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Acta Mechanica Sinica

, Volume 24, Issue 1, pp 25–36 | Cite as

Dynamic flight stability of a bumblebee in forward flight

  • Yan Xiong
  • Mao Sun
Research Paper

Abstract

The longitudinal dynamic flight stability of a bumblebee in forward flight is studied. The method of computational fluid dynamics is used to compute the aerodynamic derivatives and the techniques of eigenvalue and eigenvector analysis are employed for solving the equations of motion. The primary findings are as the following. The forward flight of the bumblebee is not dynamically stable due to the existence of one (or two) unstable or approximately neutrally stable natural modes of motion. At hovering to medium flight speed [flight speed u e =  (0–3.5) m s−1; advance ratio J =  0–0.44], the flight is weakly unstable or approximately neutrally stable; at high speed (u e =  4.5 m s−1; J =  0.57), the flight becomes strongly unstable (initial disturbance double its value in only 3.5 wingbeats).

Keywords

Bumblebee Dynamic stability Forward flight Navier–Stokes simulation Natural modes of motion 

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References

  1. 1.
    Ellington C.P., van den Berg C., Willmott A.P., Thomas A.L.R. (1996). Leading edge vortices in insect flight. Nature 347: 472–473 CrossRefGoogle Scholar
  2. 2.
    Dickinson M.H., Lehman F.O. and Sane S.P. (1999). Wing rotation and the aerodynamic basis of insect flight. Science 284: 1954–1960 CrossRefGoogle Scholar
  3. 3.
    Sun M. and Tang J. (2002). Unsteady aerodynamic force generation by a model fruit fly wing in flapping motion. J. Exp. Biol. 205: 55–70 Google Scholar
  4. 4.
    Taylor G.K. and Thomas A.L.R. (2003). Dynamic flight stability in the desert locust Schistocerca gregaria. J. Exp. Biol. 206: 2803–2829 CrossRefGoogle Scholar
  5. 5.
    Sun M. and Xiong Y. (2005). Dynamic flight stability of a hovering bumblebee. J. Exp. Biol. 208: 447–459 CrossRefGoogle Scholar
  6. 6.
    Sun M., Wang J.K. and Xiong Y. (2007). Dynamic flight stability of hovering insects. Acta Mech. Sin. 23(3): 231–246 CrossRefMathSciNetGoogle Scholar
  7. 7.
    Dudley R. and Ellington C.P. (1990). Mechanics of forward flight in bumblebees. I. Kinematics and morphology. J. Exp. Biol. 148: 19–52 Google Scholar
  8. 8.
    Etkin B. (1972). Dynamics of Atmospheric Flight. Wiley, New York Google Scholar
  9. 9.
    Sun M. and Yu X. (2006). Aerodynamic force generation in hovering flight in a tiny insect. AIAA J. 44: 1532–1540 CrossRefGoogle Scholar
  10. 10.
    Yu, X.: Studies of the hovering flight in a tiny insect and insect wing/wing and wing/body interactions. Ph.D. thesis, School of Aeronautic Science and Engineering, Beihang University, Beijing (2004)Google Scholar
  11. 11.
    Ellington C.P. (1984). The aerodynamics of hovering insect flight. II. Morphological parameters. Phil. Trans. R. Soc. Lond. B 305: 17–40 CrossRefGoogle Scholar
  12. 12.
    Sun M. and Wu J.H. (2003). Aerodynamic force generation and power requirements in forward flight in a fruit fly with modeled wing motion. J. Exp. Biol. 206: 3065–3083 CrossRefGoogle Scholar
  13. 13.
    Wu J.H. and Sun M. (2004). Unsteady aerodynamic forces of a flapping wing. J. Exp. Biol. 207: 1137–1150 CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Institute of Fluid MechanicsBeihang UniversityBeijingChina

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