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Structural Health Monitoring Using Smart Sensors - ideals ...

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Node 1<br />

x1<br />

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E <br />

x 1 t x 1<br />

t <br />

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Node 2<br />

x2<br />

Node 3<br />

x3<br />

Node 4<br />

x4<br />

Node 5<br />

x5<br />

Node ns<br />

xns<br />

E x 1 t x 2<br />

t <br />

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E x 1 t x3<br />

t <br />

<br />

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E x 1 t x 4<br />

t <br />

<br />

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E <br />

x 1 t x 5<br />

t <br />

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E <br />

x 1 t x ns<br />

t <br />

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Figure 5.2. Distributed correlation function estimation.<br />

application. However, Gao (2005) proposed a DCS for SHM which supports this idea.<br />

Neighboring smart sensors in a single-hop communication range make local sensor<br />

communities and perform SHM in the communities. In such applications, the assumption<br />

of nodes being within single-hop range of a reference node is reasonable.<br />

5.1.3 Implementation<br />

. . .<br />

In this section, the data aggregation strategy introduced previously is validated on a<br />

network of Imote2s. To understand the performance of the algorithms, consider the truss<br />

model shown in Figure 5.3. Vertical acceleration responses under random input are<br />

measured at nodes 9, 11, 13, 15, 17, 19, 21, 23, and 25. The responses are then injected<br />

into a network of nine Imote2s. The Imote2 corresponding to node 9 works as the<br />

reference sensor. This node broadcasts its own data to the other nodes and collects<br />

correlation function estimates. The length, N , of the injected data is 2,048 and the number<br />

of FFT points is 512, resulting in seven averages with a 50 percent overlap. The sampling<br />

rate is 500 Hz.<br />

The acceleration response data and correlation function estimates are stored and<br />

transferred as a 16-bit integer data type, considering that accelerometer can reasonably be<br />

assumed to have a 12-bit resolution. In this way, memory space and bandwidth are<br />

efficiently utilized, while double precision data is used during the spectral density<br />

estimation and the inverse FFT calculations.<br />

Simulation data is then reliably transferred to the destination nodes using a reliable<br />

communication protocol described in the next section. In this way, outputs of this<br />

correlation function estimate are compared with those calculated on a PC without being<br />

mixed with the effect of data loss.<br />

Correlation functions are estimated on the Imote2s and reported back to the reference<br />

node. Figure 5.4 shows the estimated correlation function between nodes 9 and 11. This<br />

estimate matches the corresponding correlation function estimated on a PC assuming the<br />

<br />

6 10 14 18 22 26 30 34 38 42 46 50<br />

3 7 11 15 19 23<br />

31 35 39 43 47 51<br />

27<br />

2 5 9 13 17 21 25 29 33 37 41 45 49 53<br />

1 4 8 12 16 20 24 28 32 36 40 44 48 52<br />

<br />

Figure 5.3. Numerical model of a 2D truss structure.<br />

55

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