Current industry practice to control roll motions in floating production storage and offloading (FPSO) vessels is based on using large-width bilge keels. This paper details an experimental study involving a range of bilge keel widths from 0% to 20% of half beam of a FPSO with rectangular geometry. Both free decay and forced oscillation tests were conducted on the range of geometries at different amplitudes and frequencies. The results show that, for given amplitude of roll motion, the damping coefficient increases with increasing bilge keel size up to a certain point and then declines. Numerical simulations using the free surface random vortex method were performed on rectangular cross sections with bilge keels, which show good agreement with the experimental results. Simulations extended up to even larger keel widths indicate that the same trend for damping coefficient as a function of keel size is found. An examination of the simulation results suggests a likely explanation for this behavior. A simplified formulation for damping coefficient is developed as a function of bilge keel width and roll amplitude.

1.
Froude
,
W.
, 1861, “
On the Rolling of Ships
,”
The Papers of William Froude
,
Royal Institute of Naval Architects
,
London
.
2.
Ferrari
,
J. F.
, Jr.
, and
Ferreira
,
M.
, 2002, “
Assessment of the Effectiveness of the Bilge Keel as an Anti-Roll Device in VLCC-Sized FPSOs
,”
Proceedings of the 12th International Offshore Polar Engineering Conference
, KitaKyushu, Japan.
3.
Tanaka
,
N.
, and
Hishida
,
T.
, 1957, “
A Study on the Bilge Keels. Part 1. Two-Dimensional Model Experiments
,”
J. Soc. Nav. Archit. Jpn.
0514-8499,
101
, pp.
99
105
.
4.
Tanaka
,
N.
, 1958, “
A Study on the Bilge Keels. Part 2. Full Sized Model Experiment
,”
J. Soc. Nav. Archit. Jpn.
0514-8499,
103
, pp.
69
73
.
5.
Tanaka
,
N.
, 1959, “
A Study on the Bilge Keels. Part 3. The Effect of the Ship Form and the Bilge Keel Size on the Action of the Bilge Keel
,”
J. Soc. Nav. Archit. Jpn.
0514-8499,
105
, pp.
27
32
.
6.
Tanaka
,
N.
, 1960, “
A Study on the Bilge Keels. Part 4. On the Eddymaking Resistance to the Rolling of a Ship Hull
,”
J. Soc. Nav. Archit. Jpn.
0514-8499,
109
, pp.
205
212
.
7.
Na
,
J. H.
,
Lee
,
W. C.
,
Shin
,
H. S.
, and
Park
,
I. K.
, 2002, “
A Design of Bilge Keels for Harsh Environment FPSOs
,”
Proceedings of the 12th International Conference Offshore and Polar Engineering
, KitaKyushu, Japan.
8.
Matsuura
,
M.
,
Nishigaki
,
M.
,
Yamaguchi
,
Y.
,
Mizokami
,
S.
, and
Yano
,
S.
, 2001, “
A New Concept of Motion Suppression Board Attached to Bottom End of Floating Structures
,”
Proceedings of the 20th International Conference Offshore Mechanics Arctic Engineering
,
Rio de Janeiro, Brazil
.
9.
Souza
,
J. R.
,
Fernandes
,
A. C.
,
Masetti
,
I. Q.
,
Silva
,
S.
, and
Kroff
,
S. A. B.
, 1998, “
Nonlinear Rolling of a FPSO With Larger-Than-Usual Bilge Keels
,”
Procedings of the 17th International Offshore Mechanics Arctic Engineering
,
Lisbon, Portugal
.
10.
Fernandes
,
A. C.
, and
Kroft
,
S. A. B.
, 2000, “
Bi-Linear Modeling of Wider, Longer and Continuous Bilge-Keels for FPSOs Roll Motion Control
,”
Proceedings of the 19th International Conference Offshore Mechanics Arctic Engineering
,
New Orleans
.
11.
Ikeda
,
Y.
,
Ali
,
B.
, and
Yoshida
,
H.
, 2004, “
A Roll Damping Prediction Method for a FPSO With Steady Drift Motion
,”
Proceedings of the 14th International Conference Offshore and Polar Engineering
, Toulon, France, pp. 676–681.
12.
Snieckus
,
D.
, 2001, “
Low Key Ramform Recovers From the Banff Blues
,”
Offshore Engineer
.
13.
Kinnas
,
S. A.
,
Yu
,
Y. H.
,
Kacham
,
B.
, and
Lee
,
H.
, 2003, “
A Model of the Flow Around Bilge Keels of FPSO Hull Sections Subject to Roll Motions
,”
Proceedings of the 12th Offshore Symposium, Soc. Naval Arch. Mar. Engr.
,
Houston TX
.
14.
Kinnas
,
S. A.
, 2005, “
FPSO Roll Motions
,” Technical Report, Minerals Mgt. Service, USA.
15.
Vaidhyanathan
,
M.
, 1993, “
Separated Flows Near a Free Surface
,” Ph.D. thesis, University of California, Berkeley, CA.
16.
Yeung
,
R.
,
Roddier
,
D.
,
Alessandrini
,
B.
,
Gentaz
,
L.
, and
Liao
,
S.-W.
, 2000, “
On Roll Hydrodynamics of Cylinders Fitted With Bilge Keels
,”
Proceedings 23rd Symposium Naval Hydrodynamics
,
Washington, DC
.
17.
Tao
,
L.
, and
Thiagarajan
,
K.
, 2003, “
Low KC Flow Regimes of Oscillating Sharp Edges Part 1. Vortex Shedding Observations
,”
Appl. Ocean. Res.
0141-1187,
257
, pp.
21
35
.
18.
Vugts
,
J.
, 1968, “
The Hydrodynamic Coefficients for Swaying, Heaving and Rolling Cylinders on a Free Surface
,”
Shipbuilding Laboratory, Technical University of Delft
, Technical Report 1125.
19.
Hromadka
,
T. V.
, and
Lai
,
C.
, 1984,
The Complex Variable Boundary Element Method
(Springer Lecture Notes in Engineering),
Springer-Verlag
,
Berlin
.
20.
Carrier
,
J.
,
Greengard
,
L.
, and
Rokhlin
,
V.
, 1988, “
A Fast Adaptive Multipole Algorithm for Particle Simulations
,”
SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput.
0196-5204,
9
(
4
), pp.
669
686
.
21.
Wehausen
,
J. V.
, 1971, “
The Motion of Floating Bodies
,”
Annu. Rev. Fluid Mech.
0066-4189,
3
, pp.
237
268
.
22.
Timms
,
R.
, 2004, “
Influence of Bilge Keels on Roll Motions of a FPSO
,” BEng thesis, The University of Western Australia, Perth.
23.
Thiagarajan
,
K. P.
, and
Troesch
,
A. W.
, 1998, “
Effect of Appendages and Small Currents on the Hydrodynamic Heave Damping of TLP Columns
,”
ASME J. Offshore Mech. Arct. Eng.
0892-7219,
120
,
37
42
.
You do not currently have access to this content.