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

Table 2

Comparison of the natural frequencies for the orthotropic circular cylindrical shell under 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-C	Present	122.7511	76.4642	52.8701	41.4866	39.4239	225.6351	146.3284	103.4431	79.3989	67.0333
	Reference [59]	122.75	76.464	52.869	41.486	39.423	225.63	146.33	103.44	79.398	67.033
	Error (%)	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
SS-SS	Present	122.5910	76.1294	52.4352	41.0422	39.0609	225.2716	145.6195	102.4194	78.1700	65.7589
	Reference [59]	122.59	76.129	52.435	41.042	39.061	225.27	145.62	102.42	78.17	65.759
	Error (%)	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
SD-SD	Present	117.9855	66.1809	40.8206	30.8837	32.3243	225.2414	144.7009	99.8179	74.0717	61.0129
	Reference [59]	117.99	66.181	40.821	30.884	32.324	225.24	144.7	99.818	74.072	61.01
	Error (%)	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00