Flexible riser-bend stiffener top connection analytical model with I-tube

The flexible riser top connection to the floating unit is a critical region considering extreme loading and fatigue lifetime assessment and is generally protected by a bend stiffener to limit the curvature in this region. The top connection usually interface the floating unit with two main configurations: i) end-fitting and bend stiffener directly connected to a riser balcony or ii) riser connected to the floating unit in the end of an I-tube, which reduces the end-fitting bending loading, and bend stiffener assembled to a bellmouth with a given inclination in relation to the I-tube longitudinal axis. The traditional modeling approach considers the riser/bend stiffener system attached to the floating unit, representative of the first configuration. A more realistic modeling approach, capturing the complex interactions of flexible riser/bend stiffener with I-tube interface can be employed for preliminary assessment with less conservatism. In this work, a large deflection analytical beam model is developed for the riser top connection with I-tube considering the bellmouth transition region with a straight rigid surface followed by a curved section. The riser follows a nonlinear bending behavior described by a bilinear moment vs curvature function and the bend stiffener polyurethane material exhibits nonlinear elastic symmetric response represented by a power law function. It is assumed that there is no gap between the riser and the bend stiffener and the riser is fixed in the end-fitting position. The mathematical formulation of the statically indeterminate system results in three systems of coupled differential equations combined with the corresponding multipoint boundary conditions to be numerically solved by an iterative procedure. A case study is carried out with a 7” flexible riser protected by a bend stiffener connected to an inclined I-tube bellmouth. The system is subjected to extreme loading conditions and the influence of the sleeve shape and I-tube length on the riser curvature distribution, including the end-fitting position, and contact forces between the riser/sleeve and riser/bend stiffener sections are assessed.     

无粘结柔性管抗拉伸层结构分析

柔性管抗拉伸层是复杂的空间螺旋线结构,其结构响应分析对柔性管疲劳分析、强度分析和屈曲分析有重要作用。文章基于曲梁理论,应用斜驶螺旋线假设和测地线假设两种空间曲线公式,以空间细长杆理论及胡克定律本构方程为基础,采用格林应变张量与第二Kirchoff应力张量度量,对深海无粘结柔性管抗拉伸层螺旋形钢缆结构平衡方程进行了推导,编写了分析程序。利用该程序,分析了抗拉伸层钢缆在轴对称载荷下和弯矩作用下的曲率变化和结构响应;同时利用三维直梁有限元模型与曲梁有限元模型建立数值模型,将程序结果与数值模拟模型结果进行了对比,证明了结果可行性。该结果可为柔性管抗拉伸层结构设计提供快速的预估计方法。     

阻尼处理多向加筋板的振动响应及声辐射

针对三种加强筋且横向加强筋为大小两种不同结构的典型加筋船板,考虑船板的弯曲振动,并计及船板内侧敷设粘弹性阻尼材料的阻尼处理和船板外侧重流体作用力,借助无限大板理论和经典波动法,建立了解析数学模型,导出了加筋船板在宽频单位力作用下的振动响应和远场水声辐射计算方法.通过典型实例的数值计算,讨论了小筋、阻尼等主要设计参数对辐射效果的影响.本文的研究成果对水声学工程设计有一定的指导价值.     

Bend stiffener linear viscoelastic thermo-mechanical analysis. Part I — Experimental characterization and mathematical formulation

Bend stiffeners are subjected to cyclic loading during offshore operation or when subjected to a controlled full-scale qualification test. Due to the viscoelastic nature of the polyurethane, energy is dissipated within the material volume and the structure may experience a temperature increase, a phenomenon known as self-heating. The top connection is a flexible riser critical region in terms of fatigue, being the bend stiffener the main responsible for curvature control. As the curvature distribution is highly affected by the nonlinear time–temperature bend stiffener response, a detailed thermo-mechanical assessment may become relevant for riser lifetime and polyurethane material failure assessment, specially during accelerated full-scale tests. In the present paper (Part I), the polyurethane experimental characterization and steady-state thermo-mechanical mathematical formulation are presented for the bend stiffener self-heating assessment. A steady-state formulation is derived for a temperature dependent linear viscoelastic large deflection beam model to estimate the heat generation during harmonic tip loading. The temperature field distribution is calculated through a three-dimensional steady-state thermal model considering the viscoelastic heat calculated from the mechanical model with an iterative scheme. Stress relaxation tests are performed at different temperatures to determine the viscoelastic properties followed by thermal properties characterization through differential scanning calorimetry and by the Flash method to determine the specific heat, thermal conductivity and diffusivity, respectively. In a companion paper (Part II) the iterative numerical scheme is detailed and a case study presented.     

Fatigue damage in the side shells of ships

More than 40% of the registered fatigue cracks in ship structures are observed to occur in the side shell, more specifically in the connections of longitudinals to transverse web frames. The fatigue damage is caused partly by vertical and horizontal wave-induced hull bending and partly by outside water pressure on the side shell. Due to the non-linear nature of the outside water pressure the fatigue damage of the combined stress cannot be solved via a traditional frequency domain analysis. This paper solves the combination problem by application of a realistic wave model. The proposed model is used to analyze a segregated ballast tanker, and the results are compared to previously registered fatigue cracks. The analysis shows that it is very important to include the water pressure in the fatigue analysis, as this accounts for the majority of the expected fatigue damage. The analysis is performed for both I-shaped and L-shaped stiffeners.     

6750箱集装箱船非线性波激振动和颤振响应分析

本文采用三维时域非线性水弹性方法分析了一艘6750箱集装箱船的水弹性响应以及运动和垂向弯矩特征。通过考虑入射波力、静水恢复力、砰击效应的非线性,研究了在恶劣海况下船体的非线性运动和垂向弯矩响应,同时分析了波激振动及颤振对垂向弯矩的影响。数值计算结果表明:(1)非线性入射波力对运动的影响较小,但是对垂向弯矩的影响较大,使得其有明显的倍频成分,同时中垂弯矩显著大于中拱弯矩。另外,非线性入射波力也引起了明显的非线性波激振动;(2)非线性静水恢复力对运动和载荷的影响均较大,但是没有引起明显的非线性响应。非线性计算的垂荡响应小于线性结果,而纵摇和垂向弯矩响应大于线性结果;(3)砰击效应对运动的影响较小,但对垂向弯矩的影响较大,砰击效应引起了显著的船体弹性高频振动,增大了载荷幅值,但是其引起的合成中垂和中拱幅值相差不大;(4)非线性水动力的作用主要引起垂向弯矩的倍频响应,包括倍频可能引起的二节点垂向弯矩弹性共振,而砰击效应主要引起船体二节点垂向弯矩共振;(5)本文的非线性水弹性响应计算结果与Kim给出的数值计算结果吻合很好。     

芯板可压缩的夹层加筋板固有频率分析

推导了一种考虑芯板垂向压缩变形影响的双向加筋的约束阻尼夹层板有限元单元.其中,夹层板面遵循Mindlin一阶剪切变形理论的假定;芯板采用基于厚板理论的非线性位移模式, 各向位移沿板厚成抛物线分布, 并考虑了芯板的横向压缩变形;加强筋采用Timoshenko梁模型,考虑了其剪切变形的影响.根据层间位移连续和板、梁位移连续假设,将芯板和加强筋的位移用上下面板位移表示,推导了相应的位移应变关系, 继而根据Hamilton原理建立了控制方程.数值计算结果表明约束阻尼夹层加筋板有限元单元的推导是正确的;在约束阻尼夹层加筋板的固有频率研究中,考虑夹层板芯层的垂向压缩变形的影响是必要的.还讨论了芯板和加强筋的各个参数对板固有频率的影响.     

Application of analytical model in the prediction of dynamic responses and fatigue damage of flexible risers: Part I – Improvement of analytical model considering shear deformation and varying tension effects

Flexible risers have been widely utilized for the transfer of oil and gas products from a well to production units. The components of flexible risers, unlike steel risers, experience complex contact phenomena during bending. The contact between helical wires and adjacent layers especially causes a significant level of bending nonlinearity, making it hard to estimate the structural responses. Accordingly, a large-scale dynamic analysis of flexible risers usually involves an analytical model that predicts the bending moment and axial stress of helical wires based on theoretical approaches. The analytical model consists of an axis-symmetrical model and a bending model. Among them, the bending model plays a critical role in the prediction of the bending responses of flexible risers. The conventional bending models usually neglect the shear deformation of internal layers and continuity of sliding force, which leads to a significant error of analysis. Furthermore, the previous bending models assume that the contact pressure on helical wires is constant during bending. In real operating conditions, however, most flexible risers experience a considerable change of tension that governs the slip of helical wires. Hence, the current study presents a new dynamic analysis method for flexible risers. The suggested analytical model improves the bending model based on an accurate estimation of the internal strain field considering the shear deformation and continuous sliding force. Also, this study proposes a stiffness update method to reflect the effect of varying tension in the dynamic analysis. The presented method updates the bending property of flexible risers considering the continuous change of the contact pressure from varying tension. For the validation of suggested method, the current study carries out numerical simulations with a pure bending and varying tension for the internal diameter 7 inches flexible risers. It is identified that the suggested analytical model provides accurate analysis results. Moreover, it is found that the effect of varying tension gives a significant impact on the bending behavior of flexible risers by changing the slip condition of helical wires. Part I of this series of papers describes the detailed formulation method for the analytical model and with some verification examples. The suggested analytical model is expanded to the large-scale dynamic analysis in Part II for the investigation of the effect of shear deformation and varying tension.     

舰船加筋板局部强度评估中的总纵应力折减系数研究

舰船加强筋尺寸的合理确定一直是结构设计中的热点问题。本文综合考虑总纵弯曲应力和局部载荷的相互作用,研究加强筋的许用应力折减系数(C_s)的影响因素与合理取值方法。通过分析加强筋的力学模型、对比不同规范中的C_s取值,以及用非线性有限元软件Abaqus计算一系列加筋板模型,拟合C_s曲线并与规范对比,并验证剖面对称性和局部载荷作用方向对C_s取值的影响方式,丰富了舰船局部强度校核方法的技术背景,为板架设计、舰船三维局部校核程序开发提供借鉴。     

The development of studying flexible pipe bend reinforced by Kevlar fibers

The flexible pipe bend can not only reduce the structural vibration and fluid noise in pipeline, but also realize the flexible connection of a horizontal line and a vertical line and compensate the displacement of three dimensions produced by the shock or vibration of pipeline in the special situations. Up to now, little attention has been paid to study the flexible pipe bend applied in the pipeline of medium or high pressure, because no appropriate framework materials can be used to reinforce it which must endure the burst pressure higher than 10 MPa. The investigation shows that it is possible to produce the flexible pipe bend of medium or high pressure if such fibers with high performance as Kevlar fibers are used to be its reinforced materials. However, its structural designing theory, manufacturing technology and measuring techniques aren‘t yet perfect and systematic, which leads to the instability of the performance of products. Furthermore, few references about its research can be seen. Therefore, it is necessary to systematically and thoroughly develop the structural designing theory, manufacture technology and measuring techniques of flexible pipe bend.     

Effect of pitting corrosion on local strength of hold frames of bulk carriers (2nd Report)—Lateral-distortional buckling and local face buckling

Pitting corrosion is typical corrosion observed on coated hold frames of bulk carriers which exclusively carry coal and iron ore. In order to secure the safety of these types of bulk carriers, it is important to understand the effect of pitting corrosion on local strength of hold frames.

In order to investigate this effect, a series of 4- and 3-point bend tests on structural models which consist of web, shell and face plates has been carried out. Artificial pitting was created on the web plate to simulate pitting. In the 4-point bend tests, two equal concentrated loads have been applied vertically at the one-third points of simply supported models so that compression load due to bending would act on the face plate. In this testing condition, lateral-distortional buckling occurred before reaching the ultimate strength and local buckling of the face plate was observed after reaching the ultimate strength. The effect of web plate pitting on the lateral-distortional buckling strength was found to be small but the ultimate strength decreases with increase in the degree of pitting intensity. In the 3-point bend tests, concentrated load has been applied vertically at the center of simply supported models so that compression load due to bending would act on the face plate. In this testing condition, local face buckling occurred just after reaching the ultimate strength. The ultimate strength is found to be decreasing with increase in the degree of pitting intensity.

A series of non-linear FE analyses has been performed to simulate the deformation behavior observed in the tests. It has been revealed that even in the case of randomly distributed pitting corrosion the ultimate strength of the structural models was almost the same as that of the structural models with uniform corrosion corresponding to the average thickness loss.     

Assessment of IACS-CSR implicit safety levels for buckling strength of stiffened panels for double hull tankers

The present study aims at applying structural reliability methods to assess the implicit safety levels of the buckling strength requirements for longitudinal stiffened panels implemented in the IACS Common Structural Rules (CSR) for double hull oil tankers. The buckling strength requirements considered are used in the initial stage of the hull girder scantlings’ design to control the buckling capacity of longitudinal stiffened panels subjected to the compressive loads induced by the hull girder vertical bending. The following buckling collapse failure modes are explicitly considered in the design formulation: uniaxial buckling of the plating between stiffeners, column buckling of stiffeners with attached plating and lateral-torsional buckling or tripping of stiffeners.The paper presents the procedure used to assess the implicit safety levels of the strength requirements for the three buckling collapse failure modes above mentioned, which includes the optimization of the scantlings of the plate panels and longitudinal stiffeners in order to reflect the minimum strength required by the formulation. A first order reliability formulation is adopted, and stochastic models proposed in the literature are used to quantify the uncertainty in the relevant design variables. A sample of five oil tankers representative of the range of application of the IACS-CSR design rules is considered. The effect of corrosion in the implicit safety levels is quantified based on the three corrosion levels of the Net Thickness Approach (NTA) adopted in the design rules. Sensitivity analyses are also performed to quantify the relative contribution or importance of each design random variable to the implicit safety levels.     

不同扶强材形式的纵骨贯穿舱壁结构疲劳试验

为了研究矩形扶强材和削斜扶强材结构形式的某铝合金船体纵骨贯穿舱壁结构疲劳性能，对此进行了试验研究。首先建立舱段结构的有限元模型（该目标船纵骨采用6082铝合金，其他部分采用5083铝合金材料），确定载荷工况并计算分析两种扶强材结构在相应载荷水平下的应力分布状态。在此基础上，设计并开展了实际板厚四点弯曲疲劳模型试验，获得了试验模型在不同载荷水平下的疲劳失效循环次数，并且根据试验测得数据得到了两种扶强结构形式的S-N曲线。试验结果表明矩形扶强材形式的纵骨贯穿舱壁结构疲劳性能优于削斜扶强材形式，该结论可为舰船上纵骨贯穿舱壁结构处节点形式的设计以及5083与6082铝合金焊接结构形式（T型焊接和趾端焊接）的疲劳强度评估提供依据。     

A simplified analytical method to estimate the resistance of plane lock gates impacted by river barges

This paper presents a simplified analytical method to evaluate the resistance of a single plating lock gate impacted by a river barge. The approach is based on the assumption that the gate behavior may be divided into two successive phases. At the beginning of the collision, local crushing of some structural elements occurs concomitantly with small overall elastic motion of the entire gate. Then, when the penetration of the barge into the gate becomes important, a global plastic mechanism develops over the entire structure. In addition to the membrane and bending deformations occurring classically in such collisions, the particular flat shape of the striking barge bow leads to shear deformations near the gate edges. For all these deformation modes, closed-form expressions of the gate resistance are derived for both local and global deformation phases by applying the upper-bound method. These analytical developments are then validated through comparisons with numerical solutions obtained from non-linear finite-element simulations.     

柔性跨接管安装的三维力学分析

文章对柔性跨接管在三维空间中使用下放缆绳的安装做了相应的力学分析。根据悬链线理论,可以首先获得整个安装系统（缆绳及柔性管）的初始形态（仅受重力作用时）。其最终形态可以根据一迭代过程,使用力的平衡及协调性要求作为收敛准则来得到。通过有限单元离散法,可得柔性跨接管的内力,曲率半径及相应的位移值。为了验证文中提出方法的正确性及可靠性,将此得到的结果与OrcaFlex有限元模型得到的结果进行了对比。同时该文对两端下放缆绳的长度差对柔性跨接管最小曲率半径及最大轴力值的影响也做了一定的研究。该方法能够给实际工程中柔性跨接管的安装提供一定的参考。     

Tests on ultimate strength of hull box girders made of high tensile steel

The experimental results of the collapse of three box girders subjected to pure bending moment are presented. The structures are made of high tensile steel of 690 MPa of nominal yield stress reinforced with bar stiffeners of the same material. The moment curvature curves are presented covering the pre- and post-collapse regions. The modes of collapse for each box girder are discussed considering the variation on the panel's slenderness. The concept of efficiency of high tensile steel structures is introduced. The concept is very useful to identify the governing parameters affecting the ultimate strength of 3D structures under predominant bending moment.     

钢带软管内压和弯曲研究

复合材料管已成为管道发展的热点和趋势。文中对钢带软管在同时受到内压和弯曲组合载荷作用下的力学性能进行了研究。基于建立的钢带软管的环向和径向力学平衡方程,提出了不同弯曲半径下该种类型管道的爆破压力理论计算方法。文中还进行了有限元数值模拟,并与理论计算结果对比分析,分析结果表明文中提出的爆破压力计算方法可作为此类管在同时受到内压及弯曲组合载荷作用下的通用算法,为解决此类工程问题提供重要参考。     

循环弯曲载荷下船体梁的极限纵强度

根据生破坏的强度准则，详细讨论了循环弯曲载荷下船体梁的非弹性变形性能。给出了循环弯曲载荷下船体梁极限强度的简化分析方法。进行了纵筋加强箱形薄壁梁模型的循环弯曲试验。理论计算与试验结果作了比较，两者吻合较好。     

Ultimate torsional strength of flat-bar stiffeners attached to flat plating under axial compression

A parametric study based on numerical analysis using an efficient non-linear finite element method code is presented for the simulation of the interactive flexural-torsional failure behaviour of flat-bar stiffeners in plates under uniform axial compression. The restraining effect of the structural components on one another is investigated by varying the plate and stiffener slenderness. Initial imperfection levels partinent to marine structures have been accounted for. Strength curves for the allowable stress at the top of the stiffener due to elasto-plastic torsional buckling are given for use with approximate design formulas.     

挠性接管对管壁弯曲振动的隔离性能分析

采用分析软件ANSYS就理想情况下袖套式挠性接管在不同的边界条件和布置情况下，对管路中沿管壁传播的弯曲振动的隔离性能分析表明，挠性接管在大部分频段上能有效的隔离弯曲振动，但也有可能使振动放大，这与其边界条件和布置情况密切相关，由此对挠性接管的布置安装提出建议.