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

Table 2

Comparison of the first four frequency parameters for an open cylindrical shell with various boundary conditions.

Boundary conditions	Ref. [38]				Present
	1	2	3	4	1	2	3	4
F-F-F-F	13.44	21.28	28.12	34.69	13.48	21.17	28.13	34.47
SD-F-F-F	6.640	19.43	25.80	26.10	6.673	19.45	25.79	25.95
C-F-F-F	5.164	8.594	24.65	28.10	5.180	8.587	24.60	28.01
SD-SD-F-F	3.347	17.93	22.68	40.57	3.389	17.73	22.69	40.33
C-SD-F-F	6.779	19.53	28.28	45.24	6.797	19.33	28.29	45.01
C-C-F-F	8.440	25.57	29.56	51.11	8.506	25.42	29.54	50.90
SD-F-SD-F	13.10	16.41	37.22	43.26	13.13	16.41	37.02	43.26
C-F-SD-F	18.64	21.00	40.21	53.51	18.63	20.99	40.26	53.08
SD-SD-SD-F	14.78	29.57	44.94	61.91	14.82	29.35	44.94	61.66
C-SD-SD-F	19.73	33.15	54.56	64.20	19.79	32.96	54.59	63.93
C-C-SD-F	20.08	39.72	54.05	74.34	20.54	39.32	54.88	74.25
C-F-C-F	25.12	26.85	44.33	64.01	25.32	26.91	44.32	64.25
SD-C-SD-F	15.79	36.41	45.24	64.32	15.84	36.22	45.24	64.38
C-SD-C-F	25.96	37.66	65.26	66.90	26.05	37.53	65.62	66.80
C-C-C-F	26.75	43.68	66.05	77.50	26.65	43.41	65.87	77.14
SD-SD-SD-SD	25.48	49.61	55.84	80.46	25.32	49.34	55.71	80.23
C-SD-SD-SD	29.05	52.11	64.19	87.56	28.90	51.86	64.08	87.38
C-C-SD-SD	34.16	61.76	66.44	94.71	34.07	61.55	66.48	94.48
C-SD-C-SD	33.69	55.30	73.85	95.62	33.66	55.13	74.00	95.75
C-C-C-SD	37.38	63.67	76.00	99.98	38.05	64.30	76.14	102.33
C-C-C-C	46.08	74.02	78.10	109.68	46.14	74.11	79.14	109.95