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

Table 10

Fundamental frequency parameter for Type 1-2 circular sector plate with various boundary conditions ( = 0.2, , and = 60°).

Scheme		Boundary conditions
		CCC	CSDC	CFC	SSS	CE^1E^1	E^2SE^2	E^1E^1E^1	E^2E^2E^2	E^3E^3E^3
1-0-1	0.5	83.200	73.456	40.445	60.463	32.862	70.464	20.773	77.188	20.663
	5	62.649	55.874	31.352	47.089	29.586	54.879	21.972	60.223	21.858
	20	52.107	46.162	25.564	38.308	27.380	45.696	21.864	50.698	21.752
1-1-1	0.5	77.305	68.797	38.470	57.830	32.230	66.602	21.397	72.678	21.285
	5	58.402	52.026	29.124	43.810	28.742	51.273	21.991	56.435	21.877
	20	50.174	44.333	24.428	36.538	26.941	43.941	21.785	48.911	21.675
2-2-1	0.5	74.936	66.600	37.159	55.808	31.740	64.596	21.502	70.726	21.389
	5	57.199	50.864	28.387	42.649	28.467	50.157	21.972	55.348	21.859
	20	49.715	43.889	24.145	36.093	26.832	43.512	21.762	48.485	21.653
1-2-1	0.5	72.846	65.036	36.585	54.502	31.548	63.294	21.685	69.030	21.572
	5	55.899	49.717	27.745	41.689	28.216	49.087	21.963	54.170	21.850
	20	49.119	43.328	23.799	35.556	26.696	42.975	21.733	47.931	21.624
1-8-1	0.5	60.581	54.097	30.426	45.333	29.232	53.231	22.008	58.397	21.894
	5	50.394	44.544	24.562	36.749	26.992	44.144	21.795	49.116	21.685
	20	47.025	41.327	22.539	33.583	26.201	41.044	21.612	45.978	21.504