Research Article
Finding Damage Localizations of a Planar Truss Using Modal Strain Energy Change
Table 3
RFA of all elements for the first ten modes based on 5000 samples.
| Element | Mode 1 | Mode 2 | Mode 3 | Mode 4 | Mode 5 | Mode 6 | Mode 7 | Mode 8 | Mode 9 | Mode 10 |
| 1 | 1.182 | 1.206 | 1.146 | 1.291 | 0.984 | 1.064 | 1.100 | 0.918 | 0.904 | 0.662 | 2 | 66.805 | 21.216 | 20.537 | 1.143 | 3.264 | 6.521 | 1.430 | 3.989 | 1.060 | 0.588 | 3 | 694168.583 | 571.015 | 242.044 | 305.165 | 12.891 | 12.401 | 27.897 | 1.264 | 96.771 | 69.446 | 4 | 2.959 | 18.546 | 25.874 | 3.663 | 10.777 | 3.095 | 1.019 | 2.512 | 0.919 | 0.547 | 5 | 37.874 | 19.433 | 12.211 | 4.321 | 3.571 | 6.705 | 1.960 | 14.118 | 1.775 | 1.358 | 6 | 33.715 | 13.896 | 18.622 | 2.869 | 5.648 | 2.237 | 2.262 | 3.542 | 1.592 | 0.596 | 7 | 12.635 | 8.002 | 8.506 | 2.194 | 2.036 | 35.870 | 1.432 | 1.521 | 2.544 | 0.453 | 8 | 848607.338 | 603.801 | 67.162 | 72.043 | 1.007 | 1.223 | 10.179 | 1.149 | 40.793 | 40.067 | 9 | 1.927 | 7.783 | 13.815 | 1.667 | 16.961 | 1.743 | 3.072 | 1.449 | 1.883 | 0.500 | 10 | 102.102 | 147.828 | 20.784 | 10.419 | 10.409 | 1.604 | 1.289 | 0.858 | 1.977 | 0.727 | 11 | 93.771 | 37.769 | 3231.261 | 29.130 | 2.567 | 4.992 | 1.145 | 4.087 | 1.517 | 1.074 | 12 | 7.106 | 8.897 | 7.946 | 54.439 | 1.039 | 1.427 | 1.321 | 2.791 | 2.304 | 1.236 | 13 | 696809.642 | 201.285 | 15.709 | 22.898 | 6.881 | 8.118 | 7.643 | 0.830 | 1763.166 | 56.318 | 14 | 2.756 | 6.079 | 56.808 | 1.064 | 1.772 | 3.393 | 1.318 | 3.976 | 3.631 | 1.517 | 15 | 355.872 | 50.033 | 738.051 | 2.214 | 20.433 | 1.533 | 2.185 | 3.124 | 1.117 | 1.755 | 16 | 310.576 | 58046.525 | 16.115 | 2.854 | 1.177 | 22.278 | 7.636 | 0.981 | 1.193 | 1.523 | 17 | 5.150 | 73.595 | 6.218 | 1.975 | 1.433 | 2.542 | 1.414 | 19.800 | 1.151 | 0.537 | 18 | 415184.882 | 16.388 | 8.815 | 56.444 | 1.754 | 2.141 | 16651.839 | 2.556 | 1.077 | 14.424 | 19 | 3.790 | 6.094 | 17.193 | 1.086 | 1.834 | 9.851 | 3.881 | 10.489 | 1.178 | 3.431 | 20 | 2238.547 | 11.099 | 39.441 | 3.977 | 1.473 | 5.960 | 1.825 | 13.747 | 1.672 | 0.997 | 21 | 5591.630 | 31.153 | 7.413 | 11.384 | 11.340 | 1.227 | 1.490 | 14.934 | 1.100 | 0.739 | 22 | 3.809 | 16.723 | 25.062 | 1.317 | 2.317 | 14.994 | 2.921 | 2.737 | 1.502 | 1.083 | 23 | 390811.762 | 29.762 | 24.784 | 21.538 | 11.750 | 46.752 | 7.612 | 1.259 | 30.240 | 304265.773 | 24 | 6.618 | 28.130 | 5.991 | 2.215 | 5.521 | 2.097 | 1.151 | 2.809 | 1.633 | 0.658 | 25 | 7104.093 | 7.025 | 220.131 | 7.568 | 2.355 | 8.558 | 1.488 | 12.037 | 1.265 | 0.888 | 26 | 3912.675 | 20.857 | 7.225 | 3.838 | 6.857 | 2.808 | 1.282 | 1.691 | 1.973 | 1.427 | 27 | 3.194 | 6.362 | 717.301 | 31.821 | 4.172 | 5.672 | 1.136 | 2.206 | 3.738 | 1.182 | 28 | 105034.178 | 60.258 | 19.701 | 46.713 | 51.182 | 8.911 | 11.000 | 0.956 | 1026.552 | 7.741 | 29 | 8.429 | 7.918 | 3.324 | 2.556 | 12.571 | 8.238 | 1.046 | 1.580 | 2.061 | 0.780 | 30 | 376.689 | 9.473 | 8.069 | 3.678 | 14.814 | 2.999 | 1.673 | 0.613 | 1.406 | 1.548 | 31 | 342.848 | 242.076 | 13.517 | 2.040 | 3.910 | 3.581 | 10.612 | 1.404 | 1.122 | 1.867 | 32 | 1.694 | 3.098 | 10.337 | 2.285 | 10.063 | 18.386 | 3.733 | 3.142 | 1.219 | 0.574 | 33 | 41569.701 | 40.179 | 9.353 | 74.833 | 8.983 | 9.808 | 14.658 | 151.314 | 11.205 | 18.625 | 34 | 14.170 | 6.034 | 1.922 | 1.420 | 11.979 | 3.376 | 1.513 | 4.843 | 2.013 | 0.519 | 35 | 98.570 | 13.704 | 4.441 | 470.300 | 2.899 | 84.483 | 1.877 | 7.033 | 1.290 | 1.480 | 36 | 84.501 | 28.524 | 184.576 | 11.396 | 3.118 | 3.147 | 0.989 | 4.237 | 1.668 | 0.490 | 37 | 1.360 | 1.415 | 3.392 | 1.744 | 2.204 | 5.168 | 2.560 | 5.972 | 15.776 | 2.076 | 38 | 1.134 | 1.454 | 1.224 | 1.331 | 1.107 | 1.244 | 0.964 | 0.952 | 1.165 | 0.708 | 39 | 69.443 | 12.231 | 4.426 | 4.004 | 4.905 | 3.047 | 1.229 | 5.392 | 1.139 | 0.630 | 40 | 25.640 | 48.586 | 1.278 | 3.450 | 2.055 | 1.946 | 1.869 | 5.788 | 3.575 | 1.224 | 41 | 38.847 | 8.614 | 11.455 | 4.789 | 11.079 | 2.499 | 2.335 | 2.968 | 1.706 | 0.911 |
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