There has been substantial development in computer codes for three-dimensional linear hydroelasticity, but to the authors’ knowledge, there are no problems of sufficient complexity put forth in the open literature to serve as appropriate benchmark problems for a floating structure. We present in this paper detailed descriptions of two such problems for three-dimensional hydroelastic computer codes. The first structure is a rectangular, box-shaped “barge” with dimensions 100 m×10 m×2 m. The second is a Wigley hull with dimensions 100 m×10 m×4.5 m. In both cases, the deformational response is primarily global. Detailed descriptions of each structure, the finite element structural shell models, and the hydrodynamic fluid models, based on the constant panel Green’s function method, are provided. Fine meshes are used to minimize discretization errors. Detailed results, including dry natural periods and modes, wet natural periods, and wave-induced displacements and stresses, are presented. The detail is sufficient for others to use the problems as benchmarks for computer codes.

Issue Section:
Technical Papers
Keywords:
elasticity, water waves, hydrodynamics, finite element analysis, shells (structures), Green's function methods, offshore installations, structural engineering
Topics:
Displacement, Hull, Hydrostatics, Stiffness, Stress, Waves, Shells, Fluids, Finite element analysis, Errors, Green's function methods
1.
Price
,
W. G.
, and
Wu
,
Y.
, 1985, “
Hydroelasticity of Marine Structures
,”
Theoretical and Applied Mechanics
,
F. I.
Niordson
 and
N.
Olhoff
, eds.,
Elsevier
, New York, pp.
311
–
337
.
2.
Wu
,
Y.
, 1984, “
Hydroelasticity of Floating Bodies
,” Ph.D. dissertation, Brunel University.
3.
Fu
,
Y.
, and
Price
,
G. R.
, 1987, “
Interactions Between a Partially or Totally Immersed Vibrating Cantilever Plate and the Surrounding Fluid
,”
J. Sound Vib.
0022-460X,
118
, pp.
495
–
513
.
Crossref
Search ADS
 
4.
Ergin
,
A.
,
Price
,
W. G.
,
Randall
,
R.
, and
Temarel
,
P.
, 1992, “
Dynamic Characteristics of a Submerged, Flexible Cylinder Vibrating in Finite Water Depths
,”
J. Ship Res.
0022-4502,
36
, pp.
154
–
167
.
5.
Watanabe
,
E.
,
Utsunomiya
,
T.
,
Wang
,
C. M.
, and
Hang
,
L. T. T.
, 2006, “
Benchmark Hydroelastic Responses of a Circular VLFS Under Wave Action
,”
Eng. Struct.
0141-0296,
28
, pp.
423
–
430
.
Crossref
Search ADS
 
6.
Zilman
,
G.
, and
Miloh
,
T.
, 2000, “
Hydroelastic Buoyant Circular Plate in Shallow Water: A Closed Form Solution
,”
Appl. Ocean. Res.
0141-1187,
22
, pp.
191
–
198
.
Crossref
Search ADS
 
7.
Lundgren
,
J.
,
Price
,
W. G.
, and
Wu
,
Y.
, 1988, “
A Hydroelastic Investigation Into the Behaviour of a Floating ‘Dry’ Dock in Waves
,”
Proc., of Spring Meeting
,
The Royal Institution of Naval Architects
, London, Paper No. 1.
8.
Keane
,
A. J.
,
Price
,
W. G.
,
Temarel
,
P.
,
Wu
,
X.-J.
, and
Wu
,
Y.
, 1988, “
Seakeeping and Structural Responses of SWATH Ships in Waves
,”
Proc. of International Conference on SWATH Ships and Advanced Multi-Hulled Vessels II
,
RINA
, London, Preprint, Paper No. 13.
9.
Fu
,
Y.
,
Price
,
W. G.
, and
Temarel
,
P.
, 1986, “
The ‘Dry and Wet’ Towage of a Jack-Up in Regular and Irregular Waves
,”
Trans. RINA
0035-8967,
129
, pp.
147
–
158
.
10.
Bishop
,
R. E. D.
,
Price
,
W. G.
, and
Temarel
,
P.
, 1986, “
On the Hydroelastic Response of a SWATH to Regular Oblique Waves
,”
Advances in Marine Structures
,
C. S.
Smith
 and
J. D.
Clarke
, eds.,
Elsevier
, London, pp.
89
–
110
.
11.
Ertekin
,
R. C.
,
Riggs
,
H. R.
,
Che
,
X. L.
, and
Du
,
S. X.
, 1993, “
Efficient Methods for Hydroelastic Analysis of Very Large Floating Structures
,”
J. Ship Res.
0022-4502,
37
, pp.
58
–
76
.
12.
Wang
,
D. Y.
,
Riggs
,
H. R.
, and
Ertekin
,
R. C.
, 1991, “
Three-Dimensional Hydroelastic Response of a Very Large Floating Structure
,”
Int. J. Offshore Polar Eng.
1053-5381,
1
, pp.
307
–
316
.
13.
OCI
, 2005, “
HYDRAN: A Computer Program for the Hydroelastic Response Analysis of Ocean Structures
,” Report No. 1.52, OffCoast, Inc.
14.
Wung
,
C. C.
,
Manetas
,
M.
, and
Ying
,
J.
, 1999, “
Mobile Offshore Base (MOB) Design and Analysis Requirements and Hydrodynamic Tools Evaluations and Modeling Guidelines
,”
Proc. of 3rd International Workshop on Very Large Floating Structures
, University of Hawaii, Honolulu, Vol.
1
, pp.
51
–
59
.
15.
BNI
, 1999, “
Mobile Offshore Base (MOB) Design Tools and Procedures: Benchmark Analysis Report
,” Report Bechtel National, Inc.
16.
NFESC
, 2000, “
Mobile Offshore Base (MOB) Science and Technology Program Final Report
,” Naval Facilities Engineering Service Center, Report No. TR-2125-OCN.
17.
Huang
,
L. L.
, and
Riggs
,
H. R.
, 2000, “
The Hydrostatic Stiffness of Flexible Floating Structures for Linear Hydroelasticity
,”
Mar. Struct.
0951-8339,
13
, pp.
91
–
106
.
Crossref
Search ADS
 
18.
Tessler
,
A.
, 1990, “
A C0-Anisoparametric Three-Node Shallow Shell Element
,”
Comput. Methods Appl. Mech. Eng.
0045-7825,
78
, pp.
89
–
103
.
Crossref
Search ADS
 
19.
Liu
,
X. Q.
,
Ertekin
,
R. C.
, and
Riggs
,
H. R.
, 1996, “
Vibration of a Free-Free Beam Under Tensile Axial Loads
,”
J. Sound Vib.
0022-460X,
190
, pp.
273
–
282
.
Crossref
Search ADS
 
20.
Huang
,
L.
, and
Riggs
,
H. R.
, 2005, “
Development of a New Interfacing Strategy for Fluid-Structure Interaction
,”
J. Eng. Maritime Environ.
,
219
, pp.
131
–
148
.
21.
Beck
,
R.
, and
Reed
,
A.
, 2001, “
Modern Seakeeping Computations for Ships
,”
Proc. of 23rd Symposium on Naval Hydrodynamics
,
National Academy Press
, Washington, D.C., pp.
1
–
45
.
22.
Beddhu
,
M.
,
Jiang
,
M. Y.
,
Taylor
,
L. K.
, and
Whitfield
,
D. L.
, 1998, “
Computation of Steady and Unsteady Flows With a Free Surface Around the Wigley Hull
,”
Appl. Math. Comput.
0096-3003,
89
, pp.
67
–
84
.
23.
Journée
,
J. M. J.
, 1992, “
Experiments and Calculations on 4 Wigley Hull Forms in Head Waves
,” Delft University of Technology, Report No. 0909.
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