The aim of this study is to investigate the impact of locust-like wing flexibility which is modelled with Mylar and carbon fibre pultruded rods on aerodynamic performance. An in-house 3D Navier Stokes solver coupled with a structure solver has been used to evaluate passive pitching motion and aerodynamic performance. The study has focused on two effects which are variations in the diameter of root and spar distribution. All wings have been analysed for a prescribed flapping motion in a horizontal plane, with a peak-to-peak stroke amplitude of 120°, flapping frequency of 25 Hz, and Reynolds number of 13,500. The flow has been assumed to be laminar, viscous, and incompressible. The diameter of the wing root segment attached to the leading edge has been varied to control the extent of the passive pitching motion. The effect of spar distribution on the aerodynamic performance of the flexible flapping wing has also been investigated. The results revealed that careful selection of wing root parameters and spars distribution can achieve a passive pitch angle with an amplitude of 45° and the highest power economy of 1.26. Moreover, a comparison of the flexible wing with its rigid counterpart suggested that flexible wings modelled with a simple passive pitching mechanism can be an efficient solution for bio-inspired flapping-wing micro aerial vehicles.
ShyyWAonoHKangC, et al. An introduction to flapping wing aerodynamics. Cambridge: Cambridge University Press, 2013. Vol. 37.
2.
GrasmeyerJKeennonM. Development of the black widow micro air vehicle. In: 39th aerospace sciences meeting and exhibit, 2001, p.127.
3.
MuellerTJDeLaurierJD. Aerodynamics of small vehicles. Annu Rev Fluid Mech2003; 35(1): 89–111.
4.
McMastersJHHendersonML. Low-speed single-element airfoil synthesis. NASA. Langley Res. Center The Sci. and Technol. of Low Speed and Motorless Flight, Pt. 1, 1979.
5.
AonoHChimakurthiSKWuP, et al. A computational and experimental studies of flexible wing aerodynamics. In: 48th AIAA aerospace sciences meeting including the new horizons forum and aerospace exposition, 2010, p.554.
6.
Perez-RosadoAGehlharRDNolenS, et al. Design, fabrication, and characterization of multifunctional wings to harvest solar energy in flapping wing air vehicles. Smart Mater Struct2015; 24(6): 1–15.
7.
de CroonGCHEde ClercqKMERuijsinkR, et al. Design, aerodynamics, and vision-based control of the DelFly. Int J Micro Air Veh2009; 1(2): 71–97.
8.
DengH-BXuY-QChenD-D, et al. On numerical modeling of animal swimming and flight. Comput Mech2013; 52: 1221–1242.
9.
HamamotoMOhtaYHaraK, et al. Application of fluid–structure interaction analysis to flapping flight of insects with deformable wings. Adv Robot2007; 21(1-2): 1–21.
10.
LuaKBLimTTYeoKS. Effect of wing–wake interaction on aerodynamic force generation on a 2D flapping wing. Exp Fluids2011; 51: 177–195.
11.
ShyyWKangCKChirarattananonP, et al. Aerodynamics, sensing and control of insect-scale flapping-wing flight. Proc R Soc A Math Phys Eng Sci2016; 472(2186): 1–37.
12.
KangC. Aerodynamics, scaling, and performance of a flexible flapping wing. Ann Arbor, MI: University of Michigan, 2011.
13.
DuGSunM. Effects of wing deformation on aerodynamic forces in hovering hoverflies. J Exp Biol2010; 213(Pt 13): 2273–2283.
14.
NakataTLiuHTanakaY, et al. Aerodynamics of a bio-inspired flexible flapping-wing micro air vehicle. Bioinspir Biomim2011; 6(4): 1–11.
LeiMLiC. The aerodynamic performance of passive wing pitch in hovering flight. Phys Fluids2020; 32(5): 51902.
17.
WhitneyJPWoodRJ. Aeromechanics of passive rotation in flapping flight. J Fluid Mech2010; 660: 197–220.
18.
ChenYGravishNDesbiensAL, et al. Experimental and computational studies of the aerodynamic performance of a flapping and passively rotating insect wing. J Fluid Mech2016; 791: 1–33.
19.
IshiharaDYamashitaYHorieT, et al. Passive maintenance of high angle of attack and its lift generation during flapping translation in crane fly wing. J Exp Biol2009; 212(Pt 23): 3882–3891.
20.
KangCKShyyW. Scaling law and enhancement of lift generation of an insect-size hovering flexible wing. J R Soc Interface2013; 10(85): 1–11.
21.
HaoJWuJZhangY. Aerodynamic performance of a passive pitching model on bionic flapping wing micro air vehicles. Appl Bionics Biomech2019; 2019: 1–12.
22.
KolomenskiyDRaviSXuR, et al. The dynamics of passive feathering rotation in hovering flight of bumblebees. J Fluid Struct2019; 91: 102628.
MengKZhangWChenW, et al. The design and micromachining of an electromagnetic MEMS flapping-wing micro air vehicle. Microsyst Technol2012; 18: 127–136.
25.
LentinkDJongeriusSRBradshawNL. The scalable design of flapping micro-air vehicles inspired by insect flight. In: FloreanoD.ZuffereyJC.SrinivasanM.EllingtonC. (eds) Flying insects and robots. Berlin, Heidelberg: Springer, 2010, pp.185–205.
26.
WoodRJ. The first takeoff of a biologically inspired at-scale robotic insect. IEEE Trans Robot2008; 24(2): 341–347.
27.
WatmanDFurukawaT. A parametric study of flapping wing performance using a robotic flapping wing. In: 2009 IEEE international conference on robotics and automation, 2009, pp.3638–3643. New York: IEEE.
28.
HsuC-KEvansJVytlaS, et al. Development of flapping wing micro air vehicles-design, CFD, experiment and actual flight. In: 48th AIAA aerospace sciences meeting including the new horizons forum and aerospace exposition, 2010, p.1018. Reston, VA: American Institute of Aeronautics and Astronautics.
29.
NguyenV-QSyaifuddinMParkHC, et al. Characteristics of an insect-mimicking flapping system actuated by a unimorph piezoceramic actuator. J Intell Mater Syst Struct2008; 19(10): 1185–1193.
30.
de CroonGCGroenMADe WagterC, et al. Design, aerodynamics and autonomy of the DelFly. Bioinspir Biomim2012; 7(2): 1–16.
31.
KeennonMKlingebielKWonH. Development of the nano hummingbird: a tailless flapping wing micro air vehicle. In: 50th AIAA aerospace sciences meeting including the new horizons forum and aerospace exposition, 2012, p.588. Reston, VA: American Institute of Aeronautics and Astronautics.
32.
TanakaHShimoyamaI. Forward flight of swallowtail butterfly with simple flapping motion. Bioinspir Biomim2010; 5(2): 1–9.
33.
NguyenQ-VChanWLDebiasiM. An insect-inspired flapping wing micro air vehicle with double wing clap-fling effects and capability of sustained hovering. In: Bioinspiration, biomimetics, and bioreplication2015, 2015, pp.136–146. SPIE.
34.
NanYKarásekMLalamiME, et al. Experimental optimization of wing shape for a hummingbird-like flapping wing micro air vehicle. Bioinspir Biomim2017; 12(2): 026010.
35.
RoshanbinAAltartouriHKarásekM, et al. Colibri: a hovering flapping twin-wing robot. Int J Micro Air Veh2017; 9(4): 270–282.
36.
SaneSPDickinsonMH. The control of flight force by a flapping wing: lift and drag production. J Exp Biol2001; 204(Pt 15): 2607–2626.
37.
UsherwoodJREllingtonCP. The aerodynamics of revolving wings I. Model hawkmoth wings. J Exp Biol2002; 205(Pt 11): 1547–1564.
38.
MittalRDongHBozkurttasM, et al. A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries. J Comput Phys2008; 227(10): 4825–4852.
39.
ChorinAJ. Numerical solution of the Navier-Stokes equations. Math Comput1968; 22(104): 745–762.
40.
TianFBDaiHLuoH, et al. Fluid–structure interaction involving large deformations: 3D simulations and applications to biological systems. J Comput Phys2014; 258: 451–469.
41.
DoyleJF. Guided explorations of the mechanics of solids and structures. Cambridge: Cambridge University Press, 2009.
42.
YoungJLaiJCSGermainC, et al. Simulation and parameter variation of flapping-wing motion based on dragonfly hovering. AIAA J2008; 46(4): 918–924.
43.
LiCDongH. Wake structure and aerodynamic performance of low aspect-ratio revolving plates at low Reynolds number. In: AIAA paper, 2014, vol. 1453, p.2014. Reston, VA: American Institute of Aeronautics and Astronautics.
44.
DaiHLuoHDoyleJF. Dynamic pitching of an elastic rectangular wing in hovering motion. J Fluid Mech2012; 693: 473–499.
45.
ShahzadATianF-BYoungJ, et al. Effects of flexibility on the hovering performance of flapping wings with different shapes and aspect ratios. J Fluid Struct2018; 81: 69–96.
46.
ShahzadATianF-BYoungJ, et al. Effects of wing shape, aspect ratio and deviation angle on aerodynamic performance of flapping wings in hover. Phys Fluids2016; 28(11): 111901.
47.
WoottonRJHerbertRCYoungPG, et al. Approaches to the structural modelling of insect wings. Philos Trans R Soc Lond B Biol Sci2003; 358: 1577–1587.
48.
EnnosAR. The Importance of Torsion in the Design of Insect Wings. J Exp Biol 1 November 1988; 140 (1): 137–160.
49.
ColemanDBenedictMHrishikeshavanV, et al. Design, development and flight-testing of a robotic hummingbird. In: AHS 71st annual forum, 2015, pp. 5–7.
