Is a Two-dimensional Butterfly Able to Fly by Symmetric Flapping?

  • Iima Makoto
    Research Institute for Electronic Science, Hokkaido University, N12 W6, Kita-ku, Sapporo 060-0812
  • Yanagita Tatsuo
    Research Institute for Electronic Science, Hokkaido University, N12 W6, Kita-ku, Sapporo 060-0812

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We consider whether two rigid plates (on a hinge) swinging completely symmetrically with respect to the up and down directions can produce enough lift for flight. By simulating a simple flapping motion in two-dimensional space using a discrete vortex method, we found a new type of symmetry-breaking mechanism that allows for the generation of sufficient lift to realize steady-flapping flight. The most important factor in determining the behavior of the model is the nature of the flow following the second downstroke, in which the wing produces significant lift through its interaction with the separation vortices.

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