A Semianalytic Method for Vibration Analysis of a Sandwich FGP Doubly Curved Shell with Arbitrary Boundary Conditions

Table 6

First four frequencies for Type 1-1 Sandwich FGP doubly curved structure with diverse boundary conditions.

Type	Mode	Parabolic shell			Hyperbolic shell			Elliptical shell
		CC	SS	CF	CC	SS	CF	CC	SS	CF
Case 1	1	66.05	63.40	15.27	107.90	105.24	43.61	361.55	276.58	71.18
	2	67.39	64.72	18.55	112.79	109.18	47.32	389.58	315.40	130.70
	3	72.28	69.69	23.88	135.21	132.53	58.47	461.71	407.96	146.15
	4	77.90	75.54	27.64	139.24	133.68	74.45	551.69	515.53	220.14
Case 2	1	118.03	109.84	23.74	100.64	98.62	41.48	247.30	219.58	47.23
	2	120.89	112.10	25.83	110.98	107.24	42.22	247.48	247.10	60.64
	3	121.30	114.13	31.06	120.62	118.73	58.03	258.01	247.46	132.53
	4	131.65	125.87	41.13	139.31	133.31	64.42	258.59	257.41	166.64
Case 3	1	162.09	143.75	29.26	97.21	95.55	39.66	135.46	135.32	35.27
	2	163.01	144.21	31.77	108.38	105.47	39.99	137.59	137.31	43.47
	3	165.72	148.30	36.00	109.28	107.08	57.33	153.59	153.53	111.17
	4	168.36	149.76	45.25	115.59	112.43	57.87	157.70	157.48	120.46