Modal Analysis Topics, Volume 3

The following (Tables 4, 5, and 6) provide a summary of the statistical information evaluated on the civil bridge structure. Note that in Table 4 that there is little difference in the complex modal frequency estimated from the most significant pole weighted vector (columns 3 and 4) when compared to the mean values of the complex portions of the modal frequency (columns 5 and 6). Index Sample Size (N) Frequency (Hz) Damping (Hz) Frequency (Hz) Damping (Hz) Std. Dev. (Hz) (Mean) (Mean) 3 19 7.406 -0.2404 7.406 -0.2405 0.0169 2 19 8.263 -0.2022 8.263 -0.2023 0.0165 21 14 9.465 -0.9480 9.465 -0.9698 0.2536 8 19 11.253 -0.6015 11.252 -0.6154 0.1868 35 6 12.224 -0.6669 12.224 -0.6670 0.0182 32 8 12.756 -0.3504 12.756 -0.3508 0.0295 11 17 13.162 -0.6187 13.162 -0.6191 0.0555 41 6 15.729 -0.5557 15.729 -0.5559 0.0294 30 10 15.765 -0.5059 15.765 -0.5065 0.0373 6 19 16.747 -0.5606 16.748 -0.5607 0.0282 43 4 18.221 -0.5984 18.221 -0.6022 0.1169 16 13 20.100 -0.4803 20.099 -0.4817 0.0501 37 4 20.323 -0.3610 20.323 -0.3616 0.0476 14 16 20.507 -1.1457 20.507 -1.1594 0.1925 39 5 21.236 -1.0438 21.236 -1.0540 0.1930 31 5 21.624 -1.5834 21.623 -1.5995 0.2917 25 10 22.778 -0.7731 22.778 -0.7754 0.0856 28 10 24.247 -0.6431 24.247 -0.6433 0.0238 9 17 25.235 -0.8774 25.235 -0.8777 0.0452 18 14 27.824 -1.0196 27.824 -1.0211 0.0749 23 8 28.150 -0.7324 28.151 -0.7365 0.1076 22 9 29.492 -0.4523 29.492 -0.4654 0.1662 TABLE 4. Bridge Example: Modal Frequency Statistics 397

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