Hydrodynamics of a body floating in a two-layer fluid of finite depth. Part 2. Diffraction problem and wave-induced motions

A linearized two-dimensional diffraction problem in a two-layer fluid of finite depth was solved for a general floating body and relevant wave-induced motions were studied. In a two-layer fluid, for a prescribed frequency, incident waves propagate with two different wave modes. Thus the wave-exciting forces and resulting motions must be computed separately for each mode of the incident wave. The boundary integral equation method developed by the authors in the Part-1 article was applied to directly obtain the diffraction potential (pressure) on the body surface. With the computed results, an investigation was carried out on the effects of the fluid density ratio and the interface position on the wave-exciting forces on the body and the motions of the body, including the case in which the body intersects the interface. By a systematic derivation using Green's theorem, all the possible reciprocity relations were derived theoretically in explicit forms for a system of finite depth; these relations were confirmed to be satisfied numerically with very good accuracy. Experiments were also carried out using water and isoparaffin oil as the two fluids and a Lewis-form body. Measured results for the sway- and heave-exciting forces and the heave motion were compared with the computed results, and a favorable agreement was found.     

近水面波浪力作用下潜体的非线性运动响应

通过对潜体近水面航行波浪力作用下非线性运动响应进行建模和计算，揭示了由于二阶波浪力民低速时潜艇操纵面舵力之不足，潜体的定深控制可能难于实现，产生逐渐上浮与露出波面的非线性现象。计算结果与自由自航模的试验结果相当吻合。     

考虑浮体弹性变形的锚泊系统分析方法

传统的锚泊系统分析方法一般是假设结构物为刚性不可变形的,这种假设对于常规海洋结构物的锚泊系统分析,其精度是可以接受的,然而对于弹性体(比如超大型浮体)来说,这种浮体刚性的假设显然是不合理的.本文基于摄动理论,分别给出了锚泊浮体(同时包括弹性体和刚性体)和锚泊系统的一阶运动方程.分别用三维水弹性理论和Goodman-Iance法求解浮体的动力响应和锚泊线的运动,并给出了两者之间的协调关系.通过数值算例分析表明,对于超大型浮体,其弹性特性对锚泊系统特性的影响是不可忽略的.     

带有月池的非对称结构物水波辐射和激励力（英文）

A highly efficient "hybrid integral-equation method" for computing hydrodynamic added-mass, wave-damping, and wave-exciting force of general body geometries with a vertical axis of symmetry is presented. The hybrid method utilizes a numerical inner domain and a semi-infinite analytical outer domain separated by a vertical cylindrical matching boundary.Eigenfunction representation of velocity potential is used in the outer domain; the three-dimensional potential in the inner domain is solved using a "two-dimensional" boundary element method with ring sources and ring dipoles to exploit the body symmetry for efficiency. With proper solution matching at the common boundary, both radiation and diffraction potentials can be solved efficiently while satisfying the far-field radiation condition exactly. This method is applied to compute the hydrodynamic properties of two different body geometries: a vertical-walled moonpool with a bottom plate that restricts the opening and a spar-like structure with a diverging bottom opening inspired by designs of floating Oscillating Water Columns. The effects of the size of the bottom opening on the hydrodynamic properties of the body are investigated for both geometries. The heave motion of the floater as well as the motion of the internal free surface under incident wave excitation are computed and studied for the spar-like structure.     

不同海况下艏部砰击及鞭状效应的试验与数值分析

为了更深入地研究船舶的鞭状效应,在拖曳水池中对某船进行了艏部砰击及鞭状效应分段模型试验研究。提出了一种可以考虑砰击力的非线性水弹性计算方法。并改进了传统的分段模型,采用变截面梁对船体刚度进行模拟以更好地接近实船。在规则波迎浪下观察到了严重的艏部砰击现象。试验数据表明,当波高从5.6m增大到21m时,由于鞭状效应原因,总弯矩相比低频波浪弯矩的增大值从24.64%增长到92.02%。最后,将不同海况下的测量结果与基于线性与非线性水弹性理论的计算结果进行了比较分析,初步验证了文中方法和程序在预报船体波浪载荷中的适用性。     

Structural safety assessment procedure for membrane-type LNG CCS considering hydroelasticity effect

As environmental regulations have become more onerous, the demand for LNG and LNG carriers has increased. The LNG cargo containment system (LNG CCS) is one of the most important facilities in LNG carriers, and many membrane types of LNG CCS have been developed so far. Traditionally, sloshing model tests are performed and a series of statistical approaches are used to obtain design sloshing pressures. Then, these design loads are utilized to analyze the structural safety of LNG CCS. In the sloshing model test, the flat and almost rigid plate is used as the LNG CCS instead of a real model, and thus, the hydroelasticity effect cannot be considered. In the present research, the effect of hydroelasticity on sloshing pressure was investigated in a fluid-structure interaction simulation. A wet drop simulation was conducted, and its results subsequently were compared with wet drop experimental test results to ensure their validity. Then, two types of structure model, namely a flat-rigid plate model and a flat-flexible CCS model, were generated to investigate the effect of hydroelasticity. Also, a fluid hitting analysis model was devised to realize the sloshing phenomenon, and the two generated structure models were applied as the structure domain in the analysis. In the fluid hitting simulations, it was found that the hydroelasticity effect on sloshing pressure is significant. Thus, correction factors, which are quantitative values of the effect of hydroelasticity, were derived (and are proposed herein). Finally, a structural safety assessment procedure for consideration of the hydroelasticity effect was derived (and is suggested herein).     

基于离散模块梁单元水弹性理论的复杂连接处建模方法

[目的]在离散模块?梁单元(DMB)水弹性理论框架下,提出针对连接形式复杂的超大型浮体结构(VLFS)的新的建模方法,并与已有方法进行对比分析.[方法]首先,概述基于DMB的水弹性分析方法,给出求解连续VLFS结构在波浪作用下的动力响应步骤;然后,针对VLFS复杂连接处进行建模,通过定义连接处的刚度矩阵,对与连接处相邻...     

55万吨矿砂船弹振响应分析（英文）

The desire to benefit from economy of scale is one of the major driving forces behind the continuous growth in ship sizes. However, models of new large ships need to be thoroughly investigated to determine the carrier's response in waves. In this work, experimental and numerical assessments of the motion and load response of a 550,000 DWT ore carrier are performed using prototype ships with softer stiffness, and towing tank tests are conducted using a segmented model with two schemes of softer stiffness. Numerical analyses are performed employing both rigid body and linear hydroelasticity theories using an in-house program and a comparison is then made between experimental and numerical results to establish the influence of stiffness on the ore carrier's springing response. Results show that softer stiffness models can be used when studying the springing response of ships in waves.     

船舶水弹性力学理论的研究进展

船舶水弹性力学理论在过去近三十年中取得了长足的进步,尤其是三维水弹性理论已被广泛应用于船舶与海洋工程领域的流固耦合问题中。全面地回顾了国内外船舶水弹性力学理论及试验研究的历史与现状,将水弹性力学理论分为二维线性、三维线性、二维非线性、三维非线性等几类,以波浪中航行船舶的水弹性力学理论研究与应用为重点,依次进行了介绍。在船舶水弹性试验方面,着重介绍了国内在整体弹性船模试验研究中取得的进展。     

Hydroelastic analysis of a very large floating plate with large deflections in stochastic seaway

The hydroelasticity of a very large floating plate with large deflections in multidirectional irregular waves is discussed. After a brief introduction on wave loads on a flexible structure, the paper derives the generalised fluid force acting on a floating structure in multidirectional irregular waves. The nonlinear sectional forces induced by the membrane forces in the plate are deduced. The hydroelastic response equations of a floating plate with large deflections in multidirectional irregular waves are established, and a solution method in the frequency domain is discussed including extreme value statistics. A very large floating structure is chosen as an example. The numerical results show that the influence of the membrane forces on the vertical displacements and the bending moments is noticeable but not that large.     

Broaching prediction of a wave-piercing tumblehome vessel with twin screws and twin rudders

The new intact stability criteria which are under development at the International Maritime Organization (IMO) are required to cover a broaching phenomenon, well known as a great threat to high-speed vessels which can lead to capsizing. Some reports exist which demonstrate that their numerical models can predict a highly nonlinear phenomenon of broaching. However, additional validation studies are needed for unconventional vessels, in addition to conventional ones, to develop direct stability assessment methods for the new intact stability criteria. In this research, we selected as the subject ship a wave-piercing tumblehome vessel with twin screws and twin rudders, a design expected to be one of a new generation of high-speed monohull ships. Firstly, a series of captive model tests were conducted to measure the resistance, the manoeuvring forces, the wave-exciting forces, the heel-induced hydrodynamic forces, and the roll restoring variation for the unconventional tumblehome vessel. Secondly, the existing mathematical model which had been developed for broaching prediction of conventional vessels with a single propeller and a single rudder was extended to unconventional vessels with twin propellers and twin rudders. Finally, comparisons between numerical simulations and the existing free running model experiments were conducted. As a result, it was demonstrated that fair quantitative prediction of broaching is realised when the rudder force variation, the roll restoring variation and the heel-induced hydrodynamic force for large heel angles are taken into account.     

Estimation of springing response for 550 000 DWT ore carrier

The desire to benefit from economy of scale is one of the major driving forces behind the continuous growth in ship sizes. However, models of new large ships need to be thoroughly investigated to determine the carrier’s response in waves. In this work, experimental and numerical assessments of the motion and load response of a 550,000 DWT ore carrier are performed using prototype ships with softer stiffness, and towing tank tests are conducted using a segmented model with two schemes of softer stiffness. Numerical analyses are performed employing both rigid body and linear hydroelasticity theories using an in-house program and a comparison is then made between experimental and numerical results to establish the influence of stiffness on the ore carrier’s springing response. Results show that softer stiffness models can be used when studying the springing response of ships in waves.     

基于一个二维修正水弹性方法的集装箱船体梁动态前极限强度评估研究

海上极端波因其巨大的波高常常导致船体的极限破坏。该文提出了一个二维的修正水弹性方法来研究一个集装箱船船体梁在极端波中的动态前极限强度。传统的极限强度评估基于准静态方法,没有动态效应被考虑。而船体在波浪下的动态结构响应是基于水弹性方法,传统的水弹性方法并不能计算船体梁的动态非线性强度。该二维修正的水弹性方法考虑时域波浪和非线性船体梁之间的耦合,将水弹性方法和Smith方法结合,用Smith方法计算船体梁的刚度,而其刚度与船体梁的强度和变形曲率有关。所以该时域的非线性刚度被用于修改水弹性方法里的常数项的结构梁刚度。几组极端波模型被用以产生船体梁的大变形和非线性动态垂向弯矩。文中分别采用修正水弹性方法和普通水弹性方法,通过改变四个重要的极端波参数如极端波最大波高、规则波的波高、波速和波长等来研究其对船体梁船中处的大变形转角和非线性垂向弯矩的影响,通过采用修正的水弹性方法计算得来的结果与水弹性方法计算得来的结果相比较,得到了一些差异和结论。     

航行船舶的三维非线性水弹性分析

基于Wu提出的浮体二阶水弹性理论[1],研究大浪中航行船舶的非线性水弹性响应,给出了数值方法和计算结果.在二阶水弹性分析中,主要考虑了大角度刚体转动和瞬时湿表面变化引起的非线性水动力.根据三维线性水弹性理论[2],采用移动脉动源格林函数和Kelvin定常兴波假定,求解了对二阶水动力做主要贡献的一阶速度势及响应.最后以航行于不规则波中的小水线面双体船为例,讨论了航速和定常兴波流场对水弹性响应的影响,并对线性和非线性响应的预报结果进行了比较.     

考虑航速及自由液面影响的声介质中三维结构水弹性力学研究

基于Wu建立的带航速三维水弹性理论,采用考虑自由液面效应的理想可压流体Green函数,提出了带航速和考虑自由液面的声介质中三维水弹性结构声辐射计算方法.对THAFTS三维水弹性计算程序进行修改,得到声介质中三维水弹性计算程序.针对无限大流体中的静态弹性球壳结构声辐射模型进行一系列数值计算,通过与解析结果的比较,验证了该计算方法和计算程序的正确性.进一步计算不同潜深、不同航速下弹性球壳的结构声辐射,以此为基础对该计算方法和计算程序进行进一步考核,同时分析了航速和自由液面对水下结构声辐射的影响.     

对一型潜器的水下振动响应分析

文章基于三维水弹性方法,分析了一型潜水器水下航行中的振动响应特性,通过求解干模态的广义坐标响应及对应的附连水质量,确定了干模态频率和湿谐振频率的对应关系。该文预报的水下响应曲线的峰值频率得到了水声试验测试结果的印证,说明了三维水弹性方法在求解水下结构振动响应问题上的有效性。文中最后对潜器尾部结构进行了改进,改进前后速度响应幅值曲线的比对表明,增加尾部纵桁结构的刚度对抑制潜器的尾部振动有明显的效果。     

Fully coupled BEM-FEM analysis for ship hydroelasticity in waves

This paper considers the problem of ship hydroelasticity, which is an important technical issue in the design of ultra-large vessels. For the analysis of fluid-structure interaction problems, a partitioned method is applied. The fluid domain surrounding a flexible body is solved using a B-spline Rankine panel method, and the structural domain is handled with a three-dimensional finite element method. The two distinct methods are fully coupled in the time domain by using an implicit iterative scheme. The numerical results of natural frequency and the motion responses of simple and segmented barges are computed to validate the present method through comparisons with experimental and numerical results. This study extends to the application to two real ships, 6500 TEU and 10,000 TEU containerships, for more validation and also observation on the practicality of the present method. Based on this study, it is found that the present method provides reliable solutions to linear ship hydroelasticity problems.     

The dynamics of deep water subsea lifting operations in super-harmonic resonance via the harmonic balance method

The dynamics of deep water subsea lifting operations experiencing super-harmonic resonance is analysed in this study. The harmonic balance method is used to solve the non-dimensional equation of motion of the system and the results are compared with time domain integration and with an equivalent energy dissipation model for typical subsea lifting scenarios. It is demonstrated that 1:3 and 1:5 super-harmonic resonances represent significant features of the response of the system and can lead to large dynamic forces in the cable, which may violate the structural limits of the system in real operations. The harmonic balance method presents results almost as accurate as the time domain integration but up to 25 to 35 times faster, while the equivalent energy dissipation model is not able to represent the super-harmonic resonances. Consequently, taking into account the dynamics introduced by super-harmonic resonances is necessary in the analysis of subsea lifting operations, as it can be the limiting design criterion in certain scenarios, and the harmonic balance method can be used as a fast and accurate method to solve this problem.     

Wave responses of a coastal cargo ship consisting of unit modules

This article discusses the dynamic responses of a coastal cargo ship that consists of unit modules with advance forward speed in waves. We introduce a simple way of connecting the modules that has enough capability to link the modular parts of the ship as a unified whole. The flexible connection consists of male and female rubber fenders with additional pretensioned ropes. This kind of connection system is proposed for use in coastal regions with relatively calm waters wherein the modular ship can move at a moderate speed. The modules are assumed to be rigid compared to the connections. Computations were performed to investigate the vertical elastic responses of four modules connected end-to-end with the assumption that in the simple hinge, no gaps occur in the flexible rubber connections between adjacent modules. A simple method, which is an extension of the computational analysis we reported previously, is presented to study the hydroelasticity and rope tension forces of the modular ship with forward speed in waves. Experiments with a three-dimensional model at Froude numbers of 0 and 0.16 in head waves were performed to evaluate the effectiveness of the calculation method. In the experiments, deflections for each part were measured using calibrated potentiometers. Force transducers were used to measure the rope tension force between the modules of the articulated cargo ship. Some slight differences were observed, but generally the calculated results showed the same trends as the experimental values.     

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.