Fig. 2. Instantaneous wing kinematics and flight forces. (A) Body and wing
kinematics measured during a slow vertical ascent. The body is pitched up by
45° (top, black trace) and the fly ascends at a constant velocity of about
0.12 m s1. The kinematics of the right (red) and left (blue)
wing in the body frame (compare to Fig.
1C; the reference plane is inclined by 45° with respect to the
long axis of the fly's body) are given below. Forward thrust and lift are
shown at the bottom. (B) Average wing motion and instantaneous aerodynamic
forces (red arrows) for the same data sample. Black lines indicate the
position of the wing chord at 25 temporally equidistant points during the
stroke cycle, with dots marking the leading edge. Green arrows show the
direction of wing motion. The axes indicate a vertical range of stroke
position between 90° to 90° horizontally and 10° to
10° vertically. The inset shows the mean downstroke and upstroke forces
(red arrows), together with the average over the entire stroke (green arrow).
(C) Quasi-steady analysis. The total aerodynamic force measured using the
robotic wing (red trace) is compared with the flight force predicted by the
model (black trace), which is composed of a translational (blue) and a
rotational component (green). Calculations were performed using the model and
code provided by W. B. Dickson (also see
Dickson and Dickinson,
2004).