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

Table 7

The natural frequencies of the orthotropic cylindrical shell with various length to radius ratios L/R under several boundary conditions.

L	Boundary conditions
	m	C-C		SS-F		EBC1-EBC2		EBC3-EBC3
		n = 1	n = 2	n = 1	n = 2	n = 1	n = 2	n = 1	n = 2
5	1	122.7511	76.4642	57.2303	29.3770	120.6801	73.8949	122.7406	76.4423
	2	225.6351	146.3284	166.6339	96.0876	223.8509	145.0127	225.6179	146.2894
	3	295.0230	208.6741	261.9059	173.4884	293.5837	207.2762	294.9984	208.6188
8	1	76.7055	45.4524	31.6944	14.1556	75.2519	43.4839	76.7009	45.4440
	2	148.5210	90.2844	99.4478	53.6849	147.5756	89.3387	148.5141	90.2678
	3	214.2263	137.1869	178.4795	107.3297	213.0963	136.2748	214.2159	137.1633
10	1	60.6792	34.7071	23.1038	9.8312	59.4140	33.0345	60.6761	34.7020
	2	118.8628	70.3232	76.2998	39.8337	118.1806	69.3907	118.8582	70.3123
	3	176.4915	109.1948	143.5250	82.7372	175.6285	108.4187	176.4847	109.1790
12	1	49.7780	27.4582	17.5069	7.3573	48.6440	26.0412	49.7758	27.4549
	2	98.2672	56.7730	61.0112	30.8062	97.7181	55.8310	98.2638	56.7654
	3	148.6260	89.5260	118.5957	65.9236	147.9499	88.8051	148.6211	89.5147