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

Table 9

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

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	44.469	35.027	11.934	27.121	20.578	33.940	16.508	41.593	16.347
	5	30.024	23.414	7.849	17.890	18.659	23.195	16.508	29.195	16.363
	20	28.149	22.255	7.637	17.323	18.372	22.108	16.451	27.491	16.315
1-1-1	0.5	46.635	36.771	12.549	28.509	20.755	35.468	16.338	43.277	16.178
	5	34.280	26.468	8.724	19.955	19.113	26.042	16.396	32.954	16.240
	20	32.115	24.754	8.139	18.622	18.801	24.429	16.355	31.040	16.202
2-2-1	0.5	47.319	37.352	12.773	29.005	20.836	35.982	16.311	43.815	16.152
	5	36.114	27.952	9.251	21.140	19.373	27.426	16.425	34.560	16.266
	20	34.053	26.301	8.677	19.836	19.097	25.883	16.412	32.764	16.256
1-2-1	0.5	48.050	37.956	12.996	29.503	20.905	36.508	16.261	44.370	16.102
	5	38.089	29.524	9.790	22.372	19.591	28.880	16.376	36.236	16.217
	20	35.966	27.787	9.166	20.966	19.301	27.267	16.361	34.412	16.203
1-8-1	0.5	51.195	40.668	14.066	31.858	21.294	38.879	16.129	46.770	15.972
	5	47.136	37.121	12.641	28.733	20.742	35.754	16.232	43.632	16.073
	20	46.164	36.284	12.313	28.009	20.613	35.008	16.253	42.864	16.093