Skip to main content
Log in

Dynamic flight stability of a model dronefly in vertical flight

  • Research Paper
  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

The dynamic flight stability of a model dronefly in hovering and upward flight is studied. The method of computational fluid dynamics is used to compute the stability derivatives and the techniques of eigenvalue and eigenvector used to solve the equations of motion. The major finding is as following. Hovering flight of the model dronefly is unstable because of the existence of an unstable longitudinal and an unstable lateral natural mode of motion. Upward flight of the insect is also unstable, and the instability increases as the upward flight speed increases. Inertial force generated by the upward flight velocity coupled with the disturbance in pitching angular velocity is responsible for the enhancement of the instability.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Sane, S.P.: The aerodynamics of insect flight. J. Exp. Biol. 206, 4191–4208 (2003)

    Article  Google Scholar 

  2. Wang, Z.J.: Dissecting insect flight. Annu. Rev. Fluid Mech. 37, 183–210 (2005)

    Article  Google Scholar 

  3. Sun, M.: High-lift generation and power requirements of insect flight. Fluid Dynamics Research 37, 21–39 (2005)

    Article  MATH  Google Scholar 

  4. Shyy, W., Aono, H., Chimakurthi, S.K., et al.: Recent progress in flapping wing aerodynamics and aeroelasticity. Prog. Aerosp. Sci. 46, 284–327 (2010)

    Article  Google Scholar 

  5. Taylor, G.K., Thomas, A.L.R.: Dynamic flight stability in the desert locust Schistocerca gregaria. J. Exp. Biol. 206, 2803–2829 (2003)

    Article  Google Scholar 

  6. Sun, M., Xiong, Y.: Dynamic flight stability of a hovering bumblebee. J. Exp. Biol. 208, 447–459 (2005)

    Article  Google Scholar 

  7. Zhang, Y. L., Sun, M.: Dynamic flight stability of hovering model insects: Theory vs. simulation using equations of motion coupled with Navier-Stokes equations. Acta Mech. Sinica 26, 509–520 (2010).

    Article  MATH  Google Scholar 

  8. Liu, H., Nakata, T., Gao, N., et al.: Micro air vehicle-motivated computational biomechanics in bio-flights: Aerodynamics, flight dynamics and maneuvering stability. Acta Mech. Sin. 26, 863–879 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  9. Sun, M.: Insect flight dynamics: Stability and control. Rev. Mod. Phys. 86, 615–646 (2014)

    Article  Google Scholar 

  10. Sun, M., Wang, J.K., Xiong, Y.: Dynamic flight stability of hovering insects. Acta Mech. Sin. 23, 231–246 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  11. Zhang, Y.L., Sun, M.: Dynamic flight stability of a hovering model insect: Lateral motion. Acta Mech. Sin. 26, 175–190 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  12. Faruque, I., Humbert, J.S.: Dipteran insect flight dynamics. Part 1: Longitudinal motion about hover. J. Exp. Biol. 264, 538–552 (2010)

    MathSciNet  Google Scholar 

  13. Faruque, I., Humbert, J.S.: Dipteran insect flight dynamics. Part 2: Lateral-directional motion about hover. J. Exp. Biol. 265, 306–313 (2010)

    Google Scholar 

  14. Cheng, B., Deng, X.Y.: Translational and rotational damping of flapping flight and its dynamics and stability at hovering. IEEE Transactions on Robotics 27, 849–864 (2011)

    Article  Google Scholar 

  15. Xiong, Y., Sun, M.: Dynamic flight stability of a bumble bee in forward flight. Acta Mech. Sin. 24, 25–36 (2008)

    Article  MATH  Google Scholar 

  16. Xu, N., Sun, M.: Lateral dynamic flight stability of a model bumblebee in hovering and forward flight. Journal of Theoretical Biology 319, 102–119 (2013)

    Article  Google Scholar 

  17. Etkin, B., Reid, L.D.: Dynamics of Flight: Stability and Control. John Wiley & Sons, INC, New York (1996)

    Google Scholar 

  18. Liu. Y.P., Sun, M.: Wing kinematics measurement and aerodynamics of hovering drone-flies. J. Exp. Biol. 211, 2014–2025 (2008)

    Article  Google Scholar 

  19. Shen, C., Sun, M.: Power requirement of vertical flight in a model dronefly. (submitted, 2014)

    Google Scholar 

  20. Sun, M., Tang, J.: Unsteady aerodynamic force generation by a model fruit fly wing in flapping motion. J. Exp. Biol. 205, 55–70 (2002)

    Google Scholar 

  21. Rogers, S.E., Kwak, D., Kiris, C.: Numerical solution of the incompressible Navier-Stokes equations for steady-state and dependent problems. AIAA J. 29, 603–610 (1991)

    Article  Google Scholar 

  22. Sun, M., Yu, X.: Aerodynamic force generation in hovering flight in a tiny insect. AIAA Journal 44, 1532–1540 (2006)

    Article  Google Scholar 

  23. Yu, X., Sun, M.: A computational study of the wing-wing and wing-body interactions of a model insect. Acta Mech. Sin. 25, 421–431 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  24. Aono, H., Liang, F., Liu, H.: Near- and farfield aerodynamics in insect hovering flight: and integrated computational study. J. Exp. Biol. 211, 239–257 (2008)

    Article  Google Scholar 

  25. Liang, B., Sun, M.: Aerodynamic interactions between wing and body of a model insect in forward flight and maneuvers. J. Exp. Biol. 10, 19–27 (2013)

    Google Scholar 

  26. Ellington, C.P.: The aerodynamics of hovering insect flight. II. Morphological parameters. Philosophical Transactions of the Royal Society of London B: Biological Sciences 305, 17–40 (1984)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mao Sun.

Additional information

The project was supported by the National Natural Science Foundation of China (11232002).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shen, C., Sun, M. Dynamic flight stability of a model dronefly in vertical flight. Acta Mech Sin 30, 828–838 (2014). https://doi.org/10.1007/s10409-014-0110-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10409-014-0110-1

Keywords

Navigation