Research Article
Free Vibrations and Impact Resistance of a Functionally Graded Honeycomb Sandwich Plate
Table 3
Type A: 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 | 113.1143 | 119.1696 | 125.1222 | 130.5536 | 134.4407 | 132.8545 | 1 | 2 | 275.9721 | 290.6332 | 304.9596 | 317.8596 | 326.8175 | 323.2968 | 2 | 1 | 288.9092 | 304.2515 | 319.2424 | 332.7445 | 342.1682 | 338.6695 | 2 | 2 | 451.2983 | 475.0157 | 497.9900 | 518.2752 | 531.6414 | 525.1794 | 1 | 3 | 546.5282 | 575.1648 | 602.8417 | 627.1444 | 642.9709 | 636.4158 |
| 1 | 1 | 1 | 148.2252 | 161.6798 | 176.7878 | 193.6571 | 212.2255 | 231.0084 | 1 | 2 | 361.5727 | 394.2069 | 430.6859 | 470.9909 | 513.9364 | 550.1039 | 2 | 1 | 378.5149 | 412.6644 | 450.8250 | 492.9580 | 537.7648 | 575.2849 | 2 | 2 | 591.2158 | 644.2299 | 703.1958 | 767.6059 | 833.8414 | 878.1383 | 1 | 3 | 715.8673 | 779.8603 | 850.8524 | 927.9117 | 1005.5225 | 1049.0553 |
| 2 | 1 | 1 | 177.6786 | 192.2506 | 207.2047 | 222.1366 | 236.3566 | 246.6403 | 1 | 2 | 433.3435 | 468.6475 | 504.6524 | 540.0343 | 571.8150 | 583.0676 | 2 | 1 | 453.6414 | 490.5800 | 528.2335 | 565.1887 | 598.2265 | 608.9659 | 2 | 2 | 708.4573 | 765.7574 | 823.8039 | 879.8600 | 926.9166 | 923.8460 | 1 | 3 | 857.7251 | 926.8319 | 996.5809 | 1063.2875 | 1117.1166 | 1100.4585 |
| 5 | 1 | 1 | 211.5154 | 217.4290 | 224.2472 | 232.1923 | 241.0141 | 247.6679 | 1 | 2 | 515.5570 | 529.7031 | 545.8134 | 564.0796 | 582.5511 | 584.4944 | 2 | 1 | 539.6793 | 554.4651 | 571.2873 | 590.3178 | 609.4069 | 610.3341 | 2 | 2 | 842.3328 | 864.9783 | 890.4173 | 918.3691 | 943.4398 | 924.5607 | 1 | 3 | 1019.4419 | 1046.5443 | 1076.7582 | 1109.3650 | 1136.4637 | 1100.5041 |
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