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

Table 7

Nondimensional frequencies of the FGP plate as a function of k and .

Ω	SSSS					CCCC
	k					k
	0	2.5	5	7.5	10	0	2.5	5	7.5	10
Case 1
0	0.6146	0.8460	0.9468	1.0184	1.0706	1.0275	1.2153	1.3432	1.4571	1.5444
0.25	0.6584	0.8830	0.9777	1.0469	1.0984	1.0935	1.2518	1.3694	1.4783	1.5633
0.5	0.7126	0.9238	1.0105	1.0767	1.1273	1.1732	1.2869	1.3930	1.4958	1.5780
0.75	0.7820	0.9677	1.0446	1.1070	1.1564	1.2711	1.3154	1.4102	1.5061	1.5848
1	0.8745	1.0105	1.0776	1.1357	1.1836	1.3924	1.3226	1.4130	1.5021	1.5766
Case 2
0	0.6146	0.8460	0.9468	1.0184	1.0706	1.0275	1.2153	1.3432	1.4571	1.5444
0.25	0.6609	0.8604	0.9563	1.0288	1.0833	1.0977	1.2011	1.3156	1.4273	1.5162
0.5	0.7162	0.8685	0.9569	1.0299	1.0871	1.1707	1.1651	1.2611	1.3675	1.4564
0.75	0.7777	0.8600	0.9357	1.0073	1.0671	1.2179	1.0868	1.1556	1.2496	1.3342
1	0.7852	0.7972	0.8420	0.9009	0.9580	1.0347	0.9106	0.9310	0.9904	1.0547
Case 3
0	0.6146	0.8460	0.9468	1.0184	1.0706	1.0275	1.2153	1.3432	1.4571	1.5444
0.25	0.6609	0.9413	1.0475	1.1196	1.1714	1.0977	1.3661	1.5012	1.6147	1.6994
0.5	0.7162	1.0785	1.1908	1.2621	1.3122	1.1707	1.5836	1.7243	1.8317	1.9084
0.75	0.7777	1.3066	1.4256	1.4917	1.5363	1.2179	1.9297	2.0656	2.1484	2.2018
1	0.7852	1.8589	1.9631	1.9772	1.9807	1.0347	2.4083	2.4138	2.3588	2.3246