Nonlinear buckling analysis of pre-stressed ring-stiffened circular cylindrical shells under external pressure

This paper is concerned with the nonlinear buckling behavior of pre-stressed ring-stiffened thin circular cylindrical shells under external pressure. According to the geometrical nonlinearity, governing equations are derived by incorporating initial stresses based on Donnell-type shell theory. The “smeared stiffeners” approach is used for ring stiffeners. The numerical analyses are conducted by Gelerkin’s method to obtain critical buckling loads of shells. This study shows effects of initial stresses on stability of shells. Moreover, effects of initial stresses on buckling modes of shells are discussed.     

压应力波作用下薄板弹性动力屈曲的数值解法

利用哈密顿原理和相邻平衡准则导出了薄板动力屈曲控制方程,根据能量关系推导了屈曲瞬间能量转换率守恒方程,进而得出了压缩波前屈曲变形的附加约束条件,由此得到了求解薄板动力屈曲问题的完备定解条件.利用差分方法求解了薄板的控制方程,解出了动力屈曲模态以及临界力参数和动力特征参数的值并对比分析了静、动力屈曲模态的差别.     

大跨度铁路斜拉桥非线性时域抖振分析

通过脉动风速场模拟，获得了桥梁结构时域化风荷载，在此基础上，采用大跨度桥梁抖振的时域分析法，以一大跨度铁路斜拉桥为工程背景，对大跨度铁路斜拉桥抖振的非线性行为进行了分析．分析中综合考虑了结构几何非线性和气动非线性，其中结构几何非线性因素包括拉索垂度、内力引起的梁-柱效应及结构大变位等，气动非线性因素包括攻角效应、自激力等．非线性运动方程采用双重迭代法求解，以提高迭代的收敛性．非线性时域抖振分析和线性分析结果的比较表明，非线性因素会增大结构的抖振响应．     

编织复合材料圆柱壳的蠕变屈曲分析

研究了编织复合材料圆柱壳的蠕变屈曲问题,通过理论分析,计算了粘弹性编织复合材料圆柱壳的瞬时弹性临界载荷和持久临界载荷。     

An improved dynamic hysteretic model for soils

A dynamic hysteretic constitutive model for soil dynamics, Ramberg-Osgood model, is introduced and improved in the paper. Since the model is inherently 1D and is assumed to apply to shear components only, other components of the deviatorie stress and strain and their relations in 3D case could not be fully described. Two parameters, the equivalent shear stress and the equivalent shear strain, are defined to reasonably establish relations between each of stress and strain components respectively. The constitutive equations of the initial Ramberg-Osgood model are extended to generalize the theory into multidimensional cases. Difficulties of the definition of load reversal in 3D are also addressed and solved. The improved constitutive model for soil dynamics is verified by comparisons with different soil dynamic testing data covering both sands and clays. Results show that the dynamic nonlinear hysteretie behaviors of soils can be well predicted with the improved constitutive model.     

Finite Element Modeling of a Fluid Filled Cylindrical Shell with Active Constrained Layer Damping

On the basis of the piezoelectric theory, Mindlin plate theory, viscoelastic theory and ideal fluid equation, the finite element modeling of a fluid-filled cylindrical shell with active constrained layer damping （ACLD） was discussed. Energy methods and Lagrange＇s equation were used to obtain dynamic equations of the cylindrical shell with ACLD treatments, which was modeled as well with the finite element method. The GHM （Golla-Hughes-McTavish） method was applied to model the frequency dependent damping of viscoelastic material. Ideal and incompressible fluid was considered to establish the dynamic equations of the fluid-filled cylindrical shell with ACLD treatments, Numerical results obtained from the finite element analysis were compared with those from an experiment. The comparison shows that the proposed modeling method is accurate and reliable.     

连续梁在行驶车辆作用下的动态反应

把桥梁和车辆看作两个分离体系,把车辆视为二维非线性模型,并考虑到桥面的路面不平度影响,应用虚功原理和模态叠加法分别建立振动方程,在车辆与桥梁接触点采用接触力和位移协调的条件,利用迭代技术求解二者之间的相互作用力。以一座三跨连续梁为例,计算了该桥的动挠度曲线和相应的冲击系数。结果显示车辆在边跨行驶时中跨跨中截面的冲击系数要远大于车辆在中跨行驶时的冲击系数,桥梁在车辆动荷载作用下的冲击系数与车辆动力特性、车速、桥梁动力特性以及路面不平度等密切相关,仅仅看作桥梁基频的函数是过于简化的。     

直齿圆柱齿轮副动力学特性分析

利用拉格朗日方程建立了含间隙直齿圆柱齿轮副的动力学模型,通过齿轮轮齿弹性变形的原理数值计算建立了时变刚度的数学模型.利用4~5阶Runge-Kutta数值积分法对系统进行了数值求解.结合Poincaré映射图、相图、FFT频谱图、系统分岔图分析了系统随激励频率和阻尼变化时的动力学行为,发现了其稳定周期运动和倍周期运动及混沌运动.通过齿轮冲击模型数值计算,找出了不同初值情况下的冲击状态.     

初始挠度缺陷圆柱形扁壳颤振临界动压研究

为研究初始挠度缺陷对圆柱形扁壳气动弹性系统颤振临界动压的影响,将初始挠度引入圆柱形扁壳气动弹性方程,采用微分求积法进行离散,运用特征值方法分析了线性系统在超声速轴向流中的颤振临界动压.研究结果表明,初始挠度缺陷会显著影响颤振临界动压.在本文计算参数下,当初始挠度周向半波数等于1时,颤振临界动压参数与初始挠度缺陷因子成比例关系;当周向半波数小于4时,随着初始挠度缺陷因子的增加,系统颤振临界动压大都呈现减小趋势;对于小曲率情况,当周向半波数大于4时,初始挠度缺陷因子的增加带来的颤振临界动压变化并不显著;对于大曲率情况,当周向半波数大于4时,随着初始挠度缺陷因子的增加系统颤振临界动压显著减小;初始挠度的形式会影响产生耦合模态颤振的周向半波数.      

金佛山混凝土面板堆石坝地震反应3-D分析

基于等效线性模型,采用三维非线性动力有限元法对拟建金佛山混凝土面板堆石坝进行了地震动力反应分析,重点研究了坝体在地震荷载作用下的加速度反应、动应力反应、地震永久变形的规律和分布。计算结果表明:坝顶附近加速度反应较大,应采取相应的抗震工程措施;坝体动应力反应较小;坝体残余变形不大;大坝整体抗震性能较好,满足给定地震下的抗震安全性要求。     

箱梁的空间振动分析探讨

本文采用三角形板单元对箱梁分段建立运动微分方程,解出模态,对整体结构动态综合时进行了缩阶,求出结构的低频模态。在Zienkiewicz处理单元刚度矩阵奇异问题方法的基础上,提出采用假设板单元面内转动质量系数的方法处理质量矩阵的奇异问题。本文还用坐标总集推导了总装方程,结果表明,所作近似与各分段模态间之正交性等价。算例表明:对板单元刚度、质量矩阵奇异性问题在不计结点之面内转动自由度时之处理方法将是可行的。有限元法与动态子结构法结合(简称FEDS)对箱梁进行动态分析是有效的。     

具五次强非线性项的Lienard方程的新精确解

通过构造辅助方程,求出了具五次强非线性项的L ienard方程的多种新精确解,包括孤波解、三角函数解、Jacob i椭圆函数解.利用所得结果可以求出Kundu方程、导数Schr d inger方程和力学中重要的具五次强非线性项的波方程以及PC方程等重要非线性发展方程的精确解.     

Nonlinear Dynamic Analysis of Three Dimensional Flexible Multibody Systems

The nonlinear dynamic problems of three dimensional flexible multibody systems are investigated. The elastic deformation fields of flexible space beams are decomposed into axial deformation and bending deformation, and described by each exact vibration modes in the body coordinate systems. The constrainted nonlinear dynamic equations are derived by using Lagrange multiplier method. A numerical procedure for solving the resulting differential algebraic equations is presented based on Newmark direct integration method combined with the modified Newton-Raphson iterative method. Numerical results verify the effectiveness of the proposed method.     

变高度薄壁箱梁剪力滞的几何非线性分析

根据势能变分原理,考虑薄壁箱梁翼缘的剪力滞效应和结构竖向挠度的几何非线性,导出了变高度薄壁箱梁的非线性控制微分方程,并采用样条最小二乘配点法进行求解.将计算值与试验结果进行了比较,两者吻合较好.研究表明,对于三跨变高度薄壁连续箱梁,在均布荷载作用下,内支座截面的应力分布不均匀程度较中跨跨中截面大;荷载越大,非线性效应越显著.     

Nonlinear Absolute Nodal Coordinate Formulation of a Flexible Beam Considering Shear Effect

IntroductionIn the previous hybrid-coordinate formulationof an elastic beam, with the assumption of smalldeformation, the relation between the strain anddeformations is approximated to one order. Suchlinear approximated formulation fails to explain thestiffening effect for a high-speed rotating elasticbeam[1,2]. Some authors developed the systemequations of motion of flexible multibody systemsthat include stress stiffening effects[3]. A furtherimprovement in the formulation can be achieved bye…     

波纹钢腹板屈曲性能(英文)

通过调整波纹钢腹板的整体尺寸、波纹板厚度、波折角度、波纹高度和平板宽度等尺寸参数,制作了16个试验模型,进行了波纹钢腹板试件的剪切屈曲试验,记录了不同试件在各级试验荷载作用下的结构变形、应力分布、屈曲荷载与屈曲形态,对比分析了各个尺寸参数对试件剪切屈曲荷载与屈曲模态的影响.分析结果表明:根据试件的屈曲形态,不同尺寸的波纹钢腹板的屈曲破坏主要表现为3种模态;随整体外形尺寸、波折角度、波纹板厚度的增大及波纹高度的减小,波纹钢腹板的剪切屈曲荷载随之增大;整体高宽比对剪切屈曲荷载影响较小.     

Dynamic investigation on composite flexible multi-body system considering thermal effect

The dynamic performance of composite flexible multi-body system under the simultaneous action of thermal fields and driving constraint is analyzed. Based on strain-displacement relation of the Mindlin plate theory which includes transverse shear deformation, and considering thermal effect, variation equations of laminated plate are derived by the principle of virtual work. The finite element method is used for discretization. According to kinematics constraint relation, dynamic equations for spatial slider-crank system are established. Simulation results show that spatial deformation (torsion deformation) appears in the multi-layered composite slider-crank mechanism which is simulated with planar motions. Furthermore, the influence of coupling between thermal expansion and flexible deformations of non-symmetrical composite plates on the large overall motion under the uniform temperature field is investigated. Finally, significant change in constraint force due to the spatial deformation is shown.     

基于稳定等效的覆雪屋盖静力风荷载计算方法

为了避免屋盖结构在暴风雪中发生动力失稳,建立了基于稳定等效的静力风荷载计算方法.采用计算流体动力学方法模拟了屋面积雪漂移现象;根据Budiansky-Roth准则判定了覆雪屋盖的动力稳定性;借鉴阵风荷载因子法构建了基于稳定等效的静力风荷载计算方法;最后,对实际双层柱面网壳进行了动力稳定性设计.研究结果表明,强风下覆雪屋盖出现较为明显的失稳阶段,当风速为设计基准风速的1.0倍时,屋盖发生动力失稳,静力失稳计算可得临界风速为35.8 m/s,该结果可作为该屋盖设计的动力失稳临界风速.      

基于ABAQUS的结构非线性问题探究

文章运用ABAQUS对扁壳结构在集中荷载作用下受压屈曲问题进行了分析,应用弧长法进行了迭代求解,并应用Risk法顺利的解决了扁壳屈曲的复杂非线性大变形问题,加深了扁壳结构非线性问题的理解与分析,为扁壳结构在工程领域中的应用提供了借鉴。     

结构动力屈曲的研究进展

系统地回顾了结构动力屈曲的研究进展,着重阐述了板及加筋板结构在周期载荷、冲击载荷以及随动力作用下的动力屈曲问题.对常用的动力屈曲准则作了介绍.针对目前对复合材料结构冲击屈曲研究较少的情况,提出应开展该领域的深入研究,并指出研究面内动力载荷下板结构的动力极限强度具有重大意义.