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。     

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.     

壁厚所致几何不连续性对卷管法安装管道的影响

对于深水管道,止屈器起到了很好的防止屈曲传播的作用,但是在卷管法安装中,管道在上卷和退卷的过程中将产生塑性变形,而由于止屈器导致的管道壁厚几何不连续性将使局部管段的变形增大,可能加剧塑性变形的影响。针对这个问题,建立ABAQUS非线性有限元模型模拟管道安装过程,研究上述问题对卷管铺管中管道性能的影响并作参数敏感性分析。结果表明,壁厚所致几何不连续性的存在导致卷管安装时管道局部曲率及应变明显增大;回拉力、管径与卷筒直径之比及管道壁厚等参数也将产生影响。另外,增加回拉力可降低上述不连续性的影响,但管道残余椭圆度也将增加;增大卷筒半径（或减小管道直径）将使不连续性的影响降低;增大管道壁厚可降低不连续性影响,但随之建造成本也将增加。本文研究结论可为卷管法安装中管道设计提供理论指导。     

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.     

Analytical study on controlled lateral thermal buckling of antisymmetric mode for subsea pipelines triggered by sleepers

Subsea pipelines exposed to high temperature and high pressure (HTHP) conditions is susceptible to lateral buckling. In order to control lateral buckling, engineered buckle initiators, such as sleepers, are introduced to initiate planned lateral buckles along the pipeline at specific locations in order to ensure that the stress in each lateral buckle remains acceptable. In this study, taking the interaction of adjacent buckles into account, analytical solutions of antisymmetric lateral buckling mode triggered by sleepers are derived. With the proposed formulations, the method to obtain the accurate locations of lateral displacement amplitude and maxima of bending stress is presented and discussed. And a detailed comparison between symmetric and antisymmetric mode of lateral buckling triggered by single sleeper is presented. Moreover, the influence of the sleeper spacing on controlled lateral buckling behaviour with the consideration of axial interaction between adjacent buckles is conducted. Finally, a detailed analysis about the influence of the sleeper height, lateral frictional coefficient and submerged weight of the pipeline on the controlled post-buckling behaviour is presented. Our results show that, for smaller sleeper friction or smaller sleeper height, the symmetric mode is more likely to happen, while the antisymmetric mode is prone to occur for larger sleeper friction and larger sleeper height. One effective method to reduce displacement amplitude and maximum stress is to decrease the sleeper spacing. The minimum critical temperature difference decreases with increasing sleeper height and increases with increasing lateral friction coefficient or submerged weight of the pipeline. And an alternative way to reduce the maximum stress is to reduce the lateral friction coefficient or submerged weight of the pipeline even though the displacement amplitude increases.     

Antisymmetric thermal buckling triggered by dual distributed buoyancy sections

Rogue buckles may occur for unburied subsea pipelines operating under high temperature and high pressure conditions. Distributed buoyancy section (DBS) is often installed to trigger pipeline lateral buckling. Single distributed buoyancy section (SDBS) is normally adopted to trigger a symmetric lateral buckling mode. But in some cases, dual distributed buoyancy sections (DDBS) with a gap between them are utilised to trigger an antisymmetric lateral buckling mode. This paper concerns the behaviour of antisymmetric lateral buckling triggered by DDBS. First, the locations of the maxima of the deflection and bending stress are determined. Then, comparisons of the post-buckling behaviour between antisymmetric buckling mode, triggered by DDBS, and symmetric buckling mode, triggered by SDBS, are presented and discussed. The influences of the spacing between dual buoyancy sections and the parameters of the DBS on the buckled configuration and post-buckling behaviour are presented. Finally, the effects of the DBS on the minimum critical temperature difference, the maxima of the deflection and stress are discussed. The results show that the maxima of the deflection and stress of the antisymmetric mode are much smaller than that of the symmetric mode under the same operating conditions. During the design process, the spacing between dual buoyancy sections, the length and the weight ratio coefficient of the DBS should be determined in sequence.     

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.     

Dynamics of ships running aground

A comprehensive dynamic model is presented for analysis of the transient loads and responses of the hull girder of ships running aground on relatively plane sand, gravel, or rock sea bottoms. Depending on the seabed soil characteristics and the geometry of the ship bow, the bow will plow into the seabed to some extent. The soil forces are determined by a mathematical model based on a theory for frictional soils in rupture and dynamic equilibrium of the fluid phase in the saturated soil. The hydrodynamic pressure forces acting on the decelerated ship hull are determined by taking into account the effect of shallow water. Hydrodynamic memory effects on the transient hull motions are modeled by application of an impulse response technique. The ship hull is modeled as an elastic beam to determine the structural response in the form of flexural and longitudinal stress waves caused by the transient ground reaction and hydrodynamic forces. A number of numerical analysis results are presented for a VLCC running aground. The results include bow trajectory in the seabed, time variation of the grounding force, and the maximum values of the sectional shear forces and bending moments in the hull girder.     

Numerical prediction and mitigation of out-of-plane welding distortion in ship panel structure by elastic FE analysis

As an application to predict and mitigate the out-of-plane welding distortion by elastic FE analysis based on the inherent deformation theory, a panel structure of a pure car carrier ship is considered. The inherent deformations of different types of welded joints included in this ship panel structure are evaluated beforehand using thermal elastic plastic FE analysis. Applying idealized boundary condition to focus on the local deformation, elastic FE analysis shows that the considered ship panel structure will buckle near the edge and only bending distortion is dominant in the internal region. In order to mitigate out-of-plane welding distortion such as buckling and bending, straightening using line heating is employed. In the internal region, only inherent bending with the same magnitude as welding induced inherent bending is applied on the opposite side of welded joints (fast moving torch). On the other hand, only in-plane inherent strain produced by line heating is introduced to the edge region to correct buckling distortion (slow moving torch). The magnitude of out-of-plane welding distortion in this ship panel structure can be minimized to an accepted level.     

A model for the biaxial dynamic bending of unbonded flexible pipes

An analytical model is given to investigate the behavior of unbonded flexible pipes under biaxial dynamic bending. The stick-slip conditions of each wire are studied in the framework of incremental analysis by an operator splitting of the time step into a stick-state prediction and a slip-state correction step. The tension gradient is calculated using the classical return-mapping algorithm and the obtained tension gradients are integrated numerically to find the axial tension by imposing appropriate boundary conditions. From the axial tension the bending moments with respect to the principal bending axes of the pipe are obtained. Poisson's effect, bending induced tension in the wire, shear deformations of the supporting plastic layer and the changes of the effective torsion and curvature increments of the wire after slip occurs are taken into account in the model. The results of bending moment–curvature relationship from this model are compared with the test data from simple bending and good correlations are found. The comparison of the biaxial bending moment results between this model and the available model also shows good agreement.     

Lateral buckling of subsea pipelines triggered by combined sleeper and distributed buoyancy section

In order to release the axial compressive force resulting from high-temperature conditions, sleepers or distributed buoyancy sections are usually installed along the route of the subsea pipeline as the buckle initiation facilities to trigger lateral buckles. DNV-RP-F110 suggests that the individual buckle initiators can be combined to further increase the reliability of buckle formation. In this study, an improved buckle initiation technique, called the combined sleeper and distributed buoyancy section, is investigated. A generalised mathematical model is proposed to simulate lateral buckling triggered by the combined sleeper and distributed buoyancy section, and it can also be applied to simulate lateral buckling triggered by an individual technique, such as triggered only by sleeper or only by distributed buoyancy section. The mathematical model is verified by comparing with the solutions in the literature. The parametric analysis shows that the buckle formation reliability can be improved when the combined sleeper and distributed buoyancy section is employed. Moreover, both the axial force and the maximum stress along the buckled pipeline in the post-buckling stage are at a lower level, so the pipeline will be safer when the combined sleeper and distributed buoyancy section is utilised as the triggers.     

CPOE-62自升式作业平台整船强度入级计算

按照CCS移动平台规范进行多个工况下的CPOE-62自升平台整船有限元强度屈服和屈曲计算。就风、浪、流环境载荷计算，桩腿与围阱区接触耦合的接触力传递模拟方法，平台整体侧向位移引起的二次力的P-△效应进行了讨论。建立了拖航工况下桩腿弯矩的计算简图，推导出桩腿弯矩计算公式后进行桩腿强度校核。     

挡土墙被动土压力分布与被动侧压力系数

采用库仑土压力理论假设:挡土墙被动土压力是由墙后填土在被动极限平衡状态下出现的滑动楔体产生,在该滑动楔体上沿竖向取水平薄层作为微分单元体,通过作用在单元体上的水平力、竖向力和力矩平衡条件,建立挡土墙被动土压力强度的一阶微分方程,给出了被动侧压力系数、被动土压力强度、被动土压力合力和被动土压力合力作用点的理论公式,并分析了被动极限平衡状态下填土内摩擦角和墙背摩擦角对被动侧压力系数、被动土压力强度、被动土压力合力、被动土压力合力作用点和抗倾稳定性的影响。结果表明,随着填土同墙背间摩擦角增大,被动侧压力系数K值和被动土压力合力作用点高度减小,水平被动土压力合力增大,水平被动土压力合力对墙底的合力矩保持不变。     

Cyclic plastic deformation of overbend pipe during deepwater S-lay operation

In deepwater S-lay operations, the combined influences of stinger curvature, axial tension and roller support force can induce very large plastic deformation in the pipe. Dynamic loads from vessel motion and pipe sliding down the stinger lead the cyclic plastic deformation. This paper investigates the cyclic plastic stress history of the overbend pipe subjected to the dynamic pipelaying loading. The dynamic roller support forces are obtained through an innovative large scale hybrid substructure experiment constructed to simulate the pipe-stinger impact behavior. The measured roller forces are used to verify a 3D finite element analysis results developed with ABAQUS/Standard to observe the dynamic pipe stress history. The results confirm that the roller support can induce stress concentration in the pipe and the combined dynamic pipelaying loadings can cause extensive cyclic plastic deformation.     

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.     

深海钛合金压力容器在静水压力作用下的弹塑性分析

利用MSC.Marc Mentat 2005通用有限元软件对深海探测用压力容器受静水压力作用时的弹塑性失稳问题进行了计算与分析,弹性失稳数值计算的结果与用现有规范计算公式所得结果一致,均大于塑性失稳数值分析时的临界载荷。由此得出结论,对于厚壁且形状复杂的压力容器的失稳计算,用理论公式或仅用厚壳单元的弹性失稳分析是不够的,应该用3维立体单元的弹塑性失稳计算才能给出比较精确的强度预测。MSC.Marc Mentat2005强大的计算和仿真功能有效地模拟了深海精密探测容器受静水压力作用时的弹塑性失稳问题,为深海精密探测容器在材料、外观等方面做进一步的设计改进提供了可靠的工具。     

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。     

巨型钢框架--拉索支撑体系在水平荷载作用下的破坏性能

为了解巨型钢框架-拉索支撑体系在水平荷载作用下的破坏性能,采用倒三角和均匀分布两种水平加载模式对经抗风抗震优化后的巨型钢框架-拉索支撑结构进行Pushover分析,研究在不同水平加载模式下的出铰顺序,并考察其抗侧刚度及拉索受力特征。研究表明,在倒三角和均匀分布两种加载模式下,结构的出铰顺序基本一致,构件破坏先后顺序为巨型柱肢间支撑、巨型梁腹杆、楼层梁、柱肢。均布加载得到的抗侧刚度大于倒三角分布;拉索退出工作的时间越早,则同一层中另一侧索拉力增加得越快。     

Numerical investigation on the ultimate strength of stiffened cylindrical shells considering residual stresses and shakedown

In this paper, the effects of residual stresses on the ultimate strength of stiffened cylinders are numerically investigated with an emphasis on shakedown which might occur during the service of these structures. Residual stresses caused by two types of actions, namely, cold bending and welding, are simulated with simplified approaches in numerical analysis. Cold bending stresses are simulated by simulating cold rolling and elastic springback until the desired curvature for cylindrical shell is obtained. Welding is simulated by applying cooling down to a certain temperature on the elements adjacent to stiffener-shell joints to obtain weld-shrinkage with realistic magnitudes. Six small-scale externally pressurized ring-stiffened cylinder models are utilized to evaluate the appropriateness of the method for inclusion of welding residual stresses in numerical analysis by comparing the experimental and numerical results. Ultimate strength analyses are then performed for a reference ring-stiffened cylinder model under radial pressure and stringer-stiffened cylinder under axial loading. To assess the effect of shakedown, after applying cyclic compressive loading to the ring-stiffened cylinder model, the level of stress relief and the change in the ultimate strength are evaluated.