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

Table 13

Comparison of frequency parameters for Type 1-1 (1-0-0) annular sector plates on Winkler foundations with various boundary conditions ( = 0.5, = 90°, = 0.2, and ).

(KW, KG)	Mode number	CCCC			FFFF			CSCS
		Present	FEM	Error (%)	Present	FEM	Error (%)	Present	FEM	Error (%)
(10, 0)	1	101.04	101.61	0.56	27.05	27.24	0.70	98.73	99.29	0.57
	2	119.56	120.17	0.51	37.04	37.25	0.56	113.70	114.26	0.49
	3	148.92	149.68	0.51	50.79	50.81	0.03	128.81	129.06	0.19
	4	154.35	154.56	0.14	58.99	59.17	0.31	141.92	142.58	0.47
	5	184.85	185.88	0.55	77.94	78.16	0.28	152.79	153.00	0.14
	6	196.96	198.36	0.71	87.03	87.05	0.03	178.77	179.68	0.51
(100, 0)	1	101.56	102.55	0.97	28.74	28.91	0.59	99.25	100.25	0.99
	2	119.99	120.95	0.79	38.28	38.58	0.77	114.14	115.07	0.80
	3	149.25	150.29	0.69	50.79	50.81	0.03	128.81	129.06	0.19
	4	154.35	154.56	0.14	59.75	60.18	0.72	142.27	143.21	0.66
	5	185.12	186.35	0.66	78.52	78.73	0.28	152.79	153.00	0.14
	6	197.21	198.82	0.81	87.03	87.05	0.03	179.04	180.17	0.62