An Edge-Based Smoothed Finite Element for Free Vibration Analysis of Functionally Graded Porous (FGP) Plates on Elastic Foundation Taking into Mass (EFTIM)

Table 5

Nondimensional frequencies of the FGP plate with different K₁ and K₂.

Case of Porosity distribution	K2	K1
		100	250	500	750	1000
Case 1; (SSSS)	10	0.8583	0.8929	0.9477	0.9995	1.0488
	25	0.9258	0.9579	1.0092	1.0580	1.1047
	50	1.0285	1.0575	1.1042	1.1490	1.1921
	75	1.1218	1.1485	1.1916	1.2332	1.2734
	100	1.2079	1.2327	1.2730	1.3120	1.3499
Case 2; (SSSS)	10	0.8113	0.8452	0.8988	0.9493	0.9973
	25	0.8775	0.9089	0.9589	1.0064	1.0518
	50	0.9778	1.0061	1.0515	1.0950	1.1369
	75	1.0687	1.0947	1.1365	1.1769	1.2160
	100	1.1525	1.1765	1.2156	1.2534	1.2902
Case 3; (SSSS)	10	0.9538	1.0009	1.0747	1.1438	1.2090
	25	1.0452	1.0883	1.1566	1.2211	1.2823
	50	1.1819	1.2202	1.2815	1.3400	1.3960
	75	1.3044	1.3392	1.3953	1.4492	1.5011
	100	1.4163	1.4484	1.5004	1.5507	1.5993