Ultimate strength of container ships subjected to combined hogging moment and bottom local loads,Part 2: An extension of Smith's method

This paper is the second of two companion papers concerning the ultimate hull girder strength of container ships subjected to combined hogging moment and bottom local loads. The nonlinear finite element analysis in Part 1 has shown that local bending deformation of a double bottom due to bottom lateral loads significantly decreases the ultimate hogging strength of container ships. In this Part 2, extending Smith's method for pure bending collapse analysis of a ship's hull girder, a simplified method of progressive collapse analysis of ultimate hogging strength of container ships considering bottom local loads is developed. The double bottom is idealized as a plane grillage and the rest part of the cross section as a prismatic beam. An average stress-average strain relationship of plate/stiffened plate elements employed in Smith's method is transformed into an average stress-average plastic strain relationship, and implemented in the conventional beam finite element as a pseudo strain hardening/softening behaviors. The extended Smith's method is validated through a comparison with nonlinear finite element analysis.     

材料力学特性对球型耐压结构极限强度的影响

为了揭示材料主要力学性能对深海耐压结构极限承载能力的影响规律,本文以完整球壳为研究对象,采用非线性有限元方法,开展了材料力学特性变化对极限强度的影响研究。通过大量数值计算与归纳分析,得到了材料屈服强度和杨氏模量随厚径比变化对球壳极限强度的影响规律,研究发现随着厚径比的增加,材料刚度特性对结构极限强度的影响权重逐渐减少,屈服强度影响权重逐渐增加,在此研究基础上本文提出了一种考虑屈服强度变化的球壳极限强度计算新方法,为潜水器耐压结构选材与设计提供参考。     

无加筋平板极限强度的简化解析法与规范公式的比较

无加筋板是船舶结构的主要构件之一，船舶结构强度校核的一项重要内容就是校核各平板单元是否具备足够的强度储备。最近几年，作者们采用弹性大挠度理论和刚塑性分析相结合的简化解析方法，曾给出了板和加筋板格在联合载荷作用下的极限强度计算公式，并与部分实验值相比，吻合较好，但没有与目前船级社所采用的规范计算公式作过比较。现作这一比较工作，也包括与有限元分析的比较；同时对以前所开发的简化解析法又作了进一步的改进，文章报道这一改进结果。最后，采用上述三种方法，对影响平板极限强度的几个主要参数进行了研究，结果表明，简化解析法与规范计算公式吻合较好。     

Reliability analysis of a bulk carrier in ultimate limit state under combined global and local loads in the hogging and alternate hold loading condition

The alternate hold still-water loading in hogging combined with wave loading is critical for the safe design of bulk carriers. The ultimate longitudinal strength of the hull girder of bulk carriers in this condition has been found to be considerably reduced by the action of local lateral pressure loads. In the present paper, an interaction equation based on the ultimate hull girder strength assessment obtained by nonlinear finite element analyses is adopted to consider the relationship between ultimate longitudinal bending capacity and average external sea pressure over the bottom. This interaction equation is used as the basis for the failure function. The annual probability of failure is obtained by FORM analysis considering two typical load cases, namely, pure longitudinal hogging bending moment and combined global hogging bending moment and local lateral pressure loads. The effect of heavy weather avoidance on the failure probability is evaluated. The results show that the local lateral pressure has a significant influence on the annual probability of failure of bulk carriers in the hogging and alternate hold loading condition.     

Ultimate hull girder strength of a bulk carrier under combined global and local loads in the hogging and alternate hold loading condition using nonlinear finite element analysis

For bulk carriers in hogging, the most critical situation is the alternate hold loading (AHL) condition with odd numbered holds loaded with high density cargoes and even numbered holds empty. The effect of the local lateral pressure loads should be considered in the assessment of ultimate hull girder strength in the hogging and AHL conditions. In the present paper the ultimate strength of a Capesize bulk carrier hull girder under combined global and local loads in the hogging and AHL condition is extensively and systematically investigated using nonlinear finite element (FE) analysis with ABAQUS software. Since the bulk carrier used as a reference vessel in this study is an old design we also studied the effect of modified scantlings by multiplying the plate thickness in the bottom structure by a design modification factor (DMF). In particular, it should be noted that a DMF of 1.4 gives a design in accordance with the new CSR rules. Based on the results obtained by nonlinear FE analyses, a practical interaction equation is established between global hogging bending capacity and average external sea pressure over the bottom.     

船体结构总纵极限强度的简化逐步破坏分析方法

本文基于Smith方法,应用梁-柱理论、理想弹塑性假设、平截面假设和塑性铰理论建立了加筋板单元的应力-应变关系曲线,导出了船体结构总纵极限强度的简化逐步破坏分析方法并编制成FORTRAN计算程序.应用作者导出的简化逐步破坏分析方法分析计算了Reckling 23号模型总纵极限强度.计算结果表明,本文导出的简化逐步破坏分析方法和计算程序正确可靠,可供船体结构设计和使用.本文还对船体结构总纵极限强度的影响因素进行了分析,其中包括加筋板单元的载荷-缩短行为、横向压力、材料屈服强度和腐蚀等.     

船体结构极限强度研究进展

综述了船体结构极限强度的研究现状,分析了加筋板、船体板架和船体梁极限强度的计算方法以及船体结构极限强度的试验研究。     

船体梁极限强度的近似计算

船体梁的总纵强度是反映船舶结构安全可靠的最基本的强度指标。船体结构极限强度评估对于船舶结构初步设计、使用、维护和维修都非常重要，因此船体梁极限强度研究成为近几十年来船舶工程界的热点研究课题之一。到目前为止有两种典型的加筋板和船体梁的极限强度分析方法，它们是直接计算法和逐步破坏分析法。本文基于加筋板单元的平均应力应变曲线和逐步破坏分拆方法，提出了加筋板和船体梁极限强度的简化分析方法，考虑了初始挠度和残余应力对加筋板单元极限强度的影响。数值结果表明，采用本文简化方法得到的结果与有限元计算结果或其它逐步破坏分析结果比较符合。     

基于完整船体极限强度和搁浅剩余强度的协调共同结构规范对比分析

文章基于Smith法,根据国际船级社协会发布的2013版协调共同结构规范(HCSR)中破损模型、失效模式和载荷模型,考虑材料屈服、结构单元屈曲及后屈曲的特性,应用FORTRAN程序设计语言编写船体极限强度计算程序,以某76000吨散货船为算例,对完整船体的极限强度进行计算,对搁浅状态下破损船体的剩余强度进行计算并校核承载能力。通过在中拱和中垂工况下与其他规范的对比验证,2013版HCSR指定的剩余强度校核公式及船体梁载荷计算公式中选取的安全系数要求更高,校核更严格。     

潜器耐压液舱结构有限元分析

应用有限元方法对纵骨式耐压液舱结构进行系列计算,通过多参数多工况方案对比分析,详细讨论了耐压壳板半径、液舱壳板半径、耐压船体壳板板厚、液舱壳板板厚、相邻实肋板间距、相邻纵骨间距等参数对液舱壳板和耐压船体壳板结构强度和稳定性的影响,研究结果可供潜器耐压液舱结构设计参考,并为进一步完善耐压液舱结构的理论计算方法提供依据。     

Progressive collapse analysis of ship hull girders subjected to extreme cyclic bending

This paper introduces a novel analytical method to predict the buckling collapse behaviour of a ship hull girder subjected to several cycles of extreme load. This follows the general principles of the established simplified progressive collapse method with an extended capability to re-formulate the load-shortening curve of structural components to account for cyclic degradation. The method provides a framework for assessing residual hull girder strength following a complex series of unusually extreme load events where the wave induced bending moment rises close to, or even surpasses, the monotonic ultimate strength. These load events may be sequential, such as might be caused by a series of storm waves, or they may occur as a collection of discrete events occurring over a longer period. The extreme cyclic bending amplifies the distortion and residual stress initially induced by fabrication in the flanges of the girder, which results in a deterioration of the residual ultimate strength. Validation is firstly completed through a comparison with previously published experimental work and secondly via comparison with numerical simulation on four ship-type box girders using the nonlinear finite element method.     

实肋板式耐压液舱结构计算方法研究

应用弹性力学经典理论和求解环肋柱壳的传统方法,将耐压液舱结构的几种结构形式综合成统一的力学模型,进行整体求解,获得各应力解析表达式;提出了液舱区耐压船体壳板极限承载能力及波舱壳板失稳压力的计算方法。力学模型清晰合理,求解简便,计算结果符合实际,可应用于工程设计。     

Influence of boundary conditions on the collapse behaviour of stiffened panels under combined loads

A series of finite element analyses are conducted to investigate the influence of boundary conditions and geometry of the model on the predicted collapse behaviour of stiffened panels. Periodic and symmetric boundary conditions in the longitudinal direction are used to calculate the ultimate strength of stiffened panels under combined biaxial thrust and lateral pressure. The calculated ultimate strength of stiffened panels are compared with those by different FEM (finite element method) code and are assessed. The periodic boundary condition in the longitudinal direction for two spans or bays model provides an appropriate modelling to a continuous stiffened panel and can consider both odd and even number of half waves and thus, is considered to introduce the smaller model uncertainty for the analysis of a continuous stiffened panel.     

散货船隔舱重载下极限强度简易计算方法研究

散货船在装载矿石等重货时,通常只装载在奇数货舱内,这就是所谓的隔舱重载工况。在这种工况下,中间舱的双层底结构除受到总纵弯曲作用外,还会受到邻舱重货引起的局部弯曲作用,而且该局部弯曲的作用会降低中拱状态下船体梁的极限强度。文章提出了一种简易计算方法,顶边舱结构和底边舱结构可以看作两根梁,双层底结构可视作正交异性板,运用双梁理论和正交异性板理论可推导出局部弯曲的影响。然后,考虑该局部弯曲的作用,用Smith法计算船体梁的极限强度。最后,将文中方法计算的结果与FEM结果进行比较,并对结果进行了分析。     

焊接残余应力对深潜器耐压球壳承载能力的影响

耐压球壳通常采用焊接方式将两个半球壳连接成整球,在焊缝处产生的接近材料屈服强度的焊接残余应力对球壳的承载能力有多大的影响,是否需要做焊后消除残余应力处理,将直接影响球壳的安全性和生产成本。而现有对球壳极限强度计算,无论是理论计算还是数值计算,均只考虑了球壳初始缺陷中的几何缺陷对球壳极限强度的影响。该文将在现有的耐压壳极限强度设计公式基础上,采用数值计算的方法对耐压球壳的焊接过程进行数值模拟,得到焊后球壳的焊接残余应力分布,并在此基础上考虑残余应力对球壳极限强度的影响,结果表明,对于大潜深厚球壳,焊接残余应力对耐压球壳承载能力影响不显著,为大深度潜器耐压球罐是否需做焊后消除残余应力处理提供了一定的参考依据。     

藕节形大深度潜水器耐压壳体优化设计

藕节形切弧连接耐压壳体是大深度潜水器耐压壳体的一种新型结构形式.该文考虑初始缺陷和材料、几何非线性的影响,参考潜艇规范,采用外点罚函数(OPF)法的结构优化程序,研究了三藕节切弧连接耐压壳体的优化设计.在研究中,设计变量为耐压壳体的厚度半径比、球壳间距半径比、连接角,考虑强度、稳定性以及几何约束,使浮力因子最小.同时研究了设计变量在结构优化设计中的敏感性,以及设计变量对耐压壳体的浮力因子、强度和稳定性的影响.文中的研究结果可以为藕节形大深度潜水器耐压壳体的结构设计提供参考.     

基于IACS共同规范的散货船极限强度及敏感性分析

根据IACS共同规范（CSR），针对散货船结构，采用逐步递增破坏分析法计算船体结构的极限承载能力，同时编制了计算程序。对典型箱型梁模型和一艘散货船极限强度的计算结果表明，我们所开发的计算程序是正确可靠的。此外，对影响散货船极限强度的参数进行了敏感度探讨，计算结果表明屈服应力和板厚对船体极限强度的影响很大，应着重考虑。     

耐压船体结构典型接点疲劳寿命评估

潜艇在潜浮过程中,由于静水外压引起的工作应力与焊接残余应力叠加,形成拉压循环应力,导致耐压船体的局部结构可能出现低周疲劳裂纹.一般情况下,高强度钢在抗拉强度提高的同时往往伴随着材料塑性储备和断裂韧性的下降,因此分析高强度钢潜艇结构的低周疲劳寿命非常重要.本文基于断裂力学和Paris公式建立了潜艇耐压结构低周疲劳寿命的工程估算方法,根据裂纹无损检测的概率统计和含裂纹圆柱壳极限应力分析,给出了初始裂纹和裂纹临界状态的建议值.应用本文的简化方法分析了某潜艇结构和锥柱结合壳模型的低周疲劳寿命,锥柱结合壳模型的数值算例表明本文的计算结果与试验测试结果相吻合.     

A detailed finite element investigation of the effects of local lateral high-velocity impacts on the ultimate strength of unstiffened steel plates subjected to uniaxial in-plane compression

In this paper, the ultimate strength of unstiffened steel plates under uniaxial in-plane compression is numerically studied considering the local lateral impact of a rigid-body impactor. The plates are made of mild steel, where its behaviour is modelled by using the Johnson-Cook material model. The material parameters of the Johnson-Cook material model calibrated by the authors were employed for predicting the behaviour of the target in order to numerically reproduce the impact tests. The value of average in-plane stress of the plates is determined accounting for the collision of rigid-body impactor with masses of 50–150 gr and velocities of 400–1200 m/s. Moreover, the effects of stress waves induced as a result of lateral impact of the rigid-body impactor on the ultimate strength of the plates under uniaxial in-plane compression are also assessed. The results indicate that the ultimate strength of the plate decreases due to stress-wave creation and thus, it is required to take that into account. Besides, it is revealed that assuming the final damaged state of the plate after being laterally impacted by the rigid-body impactor as an initial condition, does not yield a correct response when evaluating its ultimate compressive strength under uniaxial in-plane compression.     

A general scaled model design method of stiffened plate subjected to combined longitudinal compression and lateral pressure considering the ultimate strength and collapse modes

A general and efficient scaled method for stiffened plates subjected to combined longitudinal compression and lateral pressure is proposed based on slenderness, simply by adjusting the number of stiffeners. The design method makes it easier to determine the dimensions of the scaled model for a given scale ratio compared with the previously proposed method. The emphasis is on the influence of the plate slenderness, the column slenderness, and the non-dimensional parameter of the lateral pressure on the ultimate strength. By maintaining the consistency of the plate slenderness and column slenderness, the proposed method is applicable for designing scaled models with materials of different yield stresses and Young's moduli. A similar effect of the lateral pressure on the ultimate strength of the prototype and scaled models is achieved by maintaining the non-dimensional parameter. In addition, the applicability of the scaled method to the initial deflection is considered, which provides a reference for similar models. The similitude of the scaled method is verified for several typical buckling modes, including the beam–column, tripping, web and overall collapse modes. Given the numerical results, the proposed general and fast scaled method can provide reasonable dimensions of scaled stiffened plates subjected to combined loads.