Page 216 - Practical Design Ships and Floating Structures
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                Heave            3.47          0.22
                Pitch            3.57          0.23
                1 st  Bending    4.52          0.28
                2"d Bending      8.89          0.56
                3rd Bending      17.95         1.12


        4. RESULTS AND DISCUSSIONS

        4.1 Motions and Deflections in Regular Waves

        Surge motion of pontoon type VLFS is shown in Figure 3 and the vertical displacements at three points
        (fore end, midship, aft end) of semi-submersible type VLFS are shown in Figure 4. The experimental
        results were  obtained from tests in  linear transient water waves,  although the experimental results
        scatter  at  higher  frequencies, the  calculations for  both  rigid  motion  and  deflections  agree  with
        experiments well on the whole. The disagreements in Z-displacement at fore end can be considered as
        the non-linear interaction effect of waves and structure, which are not included in calculations.
        4.2 Steady Drgt Forces in Regular Waves

        Steady wave drift forces (non-dimensioned) in surge direction are shown in Figure 5 for pontoon type
        VLFS and in Figure 6 for semi-submersible type. On the whole, the correlations between calculation
        and experiment are found to be well in agreement. The discrepancies in semi-submersible type are
        associated with the accuracy in deflection prediction at fore end for the same reason as mentioned in
        previous section. However, different tendency in two type models has been observed.  Drift force of
        pontoon type is negligibly small in relatively low frequencies (less than 5 radkec in model scale) and it
        increases from 5 rad/sec  rapidly. On the contrary, drift force of semi-submersible changes its value
        considerably at relatively low frequencies when wave frequency changes. The frequency dependence
        becomes more complicated than pontoon type.
        In Figure 6, drift force component corresponded to the terms on right hand side of Eqn.6 are shown. It
        can be confirmed that the contributions of relative wave elevation (term  1) and pressure drop due to
        velocity potentials (term 2) are dominant components for steady drift forces.
        Drift forces of 9 units rigid semi-submersible model (1/4 of VLFS model) are shown in Figure 7. It can
        be stated that the agreement between the calculated and experimental results are comparatively well
        except frequencies from 5 to 7 dsec. For rigid semi-submersible model, the drift force varies  its
        value with wave frequency remarkably and this could be explained as the effect of wave scattering
        phenomenon among columns, which is the well-known fact for first order wave force.
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