Wave-Based Method for Free Vibration Analysis of Orthotropic Cylindrical Shells with Arbitrary Boundary Conditions

Table 3

Comparison of the natural frequencies for the orthotropic circular cylindrical shell under combination classical boundary conditions.

Boundary conditions	Method	n = 1	n = 2	n = 3	n = 4	n = 5	n = 1	n = 2	n = 3	n = 4	n = 5
		m = 1					m = 2
C-F	Present	57.2692	29.4248	18.4766	19.1837	27.1424	166.7386	96.3363	62.8738	46.8067	42.1131
	Reference [59]	57.272	29.445	18.566	19.365	27.376	166.74	96.347	62.922	46.952	42.414
	Error (%)	0.00	−0.07	−0.48	−0.94	−0.86	0.00	−0.01	−0.08	−0.31	−0.71
SS-F	Present	57.2303	29.3770	18.4436	19.1688	27.1366	166.6339	96.0876	62.5356	46.4639	41.8393
	Reference [59]	57.233	29.397	18.532	19.35	27.369	166.64	96.098	62.584	46.609	42.137
	Error (%)	0.00	−0.07	−0.48	−0.95	−0.86	0.00	−0.01	−0.08	−0.31	−0.71