加筋板低周疲劳寿命和累积塑性应变模型

为分析加筋板结构累积塑性破坏的影响,应用损伤力学基础理论,并结合筋板相互影响系数,以塑性应变为损伤演化的控制参量,推导并建立加筋板结构低周疲劳累积递增塑性应变模型和低周疲劳寿命模型。将加筋板在循环载荷下的疲劳损伤变量引入累积递增塑性应变方程中,通过积分变换,推导出循环载荷下船舶加筋板结构轴向累积塑性应变的演化方程及其低周疲劳寿命本构模型;采用船舶通用高强度402钢相关材料疲劳特性参数对船舶加筋板结构低周疲劳寿命模型进行对比分析;将塑性应变发展理论模型与有限元计算结果进行比较,分析平均应力和筋条刚度比对累积塑性应变的影响规律。结果表明,该模型较好地反映了船舶加筋板结构的轴向累积塑性应变演化规律,同时能方便地对船舶结构低周疲劳强度进行评估、校核。     

轴向循环载荷下裂纹板和加筋板极限强度

为保障船体总纵强度的安全性,对裂纹板和加筋板在轴向循环载荷下的极限承载性能进行研究。采用系列光板和筋-板组合试件模拟船体板和加筋板构件,并在板上预制初始裂纹,对其在轴向循环载荷下的极限承载力进行试验研究。最后对试件的极限承载力进行数值分析,将所得结果与试验结果进行对比,并将由循环载荷引起的塑性累积和疲劳裂纹扩展均考虑在内。通过数值分析和试验研究得到板上裂纹长度、筋上裂纹长度、疲劳损伤因子、裂纹张开位移和挠度,分析发现这些参数（尤其是裂纹长度）对轴向循环载荷下裂纹板和加筋板的极限强度有一定影响。     

极地低温和凹陷损伤下加筋板极限强度的参数敏感性分析

为了快速评估含船冰碰撞凹陷损伤下加筋板在轴向压缩载荷作用下的极限强度，本文采用非线性有限元法对低温凹陷损伤加筋板的极限强度进行研究。根据EH36钢在低温下的材料力学性能试验，通过折减因子评估法，基于完整加筋板在轴向压缩下极限强度的经验公式，提出以加筋板柔度和加筋板壳板柔度为变化参数，采用最小二乘法拟合折减系数，得到低温含凹陷损伤加筋板剩余极限强度的经验公式。结果表明，相比于凹陷长度和凹陷深度，凹陷宽度对加筋板极限强度的影响较大；对比分析凹陷损伤加筋板极限强度的经验公式和有限元法的计算结果，误差较小，验证了船冰碰撞凹陷损伤下加筋板的极限强度快速评估方法的准确性。     

极地小型邮轮加筋板结构冗余度试验研究

以极地小型邮轮加筋板结构为研究对象,设计并制作典型加筋板缩比模型,开展完整结构和损伤结构的轴向压缩极限强度试验研究,揭示完整结构和损伤结构下,主甲板板架结构的极限承载能力和屈曲失效模式,并基于全船结构强度有限元方法,计算主甲板板架完整结构和损伤结构的应力,进行了主甲板板架结构冗余度评估。研究发现：轴向压缩载荷作用下,单独一根加强筋出现局部损伤会小幅度降低加筋板结构的极限承载能力;加筋板完整结构和损伤结构屈曲破坏模式均为加强筋率先破坏引起整个板架结构屈曲破坏;单独一根加强筋的损伤不会引起极地小型邮轮加筋板结构的连续性垮塌,具有良好的结构冗余。研究结果对极地小型邮轮结构设计和冗余度研究具有一定参考价值。     

循环载荷混合作用下加筋板格极限强度的研究

通过采用非线性有限元软件ABAQUS进行循环载荷作用下加筋板格的极限强度研究,获得循环载荷作用下加筋板结构中残余应力、侧向荷载、随动强化及循环应变幅混合作用对极限强度的影响规律。数值结果显示:加筋板在0.16 MPa侧压、15%残余压应力、3.2倍屈服应变幅下,循环4次后的极限强度下降达39%,这表明循环载荷混合作用对极限强度的影响是不可忽视的。该研究成果对于进一步理解和研究船体梁在循环载荷作用下的递增塑性破坏的机理具有一定的理论价值和实用价值。     

循环荷载作用下饱和软粘土累积变形研究

在天津滨海饱和重塑软粘土不排水循环三轴试验的基础上,分析了不同静、动应力组合影响下软粘土的累积变形规律。基于静蠕变理论,提出一种长期循环荷载作用下饱和软粘土轴向循环累积塑性应变经验模型,其中,用双曲线函数来表示软粘土轴向累积应变与循环次数的关系,用指数函数来表示累积应变与相对偏应力水平的关系。以有限元软件ABAQUS为平台进行二次开发,通过用户子程序CREEP将该模型嵌入有限元数值模型中,并利用室内三轴不排水循环蠕变的试验结果对本文经验模型的数值计算结果进行验证。最后,将该数值计算模型应用到防波堤工程实例中,分析了软土地基的循环累积变形的变化规律。研究成果可为软粘土地基上港口与海岸水工建筑物的设计提供参考。     

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。     

循环荷载作用下淤泥质黏土软化试验研究

针对连云港地区淤泥质黏土颗粒细、渗透系数小的特点,研究了循环荷载作用下土体的软化规律,提出该类土体软化指标.通过三轴循环荷载试验,得到累积轴向应变值和轴向应变值随着循环应力幅值比和固结压力的增大而增大;土样中平均孔压比随着循环应力幅值比的增大而增大;循环荷载的周期越大累积轴向应变和平均孔压值越大;在循环荷载作用初期,变形模量的弱化随着循环应力幅值比和循环周数的增大而更加显著.对试验数据进行分析,得出在风暴潮的波浪循环荷载作用下,连云港地区淤泥质黏土的模量和强度折减系数在0.75~0.80之间.     

多次水下爆炸下背空加筋板损伤累积特性研究

为了评估舰船结构在水下多次爆炸冲击下抗爆抗冲击性能,采用Abaqus非线性有限元软件建立了固支背空钢板结构水下爆炸冲击数值模型,数值计算结果与文献实验结果吻合较好,验证了水下爆炸声-固耦合方法的可靠性。在此基础上,提出了多次水下爆炸冲击声-固耦合数值模拟方法,研究了多次水下爆炸冲击下典型背空加筋板损伤累积特性与损伤模式演化规律,分析了冲击因子对结构损伤特性的影响。结果表明,多次水下爆炸冲击作用下背空加筋板动态变形与损伤逐渐累积,可能发生塑性大变形、边界拉伸撕裂以及整体失效破坏等损伤模式演化。当冲击因子小于某一阈值时,背空加筋板多次水下爆炸冲击下塑性变形趋于稳定,出现伪安定现象。研究结果可为舰船结构抗爆抗冲击设计提供参考。     

侧向载荷作用下的T型加筋板梁柱屈曲载荷-端缩曲线修正

加筋板单元的载荷-端缩曲线是影响Smith法计算精度的重要因素,而目前HCSR规定的载荷-端缩曲线尚未考虑侧向载荷的作用。为了计入侧向载荷对加筋板单元载荷-端缩曲线的影响,拓宽Smith法的适用范围,采用非线性有限元法,计算192个具有梁柱屈曲破坏模式的T型加筋板单元,在纵向压缩载荷和侧向载荷作用下的极限强度。通过回归分析,得出在侧向载荷和纵向压缩载荷联合作用下,T型加筋板单元在梁柱屈曲模式下的载荷-端缩曲线修正公式。对8个T型加筋板模型分别采用修正公式和非线性有限元法计算结构的临界应力和临界应变,2种计算方法结果相对误差小于10%,验证了修正公式的有效性。     

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。     

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.     

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.     

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.     

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.     

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。     

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.     

肋骨侧向稳定性特征屈曲有限元分析

环肋圆柱壳通常在周向布置肋骨来提高其稳定性,在深水压力作用下,肋骨发生侧向失稳的可能性加大,进而影响环肋圆柱壳的整体稳定性。在理论分析的基础上,采用有限元法对环肋圆柱壳进行在静水压力和轴向压力作用下的特征屈曲分析,研究肋骨侧向失稳的屈曲特征,得到肋骨侧向失稳的判别方法,为工程设计提供参考。     

Structural-acoustic optimization of stiffened panels based on a genetic algorithm

For the structural-acoustic radiation optimization problem under external loading,acoustic radiation power was considered to be an objective function in the optimization method. The finite element method(FEM) and boundary element method(BEM) were adopted in numerical calculations,and structural response and the acoustic response were assumed to be de-coupled in the analysis. A genetic algorithm was used as the strategy in optimization. In order to build the relational expression of the pressure objective function and the power objective function,the enveloping surface model was used to evaluate pressure in the acoustic domain. By taking the stiffened panel structural-acoustic optimization problem as an example,the acoustic power and field pressure after optimized was compared. Optimization results prove that this method is reasonable and effective.     

Ultimate strength design of stiffened plates under axial compression and bending

The basis for design of stiffened plates under longitudinal compression is outlined and predictions using several codes are compared against numerical results from an inelastic beam-column formulation and test results. In order to explore the inherent differences in column behaviour separately from discrepancies arising due to plate panel behaviour, the code predictions are re-evaluated adopting a common plate panel effective width formulation. On this basis, a critical review of code methods is made and some modifications are proposed.

The effect of the magnitude and direction of applied uniform bending on the axial capacity of stiffened plates is investigated by comparing two alternative design approaches, namely an interaction equation and a method based on the Perry equation, against results from numerical analyses and from rigid plastic theory. The interaction equation is invariably more conservative than the Perry approach but its simplicity tends to be convenient for routine design applications. Finally, results of numerical analyses, together with experimental results from previous studies, on continuous stiffened plates under combined axial compression and lateral pressure are presented and available design guidance is discussed.