Research Article

Vibration of an Offshore Structure Having the Form of a Hollow Column Partially Filled with Multiple Fluids and Immersed in Water

Table 2

The lowest four natural frequencies of the immersed hollow beam filled with two kinds of fluids and carrying an eccentric tip mass with a translational and a rotational spring supports (cf. Figure 2).

Dimensionless parametersMethodsNatural frequencies (rad/sec) (dimensionless frequency parameters ( ))
( ) ( ) ( ) ( )

0.30.410.013010Present24.6479 (2.8932)71.9802 (4.9442)159.2279 (7.3536)268.8851 (9.5559)
0.30.510.013010Present24.552069.9351158.3664267.6327
FEM24.552169.9352158.3665267.6331
0.30.610.013010Present24.386968.0844158.2174261.6957
FEM24.386968.0844158.2176261.6961
0.30.710.013010Present24.146066.9012156.6135256.6476
FEM24.146066.9013156.6136256.6480
0.30.810.013010Present23.838266.4282153.3229255.8103
FEM23.838366.4283153.3231255.8107