F. Y. Hsiao This email address is being protected from spambots. You need JavaScript enabled to view it.1, T. M. Yang1 and W. C. Lu2

1Department of Aerospace Engineering, Tamkang University, Tamsui, Taiwan 251, R.O.C.
2Department of Aeronautical Engineering, National Formosa University, Yunlin, Taiwan 632, R.O.C.


 

Received: April 11, 2012
Accepted: May 18, 2012
Publication Date: September 1, 2012

Download Citation: ||https://doi.org/10.6180/jase.2012.15.3.03  


ABSTRACT


The dynamics of a flapping-wing micro aerial vehicle (MAV) is studied in this paper. The MEMS Laboratory in Tamkang University has been developing flapping-wing MAVs for several years. Based on the developed flapping-wing MAV, the dynamics is studied and compared with flight test data. For a flapping wing, the average aerodynamic forces over one flapping period are usually formulated as a function of advance ratio. In this paper the averaging theory is applied to show the validity of this method. Consequently, the dynamics of a flapping-wing MAV longer than a flapping period can be analyzed using the same methodology as what we have done to a fixed-wing aircraft. Physical parameters are also obtained using experiment data, or through computer aid design programs. With the developed model and found parameters, numerical simulations of potential motions are proposed. Although several papers have discussed similar topics, comparing the numerical simulation with flight test data demonstrate the validity of our assumptions and derivations. The developed model can be further utilized in flight control and autonomous flight in the future.


Keywords: Flapping-Wing MAV, Flight Dynamics, Advance Ratio, Aerodynamics


REFERENCES


  1. [1] Norberg, U. M., Vertebrate Flight: Mechanics, Physiology, Morphology Ecology and Evolution, SpringerVerlag (1990).
  2. [2] Yang, L.-J., Hsu, C.-K., Ho, J.-Y. and Feng, C.-K., “Flapping Wings with PVDF Sensors to Modify the Aerodynamic Forces of a Micro Aerial Vehicle,” Sensors and Actuators A: Physical, Vol. 139, pp. 95103 (2007).
  3. [3] Yang, L.-J., Hsu, C.-K., Han, H.-C. and Miao, J.-M., “A Light Flapping Micro-Aerial-Vehicle Using Electrical Discharge Wire Cutting Technique,” Journal of Aircraft, Vol. 46, pp. 18661874 (2009).
  4. [4] Yang, L.-J., Kuo, A.-F. and Hsu, C.-K., “Wing Stiffness on Light Flapping Micro Aerial Vehicles,” Journal of Aircraft, Vol. 49, pp. 423431 (2012).
  5. [5] Yang, L.-J., Kao, C.-Y. and Huang, C.-K., “Development of Flapping Ornithopters by Precision Injection Molding,” Applied Mechanics and Materials, Vol. 163, pp. 125132 (2012).
  6. [6] Hsu, C. K., The Preliminary Design, Fabrication, and Testing of Flapping Micro Aerial Vehicles, Ph.D. Dissertation, Tamkang University (2008).
  7. [7] Dickinson, M. H., Fritz-Olaf Lehmann, F. and Sanjay P. Sane, S. P., “Wing Rotation and the Aerodynamic Basis of Insect Flight,” Science, Vol. 284, pp. 1954 1960 (1999).
  8. [8] Yan, J., Wood, R. J., Avadhanula, S. S. and Fearing, R. S. M., “Towards Flapping Wing Control for a Micromechanical Flying Insect,” IEEE International Conference on Robotics and Automation (2001).
  9. [9] Kim, D. K. and Han, J. H., “Smart Flapping Wing Using Macro-Fiber Composite Actuators,” Proceeding of Smart Structures and Materials 2006: Smart Structures and Integrated Systems, Vol. 6173, 61730F (2006).
  10. [10] Rakotomamonjy, T., Ouladsine, M. and Le Moing, T., “Modelization and Kinematics Optimization for a Flapping-Wing Microair Vehicle,” Journal of Aircraft, Vol. 44, pp. 217231 (2007).
  11. [11] Khan, Z. A. and Agrawal, S. K., “Control of Longitudinal Flight Dynamics of a Flapping-Wing Micro Air Vehicle Using Time-Averaged Model and Differential Flatness Based Controller,” Proceedings of the 2007 American Control Conference, pp. 52845289 (2007).
  12. [12] Schenato, L., Campolo, D. and Sastry, S., “Controllability Issuse in Flapping Flight for Biomimic MAVs,” Proceedings of the 42nd IEEE Conference on Decision and Control, pp. 64416447 (2003).
  13. [13] Phillips, W. F., Mechanics of Flight, John Wiley & Sons (2004).
  14. [14] Sun, M., Wang, J. and Xiong, Y., “Dynamic Flight Stability of Hovering Insects,” Acta Mechanica Sinica, Vol. 23, pp. 231246 (2007).
  15. [15] Dickinson, M. H., Lehmann, F. O. and Sane, S. P., “Wing Rotation and the Aerodynamic Basis of Insect Flight,” Science, Vol. 284, pp. 19541960 (1999).
  16. [16] Yang, L.-J., Hsu, C.-K., Hsiao, F.-Y. and Shen, Y.-K., “A Micro-Aerial-Vehicle (MAV) with Figure-of-Eight Flapping Induced by Flexible Wing Frames,” 47th AIAA Aerospace Sciences Meeting, Orlando, Florida, paper no. AIAA 2009-0875 (2009).
  17. [17] Yang, L.-J., Kao, M.-W., Hsu, C.-K., Liao, C.-W., Huang, I.-C. and Fang, P.-T., “A Biomimetic Figureof-Eight Flapping of Micro Aerial Vehicles (MAVS) Illuminated by LEDS,” Asia-Pacific Conference on Transducers and Micro/Nanotechnology (APCOT 2008), Tainan, Taiwan (2008).