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

Table 9

First four frequencies for Type 2-2 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	65.07	62.53	15.04	107.44	104.85	42.87	355.24	273.61	69.86
	2	67.19	64.64	17.76	110.18	106.73	47.59	383.91	313.29	126.55
	3	70.34	67.86	24.01	134.25	128.98	56.36	457.13	407.18	145.98
	4	78.23	76.00	26.31	136.07	133.42	75.14	547.42	515.20	218.49
Case 2	1	116.95	109.41	22.95	100.08	98.10	40.62	248.72	219.35	45.61
	2	118.92	110.73	25.62	108.20	104.61	42.41	249.20	248.68	60.73
	3	120.94	114.40	29.65	121.42	119.53	55.85	258.30	248.95	128.55
	4	131.84	126.63	40.88	134.21	128.54	65.03	259.95	258.30	168.22
Case 3	1	160.10	143.00	28.26	96.59	94.95	39.02	135.43	135.30	35.34
	2	160.35	144.19	31.32	106.20	102.58	39.82	138.61	138.37	41.91
	3	164.28	146.63	34.40	109.11	107.78	55.66	151.29	151.24	112.23
	4	164.89	150.28	45.18	114.72	111.70	57.86	159.12	158.94	118.45