Three-Dimensional Vibration Analysis of Isotropic and Orthotropic Open Shells and Plates with Arbitrary Boundary Conditions

Table 7

The first five frequency parameters of an open isotropic cylindrical shell with various boundary conditions and length-radius ratios ( m, , ,  GPa, and ).

	Mode	Boundary conditions
		FFFF	FFFC	CFFFF	FSFS	FCFC	SFSF	SSSS	SCSC	CFCF	CSCS	CCCC
1	1	0.2532	0.0611	0.6542	0.3642	0.5435	1.0028	1.0018	1.0018	2.2572	2.4593	2.5851
	2	0.4406	0.0894	0.7203	0.5373	0.5644	1.4519	1.8691	1.9529	2.2688	2.5169	2.5995
	3	0.6995	0.1871	0.9461	0.9735	0.9928	1.4743	1.8895	2.0027	2.4975	2.6606	2.8954
	4	0.7752	0.3095	1.1460	1.3082	1.0391	1.8721	2.0027	2.0362	2.5631	3.1005	3.2424
	5	1.2856	0.5914	1.4254	1.5140	1.4765	2.0048	2.1582	2.3938	2.9106	3.1348	3.6945
3	1	0.2028	0.0625	0.1314	0.3720	0.5530	0.2753	0.5713	0.8440	0.4488	0.7125	0.9269
	2	0.2595	0.1067	0.1729	0.4243	0.7671	0.3831	0.6442	1.0023	0.5181	0.7552	1.1822
	3	0.3976	0.1907	0.3179	0.9237	0.8055	0.4837	1.0023	1.1203	0.6739	1.0461	1.5368
	4	0.5753	0.2296	0.3694	0.9898	1.0030	0.7911	1.0461	1.4237	0.9433	1.1792	1.5915
	5	0.6844	0.4928	0.5039	1.0467	1.1684	0.8068	1.1140	1.4635	0.9804	1.3171	1.7865
5	1	0.1319	0.0627	0.0669	0.3737	0.5522	0.1314	0.3195	0.6619	0.2043	0.4281	0.6959
	2	0.2607	0.0959	0.0682	0.3943	0.6475	0.1778	0.4292	0.9543	0.3012	0.4847	1.0038
	3	0.2797	0.1915	0.1718	0.5560	0.8660	0.3288	0.6278	1.0025	0.3742	0.6278	1.0680
	4	0.3171	0.2009	0.2425	0.6148	0.8884	0.3638	0.6730	1.0515	0.4729	0.7565	1.2146
	5	0.3652	0.3411	0.2779	0.6280	0.9944	0.4033	0.7996	1.1714	0.5441	0.8388	1.3679