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

Table 17

First eight frequencies (Hz) for a closed cylindrical shell with single point clamped-supported at each end.

Modes	E^1-E^1	E^2-E^2	E^3-E^3	SD-SD	S-S	C-C
						Ref. [12]	ANSYS [12]	Present
1	0.15698	0.12164	0.09646	0.01870	0.01658	0.00	3.01	0.33651
2	19.5430	19.8210	19.4759	0.09810	19.8994	18.84	18.83	19.8442
3	21.2045	21.4837	20.8517	20.6303	20.8838	20.55	20.50	21.2408
4	31.9544	31.6035	31.9604	21.5527	31.9508	31.63	34.30	31.9679
5	32.8183	32.6079	32.8190	31.9495	32.8171	32.62	34.33	32.8170
6	70.1945	73.1681	67.2033	32.8171	68.2388	69.05	67.87	70.9657
7	71.3327	75.6887	72.7092	65.8760	76.7896	73.21	72.94	75.7491
8	97.5789	93.7181	97.4584	76.8374	97.5652	96.98	99.49	97.5773