Research Article
Structural Damage Detection Using Nonlinear Vibrations
Table 2
First 20 eigenfrequencies for the undamaged panel and for the three damages with their % variations.
| Mode | (Hz) | D2, (Hz) | D2, % | D3, (Hz) | D3, % | D5, (Hz) | D5, % |
| 1 | 7.95 | 7.79 | −2.01 | 7.95 | 0.00 | 7.83 | −1.51 | 2 | 11.38 | 11.37 | −0.09 | 11.38 | 0.00 | 11.38 | 0.00 | 3 | 23.67 | 23.44 | −0.97 | 23.67 | 0.00 | 23.51 | −0.68 | 4 | 27.90 | 26.67 | −4.41 | 27.90 | 0.00 | 27.60 | −1.08 | 5 | 47.72 | 43.15 | −9.58 | 47.72 | 0.00 | 46.56 | −2.43 | 6 | 49.82 | 48.93 | −1.79 | 49.82 | 0.00 | 49.11 | −1.43 | 7 | 72.67 | 71.01 | −2.28 | 72.58 | −0.12 | 71.47 | −1.65 | 8 | 83.43 | 73.63 | −11.75 | 83.43 | 0.00 | 80.68 | −3.30 | 9 | 87.70 | 85.73 | −2.25 | 87.57 | −0.15 | 86.44 | −1.44 | — | — | 93.42 | — | — | — | — | — | 10 | 99.22 | 99.41 | 0.19 | 98.89 | −0.33 | 98.20 | −1.03 | 11 | 101.11 | 99.88 | −1.22 | 101.10 | −0.01 | 99.76 | −1.34 | 12 | 101.22 | 109.68 | 8.36 | 100.97 | −0.25 | 100.20 | −1.01 | 13 | 114.46 | 114.63 | 0.15 | 114.45 | −0.01 | 112.51 | −1.70 | 14 | 117.42 | 117.48 | 0.05 | 115.53 | −1.61 | 116.92 | −0.43 | 15 | 118.05 | 117.86 | −0.16 | 117.70 | −0.30 | 117.86 | −0.16 | 16 | 121.78 | 121.75 | −0.02 | 121.77 | −0.01 | 121.75 | −0.02 | 17 | 121.82 | 126.57 | 3.90 | 121.65 | −0.14 | 119.86 | −1.61 | 18 | 128.90 | 131.10 | 1.71 | 128.88 | −0.02 | 128.15 | −0.58 | 19 | 137.98 | 137.16 | −0.59 | 137.68 | −0.22 | 137.36 | −0.45 | 20 | 139.43 | 139.27 | −0.11 | 139.34 | −0.06 | 139.33 | −0.07 |
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