Dynamic plastic response of clamped stiffened plates with large deflection

Study on the dynamic response, and especially the nonlinear dynamic response of stiffened plates is complicated by their discontinuity and inhomogeneity. The finite element method （FEM） and the finite strip method are usually adopted in their analysis. Although many useful conclusions have been obtained, the computational cost is enormous. Based on some assumptions, the dynamic plastic response of clamped stiffened plates with large deflections was theoretically investigated herein by a singly symmetric beam model. Firstly, the deflection conditions that a plastic string must satisfy were obtained by the linearized moment-axial force interaction curve for singly symmetric cross sections and the associated plastic flow rule. Secondly, the possible motion mechanisms of the beam under different load intensity were analysed in detail. For structures with plastic deformations, a simplified method was then given that the arbitrary impact load can be replaced equivalently by a rectangular pulse. Finally, to confirm the validity of the proposed method, the dynamic plastic response of a one-way stiffened plate with four fully clamped edges was calculated. The theoretical results were in good agreement with those of FEM. It indicates that the present calculation model is easy and feasible, and the equivalent substitution of load almost has no influence on the final deflection.     

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。     

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.     

船体结构总纵极限强度的简化逐步破坏分析方法

本文基于Smith方法,应用梁-柱理论、理想弹塑性假设、平截面假设和塑性铰理论建立了加筋板单元的应力-应变关系曲线,导出了船体结构总纵极限强度的简化逐步破坏分析方法并编制成FORTRAN计算程序.应用作者导出的简化逐步破坏分析方法分析计算了Reckling 23号模型总纵极限强度.计算结果表明,本文导出的简化逐步破坏分析方法和计算程序正确可靠,可供船体结构设计和使用.本文还对船体结构总纵极限强度的影响因素进行了分析,其中包括加筋板单元的载荷-缩短行为、横向压力、材料屈服强度和腐蚀等.     

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。     

水下冲击波作用下大缩比异化模型的数值模拟

以双层加肋圆柱壳结构为模型,采用数值方法对结构在水下爆炸冲击载荷作用下的动响应相似性进行研究,在完全几何相似的条件下,在弹性范围内,应用相似规律可将模型实验的结果推广到原型。但由于所有构件尺寸都按同一比例作几何相似,尤其是大缩比时,将导致某些构件(如型材等)的尺寸过小,模型实际建造难以实现,为此,将相似模型作为基础标准形式,根据实际情况对模型进行一定程度的变异,并分别采用了材料等效法和摊板厚法对相似模型进行变异。研究结果表明:材料等效法能较好地通过变异模型反映相似模型结构振动响应特性,但不适合模拟相似模型结构的应力变化;摊板厚法简单易实施,但由于变异模型局部刚度与真实情况不同,将导致实验结果误差过大。     

On the use of the autocorrelation function to identify the damage in the side shell of a ship''s hull

When structural damage occurs, the dynamic characteristics of the structure changes correspondingly. This can be used to detect damage occurrence. In this paper, an autocorrelation function was utilized to identify damage in the side shell of ship structures using a combination of experimental and numerical studies. A stiffened plate was used to model the side shell of a ship structure. The damage was simulated by a cut in the longitudinal near the transverse member. The cut was made using a hacksaw. An experimental study using modal testing methods was carried out to measure the random response time history of the undamaged and damaged stiffened plate model. The random response time history was used to obtain its autocorrelation function and its random decrement signature. The autocorrelation function was then compared with the random decrement signature. Finite element models were developed for the stiffened plate, in the undamaged and damaged conditions. The random responses of the model were used to obtain the autocorrelation functions. The autocorrelation functions obtained numerically were compared to the ones obtained experimentally. The results indicate that the autocorrelation functions can be used to identify the occurrence of damage in the stiffened plate model.     

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。     

冲击载荷下加筋板非线性瞬态分析

本文用半解析的方法分析了横向冲击载荷下加筋板的非线性瞬态响应。考虑膜力的存在，忽略筋截面上的剪切应力，引入板的应力函数，采用离散加筋板模型，运用能量原理建立加筋板的动响应控制方程。假设挠度为双级数形式，运用迦辽金法，将加筋板的动响应方程转化为一个多自由度的动力系统，采用数值方法来求解。本文最后给出了几个模型的计算结果。     

加筋板结构在水下爆炸冲击波作用下动态响应的近似相似方法研究

提出了同时考虑流固耦合和材料应变率强化效应时,加筋板结构在水下爆炸冲击波作用下动态响应的相似条件.在此基础上,提出了该问题的近似相似方法.该方法通过在模型和原型之间建立一个修正模型,达到利用修正模型的冲击响应近似预报原型响应的目的.最后提出了利用缩比模型试验预报原型冲击塑性变形的模型化试验方法.文中结论可用于指导利用模型试验预报船体局部板架在水下爆炸冲击波作用下动态响应.     

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。     

Coarse mesh finite element model for cruise ship global and local vibration analysis

This paper presents a practical procedure for creating finite element (FE) model for vibration analysis of cruise ships. The most preferable FE modelling approaches are studied and discussed through case studies of common ship structures, which cover the range from low to high frequencies. The application of homogenized equivalent single layer (ESL) theory based equivalent element for stiffened panel is extended to local forced vibration analysis, where inertia induced interaction between plate and stiffener occurs. Modal method is used with an energy-based correction for accounting the plate-stiffener interaction into modal properties. Case study results reveal that mesh density of one 4-node element per web frame spacing is suitable for global FE-model when vibration analysis is limited to global hull girder modes. For such modes it is sufficient to only include the membrane stiffness of stiffened panels. For investigating the response at higher frequencies, bending properties of stiffened panel should be included and mesh density should be at least two elements per web frame spacing. Then forced vibration analysis can be performed with an excellent accuracy up to frequencies about one third of the local plate natural frequencies between the stiffeners. Beyond that, the influence of the local plate vibration becomes more significant in panel vibration, making the ESL-theory based element limited. With the applied correction method, the validity of the ESL-model can be extended to approximately two thirds of the local plate natural frequency.     

破片侵彻作用下的波纹夹层板横舱壁结构响应分析

主流大型舰船的横舱壁结构以加筋板型式为主,但加筋板受制于其单层结构特点,较难提出新的设计。设计一种波纹夹层板,将其应用于大型舰船的横舱壁结构。采用有限元软件建立简化数值模型,研究在高速破片侵彻作用下的波纹夹层板横舱壁结构动态响应和破坏机理,并与传统单层加筋板横舱壁结构进行比较。结果表明,应用波纹夹层板,横舱壁结构的抗侵彻性能有明显提升。     

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.     

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。     

水下爆炸数值模拟联合算法求解结构稳态响应

在研究水下爆炸作用下加筋板架的稳态响应方面,以往的研究主要利用瞬态显式算法,得到的稳态响应结果存在一定的精度缺陷。提出一种改进的水下爆炸数值模拟方法。该方法利用ABAQUS/Explicit Standard算法,针对瞬态显式与稳态隐式静力分析,建立联合数值模拟方法。利用该方法分析某船体加筋板架的“瞬态稳态”响应。结果表明:联合“瞬态显式稳态隐式”算法的仿真结果与试验结果相差在10%以内,说明该方法可用于水下爆炸作用下加筋板架结构的响应分析,且采用联合“显式隐式”算法得到的结果更接近试验值,误差降低了39.8%。     

填充超弹性材料夹层板的抗爆性能研究

夹层板是一种比刚度大、比强度高的结构形式,根据文献将典型加筋板等效为最优夹层板,采用非线性数值方法,对爆炸冲击波作用下方形蜂窝夹层板及填充超弹性材料的方形蜂窝夹层板响应进行数值计算,分析填充超弹性材料夹层对夹层板各部位加速度、速度及位移响应的影响,对比不同爆距下夹层板响应,并分析填充超弹性材料对夹层板吸能的影响。从计算结果可知填充超弹性材料可有效减小爆炸载荷作用下夹层板的响应,减小夹层板面、背板间相对变形。     

结构动态稳定性数值模拟研究

采用有限元方法计算了加筋板在流固冲击下的动态稳定性,研究的目的是对舱壁结构受水下爆炸冲击时的动态稳定性提供参考和依据.详细分析了影响加筋结构动态屈曲的各种因素:加筋与筋的厚度、初始几何缺陷的形式与大小、冲击载荷的脉宽和幅值、边界条件、筋的分布以及板的厚度.在分析研究的基础上提出了改善加筋板抗失稳的方法,以利于工程设计中具体应用.     

填充超弹性材料夹层板的抗爆性能研究

夹层板是一种比刚度大、比强度高的结构形式,根据文献将典型加筋板等效为最优夹层板,采用非线性数值方法,对爆炸冲击波作用下方形蜂窝夹层板及填充超弹性材料的方形蜂窝夹层板响应进行数值计算,分析填充超弹性材料夹层对夹层板各部位加速度、速度及位移响应的影响,对比不同爆距下夹层板响应,并分析填充超弹性材料对夹层板吸能的影响。从计算结果可知填充超弹性材料可有效减小爆炸载荷作用下夹层板的响应,减小夹层板面、背板间相对变形。     

用粘弹性梁控制加筋板稳态简谐响应的研究

应用模态叠加法研究了以粘弹性梁为阻尼处理的加筋板的稳态简谐响应。在分析中，板和梁均采用每个结点三个自由度的有限元，考虑了梁的偏心作用。以结构幅频特性曲线的方式来研究粘弹性梁阻尼处理对结构响应的控制作用，分析了阻尼材料杨氏模量实部、损耗因子和粘弹性梁剖面尺寸对结构响应的影响。结果表明，粘弹性材料能够有效地控制结构的共振响应。粘弹性梁阻尼处理仅对某些结点和模态起的作用较大，将其与其他阻尼敷设形式合理配置，相信会起到良好的减振效果。