Free Vibration of Functionally Graded Sandwich Shallow Shells on Winkler and Pasternak Foundations with General Boundary Restraints

Table 3

Comparison of non-dimensional frequency parameters of simply supported square FG sandwich plates with homogeneous middle layer.

h/a	p	Theory
			1-0-1	1-1-1	1-2-1	2-1-2	2-2-1	1-8-1
0.01	0.5	3D [42]	1.48244	1.56046	1.61915	1.52355	1.59031	1.76357
		RPT [43]	1.48241	1.56042	1.61912	1.52353	1.59030	1.76354
		Present	1.48248	1.56023	1.61913	1.52358	1.59034	1.76359
	5	3D [42]	0.96563	1.06309	1.19699	0.99903	1.13020	1.56988
		RPT [43]	0.96564	1.06309	1.19697	0.99903	1.13019	1.56985
		Present	0.96566	1.06313	1.19697	0.99907	1.13024	1.56980
	10	3D [42]	0.95042	1.01237	1.14408	0.95934	1.08065	1.54164
		RPT [43]	0.95044	1.01236	1.14406	0.95937	1.08065	1.54162
		Present	0.95041	1.01234	1.14408	0.95935	1.08065	1.54166
0.1	0.5	3D [42]	1.44614	1.52131	1.57668	1.48608	1.54926	1.71130
		RPT [43]	1.44423	1.51921	1.57450	1.48408	1.54710	1.70901
		Present	1.44485	1.51975	1.57461	1.48415	1.54750	1.70920
	5	3D [42]	0.94476	1.04532	1.17567	0.98103	1.10983	1.52993
		RPT [43]	0.94598	1.04465	1.17396	0.98184	1.10881	1.52792
		Present	0.94552	1.04434	1.17355	0.98142	1.10874	1.52805
	10	3D [42]	0.92727	0.99523	1.12466	0.94078	1.06104	1.50333
		RPT [43]	0.92838	0.99550	1.12313	0.94296	1.06090	1.50138
		Present	0.92836	0.99550	1.12313	0.94295	1.06080	1.50137
0.2	0.5	3D [42]	1.35358	1.42178	1.46940	1.39053	1.44535	1.58186
		RPT [43]	1.34743	1.41508	1.46251	1.38410	1.43843	1.57476
		Present	1.35015	1.41682	1.46368	1.38515	1.43901	1.57592
	5	3D [42]	0.89086	0.99798	1.11900	0.93362	1.05607	1.42845
		RPT [43]	0.89462	0.99545	1.11318	0.93594	1.05228	1.42197
		Present	0.89504	0.99561	1.11285	0.93480	1.05496	1.42372
	10	3D [42]	0.86833	0.94984	1.07290	0.89228	1.00949	1.40568
		RPT [43]	0.87178	0.95033	1.06754	0.89918	1.00848	1.39932
		Present	0.86963	0.95012	1.06950	0.89541	1.00887	1.40105