Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study

Table 4

Behavior of NF (Hz) with n (m = 1, N = 1, L = 100, and R = 1).

FG cylindrical shell
Type I					Type II
	C-F		SS-SS		C-F		SS-SS
N	h = 0.1	h = 0.5	h = 0.1	h = 0.5	h = 0.1	h = 0.5	h = 0.1	h = 0.5
1	114.551	117.506	48.4992	49.1025	114.859	117.721	48.5028	49.0785
2	98.5711	333.031	66.9496	315.299	99.1923	336.551	67.6230	318.867
3	189.957	883.406	181.411	872.264	191.869	8933.21	183.357	882.139
4	349.727	1660.62	346.023	1647.30	353.435	1679.25	349.747	1665.50
5	560.698	2410.81	558.370	2407.14	566.702	2417.94	564.384	2414.93
6	819.952	2893.14	818.135	2895.47	828.761	2901.69	826.952	2904.08
7	1126.81	3375.37	1125.22	3378.12	1138.94	3385.35	1137.36	3388.12
8	1481.07	3857.60	1479.60	3860.25	1497.03	3869.01	1495.56	3871.66
9	1882.64	4339.82	1881.23	4342.29	1902.94	4352.65	1901.54	4355.12
10	2331.47	4822.04	2330.10	4824.32	2356.64	4836.30	2355.27	4838.58