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Kinematic and Dynamic Analysis of Spatial Six Degree of Freedom ...

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4.2.5 Results for the Actuation <strong>of</strong> All Inputs<br />

In figures 4.15 & 4.16, the comparison <strong>of</strong> results for full-actuation is presented. The<br />

average discrepancy between the MathCAD (optimization) <strong>and</strong> NASTRAN (numerical<br />

integration) is found to be %Eavg = 1.6542 for position data <strong>and</strong> %Eavg = 1.1132 for<br />

orientation data.<br />

Platform Orientation (deg)<br />

Platform Position (mm)<br />

140<br />

120<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

-20<br />

1000<br />

500<br />

0<br />

-500<br />

-1000<br />

-1500<br />

Yaw (int.)<br />

Pitch (int.)<br />

Roll (int.)<br />

Yaw (opt.)<br />

Pitch (opt.)<br />

Roll (opt.)<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5<br />

Time (s)<br />

Figure 4.15 - Comparison <strong>of</strong> results for full actuation,<br />

ω = π , υ = 200 mm/s for motors <strong>and</strong> pistons respectively.<br />

4<br />

X Pos. (int.)<br />

Y Pos. (int.)<br />

Z Pos. (int.)<br />

X Pos. (opt.)<br />

Y Pos. (opt.)<br />

Z Pos. (opt.)<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5<br />

Time (s)<br />

Figure 4.16 - Comparison <strong>of</strong> results for full actuation,<br />

ω = π , υ = 200mm/s<br />

for motors <strong>and</strong> pistons respectively.<br />

4<br />

51

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