Vibration Characteristics of Ring-Stiffened Functionally Graded Circular Cylindrical Shells

Table 14

Variation of natural frequencies against L/R, type II FG cylindrical shell with stainless steel ring stiffeners (𝑚=1, ℎ/𝑅=0.002, 𝑑/𝑏=1.334).

𝐿/𝑅	𝑛	𝑁^𝑆𝑆=0	𝑁^𝑁=0	𝑁=0.5	𝑁=0.7	𝑁=1	𝑁=2	𝑁=5	𝑁=15	𝑁=30
0.2	20	2875.5	2866.8	2869.3	2870.5	2871.2	2872.7	2874.1	2875.0	2875.2
0.5	15	1614.0	1602.9	1606.3	1607.6	1608.5	1610.4	1612.2	1613.4	1613.7
1.0	11	900.77	890.59	893.66	894.81	895.71	897.41	899.07	900.15	900.45
2.0	8	488.92	480.57	483.07	484.00	484.74	486.14	487.51	488.40	488.65
5.0	5	181.84	177.15	178.52	179.06	179.47	180.26	181.04	181.54	181.68
10	4	100.74	97.538	98.430	98.833	99.115	99.652	100.19	100.54	100.64
20	3	45.740	44.073	44.505	44.742	44.888	45.168	45.450	45.631	45.684
50	2	13.408	12.874	12.994	13.086	13.133	13.223	13.314	13.373	13.390
100	1	2.5497	2.4455	2.4788	2.4868	2.4959	2.5135	2.5314	2.5427	2.5461