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

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Planetary Exploration Using Biomimetics<br />

An Entomopter <strong>for</strong> Flight on Mars<br />

6. Actual de<strong>for</strong>mations which could develop as a result of aerodynamic loads are not considered.<br />

3.3.3.6 Coordinate System<br />

The coordinate system defined <strong>for</strong> the <strong>for</strong>mulation is shown below in Figure 3-117.<br />

V<br />

Axis of<br />

rotation<br />

h<br />

α<br />

+ x<br />

b<br />

b<br />

Figure 3-117: Thin Flat Plate Airfoil<br />

h = vertical coordinate at zero center of airfoil, considered positive downwards<br />

α = angle of attack, considered positive right hand clockwise<br />

V = wind velocity positive towards right<br />

a = axis of rotation from center of airfoil (dimensionless, with reference to semichord b<br />

b = semichord = chord/2<br />

Leading edge and trailing edge also normalized at +1 and -1 respectively.<br />

Table 3-8: List of Symbols<br />

Span = Span of the entire wing (both sides), in ft<br />

V = velocity of air in ft/sec<br />

freq = Flapping frequency in Hertz<br />

Plamp = Flapping amplitude in degrees<br />

Pitamp = Pitch amplitude in degrees<br />

sspan = semi span (half span)<br />

a = axis of rotation fixed at -0.25<br />

ω = angular velocity in radians/sec<br />

hamp = Flapping amplitude in ft, based on span<br />

αamp = Pitching amplitude in radians<br />

t = time within the cycle, a cycle has been divided into 100 equal parts, and t varies as a function of frequency<br />

126<br />

<strong>Phase</strong> <strong>II</strong> <strong>Final</strong> <strong>Report</strong>

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