A Refined Higher-Order Hybrid Stress Quadrilateral Element for Free Vibration and Buckling Analyses of Reissner-Mindlin Plates

Table 10

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 [42]
1	10.2700	10.3095	10.4082	10.3109	10.2572	10.3613	10.3669	10.216
2	21.1535	21.4233	22.2198	21.6702	21.4981	21.6355	21.5152	21.260
3	21.1617	21.4283	22.2444	21.6900	21.4981	21.6356	21.5167	21.260
4	34.4423	35.2809	37.7461	36.3124	35.3941	35.6621	35.1192	34.880
5	34.4573	35.3685	37.7816	36.3816	35.5173	35.7071	35.2812	34.880
6	39.1472	40.1039	43.0344	41.3801	40.8975	40.7676	40.1565	39.771
7	49.6819	52.2399	57.8881	54.7796	52.2054	52.6337	51.3212	51.040
8	49.7157	52.2597	58.0836	54.8922	52.2054	52.6344	51.3358	51.040
9	58.8517	62.2179	68.7260	64.6300	63.2397	63.0358	61.0974	60.820
10	59.0184	62.2543	69.2354	65.1330	63.2397	63.0368	61.1017	60.820