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

Table 20

First eight frequencies (Hz) for a closed conical shell with three points supported at each end for different boundary spring restraints.

Modes	BC
	E^1-E^1	E^2-E^2	E^3-E^3	SD-SD	S-S	C-C
1	5.50848	5.46466	5.49980	2.67591	5.49922	5.50128
2	7.93799	7.99347	7.99228	5.49943	7.82854	8.01669
3	8.08121	8.29333	8.24191	6.10897	8.06805	8.25289
4	10.9531	10.8214	10.9137	6.55139	10.8263	10.9334
5	11.0659	11.0870	11.0938	10.6319	11.0359	11.1099
6	12.4547	13.5535	13.4218	10.8251	13.4350	13.7762
7	13.8351	18.5555	18.9106	13.0829	18.8797	18.9523
8	19.0665	21.1011	21.2714	13.2106	20.8085	21.3206