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

Table 3

Comparison of the first seven natural frequencies (Hz) for an open cylindrical shell with various boundary conditions.

Modes	SD-F-SD-F				SD-SD-SD-SD		F-S-F-S
	Experiment [28]	Theory [28]	Ref. [37]	Present	Ref. [37]	Present	Ref. [37]	Present
1	300	286	285.162	286.012	1059.60	1059.17	837.437	837.467
2	470	476	475.131	476.367	1693.43	1694.86	1862.92	1863.09
3	850	819	817.600	819.124	2061.83	2061.58	1903.48	1903.04
4	870	859	857.365	859.198	2068.16	2068.64	1928.89	1929.87
5	1330	1341	1339.58	952.465	2401.35	2400.62	2436.56	2435.24
6	1460	1440	1437.56	1341.65	3089.38	3088.82	3041.67	3042.74
7	1490	1486	1486.98	1440.09	3412.99	3415.73	3351.38	3350.37