Skip to main content
Log in

Gravitation-enabled Forward Acceleration during Flap-bounding Flight in Birds

  • Published:
Journal of Bionic Engineering Aims and scope Submit manuscript

Abstract

Flap-bounding, a form of intermittent flight, is often exhibited by small birds over their entire range of flight speeds. Its purpose is unclear during low to medium speed (2 m·s−1–8 m·s−1) flight: aerodynamic models suggest continuous flapping would require less power output and lower cost of transport. To explore its functional significance at low speeds, we measured body trajectory and kinematics of wings and tail of two zebra finches (Taeniopygia guttata) during flights between two perches in a laboratory. The flights consisted of three phases: initial, descending and ascending. Zebra finch first accelerated using continuous flapping, then descended, featuring intermittent bounds. The flight was completed by ascending using nearly-continuous flapping. When exiting bounds in descending phase, they achieved higher velocity than that of pre-bound forward by swinging their body forward similar to pendular motion with conserved mechanical energy. We recorded takeoffs of three black-capped chickadees (Poecile atricapillus) in the wild and also found similar kinematics. Our modeling of power output indicated finch achieved higher velocity (13%) with lower cost of transport (9%) when descending, compared with continuous flapping in previously studied pigeons. Flap-bounding could be useful for unmanned aerial vehicle design by mimicking descending flight to achieve rapid take-off and transition to forward flight.

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. Rayner J M V. Bounding and undulating flight in birds. Journal of Theoretical Biology, 1985, 117, 47–77.

    Article  Google Scholar 

  2. Tobalske B W. Morphology, velocity, and intermittent flight in birds. American Zoologist, 2001, 41, 177–187.

    Google Scholar 

  3. Tobalske B W. Scaling of muscle composition, wing morphology, and intermittent flight behavior in woodpeckers. Auk, 1996, 113, 151–177.

    Article  Google Scholar 

  4. Csicsáky M J. Body-gliding in the zebra finch. Fortschritte der Zoologie, 1977, 24, 275–286.

    Google Scholar 

  5. Rayner J M V, Viscardi P W, Ward S, Speakman J R. Aerodynamics and energetics of intermittent flight in birds. American Zoologist, 2001, 41, 188–204.

    Google Scholar 

  6. Lighthill M J. Introduction to the scaling of aerial locomotion. In: Scale Effects in Animal Locomotion, Academic Press, New York, USA, 1977, 365–404.

    Google Scholar 

  7. Alexander R McN. Optima for Animals, Arnold, London, UK, 1982.

    Google Scholar 

  8. DeJong M J. Bounding Flight in Birds, Ph.D dissertation, University of Wisconsin, USA, 1983.

    Google Scholar 

  9. Ward-Smith A J. Analysis of the aerodynamic performance of birds during bounding flight. Mathematical Biosciences, 1984, 68, 137–147.

    Article  MATH  Google Scholar 

  10. Ward-Smith A J. Aerodynamic and energetic considerations relating to undulating and bounding flight in birds. Journal of Theoretical Biology, 1984, 111, 407–417.

    Article  Google Scholar 

  11. Tobalske B W. Hovering and intermittent flight in birds. Bioinspiration & Biomimetics, 2010, 5, 1–10.

    Article  Google Scholar 

  12. Pennycuick C J. Modelling the Flying Bird, 1st ed., Academic Press, New York, USA, 2008.

    Google Scholar 

  13. Tobalske B W, Peacock W L, Dial K P. Kinematics of flap-bounding flight in the zebra finch over a wide range of speeds. Journal of Experimental Biology, 1999, 202, 1725–1739.

    Google Scholar 

  14. Tobalske B W, Hearn J W D, Warrick D R. Aerodynamics of intermittent bounds in flying birds. Experiments in Fluids, 2009, 46, 963–973.

    Article  Google Scholar 

  15. Sachs G. New modeling approach for bounding flight in birds. Mathematical Biosciences, 2011, 234, 75–83.

    Article  MathSciNet  MATH  Google Scholar 

  16. Sachs G. Wind effects on bounding flight. Journal of Experimental Biology, 2013, 316, 35–41.

    MathSciNet  Google Scholar 

  17. Dial K P, Greene E, Irschick D J. Allometry of behavior. Trends in Ecology & Evolution, 2008, 23, 394–401.

    Article  Google Scholar 

  18. Berg A M, Biewener A A. Wing and body kinematics of takeoff and landing flight in the pigeon (Columba livia). Journal of Experimental Biology, 2010, 213, 1651–1658.

    Article  Google Scholar 

  19. Hedrick T L. Software techniques for two- and three-dimensional kinematic measurements of biological and biomimetic systems. Bioinspiration & Biomimetics, 2008, 3, 34001–34006.

    Article  Google Scholar 

  20. Dunning J B. CRC Handbook of Avian Body Masses, CRC Press, Boca Raton, FL, USA, 1992.

    Google Scholar 

  21. Theriault D H, Fuller N W, Jackson B E, Bluhm E, Evangelista D, Wu Z, Betke M, Hedrick T L. A protocol and calibration method for accurate multi-camera field videography. Journal of Experimental Biology, 2014, 217, 1843–1848.

    Article  Google Scholar 

  22. Bokhorst E V, Kat R D, Elsinga G E, Lentink D. Feather roughness reduces flow separation during low Reynolds number glides of swifts. Journal of Experimental Biology, 2015, 218, 3179–3191.

    Article  Google Scholar 

  23. Rayner J M V. A vortex theory of animal flight. Part 2. The forward flight of birds. Journal of Fluid Mechanics, 1979, 91, 731–763.

    MATH  Google Scholar 

  24. Norberg U M. Vertebrate Flight: Mechanics, Physiology, Morphology, Ecology and Evolution (Zoophysiology), 1st ed., Springer, New York, USA, 1990.

    Book  Google Scholar 

  25. Johnson W. Helicopter Theory, Princeton University Press, Princeton, USA, 1980.

    Google Scholar 

  26. Askew G N, Marsh R L, Ellington C P. The mechanical power output of the flight muscles of blue-breasted quail during take-off. Journal of Experimental Biology, 2001, 204, 3601–3619.

    Google Scholar 

  27. Berg A M, Biewener A A. Kinematics and power requirements of ascending and descending flight in the pigeon (Columba livia). Journal of Experimental Biology, 2008, 211, 1120–1130.

    Article  Google Scholar 

  28. Tobalske B W, Hedrick T L, Dial K P, Biewener A A. Comparative power curves in bird flight. Nature, 2003, 421, 363–366.

    Article  Google Scholar 

  29. Su J Y, Ting S C, Chang Y H, Yang J T. A passerine spreads its tail to facilitate a rapid recovery of its body posture during hovering. Journal of the Royal Society Interface, 2012, 9, 1674–1684.

    Article  Google Scholar 

  30. Bélendez A, Pascual C, Méndez D I, Beléndez T, Neipp C. Exact solution for the non-linear pendulum. Revista Brasileira de Ensino de Física, 2007, 29, 645–648.

    Article  Google Scholar 

  31. Garland T, Bennett A F, Rezende E L. Phylogenetic approaches in comparative physiology. Journal of Experimental Biology, 2005, 208, 3015–3035.

    Article  Google Scholar 

  32. Keennon M, Klingebiel K, Won H, Andriukov A. Development of the nano hummingbird: A tailless flapping wing micro air vehicle. Proceedings of the 50th AIAA Aerospace Sciences Meeting, Nashville, USA, 2012.

    Google Scholar 

  33. Powers C, Mellinger D, Kushleyev A, Kothmann B, Kumar V. Influence of aerodynamics and proximity effects in quadrotor flight. Experimental Robotics, 2013, 88, 289–302.

    Article  Google Scholar 

Download references

Acknowledgments

All procedures involving the animals were approved by the Institutional Animal Care and Use Committee of University of Montana. We thank Anne Davis for assistance with preliminary research that motivated the present study and Mathew Gutierrez and Gaëlle Lefeuvre for assistance with video recording indoors and outdoors, respectively. Supported by NSF CMMI 1234747.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yi Wang.

Electronic supplementary material

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, Y., Tobalske, B.W., Cheng, B. et al. Gravitation-enabled Forward Acceleration during Flap-bounding Flight in Birds. J Bionic Eng 15, 505–515 (2018). https://doi.org/10.1007/s42235-018-0041-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42235-018-0041-9

Keywords

Navigation