Wave-drift added mass results from nonlinear interactions between waves and low-frequency oscillatory motions of a floating body, in the presence of incident waves. In previous works, wave-drift damping which is the component of wave-drift force in phase with the velocity of low-frequency oscillations was investigated mainly based on a quasi-steady analysis. However, investigations related to wave-drift added mass, the component in phase with acceleration, were very few. In this paper, wave-drift added mass is derived directly from a perturbation analysis with two small parameters and two time scales, using a Cartesian coordinate system that follows the low-frequency oscillations, dynamic oscillation model has been used. Especially, the method to solve higher-order potentials, which are necessary for evaluation of wave-drift added mass, is presented. Analytical solutions and calculated results of wave-drift added mass, and far field radiation conditions for each order of potentials are obtained. Also, wave-drift added mass of floating bodies has been systematically measured from a slowly forced oscillation test or a free decay test in waves. Experimental results are compared with calculated results. Then, for a supplement, the secular behavior that some velocity potentials show is discussed. Applying a multiple scale perturbation analysis to one of these problems, a nonsecular solution is obtained.

Keywords:
hydrodynamics, external flows, fluid oscillations, water waves, perturbation techniques
Topics:
Cylinders, Fluid-dynamic forces, Oscillations, Wave drift, Waves, Boundary-value problems, Radiation (Physics), Damping, Eigenfunctions
1.
Witchers, J. E. W., and Huijsmans, R. M. H., 1984, “On the Low Frequency Hydrodynamic Damping Forces Acting on Offshore Moored Vessels,” Proc. Offshore Tech. Conf., No. 4813.
2.
Nossen
,
J.
,
Grue
,
J.
, and
Palm
,
E.
,
1991
, “
Wave Forces on Three-Dimensional Floating Bodies With Small Forward Speed
,”
J. Fluid Mech.
,
227
, pp.
135
–
160
.
3.
Emmerhoff
,
O. J.
, and
Sclavounos
,
P. D.
,
1992
, “
The Slow-Drift Motion of Arrays of Vertical Cylinders
,”
J. Fluid Mech.
,
242
, pp.
31
–
50
.
4.
Kinoshita
,
T.
, and
Bao
,
W.
,
1996
, “
Hydrodynamic Forces Acting on a Circular Cylinder Oscillating in Waves and Slow Current
,”
J. Mar. Sci. Technol.
,
1
, pp.
155
–
173
.
5.
Kinoshita, T., and Takaiwa, K., 1990, “Time Domain Simulation of Slow Drift Motion of a Moored Floating Structure in Irregular Waves Including Time Varying Slow Motion Hydrodynamic Forces,” Proc. OMAE, pp. 199–204.
6.
Kinoshita, T., Shoji, K., and Obama, H., 1992, “Low Frequency Added Mass of a Semi-Submersible Influlenced by Incident Waves,” Proc. ISOPE, pp. 504–512.
7.
Kinoshita, T., Bao, W., Yoshida, M., and Ishibashi, K., 2002, “Wave Drift Added Mass of a Cylinder Array Free to Respond to the Incident Waves,” Proc. OMAE, No. 28442.
8.
Newman
,
J. N.
,
1993
, “
Wave-Drift Damping of Floating Bodies
,”
J. Fluid Mech.
,
249
, pp.
241
–
259
.
9.
Ogilvie, T. F., 1983, “Second Order Hydrodynamic Effects on Ocean Platforms,” International Work Shop on Ship and Platform Motions, pp. 205–343.
10.
Matsui
,
T.
,
Lee
,
S.
, and
Sano
,
K.
,
1991
, “
Hydrodynamic Forces on a Vertical Cylinder in Current and Waves
,”
J. of SNAJ
,
170
, pp.
277
–
287
.
11.
Isshiki, H., 2003, (private communication).
12.
Malenica, Sˇ., 1995, “How to Remove Secularity in the Solution on Diffraction-Radiation Problem With Small Forward Speed,” 10th International Workshop on Water Waves and Floating Bodies, No. 30.
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