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. 2020 Aug 29;13(17):3820. doi: 10.3390/ma13173820

Table 9.

Nondimensional natural frequencies Ω of CFFF and CFSF FGM square plates; “*” denotes the in-plane displacement-dominated mode.

BC h/a m¯ Material Model Mode
1 2 3 4 5 6
CFFF 0.02 0 Power-Law 1.049 2.552 6.418 8.180 9.273 16.17
0.5 0.8888 2.162 5.437 6.930 7.857 13.70
2 0.7284 1.772 4.456 5.678 6.439 11.23
5 0.6907 1.680 4.224 5.383 6.102 10.63
0.1 0 Power-Law or M-T 1.038 2.439 6.079 6.581 * 7.716 8.546
0.5 Power-Law 0.8000 2.072 5.168 5.907 * 6.555 7.280
M-T 0.8089 1.960 4.879 5.606 * 6.186 6.877
2 Power-Law 0.7211 1.698 4.230 4.946 * 5.359 5.962
M-T 0.6973 1.643 4.087 4.650 * 5.176 5.759
5 Power-Law 0.6828 1.601 3.981 4.275 * 5.047 5.594
M-T 0.6666 1.564 3.886 4.073 * 4.926 5.457
CFSF 0.02 0 Power-Law 4.591 6.191 11.91 14.90 16.90 23.15
0.5 3.664 4.950 9.511 11.89 13.50 18.48
2 3.084 4.162 8.000 10.00 11.36 15.55
5 2.950 3.981 7.652 9.569 10.86 14.87
0.1 0 4.401 5.820 10.89 13.45 15.05 15.57 *
0.5 3.526 4.678 8.742 10.83 12.14 13.27 *
2 2.963 3.922 7.316 9.071 10.16 10.99 *
5 2.818 3.724 6.935 8.563 9.569 9.641 *