Nonlinear Dynamic Modeling and Simulation of an Insect-Like Flapping Wing

Abstract:

The main objective of this paper is to present the modeling and simulation of open loop dynamics of a rigid body insect-like flapping wing. The most important aerodynamic mechanisms that explain the nature of the flapping flight, including added mass, rotational lift and delayed stall, are modeled. Wing flapping kinematics is described using appropriate reference frames and three degree of freedom for each wing with respect to the insect body. In order to simulate nonlinear differential equations of motion, 6DOF model of the insect-like flapping wing is developed, followed by an evaluation of the simulation results in hover condition.

• Periodical: Applied Mechanics and Materials (Volume 555)
• Pages: 3-10
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.555.3
• Online since: June 2014
• Authors: Afshin Banazadeh, Neda Taymourtash
• Keywords: Flapping Flight, Hummingbird, Insect-Like, Modeling, Non-Linear Simulation

References

[1] McMichael, J. M., Francis, M. S., Micro Air Vehicles - Toward a new Dimension in Flight, Tech. rep., Defence Advanced Research Projects Agency TTO Document, (1996).

[2] Shyy, W., et. al. Computational Aerodynamics of Low Reynolds Number Plunging, Pitching and Flexible Wings for MAV Application, 46th AIAA Aerospace Sciences Meeting and Exhibit, Michigan, (2008).

DOI: 10.2514/6.2008-523

[3] Rakotomamonji, T., Ouladsine, M., Moing, T. M., longitudinal modeling and control of a flapping wing micro aerial vehicle, Control Engineering Practice, Vol. 18, pp.679-690, (2010).

DOI: 10.1016/j.conengprac.2010.02.002

[4] Ellington, C., The Aerodynamics of Hovering Insect Flight. I. The Quasi-Steady Analysis, Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences, Vol. 305, No. 1122, 1984, pp.1-15.

DOI: 10.1098/rstb.1984.0049

[5] Ellington, C., The Aerodynamics of Hovering Insect Flight. III. Kinematics, Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences, Vol. 305, No. 1122, 1984, pp.41-78.

DOI: 10.1098/rstb.1984.0051

[6] Orlowski, C. T., Girard, A. R., Dynamics, Stability, and Control Analyses of Flapping Wing Micro-Air Vehicle, Progress in Aerospace Sciences, Vol. 51, 2012, pp.18-30.

DOI: 10.1016/j.paerosci.2012.01.001

[7] Sanjay, P. S., and Dickinson, M. H., The Control of Flight Force by a Flapping Wing: Lift and Drag Production, Journal of Experimental Biology, Vol. 204, 2001, pp.2607-2625.

DOI: 10.1242/jeb.204.15.2607

[8] Dickinson, M. H., Lehmann, F.O., Sane. S.P., Wing Rotation and the Aerodynamic Basis of Insect Flight, Science, Vol. 199, 1999, pp.1954-1860.

DOI: 10.1126/science.284.5422.1954

[9] Khodabakhsh, H., Banazadeh, A., Multi-Objective Genetic Algorithm for Hover Stabilization of an Insect-Like Flapping Wing, Applied Mechanics and Materials, Vol. 332, 2013, pp.344-355.

DOI: 10.4028/www.scientific.net/amm.332.50

[10] Sane S. P. and Dickinson M. H., 'The Aerodynamic Effects of Wing Rotation and a Revised Quasi-Steady Model of Flapping Flight, J. Exp. Biol. Vol. 205, 2002 pp.1087-1096.

DOI: 10.1242/jeb.205.8.1087

[11] Shyy, W., Lian, Y., Tang, J., Viieru, D., Liu, H., Aerodynamics of low Reynolds number flyers, NewYork, NY: Cambridge University Press; (2008).

DOI: 10.1017/cbo9780511551154

[12] Karasek, M., Preumont, A., Simulation of Flight Control of a Hummingbird Like Robot Near Hover, 18th International Confrence Engineering Mechanics 2012, Svratka, Czech Republic, pp.607-619, May (2012).