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Structural Health Monitoring Using Smart Sensors - ideals ...

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1<br />

1<br />

Normalized accumulated stress<br />

measurement 3 measurement 2 measurement 1<br />

0.5<br />

0.3<br />

0<br />

1<br />

0.5<br />

0.3<br />

0<br />

1<br />

0.5<br />

0.3<br />

Normalized accumulated stress<br />

measurement 3 measurement 2 measurement 1<br />

0.5<br />

0.3<br />

0<br />

1<br />

0.5<br />

0.3<br />

0<br />

1<br />

0.5<br />

0.3<br />

0<br />

3 4 5 6 7 8 9 1011 7 8 9 10 111213 1415 1112 1314 151617 1819<br />

Element ID<br />

(a)<br />

3 4 5 6 7 8 9 1011 7 8 9 101112131415 111213141516171819<br />

Figure 8.13. Damage detection (damaged element: Element 8): (a) mass perturbation<br />

DLV; and (b) SDLV.<br />

0<br />

Element ID<br />

(b)<br />

3, 4, and 5 monitor for the damaged element for the other cases. The experiment is<br />

repeated at least three times for each case to assess the repeatability of damage detection.<br />

The SDLV method is employed as the DLV method on Imote2s, while the damage<br />

detection capability of the mass perturbation DLV method is also examined on a PC. As<br />

stated in section 8.4, the DCS for SHM using known mass perturbation has been<br />

implemented on Imote2s, and the same numerical operations on Matlab on the centrally<br />

collected truss acceleration response data has been confirmed to produce the same<br />

calculation results as those on Imote2s. Therefore, for convenience, the mass perturbation<br />

DLV method is applied on Matlab to the centrally collected data to investigate the damage<br />

detection capability.<br />

Figures 8.13 to 8.21 show the damage detection results using the two DLV methods.<br />

For most of the experiments, both of the DLV methods can detect the damaged element,<br />

i.e., it has a normalized accumulated stress smaller than 0.3. In some cases, however,<br />

false-positive and/or false-negative damage detection is observed.<br />

False-positive damage detection can be theoretically explained. The DLV methods<br />

identify elements with small stress as candidates for damaged elements. Undamaged<br />

elements are not necessarily excluded from the small stress elements. Bernal (2002) and<br />

Gao (2005) reported that such false-positives are occasional in their simulations and<br />

experiments. In the Imote2 experiments, Figure 8.15 (a) shows false-positive damage<br />

detection at element 11 in the second measurement. This false-positive is not observed in<br />

the first and third measurements. In Figure 8.14 (a), however, false-positives are observed<br />

consecutively. Element 8 has small stress in all cases. Though consecutive false-positives<br />

do not contradict the theoretical derivation of the DLV methods, they are not reported in<br />

Bernal (2002) or Gao (2005). Consecutive false-positives are likely to indicate that factors<br />

such as a structure’s nonlinearity and observation noise affect the damage detection<br />

capability in these experiments.<br />

150

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