A Finite Element Formulation and Nonlocal Theory for the Static and Free Vibration Analysis of the Sandwich Functionally Graded Nanoplates Resting on Elastic Foundation

Table 8

The variation of the dimensionless frequencies of sandwich FG square nanoplate versus the variations of power-law index .

		0	2.5	5	7.5	10
1	2-1-2	1.9283	1.4328	1.3874	1.3768	1.3732
	2-1-1	1.9286	1.4575	1.4114	1.4000	1.3959
	2-2-1	1.9290	1.4992	1.4456	1.4285	1.4207
	1-2-1	1.9292	1.5345	1.4794	1.4598	1.4502
	1-8-1	1.9307	1.7414	1.7109	1.6988	1.6922
2	2-1-2	1.8215	1.3836	1.3452	1.3366	1.3340
	2-1-1	1.8218	1.4049	1.3656	1.3562	1.3530
	2-2-1	1.8221	1.4402	1.3936	1.3790	1.3723
	1-2-1	1.8223	1.4706	1.4223	1.4053	1.3969
	1-8-1	1.8237	1.6538	1.6266	1.6157	1.6099
3	2-1-2	1.7369	1.3454	1.3126	1.3057	1.3037
	2-1-1	1.7372	1.3640	1.3302	1.3224	1.3198
	2-2-1	1.7375	1.3942	1.3533	1.3405	1.3348
	1-2-1	1.7376	1.4207	1.3779	1.3629	1.3555
	1-8-1	1.7390	1.5848	1.5602	1.5504	1.5452
4	2-1-2	1.6681	1.3149	1.2866	1.2810	1.2796
	2-1-1	1.6684	1.3313	1.3019	1.2954	1.2934
	2-2-1	1.6686	1.3574	1.3210	1.3098	1.3048
	1-2-1	1.6688	1.3806	1.3423	1.3289	1.3224
	1-8-1	1.6700	1.5289	1.5065	1.4976	1.4928