Interactive flexural-torsional buckling behaviour of stiffened plating

Results from a series of studies on stiffened plates under axial compression are presented in this paper. The large-deflection elasto-plastic behaviour of each panel component is described by the von Karman equations, thus enabling the lateral-torsional buckling of the stiffener to be modelled in a rigorous manner. Material nonlinearity is represented using the von Mises yield criterion in conjunction with the Prandtl-Reuss flow rule. Results are presented in the form of average stress-strain curves which are used to generate maximum strength curves for the stiffener and plate.     

New simplified approach to collapse analysis of stiffened plates

A new simplified model for collapse analysis of stiffened plates is developed in the framework of the idealized structural unit method (ISUM). By idealizing material and geometrical nonlinearities, larger structural units are defined as an element in ISUM than in conventional finite element analysis (FEA). The proposed stiffened plate model consists of ISUM plate elements and beam-column elements. The formulation of the plate element is performed by introducing accurate shape functions to simulate the buckling/plastic collapse behaviour of plate panels. Combining plate and beam-column elements allows for both local buckling of the plate panel and overall buckling of the stiffener.Fundamental collapse modes of plate panels and stiffened plates are investigated by conventional FEA. According to the observed characteristics, the new simplified model is formulated. Comparisons with FEA demonstrate the accuracy of the simplified model and its high applicability to typical stiffened plates in marine structures.     

Ultimate torsional strength of flat-bar stiffeners attached to flat plating under axial compression

A parametric study based on numerical analysis using an efficient non-linear finite element method code is presented for the simulation of the interactive flexural-torsional failure behaviour of flat-bar stiffeners in plates under uniform axial compression. The restraining effect of the structural components on one another is investigated by varying the plate and stiffener slenderness. Initial imperfection levels partinent to marine structures have been accounted for. Strength curves for the allowable stress at the top of the stiffener due to elasto-plastic torsional buckling are given for use with approximate design formulas.     

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.     

Post-buckling behaviour and strength of multi-stiffened aluminium panels under combined axial compression and lateral pressure

This paper presents the results of complementary numerical study done in the continuation of the activities carried out by the Committee III.1 “Ultimate Strength” of ISSC'2003 (Ref. [28] ).The main focus of the paper concerns the post-buckling behaviour and strength characteristics of the aluminium multi-stiffened panels under combined axial compression and lateral pressure.The finite element model proposed by the Committee III.1 “Ultimate Strength” of ISSC'2003 is used in the present investigation. Material is aluminium alloy AA6082-T6 and the multi-stiffened panel is a triple-span structure. Stiffeners are of either extruded or non-extruded angle-bar profiles. An initial deflection is imposed on the model in a procedure similar to that applied by the Committee III.1. General purpose finite element code ANSYS is used for non-linear elastic–plastic analyses.Main objectives are to study the influence of initial deflections and also HAZ on the post-buckling behaviour and collapse characteristics of aluminium stiffened panels under combined axial compression and lateral pressure. Different values of lateral pressure are exerted on the model in a systematic manner to simulate various levels of lateral pressure loading on multi-stiffened aluminium panels used in the construction of high-speed crafts.     

Experimental and analytical investigations on the response of stiffened plates subjected to lateral collisions

Rational structural design of ships or offshore platforms against collisions requires prediction of the extent of damage to stiffened plates generated by lateral impact. In predicting the extent of collision damage, most researchers employ numerical analysis methods using commercial software packages. Like other structural problems, any nonlinear dynamic analysis methods should be substantiated with relevant test data prior to being employed for design. Unfortunately, full-scale collision tests on marine structures are very rare. Still, results from collision tests on marine structural elements can help to substantiate theoretical methods for collision analyses. Lateral collision test data for unstiffened plates are available, but it is difficult to find results from tests on stiffened plates in the open literature. In this paper, the results of lateral collision tests on 33 stiffened plates are reported. A simplified analytical method is developed for the prediction of the extent of damage to stiffened plates due to lateral collisions and this method is substantiated with the test results. Also proposed is a simple criterion with which the occurrence of crack damage can be judged.     

A Simplified Model for the Effect of Weld-Induced Residual Stresses on the Axial Ultimate Strength of Stiffened Plates

The present work investigates the compressive axial ultimate strength of fillet-welded steel-plated ship structures subjected to uniaxial compression, in which the residual stresses in the welded plates are calculated by a thermo-elasto-plastic finite element analysis that is used to fit an idealized model of residual stress distribution. The numerical results of ultimate strength based on the simplified model of residual stress show good agreement with those of various methods including the International Association of Classification Societies (IACS) Common Structural Rules (CSR), leading to the conclusion that the simplified model can be effectively used to represent the distribution of residual stresses in steel-plated structures in a wide range of engineering applications. It is concluded that the widths of the tension zones in the welded plates have a quasi-linear behavior with respect to the plate slenderness. The effect of residual stress on the axial strength of the stiffened plate is analyzed and discussed.     

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.     

焊接诱导的残余应力对加劲板轴向极限强度影响的简化模型研究（英文）

The present work investigates the compressive axial ultimate strength of fillet-welded steel-plated ship structures subjected to uniaxial compression, in which the residual stresses in the welded plates are calculated by a thermo-elasto-plastic finite element analysis that is used to fit an idealized model of residual stress distribution. The numerical results of ultimate strength based on the simplified model of residual stress show good agreement with those of various methods including the International Association of Classification Societies(IACS) Common Structural Rules(CSR), leading to the conclusion that the simplified model can be effectively used to represent the distribution of residual stresses in steel-plated structures in a wide range of engineering applications. It is concluded that the widths of the tension zones in the welded plates have a quasi-linear behavior with respect to the plate slenderness. The effect of residual stress on the axial strength of the stiffened plate is analyzed and discussed.     

Patran的PCL语言在板格和加筋板极限强度计算中的运用

用Fortran编写程序生成Patran的.ses文件,可将任意指定的初始挠度施加到要计算分析极限强度的光板和加筋板结构模型中去.具体分析6块光板和4块加筋板结构的极限强度,计算结果表明,该方法可以模拟任意复杂的变形形式,从而更加准确地计算和评估加筋板结构的极限强度.     

船舶加筋板轻量化设计研究

加筋板作为船舶中的基本结构单元,对其进行合理地轻量化设计研究并推广到全船可有效减少钢材消耗,降低制造成本。采用有限元软件,对加筋板的力学特性和振动特性进行分析,结合拓扑优化和尺寸优化方法,开展加筋板结构轻量化与振动的协同设计。根据优化结果重新设计梯形式的加强筋结构,并对比分析新型板材特性变化情况,验证优化结果的有效性,并讨论梯形加强筋底角大小对板材特性的影响。最终在保证其适用性的前提下,实现了加筋板减重19.2%。     

推力和横向压力作用下加筋板破坏分析的理想化结构单元法

理想化结构单元法(ISUM)已经成为评估结构系统中承受载荷能力的一个有效工具.本文给出了最新的ISUM板元公式,并考虑了双轴向推力和横向载荷对板元的加载.为了精确地模拟加筋板的性能,分别用梁-柱元和板元制作了肋材和板材的模型.与有限元分析(FEA)的比较表明该方法对解决加筋板在横向压力和推力载荷下的问题是适用的.对箱形桁材的四点弯曲试验的分析表明与试验数据吻合良好.     

A computational investigation of the effects of both-sides general corrosion on the buckling/plastic collapse behaviour and strength of stiffened plates

This paper presents the results of an investigation into the post-buckling behaviour and ultimate strength of imperfect corroded stiffened steel plates used in ships and other marine-related structures. A series of elastic–plastic large deflection finite element analyses is performed on stiffened steel plates suffering general corrosion wastage with random distribution. General corrosion is introduced into the finite element models using a random thickness surface model. The effects of corroded stiffened plate parameters on the post-buckling and ultimate strengths are evaluated in detail. The stiffeners of different symmetrical or unsymmetrical cross-sections are introduced into the models for analysis. Some distinctions are explored and highlighted between the behaviours of steel plates suffering general corrosion in unstiffened and stiffened cases. Finally, a proposal is given in order to simulate the average stress–average strain relationship of stiffened steel plates having both-surface general corrosion wastage.     

双向密加筋板强度公式的推导及其修正

将双向密加筋板简化成正交异性板模型,通过对平衡方程的无因次变换,利用各向同性板的弯曲要素,求得正交异性板在均布载荷下的最大应力值。具体分析5种加筋板结构形式、2种加强筋类型和2种加强筋的尺寸。计算结果表明,文中提供的公式可以准确地对双向密加筋板的强度进行预报。     

具有裂纹缺陷的加筋板的剩余拉伸强度分析

对具有裂纹缺陷的加筋板的剩余强度进行了数值分析.考虑了加筋板上的三种缺陷形式,即板和筋上的垂直裂纹,板和筋上的倾斜裂纹以及板上的裂纹和筋上的圆孔.对板和筋上的相对裂纹长度、材料属性、板和筋的厚度、裂纹开裂角度以及圆孔的直径等影响参数进行了分析.同时,将无加筋板剩余强度的经验公式推广到加筋板,并验证了公式的有效性.     

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。     

Influence of boundary conditions on the collapse behaviour of stiffened panels under combined loads

A series of finite element analyses are conducted to investigate the influence of boundary conditions and geometry of the model on the predicted collapse behaviour of stiffened panels. Periodic and symmetric boundary conditions in the longitudinal direction are used to calculate the ultimate strength of stiffened panels under combined biaxial thrust and lateral pressure. The calculated ultimate strength of stiffened panels are compared with those by different FEM (finite element method) code and are assessed. The periodic boundary condition in the longitudinal direction for two spans or bays model provides an appropriate modelling to a continuous stiffened panel and can consider both odd and even number of half waves and thus, is considered to introduce the smaller model uncertainty for the analysis of a continuous stiffened panel.     

均匀受压含裂纹损伤加筋板的极限承载能力分析

在均匀受压下,针对含损伤裂纹缺陷的加筋板的承载力学特性进行研究,探讨了裂纹参数对其承载能力的影响。通过改变加筋板上裂纹的位置和裂纹尺寸,利用非线性有限元分析软件Abaqus对其进行系列非线性仿真分析,得到含损伤裂纹加筋板的破坏力学特性以及破坏模式。结果表明,损伤裂纹会削弱加筋板架的承载能力,并且当裂纹尺寸超过某临界值时,板架的极限承载力会急剧减小。     

局部板架的振动计算研究

采用直接简化计算的方法对船上常见的局部板架结构的固有频率进行计算和分析研究。考虑到船上常见的局部板架结构和板架所处环境的不同,分3种不同类型的板架,同时考虑所处空间介质和船体内环境的不同,分别进行研究和计算;与激励源相比后适当修改板架的设计加强方式,以达到初期设计阶段避免船体局部共振的目的。     

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.