Consider the eigenvalue problem:

a. Find the natural frequencies and mode shapes of the system.

b. Change the coordinates in Eq. (E.1) as \(X_{1}=Y_{1}\) and \(X_{2}=3 Y_{2}\) and express the eigenvalue problem in terms of the eigenvector \(\vec{Y}=\left\{\begin{array}{l}Y_{1} \\ Y_{2}\end{array}\right\}\), solve it, and find the natural frequencies and mode shapes.

c. Compare the results found in parts

(a) and

(b) and give your observations.

Transcribed Image Text:

1 0 6-2 X (E.1) * 98-[4]} = 2