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

Table 5

The natural frequencies of the orthotropic cylindrical shell with various modulus ratios E₁/E₂ under several boundary conditions.

E1/E2	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
1	1	110.6992	55.2536	31.2626	11.6005	108.9950	54.0279	110.6879	55.2403
	2	211.2475	120.7196	119.1539	58.5856	209.0331	118.8745	211.2434	120.7013
	3	292.7848	188.8046	234.6133	132.9303	291.0075	186.7130	292.7825	188.7881
3	1	119.3153	68.6970	45.3992	18.7554	117.2422	66.4857	119.3085	68.6849
	2	221.3334	136.5006	144.2771	78.3209	219.3547	134.6394	221.3285	136.4841
	3	294.0729	201.8201	253.0665	157.9665	292.4997	200.0412	294.0666	201.8009
5	1	121.1147	72.5290	50.8336	22.7042	118.9951	70.0528	121.1077	72.5153
	2	223.5331	140.9972	154.0669	85.6214	221.6405	139.3435	223.5256	140.9765
	3	294.4017	205.0738	257.5586	165.3520	292.8816	203.4539	294.3914	205.0469
8	1	122.1522	74.9725	54.7245	26.3878	120.0403	72.3926	122.1439	74.9555
	2	224.8418	144.1636	161.5715	91.4974	223.0119	142.7059	224.8302	144.1353
	3	294.7082	207.2162	260.3054	170.3087	293.2317	205.7223	294.6917	207.1771
10	1	122.5081	75.8520	56.1950	28.0675	120.4149	73.2671	122.4986	75.8326
	2	225.3073	145.4115	164.5223	94.0730	223.5032	144.0357	225.2928	145.3778
	3	294.8730	208.0499	261.2583	172.1662	293.4169	206.6100	294.8524	208.0026
12	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