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Research Papers: Ocean Engineering

Ship Vertical Loads From Using an Adaptive Mesh Pressure Integration Technique for Froude–Krylov Forces Calculation

[+] Author and Article Information
José Miguel Rodrigues

Centre for Marine Technology and
Ocean Engineering (CENTEC),
Instituto Superior Técnico,
Universidade de Lisboa,
Avenida Rovisco Pais,
Lisboa 1049-001, Portugal
e-mail: miguel.rodrigues@centec.tecnico.ulisboa.pt

C. Guedes Soares

Fellow ASME
Centre for Marine Technology and
Ocean Engineering (CENTEC),
Instituto Superior Técnico,
Universidade de Lisboa,
Avenida Rovisco Pais,
Lisboa 1049-001, Portugal
e-mail: c.guedes.soares@centec.tecnico.ulisboa.pt

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received July 22, 2017; final manuscript received June 26, 2018; published online August 13, 2018. Editor: Lance Manuel.

J. Offshore Mech. Arct. Eng 141(1), 011101 (Aug 13, 2018) (6 pages) Paper No: OMAE-17-1123; doi: 10.1115/1.4040722 History: Received July 22, 2017; Revised June 26, 2018

Dynamic vertical bending moments are determined for a military vessel hull in still water and under head waves, with a weakly nonlinear method. The domain for hydrostatic and undisturbed pressures integration is time-variant and generated with a quad-tree adaptive mesh algorithm, on which exact formulations for pressure on polygonal elements are used. Linear radiation and diffraction pressures, on another mesh superimposed with the aforementioned one, are calculated with a frequency domain code. Results are compared with published experimental ones for small and large wave heights.

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References

Hirdaris, S. E. , Bai, W. , Dessi, D. , Ergin, A. , Gu, X. , Hermundstad, O. A. , Hujsmans, R. , Iijima, K. , Nielsen, U. D. , Parunov, J. , Fonseca, N. , Papanikolaou, A. , Argyriadis, K. , and Incecik, A. , 2014, “Loads for Use in the Design of Ships and Offshore Structures,” Ocean Eng., 78, pp. 131–174. [CrossRef]
Datta, R. , Rodrigues, J. M. , and Guedes Soares, C. , 2011, “Study of the Motions of Fishing Vessels by a Time Domain Panel Method,” Ocean Eng., 38(5–6), pp. 782–792. [CrossRef]
Fonseca, N. , and Guedes Soares, C. , 1998, “Time Domain Analysis of Large Amplitude Vertical Motions and Wave Loads,” J. Ship Res., 42(2), pp. 139–153. http://www.sname.org/pubs/authoroppo/journalofshipresearch
Cummins, W. , 1962, “The Impulse Response Function and Ship Motion,” David Taylor Model Basin, Maryland, MD, Report No. 1661. https://dome.mit.edu/bitstream/handle/1721.3/49049/DTMB_1962_1661.pdf?sequence=1
Matusiak, J. , 2013, Dynamics of a Rigid Ship, Aalto University, Helsinki, Finland.
Varela, J. M. , Rodrigues, J. M. , and Guedes Soares, C. , 2015, “3D Simulation of Ship Motions to Support the Planning of Rescue Operations on Damaged Ships,” Procedia Comput. Sci., 51, pp. 2397–2405. [CrossRef]
Rodrigues, J. M. , Teixeira, A. P. , and Guedes Soares, C. , 2015, “Probabilistic Analysis of the Hull-Girder Still Water Loads on a Shuttle Tanker in Full Load Condition, for Parametrically Distributed Collision Damage Spaces,” Mar. Struct., 44, pp. 101–124. [CrossRef]
Rodrigues, J. M. , and Guedes Soares, C. , 2016, “Still Water Vertical Loads During Transient Flooding of a Tanker in Full Load Condition With a Probabilistic Damage Distribution,” Ocean Eng., 129, pp. 480–494. [CrossRef]
Lee, Y. , Chan, H.-S. , Pu, Y. , Incecik, A. , and Dow, R. S. , 2012, “Global Wave Loads on a Damaged Ship,” Ships Offshore Struct., 7(3), pp. 237–268. [CrossRef]
Rodrigues, J. M. , and Guedes Soares, C. , 2014, “Exact Pressure Integrations on Submerged Bodies in Waves Using a Quadtree Adaptive Mesh Algorithm,” Int. J. Numer. Methods Fluids, 76(10), pp. 632–652. [CrossRef]
Rodrigues, J. M. , and Guedes Soares, C. , 2015, “A Generalized Adaptive Mesh Pressure Integration Technique Applied to Progressive Flooding of Floating Bodies in Still Water,” Ocean Eng., 110, pp. 140–151. [CrossRef]
Faltinsen, O. M. , 1990, Sea Loads on Ships and Offshore Structures, Cambridge University Press, New York.
Begovic, E. , Day, A. H. , and Incecik, A. , 2017, “An Experimental Study of Hull Girder Loads on an Intact and Damaged Naval Ship,” Ocean Eng., 133, pp. 47–65. [CrossRef]
Rodrigues, J. M. , and Guedes Soares, C. , 2017, “Froude-Krylov Forces From Exact Pressure Integrations on Adaptive Panel Meshes in a Time Domain Partially Nonlinear Model for Ship Motions,” Ocean Eng., 139, pp. 169–183. [CrossRef]

Figures

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Fig. 1

Coordinate systems

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Fig. 5

Mesh for nonlinear forces

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Fig. 6

Heave and pitch motions (ω = 0.698 rad/s)

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Fig. 7

Adaptive mesh (ω = 0.698 rad/s)

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Fig. 8

Still water vertical loads

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Fig. 9

Dynamic vertical bending moment response amplitude operator (ω = 0.698 rad/s)

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Fig. 10

Dynamic vertical bending moment response amplitude operators

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Fig. 2

DTMB hull body plan

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Fig. 3

DTMB hull weight distribution

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Fig. 4

Mesh for linear forces

Tables

Errata

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