Abstract
In this study, an iterative design window (DW) search using nonlinear dynamic simulation was proposed for polymer micromachined flapping-wing nano air vehicles (FWNAVs) that can satisfy both nonlinear and unsteady design requirements, which are contradictory to each other. The DW is defined as an existing area of satisfactory solutions in the design parameter space. The present FWNAVs have a complete 2.5-dimensional structure such that they can be fabricated using polymer micromachining. The micro-wing of our FWNAVs has been designed using morphological and kinematic parameters of an actual dipteran insect. Finally, using our method, we found the DW that allowed miniaturization of the design down to 10 mm while satisfying all the design requirements. Our findings demonstrate the possibility of further miniaturizing FWNAVs down to the size of small flying insects.
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References
Amendola, G., et al.: Preliminary design process for an adaptive winglet. Int. J. Mech. Eng. Robot. Res. 7, 83–92 (2018)
Bathe, K.J.: Finite Element Procedures. Prentice-Hall (1996)
Bontemps, A., et al.: “Modeling and evaluation of power transmission of flapping wing nano air vehicle”. Proceedings of the IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, pp. 1−6. September 2014
Cao, C., Burgess, S., Conn, T.: Toward a dielectric elastomer resonator driven flapping-wing micro air vehicle. Front. Robot. AI 5, 137–147 (2019)
Ellington, C.P.: The aerodynamics of hovering insect flight. III. kinematics. Philos. Transact. r. Soc. Lond. 305, 41–78 (1984)
Ennos, A.R.: The Kinematics and aerodynamics of the free flight of some diptera. J. Exp. Biol. 142, 49–85 (1989)
Galinski, C.: Influence of MAV characteristics on their applications. Aviation 9, 16–23 (2005)
Gong, D.H., Lee, D.W., Shin, S.J.: “Design and experiment of string-based flapping mechanism and modulized trailing edge control system for insect-like FWMAV”. Proceedings of American Institute of Aeronautics and Astronautics SciTech forum, pp. 13. January 2018
https://www.toray.jp/plastics/en/amilan/technical/tec006.html
Hu, J.H., Sun, M.: Unsteady aerodynamic forces of a flapping wing. J. Exp. Biol. 207, 1137–1150 (2004)
Ishihara, D.: Role of Fluid-Structure interaction in generating the characteristic tip path of a flapping flexible wing. Phys. Rev. E 98, 032411 (2018)
Ishihara, D.: Computational approach for the fluid-structure interaction design of insect-inspired micro flapping wings. Fluids 7(1), 26 (2022)
Ishihara, D., Horie, T.: Fluid structural interaction modeling of insect flight. Transact. Jpn. Soc. Mech. Eng. 72(718), 1410–1417 (2006)
Ishihara, D., Horie, T.: Passive mechanism of pitch recoil in flapping insect wings. Bioinspir. Biomim. 12, 016008–016022 (2016)
Ishihara, D., Jeong, M.J., Yoshimura, S., Yagawa, G.: Design window search using continuous evolutionary algorithm and clustering –its application to shape optimization of microelectrostatic actuator. Comput. Struct. 80, 2469–2481 (2002)
Ishihara, D., Horie, T., Denda, M.: A Two-dimensional computational study on the fluid-structure interaction cause of wing pitch changes in dipteran flapping flight. J. Exp. Biol. 212, 1–10 (2009)
Ishihara, D., Horie, T., Niho, T.: An Experimental and three-dimensional computational study on the aerodynamic contribution to the passive pitching motion of flapping wings in hovering flies. Bioinspir. Biomim. 9, 046009–046022 (2014)
Ishihara, D., Yokota, J., Onishi, M., Niho, T., Horie, T.: A shape simplification modeling of the cambering in insect’s flapping wings using beam and shell. Transact. Jpn. Soc. Comput. Eng. Sci 2018, 20180018 (2018)
Ishihara, D., Ohira, N., Takagi, M., Murakami, S., Horie, T.: “Fluid-structure interaction design of insect-like micro flapping wing”, Proceedings of VII International Conference on Computational Methods for coupled problems in science and Engineering, pp. 870–875. June 2017
Ishihara, D., Murakami, S., Ohira, N., Ueo, J., Takagi, M.: “Polymer micromachined transmission for insect-inspired flapping-wing nano air vehicle”, Proceedings of the 15th Annual IEEE International Conference on Nano/Micro Engineered and Molecular System, pp. 176–179. September 2020
Jafferies, N.T., Helbing, E.F., Karpelson, M., Wood, R.J.: Untethered flight of an insect-inspired sized flapping-wing microscale aerial vehicle. Nature 570, 491–495 (2019)
Jo, D., Kwon, Y.: Vertical takeoff and landing wing developed for long distance flight and stable transit flight. Int. J. Mech. Eng. Robot. Res. 8, 797–802 (2019)
Lau, G.K., Lim, H.T., Teo, J.Y., Chin, Y.W.: Lightweight mechanical amplifiers for rolled dielectric elastomer actuators and their integration with bio-inspired wing flappers. Smart Mater. Struct. 23, 025021–025033 (2014)
Liu, Y., Sun, M.: Wing kinematics measurement and aerodynamics of hovering droneflies. J. Exp. Biol. 211, 2014–2025 (2008)
Liu, Z., Yan, X., Qi, M., Zhang, X., Lin, L.: Low-voltage electromagnetic actuators for flapping-wing micro aerial vehicles. Sens. Actuators A Phys. 265, 1–9 (2017)
Ma, K.Y., Chirarattananon, P., Fuller, S.B., Wood, R.J.: Controlled flight of a biologically inspired, insect-scale robot. Science 340, 603–607 (2013)
Meng, K., et al.: The design and micromachining of an electromagnetic MEMS flapping-wing micro air vehicle. Microsyst. Technol. 18, 127–136 (2012)
Murakami, S., Ishihara, D., Araki, M., Horie, T., Ohira, N., Ito, T.: Microfabrication of hybrid structure composed of rigid silicon and flexible polyimide membranes. Micro Nano Lett. 12, 913–915 (2017)
Oonishi, M., Ishihara, D.: Performance evaluation of the pixel wing model for the insect wing’s camber. J. Adv. Simul. Sci. Eng. 8(2), 163–172 (2021)
Petricca, L., Ohlckers, P., Grinde, C.: Micro-and nano-air vehicles: state of the art. Int. J. Aerosp. Eng. 2011, 214549–214565 (2011)
Pilkey, W.D.: Peterson’s Stress Concentration Factors. Wiley (1997)
Ramegowada, P.C., Ishihara, D., Niho, T., Horie, T.: Performance evaluation of numerical finite element coupled algorithms for structure- electric interaction analysis of MEMS piezoelectric actuator. Int. J. Comput. Methods 16, 1850106–1850133 (2019)
Rashmikant., Ishihara, D., Suetsugu, R., Ramegowada, P.C.: “One-wing polymer micromachined transmission for insect-inspired flapping-wing nano air vehicle”. Engineering Research Express, vol. 3, pp. 045006–25. October 2021
Rashmikant., Ishihara, D., Suetsugu, R., Murakami, S., Ramegowada, P.C.: “Improved design of polymer micromachined transmission for flapping-wing nano air vehicle”, Proceedings of the 16th Annual IEEE International Conference on Nano/Micro Engineered and Molecular System, April 2021
Roll, J.A., Cheng, B., Deng, X.: “Design, fabrication, and experiments of an electromagnetic actuator for flapping wing micro air vehicles”. Proceedings of the IEEE International Conference on Robotics and Automation, pp. 809–815. October 2013
Steltz, E., Avadhanula, S., Fearing, R.S.: “High lift force with 275 Hz wing beat in MFI”, Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems. pp. 3993–3998. October 2007
Ucgun, H., Yuzgec, U., Bayilmis, C.: A review on applications of rotary-wing unmanned aerial vehicle charging stations. Int. J. Adv. Robot. Syst. 18, 1–20 (2021)
Usman, M., Maqsood, A., Mulkana, S.R., Riaz, R.: Gap effect on flight performance and longitudinal stability of biplane micro air vehicles. Int. J. Mech. Eng. Robot. Res. 7, 635–642 (2018)
Wang, Q.M., Cross, L.E.: Performance analysis of piezoelectric cantilever bending actuator. Ferroelectrics 215, 187–213 (1998)
Wood, R.J.: The first takeoff of a biologically inspired at-scale robotic insect. IEEE Trans. Rob. 24, 341–347 (2008)
Xiao, S., Hu, K., Huang, B., Deng, H., Ding, X.: A review of research on the mechanical design of hoverable flapping wing micro-air vehicles. J. Bionic. Eng. 18, 1235–1254 (2021)
Yan, X., Qi, M., Lin, L.: “Self-lifting artificial insect wings via electrostatic flapping actuators”. Proceedings of the 28th IEEE international conference on micro electro mechanical systems, pp. 22–25. January 2015
Zou, Y., Zhang, W.P., Zhang, Z.: Liftoff of an electromagnetically driven insect-inspired flapping-wing robot. IEEE Trans. Robot. 32, 1285–1289 (2016)
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This work was supported by the Japan Society for the Promotion of Science, KAKENHI Grant Number 20H04199. We appreciate the support from Toray Industries, Inc.
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Rashmikant, Ishihara, D. Iterative design window search for polymer micromachined flapping-wing nano air vehicles using nonlinear dynamic analysis. Int J Mech Mater Des 19, 407–429 (2023). https://doi.org/10.1007/s10999-022-09635-4
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DOI: https://doi.org/10.1007/s10999-022-09635-4