A regression and beam theory based approach for fatigue assessment of containership structures including bending and torsion contributions

Container shipping has been expanding dramatically during the last decade. Due to their special structural characteristics, such as the wide breadth and large hatch openings, horizontal bending and torsion play an important role to the fatigue safety of containerships. In this study the fatigue contributions from vertical bending, horizontal bending and torsion are investigated using full-scale measurements of strain records on two containerships. Further, these contributions are compared to results from direct calculations where a nonlinear 3D panel method is used to compute wave loads in time domain. It is concluded that both bending and torsion have significant impacts on the fatigue assessment of containerships. The stresses caused by these loads could be correctly computed by full-ship finite element analysis. However, this requires large computational effort, since for fatigue assessment purposes the FE analysis needs to be carried out for all encountered sea states and operational conditions with sufficient time steps for each condition. In this paper, a new procedure is proposed to run the structure finite element analysis under only one sea condition for only a few time steps. Then, these results are used to obtain a relationship between wave loads and structural stresses through a linear regression analysis. This relation can be further used to compute stresses for arbitrary sea states and operational conditions using the computed wave loads (bending and torsion moments) as input. Based on this proposed method for structure stress analysis, an efficient procedure is formulated and found to be in very good agreement with the full-ship finite element analysis. In addition it is several orders of magnitude more time efficient for fatigue assessment of containership structures.     

基于海况参数分析的船体梁载荷预报方法研究

利用三维势流理论在频域内计算载荷频率响应函数,在此基础上对船舶波浪载荷长短期预报方法进行了研究,分析了现有的长期预报方法,并提出只针对特定的一部分短期海况进行分析,以确定船舶在营运寿命期内航行于实际海况中的波浪载荷特征最大值。同时提出了一种基于多项式拟合的波浪载荷预报方法,建立了短期响应的最可能极值关于海浪有义波高与海浪平均向上跨零周期的函数,可以方便地确定响应的特征值。结果表明,提出的方法能够有效进行波浪载荷的预报,可供有关专业人员参考。     

波浪非线性对导管架平台疲劳寿命评估的影响研究

基于线性和非线性波浪理论,在渤海海域观测的30种海况下,选取了导管架平台易发生疲劳损伤的几个危险节点作为研究对象,并通过确定性的疲劳分析方法对这些节点进行了疲劳寿命评估。结果表明,在选取的3种阻尼条件下,考虑波浪的非线性因素后,疲劳寿命的评估结果均有所增加,为海工结构的疲劳寿命评估提供了参考意见。     

Time domain analysis procedures for fatigue assessment of a semi-submersible wind turbine

Long term time domain analysis of the nominal stress for fatigue assessment of the tower and platform members of a three-column semi-submersible was performed by fully coupled time domain analyses in Simo-Riflex-AeroDyn. By combining the nominal stress ranges with stress concentration factors, hot spot stresses for fatigue damage calculation can be obtained. The aim of the study was to investigate the necessary simulation duration, number of random realisations and bin sizes for the discretisation of the joint wind and wave distribution. A total of 2316 3-h time domain simulations, were performed.In mild sea states with wind speeds between 7 and 9 m/s, the tower and pontoon experienced high fatigue damage due to resonance in the first bending frequency of the tower from the tower wake blade passing frequency (3P).Important fatigue effects seemed to be captured by 1 h simulations, and the sensitivity to number of random realisations was low when running simulations of more than 1 h. Fatigue damage for the tower base converged faster with simulation duration and number of random realisations than it did for the platform members.Bin sizes of 2 m/s for wind, 1 s for wave periods and 1 m for wave heights seemed to give acceptable estimates of total fatigue damage. It is, however, important that wind speeds that give coinciding 3P and tower resonance are included and that wave periods that give the largest pitch motion are included in the analysis.     

高强度钛合金深潜器载人舱在三种不同类型载荷下的裂纹扩展预报

随着安全性要求的提高,深潜器耐压舱的疲劳寿命评估变得越来越重要。对于耐压舱,在其服役期间经历的载荷历程包括扰动疲劳载荷和相对稳定的蠕变载荷,目前尚未有公认合适的模型来描述这一载荷谱历程。传统疲劳寿命预报方法通常忽略蠕变效应导致疲劳寿命预测较大的不确定性。为了更清楚地理解这一机理,该文对深潜器耐压舱用β-退火钛合金TC4 ELI的裂纹扩展率进行了理论分析,分别引入了三种类型载荷作用下的裂纹扩展率模型。并开展了在包含过载和保载载荷的一系列循环三角载荷下的疲劳裂纹扩展试验,对理论模型进行了验证,为合理评估深海载人潜水器的疲劳寿命提供了基础。     

海洋核动力平台疲劳寿命评估

针对海洋核电平台,提出一种疲劳评估方法。考虑海洋核电平台的工作特性,工作状态时选取首向浪向不等概率分布的波浪载荷,拖航状态时选取全浪向等概率分布的波浪载荷,分别计算出两种波浪载荷下的疲劳损伤度,再根据两种状态下的时间分配系数得到总的损伤度。根据提出的疲劳评估方法,建立核电平台的有限元模型,选取危险疲劳节点进行细化处理,通过有限元分析得到应力传递函数以及疲劳损伤度,验证了评估方法的可靠性,确定了危险疲劳节点的位置,并为类似平台的疲劳问题提供参考。     

Stochastic wave spectra estimation (SWSE) based on response surface methodology considering uncertainty in transfer functions of a ship

In this paper, a new wave spectra estimation method is proposed in which the frequency domain wave estimation method (FDWE) is extended into a probabilistic analytical framework in order to estimate the encountered sea states involving uncertainty in transfer functions of a ship. The proposed method, named the Stochastic Wave Spectra Estimation (SWSE), makes use of an Hermite polynomial chaos expansion (PCE) to represent the uncertainty in the transfer functions and the response surfaces. The method involves a mathematical formulation where an extension of the deterministic FDWE concept to the space of random variables is made. The proposed method can accurately and easily estimate the encountered wave spectra based on ship response measurements accounting for uncertainty in the transfer functions. In this paper, numerical and experimental investigations of the proposed SWSE are made, where the uncertainties in the transfer functions of heave and pitch motions of a containership are taken into account. The validity of the SWSE is demonstrated by comparison to results of uncertainty analyses through the Monte-Carlo simulations (MCS).     

深水悬链复合锚泊线疲劳损伤计算

以某座Spar平台的锚泊系统为研究对象,首先利用三维绕射理论计算Spar平台主体波浪力,得到平台的总体运动响应时程。再建立复合锚泊线的二维非线性有限元动力分析模型,基于DelVecchio(1992)提出的经验公式,采用迭代的方法计算复合锚泊线的刚度。锚泊线和海床之间的接触作用基于刚性海床假定,基于Morrison公式计算锚泊线的惯性力和拖曳力荷载,根据计算得到的平台主体运动响应时程作为锚泊线顶端输入条件,在时域范围内进行复合锚泊线的动力分析。计算得到中国南海某海域各短期海况条件下复合锚泊线应力的时间历程曲线,采用雨流法对其计数得到对应于各短期海况条件下的疲劳载荷谱。最后根据Miner线性累积损伤模型,对复合锚泊线在长期海况条件下的疲劳损伤进行比较计算。     

集装箱船等效设计波法中疲劳载荷概率系数的确定

为了在应用等效设计波方法时将船体梁载荷规范包络值、运动包络值、加速度包络值转换为疲劳评估载荷,需得到疲劳载荷概率系数这一重要参数。采用基于三维势流理论的水动力计算软件,分析多型集装箱船不同航速及超越概率的载荷长期预报值,得到用于疲劳评估的疲劳载荷概率系数的直接计算值。对直接计算值进行回归分析,拟合出各载荷的概率系数简化公式。结果表明,简化公式比较理想。     

半潜式平台结构疲劳特征研究

本文研究2种典型结构形式半潜平台在不同海域结构应力长期分布特征。对比中国南海典型波浪散布与墨西哥湾典型波浪散布特征,计算两海域平台结构应力响应,得到平台结构应力范围长期Weibull分布形状参数。中国南海典型环境条件对于双下浮体式半潜平台结构波浪应力长期Weibull分布形状参数不大于1,对于环形浮箱半潜平台结构波浪应力长期Weibull分布形状参数不大于1.05,为针对中国南海应用简化疲劳分析方法分析半潜式平台结构疲劳寿命提供依据。同时,计算得到两类典型半潜式平台在墨西哥湾典型环境条件下结构波浪应力长期Weibull分布形状参数值不大于0.8的结论,证实对于半潜式平台的疲劳设计,南海疲劳海况较墨西哥湾海况更恶劣。     

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.     

波浪引起破损船的垂向运动和弯矩（英文）

The wave-induced vertical ship motions and bending moments of a double hull-oil tanker in realistic flooding conditions are studied. The scenarios investigated are represented by water ingress into the starboard ballast tanks for collision damage cases and both starboard and portside ballast tanks for grounding situations. Seakeeping computations are performed for eight damage scenarios and for the intact condition, each corresponding to different changes in displacement, trim, and heel. For each of the damage conditions, transfer functions of vertical motions and loads are calculated using a potential linear 3 D panel hydrodynamic code in the frequency domain that includes effect of the motion of the water in flooded tanks. A MATLAB code is developed to facilitate automated hydrodynamic simulation of many damage scenarios. Verification of seakeeping results is performed by comparing transfer functions with results of the previous study. Wave-induced vertical responses of damaged ship are then compared to those of intact ship using two spectral-based methods originating from uncertainty analysis of wave loads, which are convenient tools to assess consequences of damage on short-term ship responses. Generally, observed trend is that vertical wave-induced responses of damaged ship converge toward those of intact ship with increasing wave period. Fairly small differences between responses of asymmetrically damaged ship with respect to the symmetrical incoming wave directions are found. The results of the study are an efficient method for seakeeping assessment of damaged oil tankers and the framework for evaluating consequences of damage scenarios, heading angles, and sea conditions on seakeeping responses of damaged ships.The results can be used to decide if the intact ship model can be used instead of the damaged one for the emergency response procedure or for the risk assessment studies when modeling and computational time represent important limitations.     

薄膜型LNG船全船结构屈服和疲劳强度分析

以某薄膜型液化天然气（Liquefied Natural Gas，LNG）船的结构设计为例，开展全船屈服强度校核和基于精细网格的有限元疲劳强度分析。针对5种典型装载状态，基于美国船级社（American Bureau of Shipping，ABS）全船强度直接计算指南，采用ABS-DLA/SFA系列软件，用三维波浪载荷预报程序对波浪随机载荷进行长期预报。基于预报结果，针对每种装载状态计算15个设计波参数组，求解全船结构在各载荷组合工况下的应力分布，继而完成屈服强度校核。以甲板机械室与穹顶甲板相交处的关键节点区域的节点设计为例开展细网格局部强度分析，并通过各种改进设计解决应力集中问题。针对2种常用典型操作装载状态及营运于北大西洋海区疲劳寿命满足40a的要求，基于ABS全船疲劳强度直接计算指南计算2个典型细化位置热点应力传递函数，通过谱分析得到疲劳累积损伤和疲劳寿命，完成疲劳强度校核。采用的全船强度和疲劳分析方法和思路适用于其他超大型船舶的结构分析。     

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。     

特定航线江海通航船波浪载荷研究

为了能对江海通航船型的结构强度进行合理评估,根据载荷第一原则,按特定航线所在的E1海区的波浪统计资料,对该海区船舶的波浪载荷进行了系统研究,并给出了航行于该海区江海通航船的波浪附加弯矩、波浪附加剪力、波浪水平弯矩及波浪扭矩的长期预报值.本文的研究结果已纳入中国船级社《特定航线江海通航船检验指南》中,对特定航线江海通航船的发展起到了积极的推进作用.     

半潜式起重船波浪载荷预报

采用数值分析软件Sesam/HydroD对某半潜式起重船在航行状态和起重作业状态下的波浪载荷进行长期预报和短期预报.在航行状态下,预报得到的最大波浪弯矩和剪力分别为规范值的1.4倍和2.0倍,用于进行结构疲劳评估(超越概率为10-2)的波浪弯矩最大预报值约为用于进行结构强度评估(超越概率为10-8)的波浪弯矩最大预报值...     

能量耗散效应的多域边界元法(英文)

The wave diffraction and radiation around a floating body is considered within the framework of the linear potential theory in a fairly perfect fluid.The fluid domain extended infinitely in the horizontal directions but is limited by the sea bed,the body hull,and the part of the free surface excluding the body waterplane,and is subdivided into two subdomains according to the body geometry.The two subdomains are connected by a control surface in fluid.In each subdomain,the velocity potential is described by using the usual boundary integral representation involving Green functions.The boundary integral equations are then established by satisfying the boundary conditions and the continuous condition of the potential and the normal derivation across the control surface.This multi-domain boundary element method(MDBEM) is particularly interesting for bodies with a hull form including moonpools to which the usual BEM presents singularities and slow convergence of numerical results.The application of the MDBEM to study the resonant motion of a water column in moonpools shows that the MDBEM provides an efficient and reliable prediction method.     

液化石油气船疲劳强度校核方法

提出了改进的ＦＡＳＳ（Ｆａｔｉｇｕｅ Ａｓｓｅｓｓｍｅｎｔ ｏｆ Ｓｈｉｐ Ｓｔｒｕｃｔｕｒｅｓ）评估系统,使之适用于液化石油ＬＰＧ,Ｌｉｑｕｉｆｉｅｄ Ｐｅｔｒｏｌｅｕｍ Ｇａｓ）船船体结构的疲劳寿命校核。该系统从疲劳分析的基本原理出发,以疲劳累积损伤度公式为理论基础,可对船体结构进行疲劳寿命校核。通过对１６５００ｍ＾３ＬＰＧ船的验算,表明改进后的方法能有效评估ＬＰＧ船舶体结构的疲劳寿命。     

Estimation of nonlinear long-term extremes of hull girder loads in ships

This paper deals with a estimation of long-term extreme value for a given return period, say D=100 yr. In principle, this response is obtained by combining the response in all the sea states. The long-term response for a linear system can be effectively obtained by determining the response for each sea state, specified by the significant wave height, H_s, and the peak period, T_p, in the frequency domain. However, if the response is nonlinear, time domain simulation and a long time series would be required, to limit statistical uncertainty. Therefore, the long-term analysis becomes rather complicated and time consuming. For the long-term analysis, it is crucial to introduce ways to improve the efficiency in the calculation. In this work, it is shown that, the long-term extremes can be estimated by considering only a few short-term sea states. A long-term analysis based on identifying the most important sea state, defined by the coefficient of contribution, using linear analysis is applied. An iteration procedure is thereafter used to find the nonlinear long-term extreme values. It is concluded that only a limited number of sea states is necessary to get an acceptable estimate of the nonlinear D-year response as long as the most important sea states are included, i.e., the sea state with the maximum coefficient of contribution.     

HCSR疲劳载荷概率水平及形状参数的研究

针对协调共同规范（HCSR）中疲劳评估的概率水平和形状参数的选取问题,通过理论分析和数值计算分析对结构疲劳损伤贡献率最大的长期应力范围所对应的超越概率水平,分析不同超越概率水平下形状参数对结构疲劳寿命的敏感性,通过实船谱分析计算,得到热点应力范围长期分布。