Research Article
Finite Element Model Updating in Bridge Structures Using Kriging Model and Latin Hypercube Sampling Method
Table 4
Comparison of testing results and FE model results (unit: Hz).
| Measured frequency | FEM frequency | Error (%) | Kriging model | GA | Position | Modal description |
| 0.5911 | 0.4894 | 17.21 | 0.5369 | 0.5408 | Arch rib | 1st order symmetrical lateral bending | 1.1804 | 1.0322 | 12.56 | 1.1307 | 1.1380 | 2nd order antisymmetrical lateral bending | 1.8387 | 1.6145 | 12.19 | 1.7664 | 1.7805 | 3rd order symmetrical lateral bending | 2.5883 | 2.3091 | 10.79 | 2.5228 | 2.5445 | 4th order antisymmetrical lateral bending | 3.4136 | 2.9343 | 14.04 | 3.1978 | 3.2306 | 5th order symmetrical lateral bending | 4.3012 | 3.8008 | 11.63 | 4.1338 | 4.1753 | 6th order antisymmetrical lateral bending | 5.1021 | 4.5375 | 11.07 | 4.9215 | 4.9764 | 7th order symmetrical lateral bending |
| 2.0143 | 2.0799 | −3.26 | 2.0350 | 2.0455 | Girder and arch rib | 1st order antisymmetrical vertical bending | 2.9367 | 3.0691 | −4.51 | 2.9730 | 3.0057 | 2nd order symmetrical vertical bending | 3.2499 | 3.5905 | −10.48 | 3.4377 | 3.4942 | 3rd order symmetrical vertical bending | 3.8289 | 4.2221 | −10.27 | 4.1427 | 4.1815 | 4th order antisymmetrical vertical bending | 4.7944 | 4.4713 | 6.74 | 4.4020 | 4.4282 | 5th order symmetrical vertical bending | 4.9524 | 5.0990 | −2.96 | 5.2573 | 5.1614 | 6th order antisymmetrical vertical bending |
| 3.9760 | 3.2979 | 17.05 | 3.7637 | 3.8466 | Girder | 1st order antisymmetrical lateral bending | 4.6262 | 5.2794 | −14.12 | 5.0266 | 5.1318 | 2nd order symmetrical lateral bending |
| 4.4507 | 4.6486 | −4.45 | 4.8588 | 4.8203 | Arch rib | 1st order torsional | 5.4851 | 5.5923 | −1.95 | 5.9617 | 5.8306 | 2nd order torsional |
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