Set up the matrix equation of motion and determine the three principal modes of vibration for the system shown in Fig. 6.6(a) with \(k_{1}=3 k, k_{2}=k_{3}=k, m_{1}=3 m\), and \(m_{2}=m_{3}=m\). Check the orthogonality of the modes found.

Figure 6.6(a):-

Transcribed Image Text:

k 000 m x1 k m2 a x2 15 k3 m3