Structural Damage Detection Based on Static and Dynamic Flexibility: A Review and Comparative Study
Abstract
:1. Introduction
2. Definition of Structural Flexibility and Testing Methods
3. Flexibility-Based Damage Assessment
3.1. Localizing Damage Using Differences in the Flexibility
3.2. Localization of Damage Using Flexibility-Derived Indices
3.3. Assessing Damage Using Flexibility Sensitivity
3.4. Assessing Damage by Decomposing the Flexibility
3.5. Assessing Damage Using Static Flexibility
Funding
Conflicts of Interest
References
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DOF Number | Flexibility Change | |
---|---|---|
No Noise | With Noise | |
1 | 0 | 0 |
2 | 0.038 | 0.065 |
3 | 0.154 | 0.191 |
4 | 0.352 | 0.353 |
5 | 0.639 | 0.847 |
6 | 1.021 | 1.606 |
7 | 1.501 | 2.363 |
8 | 2.078 | 2.928 |
9 | 2.744 | 3.795 |
10 | 3.485 | 4.655 |
11 | 4.279 | 5.416 |
12 | 5.099 | 6.467 |
13 | 5.133 | 5.982 |
14 | 4.378 | 4.954 |
15 | 3.642 | 4.059 |
16 | 2.947 | 4.419 |
17 | 2.314 | 3.286 |
18 | 1.754 | 1.951 |
19 | 1.274 | 1.584 |
20 | 0.875 | 1.289 |
21 | 0.555 | 0.917 |
22 | 0.311 | 0.578 |
23 | 0.138 | 0.208 |
24 | 0.035 | 0.051 |
25 | 0 | 0 |
DOF Number | Flexibility Change | |
---|---|---|
No Noise | With Noise | |
1 | 0 | 0 |
2 | 0.057 | 0.069 |
3 | 0.109 | 0.114 |
4 | 0.156 | 0.131 |
5 | 0.197 | 0.189 |
6 | 0.231 | 0.247 |
7 | 0.260 | 0.281 |
8 | 0.282 | 0.267 |
9 | 0.298 | 0.303 |
10 | 0.307 | 0.315 |
11 | 0.310 | 0.297 |
12 | 0.345 | 0.381 |
13 | 0.341 | 0.332 |
14 | 0.302 | 0.294 |
15 | 0.299 | 0.240 |
16 | 0.290 | 0.368 |
17 | 0.275 | 0.292 |
18 | 0.255 | 0.207 |
19 | 0.229 | 0.231 |
20 | 0.199 | 0.207 |
21 | 0.163 | 0.165 |
22 | 0.122 | 0.138 |
23 | 0.076 | 0.065 |
24 | 0.026 | 0.024 |
25 | 0 | 0 |
DOF Number | Flexibility Change | |
---|---|---|
No Noise | With Noise | |
1 | 0 | 0 |
2 | 0.023 | 0.028 |
3 | 0.046 | 0.048 |
4 | 0.068 | 0.057 |
5 | 0.088 | 0.085 |
6 | 0.108 | 0.115 |
7 | 0.125 | 0.135 |
8 | 0.140 | 0.133 |
9 | 0.153 | 0.156 |
10 | 0.162 | 0.167 |
11 | 0.169 | 0.162 |
12 | 0.194 | 0.214 |
13 | 0.194 | 0.189 |
14 | 0.169 | 0.165 |
15 | 0.163 | 0.130 |
16 | 0.154 | 0.196 |
17 | 0.144 | 0.163 |
18 | 0.154 | 0.133 |
19 | 0.169 | 0.169 |
20 | 0.183 | 0.197 |
21 | 0.196 | 0.205 |
22 | 0.209 | 0.224 |
23 | 0.222 | 0.221 |
24 | 0.234 | 0.238 |
25 | 0 | 0 |
Bar Number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Internal force | 1.097 | 2.365 | 0.480 | 2.429 | 0.136 | 0.247 | 4.489 | 1.207 | 3.225 | 2.467 | 1.745 | 0.917 | 0.109 |
Bar number | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 |
Internal force | 0.515 | 0.000 | 2.021 | 4.253 | 1.687 | 1.317 | 5.796 | 0.618 | 3.366 | 0.166 | 0.260 | 0.541 | 1.497 |
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Share and Cite
Peng, X.; Yang, Q.; Qin, F.; Sun, B. Structural Damage Detection Based on Static and Dynamic Flexibility: A Review and Comparative Study. Coatings 2024, 14, 31. https://doi.org/10.3390/coatings14010031
Peng X, Yang Q, Qin F, Sun B. Structural Damage Detection Based on Static and Dynamic Flexibility: A Review and Comparative Study. Coatings. 2024; 14(1):31. https://doi.org/10.3390/coatings14010031
Chicago/Turabian StylePeng, **, Qiuwei Yang, Fengjiang Qin, and Binxiang Sun. 2024. "Structural Damage Detection Based on Static and Dynamic Flexibility: A Review and Comparative Study" Coatings 14, no. 1: 31. https://doi.org/10.3390/coatings14010031