Consider the free-sliding beam shown in Fig. P8.4a. Direct and cross FRFs were measured at six locations and the imaginary parts are provided for the frequency interval near its second bending natural frequency of \(350 \mathrm{~Hz}\) in Figs. P8.4b-P8.4g. Given the FRF data, sketch the mode shape corresponding to the second natural

Fig. P8.4a Free-sliding beam model.

Fig. P8.4b Direct FRF \(\frac{X_{1}}{F_{1}}\) for the free-sliding beam.

frequency. Normalize the mode shape to a value of 1 at the free end.

Fig. P8.4c Cross FRF \(\frac{X_{2}}{F_{1}}\) for the free-sliding beam.

Fig. P8.4d Cross FRF \(\frac{X_{3}}{F_{1}}\) for the free-sliding beam.

Fig. P8.4e Cross FRF \(\frac{X_{4}}{F_{1}}\) for the free-sliding beam.

Fig. P8.4f Cross FRF \(\frac{X_{5}}{F_{1}}\) for the free-sliding beam.

Fig. P8.4g Cross FRF \(\frac{X_{6}}{F_{1}}\) for the free-sliding beam.

Fi | | | | | | | | x1 X2 X3 X4 X5 X6