Find (a) the natural frequencies of the system, and (b) the responses of the anvil and the foundation block of the forging hammer shown in Fig. 5.51 when the time history of the force applied to the anvil is as shown in Fig. 5.52. Assume the following data:

Mass of anvil and frame \(=200 \mathrm{Mg}\)

Mass of foundation block \(=250 \mathrm{Mg}\)

Stiffness of the elastic pad \(=150 \mathrm{MN} / \mathrm{m}\)
Stiffness of the soil \(=75 \mathrm{MN} / \mathrm{m}\)
\(F_{0}=10^{5} \mathrm{~N}\) and \(T=0.5 \mathrm{~s}\)

Transcribed Image Text:

F(t) Fo T FIGURE 5.52 Force applied to anvil.