Stochastic hydroelastic analysis of a very large floating structure using pseudo-excitation method

Abstract This paper is concerned with the linear hydroelastic response of a pontoon-type very large floating structure (VLFS) in short-crested irregular waves. The linear potential theory is employed for the analysis of VLFS in frequency domain. To decouple the fluid–structure interaction, the higher-order boundary element method (HOBEM) combined with the finite element method (FEM) is adopted. VLFS is modeled as a Mindlin plate, and the mode superposition method is used to reduce the dimension of dynamic equations. The pseudo-excitation method (PEM) is adopted to analyze the stationary stochastic response of the floating structure. The efficiency of this new calculation scheme with the application of PEM is investigated in comparison with the conventional method for stochastic response by analyzing the computational complexity theoretically. Finally, the new calculation scheme is validated by comparing with the experimental data as well as the existing numerical results calculated in the conventional way. In addition, the efficiency of the present numerical approach is also testified which indicates that the proposed numerical scheme is time-saving.

[1]  Jang Whan Kim,et al.  A localized finite-element analysis of a floating runway in a harbor , 2001 .

[2]  M. Petyt,et al.  Introduction to Finite Element Vibration Analysis , 2016 .

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

[4]  W. Cui,et al.  Second-order hydroelastic analysis of a floating plate in multidirectional irregular waves ☆ , 2006 .

[5]  Suqin Wang,et al.  Computationally efficient techniques in the hydroelasticity analysis of very large floating structures , 1997 .

[6]  Mayumi Ochi,et al.  Integrated hydrodynamic–structural analysis of very large floating structures (VLFS) , 2005 .

[7]  Sa Young Hong,et al.  Hydroelastic response of a very large floating structure over a variable bottom topography , 2005 .

[8]  Tukuji Humamoto,et al.  Wet-Mode Superposition For Evaluating the Hydroelastic Response of Floating Structures With Arbitrary Shape , 2002 .

[9]  W. Cui,et al.  Hydroelastic analysis of flexible floating interconnected structures , 2007 .

[10]  Jørgen Juncher Jensen,et al.  Hydroelastic analysis of a very large floating plate with large deflections in stochastic seaway , 2004 .

[11]  H. Ronald Riggs,et al.  Composite singularity distribution method with application to hydroelasticity , 1993 .

[12]  M. Kashiwagi A B-spline Galerkin scheme for calculating the hydroelastic response of a very large floating structure in waves , 1998 .

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

[14]  Iason Papaioannou,et al.  Stochastic hydroelastic analysis of pontoon-type very large floating structures considering directional wave spectrum , 2013 .

[15]  Hisayoshi Endo,et al.  On the Hydroelastic Response of Box-Shaped Floating Structure with Shallow Draft , 1996 .

[16]  J. N. Newman,et al.  Boundary-Element Methods In Offshore Structure Analysis , 2002 .

[17]  Herbert A. Mang,et al.  A new method for evaluating singular integrals in stress analysis of solids by the direct boundary element method , 1985 .

[18]  Eiichi Watanabe,et al.  An eigenfunction expansion-matching method for analyzing the wave-induced responses of an elastic floating plate , 1995 .

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

[20]  Jang Whan Kim,et al.  Hydroelastic response of a mat-type, floating runway near a breakwater in irregular seas , 1999, Oceans '99. MTS/IEEE. Riding the Crest into the 21st Century. Conference and Exhibition. Conference Proceedings (IEEE Cat. No.99CH37008).

[21]  Shigeo Ohmatsu,et al.  Numerical calculation method for the hydroelastic response of a pontoon-type very large floating structure close to a breakwater , 2001 .

[22]  Zhi Zong,et al.  Fatigue damage analysis of the deepwater riser from VIV using pseudo-excitation method , 2014 .

[23]  Takuji Hamamoto,et al.  Stochastic fluid-structure interaction of large circular floating islands during wind waves and seaquakes , 1995 .

[24]  Eiichi Watanabe,et al.  Accelerated Higher Order Boundary Element Method for Wave Diffraction/Radiation Problems and Its Applications , 2002 .

[25]  M. Ohkusu,et al.  Hydroelastic analysis of a large floating structure , 2004 .

[26]  H. Barlow Surface Waves , 1958, Proceedings of the IRE.

[27]  Shogo Miyajima,et al.  Hydroelastic Responses of the Mega-Float Phase-II Model In Waves , 2003 .

[28]  Eiichi Watanabe,et al.  Application of Galerkin's method in wave response analysis of flexible floating plates , 1996 .

[29]  Yan Zhao,et al.  Pseudo Excitation Method and Some Recent Developments , 2011 .

[30]  Jiahao Lin,et al.  Seismic Random Vibration of Long-Span Structures , 2005 .

[31]  Jacob K. White,et al.  Analyzing mobile offshore bases using accelerated boundary-element methods , 2000 .

[32]  Jang Whan Kim,et al.  Comparison of hydroelastic computer codes based on the ISSC VLFS benchmark , 2008 .

[33]  Lin Jia-hao,et al.  A fast CQC algorithm of psd matrices for random seismic responses , 1992 .

[34]  Michael H. Meylan,et al.  A variational equation for the wave forcing of floating thin plates , 2001 .

[35]  Eiichi Watanabe,et al.  Fast multipole algorithm for wave diffraction/radiation problems and its application to VLFS in variable water depth and topography , 2001 .