Vibration Characteristics of Ring-Stiffened Functionally Graded Circular Cylindrical Shells

Table 2

(a) Comparison studies of frequency parameter Ω for simply-supported cylindrical shell with 14 evenly spaced, externally eccentric ring stiffeners. (𝐿/𝑅=4.5419,ℎ/𝑅=0.01151, 𝑏/𝑅=0.02107)

Stiffener's depth-to-width ratio 𝑑/𝑏	Circumferential wave no. 𝑛	Swaddiwudhipong et al. [11]	Present analysis
1.3314	2	0.08472	0.08503
1.3314	3	0.06711	0.07049
1.3314	4	0.1072	0.11493
1.3314	5	0.1714	0.18394
2.6628	2	0.08372	0.08591
2.6628	3	0.1095	0.12269
2.6628	4	0.2037	0.2296
2.6628	5	0.3271	0.37226
3.9942	2	0.08788	0.09371
3.9942	3	0.1592	0.18444
3.9942	4	0.3049	0.35343
3.9942	5	0.4598	0.57304

(b) Comparison studies of frequency parameter Ω for simply-supported cylindrical shell with 14 evenly spaced, internally eccentric ring stiffeners. (𝐿/𝑅=4.5419,ℎ/𝑅=0.01151, 𝑏/𝑅=0.02107)

Stiffener's depth-to-width ratio 𝑑/𝑏	Circumferential wave no. 𝑛	Swaddiwudhipong et al. [11]	Present analysis
1.3314	2	0.08282	0.0876
1.3314	3	0.05992	0.0771
1.3314	4	0.08641	0.1221
1.3314	5	0.1346	0.1918
2.6628	2	0.08141	0.0933
2.6628	3	0.08826	0.1380
2.6628	4	0.1536	0.2499
2.6628	5	0.2459	0.4000
3.9942	2	0.08425	0.1076
3.9942	3	0.1280	0.2128
3.9942	4	0.2363	0.3970
3.9942	5	0.3807	0.6377