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35 lines
1.3 KiB
35 lines
1.3 KiB
\begin{table}
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\begin{center}
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\caption{Summary of Relationships for Scale Model Testing}
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\makeqnum
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\begin{tabular}{||l|c||}
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\hline
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\multicolumn{1}{|c}{Parameter}
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&\multicolumn{1}{|c||}{Scaling Relationships}\\
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Geometry and & \\
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Initial Conditions: &\\
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\quad Overall Length & $l_{sm} = l_{fs} \times (Scale)^{1}$\\
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\quad Mass & $M_{sm} = M_{fs} \times (Scale)^{3}$\\
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\quad Moment of Inertia & $I_{sm} = I_{fs} \times (Scale)^{5}$\\
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\quad Spring Constants: &\\
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\quad \quad Loading & $Kl_{sm} = Kl_{fs} \times (Scale)^{1}$\\
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\quad \quad Unloading & $Ku_{sm} = Ku_{fs} \times (Scale)^{1}$\\
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\quad Initial Velocity & $Vi_{sm} = Vi_{fs} \times (Scale)^{0}$\\
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\quad Initial Angle & $\theta i_{sm} = \theta i_{fs} \times
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(Scale)^{0}$\\
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\hline
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Results: & \\
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\quad Linear Accelerations & $a_{sm} = a_{fs} \times (Scale)^{-1}$\\
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\quad Angular Accelerations & $\alpha _{sm} = \alpha _{fs} \times
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(Scale)^{-2}$\\
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\quad Linear Velocities & $V_{sm} = V_{fs} \times (Scale)^{0}$\\
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\quad Angular Velocities & $\omega _{sm} = \omega _{fs} \times
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(Scale)^{-1}$\\
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\quad Linear Displacements & $\Delta _{sm} = \Delta _{fs} \times
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(Scale)^{1}$\\
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\quad Angular Displacements & $\theta _{sm} = \theta _{f} \times
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(Scale)^{0}$\\
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\hline
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\end{tabular}
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\end{center}
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\end{table}
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