Fig. 1. Wing motion and force production of a robotic wing performing a
clap-and-fling kinematic maneuver. (AD) Diagrams of wing motion
indicating magnitude and orientation of total force vector measured by a force
transducer during the downstroke (red) and upstroke (green) of a dynamically
scaled robotic model wing (stroke amplitude=160°; cycling frequency=0.16
Hz; geometrical angle of attack at midstroke=45°; wing shape similar to a
Drosophila wing; mean Reynolds number is 134 and typical to
Drosophila wing motion). Small circles at the beginning of each wing
section (blue line) indicate the leading edge of the moving wing. The
kinematic pattern was derived from kinematic data published for a tethered
flying fruit fly Drosophila
(Zanker, 1990a). The
performance of flapping a single wing is shown in A and B. The vectors in C
and D demonstrate forces produced by the wing when simultaneously flapping an
imaged wing in close distance to promote the clap-and-fling maneuver at dorsal
reversal. (E) Relative augmentation of the mean force vector coefficient due
to the clap-and-fling wing beat, scaled to the performance of a single wing
flapping. Data are plotted as a function of the angular distance between the
two wing hinges. The pictogram illustrates the position of the wing's leading
edge (blue line) during the clap and the location of the two robotic wing
hinges (view normal to the stroke plane). To avoid direct mechanical stress on
the force transducer, the wing tips do not physically touch during the clap
phase. (F) Alterations of the mean force vector inclination with respect to
the horizontal stroke plane when varying the angular distance between the two
wings during the clap-and-fling maneuver. An angle of inclination greater than
90° indicates that the force vector points slightly into a ventral
direction, which results in a pitching (nose) down moment. (G) The ratio
between mean lift and drag coefficients (averaged over the entire stroke
cycle) demonstrates how aerodynamic efficacy changes with decreasing angular
distance of wing separation during dorsal stroke reversal.