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

Table 10

First eight frequencies (Hz) for an open conical shell with multipoints clamped-supported at the edges and .

Number of clamped points	Mode orders
	1	2	3	4	5	6	7	8
4	11.8729	20.0077	32.5122	39.5461	53.0354	55.5817	70.2857	73.8902
8	36.7021	37.0652	68.2869	71.6845	84.1112	90.5067	96.5518	102.390
12	38.0459	39.4913	74.2440	75.3170	92.7235	107.683	114.175	123.842
16	40.6246	41.8082	76.1112	76.4630	96.2314	108.537	119.440	124.762
20	41.5237	42.8696	78.5924	79.2059	98.5312	109.629	124.270	127.001
24	41.9268	42.9051	80.1504	80.3934	101.246	112.015	128.930	129.004
28	42.0010	42.9886	81.3801	81.3833	102.009	112.602	130.785	130.966
32	42.2120	43.2225	81.9266	81.9334	102.514	113.002	131.522	131.946
36	42.6656	43.7936	82.5368	83.2035	103.144	113.490	132.629	132.804
40	42.8653	43.8284	82.6513	82.8204	103.221	113.492	133.088	133.376
44	42.8620	43.8322	82.6605	82.8006	103.223	113.500	133.119	133.339
48	42.8487	43.8083	82.6437	82.8098	103.261	113.488	133.307	133.339
52	42.8579	43.8247	82.6678	82.8223	103.210	113.487	133.093	133.410
C-F-C-F	42.8587	43.8284	82.6528	82.8179	103.219	113.493	133.132	133.349