An improved model to express the unsteady aerodynamic characteristics at high angles of attack is presented in this paper. The proposed aerodynamic model is expressed on the basis of a progressive state-space representation and Taylor’s series expansion. The state-space expression is a first-order differential equation in which the power item of the angular rate of attack is introduced. The unsteady aerodynamic coefficients are described by Taylor’s series expansion in terms of input variables. The approach of minimum mean square error criterion is utilized to identify the unknown parameters of the proposed model by nonlinear least square method from the tunnel data. The given modeling method is experimentally demonstrated by the wind tunnel measurements of NACA 0015 airfoil with constant rate to high angles of attack, F18 aircraft with constant pitch rate ramp motion, and F18 HARV (high alpha research vehicle) configuration with large-amplitude harmonic oscillatory. The results show that it is possible to analyze more complex unsteady aerodynamic problems for an aircraft within the framework of the proposed aerodynamic model and the represented model is directly amenable to the simulation and control system design.
Jiao TF and Gao ZH. Unsteady aerodynamic modeling at high angles of attack. In: AIAA atmospheric flight mechanics conference, Denver, CO, USA, 14-17 August 2000.
2.
LyuYZhangWShiJ, et al.Unsteady aerodynamic modeling of biaxial coupled oscillation based on improved elm. Aerosp Sci Technol2017; 60: 58–67.
3.
Kay J. Acquiring and modeling unsteady aerodynamic characteristics. In: AIAA atmospheric flight mechanics conference, AIAA 2000-3907, Denver, CO, USA, 14-17 August 2000.
4.
YuWChenWJiangZ, et al.Analytical entry guidance based on pseudo-aerodynamic profiles. Aerosp Sci Technol2017; 66: 315–331.
5.
Linse DJ and Stengel RF. Identification of aerodynamic coefficients using computational neural networks. In: 30th aerospace sciences meeting & exhibit, AIAA 92-0172, Reno, NV, 6-9 January 1992.
Chapman GT and Yates LA. Nonlinear aerodynamic parameter estimation and model structure identification. In: AIAA atmospheric flight mechanics conference, AIAA 92-4502, South Carolina, 10-12 August 1992.
8.
Fan Y and Lutze FH. Identification of an unsteady aerodynamic model at high angles of attack, AIAA-96-3407-CP, 1996.
9.
Lin G, Lan CE and Brandon JM. A generalized dynamic aerodynamic coefficient model for flight dynamics applications. AIAA-97-3643, 1997.
10.
Gage PJ, Stuckey RA and Drobik JS. A genetic approach to modelling flight dynamic characteristics. In: 35th aerospace sciences meeting & exhibit, AIAA-97-0536, Reno, NV, 6-9 January 1997.
11.
PersovaaMGSoloveichikYGBelovVK, et al.Modeling of aerodynamic heat flux and thermoelastic behavior of nose caps of hypersonic vehicles. Acta Astronaut2017; 136: 312–331.
12.
IsaevSBaranovPPopovI, et al.Improvement of aerodynamic characteristics of a thick airfoil with a vortex cell in sub- and transonic flow. Acta Astronaut2017; 132: 204–220.
13.
LiHGuoSZhangYL, et al.Unsteady aerodynamic and optimal kinematic analysis of a micro flapping wing rotor. Aerosp Sci Technol2017; 63: 167–178.
14.
ThompsonKXuYDickinsonBT. Aerodynamic moment model calibration from distributed pressure arrays. J Aircraft2017; 54: 716–723.
15.
SunLVisserCDChuQ, et al.Improving flexibility of multivariate spline model structures for aerodynamic modeling. Proc IMechE, Part G: J Aerospace Engineering2017; 30: 4017044–4017044.
16.
KimDChangJSohnMH. Unsteady aerodynamic characteristics depending on reduced frequency for a pitching naca0012 airfoil at rec = 2.3e4. Int J Aeronaut Space Sci2017; 18: 8–16.
17.
Monfort JC and Whitcomb WM. High-attitude low-speed static aerodynamic characteristics of an f-4d fighter airplane model with leading-edge slats. NASA TM X-62355, 1975.
18.
Peterson G, Bond W, Germann R, et al. Using neural networks for aerodynamic parameter modeling. In: Proceedings of the American control conference, Seattle, Wash, 21-23 June 1995.
19.
Gebert G, Dunworth K and Evers J. Unsteady aerodynamic model generation in the frequency domain. In: 21st applied aerodynamics conference, AIAA-2003-4087, Orlando, Florida, 23-26 June 2003.
20.
Greenwell DI. A review of unsteady aerodynamic modelling for flight dynamics of manoeuvrable aircraft. In: AIAA atmospheric flight mechanics conference and exhibit, AIAA-2004-5276, Rhode Island, 16-19 August 2004.
21.
WatanabeTMatsushimaKNakahashiK. Aerodynamic shape optimization of a near-sonic passenger plane using computational fluid dynamics. Proc IMechE, Part G: J Aerospace Engineering2008; 222: 1025–1035.
22.
PezzellaG. Aerodynamic and aerothermodynamic trade-off analysis of a small hypersonic flying test bed. Acta Astronaut2011; 69: 209–222.
23.
PezzellaGMarinoGRufoloGC. Aerodynamic database development of the ESA intermediate experimental vehicle. Acta Astronaut2014; 94: 57–72.
BagherzadehSSabzeparvarKarrariM. Nonlinear aerodynamic model identification using empirical mode decomposition. Proc IMechE, Part G: J Aerospace Engineering2015; 229: 1588–1605.
26.
MifsudMJMacmanusDGShawST. A variable-fidelity aerodynamic model using proper orthogonal decomposition. Int J Numer Methods Fluids2016; 82: 646–663.
27.
HaoDLiDX. Determination of dynamic mechanical properties of carbon black filled rubbers at wide frequency range using Havriliak-Negami model. Eur J Mech A-Solid2015; 53: 303–310.
28.
HaoDLiDXLiaoYH. A finite viscoelastic constitutive model for filled rubber-like materials. Int J Solids Struct201564-65: 232–245.
29.
HaoDLiDXLiaoYH. Hyperelasticity, dynamic mechanical property, and rheology of addition-type silicone rubber (VPDMS cured by PMHS). J Appl Polym Sci2015; 132: 42036–42036.
30.
HaoDLiDXLiaoYH. Parameter identification of modified fractional Zener model for thermorheological materials. J Non-Cryst Solids2015; 409: 106–119.
31.
HaoDZhangLYuJ, et al.Dynamic characteristics of multifunctional structure for spacecraft. Proc IMechE, Part G: J Aerospace Engineering2017, pp. 1–7.
32.
LiDLiuWHaoD. Vibration antiresonance design for a spacecraft multifunctional structure. Shock Vib2017; 3: 1–10.
33.
HaoDZhangLYuJ, et al.Mechanical properties of multifunctional structure with viscoelastic components based on FVE model. Acta Astronaut2018, pp. 255–262.
34.
Goman M and Khrabrov A. State-space representation of aerodynamic characteristics of an aircraft at high angles of attack. AIAA-92-4651-CP, 1992.
35.
GomanMKhrabovA. State-space representation of aerodynamic characteristics of an aircraft at high angles of attack. J Aircraft1994; 31: 1109–1115.
36.
Goman MG, Greenwell DI and Khrabrov AN. The characteristic time constant approach for mathematical modelling of high angle of attack aerodynamics. In: The 22nd international congress of aeronautical sciences, Harrogate, UK, 27 August to 1 September 2000.
37.
JumperEJSchreckSJDimmickRL. Lift-curve characteristics for an airfoil pitching at constant rate. J Aircraft1987; 24: 680–687.
38.
Brandon JM. Dynamic stall effects and application to high performance aircraft. AGARD Report No. 776, 1991.
39.
Hu C, Lan CE and Brandon J. Unsteady aerodynamic models for maneuvering aircraft. AIAA-93-3626-CP, 1993.
