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

Table 23

First eight frequencies (Hz) for a closed spherical shell with single point classically and elastically supported at each end.

Modes	BC
	E^1-E^1	E^2-E^2	E^3-E^3	SD-SD	S-S	C-C
1	0.14643	0.14493	0.14529	0.09146	0.14496	0.14487
2	24.2791	23.2846	23.3128	0.14486	24.7998	23.2793
3	42.0388	42.0100	42.0387	20.9759	42.0388	42.0388
4	53.2235	47.4842	47.1233	42.0388	60.6122	47.6368
5	94.8830	90.2265	90.2590	54.9703	115.480	90.2196
6	116.457	115.596	116.457	90.4786	116.457	116.457
7	147.464	145.630	147.464	116.457	147.464	147.464
8	185.994	183.715	182.568	147.464	193.759	183.733