Use a two-element, finite-element model to approximate the two lowest natural frequencies and their corresponding mode shapes
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Use a two-element, finite-element model to approximate the two lowest natural frequencies and their corresponding mode shapes for the system of Figure P11.13.
\[ \begin{aligned} & E=200 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2} \\ & A=1.6 \times 10^{-4} \mathrm{~m}^{2} \\ & L=2.5 \mathrm{~m} \\ & k=1 \times 10^{7} \mathrm{~N} / \mathrm{m} \end{aligned} \]
FIGURE P11.13
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