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

Table 2

Comparison of frequency with general boundary restraints.

Type	p	n	F-F		SD-SD		SS-SS		C-C
			Present	Ref [29]	Present	Ref [29]	Present	Ref [29]	Present	Ref [29]
FGMI	0.6	0	777.54	777.61	164.24	164.85	786.25	786.84	875.24	875.58
		1	771.87	771.92	494.16	494.98	827.30	827.82	910.27	910.57
		2	49.96	49.85	778.08	778.88	886.29	886.85	894.14	894.60
		3	133.81	133.53	821.05	821.71	881.14	881.61	888.99	889.41
		4	243.85	243.34	875.83	875.39	914.57	914.97	927.02	927.34
	20	0	744.53	744.19	161.16	161.00	756.53	756.27	853.75	853.32
		1	738.16	738.50	474.73	474.26	797.64	797.35	887.44	887.00
		2	50.90	50.86	746.01	746.84	852.16	851.88	859.66	859.32
		3	136.02	135.90	790.52	790.24	848.87	848.51	856.93	856.53
		4	247.39	247.16	846.67	846.32	885.60	885.17	898.35	897.88
FGMII	0.6	0	777.57	777.04	164.13	164.59	768.03	767.93	873.61	873.71
		1	771.34	771.53	494.61	494.02	815.18	815.16	908.54	908.68
		2	49.47	49.60	779.70	779.46	887.83	887.89	893.63	893.73
		3	132.53	132.88	822.90	822.72	885.47	885.52	888.22	888.28
		4	242.53	242.16	876.38	876.32	919.33	919.43	925.64	925.75
	20	0	743.12	743.76	160.63	160.87	746.88	746.63	852.30	852.12
		1	738.55	738.20	473.05	473.77	790.96	790.75	885.96	885.80
		2	50.65	50.73	747.36	747.02	852.82	852.64	858.88	858.70
		3	135.36	135.55	790.96	790.61	850.80	850.56	855.97	855.73
		4	246.19	246.52	846.90	846.60	887.60	887.37	896.03	896.79