Structural Health Monitoring Using Smart Sensors - ideals ...
Structural Health Monitoring Using Smart Sensors - ideals ...
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Figure 7.13. Amplifier (Gao, 2005).<br />
Eight-pole elliptical AA filters are employed for both the input and output measurements<br />
with a cutoff frequency of 100 Hz. The sampling rate is 256 Hz. Other equipment used<br />
during the testing includes:<br />
• Amplifier: A Sony STR-D315 amplifier (see Figure 7.13) uses the input signal from<br />
the Siglab spectrum analyzer to drive the magnetic shaker.<br />
• Signal conditioner: PCB four-channel signal conditioners (model 441B104) have<br />
been used in this experiment.<br />
<strong>Using</strong> the synchronized sensing middleware service, the Imote2 is programmed to<br />
capture acceleration responses of the truss. The LIS3L02DQ accelerometer<br />
(STMicroelectronics, 2007) on the Imote2 sensor board applies an AA filter and yields<br />
digital outputs. The cutoff frequency of the AA filter is fixed with respect to the sampling<br />
frequency (see Table 7.2). Because the structural modes of the truss whose natural<br />
frequencies of interest are as high as 100 Hz need to be analyzed, the sampling frequency<br />
is set as 560 Hz. After measurement, signals are resampled at 280 Hz, with the resulting<br />
usable bandwidth of the signal being a little over 100 Hz.<br />
Table 7.2. Cutoff and Sampling Frequencies of LIS3L02DQ Accelerometer<br />
Decimation factor Cutoff frequency (Hz) Sampling frequency (Hz)<br />
128 70 280<br />
64 140 560<br />
32 280 1120<br />
8 1120 4480<br />
The digital lowpass filter employed in the resampling approach is designed using<br />
Matlab (The Mathworks, Inc., 2007). The passband cutoff frequency needs to be higher<br />
than the frequency range of interest, i.e. 100 Hz, while the stopband cutoff frequency is<br />
usually lower than the Nyquist frequency of the resampled signals. The filter design with<br />
these two cutoff frequencies being much lower than the sampling frequency of the<br />
upsampled signal and close to each other requires a large number of filter coefficients. To<br />
alleviate this filter design difficulty, the stopband cutoff frequency is increased. Instead of<br />
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