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.     

加筋薄板简化方式对船体总振动影响的研究

以单向加筋板为主要研究对象,结合正交异性板理论和等效板厚理论提出了适用于振动分析的等效厚度正交异性板简化方法,并与常用的简化方法进行了比较。推导了3种简化方法下的加筋板固有频率的解析公式,并计算了四边简支单向加筋板固有频率。结果表明：本文提出的简化方法在求取单向加筋板低阶固有频率时计算结果与有限元结果前五阶误差在15%以内。文中应用该简化方法计算了一船体梁的固有频率,通过对船体梁甲板的加强筋结构进行简化,将模型总单元数降至原模型的27.6%,采用本文方法计算得到的船体梁垂向前三阶和扭转一阶振动频率优于传统的正交异性板简化方法,较原模型偏差在2.2%以内。说明等效厚度正交异性板简化方法在特定工程领域是可用的,且此法相较之前的方法有一定程度的改进,对相关研究和工程计算具有一定参考价值。     

船舶板梁组合结构的振动分析

采用Ｍｉｎｄｌｉｎ板单元和参考轴杆单元,建立了考虑板剪切变形、骨架剪切变形和骨架偏心影响的船舶板梁组合结构振动分析模型,并研究比较了不同船舶板梁组合结构振动分析有限元模型的计算精度。最后通过对某舱室甲板固有频率计算值和实测值的比较,讨论了船舶局部结构振动分析中边界条件处理问题。     

基于梁板结构的船舶系统可靠性分析及其优化

采用梁元和加筋板格元来模拟船舶空间结构,并建立相应的系统可靠性分析与优化模型。针对加筋板格可靠性分析中计算反向结点力向量时忽略加强筋影响而导致计算结果偏于保守的缺点,采用了完整加筋板格元的反向结点力向量和修正刚度矩阵,在此基础上采用分支限界法搜索系统主要失效模式并对其提出改进措施,保证了计算精度并提高了计算效率;运用界限搜索法求解模糊约束集的最优水平截集,进而求得系统可靠性约束下结构质量的模糊最优解,并与确定性优化设计结果对比,结果显示模糊优化模型具有更好的经济效益,可供工程借鉴使用。     

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.     

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。     

含损伤加筋板结构声辐射模态变异研究

本文采用声辐射模态的有关理论,用结构的声辐射模态参数来表征结构本身的固有声辐射特性.以加筋板结构为例,计算不同加筋情况和结构不同损伤情况下的声辐射模态.基于Mindlin理论,建立描述健康和损伤的四结点有限元板壳单元模型,采用有限元方法计算结构表面动力响应.各向同性损伤单元,采取刚度各向整体弱化的方法分析;对于各向异性损伤单元,采用K8chanov理论,引人了x和y两个方向的弹性损伤折减系数.考虑到不同损伤存在形式,计算分析了损伤对振动频率、模态以及声辐射模态的影响.文章建立了一种含损伤结构的分析方法,通过对一些典型算例分析,在评价损伤对船舶与海洋结构物常用的加筋结构声辐射特性影响方面做出了一定的探索.     

加筋板穿透数值仿真中网格尺寸对失效应变的影响分析研究

运用数值仿真分析碰撞过程时,基于最大等效塑性应变失效准则确定的材料失效应变取值与网格尺寸具有明显的依赖关系,因此,研究碰撞载荷下加筋板网格尺寸对失效应变取值的影响对于评估加筋板架的耐撞性及开展耐撞性结构设计具有重要意义。文中基于LS-DYNA非线性有限元分析软件对光板及加筋板穿透过程分别进行仿真分析,以国外学者相应准静态穿透试验的结果为参照,探讨了加筋板与光板的有限元网格尺寸和失效应变之间的关系,同时对是否有必要考虑骨材与板壳之间的焊缝进行了探究。研究表明:加筋板与光板的失效应变取值存在明显的差异,确定加筋板材料失效应变取值时,应优先参考适用于加筋板网格尺寸与失效应变取值的关系曲线;在决定是否考虑加筋板结构中的焊缝时需要结合网格尺寸与焊缝等效单元的相对大小进行判断。     

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%。     

含损伤加筋板结构辐射声功率及指向性变异研究

本文采用结构声振特性中常用参数辐射声功率和辐射指向性来研究含损伤加筋结构的声辐射特性,计算不同加筋情况和结构不同损伤情况下的辐射声功率和远场指向性.基于Mindlin理论,建立描述健康和损伤的四结点有限元板壳单元模型,采用有限元方法计算结构表面动力响应.针对各向同性损伤单元,采取刚度各向整体弱化的方法分析;对于各向异性损伤单元,采用Kachanov理论,引入了x和y两个方向的弹性损伤折减系数.根据Rayleigh积分可以计算结构振动向外辐射的声压,进而可以得到辐射声功率和辐射指向性.考虑到不同损伤存在形式,计算分析了损伤对振动频率、模态以及辐射声功率和指向性的影响.文章建立了一种含损结构的分析方法,通过对一些典型算例分析,在评价损伤对船舶与海洋结构物常用的加筋结构声辐射特性影响方面做出了一定的探索.     

单向加筋板低频振动的简化建模精度影响因素

针对典型单向加筋板结构的低频振动问题,基于薄板弯曲理论,得到等效正交异性板计算公式,通过与有限元计算结果比较验证计算公式的正确性。分析质量等效、弯曲刚度等效与结构参数对简化方法精度的影响规律,并通过附加弯曲刚度比对筋条截面高度、筋条数量和基板厚度等3项结构参数进行定量比较分析,对简化方法的适用范围产生量化认识,为加筋板简化建模的应用场景提供参考性建议。     

Free and forced vibration analyses of ship structures using the finite element method

With increases in ship size and speed, shipboard vibration becomes a significant concern in the design and construction of vessels. Excessive ship vibration is to be avoided for passenger comfort and crew habitability. In addition to the undesired effects on humans, excessive ship vibration may result in the fatigue failure of local structural members or malfunctioning of machinery and equipment. The propeller induces fluctuating pressure on the surface of the hull, which induces vibration in the hull structure. These pressure pulses acting on the ship hull surface above the propeller are the predominant factor for vibrations of ship structures are taken as excitation forces for forced vibration analysis. Ship structures are complex and may be analyzed after idealization of the structure. Several simplifying assumptions are made in the finite element idealization of the hull structure. In this study, a three-dimensional finite element model representing the entire ship hull, including the deckhouse and machinery propulsion system, has been developed using solid modeling software for local and global vibration analyses. Vibration analyses have been conducted under two conditions: free–free (dry) and in-water (wet). The wet analysis has been implemented using acoustic elements. The total damping associated with overall ship hull structure vibration has been considered as a combination of the several damping components. As a result of the global ship free vibration analysis, global natural frequencies and mode shapes have been determined. Moreover, the responses of local ship structures have been determined as a result of the propeller-induced forced vibration analysis.     

基于连续小波变换的加筋板结构焊接裂纹检测(英文)

研究了如何使用连续小波变换工具来对加筋板结构的焊接裂纹进行检测.首先分析了裂纹对于板在焊缝位置的振动模态造成的影响,用有限元法求得含有不同长度焊接裂纹的加筋板结构的振动模态.然后对焊缝处板的振动模态信号进行连续小波变换,根据小波系数的极值判断裂纹位置和裂纹长度.研究结果表明,当裂纹很短时,其位置也可以很容易地被确定;而且当裂纹扩展到一定程度时,其长度也可以被检测出来.     

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.     

高速船尾部喷水推进局部振动分析

针对高速船尾部采用喷水推进装置的局部振动问题,建立了船体尾部包含喷水推进泵的有限元模型。考虑附连水质量的影响,将船体尾部离散成甲板,底板,喷水推进泵,尾板等局部结构,采用规范经验公式估算以及有限元分析的方法分别对各局部结构的板、板格、板架进行固有频率计算,将其结果与轴频和叶频激励频率进行储备频率校核,判断尾部采用喷水推进装置在振动问题上是否满足规范标准,并为下一步的船体设计提供参考。     

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。     

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。     

加筋板的双重非线性分析

本文综合工程实际的需要,对船体加筋板结构进行了双重非线性有限元分析。采用Prandtl-Reuss流动理论,具体导出了加筋板在双重非线性状态下理想弹-塑性和强化材料的单元刚度矩阵;用增量切线刚度法-迭代法相结合的混合解法来提高求解精度;对单剛、等效节点力的计算,均采用Gauss积分法和进行分层精度判别来节约机时和内存。     

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.