Development of a rigid-ended beam element for analysis of bracketed frame structures

At the initial design stage, for rapid evaluation of strength of ship structures, finite element analysis using beam elements is carried out as a rule. In beam modeling of ship structures, brackets are usually represented by rigid elements to simplify the analysis. The extent of rigid ends, which is called the span point, can be determined from the three kinds of view points, i.e., bending, shearing and axial deformation.

In this paper, a novel beam element is developed. The developed novel beam element, referred to as the rigid-ended beam element, can consider the effect of three kinds of span point within one element, which was impossible in modeling with the ordinary beam element. Calculated results agree with the exact solution for a cantilever beam and also with results obtained from finite element analysis using membrane elements. Structural analysis using the rigid-ended beam element is revealed to have good computing efficiency due to the elements not needing to correspond to the brackets.     

梯形载荷作用下功能梯度简支梁弯曲的解析解

基于应力函数法,对梯形分布载荷作用下、材料属性在厚度上任意变化的功能梯度简支梁弯曲问题的解析解进行了研究。首先引入了一个应力函数,根据平面应力问题的基本方程,得出了功能梯度梁的应力函数应满足的偏微分方程,并根据应力边界条件得出了应力函数及各向应力的表达式;进而根据功能梯度材料的本构方程和位移边界条件,得出了各向应变与位移的显式解析表达式。在算例中,分别采用文中方法和经典理论对均质各向同性梁进行求解,验证了文中方法的正确性;并求解了材料组分呈幂律分布的功能梯度梁的应力和位移分布,分析了上下表层材料的弹性模量比λ与组分材料体积分数指数 n 对应力和位移分布的影响。     

A theory of coupled beams for strength assessment of passenger ships

This paper describes a coupled beam method, which estimates elastic response in the longitudinal bending of a passenger ship with a large multi-deck superstructure. The method can be applied during an early project stage, when detailed three-dimensional finite element modelling is not yet possible. The theory is based on the assumption that each deck in the superstructure and also the main hull can be considered as a thin-walled beam. These beams are coupled to adjacent beams with springs modelling vertical and shear stiffness. The shear effect in the side and deck structures is included with options for large openings. As a result, the method allows for the calculation of the normal stresses and vertical deflections in the arbitrary location of the hull girder. Average longitudinal displacements of deck structures and shear stresses in the side structures can be estimated as well. Simplified structures were analysed in order to validate the coupled beam method against the three-dimensional finite element method.     

Prediction of Hull Deflection on Damaged Warship

The appropriate prediction of the hull deflection of a severely damaged warship is an important area in the research of the warship survivability. In this paper, the asymmetrical beam bending theory is applied to set up the damaged model, a comparison of the longitudinal strength, the deflections of damaged hull subjected to both hagging and sagging moments, and shear forces is carried out. The external loads are also calculated according to different damaged positions. Finally, some results and conclusions are obtained.     

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。     

钢夹层板数值模拟技术(英文)

Sandwich plate systems (SPS) are advanced materials that have begun to receive extensive attention in naval architecture and ocean engineering. At present, according to the rules of classification societies, a mixture of shell and solid elements are required to simulate an SPS. Based on the principle of stiffness decomposition, a new numerical simulation method for shell elements was proposed. In accordance with the principle of stiffness decomposition, the total stiffness can be decomposed into the bending stiffness and shear stiffness. Displacement and stress response related to bending stiffness was calculated with the laminated shell element. Displacement and stress response due to shear was calculated by use of a computational code write by FORTRAN language. Then the total displacement and stress response for the SPS was obtained by adding together these two parts of total displacement and stress. Finally, a rectangular SPS plate and a double-bottom structure were used for a simulation. The results show that the deflection simulated by the elements proposed in the paper is larger than the same simulated by solid elements and the analytical solution according to Hoff theory and approximate to the same simulated by the mixture of shell-solid elements, and the stress simulated by the elements proposed in the paper is approximate to the other simulating methods. So compared with calculations based on a mixture of shell and solid elements, the numerical simulation method given in the paper is more efficient and easier to do.     

横向载荷作用下夹层梁力学性能分析

在经典的梁弯曲理论基础上,通过对横向载荷作用下的夹层梁微元的受力分析,建立了夹层梁的力平衡方程和各层之间的变形协调方程,用解析的方法求出了表层正应力和层间剪应力表达式,并与三维有限元计算结果进行了比较,应力值的大小和分布都吻合较好.另外,还应用上述的解析法,讨论了夹芯的剪切模量、厚度对夹层梁抗弯刚度和层间剪应力的影响.     

船体梁抗弯能力的计算

在船舶纵弯曲强度的可靠性分析中,需要计算船体梁的抗弯能力,本文提供一种实用计算方法。在此方法中取材料厚度(或剖面积)和屈服限、弹性模量等均为随机变量,利用随机函数的线性化原理,求得船体断面几何要素以及抗弯能力的统计特征值。文中还介绍了国产船用钢材的厚度和屈服极限的变异系数,并利用组合梁模型试验资料对采用梁模型带来的计算误差及其修正办法作了讨论。该计算方法采用了造船人员熟悉的常规强度计算中的格式,便于在船舶设计中应用。     

具有初始挠度的板架结构承载特性分析

为探讨具有初始挠度的板架结构轴向受压时的承载特性,本文采用MSC.Nastran建立了具有初始挠度的板架结构模型,分析了初始挠度及其大小对结构的影响,根据应力等效原理拟合了挠曲板架结构轴向受压时的相当面积公式。结果表明,随着初始挠度的增加,板架主要变形方式逐渐由压缩转换为弯曲,其承载能力大幅下降;初始挠度越大,板架承载能力越弱;相当面积折减系数随着初始挠度的增加呈现先缓慢减小随后迅速降低最终平减小的变化趋势,结构中横向(垂直于轴向)应力随着初始挠度的增加不断增大。     

加筋板的大挠度塑性动力响应研究

对加筋板的大挠度塑性动力响应进行了理论研究,应用单轴对称截面的线性化轴力-弯矩交互作用曲线和相关联的塑性流动法则推出了梁达到塑性弦状态所应满足的挠度条件.此外,详细地分析了梁在不同载荷情况下可能的运动模式.最后应用本文理论和有限元软件ANSYS、ABAQUS/Explicit对四边固支单向加筋板结构进行了求解.     

合拢弯矩作用下复合材料曲梁突变屈曲的研究

研究了复合材料曲梁在受到合拢弯矩作用下发生的屈曲情况,并给出一种理论解析方法来分析这种很可能发生在复合材料弯曲结构中的脱层耦合屈曲问题.该方法是基于曲梁大变形理论及断裂力学而提出来的.文中并用该解析方法分析了一个特定的常见的情况,在该题例中脱层发生在非常靠近内表面处并且突变屈曲就发生在该薄脱层.在文中也对脱层裂纹的弧角对极限载荷的影响进行了研究.     

Application of analytical model in the prediction of dynamic responses and fatigue damage of flexible risers: Part II – Dynamic analysis of flexible risers in large-scale domain using a direct moment correction method

In recent years, the dynamic responses of flexible risers have been the focus of many researchers. Most flexible risers undergo a substantial level of irregular motion from environmental loadings, which involves a continuous slip of helical wires. The slip of helical wires especially leads to a hysteretic effect by reducing the bending stiffness, making it hard to predict the dynamic responses of flexible risers. The current study, as an extension to Part I, presents a new large-scale dynamic analysis method for flexible risers. The suggested method creates a large-scale model for the dynamic analysis that considers a geometric and bending nonlinearity of flexible risers. The kinematics of each beam element is formulated based on a Green-Lagrangian strain and the interaction with the seabed, providing a realistic analysis of flexible risers. In particular, the current study introduces a direct moment correction method that modifies the internal force vector using an improved analytical model. The improved analytical model is assigned at each node of the large-scale model and estimates an accurate bending hysteresis curve considering the effect of shear deformation and varying tension. The suggested method corrects the bending moment and shear force of all beam elements based on the bending hysteresis curves obtained from the improved analytical model, by which a complex bending behavior of flexible risers is reflected in a large-scale domain. As a result, this study achieves a more accurate prediction of the dynamic responses and fatigue damage of flexible risers. A new dynamic analysis program, called OPFLEX, is developed herein based on the suggested analysis method. Using the developed program, the current study conducts several numerical investigations to identify the effect of the shear deformation and varying tension. Consequently, it is confirmed that the shear deformation of internal layers reduces the fatigue damage of helical wires by delaying the increase of internal stress. It is also identified that the effect of varying tension deteriorates the fatigue life of flexible risers through a continuous change of contact pressure during bending.     

无粘结柔性管抗拉伸层结构分析

柔性管抗拉伸层是复杂的空间螺旋线结构,其结构响应分析对柔性管疲劳分析、强度分析和屈曲分析有重要作用。文章基于曲梁理论,应用斜驶螺旋线假设和测地线假设两种空间曲线公式,以空间细长杆理论及胡克定律本构方程为基础,采用格林应变张量与第二Kirchoff应力张量度量,对深海无粘结柔性管抗拉伸层螺旋形钢缆结构平衡方程进行了推导,编写了分析程序。利用该程序,分析了抗拉伸层钢缆在轴对称载荷下和弯矩作用下的曲率变化和结构响应;同时利用三维直梁有限元模型与曲梁有限元模型建立数值模型,将程序结果与数值模拟模型结果进行了对比,证明了结果可行性。该结果可为柔性管抗拉伸层结构设计提供快速的预估计方法。     

船体破损后外载荷与船体极限弯矩

基于船舶不沉性理论，运用符拉索夫抗沉性计算法确定船舶破损后浮态参数之后，作出波浪上船舶破损浮力曲线，继而计算了波浪弯矩和波浪剪力；并用非对称梁弯曲理论建立了破损模型，将外载荷与破口联系在一起研究了破损船舶极限弯矩，通过实例计算得出了预想结果。     

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.     

三维水弹性力学中的结构广义质量计算

该文给出了三维水弹性力学中弹性模态位移振型归一化时广义质量的计算方法，并应用三维有限元方法计算了箱式大型浮体结构的固有频率和广质量，经与均匀梁解析解的比较表明，两种方法差异不大，因此，采用均匀染解析解来计算这种结构的固有频率和广义质量是完全可行的，简化了计算工作。     

改进随机森林-蒙特卡罗法在A型液舱支座结构可靠性分析中的应用

[目的]随着液化天然气(LNG)船舶结构研究和设计深度的提高,需要有能够快速和准确地评估不确定性因素的可靠性分析方法。为此,提出基于改进随机森林-蒙特卡罗(RF-MC)法来解决A型独立液舱支座结构失效概率的计算问题。[方法]首先,根据不确定性因素的概率分布,使用MC法生成样本集;然后,以局部离群因子为准则,筛选出失效面附近的样本点,再对筛选出的样本点进行有限元计算后添加至训练集,通过重复训练随机森林近似模型,直至满足精度要求;最后,使用近似模型判别样本点是否失效,结合MC法计算结构的失效概率。[结果]综合考虑算法的准确率、复杂度和效率并结合算例1和2,可以发现在分析可靠性问题时改进RF-MC法比MC和BP-MC等方法具有更大优势。算例3的应用结果表明了改进RFMC法在A型独立液舱支座结构可靠性分析中的适用性。[结论]研究结果可为LNG船舶的优化设计提供可行的技术方案。     

无加筋平板极限强度的简化解析法与规范公式的比较

无加筋板是船舶结构的主要构件之一，船舶结构强度校核的一项重要内容就是校核各平板单元是否具备足够的强度储备。最近几年，作者们采用弹性大挠度理论和刚塑性分析相结合的简化解析方法，曾给出了板和加筋板格在联合载荷作用下的极限强度计算公式，并与部分实验值相比，吻合较好，但没有与目前船级社所采用的规范计算公式作过比较。现作这一比较工作，也包括与有限元分析的比较；同时对以前所开发的简化解析法又作了进一步的改进，文章报道这一改进结果。最后，采用上述三种方法，对影响平板极限强度的几个主要参数进行了研究，结果表明，简化解析法与规范计算公式吻合较好。     

FEM approach to the simulation of collision and grounding damage

Recently, finite element detailed simulations of collision and grounding damage to the hull structures have been practicable. For example, rigid body motions and non-linear structural responses can be calculated by a desk-top engineering workstation within a CPU time of one week, employing finite element models assembled by more than 700,000 elements. Although considerable preparatory man-power is required and the accuracy of the results is still open for further improvement, finite element method approach is the most powerful way at present. On the other hand, simplified analytical approach is suited for a series of qualitative survey, however, it tends to be erroneous when the subject is varying from the fundamental assumptions laid originally for the specific case. The present paper points out several uncertain factors involved in the typical simplified analytical approach such as hull girder bending, forward velocity of a collided ship, etc., that may affect the crashworthiness significantly.     

基于有限元分析的MSS45移动模架造桥机预压试验研究

为了确认MSS45造桥机在施工过程中的安全可靠性以及为合理设置预拱度提供依据,需要在施工前进行预压试验。根据对MSS45造桥机的有限元分析结果,确定了造桥机各部位应力特征点及主梁挠度测点位置。试验结果表明,各测点的理论值与实测值较接近,造桥机安全可靠。