An ES-MITC3 Finite Element Method Based on Higher-Order Shear Deformation Theory for Static and Free Vibration Analyses of FG Porous Plates Reinforced by GPLs

Table 2

Nondimensional natural frequencies of fully clamped FG porous square plates reinforced by GPLs with and .

GPLs pattern		Method	1	2	3	4	5	6
S-P
GPL-S	0.2	Yang	0.7075	1.4057	1.4057	2.0262	2.4337	2.4501
		Present	0.7073	1.4105	1.4219	2.0576	2.4835	2.5008
		MITC3	0.7151	1.4343	1.4517	2.1108	2.5571	2.5761
		MITC4	0.7101	1.4310	1.4322	2.0646	2.5430	2.5604
	0.4	Yang	0.7035	1.3957	1.3958	2.0099	2.4125	2.4290
		Present	0.6999	1.3915	1.4027	2.0251	2.4405	2.4579
		MITC3	0.7078	1.4154	1.4327	2.0791	2.5146	2.5338
		MITC4	0.7054	1.4202	1.4215	2.0474	2.5202	2.5376
	0.6	Yang	0.7017	1.3897	1.3897	1.9985	2.3968	2.4134
		Present	0.6936	1.3721	1.3830	1.9894	2.3914	2.4090
		MITC3	0.7017	1.3966	1.4138	2.0454	2.4672	2.0868
		MITC4	0.7037	1.4149	1.4164	2.0376	2.5059	2.5235
GPL-U	0.2	Yang	0.6383	1.2729	1.2729	1.8403	2.2147	2.2289
		Present	0.6424	1.2921	1.3029	1.8979	2.3009	2.3115
		MITC3	0.6493	1.3130	1.3289	1.9437	2.3656	2.3817
		MITC4	0.6381	1.2887	1.2893	1.8627	2.2980	2.3132
	0.4	Yang	0.6364	1.2674	1.2674	1.8301	2.2008	2.2152
		Present	0.6382	1.2807	1.2913	1.8774	2.2732	2.2881
		MITC3	0.6451	1.3016	1.3173	1.9234	2.3379	2.3542
		MITC4	0.6355	1.2821	1.2829	1.8518	2.2831	2.2989
	0.6	Yang	0.6379	1.2677	1.2677	1.8276	2.1955	2.2102
		Present	0.6371	1.2732	1.2836	1.8603	2.2479	2.2632
		MITC3	0.6440	1.2943	1.3100	1.9072	2.3132	2.3301
		MITC4	0.6372	1.2839	1.2848	1.8521	2.2815	2.2970