Vibration Characteristics of Ring-Stiffened Functionally Graded Circular Cylindrical Shells

Table 13

Variation of natural frequencies against 𝐿/𝑅, type I 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	2872.5	2871.8	2871.1	2869.6	2868.2	2867.3	2867.1
0.5	15	1614.0	1602.9	1610.2	1609.4	1608.4	1606.5	1604.7	1603.5	1603.3
1.0	11	900.77	890.59	897.30	896.49	895.59	893.89	892.22	891.20	890.90
2.0	8	488.92	480.57	486.06	485.40	484.66	483.27	481.91	481.07	480.82
5.0	5	181.84	177.15	180.23	179.85	179.44	178.66	177.90	177.43	177.29
10	4	100.74	97.538	99.630	99.380	99.095	98.566	98.046	97.727	97.636
20	3	45.740	44.073	45.162	45.029	44.881	44.605	44.336	44.171	44.124
50	2	13.408	12.874	13.222	13.179	13.132	13.044	12.958	12.905	12.890
100	1	2.5497	2.4455	2.5135	2.5052	2.4960	2.4788	2.4620	2.4516	2.4486