Vibration Characteristics of Ring-Stiffened Functionally Graded Circular Cylindrical Shells

Table 16

Variation of fundamental natural frequencies against h/R, type II FG cylindrical shell with stainless steel ring stiffeners (𝑚=1, 𝐿/𝑅=20, 𝑑/𝑏=1.334).

ℎ/𝑅	𝑛	𝑁^𝑆𝑆=0	𝑁^𝑁=0	𝑁=0.5	𝑁=0.7	𝑁=1	𝑁=2	𝑁=5	𝑁=15
0.001	3	52.567	50.896	51.439	51.569	51.716	51.996	52.279	52.459
0.005	2	24.993	23.985	24.309	24.387	24.475	24.645	24.816	24.927
0.007	2	23.114	22.162	22.467	22.541	22.624	22.784	22.945	23.050
0.01	2	21.393	20.493	20.782	20.851	20.930	21.081	21.232	21.333
0.02	1	15.812	15.090	15.321	15.376	15.440	15.561	15.685	15.764
0.03	1	15.096	14.396	14.620	14.674	14.735	14.853	14.974	15.050
0.04	1	14.717	14.028	14.248	14.301	14.361	14.477	14.596	14.671
0.05	1	14.482	13.800	14.018	14.070	14.130	14.245	14.362	14.436