Reducing hydroelastic response of pontoon-type very large floating structures using flexible connector and gill cells

Abstract This paper presents the use of flexible connector and “gill cells” to mitigate the hydroelastic response of pontoon-type, very large floating structure (VLFS) under wave action. Gill cells are compartments in VLFS with holes or slits at their bottom surfaces to allow free passage of water and they are modeled by eliminating the buoyancy forces at their locations. In the hydroelastic analysis, the water is assumed to be an ideal fluid and its motion is irrotational so that a velocity potential exists. The VLFS is modeled as an isotropic plate according to the Mindlin plate theory. In order to decouple the fluid–structure interaction problem, the modal expansion method is adopted for the hydroelastic analysis which is carried out in the frequency domain. The boundary element method is used to solve the Laplace equation for the velocity potential, whereas the finite element method is employed for solving the equations of motion of the floating plate. Genetic algorithm is adopted as an optimization tool to optimize the layouts of gill cells. It is found that by appropriately positioning the flexible connector and a suitably distributing the gill cells in the VLFS, the hydroelastic response and stress resultants of the VLFS can be significantly reduced.

[1]  T. Sarpkaya,et al.  Mechanics of wave forces on offshore structures , 1981 .

[2]  Kaisa Miettinen,et al.  On initial populations of a genetic algorithm for continuous optimization problems , 2007, J. Glob. Optim..

[3]  Tomoaki Utsunomiya,et al.  Literature review of methods for mitigating hydroelastic response of VLFS under wave action , 2010 .

[4]  Zbigniew Michalewicz,et al.  Evolutionary Algorithms for Constrained Parameter Optimization Problems , 1996, Evolutionary Computation.

[5]  J. N. Newman WAVE EFFECTS ON DEFORMABLE BODIES , 1994 .

[6]  Odd M. Faltinsen,et al.  Sea loads on ships and offshore structures , 1990 .

[7]  James E. Baker,et al.  Reducing Bias and Inefficienry in the Selection Algorithm , 1987, ICGA.

[8]  Chan Ghee Koh,et al.  Hydroelastic response of very large floating structure with a flexible line connection , 2011 .

[9]  Chien Ming Wang,et al.  Optimal Layout of Gill Cells for Very Large Floating Structures , 2010 .

[10]  Pedro A. Diaz-Gomez,et al.  Initial Population for Genetic Algorithms: A Metric Approach , 2007, GEM.

[11]  Yoo Sang Choo,et al.  Connection design for two-floating beam system for minimum hydroelastic response , 2010 .

[12]  Eiichi Watanabe,et al.  Hydroelastic analysis of pontoon-type VLFS: a literature survey , 2004 .

[13]  Chien Ming Wang,et al.  Reducing hydroelastic response of very large floating structures by altering their plan shapes , 2012 .

[14]  K. M. Liew,et al.  Vibration of Mindlin plates. Programming the p‐version Ritz method. (Liew, K. M., Wang, C. M., Xiang, Y., Kitipornchai, S.) , 1999 .

[15]  Chien Ming Wang,et al.  Very Large Floating Structures , 2009 .

[16]  Sa Young Hong,et al.  Investigation of the Effect of Stiffness Distribution And Structure Shape On Hydroelastic Responses of Very Large Floating Structures , 2005 .

[17]  A. Korobkin,et al.  Hydroelastic behaviour of compound floating plate in waves , 2002 .

[18]  Hisaaki Maeda,et al.  Hydroelastic Behaviors of VLFS Supported by Many Aircushions With the Three-Dimensional Linear Theory , 2012 .

[19]  J. B. Waite,et al.  The dynamics of offshore structures evaluated by boundary integral techniques , 1978 .

[20]  Motohiko Murai,et al.  A Study on the Optimization for the Arrangement of Two Types of Supporting Columns for VLFS Using GA , 2010 .

[21]  K. K. Ang,et al.  Minimizing differential deflection in a pontoon-type, very large floating structure via gill cells , 2006 .

[22]  Chien Ming Wang,et al.  Effectiveness and optimal design of gill cells in minimizing differential deflection in circular VLFS , 2007 .

[23]  Z. Y. Tay,et al.  Hydroelastic response of a box-like floating fuel storage module modeled using non-conforming quadratic-serendipity Mindlin plate element , 2007 .

[24]  S. Mukherjee,et al.  Boundary element techniques: Theory and applications in engineering , 1984 .

[25]  Singiresu S. Rao Engineering Optimization : Theory and Practice , 2010 .

[26]  C. M. Linton,et al.  Rapidly convergent representations for Green' functions for Laplace' equation , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[27]  E. Hinton,et al.  A family of quadrilateral Mindlin plate elements with substitute shear strain fields , 1986 .