Free Vibration Analysis of Functionally Graded Spherical Torus Structure with Uniform Variable Thickness along Axial Direction

Table 3

Comparison of frequency for isotropic spherical shell with uniform variable thickness along axial direction.

n	m	F–F		F–C		C–F		C–C
		Present	FEM	Present	FEM	Present	FEM	Present	FEM
2	1	50.70	50.72	348.96	349.20	127.61	127.40	1036.78	1037.50
	2	117.05	117.21	927.65	928.12	907.42	907.32	1207.30	1209.00
	3	901.94	901.82	1244.97	1246.40	1183.24	1185.30	1864.31	1871.40
	4	939.14	939.61	1829.09	1832.80	1449.69	1450.90	2642.52	2653.80
4	1	271.99	272.20	479.32	480.13	275.06	275.26	998.93	999.58
	2	486.57	487.43	1042.06	1043.30	1012.90	1013.80	1354.10	1356.70
	3	1060.15	1061.10	1440.20	1443.10	1388.19	1391.00	2004.86	2012.60
	4	1475.23	1478.20	2094.70	2101.50	2030.25	2032.80	2890.96	2912.10
6	1	597.10	597.97	934.88	937.69	597.98	598.83	1140.47	1141.60
	2	944.78	947.81	1244.86	1247.40	1186.36	1188.00	1569.72	1573.20
	3	1300.91	1303.90	1725.41	1730.30	1641.09	1645.00	2244.57	2253.10
	4	1796.29	1801.50	2410.55	2419.70	2328.08	2337.00	3144.42	3166.80