Comparisons of calculations with experiments on the ultimate strength of wide stiffened panels

Five specimens of wide stiffened panel with four stiffeners under axial compression until collapse are studied with a nonlinear finite element analysis and Common Structural Rules to compare with the experimental results. The stiffened panel models have two longitudinal bays to produce reasonable boundary condition at the end of edges. Tension tests have been conducted to obtain the material properties of the steel that are used in the finite element analysis. Three boundary condition configurations are adopted to investigate their influence on the collapse behaviour of the stiffened panels. A displacement transducer was used to measure the initial geometrical imperfections of the stiffened plates. The collapse behaviour of the stiffened panels is analysed in finite element analysis with the measured initial imperfections and with nominal imperfections. An equivalent initial imperfection is validated for the ultimate strength of stiffened panel under compressive load until collapse for the panels under consideration. With the same imperfection amplitude, the shape of the column-type initial deflection of stiffeners affects significantly the collapse shape, but only slightly the ultimate strength and the mode of collapse of the stiffened panels. The 1/2 + 1 + 1/2 bays model with restrained boundary condition BC3 gives an adequate FE modelling and is possible to be fabricated in experiment.     

Ultimate strength assessment of stiffened panel under uni-axial compression with non-linear equivalent single layer approach

Steel stiffened panels are widely used in engineering design and construction. However, numerical modeling and analysis effort for a three-dimensional (3D) stiffened panel may be notable, especially for the ultimate limit state of ship structures. Therefore, a homogenization method is outlined that transforms 3D stiffened panel into an Equivalent Single Layer (ESL) concerning the same mechanical behavior. ESL stiffnesses are obtained with a unit cell analyses based on stiffened panel where periodicity is imposed with boundary conditions based on a first-order shear deformation theory (FSDT). Stiffnesses were determined from the first derivative of a membrane force and bending moment obtained with numerical simulations. The effect of initial imperfection shape was included in the analysis to account for local and global buckling behavior. ESL with non-linear stiffness was implemented in Abaqus UGENS subroutine, allowing incremental evaluation of stiffness. Ultimate strength prediction of a steel grillage model with ESL finite element analysis was in excellent agreement with detailed 3D FEM analysis. The key in this analysis was consideration of non-linear ESL stiffness as linear analysis was unable to detect the point where ultimate strength capacity of the grillage was reached.     

初始缺陷对加筋板结构极限强度的影响研究

采用非线性有限元软件Ansys研究包含3种初始缺陷加筋板结构在单轴压缩载荷作用下极限强度的变化趋势,即初始变形、残余应力和凹陷.以单筋单跨加筋板模型为研究对象,考虑初始变形,不同半径及不同速度的撞击球所形成的凹陷及残余应力对加筋板极限强度的影响.结果表明,初始缺陷的存在降低了结构的极限承载力,而且缺陷的叠加作用比单独缺陷存在时对结构极限强度的影响大;加筋板的极限强度随着凹陷深度的加深而减小;3种初始缺陷中,残余应力相对于初始变形和凹陷对结构极限强度的削弱影响更大.     

复合材料船体纵向极限强度可靠性分析

把船体甲板或船底板结构视为是一系列加筋板单元的组合，然后利用复合材料梁柱理论计算船体加筋板单元构件的极限承载能力，最后用Smith法计算复合材料船体的极限承载能力。由于复合材料船体纵向极限强度的极限状态方程不能简单地用船体各参数显式表达，故将近年发展起来的响应面法与JC法相结合，对复合材料船体纵向极限强度进行了可靠性分析。并讨论了影响船体纵向极限强度可靠性各变量的敏感性。     

Experimental study on the collapse strength of wide stiffened panels

Five specimens are tested under axial compression until collapse to investigate the ultimate strength of wide stiffened panels with four stiffeners. To avoid the side bays collapse and reduce the influence of the clamped boundary condition on the collapse behaviour, the tests are made on panels with two half bays plus one full bay in the longitudinal direction with simply supported condition at the end edge of loading. Initial loading cycles are used to release the residual stresses of the stiffened panels and the gap between the stiffened panels and the supported steel block. Strain gauges are installed on the plates and the stiffeners to record the distribution of strain. This series of experiments is compared to a series of tests with narrow panels (two stiffeners), which allows analysing the effect of the width on the strength of stiffened panels.     

基于广义切线模量理论的铝合金加筋板结构轴压极限强度分析

研究铝合金加筋板结构的极限强度,有利于充分发挥铝合金材料的强度潜力和结构的后屈曲承载能力。本文将广义切线模量理论应用于铝合金加筋板结构的轴压极限强度计算,并推导了适用于加筋板的协调参数、极限弯矩系数及结构系数等相关参数的解析算式,建立了铝合金加筋板结构的强度利用率函数,从而得到结构的极限强度,进一步完善了广义切线模量理论在加筋板结构极限强度研究领域的应用。通过将广义切线模量法计算结果与经验公式、有限元计算结果进行比较,验证了其适用性与可靠性,可用于工程分析计算。     

循环荷载作用下加筋板格单元的损伤累积及力学模型研究

为了计算加筋板和船体梁在循环荷载作用下的极限强度,将一种能够考虑损伤累积和构件局部屈曲的一维钢材等效本构模型引入到加筋板格单元中,提出加筋板格单元在轴向循环荷载作用下的损伤累积力学模型,采用Visual Basic程序编制了计算程序,对若干加筋板格单元在双向轴向循环荷载作用下的承载性能进行计算研究,并使用非线性有限元软件Abaqus进行对比验证,结果表明所提理论方法具有较好的精度。     

Evaluation of ultimate strength of stiffened panels under longitudinal thrust

A series of collapse analyses is performed applying nonlinear FEM on stiffened panels subjected to longitudinal thrust. MSC.Marc is used. Numbers, types and sizes of stiffeners are varied and so slenderness ratio as well as aspect ratio of local panels partitioned by stiffeners keeping the spacing between adjacent longitudinal stiffeners the same. Initial deflection of a thin-horse mode is imposed on local panels and that of flexural buckling and tripping modes on stiffeners to represent actual initial deflection in stiffened panels in ship structures. On the basis of the calculated results, buckling/plastic collapse behaviour of stiffened panels under longitudinal thrust is investigated. The calculated ultimate strength are compared with those obtained by applying several existing methods such as CSR for bulk carriers and PULS. Simple formulas for stiffened panels, of which collapse is dominated fundamentally by the collapse of local panels between longitudinal stiffeners, are also examined if they accurately estimate the ultimate strength. Through comparison of the estimated results with the FEM results, it has been concluded that PULS and modified FYH formulas fundamentally give good estimation of the ultimate strength of stiffened panels under longitudinal thrust.     

船体复合材料帽型加筋板渐进破坏分析

复合材料加筋板复杂的破坏过程与失效形式增加了应用难度。以面外均布载荷与面内压缩联合作用下的夹芯复合材料帽型加筋板为研究对象,在通过试验结果验证非线性有限元方法准确性的基础上,基于复合材料的hashin准则与胶层界面的最大应力准则展开渐进破坏分析,讨论了极限载荷、破坏模式及失效机理。采用有限元子模型技术对中段破坏区域建模,基于Shokrieh-Hashin准则进行局部破坏分析,讨论蒙皮的铺层损伤规律。结果表明:加筋板呈整体一阶屈曲破坏,极限载荷为316.8 kN;壁板下蒙皮的纤维压缩失效是导致加筋板整体破坏的原因;各铺层的面内失效规律基本相同,蒙皮的纤维压缩失效从外层逐渐向内层扩展,且扩展速率逐渐降低。     

加筋板格高级屈曲分析技术研究及软件开发

文章给出了基于弹性大挠度理论和刚塑性分析的加筋板格高级屈曲分析方法(EPM),该方法包括五种失效模式,即正交加筋板格整体屈曲、纵向加筋子板格整体屈曲、纵向加筋和带板的局部屈曲或屈服、纵向加筋的侧倾以及全部屈服,可以考虑初始挠度和残余应力的影响以及双向压缩和侧向载荷的联合作用。以EPM方法为核心开发了加筋板格高级屈曲分析软件系统,包括任务管理、数据输入、屈曲分析、结果查看、能力曲线和文件分析等六个模块。为验证EPM方法的精度进行了系列纵向加筋和正交加筋板格试验模型的比较计算,并计算了四种典型加筋板格的双向应力能力曲线,与板格极限状态分析（PULS）软件和协调共同结构规范（HCSR）方法进行了比较分析。结果表明EPM方法可以分析联合载荷等因素对加筋板格极限强度的影响,文中开发的软件系统可用于加筋板格高级屈曲分析。     

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。     

Sensitivity analysis on ultimate strength of aluminium stiffened panels

This paper presents the results of an extensive sensitivity analysis carried out by the Committee III.1 “Ultimate Strength” of ISSC’2003 in the framework of a benchmark on the ultimate strength of aluminium stiffened panels.Previously, different benchmarks were presented by ISSC committees on ultimate strength. The goal has typically been to give guidance to the designer on how to predict the ultimate strength and to indicate what level of accuracy would be expected.This time, the target of this benchmark is to present reliable finite element models to study the behaviour of axially compressed stiffened aluminium panels (including extruded profiles). Main objectives are to compare codes/models and to perform quantitative sensitivity analysis of the ultimate strength of a welded aluminium panel on various parameters (typically the heat-affected zone).Two phases were planned. In Phase A, all members analysed the same structure with a defined set of parameters and using different codes. It was expected that all the codes/models predict the same results. In Phase B, to boost the scope of the analysis, the different members (using their own model) performed FE analyses for a range of variation of different parameters (sensitivity analysis).     

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.     

Ultimate strength assessment of a tanker hull based on experimentally developed master curves

A geometrically similar scaling was made from small-scale specimen to full-scale stiffened panels and then their collapse behaviour is investigated. It is considered that the stiffened panel compressive ultimate strength test was designed according to geometrical scaling laws so that the output of the test could be used as representative of the stiffened panels of the compressive zone of a tanker hull subjected to vertical bending moment. The ultimate strength of a tanker hull is analysed by a FE analysis using the experimentally developed master stress-strain curves which are obtained by the beam tension test and the compressive test of the stiffened panel, and are then compared with the result achieved by the progressive collapse method.     

基于ALE算法的无转角和有转角铝制加筋板楔形体水弹性砰击的数值模拟研究

文章采用基于任意拉格朗日—欧拉(ALE)算法的显式有限元技术研究水弹性砰击现象,针对已开展的铝制加筋板楔形体结构入水砰击模型实验,开展了数值模拟比较工作。该楔形体底部斜升角为20度,底部两侧是包含三根纵骨和两根横梁的加筋板结构,两侧结构刚度不同。预报了模型无转角和有转角典型工况的砰击入水过程,得到的入水加速度、底部加筋板结构纵骨应力和横梁响应与模型实验结果吻合较好。研究表明该ALE算法具备模拟船舶局部结构的水弹性砰击流固耦合问题的能力。     

基于试验获取主应力应变曲线的油船极限强度评估研究(英文)

A geometrically similar scaling was made from small-scale specimen to full-scale stiffened panels and then their collapse behaviour is investigated. It is considered that the stiffened panel compressive ultimate strength test was designed according to geometrical scaling laws so that the output of the test could be used as representative of the stiffened panels of the compressive zone of a tanker hull subjected to vertical bending moment. The ultimate strength of a tanker hull is analysed by a FE analysis using the experimentally developed master stress-strain curves which are obtained by the beam tension test and the compressive test of the stiffened panel, and are then compared with the result achieved by the progressive collapse method.     

含裂纹加筋板在压缩载荷下的剩余极限强度试验研究

在老龄化引起的船舶结构安全性问题中,裂纹损伤是结构强度衰减的一个重要因素。文章采用逐步加载法对含裂纹损伤的加筋板压缩剩余极限强度进行试验研究。设计六种典型的穿透裂纹损伤加筋板,对损伤试件进行轴向压缩试验。通过改变裂纹尺寸、位置及倾角参数并根据试验观测结果,探讨了不同裂纹参数下加筋板的屈曲破坏特点和对剩余极限强度影响。试验结果表明,不同的裂纹长度以及裂纹位置改变加筋板结构承载力的分布,影响结构应力应变场,进而改变其失效崩溃模式;倾角为45°的裂纹相对于垂直于加筋的裂纹对加筋板结构的剩余极限强度影响较小,此外初始缺陷对结构的剩余极限强度的影响也不容忽视。     

复合材料船体纵向极限承载能力分析

该文利用梁柱理论推导出复合材料梁柱的极限承载能力公式，讨论了加筋板的初始几何缺陷，载荷偏心，蒙皮屈曲后的有效蒙皮宽度对复合材料长帽形加筋板的极限承载能力的影响。利用复合材料梁柱理论计算船体甲板或船底板结构视加筋板单元构件的极限承载能力，最后由Smith法来计算复合材料船体的极限承载能力。     

单根加筋板整体屈曲临界应力计算与分析

目前,对加筋板稳定性的研究多采用有限元法,缺乏理论指导。本文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。对有单根加强筋的加筋板,首先假设板的挠曲函数,接着将其代入板和加强筋的边界方程和协调方程,最后解线性方程组的特征方程得到加筋板的临界应力计算公式。为了验证该公式正确与否,选取多个算例,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推导的公式是正确的,并得出临界应力随γ和δ的变化趋势。     

基于J积分的含裂纹加筋板在单轴拉伸载荷下的极限强度计算

为研究含裂纹加筋板的极限拉伸强度,本文建立一系列不同长细比、不同裂纹长度、不同裂纹位置的含裂纹加筋板有限元模型,并基于J积分理论对其在单轴拉伸载荷下的极限强度进行了计算。结果发现含裂纹加筋板极限拉伸强度随加筋板长细比的增大略有减小,但减小的程度并不明显;含裂纹加筋板极限拉伸强度随裂纹长度的增大而减小,且减小的幅度逐渐增大;加强筋上的裂纹对含裂纹加筋板极限强度的影响小于底板上的裂纹,而裂纹同时出现在底板和加强筋上时对含裂纹加筋板极限拉伸强度的影响最大。表明含贯穿型裂纹的加筋板在单轴拉伸载荷下的剩余强度对加筋板长细比不敏感,而对裂纹长度较为敏感。