Question: The measurement bandwidth was increased so that the first three modes were captured. Again, the direct, (X_{1} / F_{1}), and cross FRFs, (X_{2} / F_{1})

The measurement bandwidth was increased so that the first three modes were captured. Again, the direct, \(X_{1} / F_{1}\), and cross FRFs, \(X_{2} / F_{1}\) through \(X_{5} / F_{1}\), were measured. The imaginary part of the direct FRF for the entire bandwidth is shown in Fig. P6.6a. The three natural frequencies are 200, 550, and 1,250 Hz.

Imag(X/F) (m/N) -1 -2 10-6 -5 500 1000 1500 Frequency (Hz)

Fig. P6.6a Direct FRF \(X_{1} / F_{1}\).
Use Figs. P6.6b through P6.6f to identify the mode shape that corresponds to the \(1,250 \mathrm{~Hz}\) natural frequency. Plot your results using the same approach described.

image text in transcribed

Fig. P6.6b Direct \(\mathrm{FRF} X_{1} / F_{1}\) (mode 3 only).

image text in transcribed

Fig. P6.6c Cross FRF \(X_{2} / F_{1}\).

image text in transcribed

Fig. P6.6d Cross FRF \(X_{3} / F_{1}\).

image text in transcribed

Fig. P6.6e Cross FRF \(X_{4} / F_{1}\).

image text in transcribed

Fig. P6.6f Cross FRF \(X_{5} / F_{1}\).


Imag(X/F) (m/N) -1 -2 10-6 -5 500 1000 1500 Frequency (Hz)

Step by Step Solution

3.38 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Introduction Mechanical Engineering Questions!