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

Table 6

Behavior of NF (Hz) with n (m = 1, h = 0.2, L = 100, and R = 1).

FG bilayer cylindrical shell
Type I					Type II
	C-F		SS-SS		C-F		SS-SS
N	N = 6	N = 12	N = 6	N = 12	N = 6	N = 12	N = 6	N = 12
1	24.3969	309.190	1.11827	1.41774	24.2473	30.7109	1.11218	1.40889
2	141.887	138.307	141.001	136.874	139.381	135.502	138.492	134.062
3	398.705	387.262	398.516	386.976	391.617	379.314	391.429	379.027
4	763.947	741.974	763.864	741.862	750.364	726.736	750.282	726.625
5	1235.14	1199.70	1235.09	1199.64	1213.19	1175.06	1213.13	1174.99
6	1811.63	1759.78	1811.59	1759.73	1779.43	1723.64	1779.39	1723.59
7	2493.15	2421.98	2493.11	2421.94	2448.83	2372.24	2448.80	2372.20
8	3279.54	3186.18	3279.50	3186.15	3221.26	3120.75	3221.22	3120.72
9	4170.70	4052.34	4170.66	4052.30	4096.59	3969.12	4096.56	3969.09
10	5166.52	5020.40	5166.48	5020.36	5074.73	4917.31	5074.70	4917.27