Stress concentration factors in FRP-reinforced tubular DKT joints under axial loads

The stress concentration factors (SCFs) in uniplanar fibre-reinforced polymer (FRP) DKT joints are calculated under five axial loading conditions to determine the maximum SCFs. To this end, 108 finite element models of reinforced DKT joints with different FRPs and geometrical parameters are analysed. Available experimental data and formulas are used to validate the finite element models. The validated finite element models are utilized to investigate the effects of the FRP parameters along with different geometrical parameters on the stress concentration factors in uniplanar DKT joints. The simulations show a reduction of the maximum SCF by around 40% compared to unreinforced DKT joints. The reduction effect increases significantly with increasing the FRP thickness and the number of layers. 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-joints with FRP. Therefore, a precise equation is proposed for quantifying the SCFs in X-connections with FRP and is checked against the UK DoE acceptance standard.     

双平面焊接圆管截面DKT节点的中心撑杆鞍点及冠点位置的应力集中系数(英文)

A set of parametric stress analyses was carried out for two-planar tubular DKT-joints under different axial loading conditions.The analysis results were used to present general remarks on the effects of the geometrical parameters on stress concentration factors(SCFs) at the inner saddle,outer saddle,and crown positions on the central brace.Based on results of finite element(FE) analysis and through nonlinear regression analysis,a new set of SCF parametric equations was established for fatigue design purposes.An assessment study of equations was conducted against the experimental data and original SCF database.The satisfaction of acceptance criteria proposed by the UK Department of Energy(UK DoE) was also checked.Results of parametric study showed that highly remarkable differences exist between the SCF values in a multi-planar DKT-joint and the corresponding SCFs in an equivalent uni-planar KT-joint having the same geometrical properties.It can be clearly concluded from this observation that using the equations proposed for uni-planar KT-connections to compute the SCFs in multi-planar DKT-joints will lead to either considerably under-predicting or over-predicting results.Hence,it is necessary to develop SCF formulae specially designed for multi-planar DKT-joints.Good results of equation assessment according to UK DoE acceptance criteria,high values of correlation coefficients,and the satisfactory agreement between the predictions of the proposed equations and the experimental data guarantee the accuracy of the equations.Therefore,the developed equations can be reliably used for fatigue design of offshore structures.     

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.     

FPSO节点焊趾处的裂纹修理形状研究

对焊缝处出现的裂纹进行修理以阻止其进一步扩展,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,要谨慎选取修理时所采用的形状和尺寸,避免在修理后产生的表面缺陷处出现过高的应力集中.文中旨在进行三维T型焊接节点焊趾处的裂纹修理分析,为了选取合理的修理切口,首先对不同几何形状和尺寸的二维焊接修理切口,如抛物线型和椭圆型等,进行了应力集中系数的计算,并与相类似尺寸的U型切口的计算结果进行了比较.结果表明,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.随后,选择应力集中较小的椭圆型和U型切口焊接修理形状,并采用更加精确的三维有限元分析方法进行分析,给出了通过打磨等修理方式消除裂纹后得到的三维表面缺陷的应力集中系数,为工程上焊趾处裂纹的修理提供决策依据.     

轴向载荷下多平面DT型管节点应力集中系数概率模型研究

应力集中系数作为一个随机变量,对管节点及导管架平台的疲劳可靠性评估结果有着重要影响。文章以多平面DT型管节点为研究对象,建立了352个几何参数不同的三维管节点有限元模型,并分析了沿弦管-撑管焊缝处的应力集中系数分布。采用密度直方图描述最大应力集中系数统计样本的特征,利用疲劳可靠性分析中常用的几种概率分布进行拟合。各个概率模型中的参数通过极大似然估计方法得到。根据卡方检验的结果对比发现,Birnbaum-Saunders分布是最适合的概率模型。因此,文中提出一组适用于描述在轴向载荷即单向轴向和平衡轴向载荷作用下多平面DT型管节点弦管侧和撑管侧最大应力集中系数分布的概率模型,对今后导管架式海洋平台结构的疲劳可靠性分析具有重要意义。     

SCF equations in multi-planar welded tubular DT-joints including bending effects

Welded tubular connections exhibit significant stress concentrations at the weld vicinity, which may result in fatigue failure. Stress concentration factors (SCFs) in DT-joint are computed, based on an extensive finite element study. The present paper develops a methodology for the calculation of the maximum local stress, referred to as “hot-spot stress”, in a multi-planar DT-joint, with particular emphasis on the effects of bending moments on the braces and the chord. Special attention is focussed on the location where critical stress concentration occurs, as well as on the so-called “carry-over phenomenon” and its implications on the hot-spot stress value. Simplified design equations for fatigue design are proposed to determine SCF values due to bending in order to improve predictions with respect to existing design tools.     

对接接头焊趾应力集中有限元分析

研究焊缝几何参数对应力集中的影响,对于提高焊接结构疲劳强度有重要的意义.本文采用有限元方法,计算了双侧对称加强高和单侧加强高的对接接头焊趾处的应力集中系数,分析了几个主要参数,包括焊趾倾角、焊趾过渡圆弧半径和板厚对于应力集中系数的影响,研究了焊趾处应力集中沿板厚方向的变化情况,在分析大量计算结果的基础上给出了估算两种形式的对接接头应力集中系数的经验公式.结果表明,减小焊趾倾角,增大过渡圆弧半径,可以减缓焊趾处截面形状的变化,改善焊趾处的应力集中;板厚的增加使得应力集中系数增大.并且单侧加强高的对接接头应力集中系数小于双侧对称加强高对接接头的,其减小幅度只与θ有关.     

集装箱船舱口角隅应力集中系数的有限元分析的精度

集装箱船舱口角隅的应力集中是船舶结构强度的一个重要问题。随着有限元技术的发展，目前舱口角隅的应力集中系数大都可以通过有限元计算直接获得。由于有限元分析过程中存在着大量不确定性，通过控制其有限元分析各个步骤的质量来保证有限元分析的精度，已经成为一个重要的研究方向。本文利用现有有限元分析软件（ABAQUS），通过对不同模型简化方法的讨论，给出了正确计算舱口角隅结构应力集中系数的模型简化方法，并在此基础上讨论了网格尺度对应力集中系数的影响。     

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.     

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.     

纵骨穿过舱壁板的开孔应力集中系数

疲劳裂纹各方面一往发生在船舶结构的局部高应力区，而疲劳分析结果通常取决于任何准确确定结构的应力集中系数，本文研究为铺设纵骨而在舱壁板上开孔的应力集中，采用有限元方法对预先给定的结构进行应力分析。基于有限元计算结果给出了舱壁板典型开孔（参见ABS油船规范）的应力集中系数表。     

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.     

Study on hot spot stress distribution of three-planar tubular Y-joints subjected to in-plane bending moment

The three-planar tubular Y-joint (3Y-joint) is the main part of the fatigue assessment of tripod substructures of offshore wind turbines (OWTs). As typical multiplanar tubular joints, 3Y-joints are affected a lot by multiplanar interaction between braces. Moreover, the locations of hot spot stress (HSS) can vary considerably under different load types. Thus, the distributions of stress concentration factor (SCF) and multiplanar interaction factor (MIF) along weld toe curves are necessary to calculate HSS. Considering these requirements, this study focuses on the 3Y-joint considering the wide application of the tripod substructure of OWT. A finite element (FE) analysis method is introduced and validated. Then, a numerical database is established covering common ranges of parameters used in practice. The SCF and MIF of 3Y-joint under in-plane bending moment are analyzed. Distribution formulas are proposed and proved suitable for calculating HSS in engineering design.     

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.     

A design equation for evaluation of strain concentration factor in concrete coated X65 pipelines

An extensive parametric study using detailed nonlinear finite element (FE) models, was conducted in order to develop a design equation for predicting Strain Concentration Factor (SCF) in field joints of X65 concrete coated pipelines under bending. Dimensions of the pipeline and coating, material properties of the coating and anti corrosion layer, as well as the loading level, were included in the design equation. Buckingham's theorem was incorporated to simplify the equation by introducing non-dimensionalized parameters. The design equation was fitted to FE data using the nonlinear least square regression, while additionally, margins of safety were defined using the confidence interval concept for practical applications. The interactive effect of parameters on SCF was studied, leading to the introduction of a single non-dimensional “coating parameter” that can accurately describe the upper limit of the SCF. This study concluded with a definition of a critical “coating parameter” which can be used to assess safe combinations of coating thickness and installation loads, thus preventing excessive strain concentration.     

一种新的海洋平台管节点应力评估方法

海洋工程焊接管节点受应力集中及复杂随机载荷的联合作用,容易发生疲劳破坏。为了提高焊接管节点结构疲劳寿命预测的准确性,文章以管壁厚方向上的一点作为疲劳评估点,提出了一种新的管节点结构应力计算方法。通过与国际上公开发表的疲劳试验数据进行比较,证明了文中方法应用于管节点结构的可行性及考虑壁厚方向应力梯度的有效性。基于数值计算,文中还提出了可用于T型管节点应力集中系数计算的参数公式,并对参数公式的精度进行了验证。     

环加强T型管柱接头应力分析

本文运用有限元方法对海洋石油钻井平台中采用内圆环加强的 T 型管柱接头进行了系列计算和分析。研究了各种载荷工况下不同加强形式的内圆环对降低热点应力的效果和规律,并提出了以加强圆环、主管壳板及支管壳板三者之间的相对刚度系数 K 为参数的计算单圆环加强的 T 型管柱接头热点应力集中系数的方法。     

船舶舷侧细节结构的热点应力计算中的不确定性因素研究

疲劳是船舶结构一种重要的失效模式。在过去的十多年间，涌现出了一些不同的疲劳强度的评估方法，其中S－N曲线法在船级社中得到了广泛的应用。但是，仅就S－N曲线法中的热点应力法而言，不同的组织和个人所预报的疲劳寿命通常也存在很大差异，而计算所得的热点应力集中系数的不同是产生这些差异的一个重要影响因素。本文运用有限元比较研究的方法，对某船舶舷侧细节结构的热点应力计算中可能存在的不确定因素进行了综合分析。通过采用不同的单元类型，不同的建模方法以及不同的有限元软件ABAQUS和ANSYS，得出了相关结论，为正确计算此类船舶结构细节的热点应力提供了指导。     

装配式空心板梁桥铰缝病害机理分析与防治措施

以某装配式钢筋混凝土空心板梁桥为例,考虑温度场变化、车辆行驶工况,采用大型的有限元分析软件ANSYS,计算并探讨了不同季节情况下混凝土空心板温度应力对板梁桥裂缝病害的影响,分析了不同车辆荷载情况下板梁桥的纵向铰缝的复杂受力状态及其破坏机理,提出了防止板梁桥结构裂缝及铰缝破坏的设计方法和构造措施。     

浮式平台上部模块非管节点SCF控制方法

应力集中系数（Stress Concentration Factor，SCF）是评估节点疲劳损伤的重要参数。针对浮式平台上部模块非管节点的SCF控制，设计5种加强形式，采用Ansys软件对非管节点进行SCF分析。结果表明：筋板加强可有效改善面外弯矩作用下的应力集中；扣管加强对轴向力、面内弯矩和面外弯矩均具有较好的改善效果。