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

Table 8

Fundamental frequency parameter Ω for Type 2-2 annular sector plate with various boundary conditions (, = 0.2, , and = 350°).

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
0-1-1	0.5	88.492	88.459	88.180	43.936	34.434	80.910	17.573	80.937	17.470
	5	75.956	75.929	75.677	39.875	30.844	71.202	18.046	71.227	17.952
	20	73.509	73.483	73.235	38.734	30.337	69.250	18.167	69.275	18.075
1-1-1	0.5	75.223	75.197	74.946	39.359	30.759	70.633	18.110	70.659	18.017
	5	69.903	69.878	69.642	35.863	30.034	66.362	18.485	66.388	18.396
	20	68.819	68.794	68.563	34.922	29.974	65.474	18.580	65.499	18.492
2-2-1	0.5	72.482	72.456	72.214	37.588	30.375	68.454	18.311	68.479	18.220
	5	66.472	66.446	66.231	32.806	29.890	63.505	18.780	63.531	18.694
	20	64.791	64.765	64.561	31.458	29.771	62.068	18.888	62.093	18.804
1-2-1	0.5	77.052	77.025	76.773	39.890	31.273	72.105	18.066	72.131	17.971
	5	68.515	68.489	68.262	34.539	30.006	65.222	18.622	65.248	18.534
	20	66.702	66.676	66.460	32.995	29.904	63.704	18.763	63.730	18.677
1-8-1	0.5	80.972	80.942	80.685	40.804	32.530	75.240	17.995	75.266	17.897
	5	65.240	65.214	65.008	31.888	29.774	62.438	18.854	62.463	18.769
	20	60.927	60.902	60.716	28.921	29.262	58.674	19.039	58.698	18.957