、Ba、Ca、DaFor aerodynamic reduced order model state space parameter, yaThe output of the aerodynamic reduced order model state space
Amount, as broad sense aerodynamic force.
Step 3, using 3 d modeling softwares such as CATIA, parametrization wing structure model is established, is had using Nastran etc.
Finite element analysis software establishes structural finite element model, and analyzes the structural finite element model, and the mould is obtained using DMAP language
Mass matrix, stiffness matrix and the damping matrix of type, the kinetics equation of the model are as follows:
Wherein M, K, C are respectively mass matrix, stiffness matrix, damping matrix, and the point above character indicates derivation, two points
Indicate that secondary derivation, a point indicate a derivation.U (t) indicates that the displacement of t moment, f (t) indicate the external force of t moment.
Step 4, the mode Φ based on reference model introduces coordinate transform u (t)=Φ x (t) as mode is assumed, to ginseng
Numberization structural finite element model carries out depression of order, obtains the mass matrix M of corresponding reduced-order models, stiffness matrix KsAnd damping matrix
Cs。
Ms=ΦTM Φ, Ks=ΦTK Φ, Cs=ΦTCΦ
To which the reduced-order model for obtaining parameter finite element model is as follows:
The form that above formula is write as to state space, obtains:
Wherein, each coefficient matrix is respectively:
Cs=[I];Ds=[0];
Wherein, I indicates unit matrix.State variable xs(t) it is:
By above-mentioned continuous time configuration state spatial model sliding-model control, structural separation time system state space is obtained
Model:
Wherein, As'、Bs'、Cs'、Ds' it is corresponding structural separation time system state-space model parameter.K represents kth
Time step;xs(k) it is the state variable of kth time step, u (k) is the displacement of kth time step, and f (k) is the outer of kth time step
Power.
Step 5, the structure reduced-order model based on aerodynamic reduced order model and parametrical finite element, carries out parameterized model
Aeroelastic analysis.
Depression of order, Φ are carried out since broad sense aerodynamic force still is based on initial modeTF (t) is without computing repeatedly, pneumatically
Elastic model is as follows:
Wherein, q indicates dynamic pressure.
Step 6, using composite plys thickness, angle as design variable, based on experimental designs sides such as Latin hypercubes
Method carries out experimental design, and the design variable that experimental design is obtained responds (such as flutter speed, fitful wind as input, aeroelasticity
Response) as output, obtain the agent model of the parameterized model.
Step 7, the agent model obtained based on step 6 carries out the optimization design of composite wing.Such as can be used with
Maximum flutter speed, minimum gust response, minimal structure weight are design object, to meet the rigidity of structure, intensity for constraint item
Part carries out multi-objective optimization design of power using optimization methods such as genetic algorithms.
It is that verification refers to AGARD446.5 wings, calculates its flutter speed in 0.9Ma.Utilize the aerodynamic force of depression of order
Model is coupled with structural model, is acquired under the Mach number, the flutter situation corresponding to different dynamic pressures, and Fig. 2 is the unsteady gas of CFD
Cable Power Computation unstrctured grid.Fig. 3 is broad sense aerodynamic coefficient and reduced-order model comparison under step response, reduced-order model calculating
As a result it coincide with CFD results preferable, can be used for subsequent aeroelasticity modeling.Mode broad sense when with Fig. 4 being Mach 2 ship 0.2
Dynamic respond, it can be seen that quadravalence response of mode displacement is restrained at this time, final to determine that the flutter speed at 0.9Ma is
0.25Ma.The result of order reducing method and the result of experiment are almost consistent, and pneumatic bomb can be carried out to the wing based on the above results
Property response optimization.
Claims (5)
1. a kind of Optimization for composite wing method based on aerodynamic reduced order model, which is characterized in that including following step
Suddenly:
Step 1, the structural model of reference model is established, model analysis obtains the modal frequency and the vibration shape of the structural model;
Step 2, corresponding mode is obtained using each rank Mode Shape as input using the mode of the finite element model of reference model
Under pneumatic force-responsive, and then obtain corresponding aerodynamic reduced order model;
Step 3, it is based on 3 d modeling software, parametrization wing structure model is established, establishes structural finite element model, and to the mould
Type analysis obtains the mass matrix, stiffness matrix and damping matrix of the model;
Step 4, the mode based on reference model obtains the reduced-order model of parametrization structural finite element model as mode is assumed;
Step 5, the reduced-order model based on aerodynamic reduced order model and parametrization structural finite element model, carries out parameterized model
Aeroelastic analysis;
Step 6, using composite plys thickness, angle as design variable, experimental design is carried out, is set what experimental design obtained
Variable is counted as input, aeroelastic analysis obtains the agent model of parameterized model as output;
Step 7, the agent model obtained based on step 6 carries out the optimization design of composite wing.
2. according to the method described in claim 1, it is characterized in that, in the step 2, obtained aerodynamic reduced order model table
The state-space model being shown as under discrete time, it is as follows:
Wherein, xaIt is the state variable of the state space of aerodynamic reduced order model, uaFor the input of the state space, yaFor the shape
The output of state space;K is discrete time kth step number;Aa、Ba、Ca、DaFor aerodynamic reduced order model state space parameter.
3. according to the method described in claim 1, it is characterized in that, in the step 4, using the finite element mould of reference model
The mode Φ of type carries out depression of order as mode is assumed, to parametrization structural finite element model;
The mass matrix M of reduced-order model is obtained firsts, stiffness matrix KsWith damping matrix Cs, as follows:
Ms=ΦTM Φ, Ks=ΦTK Φ, Cs=ΦTCΦ;
Wherein, M, K, C mass matrix that step 3 obtains respectively, stiffness matrix, damping matrix;
Coordinate transform u (t)=Φ x (t) are introduced, the reduced-order model for obtaining parameter finite element model is:
Wherein, t indicates that t moment, u indicate that displacement, f indicate external force;
The form that above formula is write as to state space, obtains:
Wherein, each coefficient matrix is respectively:
Cs=[I];Ds=[0];
I indicates unit matrix;
State variable xs(t) it is:
4. according to the method described in claim 3, it is characterized in that, the reduced-order model of the parameter finite element model indicates
It is as follows for the state-space model under Offtime:
Wherein, As'、Bs'、Cs'、Ds' it is state-space model parameter of the reduced-order model under discrete time;K is discrete time
Kth step number;xsFor the state variable of the state space under reduced-order model Offtime.
5. according to the method described in claim 1, it is characterized in that, in the step 5, aerodynamic reduced order model and ginseng are utilized
State-space model of the reduced-order model of numberization structural finite element model under discrete time obtains state space under discrete time
The aeroelastic model of form is as follows:
Wherein, k is kth time step;xaIt is the state variable of the state space of aerodynamic reduced order model, xsHave for parametrization structure
Limit the state variable of the state space of the reduced-order model of meta-model;Aa、Ba、Ca、DaJoin for the state space of aerodynamic reduced order model
Number;As'、Bs'、Cs' for parametrization structural finite element model reduced-order model state space parameter, q indicate dynamic pressure.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201810145057.9A CN108446445B (en) | 2018-02-12 | 2018-02-12 | Composite material wing optimization design method based on aerodynamic reduced order model |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201810145057.9A CN108446445B (en) | 2018-02-12 | 2018-02-12 | Composite material wing optimization design method based on aerodynamic reduced order model |
Publications (2)
Publication Number | Publication Date |
---|---|
CN108446445A true CN108446445A (en) | 2018-08-24 |
CN108446445B CN108446445B (en) | 2021-12-17 |
Family
ID=63192565
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN201810145057.9A Active CN108446445B (en) | 2018-02-12 | 2018-02-12 | Composite material wing optimization design method based on aerodynamic reduced order model |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN108446445B (en) |
Cited By (10)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN109299513A (en) * | 2018-08-27 | 2019-02-01 | 东南大学 | A kind of Sensitivity Analysis Method of modal frequency to quality |
CN109753690A (en) * | 2018-12-10 | 2019-05-14 | 西北工业大学 | Nonlinear unsteady aerodynamics order reducing method based on Fluid Mechanics Computation |
CN109840349A (en) * | 2018-12-18 | 2019-06-04 | 西安爱生技术集团公司 | A kind of fixed wing aircraft gust response modeling and analysis methods |
CN111144041A (en) * | 2019-12-06 | 2020-05-12 | 西北工业大学 | Optimization design method of inner flap mechanism of airplane |
CN111291451A (en) * | 2020-01-21 | 2020-06-16 | 哈尔滨工程大学 | Method for enhancing aeroelastic stability of cylindrical shell structure for spacecraft |
CN111523178A (en) * | 2020-04-21 | 2020-08-11 | 北京航空航天大学 | Method for reducing vibration load of composite rotor hub |
WO2020215362A1 (en) * | 2019-04-24 | 2020-10-29 | 东莞理工学院 | Intelligent parametric design method for wings of miniature flapping-wing aircraft |
CN111950076A (en) * | 2020-07-10 | 2020-11-17 | 北京航空航天大学 | Design method for reducing dynamic stress level of composite material rotor wing |
CN112307556A (en) * | 2020-09-27 | 2021-02-02 | 北京航空航天大学 | Composite material does not have bearing rotor and increases steady device |
CN114942595A (en) * | 2022-07-25 | 2022-08-26 | 西安爱生技术集团有限公司 | Unmanned aerial vehicle gust response modeling and analyzing method considering rainfall influence |
Citations (7)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20120232860A1 (en) * | 2011-03-11 | 2012-09-13 | Desktop Aeronautics, Inc. | Generating a simulated fluid flow over an aircraft surface using anisotropic diffusion |
CN103646131A (en) * | 2013-11-26 | 2014-03-19 | 北京航空航天大学 | Multi-objective optimization design method considering aeroelasticity restraint and for wing made of composite material |
CN103646133A (en) * | 2013-11-26 | 2014-03-19 | 中国飞行试验研究院 | Method for simulating effect of piezoelectric actuator based on test correction |
CN103838141A (en) * | 2013-08-09 | 2014-06-04 | 西安电子科技大学 | Control-orientated large antenna modeling method |
CN104166758A (en) * | 2014-08-07 | 2014-11-26 | 东北大学 | Determination method for inherent frequency of rotor-blade coupled system |
CN105843073A (en) * | 2016-03-23 | 2016-08-10 | 北京航空航天大学 | Method for analyzing wing structure aero-elasticity stability based on aerodynamic force uncertain order reduction |
CN106444885A (en) * | 2016-11-09 | 2017-02-22 | 南京航空航天大学 | Active flutter suppression controller constitute and simulation method thereof |
-
2018
- 2018-02-12 CN CN201810145057.9A patent/CN108446445B/en active Active
Patent Citations (7)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20120232860A1 (en) * | 2011-03-11 | 2012-09-13 | Desktop Aeronautics, Inc. | Generating a simulated fluid flow over an aircraft surface using anisotropic diffusion |
CN103838141A (en) * | 2013-08-09 | 2014-06-04 | 西安电子科技大学 | Control-orientated large antenna modeling method |
CN103646131A (en) * | 2013-11-26 | 2014-03-19 | 北京航空航天大学 | Multi-objective optimization design method considering aeroelasticity restraint and for wing made of composite material |
CN103646133A (en) * | 2013-11-26 | 2014-03-19 | 中国飞行试验研究院 | Method for simulating effect of piezoelectric actuator based on test correction |
CN104166758A (en) * | 2014-08-07 | 2014-11-26 | 东北大学 | Determination method for inherent frequency of rotor-blade coupled system |
CN105843073A (en) * | 2016-03-23 | 2016-08-10 | 北京航空航天大学 | Method for analyzing wing structure aero-elasticity stability based on aerodynamic force uncertain order reduction |
CN106444885A (en) * | 2016-11-09 | 2017-02-22 | 南京航空航天大学 | Active flutter suppression controller constitute and simulation method thereof |
Non-Patent Citations (4)
Title |
---|
向锦武等: ""大展弦比复合材料机翼研究进展"", 《哈尔滨工业大学学报》 * |
徐敏等: ""基于 Volterra 级数的非定常气动力降阶模型"", 《强度与环境》 * |
朱江辉等: ""大展弦比复合材料机翼气动剪裁和减重优化设计"", 《飞机设计》 * |
谢亮等: ""基于 CFD/CSD 耦合的颤振与动载荷分析方法"", 《振动与冲击》 * |
Cited By (14)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN109299513B (en) * | 2018-08-27 | 2019-04-30 | 东南大学 | A kind of Sensitivity Analysis Method of modal frequency to quality |
CN109299513A (en) * | 2018-08-27 | 2019-02-01 | 东南大学 | A kind of Sensitivity Analysis Method of modal frequency to quality |
CN109753690A (en) * | 2018-12-10 | 2019-05-14 | 西北工业大学 | Nonlinear unsteady aerodynamics order reducing method based on Fluid Mechanics Computation |
CN109840349A (en) * | 2018-12-18 | 2019-06-04 | 西安爱生技术集团公司 | A kind of fixed wing aircraft gust response modeling and analysis methods |
CN109840349B (en) * | 2018-12-18 | 2023-02-10 | 西安爱生技术集团公司 | Fixed-wing aircraft gust response modeling analysis method |
WO2020215362A1 (en) * | 2019-04-24 | 2020-10-29 | 东莞理工学院 | Intelligent parametric design method for wings of miniature flapping-wing aircraft |
CN111144041A (en) * | 2019-12-06 | 2020-05-12 | 西北工业大学 | Optimization design method of inner flap mechanism of airplane |
CN111291451B (en) * | 2020-01-21 | 2022-09-09 | 哈尔滨工程大学 | Method for enhancing aeroelastic stability of cylindrical shell structure for spacecraft |
CN111291451A (en) * | 2020-01-21 | 2020-06-16 | 哈尔滨工程大学 | Method for enhancing aeroelastic stability of cylindrical shell structure for spacecraft |
CN111523178A (en) * | 2020-04-21 | 2020-08-11 | 北京航空航天大学 | Method for reducing vibration load of composite rotor hub |
CN111950076A (en) * | 2020-07-10 | 2020-11-17 | 北京航空航天大学 | Design method for reducing dynamic stress level of composite material rotor wing |
CN112307556A (en) * | 2020-09-27 | 2021-02-02 | 北京航空航天大学 | Composite material does not have bearing rotor and increases steady device |
CN114942595A (en) * | 2022-07-25 | 2022-08-26 | 西安爱生技术集团有限公司 | Unmanned aerial vehicle gust response modeling and analyzing method considering rainfall influence |
CN114942595B (en) * | 2022-07-25 | 2022-11-18 | 西安爱生技术集团有限公司 | Unmanned aerial vehicle gust response modeling and analyzing method considering rainfall influence |
Also Published As
Publication number | Publication date |
---|---|
CN108446445B (en) | 2021-12-17 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN108446445A (en) | A kind of Optimization for composite wing method based on aerodynamic reduced order model | |
Frink et al. | The NASA tetrahedral unstructured software system (TetrUSS) | |
Murua et al. | Applications of the unsteady vortex-lattice method in aircraft aeroelasticity and flight dynamics | |
CN101236573B (en) | Flex wing minisize aerial craft fluid-solid coupling numerical value emulation method | |
CN103077259A (en) | Hypersonic speed guided missile multi-field coupling dynamics integrated simulation analysis method | |
KR102616901B1 (en) | Aerodynamic layout design method and system for wide-speed-range hypersonic aircraft | |
CN105046021A (en) | Non-linear optimization algorithm for rational approximation of unsteady aerodynamic minimum state | |
Hang et al. | Analytical sensitivity analysis of flexible aircraft with the unsteady vortex-lattice aerodynamic theory | |
Ghoman et al. | Multifidelity, multistrategy, and multidisciplinary design optimization environment | |
CN105447269A (en) | Non-structural mass trimming method for airplane in steady overload state | |
CN103853890B (en) | A kind of hypersonic aircraft aeroelastic tailoring method | |
Peng et al. | Numerical investigation of the effects of structural geometric and material nonlinearities on limit-cycle oscillation of a cropped delta wing | |
Suleman et al. | Non-linear aeroelastic analysis in the time domain of high-aspect-ratio wings: Effect of chord and taper-ratio variation | |
CN114154434A (en) | Multi-constraint refined pneumatic optimization design method for layout of tailless flying wing | |
Zhang et al. | A morphing wing with cellular structure of non-uniform density | |
CN117171894A (en) | Aircraft layout pneumatic optimization design method considering static margin constraint | |
Choi et al. | Optimized design and analysis of composite flexible wing using aero-nonlinear structure interaction | |
Haftka et al. | Efficient optimization of integrated aerodynamic–structural design | |
Tian et al. | Aeroelastic tailoring of a composite forward-swept wing using a novel hybrid pattern search method | |
CN113868761A (en) | Optimization design method for composite material airfoil surface skin | |
Li et al. | Effects of unbalanced lamination parameters on the static aeroelasticity of a high aspect ratio wing | |
Toffol et al. | Neopt: an optimization suite for the aeroelastic preliminary design | |
Zuo et al. | Efficient aeroelastic design optimization based on the discrete adjoint method | |
CN116956782B (en) | Nonlinear flutter analysis method | |
Rizzi et al. | Comparitive Study of Two Optimization Frameworks Applied to Case III: Induced-Drag Minimization |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
PB01 | Publication | ||
PB01 | Publication | ||
SE01 | Entry into force of request for substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
GR01 | Patent grant | ||
GR01 | Patent grant |