轴向载荷下多平面DT型管节点 应力集中系数研究

应力集中系数对于海洋平台结构中管节点的疲劳寿命评估至关重要。文章以多平面DT型管节点为研究对象,采用有限元方法分析了轴向载荷作用下沿其弦管—撑管相贯线焊缝的应力集中系数分布。在保证计算精度的前提下尽量减少网格数量,采用分区网格划分方法进行管节点建模。基于有限元分析结果,研究了不同几何形状参数对应力集中系数分布变化规律的影响,拟合得到一组应力集中系数参数公式,并通过两种相对误差验证了该参数公式的有效性。     

Stress concentration factors of multi-planar tubular KT-joints subjected to in-plane bending moments

Numerical research on the stress concentration factors (SCFs) in uniplanar tubular joints is abundantly reported in literature. However, it has been shown that SCF equations for uniplanar joints can lead to both under- or overestimation of the SCFs in multi-planar joints. In this paper, a parametric finite element study of 81 different three-planar KT joints subjected to five different in-plane bending loading conditions is performed. The effects of different non-dimensional geometrical parameters on the SCF values at the crown locations of the central and outer braces are studied. Based on nonlinear regression analyses of the finite element results, a new set of SCF equations is developed and presented.     

Geometric stress distribution along the weld toe of the outer brace in two-planar tubular DKT-joints: Parametric study and deriving the SCF design equations

Regarding the research efforts expended so far on the calculation of stress concentration factors (SCFs) in tubular joints, two major shortcomings can be noted: (a) significant effort has been devoted to the study of SCFs in various uni-planar connections. Nevertheless, for multi-planar joints which cover the majority of practical applications, very few investigations have been reported due to the complexity and high cost involved; (b) majority of these research works focused on the study of SCFs at certain positions such as the saddle, crown toe, and crown heel, and they have ignored the hot-spot stress (HSS) at other positions along the weld toe. In the present paper, effects of dimensionless geometrical parameters on the SCF distribution along the weld toe of main (outer) braces in the axially loaded right-angle two-planar tubular DKT-joints are investigated. In order to study the multi-planar effect, SCF distribution in two-planar joints is compared with the distribution in a uni-planar joint having the same geometrical properties. A complete set of SCF database is constructed based on the two-planar DKT-joint Finite element models which are verified against experimental results and the predictions of Lloyd’s Register (LR) equations. The FE models cover a wide range of geometrical parameters. Six new SCF parametric formulae are developed through nonlinear regression analyses for the accurate and reliable fatigue design of two-planar DKT-joints under axial loads. An assessment study of these equations is conducted against the experimental data, the original FEM database and the acceptance criteria recommended by the UK Department of Energy.     

SCFs in tubular X-joints retrofitted with FRP under out-of-plane bending moment

This paper presents a parametric study on the stress concentration factors (SCFs) on the chord member in tubular X-connections reinforced with fiber reinforced polymer (FRP) under out-of-plane bending moment. For this aim, a FE model was generated and validated using several available experimental tests. After that, a set of 276 FE models was created to evaluate the effect of the FRP (layer number, orientation, and material) and joint geometry (γ, τ, and β) on the SCFs. In these FE models, the contact between the FRP sheets and the steel members (chord, weld, and braces) was modeled. Results indicated that the rise of the FRP laminate number causes a notable drop of the SCFs, especially in the connections with big γ. Moreover, the increment of the elastic modulus of FRP along the fibers causes a notable decrease of the SCF. Results showed that, for certain geometrical parameters set, the SCF in an X-connection retrofitted with carbon fiber reinforced polymer (CFRP) can be down to 23% of the SCF in the associated un-retrofitted connection. Despite the notable efficacy of the FRP sheets on the drop of the SCFs in the X-connections, there is not any study or equation on the X-connections with FRP. Therefore, an equation was proposed for quantifying the SCFs in the X-connections with FRP.     

轴力作用下X型焊接管节点热点应力的分布规律

海洋平台中的焊接管节点的疲劳寿命是由热点应力的大小和分布决定。热点应力的大小决定了管节点在疲劳失效前所能承受的循环荷载的次数,而热点应力的位置则决定了疲劳裂纹的萌生位置和扩展方式。文中采用有限元方法分析了承受轴向拉力作用的X型焊接管节点在焊缝周围的热点应力的分布情况,通过对112个X节点进行的模型分析,研究了节点几何参数对热点应力大小和分布规律的影响。     

轴力作用下K型焊接管节点的应力集中系数分析

该文介绍了K型焊接管节点的几何和数值模拟方法.通过对两个大型的K节点模型的试验测试,得到了K节点在轴力作用下沿着焊缝周围的热应力区内的应力集中系数,并验证了数值结果的准确性.在此基础上,通过对1008个不同几何形状的K节点在轴力作用下应力集中系数的分析,研究了几何参数对K节点应力集中系数的影响.根据模型分析的结果,通过曲线拟合提出了计算轴力作用下K节点应力集中系数的参数公式,并对该公式的精确性进行了评价.     

Stress concentration factors in tubular T/Y-connections reinforced with FRP under in-plane bending load

Stress concentration factors (SCFs) in steel tubular T/Y-connections strengthened with fiber reinforced polymer (FRP) are investigated. In the first step, a finite element (FE) model was developed and verified using data of several available experimental tests and empirical formulas. After that, 134 FE models of T/Y-joints with and without FRP were created and analyzed under in-plane bending (IPB) load. In the FE models, the contact between the FRP layers and the members (chord, brace, and weld) was defined. Results showed that the increase of the FRP layer number leads to the notable decrease of the SCFs. Also, the SCFs of a T/Y-joint reinforced with FRP can be down to 40% of the SCF of the corresponding unreinforced joint. Finally, FE results were used to propose two parametric formulas for determining the SCFs in the T/Y-joints strengthened with FRP subjected to IPB load. The proposed formulas were checked according to the UK Department of Energy acceptance criteria.     

Local joint flexibility of tubular T/Y-joints retrofitted with GFRP under in-plane bending moment

In the present paper, the Local Joint Flexibility (LJF) of tubular T/Y-joints retrofitted with Glass Fiber Reinforced Polymer (GFRP) under IPB moment is studied and discussed. For this aim, a finite element (FE) model was generated and verified with the results of available experimental data and parametric formulas. Afterward, a set of 158 finite element (FE) models was created to evaluate the efficacy of the FRP sheets (number, length, and orientation), the brace inclination angle (θ), and the non-dimensional parameters (β, τ, and γ) on the LJF coefficient (f_LJF) and the f_LJF ratio of the retrofitted to the associated un-retrofitted joint. In the FE models, the efficacy of the weld profile and the contact between the FRP and the steel members (chord, weld, and brace) was considered. Also, analysis of variance (ANOVA) is used to identify the most dominant parameters which affect the f_LJF ratios. Results showed that in the retrofitted joints, the increment of the FRP sheet number results in the notable drop of the f_LJF. But, the efficacy of the FRP sheet orientation on the f_LJF can be ignored. Despite the considerable efficacy of the FRP sheets on the behavior of the tubular joints, there was not any study on the LJF in the joints retrofitted with FRP. Hence, after an extensive parametric study, the results were used to derive a parametric equation for determining the f_LJF of T/Y-joints retrofitted with FRP. Moreover, the derived equation was checked according to the UK DoE acceptance criteria.     

Study on sloshing in cargo tanks including hydroelastic effects

The sloshing problem in cargo tanks is studied through experiments and numerical analysis. The fluid motion is described using a higher-order boundary element method and the structural response by a thin plate theory. It was found that hydraulic jumps are formed when the excitation frequency is close to the resonance frequency in the case of low filling depth. In the case of high filling depth, the flow resonates and hits the top of the tank, thus inducing a large impact pressure. The pressure on the flexible plate shows amplified initial peaks followed by oscillatory components, the frequency of which coincides with the natural frequencies of the plate in water as a result of hydroelastic effects. Received for publication on Nov. 18, 1998; accepted on May 14, 1999     

在非线性波浪载荷作用下计及多种应力组合时船体总纵弯曲累积损伤计算

在时域内计算计及非线性时的船体总纵弯曲应力,与船体局部弯曲应力迭加后,可得纵向构件中合成应力的时历.对该应力时历进行雨流计数,经统计分析获得应力范围的长期分布,进而算出船体总纵弯曲时纵向构件在多种应力成份组合下的疲劳损伤.为方便此时的计算,本文提出了基于等效规则波概念的简化方法.数例表明按严格方法与按简化方法所得的结果比较接近.     

轴向荷载作用下K型管节点焊缝周围应力分布的参数公式

应用分区产生网格的方法产生了K型节点的有限元模型,计算了在轴向荷载作用下K型节点焊缝周围的热点应力分布情况,并与相关试验结果进行对比分析,验证了所提出的有限元模型的可行性和准确性。通过对1152个K节点模型分析,研究了几何参数对K型节点焊缝周围热点应力分布的影响,发现在几何参数取不同值时热点应力的分布随几何参数的变化发生改变,而且热点应力的位置也随着几何参数的变化在冠点和鞍点之间移动。并在此几何参数分析的基础上,提出了K型节点焊缝周围应力集中系数分布的参数公式,并对参数公式进行了误差分析。对于绝大多数K节点模型,拟合得到的参数公式所计算的焊缝周围应力分布结果是精确可靠的,所以提出的参数公式为工程中K节点疲劳设计和分析提供了参考方法。     

A regression and beam theory based approach for fatigue assessment of containership structures including bending and torsion contributions

Container shipping has been expanding dramatically during the last decade. Due to their special structural characteristics, such as the wide breadth and large hatch openings, horizontal bending and torsion play an important role to the fatigue safety of containerships. In this study the fatigue contributions from vertical bending, horizontal bending and torsion are investigated using full-scale measurements of strain records on two containerships. Further, these contributions are compared to results from direct calculations where a nonlinear 3D panel method is used to compute wave loads in time domain. It is concluded that both bending and torsion have significant impacts on the fatigue assessment of containerships. The stresses caused by these loads could be correctly computed by full-ship finite element analysis. However, this requires large computational effort, since for fatigue assessment purposes the FE analysis needs to be carried out for all encountered sea states and operational conditions with sufficient time steps for each condition. In this paper, a new procedure is proposed to run the structure finite element analysis under only one sea condition for only a few time steps. Then, these results are used to obtain a relationship between wave loads and structural stresses through a linear regression analysis. This relation can be further used to compute stresses for arbitrary sea states and operational conditions using the computed wave loads (bending and torsion moments) as input. Based on this proposed method for structure stress analysis, an efficient procedure is formulated and found to be in very good agreement with the full-ship finite element analysis. In addition it is several orders of magnitude more time efficient for fatigue assessment of containership structures.     

Computational fluid dynamics (CFD) prediction of bank effects including verification and validation

Restricted waters impose significant effects on ship navigation. In particular, with the presence of a side bank in the vicinity of the hull, the flow is greatly complicated. Additional hydrodynamic forces and moments act on the hull, thus changing the ship's maneuverability. In this paper, computational fluid dynamics methods are utilized for investigating the bank effects on a tanker hull. The tanker moves straight ahead at a low speed in two canals, characterized by surface piercing and sloping banks. For varying water depth and ship-to-bank distance, the sinkage and trim, as well as the viscous hydrodynamic forces on the hull, are predicted by a steady state Reynolds averaged Navier–Stokes solver with the double model approximation to simulate the flat free surface. A potential flow method is also applied to evaluate the effect of waves and viscosity on the solutions. The focus is placed on verification and validation based on a grid convergence study and comparisons with experimental data. There is also an exploration of the modeling errors in the numerical method.     

Nonlinear effects from wave-induced maximum vertical bending moment on a flexible ultra-large containership model in severe head and oblique seas

Vertical bending moment (VBM) is of crucial importance in ensuring the survival of vessels in rough seas. With regard to conventional vessels, wave-induced maximum VBM is normally considered to be experienced in head seas. It is conservative to determine the extreme VBM based on either numerical simulations or model tests in long-crested head seas. Extensive model tests have been conducted in head seas with focus on the nonlinear vertical responses in severe seas, and the measured results were compared with numerical calculations for validation. Unexpected phenomena, however, were observed during the model tests of an ultra-large containership. The maximum sagging and hogging VBMs were encountered in oblique seas. Furthermore, the significant wave height used in oblique seas was even smaller than that used in head seas. The nonlinear vertical load effects in oblique seas require further investigations for this particular vessel. Limited experimental results in oblique seas have been reported, in which the lateral responses were always more concerned than the vertical responses. Up to now, rare systematic comparisons of the nonlinear vertical responses between head and oblique seas have been published, especially when the hydroelastic effects are also accounted for. A 13000-TEU ultra-large containership model, which was designed by Hyundai Heavy Industries (HHI), has been tested in the towing tank and the ocean basin at the Marintek center in Trondheim. The experimental results in regular waves are first compared between head and oblique seas. The statistical characteristics of the VBM amidships under nineteen irregular wave conditions are then investigated. Next, the extreme hogging and sagging VBMs are compared under different wave conditions with focus on the extreme hogging VBMs. At the end of the paper, the uncertainties in the experiments are discussed.     

Bottom effects on the tower base shear forces and bending moments of a shallow water offshore wind turbine

In this paper the tower base shear forces and bending moments of a shallow water offshore wind turbine have been rigorously calculated by using a nonlinear simulation method taking into account the bottom effects. It has been found that nonlinearly simulated realistic waves with bottom effects should be used as inputs in the stochastic time domain simulation in order to design an un-conservative support structure for the offshore wind turbine. In order to further improve the simulation efficiency, a transformed linear simulation method has been utilized in this paper for generating equivalent waves as those obtained from the nonlinear simulation method. The accuracy and efficiency of the transformed linear simulation method have been convincingly substantiated through the subsequent calculation examples in this article.     

降低FPSO含裂纹焊接结构应力集中系数的焊接修理形状的研究

对焊缝处出现的裂纹进行焊接修理,以阻止其进一步的扩展,这一方法能够有效地延长FPSO焊接结构的疲劳寿命.考虑到应力集中而造成的疲劳寿命的降低,要谨慎选取焊接修理所采用的形状和尺寸,避免产生过高的应力集中.在本文中,研究了不同几何形状和尺寸的二维焊接修理切口的应力集中系数,如抛物线型和椭圆型等,并与相类似尺寸的U型切口进行了比较.当切口的表面半宽长于其深度时,椭圆型的裂纹修理切口具有更低的应力集中系数.将椭圆型的焊接修理形状用于补板与纵骨的连接处,以计算进行焊接修理消除裂纹后结构的最大主应力.结果表明,在消除产生的裂纹以后,含焊接修理切口的结构可以恢复到初始的应力状态.     

船用双相不锈钢焊接结构疲劳性能研究

文章对船用双相不锈钢焊接结构的焊缝、影响区和母材在不同应力比下分别进行了疲劳裂纹扩展实验,同时利用有限元分析软件进行了数值模拟,得到了裂纹扩展速率da/dN与应力强度因子ΔK的关系曲线。研究结果表明:船用双相不锈钢焊接结构中焊缝裂纹扩展速率最低,抗疲劳裂纹扩展能力最高;母材疲劳裂纹扩展速率最高,抗疲劳裂纹扩展能力最差;焊缝对应力变化的灵敏度最高,热影响区次之,母材最弱;通过实验与模拟对比分析,表明数值模拟对船用双相不锈钢疲劳裂纹扩展速率定量分析是正确的且方法可行。     

船体焊接结构疲劳问题的热点应力研究

选取FPSO某一局部结构采用有限元数值计算确定热点应力，由此推导结构的疲劳寿命，将计算结果和全尺度疲劳试验结果进行对比，二者符合较好。     

波流耦合作用下海洋柔性立管防弯器动力响应数值分析

基于三维动态时域分析软件OrcaFlex建立防弯器与立管耦合响应模型,对柔性立管防弯器在波流耦合作用下的动力响应进行了参数敏感性分析,结合分析结果对柔性立管防弯器系统进行优化布局,并分析了流向变化和浪向变化对弯矩的影响。结果表明,靠近立管与浮体或水下设备固结点的曲率和弯矩大,随着远离固结点,曲率和弯矩呈递减趋势。海流方向变化对立管和防弯器曲率和弯矩的影响较浪向变化更大。底部立管和防弯器弯矩高于顶部,需格外注意。防弯器曲率与立管曲率基本一致,但弯矩高出很多,达到了防弯器保护立管承载过度屈曲的目的。     

船体梁刚度对波激振动影响的比较研究

  目的  针对大型船舶波激振动效应下的疲劳损伤问题进行研究。  方法  通过船模试验方法,比较两代400 000 DWT超大型矿砂船（VLOC）疲劳损伤的试验结果,分析船体梁波激振动效应下海况与疲劳的关系。通过递推方法,研究系列模型下的典型海况影响。  结果  结果表明,波激振动对疲劳的放大效应与有义波高和遭遇周期存在趋势关系。通过归纳递推方法,提出“主导海况”的概念,对疲劳损伤放大因子公式进行了修正;波激振动程度随海况的变化明显,波激载荷对疲劳损伤的放大效果随遭遇频率和有义波高的减小而增大。  结论  以“主导海况”代替多典型海况,可以在较短时间内获取相对准确的疲劳损伤放大因子,这在船舶设计初期具有指导意义。