A Unified Spectro-Geometric-Ritz Method for Vibration Analysis of Open and Closed Shells with Arbitrary Boundary Conditions

Table 6

First eight frequencies (Hz) for an open cylindrical shell with multipoints clamped-supported on the two edges and .

Number of clamped points	Mode orders
	1	2	3	4	5	6	7	8
4	42.0733	73.7520	124.399	129.400	163.200	175.784	225.104	238.232
8	84.2526	99.8218	184.433	185.978	234.422	265.143	295.010	297.424
12	97.5774	106.417	189.546	194.152	238.902	274.257	299.952	302.187
16	99.7987	107.456	136.231	199.570	249.178	277.450	308.594	308.774
20	102.000	107.095	197.781	201.784	259.985	281.080	308.559	315.573
24	103.398	109.240	200.089	204.168	270.959	283.070	315.387	317.166
28	103.996	109.545	200.608	204.545	274.651	286.455	317.069	318.288
32	104.759	110.067	201.069	205.168	276.958	286.988	317.541	318.674
36	105.207	110.616	201.133	205.606	278.442	288.107	318.179	319.547
40	105.194	111.732	203.235	206.126	279.873	287.052	320.491	321.935
44	106.558	111.801	202.972	207.610	279.990	288.192	320.612	321.992
48	106.610	111.865	203.425	207.548	280.293	288.029	321.033	322.303
52	106.603	111.748	203.412	207.457	280.072	288.051	320.677	321.821
C-F-C-F	106.596	111.739	203.401	207.608	279.849	287.903	320.618	321.542