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The overall trends of the Lissajous figures are similar for the wing-only Wing1 and aircraft
Grid8 pitch cases. In the lower left-hand potion of the plot, there is a 0° to 45° phase shift with
counter-clockwise rotation. The phase suddenly shifts to 180°, essentially mapping out the pitch
axis. There is also a corresponding phase shift on the tip launcher (LAU) at the 13% chord
location indicative of the pitch axis. It is interesting to note that the Lissajous along the tip
launchers is 180 out of phase from the 8-38% chord region. This may be attributed to the
increased strength of the shock and, therefore, more wrapping of the shock around the wing-tip.
The phase then shifts to 180° with clockwise rotation, and begins to open up aft along the wing
with 90° phase shift along the inboard, TE portion of the wing. The phase maintains a 180° phase
shift near and along the tip aft of 48% chord.
A transition from clockwise to counter-clockwise rotation is apparent in the 78% chord
region at the root and extending back to the 68% chord region near the tip. This shift in rotational
direction can be attributed to the shock transition. There are also a few regions on the wing,
mostly near the tip launcher and shock transition, where the Lissajous plots form a figure-eight
shape, indicating a continuous phase variation within 1 cycle. Overall, the Lissajous figures for
both pitch oscillation cases differ most significantly along the forward portion of the tip launcher
and in the shock transition region.
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