Find the fundamental frequency of the torsional system shown in Fig. 6.11, using Dunkerley's formula for the following data:

(a) \(J_{1}=J_{2}=J_{3}=J_{0} ; k_{t 1}=k_{t 2}=k_{t 3}=k_{t}\); and

(b) \(J_{1}=J_{0}, J_{2}=2 J_{0}, J_{3}=3 J_{0} ; k_{t 1}=k_{t}, k_{t 2}=2 k_{t}, k_{t 3}=3 k_{t}\).

Figure 6.11:-

Transcribed Image Text:

M12 M3 MA K13 k12 Turbine (2) Generator (13) Compressor (1) FIGURE 6.11 Torsional system.