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expected from a lift curve slope. Aft of the pitch axis the vertical displacement is opposite in sign
to AOA. This leads to a 180° out of phase lift curve slope plot.
Figure 6-30 A) and D) are individual Lissajous figures taken at 93% span vs. 67% chord
location, which corresponds to the shock recovery region as seen in Figure 6-27 C). In this
region, an odd figure-eight shape forms due to the continuous phase variation caused by the
shock transition. The 3-D plot in D) provides more insight as to how the Cp varies with time.
Notably, a loop feature is seen occurring in the last quarter of the cycle. This is due to the large
and fast Cp variation occurring at this point in the cycle. Figure 6-30 B) and E) are individual
Lissajous figures taken at 88% span vs. 72% chord location, which also corresponds to shock
recovery region as seen in Figure 6-28 C). The phase relationship for this figure is close to 15°
with some nonlinear, figure-eight aspects due to the shock transition. The 3-D plot in E) shows a
loop feature happening in the last half of the cycle since the Cp jump is more prolonged. Figure
6-30 C) and F) are individual Lissajous figures taken at 88% span vs. 81% chord location, which
corresponds to the area aft of shock recovery region as seen in Figure 6-28 C). The shape of this
Lissajous is also a nonlinear, figure-eight, but with a phase closer to 145°. The 3-D plot in F) has
a more s-shaped feature with a small loop occurring in the last part of the cycle due a double-
sinusoidal-like response in the Cp.
Figure 6-31 shows that the set of Lissajous plots for the 8Hz ±0.5° case is very different
from the 1Hz ±2° case. Most of the plots are open in nature and do not display the nonlinear
nature shown previously. In the lower left-hand potion of the plot, a 0° phase shift is again seen
with counter-clockwise rotation, but it opens up to a 45° (ellipse up to the right) phase shift along
the LE. As in the 1Hz plot this maps out the pitch axis. The phase then shifts to 180° with
clockwise rotation and begins to open up upon aft movement. However, the shift to clockwise
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