Research Article
Free Vibrations and Impact Resistance of a Functionally Graded Honeycomb Sandwich Plate
Table 4
Type B: the first five natural frequencies
of the simply supported FGH sandwich plate.
| Volume fraction index (N) | m | n | Core thickness (hc/m) | 0.004 | 0.005 | 0.006 | 0.007 | 0.008 | 0.009 |
| 0 | 1 | 1 | 93.8293 | 98.76310237 | 103.5649 | 107.8586 | 110.7274 | 108.5318 | 1 | 2 | 226.9837 | 238.1190884 | 248.6973 | 257.9076 | 264.0070 | 260.1520 | 2 | 1 | 237.2285 | 248.7270141 | 259.6171 | 269.0838 | 275.3979 | 271.6402 | 2 | 2 | 355.8742 | 369.0205917 | 380.7708 | 390.4503 | 396.5941 | 392.4074 | 1 | 3 | 414.6251 | 427.054062 | 438.0477 | 447.2150 | 453.5988 | 452.2424 |
| 1 | 1 | 1 | 93.9876 | 99.0091734 | 103.9421 | 108.4404 | 111.6602 | 110.3572 | 1 | 2 | 227.3491 | 238.6789793 | 249.5414 | 259.1763 | 265.9495 | 264.0463 | 2 | 1 | 237.6063 | 249.3051434 | 260.4864 | 270.3873 | 277.4007 | 275.7181 | 2 | 2 | 356.4367 | 369.9074751 | 382.1595 | 392.6546 | 400.2923 | 400.5990 | 1 | 3 | 415.2020 | 427.9615474 | 439.4731 | 449.5008 | 457.5133 | 461.1549 |
| 2 | 1 | 1 | 94.0404 | 99.0913374 | 104.0678 | 108.6324 | 111.9534 | 110.9047 | 1 | 2 | 227.4669 | 238.8557671 | 249.7981 | 259.5354 | 266.3934 | 264.7569 | 2 | 1 | 237.7276 | 249.4855364 | 260.7459 | 270.7446 | 277.8313 | 276.4339 | 2 | 2 | 356.5854 | 370.1171245 | 382.4453 | 393.0287 | 400.7142 | 401.2751 | 1 | 3 | 415.3283 | 428.1261526 | 439.6789 | 449.7417 | 457.7164 | 461.3341 |
| 5 | 1 | 1 | 94.0933 | 99.17355126 | 104.1936 | 108.8238 | 112.2351 | 111.3560 | 1 | 2 | 227.5803 | 239.0210756 | 250.0285 | 259.8343 | 266.6629 | 264.7135 | 2 | 1 | 237.8432 | 249.6518918 | 260.9730 | 271.0286 | 278.0539 | 276.3188 | 2 | 2 | 356.7005 | 370.2522101 | 382.5782 | 393.0962 | 400.4581 | 399.8910 | 1 | 3 | 415.3939 | 428.1643223 | 439.6385 | 449.5104 | 456.9349 | 458.6987 |
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