Find the natural frequencies and mode shapes of the system considered in Problem 6.27 with \(m_{1}=m, m_{2}=2 m, m_{3}=m, k_{1}=k_{2}=k\), and \(k_{3}=2 k\).

Data From Problem 6.27:-

Derive the flexibility and stiffness matrices of the spring-mass system shown in Fig. 6.32 assuming that all the contacting surfaces are frictionless.

Transcribed Image Text:

m m2 m3 00000 m3 m2 00000 m1 k k FIGURE 6.31 Fixed-fixed beam carrying three masses. FIGURE 6.32 Three-degree-of-freedom spring-mass system.