The free-surface wave interaction with a pontoon-type very large floating structure (VLFS) is analyzed
by utilizing a modal expansion method. The modal expansion method consists of separating the hydrodynamic
analysis and the dynamic response analysis of the structure. In the dynamic response analysis of the structure,
the deflection of the structure with various edge conditions is decomposed into vibration modes that can be
arbitrarily chosen. Free-free beam model, pinned-free beam model and fixed-free beam model are three different
types of edge conditions considered in this study. For each of these beam models, the detailed mathematical
formulations for calculating the corresponding eigenvalues and eigenmodes have been given, and the mathematical
formulations corresponding to the beam models of pinned-free beam and fixed-free beam are novel. For the
hydrodynamic analysis of the structure, the boundary value problem (BVP) equations in terms of plate modes
have been established, and the BVP equations corresponding to the beam models of pinned-free beam and fixedfree
beam are also novel. When these BVP equations are solved numerically, the structure deflections and the
wave reflection and transmission coefficients can be obtained. These calculation results point out some findings
valuable for engineering design.
WANG Ying-guang (王迎光)
. Free-Surface Wave Interaction with a Very Large Floating Structure[J]. Journal of Shanghai Jiaotong University(Science), 2014
, 19(6)
: 728
-735
.
DOI: 10.1007/s12204-014-1558-7
[1] Watanabe E, Utsunomiya T, Wang C M. Hydroelastic analysis of pontoon-type VLFS: A literature survey [J]. Engineering Structures, 2004, 26(2): 245-256.
[2] Watanabe E, Wang C M, Utsunomiya T,et al. Very large floating structures: Applications,analysis and design [EB/OL] [2004-02-01].www.eng.nus.edu.sg/core/publicationsresearchreports.html.
[3] Suzuki H. Overview of megafloat: Concept, design criteria, analysis, and design [J]. Marine Structures,2005, 18: 111-132.
[4] Newman J N.Wave effects on deformable bodies [J].Applied Ocean Research, 1994, 16(1): 45-101.
[5] Kashiwagi M. A B-spline Galerkin scheme for calculating the hydroelastic response of a very large floating structure in waves [J]. Journal of Marine Science and Technology, 1998, 3(1): 37-49.
[6] Kim J W, Ertekin R C. An eigenfunction-expansion method for predicting hydroelastic behavior of a shallow-draft VLFS [C]//Proceedings of the Second International Conference on Hydroelasticity in Marine Technology. Fukuoka, Japan: [s.n.], 1998: 47-59.
[7] Ohmatsu S. Numerical calculation method for the hydroelastic response of pontoon-type very large floating structure close to a breakwater [J]. Journal Marine Science and Technology, 2000, 5(4): 147-160.
[8] Papaioannou I, Gao R P, Rank E, et al. Stochastic hydroelastic analysis of pontoon-type very large floating structures considering directional wave spectrum [J]. Probabilistic Engineering Mechanics, 2013, 33(1):26-37.
[9] Papaioannou I, Gao R P, Rank E, et al. Hydroelastic analysis of pontoon-type very large floating structures in random seas [C]// Fifth Asian-Pacific Symposium on Structural Reliability and its Applications (5APSSRA). Singapore: [s.n.], 2012: 1-6.
[10] Gao R P,Wang C M, Koh C G. Reducing hydroelastic response of pontoon-type very large floating structures using flexible connector and gill cells [J]. Engineering Structures, 2013, 52: 372-383.
[11] Gao R P, Tay Z Y, Wang C M, et al. Hydroelastic response of very large floating structure with a flexible line connection [J]. Ocean Engineering, 2011, 38: 1957-1966.
[12] Tay Z Y, Wang C M. Reducing hydroelastic response of very large floatingstructures by altering their plan shapes [J]. Ocean Systems Engineering, 2012, 2(1): 69-81.
[13] Wang C M, Tay Z Y. Hydroelastic analysis and response of pontoon-type very large floating structures [J]. Fluid Structure Interaction II, Lecture Notes in Computational Science and Engineering, 2010, 73:103-130.
[14] Tay Z Y, Wang C M, Utsunomiya T. Hydroelastic responses and interactions of floating fuel storage modules placed side-by-side with floating breakwaters[J]. Marine Structure, 2009, 22: 633-658.
[15] Newman J N. Marine hydrodynamics [M]. Cambridge,USA: The MIT Press, 1977.
[16] Faltinsen O M. Sea loads on ships and offshore structures [M]. Cambridge, UK: Cambridge University Press, 1991.
[17] Wilson J F. Dynamics of offshore structures [M].Hoboken, New Jersey: John Wiley & Sons, Inc., 2003.
[18] Tayler A. B. Mathematical models in applied mechanics[M]. Oxford: Clarendon Press, 1986.
[19] Meylan M H. Wave response of an ice floes of arbitrary geometry [J]. Journal of Geophysical Research,2002, 107(C1): 1-5.
[20] Linton C M, Mciver P. Handbook of mathematical techniques for wave/structure interactions [M]. Boca Raton, Florida: Chapman & Hall/CRC, 2001.
[21] Wang Ying-guang. Research on slow drift extreme response and stability of ocean structures in random seas [D]. Shanghai: School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University,2008 (in Chinese).
[22] Wang Ying-guang, Tan Jia-hua. Research progress on the stability and capsizing of ships on random seas [J].Journal of Ship Mechanics, 2010, 14(1-2): 201-211 (in Chinese).
[23] John F. On the motion of floating bodies II [J]. Communications on Pure and Applied Mathematics. 1950,3: 45-101.
[24] Wehausen J V, Laitone E V. Surface waves [J]. Encyclopedia of Physics, 1960, 9: 446-778.
