Review Article
A Gradient Stable Node-Based Smoothed Discrete Shear Gap Method for Analysis of Reissner–Mindlin Plates
Table 2
A nondimensional frequency parameter
of an SSSS plate (
a/
b) = 1).
| t/a | Method | Mode sequence number | 1 | 2 | 3 | 4 | 5 | 6 |
| 0.005 | FEM-DSG | 4.8067 | 8.5038 | 9.2631 | 12.3353 | 16.6573 | 17.9400 | 4.5190 | 7.3529 | 7.5123 | 9.7058 | 11.2071 | 11.2798 | 4.4545 | 7.0943 | 7.1344 | 9.0748 | 10.2148 | 10.2180 | 4.4440 | 7.0499 | 7.0680 | 8.9591 | 10.0481 | 10.0521 | NS-FEM | 3.8523 | 4.6180 | 4.6696 | 5.4803 | 5.5805 | 5.7068 | 4.2873 | 4.7464 | 4.9528 | 5.4243 | 5.9702 | 6.2474 | 4.3931 | 4.8182 | 4.8238 | 5.2862 | 5.8463 | 6.1054 | 4.4156 | 4.7659 | 4.7660 | 5.4864 | 6.2891 | 6.2921 | NS-DSG | 4.1952 | 6.2489 | 6.3781 | 7.4032 | 7.5154 | 8.2944 | 4.3191 | 6.7445 | 6.7573 | 8.4370 | 9.3131 | 9.3758 | 4.3853 | 6.9234 | 6.9248 | 8.7009 | 9.7366 | 9.7462 | 4.4053 | 6.9658 | 6.9667 | 8.7753 | 9.8308 | 9.8348 | GS-DSG | 4.2893 | 6.7888 | 6.9313 | 8.3816 | 9.5817 | 9.6035 | 4.3637 | 6.8888 | 6.8966 | 8.6707 | 9.6991 | 9.7403 | 4.4101 | 6.9687 | 6.9729 | 8.7846 | 9.8260 | 9.8393 | 4.4228 | 6.9918 | 6.9945 | 8.8249 | 9.8738 | 9.8807 | Reference [72] | 4.443 | 7.025 | 7.025 | 8.886 | 9.935 | 9.935 |
| 0.1 | FEM-DSG | 4.6700 | 7.9713 | 8.5811 | 10.3261 | 10.6011 | 10.6017 | 4.3964 | 6.9971 | 7.1328 | 8.9615 | 9.7532 | 10.1849 | 4.3200 | 6.7565 | 6.7874 | 8.4201 | 9.4119 | 9.4185 | 4.3012 | 6.7086 | 6.7216 | 8.3093 | 9.2733 | 9.2794 | NS-FEM | 3.7366 | 4.4102 | 4.4397 | 5.1403 | 5.2270 | 5.3701 | 4.1438 | 4.4389 | 4.5862 | 5.0152 | 5.4576 | 5.6616 | 4.2327 | 4.4534 | 4.4553 | 4.8923 | 5.3434 | 5.5359 | 4.2534 | 4.4057 | 4.4058 | 5.0280 | 5.6971 | 5.6991 | NS-DSG | 4.1026 | 5.9418 | 6.0366 | 6.7521 | 6.7843 | 7.1540 | 4.2175 | 6.4611 | 6.4728 | 7.3821 | 7.6795 | 7.7982 | 4.2675 | 6.6158 | 6.6158 | 7.6205 | 7.8446 | 7.8451 | 4.2759 | 6.6439 | 6.6458 | 7.7018 | 7.8603 | 7.8604 | GS-DSG | 4.1863 | 6.4643 | 6.5416 | 7.7482 | 8.5051 | 8.6428 | 4.2546 | 6.5859 | 6.5877 | 8.0866 | 8.9413 | 8.9637 | 4.2816 | 6.6463 | 6.6487 | 8.1817 | 9.0967 | 9.0979 | 4.2830 | 6.6576 | 6.6593 | 8.2002 | 9.1314 | 9.1365 | Reference [72] | 4.37 | 6.74 | 6.74 | 8.35 | 9.22 | 9.22 |
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