An Analytical Solution for the Vibration and Far-Field Sound Radiation Analysis of Finite, Semisubmerged Cylindrical Shells

Table 1

Comparison of the natural frequencies of the first ten orders (Hz).

Order	1	2	3	4	5	6	7	8	9	10
Mode number	1, 2	1, 2	1, 3	1, 3	1, 4	1, 4	1, 5	1, 5	1, 6	1, 6
fa	111.39	113.32	160.06	165.44	239.34	242.54	265.10	267.71	320.79	320.90
fb	111.53	113.41	160.48	164.85	240.68	243.85	266.97	269.36	321.88	322.43
Err1 (%)	0.13	0.08	0.26	0.36	0.56	0.54	0.70	0.61	0.34	0.47