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Structural Health Monitoring Using Smart Sensors - ideals ...

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Normalized accumulated stress<br />

measurement 3 measurement 2 measurement 1<br />

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 />

11 12 13 14 1516 17 18 19 15 16 17 18 19 20 21 22 23 19 20 21 22 23 24 25 26 27<br />

Element ID<br />

(a)<br />

Normalized accumulated stress<br />

measurement 3 measurement 2 measurement 1<br />

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 />

11 12 13 14 15 16 17 18 19 15 16 17 18 19 20 21 22 23 19 20 21 22 23 24 25 26 27<br />

Element ID<br />

(b)<br />

Figure 8.18. Damage detection (damaged element: Element 19): (a) mass perturbation<br />

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

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 />

11 12 1314 15 16 17 18 19 15 16 17 18 19 20 21 22 23 19 20 21 22 23 24 25 26 27<br />

Element ID<br />

(a)<br />

Figure 8.19. Damage detection (damaged element: Element 20): (a) mass perturbation<br />

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

0<br />

11 12 13 14 151617 1819 15 16 17 18 19 20 21 22 23 19 20 21 22 23 24 25 26 27<br />

Element ID<br />

(b)<br />

are commonly monitored by sensor communities 1 and 2, resulting in two damage<br />

detection cases per measurement. Repeating the measurement process three times results<br />

in six damage detection cases for each of these elements. When no false damage detection<br />

cases are observed out of six, the corresponding cells in these tables appear as “0/6.” The<br />

numerator represents the number of false damage detection cases, while the denominator<br />

represents the total number of damage detection cases. Elements 3, 4, 5, and 6 are<br />

monitored by only one community; thus, the denominator of the corresponding cells is<br />

three instead of six. Element 11 is monitored by three communities, so the denominator is<br />

nine. When element 8 is damaged, for example, the cell corresponding to this element<br />

represents false-negative damage detection while other cells in the same column represent<br />

153

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