Review Article
A Gradient Stable Node-Based Smoothed Discrete Shear Gap Method for Analysis of Reissner–Mindlin Plates
Table 4
A nondimensional frequency parameter
of a CCCC plate (
a/
b = 1).
| t/a | Method | Mode sequence number | 1 | 2 | 3 | 4 | 5 | 6 |
| 0.005 | FEM-DSG | 8.6743 | 14.6071 | 18.4781 | 22.1215 | 28.3891 | 29.1794 | 6.3839 | 9.4693 | 9.7732 | 12.4103 | 13.8892 | 14.2365 | 6.0740 | 8.7422 | 8.8097 | 10.8089 | 11.9473 | 11.9823 | 6.0284 | 8.6355 | 8.6554 | 10.5653 | 11.6629 | 11.6897 | NS-FEM | 4.8662 | 27.2994 | 27.4030 | 30.5485 | 31.2468 | 33.7182 | 5.5113 | 5.6369 | 5.6908 | 6.1573 | 6.7345 | 6.8578 | 5.1463 | 5.1567 | 5.6597 | 5.8989 | 6.2153 | 6.5428 | 4.9637 | 4.9639 | 5.7411 | 5.9520 | 6.5102 | 6.5153 | NS-DSG | 6.2399 | 7.7833 | 14.5143 | 16.8787 | 18.5504 | 19.4584 | 8.8488 | 8.0945 | 8.2608 | 9.9613 | 10.4157 | 10.8271 | 5.9356 | 8.3981 | 8.4178 | 10.1743 | 11.1144 | 11.1576 | 5.9660 | 8.4810 | 8.4879 | 10.2770 | 11.2890 | 11.3201 | GS-DSG | 7.1391 | 10.4788 | 14.7362 | 17.0639 | 18.8060 | 19.5371 | 5.9902 | 8.4671 | 8.6174 | 10.6220 | 11.2868 | 11.6486 | 5.9694 | 8.4856 | 8.5019 | 10.3112 | 11.3058 | 11.3398 | 5.9807 | 8.5191 | 8.5249 | 10.3363 | 11.3724 | 11.4008 | Reference [73] | 5.999 | 8.568 | 8.568 | 10.407 | 11.472 | 11.498 |
| 0.1 | FEM-DSG | 7.0255 | 10.2284 | 11.3539 | 11.3850 | 11.8340 | 12.8015 | 5.9576 | 8.4011 | 8.6489 | 10.3774 | 11.2084 | 11.3691 | 5.7609 | 7.9968 | 8.0525 | 9.5838 | 10.4278 | 10.4803 | 5.7274 | 7.9271 | 7.9514 | 9.4369 | 10.2517 | 10.2995 | NS-FEM | 4.6154 | 6.3432 | 6.7867 | 6.8568 | 7.0858 | 7.6405 | 4.8119 | 4.9749 | 5.3796 | 5.4743 | 5.9144 | 5.9380 | 4.5501 | 4.5572 | 5.1111 | 5.5108 | 5.6206 | 5.7290 | 4.4494 | 4.4494 | 5.2545 | 5.6658 | 5.7524 | 5.7533 | NS-DSG | 5.7131 | 7.0630 | 7.8426 | 8.2222 | 8.3801 | 8.4698 | 5.5540 | 7.4852 | 7.5508 | 7.7638 | 7.9153 | 8.2500 | 5.6544 | 7.7558 | 7.7675 | 7.9294 | 7.9310 | 8.0354 | 5.6797 | 7.8190 | 7.8242 | 7.9132 | 7.9133 | 7.9705 | GS-DSG | 6.1305 | 8.3987 | 8.9986 | 10.2059 | 10.3095 | 10.3511 | 5.6505 | 7.7377 | 7.7683 | 9.2385 | 9.8542 | 9.8966 | 5.6787 | 7.8130 | 7.8225 | 9.2477 | 9.9985 | 10.0421 | 5.6902 | 7.8433 | 7.8479 | 9.2831 | 10.0575 | 10.1036 | Reference [73] | 5.71 | 7.88 | 7.88 | 9.33 | 10.13 | 10.18 |
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