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TECHNICAL PAPERS

Two Benchmark Problems for Three-Dimensional, Linear Hydroelasticity

[+] Author and Article Information
H. R. Riggs

Department of Civil and Environmental Engineering, University of Hawaii at Manoa, 2540 Dole St. Holmes Hall 383, Honolulu, HI 96822riggs@hawaii.edu

K. M. Niimi

 Sato and Associates, Inc., 2046 South King Street, Honolulu, HI 96826

L. L. Huang

 Parsons Corp., 120 Howard St., Suite 850, San Francisco, CA 94105

J. Offshore Mech. Arct. Eng 129(3), 149-157 (Mar 28, 2007) (9 pages) doi:10.1115/1.2746397 History: Received May 05, 2006; Revised March 28, 2007

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.

Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Mode 7: Mesh and first vertical bending mode

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Figure 2

Mode 8: Second vertical bending mode

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Figure 3

Mode 9: First horizontal bending mode

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Figure 4

Mode 11: First torsional mode

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Figure 5

Heave (mode 3) RAO—barge

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Figure 6

Mode 7 RAO—barge

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Figure 7

Mode 8 RAO—barge

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Figure 8

Vertical displacement at the bow for flexible and rigid barges

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Figure 9

Vertical displacement at the stern for flexible and rigid barges

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Figure 10

Vertical displacement at midships for flexible and rigid barges

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Figure 11

Horizontal displacement at stern for flexible and rigid barges

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Figure 12

Longitudinal stress in center of top deck—barge

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Figure 13

Longitudinal stress at (−27,0,1)—barge

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Figure 15

Maximum longitudinal stresses in top of deck, 6s wave, 45deg wave angle

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Figure 16

Structural and fluid mesh for the Wigley hull: (a) 3D view and (b) offset elevations

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Figure 17

Comparison of heave and pitch for flexible and rigid models (solid symbols—flexible; hollow symbols—rigid), Wigley

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Figure 19

Bow and stern vertical displacements at middle of deck, Wigley

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Figure 20

Vertical displacement at center of deck, Wigley

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Figure 14

Longitudinal stress at center of port side—barge

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Figure 21

Longitudinal stresses, Wigley

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Figure 18

Vertical displacement at bow in modes 7 and 9, Wigley

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