The building frame shown in Fig. 14.23 is subjected to a ground acceleration whose power spectral density is given by

\[S(\omega)=\frac{1}{4+\omega^{2}}\]

Find the mean square values of the relative displacements of the various floors of the building frame. Assume a modal damping ratio of 0.02 in each mode.

Figure 14.23:-

Transcribed Image Text:

22 22 *2 m m k 12 X3(1) x2(1) k 2 m x(1) k 2 y(t) m = 1000 kg, k = 106 N/m FIGURE 14.23 Three-story building frame.