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

Table 6

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

h	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
0.001	1	122.5913	76.0481	57.2287	29.2184	122.3553	75.6950	122.5913	76.0480
	2	225.2229	145.4536	166.6168	95.9782	225.0297	145.2889	225.2229	145.4535
	3	294.0861	207.0796	261.7840	173.2139	293.9218	206.8985	294.0861	207.0795
0.005	1	122.6467	76.1854	57.2295	29.2576	121.5370	74.6696	122.6451	76.1818
	2	225.3556	145.7348	166.6211	96.0050	224.4220	144.9893	225.3533	145.7292
	3	294.3756	207.5760	261.8143	173.2815	293.6008	206.7692	294.3724	207.5683
0.01	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
0.05	1	124.3256	81.4447	57.2392	32.9221	117.5104	76.1999	123.8317	80.5904
	2	230.6216	157.0350	167.0094	98.6036	224.4088	154.2499	229.4403	154.9489
	3	308.5174	230.8005	264.5660	179.5628	303.9226	227.8976	305.9156	226.6462
0.1	1	127.4686	92.6207	57.2553	42.0016	118.1959	87.4795	125.6479	89.6293
	2	242.0943	181.4167	168.0745	105.8049	233.3506	178.7213	236.1977	171.4342
	3	343.1045	283.8211	271.9447	196.1988	335.7079	280.6610	322.5592	255.6987