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Research Papers: Structures and Safety Reliability

Calculation of Horizontal Sectional Loads and Torsional Moment

[+] Author and Article Information
Vladimir Shigunov

DNV GL SE,
Brooktorkai 18,
Hamburg 20457, Germany
e-mail: vladimir.shigunov@dnvgl.com

Alexander von Graefe

DNV GL SE,
Brooktorkai 18,
Hamburg 20457, Germany
e-mail: alexander.von-graefe@dnvgl.com

Ould el Moctar

ISMT,
University Duisburg-Essen,
Bismarckstr. 69,
Duisburg 47048, Germany
e-mail: ould.el-moctar@uni-due.de

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received June 23, 2014; final manuscript received December 16, 2014; published online January 20, 2015. Assoc. Editor: Ron Riggs.

J. Offshore Mech. Arct. Eng 137(2), 021603 (Apr 01, 2015) (10 pages) Paper No: OMAE-14-1069; doi: 10.1115/1.4029483 History: Received June 23, 2014; Revised December 16, 2014; Online January 20, 2015

Horizontal sectional loads (horizontal shear force and horizontal bending moment) and torsional moment are more difficult to predict with potential flow methods than vertical loads, especially in stern-quartering waves. Accurate computation of torsional moment is especially important for large modern container ships. The three-dimensional (3D) seakeeping code GL Rankine has been applied previously to the computation of vertical loads in head, following and oblique waves; this paper addresses horizontal loads and torsional moment in oblique waves at various forward speeds for a modern container ship. The results obtained with the Rankine source-patch method are compared with the computations using zero-speed free-surface Green functions and with model experiments.

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Figures

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Fig. 1

Linear torsional moment (top), horizontal shear force (middle), and horizontal bending moment (bottom) at Lpp/4 (left), Lpp/2 (middle), and 3Lpp/4 (right) from AP at speed 5.0 kn for wave directions 60 and 30 deg; / Rankine source method (60/30 deg), / zero-speed free-surface Green-function method (60/30 deg), and / model tests (60/30 deg)

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Fig. 2

Similar to Fig. 1 for wave directions 150 and 120 deg

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Fig. 3

Linear torsional moment (top), horizontal shear force (middle), and horizontal bending moment (bottom) at Lpp/4 (left), Lpp/2 (middle), and 3Lpp/4 (right) from AP at zero forward speed for wave direction 60 deg; Rankine source method, zero-speed free-surface Green-function method, and model tests

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Fig. 4

Similar to Fig. 3 at speed 10.0 kn

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Fig. 5

Similar to Fig. 3 at speed 15.0 kn

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Fig. 6

Nonlinear torsional moment at Lpp/4 (left), Lpp/2 (middle), and 3Lpp/4 (right) from AP at speed 5.0 kn for wave direction 60 deg; wave amplitude (from top to bottom) 1.5, 2.5, 3.5, and 5.0 m; Rankine source method, zero-speed free-surface Green-function method, and model tests

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Fig. 7

Nonlinear horizontal shear force at Lpp/4 (left), Lpp/2 (middle), and 3Lpp/4 (right) from AP at speed 5.0 kn for wave direction 60 deg: wave amplitude (from top to bottom) 1.5, 2.5, 3.5, and 5.0 m; Rankine source method, zero-speed free-surface Green-function method, and model tests

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Fig. 8

Nonlinear torsional moment at Lpp/4 (left), Lpp/2 (middle), and 3Lpp/4 (right) from AP at speed 5.0 kn for wave direction 120 deg; wave amplitude (from top to bottom) 1.5, 2.5, 3.5, and 5.0 m; Rankine source method, zero-speed free-surface Green-function method, and model tests

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Fig. 9

Nonlinear horizontal shear force at Lpp/4 (left), Lpp/2 (middle), and 3Lpp/4 (right) from AP at speed 5.0 kn for wave direction 120 deg; wave amplitude (from top to bottom) 1.5, 2.5, 3.5, and 5.0 m; Rankine source method, zero-speed free-surface Green-function method, and model tests

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