Benchmark Solution for Free Vibration of Moderately Thick Functionally Graded Sandwich Sector Plates on Two-Parameter Elastic Foundation with General Boundary Conditions

Table 5

Fundamental frequency parameter Ω for Type 1-1 annular sector plate with various boundary conditions ( = 0.5, = 0.2, , and = 120°).

Scheme		Boundary conditions
		CCCC	CSDCSD	CFCF	SSSS	CE^1E^1E^1	E^2SE^2S	E^1E^1E^1E^1	E^2E^2E^2E^2	E^3E^3E^3E^3
1-0-1	0.5	83.742	82.842	81.118	55.349	34.047	77.251	19.655	77.934	19.545
	5	57.995	57.391	56.216	36.938	28.436	55.623	20.461	56.131	20.360
	20	52.505	51.933	50.852	35.162	27.747	50.698	20.557	51.178	20.462
1-1-1	0.5	87.605	86.661	84.854	58.112	34.924	80.210	19.393	80.911	19.284
	5	68.130	67.450	66.062	41.725	29.797	64.338	19.966	64.903	19.857
	20	64.141	63.505	62.199	39.006	29.012	60.936	20.079	61.470	19.972
2-2-1	0.5	88.644	87.685	85.855	59.033	35.226	81.021	19.345	81.727	19.236
	5	71.264	70.549	69.100	45.066	30.500	66.988	19.886	67.583	19.777
	20	67.600	66.928	65.555	43.306	29.726	63.908	19.999	64.476	19.891
1-2-1	0.5	89.857	88.883	87.024	59.994	35.536	81.935	19.268	82.645	19.160
	5	74.871	74.112	72.585	46.578	31.236	69.935	19.723	70.550	19.614
	20	71.362	70.648	69.192	43.815	30.395	67.028	19.815	67.615	19.706
1-8-1	0.5	94.455	93.414	91.443	64.301	36.964	85.462	19.044	86.188	18.944
	5	88.816	87.863	86.032	58.664	35.090	81.072	19.253	81.776	19.145
	20	87.424	86.492	84.694	57.332	34.652	79.981	19.300	80.678	19.191