A multiscale material-structure-hydroelasticity coupled analytical model for floating sandwich structures with hierarchical cores

A novel material-structure-hydroelasticity coupling analytical model is proposed for marine structures, which is utilized for the calculation and optimization of a very large floating sandwich structure (VLFSS) with a hierarchical ultrahigh-performance concrete (UHPC) core in this study. For the coupling material and structure analysis, three-dimensional representative volume element and self-consistent methods are developed to reveal the physical relations between the UHPC core's macroscale mechanical properties (e.g., modulus and density) and mesoscale hierarchical characteristics (e.g., aggregate and porosity) and to obtain the corresponding parameterized formulas. For the coupling material-structure-hydroelasticity analysis, a sixth-order dynamical equation for the potential flow model of the VLFSS, in which the hierarchical core's parameters are introduced through the material-structure coupling formulas, is developed. The hydroelasticity equations containing multiscale parameters are solved, and the mechanical responses are calculated. Using this coupled multiscale method, the shear force in the representative VLFSS is optimized for a smaller amplitude, which relies on the interactivity of the hierarchical structural parameters and wave conditions. These results demonstrate the potential of the multiscale coupling methodology to achieve the physically significant optimization of a floating composite structure in ocean engineering.     

顶浪、斜浪中复合材料双体艇艇体结构耦合响应数值分析

采用流固耦合（Fluid-Structure Interaction,FSI）的艇体波浪载荷和结构响应的数值分析方法,对顶浪、斜浪中复合材料双体艇结构的动态响应进行研究。分别建立了完整的复合材料艇体有限元模型以及流场模型,基于数值水池造波技术,通过计算获得了顶浪、斜浪中复合材料艇体结构的时域动态响应结果,选取高应力梯度区域,通过网格加密重构同时获得了复合材料的层间应力。选取具有代表性的前10大等效应力与内外面板最值主应力,在将 FSI与传统基于经验公式的有限元法（Finite Element Method,FEM）的结果对比中发现,FSI中拱、中垂的计算结果更接近于 FEM弯扭组合工况,而采用《钢制双体船直接计算指南》计算复合材料双体艇时,所用经验公式的顶浪航行波浪载荷计算值偏小。     

Development of interlink wear estimation method for mooring chain of floating structures: Validation and new approach using three-dimensional contact response

Long-term operation of mooring systems is one of the challenging issues of floating structures such as floating offshore wind turbines (FOWTs). For integrity assessment, fatigue and its affecting factors have generated considerable recent research interest as the occurrence of a large number of mooring chain failures at a high rate has been reported. By contrast, only few studies on the effect of nonuniform volume loss of mooring chain links due to wear can be found because of difficulties to estimate wear amounts quantitatively. Considering this issue, in this paper, validation of the quantitative interlink wear estimation method is investigated by applying to a spar-type floating structure. Firstly, the method is presented which consists of the material test, derivation of an interlink wear estimation formula with FE analysis, and calculation of mooring chain response with coupled dynamic analysis using a mass-spring model. To improve insufficient accuracy due to the mass-spring model around a clump weight and the touchdown point, the method is further modified by using a 3-D rigid-body link model. The estimation results and comparison show that the modified method distinguishing between rolling and sliding can calculate the interlink wear amount closer to the chain diameter measurements and more reasonable than the method using the conventional mass-spring model.     

Design,modelling, and analysis of a large floating dock for spar floating wind turbine installation

Installation of floating wind turbines at the offshore site is a challenging task. A significant part of the time efficiency and costs are related to the installation methods which are sensitive to weather conditions. This study investigates a large floating dock concept, which can be used to shield a floating wind turbine during installation of tower, nacelle, and rotor onto a spar foundation. In this paper, the concept is described in detail, and a design optimisation is carried out using simple design constraints. Hydrodynamic analysis and dynamic response analysis of the coupled system of the optimum dock and spar are conducted. Two spars of different sizes are considered, and the motion responses of the spars with and without the dock in irregular waves are compared. Through analysis of the motion spectra and response statistics, dynamic characteristics of the coupled system is revealed. The present design of the dock reduces the platform-pitch responses of the spars and potentially facilitates blade mating, but may deteriorate the heave velocity of the spars in swell conditions. Finally, future design aspects of the floating dock are discussed.     

A B-spline Galerkin scheme for calculating the hydroelastic response of a very large floating structure in waves

This paper presents an effective scheme for computing the wave-induced hydroelastic response of a very large floating structure, and a validation of its usefulness. The calculation scheme developed is based on the pressure-distribution method of expressing the disturbance caused by a structure, and on the mode-expansion method for hydroelastic deflection with the superposition of orthogonal mode functions. The scheme uses bi-cubic B-spline functions to represent unknown pressures, and the Galerkin method to satisfy the body boundary conditions. Various numerical checks confirm that the computed results are extremely accurate, require relatively little computational time, and contain few unknowns, even in the region of very short wavelengths. Measurements of the vertical deflections in both head and oblique waves of relatively long wavelength are in good agreement with the computed results. Numerical examples using shorter wavelengths reveal that the hydroelastic deflection does not necessarily become negligible as the wavelength of incident waves decreases. The effects of finite water depth and incident wave angle are also discussed.     

近岛礁地形影响下的浮式平台运动响应

近岛礁附近的地形一般呈现高低不平的状态,水深从几十米到几米不等。远场波浪向近岸传递过来时在礁盘上会经过复杂的演化,使得浮体附近的波浪呈现一定的非均匀性,不同于常规的长峰规则波,同时礁盘的起伏变化会对波浪中的浮体的运动产生影响,最终使得浮体在复杂地形下的水动力运动响应不同于一般均一水深下的浮体响应。该文通过建立浮体和礁盘地形的耦合水动力模型,计算了礁盘对浮体入射波力、绕射力、辐射水动力系数以及运动的影响,同时与水池模型试验对比了浮体运动,两者较为一致。研究表明复杂地形对浮体的水动力运动存在较大的影响,在某些周期附近会增大浮体的运动响应,因此需要理性考虑复杂地形对浮体的影响。     

Stochastic averaging for estimating a ship roll in random longitudinal or oblique waves

In this work, the C11 container ship is taken as an example to analyze its rolling performances in random longitudinal or oblique waves. Firstly, a dynamic model of C11 roll in random waves is improved, and it is verified by the model test and numerical simulation. Mathematically, this dynamic model is a one-dimensional stochastic differential equation with random parametric (and external) excitation. Secondly, an enhanced stochastic averaging method is proposed to solve this stochastic differential equation. The validity of the solutions was verified by Monte Carlo simulation. At last, the probabilistic characteristics of the extreme rolling response were investigated based on the calculated results using enhanced stochastic averaging method. According to the analysis, some advices for ship's manoeuvring can be put forward when ships are navigating in random waves.     

On the hydroelastic responses of a very large floating structure in waves

New numerical methods are presented for hydroelastic analyses of a very large floating structure (VLFS) of several kilometers length and width. Several methods are presented that accelerate computation without an appreciable loss of accuracy. The accuracy and efficiency of the proposed methods are validated through comparisons with other numerical results as well as with existing experimental results. After confirming the effectiveness of the methods presented, various characteristics of the hydroelastic behavior of VLFSs are examined, using the proposed methods as numerical tools. Received for publication on Dec. 3, 1999; accepted on Dec. 15, 1999     

梁结构的振动响应研究

研究有限均匀欧拉梁结构的振动响应。梁结构包括单跨梁和具有中间支座支撑的多跨梁结构。采用波动分析法来分析梁结构的振动响应。梁的边界条件采用边界阻抗来定义,建立了求解标准边界条件下有限梁结构在简谐外力激励时响应的统一方程,为分析计算具有标准边界条件的梁结构振动响应奠定基础。     

超大型浮体柔性连接器动响应研究

为了降低VLFS(超大型浮体)模块连接的巨大载荷,通常选择柔性连接器.本文以某横向浮筒式的浅吃水超大型浮体为研究对象,采用RMFC模型(刚性模块柔性连接器)分析连接器载荷和模块运动响应,并与三模块模型试验进行比较验证.通过较高和较低横向刚度的系列纵向和垂向刚度组合的连接器载荷计算,给出连接器载荷随刚度变化的关系,分析连接器载荷峰值出现的原因.针对连接器载荷峰值对应的刚度组合,计算模块运动响应,分析模块相对运动模式.研究结果表明,对于较高和较低的横向刚度,均存在一定的纵向和垂向刚度组合,导致连接器载荷出现较大的峰值;连接器载荷峰值对应浪向角85°左右的海况,模块相对运动主要表现为艏摇.     

二维浮式结构物与完全非线性波相互作用数值分析

基于粘流理论、流固耦合理论和自由液面追踪技术——VOF(Volume of Fluid)法,以不可压缩流体的连续方程和N-S方程及结构动力学方程为基本控制方程,利用商用软件ANSYS Workbench的二次开发功能,建立了粘性数值波浪水池,数值模拟了完全非线性波的生成,计算分析了二维浮式结构物遭遇波浪的完全非线性现象,得到了甲板上浪水位高度和结构物的纵摇、垂荡、横摇等运动响应。结果表明:文中的方法可以用于波浪与浮式结构物相互作用的完全非线性数值模拟.     

随机波浪下ROV缆索动力响应无因次分析

建立ROV作业系统垂向一维动力学模型,研究随机波浪激励下的动态响应.利用振动理论对方程无因次处理,得到阻尼比和频率比与响应关系的微分方程.采用双参数的PM波谱作为波浪函数,并对其无因次化.运用龙格库塔法对随机波浪和运动方程进行求解,得到缆索最大张力与各参数的关系,并分析缆索出现松弛的情况,并与谐波激励的响应作对比.结果表明,随机激励下,缆索的最大张力在频域出现多个峰值,在频率很大的范围内保持较大的张力,但峰值张力小于谐波激励的峰值.     

Fluid-structure-material coupling analysis for a floating laminated structure consisting of high-stiffness panels and a soft core

This paper presents a fluid-structure-material coupling analysis for the interaction between water waves and a very large floating laminated structure (VLFLS), which is consisted of two enhanced ultrahigh-performance concrete (UHPC) panels and a middle lightweight foamed rubber core. The representative volume element (RVE) method is used to design the mechanical properties of enhanced UHPC and foamed rubber, and the parameterized formulas are presented to reveal the dependency between macroscale mechanical properties and mesoscale hierarchical characteristics. By idealizing the rubber core as a uniformly distributed spring layer, an eighth-order differential equation of motion of the laminated structure is derived. In the context of linear potential flow theory, a hydroelastic analytical model is developed for the floating laminated structure with finite length under wave action. In the process of solving velocity potentials, a complicated dispersion equation for the wave motion below the laminated structure is derived, and this equation contains two pairs of conjugate complex roots with positive real parts. The various hydrodynamic quantities, including reflection coefficient, transmission coefficient, deflection, shear force, and bending moment, are calculated. The hydroelastic model is confirmed by considering the convergence of calculation results and the energy conservation of wave propagation. The coupled effects of wave action, material characteristics, structural parameters, and edge conditions on the hydroelastic and mechanical response of the floating laminated structure are clarified to provide important information regarding the optimal design of such structures.     

超细长三体船在不规则波中的运动及载荷响应研究

以1艘超细长三体船为例,分析求解其在不规则波的运动及载荷响应。根据计算,对响应结果进行分析。计算结果表明超细长三体船片体较小,对船舶总纵弯矩及垂向剪力分布的影响较小。但由于船舶重心后移,总纵弯矩及垂向剪力的最大响应也略后移;计算得出的横向弯矩分布规律表明,三体船在船宽方向也可假设成两端简支的单跨梁,据此为校核三体船片体及主体连接结构提供依据。航速不同,导致三体船浮态不同。通过计算分析,得出适合示例三体船的最佳设计航速,可以为三体船设计提供帮助。     

不规则波作用下高桩码头结构面板动力响应计算分析

以物理模型试验对应的原型高桩码头单面板及整体结构为研究对象,通过有限元计算软件ABAQUS建立其有限元分析模型,并针对码头单面板及整体结构进行静动力计算,研究分析不同波浪类型、不同作用频率下码头单面板及整体结构动力响应的影响,对比分析采用不同简化荷载计算的合理性.     

Experimental study on dynamic response of a floating offshore wind turbine under various freak wave profiles

This study performed experimental investigation on the dynamic response of an in-place floating offshore wind turbine (FOWT) under freak wave actions. Based on the method of wave profile modulation, various freak wave profiles embedded in unidirectional Gaussian seas were generated in wave basin and the action of these waves on the FOWT was measured and analyzed, which has not been done before. The motions of FOWT were analyzed in time domain as well as time-frequency domain. The effect of freak wave parameters on FOWT motions was addressed, i.e., freak wave height, freak wave period, large crest, and deep trough. The dynamic response of FOWT was observed as a spike at the occurrence of freak wave in a conventional random wave, where the impact of freak wave can last for 17 spectral peak periods of wave. Data analysis shows that the motions of FOWT increased linearly with the freak wave height. In addition, the occurrence of freak wave induced the coupled effect on surge and pith, which was strengthen with the increase of freak wave height and wave period. Compared to a large crest, a deep trough of freak wave led to stronger motions and was supposed to be a key concern on the safety of the FOWT. The novel findings in this study provided a reference for the design of survival load on a FOWT and benchmarks for validating numerical models.     

连续玄武岩纤维增强复合材料船体水下爆炸响应的数值仿真

运用有限元程序MSC.Dytran数值计算水下爆炸载荷作用下连续玄武岩纤维复合材料船体舱段结构的响应,采用层合板模型模拟纤维复合材料,选取一般耦合算法计算流体与结构的耦合效应,并将计算结果与E玻璃纤维复合材料船体仿真结果进行比较,分析2种材料船体结构压力时历曲线、破坏起始位置及破坏形式,得出结论:玄武岩纤维复合材料和E玻璃纤维复合材料船体底板在爆炸载荷的作用下起始破坏形式不同,玄武岩纤维的压缩强度和拉伸强度之比较高,在实际设计制造中更有优势。在船舶建造中可以使用连续玄武岩纤维复合材料替代玻璃纤维复合材料。     

Elastic response characteristics of a very large floating structure in waves moored inside a reef

 This article describes the results of hydraulic model tests of the elastic response of a very large floating structure (VLFS) moored inside a reef in an isolated island. The distributions of strains and vertical displacements due to the elastic response of the VLFS were measured. The response characteristics were strongly affected by deformed nonlinear waves inside the reef. A two-step analytical method to compute the elastic response of a VLFS is proposed, and its validity is verified using the results of the hydraulic model tests. Received: May 2, 2002 / Accepted: March 17, 2003 RID="*" ID="*" Address correspondence to: S. Shiraishi (shiraishi@pari.go.jp) Acknowledgment. This study was supported by the Program for Promotions of Fundamental Transport Technology Research from the Corporation for Advanced Transport and Technology (CATT).