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

Table 5

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

	Mode	Boundary conditions
		FFFF	FFFC	CFFFF	FSFS	FCFC	SFSF	SSSS	SCSC	CFCF	CSCS	CCCC
0.1	1	0.0709	0.0211	0.0760	0.1293	0.2103	0.1669	0.3507	0.5590	0.2384	0.4713	0.6184
	2	0.0888	0.0374	0.1120	0.1507	0.4467	0.1731	0.4404	0.5653	0.2597	0.5082	0.6248
	3	0.1422	0.0665	0.1724	0.3626	0.4513	0.3550	0.6317	0.8884	0.4498	0.7056	0.9570
	4	0.2547	0.0856	0.2685	0.3934	0.4866	0.4017	0.7440	0.9403	0.5092	0.7736	0.9661
	5	0.3076	0.2253	0.2778	0.6162	0.7796	0.4178	0.7457	0.9428	0.5190	0.8340	1.0030
0.2	1	0.1384	0.0420	0.1020	0.2542	0.3984	0.2234	0.4523	0.7116	0.3651	0.5848	0.7833
	2	0.1756	0.0732	0.1667	0.2936	0.6346	0.2899	0.6368	0.9076	0.3851	0.7287	0.9652
	3	0.2750	0.1307	0.2227	0.6972	0.7187	0.4402	0.7990	1.0016	0.6320	0.8631	1.3115
	4	0.4669	0.1633	0.3650	0.7516	0.7958	0.6257	0.9927	1.2193	0.7024	1.0472	1.3574
	5	0.5029	0.3989	0.4099	0.7858	1.0363	0.6323	1.0016	1.2566	0.8080	1.1111	1.5874
0.3	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
0.4	1	0.2638	0.0827	0.1611	0.4812	0.6735	0.3293	0.6552	0.9578	0.5260	0.7856	1.0502
	2	0.3397	0.1380	0.1782	0.5403	0.8355	0.4211	0.6884	1.0058	0.6161	0.8362	1.3129
	3	0.5089	0.2469	0.3734	1.0470	0.8755	0.5745	1.0058	1.2422	0.7364	1.0468	1.7124
	4	0.6770	0.2840	0.4090	1.0518	1.1187	0.8177	1.0467	1.5939	0.9687	1.4424	1.7437
	5	0.7842	0.5469	0.5936	1.1198	1.2589	0.9324	1.3381	1.5954	1.1743	1.4923	1.9459
0.5	1	0.3213	0.1024	0.1837	0.5813	0.7654	0.3826	0.6678	1.0094	0.5942	0.8148	1.1452
	2	0.4155	0.1664	0.1891	0.6411	0.8500	0.4412	0.7957	1.0457	0.6758	0.9467	1.4026
	3	0.6085	0.2977	0.3773	1.0471	0.9582	0.6736	1.0094	1.3213	0.8181	1.0470	1.8369
	4	0.7721	0.3271	0.4932	1.1320	1.1924	0.8225	1.0470	1.6989	0.9716	1.6046	1.8548
	5	0.8414	0.5867	0.6742	1.1607	1.3218	1.0096	1.4661	1.7298	1.3134	1.6287	1.9735