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Stabilization of Flapping-of-Wings Flight of a Butterfly, Considering Wakes

  • Kei Senda
  • Masakazu Sawamoto
  • Masahiko Kitamura
  • Tsuyoshi Tanaka

Abstract

This paper studies the flapping-of-wings flight of a butterfly, which is rhythmic and cyclic in motion. The objective is to clarify the principle of stabilization of the flapping-of-wings flight. For this purpose, an experimental system with a low-speed wind tunnel is constructed for fundamental data of flapping-of-wings motion, where the system measures the aerodynamic force and the motion simultaneously using a measure and an optical measurement system. A dynamics model of a butterfly is derived by Lagrange’s method, where the butterfly is considered as a rigid body system. For the aerodynamic forces, a lumped-vortex method and a panel method are applied. Validity of the mathematical models is examined by the good agreement of the numerical results with the measured data. Then, periodic orbits of a flapping-of-wings flight are searched in order to fly the butterfly models. Almost periodic orbits are obtained, but both models in the flapping-of-wings flight are unstable. The unstable level of the panel method model is smaller by considering free-vortices in wakes. Meaning that the wake-induced flow has a type of feedback stabilization effect.

Keywords

Periodic Orbit Aerodynamic Force Pitching Moment Panel Method Vortex Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2008

Authors and Affiliations

  • Kei Senda
    • 1
  • Masakazu Sawamoto
    • 1
  • Masahiko Kitamura
    • 1
  • Tsuyoshi Tanaka
    • 2
  1. 1.Graduate School of Natural Science and TechnologyKanazawa UniversityIshikawaJapan
  2. 2.Graduate School of EngineeringOsaka Prefecture UniversityJapan

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