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.     

Buckling and ultimate capability of plates and stiffened panels in axial compression

This paper presents extensive non-linear finite element (FE) analysis and formulation development work carried out on the ultimate compressive strength of plates and stiffened panels of ship structures. A review of contemporary designs for large ships was carried out. The existing formulae for plate ultimate compressive strength were reviewed and compared with non-linear FE analysis results. A semi-analytical formula for ultimate compressive strength assessments of stiffened panels was proposed and is described. The developed formula was verified against results using ABAQUS non-linear FE software for a series of 61 stiffened panels and a good agreement between the proposed formula and FE results were achieved. The method was verified against a large number of published FE results and was also compared with 58 experimental results. The developed method was also applied to the deck and bottom structures for a range of various sizes oil tankers and bulk carriers.     

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.     

用非线性有限元的方法研究准静态加筋方形管压溃破坏中加强筋的影响

在船舶碰撞和搁浅中,薄壁结构在轴向压力条件下的压溃破坏是一种重要的破坏模式.本文用非线性有限元方法研究了准静态条件下纵向和横向加强筋对加筋方形管压溃破坏的影响.基于实验结果和数值仿真的结果,给出了新的等效板厚和平均压溃载荷计算公式.计算结果表明新的平均压溃载荷计算公式能够更好地拟合实验结果.     

冰载荷对加筋板轴向压缩极限强度的影响

船舶在冰区航行时,将遭受浮冰的挤压,船舷侧部位的加筋板会受到冰载荷的作用。以单筋单跨加筋板为研究对象,采用非线性有限元法对冰载荷下加筋板轴向压缩极限强度进行分析。研究冰载荷的大小、加载区域面积和加载区域位置的不同对极限强度的影响规律。结果表明,冰载荷大小一定,冰载荷作用区域面积逐渐增加时,加筋板的轴向压缩极限强度随着面积的增加基本呈线性增加。冰载荷作用区域位置距离加筋板中心点距离逐渐增加时,加筋板的轴向压缩极限强度逐渐增加,且随着相对距离的增加,对加筋板轴向压缩极限强度的影响越来越大。这些结果可用于指导冰区船舶结构的设计以及维护。     

板单元焊接变形辊式矫平方案研究

通过对U肋桥面板板单元焊接变形的辊式矫正方法的理论分析及有限元数值模拟,提出一种板单元焊接变形机械设备矫正方法,以改善传统火焰矫正工作效率低、成型质量差、工作环境恶劣、能耗较大、污染环境等问题。     

船舶碰撞仿真分析中的单元尺寸与失效应变关系研究

随着船舶向大型化发展势头迅猛,船舶碰撞所带来的灾难性后果也显著增大.为评估船舶结构的耐撞能力,国内外研究人员分别从试验和数值模拟2个方面开展研究工作.针对船舶碰撞场景的仿真模拟中,经常采用常应变失效准则来定义单元是否失效.然而失效应变取值强烈依赖于单元尺寸大小,因此,开展失效应变与单元网格尺寸关系研究对船舶结构的耐撞性能准确评估意义重大.本文通过对光板及加筋板的耐撞性能的试验研究,并应用非线性有限元软件LS-DYNA对试验结果进行仿真模拟,探讨了光板及加筋板的单元尺寸和失效应变之间的关系.结果表明:光板和加筋板的单元尺寸与失效应变关系曲线明显不同,因此采用常应变失效准则时应区别对待,不能混用.研究结论对船舶结构碰撞有限元仿真具有一定的指导意义.     

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.     

基于裂纹最大张口位移的加筋板弹塑性断裂分析

为了快速方便地求取船舶加筋板塑性性能的两个重要参数—裂纹尖端塑性区半径（Ry）和裂纹尖端张开位移（CTOD）,文章提出了一种基于裂纹最大张口位移（MCOD）来确定加筋板的裂纹尖端塑性区半径和裂纹尖端张开位移的简便方法。该法基于理想弹塑性材料,以提出的裂纹最大张口位移与裂纹尖端塑性区半径及裂纹尖端张开位移的拟合函数关系为基础,考虑了模型尺寸效应、材料特性参数及外载荷的影响。文中还对不同裂纹长度、不同屈服极限条件、不同板/筋刚度比时方法的适用性进行了分析,研究表明：该方法能够消除裂纹长度、屈服极限和外载荷等因素的影响,适用于有限宽船舶加筋板的弹塑性分析。     

Prediction of hull girder moment-carrying capacity using kinematic displacement theory

The hull girder moment capacity of a very large crude oil carrier (VLCC) called Energy Concentration (EC), for which many benchmark studies have been carried out using the simple progressive collapse method (SPCM), is predicted. In this study, three approaches are used to represent the load-shortening behavior, so-called average compressive strength, of a stiffened panel, comprising the hull section: 1) kinematic displacement theory (KDT); 2) nonlinear finite element analysis (FEA); and 3) simple formulas in the common structural rule (CSR) for tankers. Load-shortening curves for various kinds of stiffened panels in EC are compared for five different scenarios with variations of load-shortening approaches and initial imperfections. In order to verify the effect of load-shortening on the prediction accuracy of the hull girder moment-carrying capacity, load-shortening curves are imported into an SPCM-based in-house program called Ultimate Moment Analysis of Damaged Ships (UMADS). Comparison of the hull girder ultimate strength for general heeling conditions, including hogging and sagging conditions, reveals that the load-shortening curves significantly affect the hull girder moment-carrying capacities. Based on our comparison of these capacities with other benchmark results, it is concluded that nonlinear FEA provided the most conservative results, KDT provided the second most conservative results, and the CSR formulas predicted the upper bound.     

预加轴力下加强冷弯T型方钢管节点抗冲击试验研究

为深入研究加强方式对T型方钢管节点的抗冲击性能的影响,文章进行了预加轴力下加强冷弯T型方钢管节点抗冲击性能试验研究,研究了主管内部加劲肋和主管上翼缘垫板加强对节点试件冲击力、支管顶部及主管底部变形发展等受力性能指标的影响.通过试验得到管节点在冲击荷载作用下的破坏模态、冲击力和位移时程曲线以及荷载-位移关系曲线,获得加强后节点在冲击荷载作用下的抗冲击工作机理,为管结构抗冲击设计和加固维护提供参考.     

An upper-bound solution to the problem of plate tearing

An upper-bound solution is derived for the problem of the tearing of a metal plate by a rigid wedge. These newly proposed formulas, with no fracture parameters being used, provide an explanation to the problem of plate tearing, which is a phenomenon that occurs in the process of ship grounding. This paper starts with the proposition of a new kinematic model. Based on the fact that in many experiments there is no evidence of cracks extending ahead of the wedge tip, this new kinematic model assumes no separation between the wedge tip and the crack tip in the plate. Another characteristic of this model is that out-of-plane deformation is assumed for the region around the tip, which correlates well with the experimental observations. Rupture of the metal plate is assumed to occur ahead of the wedge tip due to ductile failure. In the case of longitudinally stiffened panels, an equivalent plate thickness is employed to take the effect of stiffeners into consideration. From comparisons of calculations with existing experimental results, it is clear that the present upper-bound solution is effective in predicting resistance force and energy absorption in the process of plate tearing, and that it can provide predictions that are close to those obtained from empirical formulas and from the theoretical formulas of Wierzbicki and Thomas, who assume that cracks run ahead of the wedge tip.     

不同加筋形式对结构声辐射性能的影响

本文基于统计能量法分析了横向加筋板,纵向加筋板,斜加筋板,圆心在板角的圆弧形加筋板,圆心在板中轴的圆弧形加筋板,正交加筋板等六种不同加筋形式板在100Hz至1000Hz内的声辐射特性,研究表明正交加筋板的平均辐射声压级要低于另外五种形式的加筋板.研究了两类改变加强筋间距的横向加筋板的声辐射性能,研究表明对于固定左侧的一根加强筋改变加强筋间距,随着加强筋间距的增大,辐射声压级先增大后减小,而对于板中线为基准改变加强筋间距,对辐射声压级影响不大.最后,本文研究加筋板在主机舱中的实际应用,建立了三种主机舱模型,分析模型的声辐射特性,研究表明复合加筋形式的主机舱辐射声压级最小,相对于无加筋形式,要低4~5dB左右.     

考虑随机材料、尺寸及初始缺陷的加筋板结构极限强度研究

为获得加筋板结构极限强度的统计规律,考虑结构材料、尺寸及初始缺陷的随机性（其数值可以认为是满足某种分布规律的随机量）,采用Monte Carlo结合非线性有限元进行强度的研究。在验证非线性有限元准确性的基础上,取结构尺寸、初始缺陷幅值、材料参数为随机变量,采用数值实验、最大熵法及K-S检验拟合获得极限强度的概率密度函数。结果表明,在较少样本时最大熵法可准确获得统计规律,为结构可靠性分析中复杂结构抗力模型的研究提供参考。     

大型加强板结构焊接顺序的效果研究(英文)

Welding sequence has a significant effect on distortion pattern of large orthogonally stiffened panels normally used in ships and offshore structures. These deformations adversely affect the subsequent fitup and alignment of the adjacent panels. It may also result in loss of structural integrity. These panels primarily suffer from angular and buckling distortions. The extent of distortion depends on several parameters such as welding speed, plate thickness, welding current, voltage, restraints applied to the job while welding, thermal history as well as sequence of welding. Numerical modeling of welding and experimental validation of the FE model has been carried out for estimation of thermal history and resulting distortions. In the present work an FE model has been developed for studying the effect of welding sequence on the distortion pattern and its magnitude in fabrication of orthogonally stiffened plate panels.     

含凹陷损伤FPSB典型加筋板剩余极限强度研究

本文选取一型FPSB典型加筋板结构,在考虑初始缺陷的情况下采用非线性元法,通过对比研究,选定了(1/2 1 1/2)的加筋板模型以及合适的边界条件、网格尺寸。分别研究了三种不同凹陷形状对加筋板极限强度的影响,选定了以弧形凹坑为主要研究对象的凹陷形式。分别研究了凹陷损伤加筋板随凹痕深度、凹痕长度、凹痕宽度、凹痕位置变化时结构在单轴受压情况下的极限强度变化情况。本文的计算结果可对此型FPSB加筋板结构在凹陷损伤后的极限强度评估提供一定的参考。     

加筋板整体屈曲临界应力计算与分析

利用解析法对加筋板稳定性进行了研究,忽略材料非线性的影响,利用理论方法求解四边简支加筋板的整体屈曲临界应力。对有一根加强筋的加筋板,定义板的挠曲函数,将其代入边界方程和协调方程,求解线性方程组的特征方程得到加筋板的临界应力。对有2根或多根加强筋的规则加筋板,利用能量法导出统一计算的公式得到临界应力。最后,利用有限元软件Abaqus和Nastran进行数值仿真,与理论解比较后得出本文计算方法是正确的,可以准确求解加筋板的稳定性问题。     

复合材料加筋板的光纤光栅测试与分析

设计材料用量相同的复合材料帽形加筋板和T形加筋板,基于2种结构的应变规律理论分析和有限元应变计算结果,提出在筋内部铺设光纤光栅的方案,并制作试验模型进行应变试验测试。将理论应变分布规律、有限元应变计算结果、电阻式应变片测试结果和光纤光栅应变测试结果进行对比分析,结果表明,光纤光栅应变测试结果的线性度要优于应变片。对于帽形加筋板和T形加筋板,光栅的单向应变测试结果与有限元计算结果的误差分别为6%和4%,剪切应变误差均为23%,且上述误差均小于应变片测试结果与有限元计算结果间的误差。     

Fatigue life prediction of welded stiffened 350WT steel plates

The propagation of fatigue cracks under constant amplitude cyclic loading was studied in welded stiffened steel plates. The residual stresses in the stiffened plates were measured using the neutron diffraction strain-scanning technique. A finite element model of the stiffened plate was constructed to simulate the residual stresses by an uncoupled thermal and thermo-mechanical analysis. Both the finite element model and the neutron diffraction measurements indicated that in general the residual stresses were tensile near the welded stiffeners and compressive between the stiffeners and ahead of the starter notch tip. Fatigue testing indicated that the fatigue crack growth rates of the stiffened plates were in general lower than that of a corresponding unstiffened plate, especially near the notch tip where compressive residual stresses existed. Both the finite element method and Green's function predicted the fatigue crack growth rates with reasonable accuracy.