The flutter instability of high aspect ratio wings is numerically investigated by means of finite element aeroelastic analysis. The effect of static equilibrium deflection as well as the additional differential stiffness was introduced in the calculation by a new procedure based on MSC Nastran™ commercial code. The difference between the classic linear flutter calculation and the new procedure presented has been demonstrated numerically and also experimentally. The main parameters that influence the aeroelastic phenomenon were also highlighted and used to define the aeroelastic similarity model related to a typical aircraft of the high altitude long endurance aircraft category.
WoolstonDSRunyanHLAndrewsRE. An investigation of effects of certain types of structural nonlinearities on wing and control surface flutter. J Aerosp Sci1957; 24: 57–63.
5.
O'Neil T and Strganac TW. Nonlinear aeroelastic response – analyses and experiments. In: AIAA 34th Aerospace Sciences Meeting and Exhibit, Reno, NV, 15–18 January 1996, AIAA paper no. 96-0014.
6.
DowellEHTypical section model of an airfoil. In: CurtissHCJrScanlanRHSistoF (eds). A modern course in aeroelasticity, 2nd ed. Dordrecht: Kluwer Academic Publishers, 1989, pp. 12–267.
7.
Dowell EH. Nonlinear aeroelasticity. In: Proceedings of the AIAA 31st structures, structural dynamics, and materials conference. American Institute of Aeronautics and Astronautics, 1990, AIAA paper no. 90-1031, pp.1497–1509.
8.
Crespo Da SilvaMRMZaretzkyLHodgesDH. Effects of approximations on the static and dynamic response of a cantilever with a tip mass. J Solids Struct1991; 27: 565–583.
9.
Patil M. Nonlinear aeroelastic analysis, flight dynamics, and control of a complete aircraft. PhD Thesis, Georgia Institute of Technology, Atlanta, GA, May 1999.
10.
Patil MJ, Hodges HD and Cesnik CES. Nonlinear aeroelastic analysis of aircraft with high aspect ratio wings. In: 39th structures, structural dynamics and materials conference, Reston, VA, 1998, AIAA paper no. 98-1955, pp.2056–2068.
11.
Patil MJ, Hodges DW and Cesnik CES. Nonlinear aeroelasticity and flight dynamics of high-altitude long-endurance aircraft. In: 40th structures, structural dynamics and materials conference, St. Louis, MO, 12–15 April 1999, AIAA paper no. 99-1470.
12.
PatilMJHodgesHDCesnikCES. Nonlinear aeroelasticity and flight dynamics of high altitude long endurance aircraft. J Aircr2001; 38: 88–94.
13.
Patil MJ. Limit cycle oscillations of aircraft due to flutter-induced drag. In: 43rd structures, structural dynamics, and materials conference (AIAA/ASME/ASCE/AHS/ASC), 22–25 April 2002, Denver, CO, AIAA paper no. 2002-1409.
14.
PatilMJHodgesDH. On the importance of aerodynamic and structural geometrical non-linearities in aeroelastic behavior of high-aspect-ratio wings. J Fluids Struct2004; 19: 905–915.
15.
TangDMDowellE. Effects of geometric structural nonlinearity on flutter and limit cycle oscillations of high-aspect-ratio wings. J Fluids Struct2004; 19: 291–306.
Romeo G and Frulla G. HELIPLAT: design of high altitude very-long endurance solar powered platform for telecommunication and earth observation application. In: DASIA 2002, data systems in aerospace, Dublin, Ireland, 13–16 May 2002.
18.
Frulla G. HELIPLAT: structural analysis of high altitude very-long endurance solar powered platform for telecommunication and earth observation applications. In: ICAS-2002 Congress, Toronto, Canada, 8–13 September 2002.
19.
RomeoGFrullaG. HELIPLAT: high altitude very long endurance solar powered UAV for telecommunication and earth observation applications. Aeronaut J2004; 108: 277–293.
20.
FrullaG. Aeroelastic behaviour of a solar-powered high-altitude long endurance unmanned air vehicle (HALE-UAV) slender wing. Proc IMechE, Part G: J Aerospace Engineering2004; 218: 179–188.
21.
Cestino E and Frulla G. Critical aeroelastic behaviour of slender composite wings in an incompressible flow. Chapter 8. In: Composite materials in engineering structures. Hauppauge, NY: Nova Science, 2010.
22.
Romeo G, Frulla G, Cestino E, et al. Shampo: solar hale aircraft for multi payload & operations. In: XVIII Congresso Nazionale AIDAA, Volterra, Italy, 19–22 September 2005.
23.
RomeoGFrullaGCestinoE. Design of a high-altitude long-endurance solar-powered unmanned air vehicle for multi-payload and operations. Proc IMechE, Part G: J Aerospace Engineering2007; 221: 199–216.
FrullaGCestinoEMarzoccaP. Critical behavior of slender wing configurations. Proc IMechE, Part G: J Aerospace Engineering2010; 224: 587–600.
26.
GuoSJLiDCWuJH. Theoretical and experimental study of a piezoelectric flapping wing rotor for micro aerial vehicle. Aerosp Sci Technol2012; 23: 429–438.
27.
DunnmonJAStantonSCMannBP, et al.Power extraction from aeroelastic limit cycle oscillations. J Fluids Struct2011; 27: 1182–1198.
28.
OlivierDMichelinS. Piezoelectric coupling in energy-harvesting fluttering flexible plates: linear stability analysis and conversion efficiency. J Fluids Struct2011; 27: 1357–1375.
29.
BruniCCestinoEFrullaG. Parametric analysis of a fluttering piezoelectric wing. Aircraft Eng Aerosp Technol2016; 88: 382–388.
30.
Bruni C, Gibert J, Frulla G, et al. Energy harvesting from aeroelastic vibrations induced by discrete gust loads. J Intell Mater Syst Struct 2017; 28: 47–62.
31.
Wang Z, Chen PC and Liu DD. Nonlinear aeroelastic analysis for a HALE wing including effects of gust and flow separation. In: Proceedings of the 48th AIAA/ ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, 23-26 April 2007, Honolulu, HI, USA.
32.
Patil MJ and Taylor DJ. Gust response of highly flexible aircraft. In: Proceedings of the 47th IAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, 1-4 May 2006, Newport, Rhode Island, USA.
33.
TuzcuIMarzoccaPCestinoE, et al.Stability and control of a high-altitude-long-endurance UAV. J Guidance Control Dyn2007; 30: 713–721.
34.
Romeo G, Frulla G, Cestino E, et al. Non-linear aeroelastic modeling and experiments of flexible wings. In: Proceedings of the 47th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Newport, RI, 1–4 May 2006, pp.1–15, AIAA paper no. 2006-2186.
35.
CestinoEFrullaGPerottoE, et al.Experimental slender wing model design by the application of aeroelastic scaling laws. J Aerosp Eng2014; 27: 112–120.
36.
TangDDowellEH. Experimental and theoretical study on aeroelastic response of high-aspect-ratio wings. AIAA J2011; 39: 419–429.
37.
CestinoEFrullaGMarzoccaP. A reduced order model for the aeroelastic analysis of flexible wings. SAE Int J Aerosp2013; 6: 447–458.
38.
Cestino E. Design of very-long endurance solar-powered UAV; Politecnico di Torino dottorato in ing. aerospaziale 18° ciclo. Bibl. Nazionale Centrale Firenze Coll.: TDR 2006 06213, 2006.
39.
Bruni C, Cestino E, Frulla G, et al. Nonlinear slender beam-wise schemes for structural behavior of flexible UAS wings. Warrendale, PA: SAE International, 2015.
40.
Bruni C. Analysis of slender piezoelectric wing configurations for energy harvesting: aeroelastic modeling and experimental comparisons. PhD dissertation, Politecnico di Torino, Italy, 2016.
41.
MSC Nastran Quick Reference Guide, 2017.
42.
CassaroMCestinoEFrullaG, et al.Experimental determination of aeroelastic derivatives for small-scale bridge deck. Int J Mech2018, pp. 67–78.
