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Structural Health Monitoring Using Smart Sensors - ideals ...

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Power spectral densities (g 2 /Hz)<br />

10 0 Imote2 1<br />

Imote2 2<br />

Reference 1<br />

Reference 2<br />

10 -2<br />

10 -4<br />

10 -6<br />

Power spectral densities (g 2 /Hz)<br />

10 0<br />

10 -2<br />

10 -4<br />

Imote2 1<br />

Imote2 2<br />

10 -6<br />

Reference 1<br />

Reference 2<br />

0 20 40 60 80 100 120 140 0 20 40 60 80 100 120 140<br />

Frequency (Hz)<br />

Frequency (Hz)<br />

(a) longitudinal<br />

(b) transverse<br />

Power spectral densities (g 2 /Hz)<br />

10 0<br />

10 -2<br />

10 -4<br />

Imote2 1<br />

10 -6<br />

Imote2 2<br />

Reference 1<br />

Reference 2<br />

0 20 40 60 80 100 120 140<br />

Frequency (Hz)<br />

(c) vertical<br />

Figure 7.16. Acceleration power spectral densities of Imote2s and reference sensors.<br />

The same observation is made when the signals are compared in terms of power<br />

spectral density (see Figure. 7.16). Note that signals above 100 Hz cannot be directly<br />

comparable because the cutoff frequencies of filters involved are set around 100 Hz. As<br />

with the time domain comparison, the power spectral density of the longitudinal<br />

accelerations shows differences between the two Imote2 signals. The observable<br />

difference in the signals is not constant over frequency. Another finding from the plot for<br />

the longitudinal acceleration is that Imote2s gives smaller signal magnitude above 80 Hz<br />

than PCB accelerometers. In general, the Imote2 signals are close to each other.<br />

Transfer functions between the Imote2 accelerometers, between reference<br />

accelerometers, and between the Imote2 and reference accelerometers are then estimated<br />

(see Figure 7.17). The transfer function magnitude plotted against frequency reveals<br />

differences in the sensitivities of two signals as a function of frequency. As can be seen in<br />

Figure 7.17, the transfer function magnitude for the vertical acceleration is nearly flat<br />

below 100 Hz. The compared sets of signals are considered close to each other confirming<br />

findings from Figures 7.15 and 7.16. The fluctuation found around 30 Hz, as well as<br />

fluctuation in low-frequency range, is considered to be due to the signals being extremely<br />

small, as shown in Figure 7.16. Transfer functions for the transverse acceleration confirm<br />

115

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