基于统一模型的船舶迎浪参数横摇数值预报及其舵减摇研究

国际海事组织（IMO）正致力于第二代完整稳性规范的制定,而参数横摇一直是船舶动态完整稳性研究的热点。文章采用考虑船舶操纵性和耐波性运动耦合的统一模型对迎浪规则波下的船舶参数横摇运动进行了时域数值模拟。在时域模型中,六自由度耐波性运动辐射绕射力采用切片理论计算,并由脉冲响应函数法转化到时域。非线性回复力和入射波力采用瞬时湿表面压力积分方法计算。操纵性运动基于MMG模型,依据统一理论将操纵性与耐波性运动进行耦合计算。文中先应用简化三自由度模型对三艘集装箱船进行了参数横摇样船计算,并进行了初步的模型实验验证,依据结果对比分析了横摇惯性矩、初稳性高和方形系数对参数横摇的影响。基于统一模型分析了操纵性运动对参数横摇的影响,并进行了参数横摇舵减摇研究。     

Study of damaged ship motions taking into account floodwater dynamics

This paper presents an application of shallow water theory to describe the motion of floodwater inside a rolling ship in damage condition. The time domain theoretical approach to the coupled problems of ship and water inside compartment motions is briefly described, including the method used to solve for the water motion characteristics and forces exerted on the ship. This approach is applied to the study of the behaviour of a passenger Ro–Ro ship in regular beam seas and numerical results are given for the intact and damaged conditions. Comparison is made with experimental results. For the damaged condition, the characteristics of the floodwater motion are studied in the time domain for a number of different wave frequencies. The shape of the free-surface and phase of water motion in relation to the ship roll motion are shown for several wave frequencies. The dynamic floodwater roll moment is also shown and compared with the static roll moment (flat horizontal free surface), allowing the conclusion that the dynamic roll moment is much larger than the static roll moment, for high wave frequencies, and is in phase opposition in relation to the roll motion.     

大幅船舶横摇运动非线性附加质量惯性矩和阻尼矩特性的非参数识别（英文）

This study aims to investigate the nonlinear added mass moment of inertia and damping moment characteristics of largeamplitude ship roll motion based on transient motion data through the nonparametric system identification method. An inverse problem was formulated to solve the first-kind Volterra-type integral equation using sets of motion signal data. However, this numerical approach leads to solution instability due to noisy data. Regularization is a technique that can overcome the lack of stability; hence, Landweber's regularization method was employed in this study. The L-curve criterion was used to select regularization parameters(number of iterations) that correspond to the accuracy of the inverse solution. The solution of this method is a discrete moment, which is the summation of nonlinear restoring, nonlinear damping, and nonlinear mass moment of inertia. A zero-crossing detection technique is used in the nonparametric system identification method on a pair of measured data of the angular velocity and angular acceleration of a ship, and the detections are matched with the inverse solution at the same discrete times. The procedure was demonstrated through a numerical model of a full nonlinear free-roll motion system in still water to examine and prove its accuracy. Results show that the method effectively and efficiently identified the functional form of the nonlinear added moment of inertia and damping moment.     

用有效的解析和数值方法估算船舶在随机横浪中的横摇运动（英文）

A steady-state roll motion of ships with nonlinear damping and restoring moments for all times is modeled by a second-order nonlinear differential equation. Analytical expressions for the roll angle, velocity, acceleration, and damping and restoring moments are derived using a modified approach of homotopy perturbation method(HPM). Also, the operational matrix of derivatives of ultraspherical wavelets is used to obtain a numerical solution of the governing equation. Illustrative examples are provided to examine the applicability and accuracy of the proposed methods when compared with a highly accurate numerical scheme.     

二代稳性衡准纯稳性丧失直接评估方法研究(二)

针对国际海事组织(IMO)正在制定的船舶第二代完整稳性衡准中的纯稳性丧失直接评估衡准,本文提出了纵荡-横荡-横摇-首摇4自由度运动耦合的标准数学模型,进行了纯稳性丧失直接评估.该方法首先基于MMG操纵性标准方法,构建纵荡-横荡-横摇-首摇4自由度运动方程,同时考虑了舵控制方程,其次在纵荡、横荡、横摇、首摇方程右边考虑时域波浪力/力矩,且横摇方程右边进一步考虑了粘性横摇阻尼力矩和波浪中复原力臂变化.最后采用ONR内倾船进行了尾斜浪中纯稳性丧失直接数值计算,为纯稳性丧失直接稳性评估衡准的应用奠定了基础.     

一种新的路径积分法在船舶横摇概率计算中的应用

基于Gauss-Legendre积分规则提出了一种新的路径积分法来计算随机横浪中船舶非线性横摇运动的概率密度分布,新的路径积分法能够得出精确的瞬态概率密度分布,包括系统响应尾部区域的概率分布,其对系统的可靠性分析是十分重要的.船舶随机横摇运动微分方程考虑到阻尼力与恢复力的非线性.数值模拟了联合概率密度函数随时间的演变,分析了外部激励强度对船舶稳态概率密度分布的影响.数值模拟的结果表明新的路径积分法对研究船舶非线性横摇运动概率密度分布是十分有效的.     

Estimation of Rolling Motion of Ship in Random Beam Seas by Efficient Analytical and Numerical Approaches

A steady-state roll motion of ships with nonlinear damping and restoring moments for all times is modeled by a second-order nonlinear differential equation. Ana...     

破损舰船运动与波浪载荷预报方法

为了研究舰船舱室破损对船体运动与波浪载荷的影响,采用三维频域势流理论,计算了发生第二类舱室破损后舰船在斜浪规则波上的运动与垂向弯矩。以一典型破损情况为例,计算了船舶破损后的浮态及稳性,并与破损前进行了比较,结果显示,横摇运动及垂向弯矩明显增加,而其它5个自由度运动则有所减小。基于船舶静力学原理,分析了舰船破损对浮态及稳性的影响。最后,使用格林函数法研究了舱室进水导致的液舱晃荡,结果表明,液舱晃荡附加质量在某些频率附近有明显的共振效应,必须通过阻尼系数考虑流体粘性的影响,避免产生非物理结果。     

渔船非线性横摇理论研究分析

为讨论船舶在波浪中的非线性横摇,应用非线性动力学的方法对现象进行理论分析,得到主共振情况下船舶运动稳态响应的解析解,并对实船进行稳定性分析。通过不同波浪条件下船舶非线性横摇运动的模拟计算,预报船舶在横浪中的横摇运动,预报结果与试验结果比较一致。     

Efficient estimation of extreme non-linear roll motions using the first-order reliability method (FORM)

In on-board decision support systems, efficient procedures are needed for real-time estimation of the maximum ship responses to be expected within the next few hours, given online information on the sea state and user-defined ranges of possible headings and speeds. For linear responses, standard frequency domain methods can be applied. For non-linear responses, as exhibited by the roll motion, standard methods such as direct time domain simulations are not feasible due to the required computational time. However, the statistical distribution of non-linear ship responses can be estimated very accurately using the first-order reliability method (FORM), which is well known from structural reliability problems. To illustrate the proposed procedure, the roll motion was modelled by a simplified non-linear procedure taking into account non-linear hydrodynamic damping, time-varying restoring and wave excitation moments, and the heave acceleration. Resonance excitation, parametric roll, and forced roll were all included in the model, albeit with some simplifications. The result is the mean out-crossing rate of the roll angle together with the most probable wave scenarios (critical wave episodes), leading to user-specified specific maximum roll angles. The procedure is computationally very effective and can thus be applied to real-time determination of ship-specific combinations of heading and speed to be avoided in the actual sea state.     

随机横浪中甲板上浪船舶的倾覆研究

应用相空间转移率,定量研究了随机海浪中甲板上浪船舶的倾覆,给出了甲板上浪对船舶抗倾覆能力的影响.综合考虑非线性阻尼、非线性恢复力矩和随机横浪激励,建立了无甲板上浪和有甲板上浪时船舶随机非线性横摇运动的一般方程.以一艘倾覆的拖网船为例,分别求解了无甲板上浪和有甲板上浪时,不同海况激励下船舶横摇的相对相空间转移率.以相空间转移率作为船舶稳性损失的度量,定量比较了两种情况下船舶的抗倾覆能力.研究表明,甲板上浪后,船舶在较低的海况下会产生较大的相对相空间转移率,甲板上浪严重降低船舶的抗倾覆能力,从理论上进一步揭示了甲板上浪船舶的倾覆机理.     

Large-amplitude motion responses of a Ro–Ro ship to regular oblique waves in intact and damaged conditions

This article presents a nonlinear time-domain simulation method for the prediction of large-amplitude motions of a Ro–Ro ship in regular oblique waves in an intact and a damaged condition. Numerical computations and model tests have been carried out to investigate the dynamic motion responses of Ro–Ro ship Dextra to various wave amplitudes at three different wave headings. The results of numerical and experimental investigations for stern quartering waves are reviewed. Comparisons between predictions and measurements show good agreement except in the roll-resonant region. Nonlinear effects are significant in horizontal modes of motion, and resonant roll motion, and there is strong coupling between all modes of motion in the roll-resonant region for large-amplitude responses. On the other hand, the time-domain simulation technique suffers from numerical drift in horizontal modes of motion as wave amplitude increases. This is due to nonlinear equations of motion and the lack of a restoring force and moment in horizontal motion. Received: April 30, 2002 / Accepted: August 9, 2002 Acknowledgments. II Programme of the European Community Commission under contract No. BRPR-CT97-0513. Address correspondence to: H.S. Chan (hoi-sang.chan@ncl.ac.uk)     

平台运动对深水钻井隔水管非线性动力响应的影响

文章建立了波浪、海流和船体运动等载荷综合作用下的深水钻井隔水管非线性时域动力响应模型,模型考虑了顶部张力和隔水管内部泥浆对隔水管动力响应的影响,计人了张力沿隔水管长度的变化,并采用有限差分法求解了四阶偏微分运动方程.计算了随机波浪和规则波浪下船体运动对深水钻井隔水管非线性动力响应的影响,研究分析了船体平均偏移以及波频响应和低频响应的周期和幅值对深水钻井隔水管动力响应的影响.结果表明,船体运动对深水钻井隔水管动力响应有较大的影响,在随机波浪和海流作用下,考虑船体运动时,隔水管上部最大弯矩增大了59%.船体的平均偏移主要影响底部最大弯矩.船体波频运动对上部最大弯矩有较大影响,随着波频响应的周期和幅值的变化,上部最大弯矩变化较快,而低频响应的则主要影响隔水管上部弯矩.     

Prediction of capsizing probability for a ship with trapped water on deck

The authors have already examined a method for evaluating the capsizing probability of a ship in the dead ship condition based on a piecewise linear approximation of the restoring arm. Here, this method is extended to ships with trapped water on deck. This is because the stability of ships having a relatively high bulwark, such as fishing vessels, could substantially deteriorate due to trapped water on deck. First, the mean amount of water trapped on deck was estimated as a function of the significant wave height and the mean wave period using a model experiment in irregular beam seas. Second, the restoring arm curve with trapped water on deck was calculated hydrostatically and then approximated with a piecewise linear curve. Third, the roll angle was estimated using a nonlinear and uncoupled equation of absolute roll angle under stochastic wave and wind exciting moments. The short-term and long-term capsizing probabilities were calculated for a fishing vessel operating off Kyushu. Numerical results quantitatively demonstrated that the effect on capsizing probability of trapped water on deck cannot be ignored when accurately evaluating the stability of fishing vessels.     

斜坡基床上防浪结构设计探讨

直立式防波堤承受波峰推力一般是波谷吸力的1.3～1.6倍,斜坡式防波堤和护岸顶部的防浪墙,波峰作用力是结构的控制荷载,波谷时基本不受波吸力作用,结构承受的控制水平力具有方向性。提出防浪块体设置在斜坡基床上的方案,利用斜坡方向的自重力分力克服部分波峰水平力,实现防浪结构在波峰、波谷作用下的稳定性基本处于同一水平。通过结构受力特点和施工可行性分析,初步认为在防浪结构的稳定性由基床顶面抗滑控制的情况下,该方案结构受力合理,具有可实施性和应用价值。     

基于随机Melnikov方法的甲板上浪船舶混沌运动研究

应用随机Melnikov方法和庞加莱截面研究甲板上浪时船舶的混沌运动。考虑甲板上浪对船舶静稳性的影响,建立随机横浪中船舶横摇运动方程。由随机Melnikov过程结合均方准则确定船舶产生混沌运动的参数域,计算不同参数域中船舶横摇响应的庞加莱截面和时间历程。结果表明,增加船舶阻尼将抑制混沌运动的发生。甲板上浪时船舶横摇响应的庞加莱截面上有两个吸引域,船舶运动过程有两个横摇中心。在非混沌参数域中,船舶只围绕其中的一个横摇中心运动;在混沌参数域中,发生由一个横摇中心到另一个横摇中心的随机跳跃。     

深海极限波浪运动特性的简便算法(英文)

本文基于五阶Stokes规则波理论,提出了一种快速求解深海极限波浪运动特性的数学模型.研究中,按照上跨零点和下跨零点的方法由计算或实测的极限波浪波面时间历程确定包含极限波峰或波谷的相邻两个周期的平均值为五阶Stokes规则波的波浪周期,然后根据极限波峰或波谷值反推确定波浪入射波幅.通过与已有的数值结果和实验数据对比,验证了本文所建立的数值模型可以快速准确的计算出极限波浪下的速度场,相比其他模型,更适合于工程应用.     

非线性立波作用下砂质海床动力响应及液化研究

利用傅立叶级数近似法求解非线性立波作用下海床表面波压力,基于波浪作用下海床动力响应的二维准静态模型以及液化判定标准,模拟非线性立波作用下海床动力响应以及液化深度。线性与非线性立波计算结果比较表明:当相对水深较大时,非线性立波波峰处波压力出现双峰,波谷处的波压力明显大于线性立波波谷处波压力;海床中孔隙水压力在波峰时也表现出双峰型特性,且波谷时的海床压力增大;在相同波浪条件下,非线性立波作用下海床更易液化,且液化深度大于线性立波作用下液化深度。     

畸形波作用下半潜平台运动响应研究

海洋结构物的水动力性能研究对于安全、经济的工程设计至关重要.近年来,由海浪巨大波浪引起的事故越来越多地见诸报道,因此,有必要深入研究波浪尤其是畸形波对结构物产生的载荷及运动响应.海上浮式平台的运动响应与系泊载荷密切相关,而文中的出发点正是研究在何种波浪条件下会引起平台的最大运动响应.通过对一座设计作业水深为500 m的半潜式平台进行频域计算,获得了平台在自由漂浮状态下的响应函数(RAO),并与实验数据进行了比较.通过时域模拟,获得了新年波和"三姐妹"波作用下的平台运动响应,研究了畸形波的存在对于平台运动的影响.此外,还研究了畸形波中最大波峰值及连续大波的出现间隔对平台垂荡和纵摇运动的影响,可为后续研究和工程设计提供参考.     

基于两种转换函数的真实波浪参数的统计分析（英文）

The probability distributions of wave characteristics from three groups of sampled ocean data with different significant wave heights have been analyzed using two transformation functions estimated by non-parametric and parametric methods. The marginal wave characteristic distribution and the joint density of wave properties have been calculated using the two transformations, with the results and accuracy of both transformations presented here. The two transformations deviate slightly between each other for the calculation of the crest and trough height marginal wave distributions, as well as the joint densities of wave amplitude with other wave properties. The transformation methods for the calculation of the wave crest and trough height distributions are shown to provide good agreement with real ocean data. Our work will help in the determination of the most appropriate transformation procedure for the prediction of extreme values.