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615<br />

Table 1: Fundamental natural frequencies of Bent 12 in intact and severe-damage stages, modeled by<br />

ANSYS software in terms of design specifications<br />

Natural frequencies in Hz (comments)<br />

1st<br />

2nd (1st vertical natural frequency)<br />

3rd<br />

4th (2nd vertical natural frequency)<br />

5th<br />

6th (3rd vertical natural frequency)<br />

7th<br />

8th<br />

9th<br />

10th<br />

Intact<br />

3 99<br />

11 98<br />

14 84<br />

19 68<br />

44 01<br />

69 22<br />

93 88<br />

104 45<br />

106 37<br />

108 49<br />

Severe damage (decrease w r t intact)<br />

3 29<br />

6 95 (41 98%)<br />

12 47<br />

18 08 (8 13%)<br />

39 19<br />

52 50 (24 15%)<br />

72 50<br />

L_ 95 00<br />

105 82<br />

108 17<br />

Figure 1 (left): Vibration tests of Bent 12 in the Trinity Relief River Bridge under excitations at the<br />

middle of the deck.<br />

Figure 2 (right): Bent 12 in intact stage, (a, top) Forcing function and (b, bottom) Recorded<br />

vibration at sensor 15.<br />

Figure 3a (left): Hilbert amplitude spectra of forcing function for vibration at sensor 15 of Bent 12 in<br />

intact stage.<br />

Figure 3b (right): Hilbert amplitude spectra of vibration at sensor 15 of Bent 12 in intact stage.

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