Question 13.P.1: Using Rayleigh Ritz method and the following Ritz shapes obt...

Using Rayleigh Ritz method and the following Ritz shapes obtain estimates of 2 frequencies and the associated mode shapes of the four-story frame shown in Figure 11.14.

\Psi =\left[\begin{array}{rr}0.5 & 0.5 \\1.0 & 1.0 \\1.5 & -0.1 \\2.0 & -1.5\end{array}\right]

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\begin{aligned}\omega_{1} &=9.56  \mathrm{rad} / \mathrm{s} \quad \omega_{2}=27.55  \mathrm{rad} / \mathrm{s} \\\phi_{1} &=\left[\begin{array}{l}0.1777 \\0.3555 \\0.4498 \\0.5286\end{array}\right] \quad \phi_{2}=\left[\begin{array}{r}-0.2285 \\-0.4569 \\0.0470 \\0.6882\end{array}\right]\end{aligned}

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