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

Table 6

The first five frequency parameters of an open isotropic cylindrical shell with various boundary conditions and included angles ( m, , ,  GPa, and ).

	Mode	Boundary conditions
		FFFF	FFFC	CFFFF	FSFS	FCFC	SFSF	SSSS	SCSC	CFCF	CSCS	CCCC
	1	0.3538	0.4457	0.0580	0.9894	2.4197	0.1595	1.0451	2.4919	0.3475	1.0451	2.5130
	2	0.5316	0.5454	0.1721	1.0457	2.4308	0.4395	1.1132	2.6341	0.6014	1.1785	2.7046
	3	0.8855	0.8405	0.2839	1.0563	2.5650	0.5505	1.5215	2.9448	0.7681	1.6466	3.0749
	4	0.9124	1.2840	0.3436	1.3522	2.7783	0.6058	2.0902	2.9977	0.8792	2.0903	3.4482
	5	1.1066	1.3494	0.7626	1.8882	2.9465	1.1108	2.1579	3.4408	1.2567	2.3133	3.6207
	1	0.3001	0.1247	0.1016	0.1474	1.2941	0.2637	0.5085	1.4326	0.4458	0.6660	1.4879
	2	0.5424	0.2076	0.1624	0.1778	1.3032	0.3108	1.0459	1.4912	0.4751	1.0459	1.5315
	3	0.6280	0.4577	0.3022	0.9467	1.4013	0.7009	1.1138	1.5025	0.8703	1.1790	1.7884
	4	0.6433	0.4749	0.4926	0.9897	1.4026	0.7973	1.1852	1.6759	0.9197	1.3182	1.9511
	5	0.7602	0.6574	0.5502	1.0464	1.5375	0.7986	1.5025	1.8582	1.0161	1.6477	2.2660
	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
	1	0.1391	0.0411	0.1390	0.0377	0.2656	0.3147	0.5088	0.7306	0.4727	0.6663	0.8197
	2	0.1444	0.0628	0.2031	0.0483	0.4864	0.3241	0.6708	0.7520	0.4870	0.7901	0.8867
	3	0.2592	0.0996	0.2393	0.1474	0.5755	0.5652	0.7520	0.7861	0.7001	0.8348	1.3080
	4	0.3729	0.1462	0.4000	0.1779	0.5980	0.5688	0.7594	1.2541	0.7540	1.0462	1.4516
	5	0.4938	0.3046	0.4336	0.5078	0.8529	0.7526	1.0462	1.3212	0.9907	1.1795	1.4523
	1	0.0878	0.0319	0.1616	0.0473	0.1398	0.3087	0.5217	0.6017	0.4753	0.6763	0.7672
	2	0.1047	0.0444	0.1698	0.0484	0.2845	0.3392	0.5709	0.6474	0.4874	0.7065	0.7988
	3	0.1886	0.0627	0.2808	0.0598	0.3561	0.4910	0.6017	0.6980	0.6706	0.8515	1.0052
	4	0.2162	0.0984	0.2898	0.0609	0.4646	0.6021	0.7453	0.9431	0.7598	0.8886	1.2314
	5	0.3302	0.1682	0.4384	0.2742	0.6681	0.6276	0.8349	1.1715	0.8233	1.0463	1.3907