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

Table 7

First four frequencies for Type 1-2 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	64.52	61.79	14.92	105.94	102.88	42.55	352.10	267.85	69.38
	2	66.22	63.48	17.88	109.70	105.77	46.70	379.98	307.29	126.54
	3	70.19	67.54	23.57	133.47	128.71	56.51	451.42	400.48	143.67
	4	76.83	74.43	26.56	134.57	130.34	73.61	539.98	507.61	216.17
Case 2	1	115.63	107.99	22.98	98.74	96.44	40.40	243.99	213.51	45.66
	2	118.02	109.71	25.32	107.84	103.78	41.64	244.17	243.90	59.70
	3	119.20	112.62	29.90	119.08	116.81	56.05	254.14	243.95	128.40
	4	129.66	124.50	40.56	134.59	128.31	63.70	254.95	254.14	164.83
Case 3	1	158.57	142.09	28.32	95.34	93.42	38.88	133.21	133.08	34.73
	2	159.15	143.02	31.05	106.03	101.91	39.10	135.84	135.60	41.98
	3	162.41	145.99	34.67	107.00	105.37	55.87	149.92	149.87	109.98
	4	164.02	148.88	44.51	113.32	109.84	56.69	155.88	155.69	117.50