Consider the eigenvalue problem [left[[k]-omega^{2}[m] ight] vec{X}=overrightarrow{0}] where Find the natural frequencies by finding the roots of

Consider the eigenvalue problem

\[\left[[k]-\omega^{2}[m]\right] \vec{X}=\overrightarrow{0}\]

where

Find the natural frequencies by finding the roots of the characteristic equation

\[\left|[m]^{-1}[k]-\omega^{2}[I]\right|=0\]

Compare your results with the ones obtained in Example 6.11.

Data From Example 6.11:-

Figure 6.12:-

Transcribed Image Text:

2 -1 0 1 0 0 [k] = k -1 2 -1 and [m] = m 0 1 0 0 -1 1 0 1