3D Numerical Simulation of a Hovering Hummingbird-inspired Flapping Wing with Dynamic Morphing

Document Type : Regular Article

Authors

School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, PR China

10.47176/jafm.15.03.33365

Abstract

Three-dimensional numerical simulations are performed to examine the effects of dynamic wing morphing of a hummingbird-inspired flexible flapping wing on its aerodynamic performance in hovering flight. The range analysis and variation analysis in the orthogonal experiment are conducted to assess the significance level of various deformations observed in the hummingbird wings on wing aerodynamic performance. It has been found that both camber and twist significantly can affect lift, and twist has an even higher significant impact on lift efficiency. Spanwise bending, whether out-of-stroke-plane or in-stroke-plane, has a negligible impact on lift and efficiency, and the in-stroke-plane bending can cause lift to decrease to an extent. Optimal parameters for determining the wing deformations are selected and tested to validate the conclusions drawn in the analysis for the results in orthogonal experiment. Through a comparison study between the optimized wings and the rigid wing, it is found that although the wing flexibility can cause the net force to decrease, the flexible wing used less energy to bring the net force closer to the vertical direction, thereby improving the lift efficiency. This study provides an aerodynamics understanding of the efficiency improvement of the hummingbird-inspired flexible flapping wing.

Keywords


Altshuler, D. L., M. Princevac, H. Phan and J. Lozano (2009). Wake patterns of the wings and tail of hovering hummingbirds. Experiments in Fluids 46(5), 835-846.##
Bhattacharjee, D., A. A. Paranjape and R. S. Pant (2019). Optimization of the spanwise twist of a flapping wing for bird-sized aircraft using a quasi-steady aerodynamic model. International Journal of Aeronautical and Space Sciences 20, 571-583.##
Chin D. D and Lentink D (2016). Flapping wing aerodynamics: from insects to vertebrates. Journal of Experimental Biology 219(7),920-932.##
Coleman, D., M. Benedict, V. Hrishikeshavan and I. Chopra (2015, May). Design, Development and Flight-Testing of a Robotic Hummingbird. American Helicopter Society 71st Annual Forum. Virginia Beach, Virginia.##
Du, G. and M. Sun (2008). Effects of unsteady deformation of flapping wing on its aerodynamic forces. Applied Mathematics and Mechanics 29(6), 731-743.##
Gehrke, A. (2021). Phenomenology and scaling of optimal flapping wing kinematics. Bioinspiration & Biomimetics 16(2), 026016-1~19.##
Gehrke, A., G. Guyon-Crozier and K. Mulleners (2018). Genetic algorithm based on optimization of wing rotation in hover. Fluids 3(3), 59.##
Keennon, M., K. Klingebiel and H. Won (2012, Jan). 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. Nashville, Tennessee.##
Kim, J. K. and J. H. Han (2014). A multibody approach for 6-DOF flight dynamics and stability analysis of the hawkmoth Manduca sexta. Bioinspiration & biomimetics 9(1), 016011-1~21.##
Lua, K. B., Y. J. Lee and T. T. Lim (2017). Water-treading motion for three-dimensional flapping wings in hover. AIAA Journal 55(8), 1-14.##
Masateru, M., N. Toshiyuki, K. Ikuo, T. Hiroto and L. Hao (2017). Quantifying the dynamic wing morphing of hovering hummingbird. Royal Society Open Science 4(9), 170307-1~28.##
Nan, Y., M. Karásek, M. E. Lalami and A. Preumont (2017). Experimental optimization of wing shape for a hummingbird-like flapping wing micro air vehicle. Bioinspiration & Biomimetics 12(2), 1-16.##
Noyon, T. A., W. B. Tay, B. Oudheusden and H. Bijl (2014). Effect of chordwise deformation on unsteady aerodynamic mechanisms in hovering flapping flight. International Journal of Micro Air Vehicles 6(4), 265-277.##
Phan, H. V., Q. T. Truong and H. C. Park (2017). An experimental comparative study of the efficiency of twisted and flat flapping wings during hovering flight. Bioinspiration and Biomimetics 12(3), 036009-1~13.##
Phan, H. V., Q. T. Truong, T. Au and H. C. Park (2016a). Optimal flapping wing for maximum vertical aerodynamic force in hover: twisted or flat? Bioinspiration & Biomimetics 11(4), 046007-1~14.##
Phan, H. V., T. Au and H. C. Park (2016b). Clap-and-fling mechanism in a hovering insect-like two-winged flapping-wing micro air vehicle. Royal Society Open Science 3(12), 160746-1~18.##
Phan, H. V. and H. C. Park (2019). Insect-inspired, tailless, hover-capable flapping-wing robots: Recent progress, challenges, and future directions. Progress in Aerospace Sciences, 111:100573.##
Reid, H., H. Zhou, M. Maxcer, R. K. Peterson and M. Jankauski (2021). Toward the design of dynamically similar artificial insect wings. International Journal of Micro Air Vehicles 13, 1-11.##
Roccia, B. A., S. Preidikman, M. L. Verstraete and D. T. Mook (2017). Influence of Spanwise Twisting and Bending on Lift Generation in MAV-Like Flapping Wings. Journal of Aerospace Engineering 30(1), 04016079-1~15.##
Sane, S. P. (2003). The aerodynamics of insect flight. Journal of Experimental Biology 206(23), 4191-4208.##
Shyy, W., C-K. Kang, P. Chirarattananon, S. Ravi and H. Liu (2016). Aerodynamic, sensing and control of insect-scale flapping-wing flight. Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences 472, 20150712-1~37.##
Shyy, W., H. Aono, S. K. Chimakurthi, P. Trizila, C.-K. Kang, C. E. S. Cesnik and H. Liu (2010). Recent progress in flapping wing aerodynamics and aeroelasticity. Progress in Aerospace Science 46(7), 284-327.##
Song, J., H. Luo and T. L. Hedrick (2014). Three-dimensional flow and lift characteristics of a hovering ruby-throated hummingbird. Journal of the Royal Society Interface 11(98), 20140541-1~12.##
Tanaka, H., H. Suzuki, I. Kitamura, M. Maeda and H. Liu. (2013, Nov). Lift generation of hummingbird wing models with flexible loosened membranes. In 2013 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Tokyo, Japan.##
Tobalske, B. W., D. R. Warrick, C. J. Clark, and D. R. Powers (2007). Three-dimensional kinematics of hummingbird flight. Journal of Experimental Biology 210(13), 2368-2382.##
Truong, Q. T., Q. V. Nguyen, V. T. Truong, H. C. Park and N. S. Goo (2011). A modified blade element theory for estimation of forces generated by a beetle-mimicking flapping wing system. Bioinspiration & Biomimetics 6(3), 036008-1~11.##
Walker, S. M., A. Thomas and G. K. Taylor (2009). Deformable wing kinematics in the desert locust: how and why do camber, twist and topography vary through the stroke? Journal of the Royal Society Interface 6(38), 735-747.##
Wolf M, Ortega-Jimenez V. M and Dudley R (2013). Structure of the vortex wake in hovering Anna's hummingbirds (Calypte anna). Proceedings of the Royal Society B: Biological Sciences 280(1773), 1-7.##
Xuan, H., J. Hu, Y. Yu and J. Zhang (2020). Recent progress in aerodynamic modeling methods for flapping flight. AIP Advances 10(2), 020701-1~10.##
Yang, S. and W. Zhang (2015). Numerical analysis of the three-dimensional aerodynamics of a hovering rufous hummingbird (selasphorus rufus). Acta Mechanica Sinica 31(6), 931-943.##
Zhu, H. and M. Sun (2017). Unsteady aerodynamic force mechanisms of a hoverfly hovering with a short stroke-amplitude. Physics of Fluids 29(8), 081901-1~10.##
Volume 15, Issue 3 - Serial Number 64
May and June 2022
Pages 873-888
  • Received: 14 September 2021
  • Revised: 12 January 2022
  • Accepted: 15 January 2022
  • First Publish Date: 24 March 2022