Vibration Characteristics of Ring-Stiffened Functionally Graded Circular Cylindrical Shells

Table 8

Variation of natural frequencies against circumferential wave number 𝑛, type II FG cylindrical shell with nickel ring stiffeners (𝑚=1, ℎ/𝑅=0.05, 𝐿/𝑅=20, 𝑑/𝑏=1.334).

𝑛	𝑁^𝑆𝑆=0	𝑁^𝑁=0	𝑁=0.5	𝑁=0.7	𝑁=1	𝑁=2	𝑁=5	𝑁=15	𝑁=30
1	14.714	14.025	14.245	14.298	14.359	14.475	14.594	14.669	14.691
2	35.517	33.764	34.329	34.461	34.610	34.891	35.178	35.383	35.446
3	96.256	91.453	93.018	93.383	93.790	94.559	95.344	95.892	96.063
4	183.17	174.01	177.00	177.70	178.47	179.94	181.43	182.48	182.80
5	295.50	280.72	285.54	286.66	287.92	290.28	292.70	294.38	294.90
6	433.06	411.40	418.47	420.12	421.96	425.42	428.96	431.42	432.19
7	595.76	565.96	575.69	577.96	580.49	585.25	590.12	593.50	594.57
8	783.53	744.35	757.14	760.12	763.44	769.71	776.11	780.56	781.96
9	996.33	946.51	962.78	966.56	970.79	978.76	986.89	992.55	994.33
10	1234.1	1172.4	1192.5	1197.2	1202.5	1212.3	1222.4	1229.4	1231.6