Find the free-vibration response of the system shown in Fig. 5.5 (a) using Laplace transform approach for the following data: \(m_{1}=2, m_{2}=4, k_{1}=8, k_{2}=4, k_{3}=0, c_{1}=0, c_{2}=2\), \(c_{3}=0\). Assume the initial conditions as \(x_{1}(0)=1, x_{2}(0)=0\), and \(\dot{x}_{1}(0)=\dot{x}_{2}(0)=0\). Plot the responses \(x_{1}(t)\) and \(x_{2}(t)\).

Figure 5.5(a):-

Transcribed Image Text:

k m -fi(t) (1)x- k 00000 (a) m2 (1)x- 2(t) k3 Cz