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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 />

ated. Innumerable combinations of these variables are possible and would require an extensive<br />

ef<strong>for</strong>t <strong>for</strong> exploration (beyond the scope of the NIAC <strong>Phase</strong> <strong>II</strong> study resources), so an assumption<br />

was made that within each dimension of design space the key response will have a quadratic<br />

relation with the dimension variable. Hence, based on this assumption, each variable will have<br />

three values: a minimum within the range, a maximum within the range, and the center point.<br />

For example, velocity will be taken as 14, 20, and 26ft./sec. After having made this assumption,<br />

a full factorial design space array would require 35 or 243 runs <strong>for</strong> evaluation of responses at all<br />

points. This can be mitigated by taking a fractional factorial orthogonal array <strong>for</strong> design space<br />

exploration. A face-centered composite design orthogonal array with 28 runs was <strong>for</strong>mulated <strong>for</strong><br />

the purpose of this analysis. The array is given in Table 3-9.<br />

Table 3-9: Design of Experiment Array<br />

Run No. Span Velocity Frequency<br />

Plunge<br />

Amplitude<br />

Pitch<br />

Amplitude<br />

1 2.6 14 6 45 12<br />

2 2.6 14 6 75 8<br />

3 2.6 14 16 45 8<br />

4 2.6 14 16 75 12<br />

5 2.6 26 6 45 8<br />

6 2.6 26 6 75 12<br />

7 2.6 26 16 45 12<br />

8 2.6 26 16 75 8<br />

9 4 14 6 45 8<br />

10 4 14 6 75 12<br />

11 4 14 16 45 12<br />

12 4 14 16 75 8<br />

13 4 26 6 45 12<br />

14 4 26 6 75 8<br />

15 4 26 16 45 8<br />

16 4 26 16 75 12<br />

17 3.3 20 11 60 10<br />

18 3.3 20 11 60 10<br />

19 2.6 20 11 60 10<br />

20 4 20 11 60 10<br />

21 3.3 14 11 60 10<br />

142<br />

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

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