Estimation of directional wave spectra and hull structural responses based on measured hull data on 14,000 TEU large container ships

To ensure hull structural strength of container ships in association with their increase in size, it is very important to grasp the hull stress histories all over the hull structure in actual sea state. However, ordinary hull stress monitoring systems are insufficient for this purpose because of the small number of stress sensors actually practicable. Therefore, in this paper, we discuss an approach to reproduce the hull stress responses which are not measured based on the estimated wave spectrum from the limited measurement data. To achieve this, we introduce a new model to estimate directional wave spectra based on measured ship stress responses and ship response functions, and further we estimate other ship responses using the model. To model an arbitrarily shaped directional wave distribution, the 360° direction is discretized into 36 directions of 10-degree intervals instead of using a directional distribution function, and in each direction, the wave spectrum is represented using the Ochi (3P) spectrum with three parameters (average wave period, significant wave height, and kurtosis). The authors discuss the evaluation results based on two stress response combinations, and a comparison is made between the sea state estimates made by the proposed method and the ocean wave hindcast database (JWA). Furthermore, by comparing the significant values and the spectra of the measured response of the ship with the estimated response based on both the estimated sea state by the proposed method and the hindcast sea state, the accuracies of the proposed method and the hindcast method are discussed in terms of ship stress estimation at non-instrumented locations.     

Onboard monitoring of fatigue damage rates in the hull girder

Most new advanced ships have extensive data collection systems to be used for continuous monitoring of engine and hull performance, for voyage performance evaluation etc. Such systems could be expanded to include also procedures for stress monitoring and for decision support, where the most critical wave-induced ship extreme responses and fatigue damage accumulation can be estimated for hypothetical changes in ship course and speed in the automatically estimated wave environment.The aim of this paper is to outline a calculation procedure for fatigue damage rate prediction in hull girders taking into account whipping stresses. It is conceptually shown how such a method, which integrates onboard estimation of sea states, can be used to deduce decision support with respect to the accumulated fatigue damage in the hull girder.The paper firstly presents a set of measured full-scale wave-induced stress ranges in a container ship, where the associated fatigue damage rates calculated from a combination of the rain-flow counting method and the Palmgren-Miner damage rule are compared with damage predictions obtained from a computationally much faster frequency fatigue analysis using a spectral method. This analysis verifies the applied multi-modal spectral analysis procedure for fatigue estimation for cases where hull girder flexibility plays a role.To obtain an automated prediction method for the fatigue damage rates it is in the second part of the paper shown how a combination of the full-scale onboard acceleration and stress measurements can be used to calculate sea state parameters. These calculated environmental data are verified by a comparison to hindcast data.In the third part of the paper the full-scale fatigue stress ranges are compared to results from an analytical design oriented calculation procedure for flexible ship hulls in short-term estimated sea states.Altogether, it is conceptually shown that by a combination of the onboard estimated sea state parameters with the described analytical fatigue damage prediction procedure a method can be established for real-time onboard decision support which includes estimates of fatigue damage rates.     

建造中的船体在船台上的应力松驰现象研究

为得到建造中的船体在船台上的船体变形数据,基于FBG技术设计了船体在船台上的蠕变和应力松驰现象的监测系统,将该系统布置在实际船体结构上,测量了在船台上受结构蠕变和结构应力松驰现象综合作用所造成的船体结构变形,分析了监测过程中造成船体结构变形的因素,指出应力松驰是主要因素。数据分析表明:利用FBG传感技术进行船体变形长期监测是可行的;船体在船台上存在结构蠕变和应力松驰现象。最后,并基于壳体理论估算了船台上的船体结构的内应力释放速率。     

集装箱船整船有限元结构分析

文章以一艘１７００箱集装箱船为例,阐述了整船有限元结构分析方法。先建立全船有限元模型和质量模型,再用三维流体动力计算程序进行波浪随机载荷的长期预报,并在此基础上导出设计波参数组,最后,在全船有限元模型上 计算得出船体结构在各个设计波上的应力分布和变形结果,所得到的船体结构有限元分析结果对同类型集装箱船的设计和强度分析有一定的参考价值,对其它类型的船舶结构强度分析也有一定的借鉴意义。     

应用空间有限元模型进行船舶总振动特性的研究

本文以17500吨货船“海建”号为实例研究应用空间有限元模型计算船舶总振动的方法。对于实际船舶结构中的板,提出用平面应力元简化,以减少计算自由度数,由此产生的问题采用节点主从关系的方法解决。在编制的计算程序中,根据质量矩阵高度稀疏的特点,采用了稀疏存储技术,从而使船舶整体空间模型的振动分析能在国产中小型机器上实现。实例计算结果和测量结果的比较表明,这种计算模型合理、可靠。本文还对船舶总振动计算的梁模型、平面有限元模型、空间有限元模型作了比较和讨论。     

大开口船波浪载荷长期预报和弯扭强度整船有限元分析

大开口船全船弯扭联合变形与应力的精确计算，必须在整船结构模型上完成。本文以一艘5万吨级大开口船为例，用三维流体动力计算程序进行了波浪随机载荷的长期预报，并在此基础上导出设计波参数组，进而在全船整体结构有限元模型上计算了船体结构在各设计波上的应力分布，并采用嵌入精细舱口角区有限元网络的方法，在整船分析的同时计算出舱口角的应力集中值，获得了船体结构强度的详尽信息。文中阐述了波浪载荷的特点，设计波的确定，浮体完整结构计算的惯性平衡及大开口船的全船计算方法。     

圆筒型FPSO上部模块支撑结构疲劳分析

与船型FPSO相比,圆筒型FPSO没有明显的总纵弯曲,上部模块与船体结构之间通常采用刚性支墩来连接,水平运动所产生的弯矩和装/卸载引起的船体垂向变形对模块支撑结构的影响较为显著。因此,以“希望6号”圆筒型FPSO上部模块支撑结构为研究对象,基于DNVGL船级社规范,介绍一种简化疲劳分析方法。以FPSO运动加速度和船体变形载荷作为载荷输入条件,利用SESAM/GeniE软件进行有限元分析,得到结构在所有组合工况下应力的扫描计算结果。根据作业海域各个方向波浪发生的概率,运用简化疲劳分析方法计算得到所关注节点的疲劳损伤和各个工况对结构节点疲劳损伤度的贡献。结果表明,所关注节点的疲劳强度均满足设计疲劳强度要求;同一节点的疲劳损伤对不同浪向的敏感度不一样。该简化疲劳分析方法同样适用于承受周期性载荷的FPSO上部模块主结构和其他型式海洋结构物的疲劳分析。     

基于船体直接强度评估的可靠性分析（英文）

A method of reliability analysis based on a direct strength calculation employing the von Mises stress failure criterion is presented here. The short term strain distributions of ship hull structural components are identified through the statistical analysis of the wave-induced strain history and the long term distributions by the weighted summation of the short term strain distributions. The wave-induced long term strain distribution is combined with the still water strain. The extreme strain distribution of the response strain is obtained by statistical analysis of the combined strains. The limit state function of the reliability analysis is based on the von Mises stress failure criterion, including the related uncertainties due to the quality of the material and model uncertainty. The reliability index is calculated using FORM and sensitivity analysis of each variable that has effects on the reliability is also discussed.     

大型舰船总振动固有频率近似计算研究

基于我国舰船的设计规律,提出了一种精确计算大型舰船总振动固有频率所需初始数据的虚拟设计方法。以某舰船为原型,设计出177～200 m船长范围内系列虚拟船型主尺度及船体等值梁数据。计算出系列舰船虚拟船型船体的总振动固有频率值,扩展了船体总振动固有频率近似公式中统计系数的统计样本范围,利用扩展的统计样本数据提出了适合估算大型舰船船体总振动固有频率的经验公式。     

S-175集装箱船舶波浪载荷的船模试验与线性切片理论计算的比较

本文就日本S-175集装箱船舶的波浪载荷进行了船模试验与线性切片理论计算的比较,发现线性切片理论对于波浪载荷沿船长的纵向分布以及中拱与中垂的不同分量都与试验值存在着相当大的差异,仅纵向运动较为满意;揭示了对于在高浪级下快速舰船的波浪载荷,特别是砰击载荷应致力于开展非线性理论和试验研究。     

A medium-resolution wave hindcast study over the Central and Western Mediterranean Sea

The present study is aimed at determining the confidence limits of design wave parameters derived from numerical modeling—for both extremes and operational conditions—over the Central and Western Mediterranean Sea. The paper presents the methodology and results of an extensive validation activity conducted on a chain of medium-resolution third-generation wave models used for hindcast purposes. The stringent requirements of state-of-the-art coastal and offshore engineering applications over this area make the adoption of medium- or high-resolution hindcast wave and wind models almost mandatory because of the complex coastal geometry, bathymetry, and orography that in turn lead to large variations of the design wave parameters even within small regions. The chains of nested meteorological and wave models used in this hindcast study belong to the ETA and WaveWatch III families, respectively. In this study the wind and wave numerical models have been run over the past 20 years, with increasing resolutions of the wave models from 0.2° up to 0.04°. The results presented herein have 0.1° resolution for both wind and wave models. The wave data obtained are compared with available measurements from 14 wave buoys in coastal zones in the Central and Western Mediterranean Sea.     

波激振动和砰击颤振对大型油船疲劳强度影响研究

文章给出线性波激振动和砰击颤振引起的大型油船结构疲劳贡献度的计算方法。基于三维线性水弹性理论可计算得到包括刚体和2节点的振动模态下的垂向弯矩的传递函数,采用谱分析法对某30万吨油船进行结构疲劳强度计算,分析波激振动对船体结构疲劳损伤影响;基于二维非线性波浪载荷程序（含砰击颤振的波浪载荷）,采用时域方法对该油船进行船体梁弯矩计算,分析砰击颤振对船体梁弯矩及疲劳载荷的影响;结果表明对于该类大型油船波激振动和砰击颤振对船体的结构疲劳损伤的影响不可忽略。     

Recent progress on wave induced loading measurements in warships

Recent measurements of wave induced hull strain and flexure in RN warships are presented together with the derivation of the current design criteria for extreme hull girder bending loads. The history of the development of the shipboard instrumentation used is given and recent developments to improve the quality and ease of analysis of the data are described. An unexpectedly high transverse asymmetry in the longitudinal strains measured in destroyers is shown to be the result of a combination of vertical and lateral bending in oblique seas. Finally recent theoretical comparisons between the loading of Deep-Vee hulls and conventional UK rounded bilge hulls are presented which demonstrate the higher loading experienced by this type of hull form.     

Ocean wave spectrum estimation using measured vessel motions from an in-service container ship

This article is about the use of measured wave-induced vessel motions for estimation of ocean wave spectra by application of the wave buoy analogy. In the study, data from a larger, in-service container ship is considered. The estimation of wave spectra, equivalently sea state parameters, is based on measurements from, respectively, a gyro and two accelerometers leading to the simultaneous use of the pitching motion together with the horizontal and vertical accelerations in a position close to the forward perpendicular. The study of in-service data leads to contemplations about the vessel's advance speed, as the possible existence of sea current means that speed-over-ground (SOG) and speed-through-water (STW) will be different. The article discusses aspects related to advance speed in the context of the wave buoy analogy, and a smaller sensitivity study is conducted. Preceding to the sensitivity study, a comparison is made between sea state estimates by the wave buoy analogy and estimates obtained from a hindcast study. The article shows an acceptable agreement between the two sets of estimates. Following, the main conclusion from the sensitivity study on advance speed is that errors and uncertainties in the speed log have an effect on the estimates of the wave buoy analogy. In fact, the effect can be severe if reliable STW measurements are not available. In the final part, the article includes a few discussions about (non)stationary conditions in the context of the wave buoy analogy, and, although the effect on results is not necessarily detrimental, care must be shown when the wave buoy analogy is applied during in-service conditions.     

Calibration of response amplitude operators based on measurements of vessel motions and directional wave spectra

A vessel's response to waves is dependent on a large number of parameters, some of which are both frequency and direction dependent. To predict vessel response, these parameters are used to construct response amplitude operators (RAOs) that act as transfer functions between the directional wave spectra and the motion spectra of the vessel. In particular situations, however, vessel motions predicted using RAOs calculated with general-purpose radiation-diffraction codes and measured wave spectra are found to deviate from measured vessel responses. To address this problem, a methodology for calibrating RAOs based on measurements of the directional wave spectra and vessel motions is proposed. Use is made of a vector fitting method through which the frequency dependent hydrodynamic properties of the vessel can be approximated by a ratio of two polynomials, thus greatly reducing the number of parameters that need to be calibrated. The reduced set of parameters is subsequently related to previously identified causes of RAO inaccuracy in order to arrive at optimization algorithms for identifying more accurate RAOs from the measurements. It is shown that the RAOs can be improved with accuracy in situations where the discrepancies are caused by imprecise estimates for the vessel's radii of gyration, center of gravity, or viscous damping. When the discrepancies in the RAOs are related to the potential mass, damping and wave forces, however, the problem becomes highly non-convex and it is not possible to find a unique RAO that satisfies the data.     

在非线性波浪载荷作用下计及多种应力组合时船体总纵弯曲累积损伤计算

在时域内计算计及非线性时的船体总纵弯曲应力,与船体局部弯曲应力迭加后,可得纵向构件中合成应力的时历.对该应力时历进行雨流计数,经统计分析获得应力范围的长期分布,进而算出船体总纵弯曲时纵向构件在多种应力成份组合下的疲劳损伤.为方便此时的计算,本文提出了基于等效规则波概念的简化方法.数例表明按严格方法与按简化方法所得的结果比较接近.     

波浪作用下斜坡上护面块体应力分布的数值模拟

文章基于SPH方法和FEM/DEM方法建立了SPH-FEM/DEM的二维流固耦合数值模型,模拟了在波浪荷载作用下斜坡上的护面块体内部的应力分布。结构物的水动力条件采用SPH方法模拟,结构物边界采用虚粒子模拟,护面块体结构的受力、运动和变形采用FEM/DEM方法模拟。不同块体间的接触力采用基于势函数的罚函数法来计算,采用中心差分的显式方法来求解有限元单元的变形。应用ANSYS软件和数值模型对静水压力作用下的混凝土方块的内部应力分布进行了比较模拟分析,验证了所建立的耦合数学模型。通过数值计算给出了波浪作用下位于斜坡上的护面块体的动水压力和块体内部的应力分布,讨论了块体内不同角点位置处的应力变化特性。     

集装箱船整船结构三维有限元强度分析方法研究

以3800TEU集装箱为例，用二维切片理论进行了波浪长期预报，并在此基础上导出等效波组，在整船结构有限元模型上计算船体结构在各等效波上的变形和应力分布。文中叙述的整船结构有限元分析方法，也可以用于其他类型船的整船结构分析。     

Estimation of wave-induced ship hull bending moment from ship motion measurements

A time-domain technique for estimating wave-induced ship hull bending moment from ship motion measurements is presented. This technique is developed to improve hull response monitoring systems. Artificial neural networks are used to model the time-domain relationship between the wave-induced vertical bending moment and the coupled heave and pitch motions. The application of the proposed technique is validated using experimental data.     

Application of embedded fibre Bragg grating sensors for structural health monitoring of complex composite structures for marine applications

Fibre reinforced polymer (FRP) materials are recently widely applied in the marine industry. The high popularity of composites and safety requirements results in the development of Structural Health Monitoring (SHM) systems. One of the sensors types that can be permanently integrated with a composite structure and used as a part of SHM system are fibre Bragg grating (FBG) sensors. Among FBG sensors advantages small size, high corrosion resistance, and absence of electric current are especially important in monitoring of composite marine structures.The paper presents an application of embedded FBG sensors arrays for evaluation of complex composite structure — a fast patrol boat. The experimental investigations contain spectra analyses for thin laminate sample (skin), a composite sandwich panel and fast patrol boat hull (sandwich structure). The quality of sensors spectra (before/after embedding and loading) was determined using the Pearson correlation coefficient. The relationship between strain and temperature in exploitation range was determined for laminate and sandwich structures. A linear relationship was achieved for both elements. The relationship for the sandwich panel was then applied during strain analyses of the boat composite hull. The utility of designed FBG sensors array for the panel was also verified by sensors responses on impact excitation in chosen points on the structure. The achieved results were then used during designing FBG sensors array embedded into the hull. FBG sensors spectra deformations due to fast patrol boat hull manufacturing process and exploitation as well as strain curves determined for the boat during tests at dry dock and at sea trials are analysed.