A finite element model for flexible pipe armor wire instability

The constructive disposition of metallic and plastic layers confers flexible pipes with high and low axial stiffness respectively when tensile and compressive loads are applied. Under certain conditions typically found during deepwater installation or operation, flexible pipes may be subjected to high axial compression, sometimes accompanied by bending. If not properly designed, the structure may not be able to withstand this loading and fails. From practical experience observed offshore and in laboratory tests two principal mechanisms, which will be discussed in this paper, have been identified regarding the configuration of the armor wires. When the pipe fails by compression the armor wires may exhibit localized lateral or radial deflections, consequently permanent damage is observed in the armor wires with a sudden reduction of the structure’s axial stiffness. The pressure armor may also unlock, thus causing potential fluid leakage.In this work a finite element model is developed to estimate the critical instability load and failure modes. An axi-symmetric model is constructed employing a complex combination of beam and spring elements. For each armor layer only one wire needs to be modeled, hence the computational cost is minimized without compromising the phenomenon characterization. A parametric case study is performed for a typical flexible pipe structure, where the friction coefficient between the wire armors and the external pressure are varied, and the critical instability loads and failure modes are obtained and results are discussed.     

Post-buckling behaviour and strength of multi-stiffened aluminium panels under combined axial compression and lateral pressure

This paper presents the results of complementary numerical study done in the continuation of the activities carried out by the Committee III.1 “Ultimate Strength” of ISSC'2003 (Ref. [28] ).The main focus of the paper concerns the post-buckling behaviour and strength characteristics of the aluminium multi-stiffened panels under combined axial compression and lateral pressure.The finite element model proposed by the Committee III.1 “Ultimate Strength” of ISSC'2003 is used in the present investigation. Material is aluminium alloy AA6082-T6 and the multi-stiffened panel is a triple-span structure. Stiffeners are of either extruded or non-extruded angle-bar profiles. An initial deflection is imposed on the model in a procedure similar to that applied by the Committee III.1. General purpose finite element code ANSYS is used for non-linear elastic–plastic analyses.Main objectives are to study the influence of initial deflections and also HAZ on the post-buckling behaviour and collapse characteristics of aluminium stiffened panels under combined axial compression and lateral pressure. Different values of lateral pressure are exerted on the model in a systematic manner to simulate various levels of lateral pressure loading on multi-stiffened aluminium panels used in the construction of high-speed crafts.     

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.     

Imperfection study on lateral thermal buckling of subsea pipeline triggered by a distributed buoyancy section

Controlled lateral buckling is triggered by distributed buoyancy section at predesigned sites to release the axial force induced by high temperature and high pressure in subsea pipelines. Due to the larger diameter and smaller submerged weight of distributed buoyancy section, compared to the normal pipe section, imperfections are more easily introduced at the location of distributed buoyancy section. In this study, an analytical model is proposed to simulate lateral buckling triggered by a distributed buoyancy section for an imperfect subsea pipeline, which is validated by test data. Semi-analytical solutions are derived. First, snap-through buckling behaviour is discussed. Then the influence of initial imperfections on buckled configurations, post-buckling behaviour, displacement amplitude and maximum stress is discussed in detail. The results show that there is no snap-through phenomenon for large amplitude of initial imperfections, which appears only when the amplitude of imperfection is small enough. The displacement amplitude increases with the amplitude of initial imperfections, and it first increases and then decreases with wavelength of initial imperfection. Compared to a perfect pipeline, the maximum stress amplifies for relative small wavelength of initial imperfections. Therefore, a large enough wavelength of initial imperfection should be introduced.     

Strength of ship plates under combined loading

Strength of ship plates plays a significant role in the ultimate strength analysis of ship structures. In recent years several authors have proposed simplified analytical methods to calculate the ultimate strength of unstiffened plates. The majority of these investigations deal with plates subjected to longitudinal compression only. For real ship structural plating, the most general loading case is a combination of longitudinal stress, transverse stress, shear stress and lateral pressure. In this paper, the simplified analytical method is generalized to deal with such combined load cases. The obtained results indicate that the simplified analytical method is able to determine the ultimate strength of unstiffened plates with imperfections in the form of welding-induced residual stresses and geometric deflections subjected to combined loads. Comparisons with experimental results show that the procedure has sufficient accuracy for practical applications in design.     

平板在组合载荷作用下的极限强度预报的一种简化解析法

船体平板强度在船舶结构极限强度分析中起到十分重要的作用。最近几年，一些作者提出了计算平板极限强度的一种简化解析方法。但绝大部分的研究只考虑了平板纵向受压这一种简单载荷的情况。在我们成功地解决了三向组合载荷(纵、横压缩和垂向均布压力)的基础上，在本文中，我们又进一步将此方法推广到包含面内剪力在内的所有组合载荷分量均存在的一般情况。通过与一些规范公式的比较表明，本文所推导的公式是可以比较精确地预报平板在一般组合载荷作用下的极限强度。这一工作一方面可以为规范中的一些经验公式提供理论依据，另一方面也许可以提供比经验公式更好的外插能力。为了简化使用本文的方法，本文也在大量参数系列计算的基础上给出了一个回归的经验公式。     

Vibrations of imperfect ship plating

This paper deals with vibration analysis of plates in marine structures. It is the main purpose of the paper to demonstrate that in order to obtain reliable frequency predictions it is necessary to include in the vibration analysis the effects of the unavoidable imperfections caused by welding or lateral fluid pressure. Furthermore, practical procedures for including these effects are presented. Simple algebraic expressions are derived for determination of small amplitude natural frequencies of vibration of initially imperfect rectangular plates subjected to uniaxial in-plane loads. The theoretical results show close agreement with experimental results available in the literature. For plating of marine structures with typical welding induced geometric imperfections and residual stresses it is shown that the lowest natural frequency of the unloaded imperfect plate can be twice as high as that of the perfect plate. For vibration analyses of plates submerged in a liquid the importance of taking into account deflections and membrane stresses caused by the hydrostatic pressure is demonstrated.     

A Simplified Model for the Effect of Weld-Induced Residual Stresses on the Axial Ultimate Strength of Stiffened Plates

The present work investigates the compressive axial ultimate strength of fillet-welded steel-plated ship structures subjected to uniaxial compression, in which the residual stresses in the welded plates are calculated by a thermo-elasto-plastic finite element analysis that is used to fit an idealized model of residual stress distribution. The numerical results of ultimate strength based on the simplified model of residual stress show good agreement with those of various methods including the International Association of Classification Societies (IACS) Common Structural Rules (CSR), leading to the conclusion that the simplified model can be effectively used to represent the distribution of residual stresses in steel-plated structures in a wide range of engineering applications. It is concluded that the widths of the tension zones in the welded plates have a quasi-linear behavior with respect to the plate slenderness. The effect of residual stress on the axial strength of the stiffened plate is analyzed and discussed.     

焊接诱导的残余应力对加劲板轴向极限强度影响的简化模型研究（英文）

The present work investigates the compressive axial ultimate strength of fillet-welded steel-plated ship structures subjected to uniaxial compression, in which the residual stresses in the welded plates are calculated by a thermo-elasto-plastic finite element analysis that is used to fit an idealized model of residual stress distribution. The numerical results of ultimate strength based on the simplified model of residual stress show good agreement with those of various methods including the International Association of Classification Societies(IACS) Common Structural Rules(CSR), leading to the conclusion that the simplified model can be effectively used to represent the distribution of residual stresses in steel-plated structures in a wide range of engineering applications. It is concluded that the widths of the tension zones in the welded plates have a quasi-linear behavior with respect to the plate slenderness. The effect of residual stress on the axial strength of the stiffened plate is analyzed and discussed.     

Ultimate strength of container ships subjected to combined hogging moment and bottom local loads part 1: Nonlinear finite element analysis

This paper is the first of two companion papers concerning the ultimate hull girder strength of container ships subjected to combined hogging moment and bottom local loads. In the midship part of container ships, upward bottom local loads are usually larger than the downward ones. This leads to the increase of biaxial compression in the outer bottom plating and the reduction of the ultimate hull girder strength in the hogging condition. In this Part 1, the collapse behavior and ultimate strength of container ships under combined hogging moment and bottom local loads are analyzed using nonlinear finite element method. Buckling collapse behavior of bottom stiffened panels during the progressive collapse of a hull girder is closely investigated. It has been found that major factors of the reduction of ultimate hogging strength due to bottom local loads are (1) the increase of the longitudinal compression in the outer bottom and (2) the reduction of the effectiveness of the inner bottom, which is on the tension side of local bending of the double bottom. The obtained results will be utilized in the Part 2 paper to develop a simplified method of progressive collapse analysis of container ships under combined hogging moment and bottom local loads.     

Finite element study on circular armour wire lateral buckling in umbilicals

The present paper addresses the circular armour wire lateral buckling in umbilicals. An asymmetric non-linear finite element model is developed to analyze a single armour wire subjected to combined constant axial compression and uniform cyclic curvatures. A parametric case study is performed for an armour wire from a nine-hose umbilical cable, where the armour wire pitch number, applied axial compressive load and minimum and maximum curvatures in the applied cyclic bending are varied. The armour wire end shortenings, transverse sliding in cyclic bending, the buckling shapes and equilibrium paths after numerous bending cycles, the critical buckling loads, the stress states at the onset of lateral buckling, and the required number of bending cycles that triggers lateral buckling are obtained and extensively discussed. The critical buckling loads given by the FE model have been compared with an existing analytical formulation, indicating that the analytical model is reliable for small cyclic curvatures. Moreover, an empirical model is proposed for the required number of bending cycles to trigger the lateral buckling and good correlation with the FE results has been observed.     

特种筒形桅杆风压试验

锥形筒形桅杆是一种新型桅杆 ,由于其结构的特点 ,风载可能对它产生较大的威胁。通过四面锥状筒型桅杆的风洞试验 ,研究了桅杆模型在不同风向下 ,在雷诺数 1 .7× 1 0 5 Re 7.8× 1 0 5的范围中 ,其周向与轴向的表面压力分布 ,给出了桅杆模型表面压力系数沿周向与轴向的变化规律 ,并作了分析 ,阐明了其与风向、雷诺数之间的关系。通过桅杆模型表面压力的周向积分 ,得到了模型的升力与阻力 ,导出升力系数与阻力系数 ,并分析了二者随雷诺数及风向的变化规律。试验分析结果表明 :压力系数沿轴向的分布不均匀 ,靠近桅杆模型的中间部位 ,压力系数较大 ;在桅杆模型的两端 ,压力系数较小。压力系数沿周向的分布与风向有关 ,在迎风面上 ,压力系数最大 ,在背风面上 ,压力系数最小。升力系数与阻力系数也与风向密切相关 ,并且随着风向的变化 ,有较大的变化。在筒型桅杆设计中 ,应充分考虑到风向变化所引起的风载变化。     

静水压力下变厚度圆柱(锥)壳结构强度分析

文章将变厚度圆柱(锥)壳简化为轴对称的二节点单元,根据平衡方法推导了该结构的单元刚度阵与载荷阵,建立了求解静水压力下变厚度圆柱(锥)壳结构强度的解析单元法(AEM)。利用该方法对一个简单的变厚度锥柱接合壳算例进行了计算并与有限元方法的计算结果进行了比较。研究表明,文中提出的AEM法可以对静水压力下变厚度锥壳结构强度进行准确分析。该方法可以推广到各种轴对称压力作用下的变厚度圆柱(锥)壳结构强度分析。     

潜艇薄壁大半径圆柱壳的总稳定性

本文指出了用仅受轴向压力的无肋光壳来预报各向均匀受压的异常环肋圆柱壳的总稳定性具有足够的精度，在薄壁大半径环肋圆柱总稳定模型试验中首次观察到了纵向失稳半波数m＝5，在纵横加肋圆柱壳总稳定模型试验中证明了在异常环肋圆柱壳上增设纵骨对提高总稳定性有巨大作用。此外，还指出了本文所推荐的纵横加肋圆柱壳总稳定理论临界压力公式是各种有关公式中最合适的计算公式．     

含缺陷海底管道横向屈曲理论研究

考虑了初始几何缺陷对管道屈曲临界载荷的影响,基于经典热屈曲理论,推导了平坦海床上裸铺管道横向屈曲临界载荷的理论公式,给出了无限远处管道轴向力的计算公式及临界温度的计算公式。建立了平坦海床上裸铺管道的非线性有限元模型,并将有限元结果与解析结果进行了对比,验证了解析公式的合理性。     

A study on scantling formulae of plate members due to lateral pressure under the effect of axial loads

Existing rule scantling formulae of plate members are based on conventional plastic design theory, and do not necessarily reflect complicated plate bending phenomena under axial loads. In this study, we first formulated the effect of axial load on the fully plastic moment based on the von Mises yield criterion for longitudinally stiffened plate in addition to the well-known formula for transversely stiffened plate. In addition, we derived a theoretical formulation of the lateral pressure corresponding to 2-point hinge and 3-point hinge formation taking account of the effect of the additional lateral force due to the axial loads on the deflected plating, using a simple plate strip bending model assuming a long plate with a large aspect ratio.Then, a series of elastic-plastic FE analyses was carried out to verify the structural behavior and the effect of axial load on the plate plastic bending strength. The plate strength was evaluated based on the residual deflection criteria of two cases (0.26 mm and 4.0 mm), and the results were compared with the theoretical derivation. As a result, it was found that assumption of linear strength reduction to the axial stress can cover the transversely stiffened plate under compressive axial stress conservatively. As to the transversely stiffened plate under tensile axial stress and the longitudinally stiffened plate, the strength reduction was in accordance with the reduction in the fully plastic moment based on the von Mises yield criterion in the conservative side. Finally, based on the findings, the required plate thickness coefficients were proposed on an empirical basis both for transversely and longitudinally stiffened plate under compressive and tensile axial loads.     

轴压复合材料蛋形壳屈曲特性

在对模态缺陷条件下轴压复合材料柱形壳进行屈曲分析的基础上,结合仿生学原理对柱形壳进行形状优化,运用等质量、等容积两种方法,设计与柱形壳开口直径相同的蛋形壳,研究其多模态屈曲特性。结果表明:相对复合材料柱形壳,蛋形壳具有更好的轴向承载能力与更低的缺陷敏感度。从工程实例出发,以单立柱固定式海洋平台的柱形壳桩腿为背景,采用分段式模块化设计的方法,在5%多模态缺陷条件下,研究一般钢结构柱形壳桩腿、碳纤维复合材料柱形壳桩腿、碳纤维复合材料多蛋交接形桩腿的轴压屈曲特性。结果表明:在相同的承载能力下,复合材料多蛋交接形桩腿具有更小的质量、更低的缺陷敏感度与更好的稳定性。     

Pressure effects on the static response of offshore tubular connections

The paper focuses on the influence of external hydrostatic pressure on the ultimate capacity of uniplanar X and T welded tubular connections under axial and bending loads. Nonlinear finite element tools, calibrated through available experimental data, are employed to simulate the tubular joints. The numerical results are presented in the form of load-displacement (or moment-rotation) equilibrium paths for different pressure levels, as well as in the form of pressure-load interaction diagrams. It is shown that external pressure causes structural instability, and has significant effects on both the ultimate load and the deformation capacity of the joint. The effects of external pressure on an X joint under balanced axial load are demonstrated and explained qualitatively using a simplified elastic–plastic mechanical model, which describes joint behavior through closed-form expressions.     

Collapse of composite-repaired cylinders with internal metal loss subjected to external hydrostatic pressure

The present study investigates the collapse performance of composite-repaired cylinders with internal metal loss subjected to external pressure. Three groups of intact, thinned, and repaired cylinders were designed, analytically verified, fabricated, geometrically measured, externally tested, and numerically modeled. Each group had three nominally identical cylinders to ensure the repeatability of experiments. The cylinders had the same end closure, effective length, total length, external radius, and intact thickness for an equivalent comparison. The thinned cylinder was considered as the intact cylinder with internal metal loss, whereas the repaired cylinder was considered as the thinned cylinder with composite reinforcement. The results indicated that the external loading capacity of cylinders with internal metal loss could be fully restored and even enhanced by composite reinforcement. Composite-repaired cylinders are much less sensitive to initial geometrical imperfections than intact cylinders.     

考虑桩-土作用的PHC管桩极限变形及其影响因素分析

单调荷载作用下PHC管桩的极限变形是判断结构损伤的一项重要参数。为了解桩、土参数对PHC管桩在单调荷载作用下变形的影响,采用ABAQUS有限元软件的纤维梁单元模型和共结点法,建立考虑桩土相互作用的PHC管桩有限元模型,使用P-y土弹簧模拟桩土相互作用,混凝土采用UCONCRETE03本构模型,预应力纵筋采用USTEEL02本构模型,分析配筋率、桩基入土深度、土体不排水抗剪强度、轴压比等参数对PHC管桩极限变形的影响规律。计算结果表明:桩基极限位移随桩基配筋率的提高而增加,但随桩基入土深度、土体不排水抗剪强度、轴压比的增加而减少,并拟合单调荷载作用下的PHC桩基极限位移的计算公式。