Application of plastic framing requirements for polar ships

A new International Association of Classification Societies (ICAS) standard for Polar Ship design, in the form of a Unified Requirement is being developed by an international committee with representatives from many classification societies and with the active participation of many polar nations. The framing structural requirements have been developed by a combination of analysis of existing rules and ships, finite element analysis and analytical solutions of plastic collapse mechanisms. This paper describes the use of the rule formulae in designs. The formulae contain interactions between shear and bending and give the designer options and flexibility in satisfying the strength requirements. Effective design requires knowledge of the effects, and the possible approaches to reach a satisfactory design.     

A simplified method to efficiently design steel fenders subjected to vessel head-on collisions

Steel fenders have been widely used to protect bridges from vessel collisions because of their relatively large plastic deformability and energy dissipation capacity. In the design of a steel fender, detailed finite element (FE) models are usually employed. However, detailed FE analysis involves complicated modeling and substantial computation time. This method is often not applicable, particularly during preliminary design iterations. For this reason, a simplified analytical method was developed in this paper with the aim to efficiently design steel fenders under vessel collisions. For primary individual members of steel fenders, the deformation mechanisms and models as well as participations during various collision scenarios were discussed in detail. By combining the contributions of primary members, a general analytical procedure was presented to rapidly estimate the force-deformation relationship of steel fenders under various bow impacts. For the fixed and floating steel fenders, several collision scenarios were simulated by FE models to verify the accuracy of the developed analytical method. The crushing resistances and energy dissipation capacities estimated by the developed analytical method were in good agreement with those obtained from the FE simulations. Based on the analytical method, an energy-based design approach was proposed for the efficient design of steel fenders. The developed design approach was demonstrated to be capable of predicting the crush depth and peak impact force of a steel fender with good accuracy.     

Plastic design of laterally patch loaded plates for ships

Laterally loaded rectangular plates are used extensively in various marine structures, and they are often subjected to patch loading during ice action or accidental actions, such as collision and grounding. Therefore, focus is placed on investigating the resistance of laterally patch loaded plates. Plastic yield line theory has been adopted in this paper, since considerable plastic behavior is exhibited. The beneficial influence of the membrane effect during finite deformations is taken into account. The derivation of the “roof-top”-type patch loading mechanism using work energy principles is described in some detail. An alternative collapse model, as named “double-diamond” pattern herein, is proposed which could reduce the resistance and agrees better with the results from nonlinear finite element analysis (NLFEA) in plastic bending phase compared to the conventional “roof-top” model. Moreover, a plate length restriction factor is introduced to enhance the applicability of the present formulation when free formation of the collapse mechanism is restricted by the finite length of the plate. The developed formulae show reasonable agreement with the results from NLFEA of the plate resistance–deformation relationships. The resistance according to the proposed formulation is also compared with the recently developed International Association of Classification Societies (IACS) unified requirements for plating design for polar ships.     

浮冰冲击作用下的乙烯运输船体 舷侧结构强度分析

对无限航区的21000m3乙烯运输船舷侧结构,分别采用纵骨架式和横骨架式冰区加强设计。根据FSICR规范要求,更新舷侧冰带区域内构件尺寸,并针对艏部冰带区域内船体结构,分别建立了原始的、纵骨架式的和横骨架式的冰带结构设计有限元模型。通过强度计算,认为艏部冰带区新结构满足规范设计载荷要求。在此基础上,单独建立艏货舱冰区舷侧外板板架有限元模型,研究两种新设计形式适用的外板在更大浮冰冲击载荷作用下塑性变形。计算结果表明:纵骨架式结构外板塑性变形明显低于横骨架式。     

Accuracy of nonlinear finite element collapse predictions for submarine pressure hulls with and without artificial corrosion damage

Nonlinear finite element (FE) collapse pressure predictions are compared to experimental results for submarine pressure hull test specimens with and without artificial corrosion and tested to collapse under external hydrostatic pressure. The accuracy of FE models, and their sensitivity to modeling and solution procedures, are investigated by comparing FE simulations of the experiments using two different model generators and three solvers. The standard FE methodology includes the use of quadrilateral shell elements, nonlinear mapping of measured geometric imperfections, and quasi-static incremental analyses including nonlinear material and geometry. The FE models are found to be accurate to approximately 11%, with 95% confidence, regardless of the model generator and solver that is used. Collapse pressure predictions for identical FE models obtained using each of the three solvers agree within 2.8%, indicating that the choice of FE solver does not significantly affect the predicted collapse pressure. The FE predictions are found to be more accurate for corroded than for undamaged models, and neglecting the shell eccentricity that arises due to one-sided shell thinning is found to significantly decrease the resulting accuracy of the FE model.     

纵环加筋圆柱薄壳的塑性屈曲试验与分析

本文进行了纵环加筋圆柱薄壳在均布外压作用下的屈曲试验和分析研究。采用塑性形变理论和Misos屈服准则，在能量原理基础上导出了壳体简明的屈曲分析公式。给出了四个铝合金模型的屈曲破坏试验结果，描述了模型的破坏特征和破坏过程。试验及数值分析结果表明，在一定参数范围内，壳体将发生总体塑性屈曲破坏，且破坏表现为一个过程，局部屈曲将影响到总体屈曲临界压力。本文提供的总体屈曲简明分析方法具有较好的精度，可供初步设计时使用。     

基于试验获取主应力应变曲线的油船极限强度评估研究(英文)

A geometrically similar scaling was made from small-scale specimen to full-scale stiffened panels and then their collapse behaviour is investigated. It is considered that the stiffened panel compressive ultimate strength test was designed according to geometrical scaling laws so that the output of the test could be used as representative of the stiffened panels of the compressive zone of a tanker hull subjected to vertical bending moment. The ultimate strength of a tanker hull is analysed by a FE analysis using the experimentally developed master stress-strain curves which are obtained by the beam tension test and the compressive test of the stiffened panel, and are then compared with the result achieved by the progressive collapse method.     

Ultimate strength assessment of a tanker hull based on experimentally developed master curves

A geometrically similar scaling was made from small-scale specimen to full-scale stiffened panels and then their collapse behaviour is investigated. It is considered that the stiffened panel compressive ultimate strength test was designed according to geometrical scaling laws so that the output of the test could be used as representative of the stiffened panels of the compressive zone of a tanker hull subjected to vertical bending moment. The ultimate strength of a tanker hull is analysed by a FE analysis using the experimentally developed master stress-strain curves which are obtained by the beam tension test and the compressive test of the stiffened panel, and are then compared with the result achieved by the progressive collapse method.     

Predicting the collapse of externally pressurised ring-stiffened cylinders using finite element analysis

This paper describes the application of finite element (FE) analysis to the prediction of the non-linear elasto-plastic collapse of ring-stiffened cylinders under hydrostatic loading. A range of legacy experimental test models have been analysed using FE idealisations generated using measured as-built shape data including out-of-circularity (OOC), frame alignment and tilt and other scantlings. The FE models also explicitly included the residual stresses caused by cold bending. Short and long ring-stiffened cylinders, which were designed to isolate interframe and overall collapse modes, respectively, were considered as were some intermediate length cylinders where the possibility of interactive collapse was also present. In general, the collapse pressures were predicted to within 6%. However, for some of the interframe collapse models, it was necessary to use the minimum measured plate thickness to achieve this. This was largely attributable to the limited measured plate thickness data.     

平台支撑的潜艇平面舱壁的极限强度分析

借助国际通用的大型非线性有限元分析软件,对潜艇内部以加强平台取代水平横桁的平面舱壁结构的极限强度进行了非线性的有限元分析.阐述了单元及网格尺度的选择和求解控制策略;求得了结构的应力、应变分布规律;以及探讨了结构极限承载能力、破坏模式、塑性破坏机理.模型试验结果表明,试验值与有限元分析计算值吻合良好.     

极区船舶冰带构件极限载荷评估

弹性设计准则下,极区船舶通常需要过度的结构加强以确保航行安全。若采用极限载荷设计准则,考虑结构的塑性承载能力,利用一部分屈服点之后的强度储备,则能大大减轻结构重量。本文以中国船舶及海洋工程设计研究院（MARIC）研发的某20000吨级PC5级极地多用途运输船为目标船型,基于IACS URI规范关于冰载荷及相应计算工况的要求,进行了非线性有限元分析。基于计算结果,工程计算推荐100mm×100mm的网格尺寸,材料定义推荐使用理想弹塑性材料。通过对比不同极限载荷准则,认为两倍弹性斜率准则相对更适用于船舶构件。研究成果可为极区船舶结构的设计与强度验证提供参考。     

Collapase analysis of ship hulls

This paper presents an efficient finite element procedure for the collapse analysis of ship hulls under complicated loads. A set of finite elements, such as beam-column elements, stiffened plate elements, and shear panel elements are developed, directly accounting for the geometrical and material non-linearities and initial imperfections.

Elastic-plastic stiffness matrices for elements have been derived by combining elastic large displacement analysis theories with a plastic hinge model. The buckling and post-buckling behaviour of plates is included using an effective width concept. The procedure is effective, since few mode-points are necessary and numerical integration for evaluating stiffness matrices is avoided. Fracture mechanics criteria are introduced in order to account for tension tearing rupture and brittle failure of the material.

Practical applications to ultimate longitudinal strength analysis of ship hulls and tanker collision analysis are presented. The procedure can also be used for collapse analysis of offshore and onshore structures.     

基于 PCL 的集装箱船屈服强度校核工具开发

为了保障集装箱船船体结构的安全,在设计阶段常常需要根据规范要求进行直接分析并进行整体和局部强度的校核。由于船舶运行的载荷和必须考虑的工况复杂,同时各种工况下船体结构不同部位和不同构件的校核许用水平不一,无法直接借助通用软件的后处理功能直观判断构件是否满足要求。本文基于 PCL 语言,针对中国船级社集装箱船屈服强度校核要求,经过二次开发实现了许用应力以及衡准值的自动计算,并通过云图、三色图以及报告直观输出校核结果,该工具有助于对设计结果的快速反馈。     

New simplified approach to collapse analysis of stiffened plates

A new simplified model for collapse analysis of stiffened plates is developed in the framework of the idealized structural unit method (ISUM). By idealizing material and geometrical nonlinearities, larger structural units are defined as an element in ISUM than in conventional finite element analysis (FEA). The proposed stiffened plate model consists of ISUM plate elements and beam-column elements. The formulation of the plate element is performed by introducing accurate shape functions to simulate the buckling/plastic collapse behaviour of plate panels. Combining plate and beam-column elements allows for both local buckling of the plate panel and overall buckling of the stiffener.Fundamental collapse modes of plate panels and stiffened plates are investigated by conventional FEA. According to the observed characteristics, the new simplified model is formulated. Comparisons with FEA demonstrate the accuracy of the simplified model and its high applicability to typical stiffened plates in marine structures.     

Automatic FE modeler using stiffener-based mesh generation algorithm for ship structural analysis

Shipbuilding industries have started to employ 3D CAD systems to integrate all design and production processes by achieving seamless data transfer and data sharing. The emerging 3D CAD system brings a considerable change in FE analysis field. The availability of 3D geometry increased the recognition of the need for developing automatic FE modeling system consequently.

However, general automatic mesh algorithms developed by academic research field have a limitation. The difficulty in satisfying lots of line constraints and the absence of proper idealization of 3D geometry entities defined in CAD system hinders directly employing the general mesh algorithms.

In this research, an automatic FE modeling system has been developed for cargo hold FE modeling and whole ship FE modeling. The basic concept of the algorithm is to decompose surfaces using stiffener lines into subregions and generate mesh using a rule established based on FE modeling practice of ship structure. Since the decomposed subregions take simple polygon, they can be easily transformed into elements by decomposing the polygon according to the rule defined considering the shape of the polygon and mesh seed on its perimeter. The algorithm is also designed to treat appropriate geometry idealizations for bracket-type surface and stiffener connections. The idealization process is also completely customized based on FE modeling practice. The validity of the developed system is verified through illustrative examples.     

万箱级超大型集装箱船结构设计

以708研究所开发的万箱级超大型集装箱船为依托平台,简要介绍了超大型集装箱船的结构关键技术设计,如典型中剖面的设计和优化、波浪载荷预报、全船有限元扭转强度分析、振动和噪声分析等,希冀为超大型集装箱船的实船设计提供参考。     

水火弯板残余变形预报的数值和量纲分析(英文)

Line heating process is a very complex phenomenon as a variety of factors affects the amount of residual deformations. Numerical thermal and mechanical analysis of line heating for prediction of residual deformation is time consuming. In the present work dimensional analysis has been presented to obtain a new relationship between input parameters and resulting residual deformations during line heating process. The temperature distribution and residual deformations for 6 mm, 8 mm, 10 mm and 12 mm thick steel plates were numerically estimated and compared with experimental and published results. Extensive data generated through a validated FE model were used to find co-relationship between the input parameters and the resulting residual deformation by multiple regression analysis. The results obtained from the deformation equations developed in this work compared well with those of the FE analysis with a drop in the computation time in the order of 100 (computational time required for FE analysis is around 7 200 second to 9 000 seconds and where the time required for getting the residual deformation by developed equations is only 60 to 90 seconds).     

Comparisons of calculations with experiments on the ultimate strength of wide stiffened panels

Five specimens of wide stiffened panel with four stiffeners under axial compression until collapse are studied with a nonlinear finite element analysis and Common Structural Rules to compare with the experimental results. The stiffened panel models have two longitudinal bays to produce reasonable boundary condition at the end of edges. Tension tests have been conducted to obtain the material properties of the steel that are used in the finite element analysis. Three boundary condition configurations are adopted to investigate their influence on the collapse behaviour of the stiffened panels. A displacement transducer was used to measure the initial geometrical imperfections of the stiffened plates. The collapse behaviour of the stiffened panels is analysed in finite element analysis with the measured initial imperfections and with nominal imperfections. An equivalent initial imperfection is validated for the ultimate strength of stiffened panel under compressive load until collapse for the panels under consideration. With the same imperfection amplitude, the shape of the column-type initial deflection of stiffeners affects significantly the collapse shape, but only slightly the ultimate strength and the mode of collapse of the stiffened panels. The 1/2 + 1 + 1/2 bays model with restrained boundary condition BC3 gives an adequate FE modelling and is possible to be fabricated in experiment.     

Propagating buckles in corroded pipelines

Rigid–plastic solutions for the steady-state, quasi-static buckle propagation pressure in corroded pipelines are derived and compared to finite element predictions (ABAQUS). The corroded pipeline is modeled as an infinitely long, cylindrical shell with a section of reduced thickness that is used to describe the corrosion. A five plastic hinge mechanism is used to describe plastic collapse of the corroded pipeline. Closed-form expressions are given for the buckle propagation pressure as a function of the amount of corrosion in an X77 steel pipeline. Buckles that propagate down the pipeline are caused by either global or snap-through buckling, depending on the amount of corrosion. Global buckling occurs when the angular extent of the corrosion is greater than 90°. When the angular extent is less than 90° and the corrosion is severe, snap-through buckling takes place. The buckle propagation pressure and the corresponding collapse modes also compare well to finite element predictions.     

适应共同结构规范的30．8万t VLCC船型开发

708研究所以“经济、安全、环保”（ESE）为宗旨，开发了适应双壳油船共同结构规范（CSR）的30．8万t VLCC船型。文中介绍了CSR对结构设计的关键要求以及对总体设计的部分要求，并着重对VLCC总强度储备、中剖面设计和粗网格有限元分析等关键技术进行了分析，以期初步阐明CSR对VLCC结构设计的影响。