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

Table 4

The natural frequencies for the orthotropic circular cylindrical shell under elastic boundary conditions and their combinations.

n	m	Boundary conditions
		EBC1-EBC1	EBC2-EBC2	EBC3-EBC3	EBC1-EBC3	EBC2-EBC3	EBC1-EBC2
1	1	121.211	122.513	122.741	121.859	122.627	120.6801
	2	225.634	225.269	225.618	225.626	225.444	223.8509
	3	295.019	294.726	294.998	295.008	294.862	293.584
	4	332.953	332.765	332.924	332.939	332.845	332.059
2	1	72.788	76.340	76.442	74.491	76.391	73.89489
	2	146.075	146.074	146.289	146.194	146.182	145.0127
	3	208.553	208.389	208.619	208.581	208.504	207.2762
	4	255.979	255.727	255.920	255.950	255.823	254.7795
3	1	48.121	52.807	52.844	50.435	52.826	50.16391
	2	102.408	103.281	103.387	102.929	103.334	102.2252
	3	154.456	154.656	154.785	154.613	154.720	153.7046
	4	199.167	199.040	199.161	199.166	199.100	198.2201
4	1	36.929	41.458	41.463	39.174	41.460	39.06892
	2	77.503	79.304	79.336	78.464	79.320	78.08885
	3	120.575	121.249	121.294	120.930	121.271	120.3684
	4	160.463	160.585	160.623	160.546	160.604	159.9009
5	1	36.110	39.413	39.407	37.717	39.410	37.6851
	2	64.670	66.982	66.973	65.868	66.978	65.69338
	3	99.855	100.974	100.959	100.409	100.967	100.0973
	4	134.854	135.270	135.241	135.051	135.256	134.6571