Fluid-structure interaction analysis of offshore structures based on separation of transferred responses

Abstract A new partitioned fluid-structure interaction (FSI) method is proposed for dynamic analysis of offshore structures. The main idea of the developed approach is to provide the separation of different components caused by different contributions (such as transferred conditions and updated loadings). One theoretical development is that separated Laplace-domain responses can be obtained from the previous responses. The other is that the structural responses in time domain can be easily calculated by inverse Laplace transform. Once solutions to the structural responses at the time of interest are obtained, the fluid loadings can be updated to consider the impacts of the responses on the geometry of the fluid domain. More importantly, the proposed method is able to improve the estimation accuracy of the structure responses, and hence, may provide better updating results of fluid loadings when the FSI mechanism is considered. To demonstrate the correctness and accuracy of the approach, three numerical examples are used in this paper. The first example is a single degree-of-freedom (DOF) system subject to an irregular dynamic loading. The computation results show that the system responses at previous time steps can be successfully separated into typical components that correspond to different contributions such as transferred conditions and updated loadings. The system responses at current time, obtained by combining previous responses, are in a good agreement with analytical results and those obtained by the Newmark-β method. Then, the second example of a four-DOF lumped system is explored to indicate the superiority of the proposed method over the Newmark-β method in terms of accuracy. Finally, in the third example of an elastic upright cantilever beam in water, results show that the developed method has the ability to calculate dynamic responses with high precision when solving FSI problems, which implies a potential application in ocean engineering.

[1]  Bertrand Alessandrini,et al.  Violent Fluid-Structure Interaction simulations using a coupled SPH/FEM method , 2010 .

[2]  Pedro Manso,et al.  Fluid structure interaction in straight pipelines with different anchoring conditions , 2017 .

[3]  Stavros A. Anagnostopoulos,et al.  Dynamic response of offshore platforms to extreme waves including fluid-structure interaction , 1982 .

[4]  J. Pei,et al.  A Comparison of One-Way and Two-Way Coupling Methods for Numerical Analysis of Fluid-Structure Interactions , 2011, J. Appl. Math..

[5]  Corrado Altomare,et al.  Experimental Study of a Moored Floating Oscillating Water Column Wave-Energy Converter and of a Moored Cubic Box , 2019, Energies.

[6]  D. Dinkler,et al.  Fluid-structure coupling within a monolithic model involving free surface flows , 2005 .

[7]  Nicolas G. Wright,et al.  An integrated particle model for fluid–particle–structure interaction problems with free-surface flow and structural failure , 2018 .

[8]  H. Peerhossaini,et al.  Partitioned solver for strongly coupled fluid–structure interaction , 2013 .

[9]  Michael S. Triantafyllou,et al.  VORTEX-INDUCED VIBRATION OF MARINE CABLES: EXPERIMENTS USING FORCE FEEDBACK , 1997 .

[10]  Rajeev K. Jaiman,et al.  A stable second-order scheme for fluid-structure interaction with strong added-mass effects , 2014, J. Comput. Phys..

[11]  Ming Zhao,et al.  Vortex-induced vibration of two elastically coupled cylinders in side-by-side arrangement , 2014 .

[12]  W. Z. Lim,et al.  Fluid-structure interaction analysis of gravity-based structure (GBS) offshore platform with partitioned coupling method , 2016 .

[13]  Huajun Li,et al.  Dynamic analysis of offshore structures with non-zero initial conditions in the frequency domain , 2016 .

[14]  Earl H. Dowell,et al.  Modeling of Fluid-Structure Interaction , 2001 .

[15]  Zhe Tian,et al.  An improved time-domain response estimation method for floating structures based on rapid solution of a state-space model , 2019 .

[16]  Mark Cross,et al.  A finite volume unstructured mesh approach to dynamic fluid–structure interaction: an assessment of the challenge of predicting the onset of flutter , 2004 .

[17]  Zhe Tian,et al.  Interference reduction of high-energy noise for modal parameter identification of offshore wind turbines based on iterative signal extraction , 2019, Ocean Engineering.

[18]  Christopher E. Kees,et al.  An immersed structure approach for fluid-vegetation interaction , 2015 .

[19]  Abhishek K Gupta,et al.  Numerical Methods using MATLAB , 2014, Apress.

[20]  Bin Teng,et al.  Coupled dynamic analysis for wave interaction with a truss spar and its mooring line/riser system in time domain , 2012 .

[21]  Evert Klaseboer,et al.  Experimental and numerical investigation of the dynamics of an underwater explosion bubble near a resilient/rigid structure , 2005, Journal of Fluid Mechanics.

[22]  Leigh McCue,et al.  Free-surface flow interactions with deformable structures using an SPH–FEM model , 2012 .

[23]  Christopher Williams,et al.  A Cartesian cut cell based two-way strong fluid-solid coupling algorithm for 2D floating bodies , 2016 .

[24]  Fushun Liu,et al.  A general frequency-domain dynamic analysis algorithm for offshore structures with asymmetric matrices , 2016 .

[25]  L. Libersky,et al.  High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response , 1993 .

[26]  Zhang A-Man,et al.  Numerical simulation of underwater contact explosion , 2012 .

[27]  Furen Ming,et al.  Sloshing in a rectangular tank based on SPH simulation , 2014 .

[28]  Huajun Li,et al.  Pole-Residue Method for Numerical Dynamic Analysis , 2016 .

[29]  Hitoshi Gotoh,et al.  Simulations of Incompressible Fluid Flow-Elastic Structure Interactions by a Coupled Fully Lagrangian Solver , 2015 .

[30]  Andrew J. Kurdila,et al.  『Fundamentals of Structural Dynamics』(私の一冊) , 2019, Journal of the Society of Mechanical Engineers.

[31]  Anthony D. Lucey,et al.  Fluid–structure interactions in a cylindrical layered wave guide with application in the spinal column to syringomyelia , 2017 .

[32]  Hongxiang Xue,et al.  A SIMPLE-based monolithic implicit method for strong-coupled fluid–structure interaction problems with free surfaces , 2016 .

[33]  S. Koshizuka,et al.  Moving-Particle Semi-Implicit Method for Fragmentation of Incompressible Fluid , 1996 .

[34]  van Eh Harald Brummelen,et al.  A monolithic approach to fluid–structure interaction , 2004 .

[35]  Hitoshi Gotoh,et al.  Development of a fully Lagrangian MPS-based coupled method for simulation of fluid-structure interaction problems , 2014 .

[36]  Hongde Qin,et al.  Frequency response estimation of floating structures by representation of retardation functions with complex exponentials , 2017 .

[37]  Wolfgang A. Wall,et al.  Adaptive time stepping for fluid-structure interaction solvers , 2018 .

[38]  Roy R. Craig,et al.  Structural Dynamics: An Introduction to Computer Methods , 1981 .

[39]  Huidong Yang,et al.  Numerical simulation of fluid-structure interaction problems with hyperelastic models: A monolithic approach , 2014, Math. Comput. Simul..

[40]  E. Kreyszig,et al.  Advanced Engineering Mathematics. , 1974 .

[41]  O. C. Zienkiewicz,et al.  Fluid‐structure dynamic interaction and wave forces. An introduction to numerical treatment , 1978 .

[42]  R. Clough,et al.  Dynamics Of Structures , 1975 .

[43]  Thomas J. R. Hughes,et al.  Finite element modeling of blood flow in arteries , 1998 .

[44]  J. Monaghan,et al.  SPH elastic dynamics , 2001 .

[45]  Hitoshi Gotoh,et al.  Numerical simulations of sloshing flows with elastic baffles by using a particle-based fluid–structure interaction analysis method , 2016 .

[46]  Aggelos S. Dimakopoulos,et al.  CFD modelling coupled with floating structures and mooring dynamics for offshore renewable energy devices using the Proteus simulation toolkit , 2017 .

[47]  Jean-François Sigrist,et al.  Fluid-Structure Interaction: An Introduction to Finite Element Coupling , 2015 .

[48]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[49]  K. Bathe.  Finite Element Procedures , 1995 .