Research Article
A Refined Higher-Order Hybrid Stress Quadrilateral Element for Free Vibration and Buckling Analyses of Reissner-Mindlin Plates
Table 11
Ten lowest parameterized natural frequencies
of a clamped circular plate with
.
| Mode | NS-ES-FEM | S8R | MIN3 | ES-FEM+DSG3 | ANS4 | QH8-RCV | QH8-LV | Ref. sol [43] |
| 1 | 9.2460 | 9.2539 | 9.9682 | 9.3262 | 9.2605 | 9.3380 | 9.4444 | 9.240 | 2 | 17.6424 | 17.8115 | 20.306 | 18.0461 | 17.9469 | 17.8602 | 18.1926 | 17.834 | 3 | 17.6461 | 17.8115 | 20.3256 | 18.0673 | 17.9469 | 17.8603 | 18.1938 | 17.834 | 4 | 26.5699 | 27.0923 | 32.7800 | 27.8438 | 27.0345 | 26.9746 | 27.5602 | 27.214 | 5 | 26.5740 | 27.1650 | 32.7905 | 27.8856 | 27.6566 | 26.9836 | 27.6854 | 27.214 | 6 | 29.7654 | 30.4101 | 37.1591 | 31.1280 | 30.3221 | 30.0846 | 30.8631 | 30.211 | 7 | 35.5595 | 33.8815 | 47.5437 | 38.6936 | 37.2579 | 36.5419 | 37.3990 | 37.109 | 8 | 35.5999 | 33.8848 | 47.5993 | 38.7042 | 37.2579 | 36.5431 | 37.4096 | 37.109 | 9 | 41.0560 | 37.0290 | 55.3530 | 44.1130 | 43.2702 | 41.8999 | 42.8445 | 42.409 | 10 | 41.1226 | 37.0324 | 55.6608 | 44.3286 | 43.2702 | 41.9011 | 42.8465 | 42.409 |
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