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Phase II Final Report - NASA's Institute for Advanced Concepts

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Chapter 3.0 Vehicle Design<br />

3.1 Wing Sizing<br />

The absolute values associated with the<br />

curves given in Figure 3-2 are dependent<br />

on the size of the wing, flapping rate, and<br />

maximum angle through which the wing<br />

will move. The combination of these variables<br />

must be optimized to maximize the<br />

amount of lift generated by the wing<br />

while operating at a power level that is<br />

achievable by the propulsion system.<br />

Figure 3-4 shows the energy utilized by<br />

the wing throughout the motion of one<br />

flap cycle, as well as the velocity and<br />

acceleration profiles assumed <strong>for</strong> the wing<br />

motion.<br />

Figure 3-3: Acceleration Force Diagram<br />

The total work per<strong>for</strong>med by the engine to<br />

provide the acceleration during the segments<br />

shown in Figure 3-4 is given by<br />

Equation 3-2. For this initial analysis the<br />

energy recapture portion of the stroke is<br />

not being taken into account. The initial<br />

sizing will utilize no energy capture,<br />

which will build margin into the sizing as<br />

well as account <strong>for</strong> some of the <strong>for</strong>ces,<br />

such as drag, that are presently not being<br />

taken into account.<br />

Figure 3-4: Wing Motion and Energy Usage,<br />

Velocity and Acceleration Profiles<br />

43

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