初始缺陷加筋板的屈曲与后屈曲分析

本文分析了加筋板非线性屈曲与后屈曲，采用离散加筋板模型。考虑初始缺陷的存在，忽略筋截面上的剪切应力，引入板和筋的应力函数，得到加筋板的非线性控制方程，假设挠度和初始缺陷为双级数形式，最后运用迦辽金方法求解。     

面内流固冲击载荷下加筋板的动力响应

船舶在恶劣的海况下航行时，船舶结构遭到剧烈的波浪砰击作用，这种冲击载荷可能使船体结构发生屈曲而造成舰船结构总体承载能力的丧失，导致灾难性的后果。加筋板结构作为船舶结构的基本结构之一，研究其动力特性显得尤为重要。基于离散加筋板模型，对具有弹性约束边界的初缺陷矩形加筋板在面内流固冲击载荷下的动力响应问题进行了理论研究。取样条函数作为挠度试函数，运用加权残值法求得初缺陷加筋板动力响应的控制方程，采用四阶Runge—Kutta法求解该方程，并用Fortran语言编制了相应的计算程序。构造的B样条函数能适应板侧边上的任意弹性转动约束，讨论了初始几何缺陷、冲击载荷持续时间、加强筋及弹性约束的影响。结果表明，它们是影响加筋板动力特性的重要因素。适当增加弹性约束，减小初始几何缺陷及冲击载荷持续时间有利于提高加筋板的承载能力。     

水射流冲击作用下船体板架动响应分析

水射流冲击是一个极为复杂的流固耦合问题。目前大多数计算模型都是基于一定的假设,例如流体不可压缩,结构为刚性体等。本文基于三维波动方程,考虑流场可压缩性,计及水弹性的影响,采用双渐进法对流场进行求解,采用Abaqus软件模拟板架结构在水柱冲击下的动响应,实现了流体与板架结构的耦合求解,并分别分析了平板和加筋板在水柱冲击作用下的动响应。数值研究表明,冲击区域的中心处受到较大的瞬态冲击,冲击速度改变了射流冲击载荷的大小,使冲击响应随着冲击速度的增加而增大。而板厚的增加改变了板的刚度,对射流冲击具有良好的抵抗作用。     

加筋板非线性振动及稳定性分析

研究了加筋板的几何非线性振动及稳定性问题。运用Hamilton能量变分原理，得到在给出受面内周期载荷下，加筋板的非线性振动控制方程，采用了伽辽金方法离散，得到类似多自由度系统的非线性，并根据Bolotin方法分析了完善板在平凡解时的稳定性，运用数值方法求解了非线性方程组的周期解，并给出了不同参数下的频响曲线。     

加筋板大挠度弯曲变形分析

提出了一种加筋板大挠度弯曲的新解法,此方法将离散的梁与板结合起来建立一个统一的控制方程。然后引入板、板长方向和板宽方向加筋三个不同的应力函数,通过δ函数将加筋应力场离散,根据加筋板的平衡方程和变形协调条件,推导出加筋板的Von-Karman方程。运用加权残值法,可以解出不同边界条件下的加筋板大挠度问题。最后还给出了几个计算实例。     

加筋板大挠度弯曲变形分析《中国造船》2001．6 P40～47

本文提出了一种加强筋大挠度弯曲变形的新解法,本法将离散的梁与板结合起来建立一个统一的控制方程。然后引入板、板长方向和板宽方向加筋三个不同的应力函数,通过函数将加筋板应力场离散,根据加筋板的平衡方程和变形协调条件。推导出加强筋板的Von-karman方程。运用加强残值法,可以解出不同边界条件下的加筋板大挠度问题。最后还给出了几个计算实例,表3。     

夹芯复合材料加筋板真空和水中自由振动分析

基于1阶剪切变形理论（FSDT）和Hamilton原理,利用狄拉克函数描述加筋,推导夹芯复合材料加筋板在真空中的自由振动控制方程;进一步假设浸没于水中的夹芯复合材料加筋板为薄板,根据流固耦合面上的法向加速度连续条件,对横向自由振动方程进行重构,得到整体结构在水中的控制方程。考虑四边简支边界条件,采用双傅里叶级数求解方程,并与文献及数值结果进行对比,验证了本文方法的有效性。进一步研究了加筋位置和数量、面板厚度及芯层厚度变化对夹芯复合材料加筋板自由振动的影响,为工程实际的结构优化设计提供参考。     

加筋板固有频率与相对刚度对其非线性动力响应的影响北大核心CSCD

[目的]研究冲击载荷对船用加筋板动力响应的影响。[方法]首先,根据相关规范和参考文献确定船用加筋板的尺寸,并运用有限元软件ANSYS中的Shell 181单元进行建模;然后,将载荷均匀作用于带板表面,加筋板的边界条件为四边固支;最后,分析在冲击载荷作用下加筋板的固有频率和相对刚度对其非线性动力响应的影响。[结果]结果显示,由几何尺寸影响的不同,可得到固有频率与挠度响应的分段函数关系式;加筋板的相对刚度则对其变形模式影响较大,以0.2和19为界,出现了不同的变形模式。[结论]所得定量化结论对船体结构安全评估具有重要的参考价值。     

碰撞载荷作用下加筋板架动响应分析研究

研究碰撞载荷作用下加筋板架的动态响应对于深入理解船舶碰撞力学机理和开展船舶耐撞性结构设计具有重要的指导意义。基于最近国外加筋板架碰撞模型系列试验结果,应用数值仿真的方法对其中5种典型加筋板架进行计算分析,得到不同加强筋情形下板架的动态响应特征,并从损伤变形模态及变形大小、应变三个方面与模型试验结果进行对比分析,结果表明两者具有很好的一致性,同时证明了本文碰撞数值仿真方法的有效性。     

基于一阶zigzag理论的软芯复合夹层板冲击载荷下的动态响应分析（英文）

本文提出一种简化的用于求解软芯复合材料夹层板的一阶zigzag理论模型，该模型能精确求解外载荷作用下软芯复合材料夹层板的静态和动态响应。软芯复合材料夹层板的上下面板采用一阶剪切变形理论，芯材运用线性函数模拟横向和面内位移。模型充分考虑芯材厚度方向的应力和应变，能很好满足横向剪切应力和位移界面边界条件。基于此模型，运用Newmark法求解控制方程分析冲击载荷作用下简支软芯复合夹层板的动态响应，将提出的一阶zigzag理论模型与公开发表的文献结果进行了准确性对比验证。在验证的基础上进行了一系列的参数研究，并详细研究了各种参数对夹层板动态响应的影响。计算结果能为船用软芯复合材料夹层板提供理论设计指导。     

爆炸载荷作用下单向加筋板的塑性动力响应分析

从加筋板面板以及加强筋的运动方程出发,分析了爆炸载荷作用下单根加筋固支方板的大挠度塑性动力响应。分析表明:加筋板的运动,取决于加强筋的相对刚度以及载荷峰值的大小,将呈现出3种不同的模式。研究仅限于讨论加筋板的总体变形模式,具体讨论了单向加筋固支方板在忽略弯矩影响下的薄膜解法。得到的理论结果与已有的试验结果在多数情况下符合良好,表明简化理论分析方法能对爆炸载荷下单向加筋固支方板的永久变形做出较为合理的预报。     

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.     

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%。     

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.     

Nonlinear dynamic response of blast-loaded stiffened plates considering the strain rate sensitivity

The aim of the present paper is to develop a simple theoretical method which can quickly calculate the nonlinear dynamic response of stiffened plates under a blast loading. The large deformation behavior of the stiffened plate is analyzed by using a singly symmetric beam model as representative of the stiffened plate. The material is assumed to be rigid-perfectly plastic, and the strain rate sensitivity is considered by using the Cowper–Symonds constitutive model (CS model). By Lee's extremum principle, the instantaneous modes of nonlinear structural response are determined. A series of calculations are performed to investigate the influence of pulse intensity, pulse duration, plate thickness, stiffener spacing and material property on the displacement response. The obtained results are in good agreement with those of numerical simulations performed by software package ABAQUS, and then a definition for the cases when the simplified method proposed here can be used is provided.     

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 collapse tests of stiffened-plate ship structural units

An increasingly popular approximate method for assessing ship hull girder ultimate strength is to combine the individual elasto-plastic load-carrying characteristics of each single stiffened-plate unit comprising the ship hull cross section. In order to evaluate methods (numerical and experimental) for developing the load-carrying characteristics (load–shortening curves), a full-scale testing system was designed and constructed to provide data for stiffened steel plate units under combined axial and lateral loads. The system included an assembly of discrete plate edge restraints that were developed to represent symmetric boundary conditions within a grillage system. Twelve full-scale panels including ‘as-built’, ‘deformed’ and ‘damaged’ specimens were tested in this set-up.

The specimens failed by combined plate and flexural buckling, stiffener tripping or local collapse, depending on the magnitude of lateral loads and local damage. Load-shortening curves associated with different failure modes were found to be distinctly different and it was found that a small lateral load could change the failure mode from flexural buckling to tripping. Current design criteria should directly consider effects of the lateral loads on the failure modes and the collapse loads of stiffened plates.     

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.     

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。     

面内流固冲击载荷下板结构的弹塑性动态屈曲及失效

一种简单的半解析方法用来研究板结构的动态弹塑性屈曲及失效.考虑材料和几何非线性,忽略面内位移和面内惯量,运用能量变分原理以及增量伽辽金方法得到面内流固冲击载荷下板以及加筋板的弹塑性动态屈曲增量控制方程,采用数值方法求解,并通过算例分析了几何参数以及冲击载荷的影响.