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

Table 7

Fundamental frequency parameter for Type 2-1 annular sector plate with various boundary conditions ( = 0.5, = 0.2, , and = 240°).

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	68.585	68.501	68.095	35.473	30.189	65.252	18.993	65.111	18.894
	5	57.232	57.154	56.819	27.694	28.656	55.339	19.421	55.201	19.333
	20	51.863	51.794	51.485	25.214	27.396	50.437	19.349	50.309	19.267
1-1-1	0.5	75.442	75.355	74.899	40.403	31.030	70.824	18.495	70.659	18.390
	5	70.101	70.017	69.597	36.811	30.281	66.526	18.861	66.388	18.761
	20	69.015	68.931	68.520	35.845	30.216	65.635	18.955	65.499	18.856
2-2-1	0.5	80.246	80.151	79.669	42.453	32.156	74.609	18.278	74.417	18.170
	5	72.233	72.149	71.713	38.569	30.463	68.252	18.680	68.104	18.578
	20	70.785	70.701	70.275	37.509	30.290	67.079	18.787	66.938	18.686
1-2-1	0.5	77.281	77.191	76.727	40.949	31.549	72.308	18.454	72.131	18.348
	5	68.712	68.627	68.221	35.452	30.246	65.384	18.997	65.248	18.898
	20	66.897	66.812	66.421	33.868	30.136	63.863	19.135	63.730	19.038
1-8-1	0.5	81.224	81.125	80.641	41.890	32.816	75.469	18.390	75.266	18.281
	5	65.437	65.352	64.973	32.732	30.000	62.600	19.223	62.463	19.127
	20	61.124	61.040	60.688	29.688	29.473	58.836	19.396	58.698	19.304