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Ocean Engineering

Investigation of Restoring Stiffness in the Hydroelastic Analysis of Slender Marine Structures

[+] Author and Article Information
I. Senjanović

Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lučića 5, 10 000 Zagreb, Croatiaivo.senjanovic@fsb.hr

N. Hadžić, M. Tomić

Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lučića 5, 10 000 Zagreb, Croatia

J. Offshore Mech. Arct. Eng 133(3), 031107 (Apr 01, 2011) (10 pages) doi:10.1115/1.4001961 History: Received July 09, 2009; Revised April 21, 2010; Published April 01, 2011; Online April 01, 2011

The restoring stiffness, which couples displacements and deformations, plays a very important role in hydroelastic analysis of marine structures. The problem of its formulation is quite complex and is still discussed in relevant literature. In this paper, the recent formulations of restoring stiffness are correlated and analyzed. Due to some common terms of the restoring and geometric stiffness, the unified stiffness is established and compared with the complete restoring stiffness known in relevant literature. It is found out that the new formula deals with more terms and that under some assumptions, it is reduced to the known complete restoring stiffness. The unified stiffness constitution is analyzed through derived analytical formulae for prismatic pontoon. Its consistency is checked for the rigid body displacements. Also, numerical results of the hydroelastic response of segmented barge are correlated with available model test results. Some issues, that are important for practical implementation in the hydroelastic code for flexible structures, are described.

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Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

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Figure 9

Transfer function of amplitude of the first elastic mode EI=107 Nm2 restoring stiffness C

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Figure 11

Transfer function of vertical bending moment

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Figure 12

Zoomed transfer function of vertical bending moment

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Figure 1

Coordinate system in hydroelastic analysis

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Figure 2

Pontoon main particulars

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Figure 3

Static boundary load

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Figure 4

Barge cross-section

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Figure 5

The first dry natural mode of vertical vibrations

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Figure 6

The second dry natural mode of vertical vibrations

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Figure 7

Transfer function of vertical bending moment at midship

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Figure 10

Transfer function of amplitude of the first elastic mode EI=306 Nm2 restoring stiffness C

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