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

Table 3

Comparison of the fundamental frequency for Type 1-1 (1-0-0) annular sector plate with different boundary conditions and some values of , , , and .

Present	DQM [38]	Present	DQM [38]	Present	DQM [38]	Present	DQM [38]
			SCSC
45	0.1	0.5	194.8160	194.9900	166.2082	166.3153	150.2243	150.2992	136.4071	136.4535
		0.7	476.2485	476.6814	406.1966	406.4655	367.1207	367.3109	333.4284	333.5481
	0.2	0.5	163.4673	163.6200	141.1496	141.2456	128.2058	128.2741	116.1314	116.1744
		0.7	401.6972	402.0732	347.0488	347.2862	315.3959	315.5654	285.8517	285.9592
			SSSS
120	0.1	0.5	84.6916	84.7699	71.8487	71.8978	64.7832	64.8181	58.8727	58.8950
		0.7	218.2320	218.4339	185.1097	185.2357	166.8971	166.9869	151.6765	151.7341
	0.2	0.5	80.1166	80.1911	68.2517	68.2982	61.6182	61.6513	55.9117	55.9327
		0.7	170.8277	170.9907	153.3271	153.4349	142.0979	142.1771	128.3715	128.4221
			SCSS
240	0.1	0.5	113.6641	113.7661	96.6646	96.7273	87.2537	87.2977	79.2726	79.3000
		0.7	318.2095	318.4965	270.5833	270.7604	244.2267	244.3514	221.8914	221.9694
	0.2	0.5	101.6405	101.7348	87.2198	87.2789	79.0084	79.0504	71.6453	71.6718
		0.7	285.3312	285.5963	244.7812	244.9474	221.7106	221.8287	201.0608	201.1356
			SCSF
360	0.1	0.5	25.4430	25.4653	21.5680	21.5816	19.4433	19.4527	17.6757	17.6815
		0.7	72.2176	72.2815	61.2110	61.2499	55.1774	55.2045	50.1612	50.1778
	0.2	0.5	24.7384	24.7610	21.0203	21.0343	18.9649	18.9748	17.2290	17.2352
		0.7	70.4067	70.4710	59.7989	59.8388	53.9394	53.9677	49.0017	49.0195