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

Table 6

Frequency parameters Ω of FG spherical shell with respect to h/R_c ratio (FGM_I).

Type	h/Rc	n	m	F-C	F-SD	F-SS	F-E1	F-E2	F-E3
FGMI	0.04	1	1	0.54344	0.42713	0.52984	0.04785	0.27188	0.04321
			2	0.86399	0.59557	0.84739	0.68602	0.85997	0.31569
			3	1.00929	0.70402	0.98272	0.89117	1.00785	0.86468
		2	1	0.84853	0.81306	0.84746	0.82001	0.75363	0.53557
			2	0.96210	0.93137	0.94453	0.95163	0.93530	0.92109
			3	1.12571	1.07903	1.08136	1.12178	1.10991	1.07517
	0.06	1	1	0.55340	0.48218	0.53503	0.05742	0.30329	0.05004
			2	0.89936	0.64218	0.87389	0.69093	0.89492	0.34678
			3	1.13469	0.83102	1.08917	0.93086	1.13412	0.90077
		2	1	0.86378	0.82197	0.85813	0.83505	0.77590	0.58330
			2	1.03940	0.99086	1.00007	1.03029	1.01109	0.98341
			3	1.33114	1.14956	1.25544	1.15179	1.31606	1.11611
	0.08	1	1	0.56287	0.68774	0.53993	0.06686	0.32824	0.05714
			2	0.94269	0.93894	0.90730	0.69686	0.93792	0.37104
			3	1.26972	1.13681	1.21402	0.98110	1.15625	0.94541
		2	1	0.88332	0.83372	0.87022	0.85431	0.79943	0.62085
			2	1.13235	1.06520	1.07112	1.12194	1.10357	1.04519
			3	1.54803	1.15002	1.45000	1.15721	1.53519	1.15074
	0.1	1	1	0.57214	0.69153	0.54471	0.07602	0.34933	0.06430
			2	0.99114	0.98302	0.94638	0.70371	0.98649	0.39138
			3	1.39046	1.36513	1.34312	1.03861	1.15766	0.99575
		2	1	0.90649	0.84802	0.88417	0.87711	0.82498	0.65342
			2	1.23263	1.14880	1.15224	1.15157	1.20406	1.08038
			3	1.75216	1.15051	1.64643	1.23273	1.74582	1.22038