A Semianalytical Approach for Free Vibration Characteristics of Functionally Graded Spherical Shell Based on First-Order Shear Deformation Theory

Table 3

Comparison of frequency parameter Ω with general boundary restraints.

n	F-F			F-C			C-F			C-C
	Present	Ref [29]	FEM	Present	Ref [29]	FEM	Present	Ref [29]	FEM	Present	Ref [29]	FEM
0	0.8719	0.8705	0.8705	0.8169	0.8166	0.8166	0.4053	0.4055	0.4060	0.9874	0.9871	0.9874
1	0.8669	0.8641	0.8643	0.6087	0.6088	0.6089	0.1517	0.1517	0.1518	1.0267	1.0264	1.0268
2	0.0572	0.0573	0.0573	0.3485	0.3486	0.3487	0.0763	0.0764	0.0764	1.0032	1.0029	1.0034
3	0.1532	0.1532	0.1533	0.6574	0.6573	0.6576	0.1541	0.1541	0.1542	0.9983	0.9980	0.9984
4	0.2789	0.2790	0.2792	0.9657	0.9654	0.9659	0.2790	0.2791	0.2793	1.0430	1.0427	1.0431
5	0.4293	0.4294	0.4300	1.1159	1.1156	1.1163	0.4293	0.4294	0.4300	1.1266	1.1262	1.1269
6	0.6018	0.6019	0.6032	1.2444	1.2440	1.2452	0.6018	0.6019	0.6032	1.2462	1.2458	1.2470
7	0.7955	0.7956	0.7981	1.4007	1.4003	1.4025	0.7955	0.7956	0.7981	1.4010	1.4006	1.4028
8	1.0104	1.0105	1.0148	1.5899	1.5893	1.5933	1.0104	1.0105	1.0148	1.5899	1.5894	1.5934
9	1.2467	1.2467	1.2537	1.8109	1.8103	1.8169	1.2467	1.2467	1.2537	1.8109	1.8103	1.8169