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 6

Nondimensional natural frequencies of the FG porous square plates reinforced by GPLs with various thickness ratios and lengths (, , and ).

	S-P			A-P			U-P
	GPL-S	GPL-A	GPL-U	GPL- S	GPL-A	GPL-U	GPL- S	GPL-A	GPL-U
CCCC
20	0.6966	0.6237	0.6372	0.6413	0.5625	0.5834	0.6442	0.5736	0.5828
30	0.4781	0.4246	0.4338	0.4373	0.3810	0.3954	0.4392	0.3887	0.3949
40	0.3625	0.3209	0.3279	0.3308	0.2875	0.2984	0.3322	0.2933	0.2979
50	0.2915	0.2577	0.2633	0.2657	0.2306	0.2394	0.2668	0.2353	0.2391
SSSS
20	0.3952	0.3499	0.3576	0.3607	0.3134	0.3254	0.3623	0.3198	0.3250
30	0.2660	0.2349	0.2401	0.2423	0.2101	0.2181	0.2433	0.2144	0.2178
40	0.2001	0.1766	0.1805	0.1822	0.1579	0.1639	0.1830	0.1611	0.1637
50	0.1604	0.1415	0.1446	0.1459	0.1264	0.1313	0.1465	0.1290	0.1311