静力预加载结构冲击屈曲的突变模型

基于突变理论给出静力预加载弹性结构冲击屈曲的准则,并将其用于处理Budian-sky-Hutchinson简单力学模型的冲击屈曲分析和受扭圆柱壳的冲击扭转屈曲分析,给出了临界载荷的求解公式。     

圆柱形薄壳冲击扭转屈曲的实验研究

本文对受冲击扭矩作用下的圆柱形簿壳扭转屈曲进行了实验研究，利用Ｈｏｐｋｉｎｓｏｎ扭杆使圆柱受阶跃扭矩作用，分析所得到的应变－时间曲线，得到了不同几何参数的圆柱壳的冲击临界扭矩Ｍｄｅｒ和屈曲波数ｎ及几条定性结论，同时找出了圆柱壳静力扭转屈曲行为和冲击扭转屈曲行为之间的异同。     

轴向冲击下圆柱壳非轴对称屈曲耗散能分析

主要研究受轴向冲击圆柱壳非对称屈曲耗能,从轴向屈曲变形、环向屈曲变形和轴向压 缩变形3个角度进行理论推导. 结果表明: 环向屈曲变形能随屈曲折叠边数增加有减小 趋势, 且占总耗能比例很小,可知圆柱壳受轴向冲击屈曲过程中外力做功主要转变为轴向变形 能,环向屈曲变形消耗外力功很少.     

激光辐照下圆柱壳结构的稳定性分析

针对航天工程中常用的承受轴压作用的薄壁圆柱壳,分别采用解析方法与特征值屈曲有限元方法分析了圆柱壳结构在均匀轴压作用下的稳定性能,得到了屈曲承载力.并进行了对比,验证了有限元模型的合理性.采用线性屈曲特征值有限元方法分析了强激光辐照作用下圆柱壳的稳定性能,分析表明激光辐照导致壳体局部温度上升并由此带来材料参数的改变,是因为激光辐照在壳体中引起了热应力与热应变,使轴压圆柱壳的屈曲承载力明显降低.论文还着重对加筋圆柱壳结构的稳定性进行了研究,数值分析结果表明,加筋能有效提高圆柱壳结构的抗压承载力,激光辐照作用下,加筋对轴压作用下圆柱壳的屈曲承载力的提高作用更为明显.     

金属圆柱壳受大质量低速冲击的屈曲变形

对钢质和铜质金属圆柱壳的轴向冲击动力响应进行了实验研究,记录了两种不同材料圆柱壳在大质量低速冲击下的冲击力时程曲线,得到其屈曲模态。采用高速摄像及模拟技术给出了钢质圆柱壳渐进屈曲的全过程,为理解钢质圆柱壳的屈曲机理提供了直观的结果。黄铜质圆柱壳在大质量低速冲击下, 出现整个壳面滿布屈曲波纹的塑性动力屈曲现象,说明高速冲击不是产生塑性动力屈曲的充要条件。像铜这样具有高密度的韧性材料,在大质量低速冲击下,会在轴向产生持续的压缩塑性流作用而出现塑性动力屈曲现象。     

圆柱壳稳定性问题的研究进展

圆柱壳是工程实际中广泛应用的结构,其主要破坏形式是屈曲失稳．作为力学领域的经典问题,圆柱壳稳定性问题的研究非常之多．其中,受均匀轴向压力的圆柱壳由于临界屈曲载荷的理论预测值与早期试验结果之间的巨大差异,更是推动了壳体稳定性理论的不断发展．本文简要回顾了壳体稳定性理论的发展和分类,并对轴压圆柱壳体试验结果分散且远低于理论预测值的原因及含缺陷圆柱壳体的稳定性研究方法进行了总结,然后综述了地下空间顶管、储油罐、加筋圆柱壳及脱层圆柱壳等实际工程中广泛应用的圆柱壳结构稳定性研究的现状和趋势,最后展望了将来对工程应用中圆柱壳结构的稳定性研究的难点和方向．     

三维编织复合材料圆柱壳在外压作用下的屈曲分析

提出一种三维四向编织复合材料圆柱壳的细观力学模型,宏观上基于Reddy高阶剪切变形理论和广义Kármán型方程,采用奇异摄动法求解在固支边界条件下三维四向编织复合材料圆柱壳在外压作用下的屈曲和后屈曲.分析中同时考虑非线性前屈曲、大挠度和初始几何缺陷的影响.讨论了纤维体积含量、壳体几何参数等因素对圆柱壳屈曲行为的影响.     

关于冲击载荷下圆柱壳塑性屈曲的两个问题

本文按文献[1]中提出的能量原理,讨论了两个冲击载荷下圆柱壳的塑性屈曲问题,得到了相应的临界冲击速度的计算公式。1.径向冲击下圆柱壳的临界速度问题径向冲击下圆柱壳的塑性屈曲早在文献[2]中就已研究过。但和别的类似问题一样,已有工作主要限于屈曲模态的计算,而对究竟多大的冲击速度下可能发生塑性屈曲的问题,即所谓临界速度问题,并未进行过理论上的分析。其原因我们在[1]中已经指出,即经典的临界速度定义已不适用于此类问题,问题的提法需要重新考虑。     

受轴向冲击圆柱壳的塑性动力屈曲研究

令屈曲模态同时包含轴向坐标x和环向坐标 ,通过最优模态的分析 ,直接得到各向同性线性强化刚塑性圆柱壳受轴向冲击时发生轴对称屈曲或非轴对称屈曲时的临界速度 ,在此基础上讨论了临界速度与径厚比的关系。     

轴向应力波作用下圆柱壳塑性轴对称动力屈曲

运用有限元特征值分析方法对应力波作用下圆柱壳塑性轴对称动力失稳问题进行了研究。基于应力波理论和相邻平衡准则导出了圆柱壳轴对称动力失稳时的特征方程,在分析中同时考虑了应力波效应及横向惯性效应,把圆柱壳塑性动力失稳问题归结为特征值问题。通过引入圆柱壳动力失稳时的波前约束条件实现了此类问题的有限元特征值解法。计算结果揭示了圆柱壳塑性轴对称动力屈曲变形发展的机理,以及轴向应力波和屈曲变形的相互作用规律。     

A catastrophe model for the impact torsional buckling of elastic cylindrical shell

The catastrophe theory is used to study the impact buckling of elastic structures. A criterion for impact buckling is established based on the proposed catastrophe system, in whose bifurcation set the critical step load is located. By the present theory, the impact torsional buckling for a clamped cylindrical shell is studied and the critical step torques for different imperfections are given. Also, the static critical torque is given, and it is shown that the critical step torque is smaller than the critical static torque.The project is supported by National Natural Science Foundation of China     

弹性圆柱壳冲击扭转屈曲的突变模型

本文将突变理论用于处理冲击载荷下弹性结构的屈曲问题,文中建立了结构冲击屈曲的突变准则,认为临界阶跃载荷位于所提出突变系统的分叉集之中,并由此对两端固支的弹性圆柱壳扭转屈曲进行了分析,给出了不同初缺陷时的临界阶跃扭矩计算公式,通过对临界静态扭矩的计算,表明临界阶跃扭矩小于临界静态扭矩.     

An experimental study on the static and impact torsional buckling of cylindrical shells

In this paper, experimental studies are carried out on the buckling of circular cylindrical thin shells under impact torque. Experiments of impact buckling are made on a Hopkinson torsional bar. The torsional bar gives a step torque on the shells. Through an analysis of the strain-time curve obtained in experiment, the dynamic buckling critical torqueM _er and buckling waves numbern of the shell with different geometric data and some qualitative results are obtained. The buckling behavior of circular cylindrical thin shells under static and impact torque is compared.     

THE IMPACT TORSIONAL BUCKLING OF ELASTIC CYLINDRICAL SHELLS WITH ARBITRARY FORM IMPERFECTION

A perturbation analysis for the impact torsional buckling of imperfective elastic cylindrical shells subjected to a step torque is given..The imperfection is supposed to be small and has arbitrary form.It is shown that only the imperfection which has the shape of static torsional buckling mode could influence the critical step torque.Finally a formula is presented for the critical step torque.     

复合材料多墙盒段弯扭耦合下的屈曲和后屈曲

针对复合材料典型多墙盒段，采用试验和有限元分析相结合的方法，研究了弯扭耦合载荷作用下的稳定性、承载能力及损伤起始、扩展情况．试验采用数字图像相关(Digital Image Correlation, DIC)测量方法捕捉试验件屈曲模态的变化过程，通过载荷-应变曲线获得屈曲和后屈曲破坏载荷．数值仿真基于ABAQUS/Explicit模块，采用Hashin准则结合刚度降的VUSDFLD子程序模拟复合材料的屈曲和后屈曲行为．研究结果表明，多墙盒段在弯扭载荷组合作用下发生屈曲时，扭矩会改变屈曲模态的分布形式和对称性，屈曲鼓包依然保持波峰、波谷交替出现；多墙盒段后屈曲阶段历程较长，屈曲模态由一阶向高阶逐渐发展，直到结构发生过大变形，彻底破坏而失去承载能力．     

充满水的金属圆柱壳经受轴向撞击时屈曲过程的实验研究

本文报道了五种规格充满水的圆柱壳经受大质量低速度轴向撞击作用时屈曲过程的实验结果。研究表明由于液体的存在，圆柱壳的屈曲模态呈轴对称型的环带波纹，整个撞击过程可以明显地分为振荡的动力加载、平稳发展的后屈曲和迅速下降的弹性卸载三个阶段。并讨论了试件壁厚和高度等几何参数对其屈曲性能的影响。     

冲击扭矩作用下碳纳米管动力屈曲的研究

为了研究碳纳米管在冲击扭矩作用下的动力屈曲,采用了连续模型将碳纳米管模拟成半无限长的弹性连续圆柱壳。将冲击扭矩作用下碳纳米管的动力屈曲问题归结为由于扭转应力波传播导致的分叉问题,此分叉问题被化为一个非线性方程组的求解。最后进行了数值分析,讨论了碳纳米管的不同参数对动力屈曲的影响,发现碳纳米管有极强的抗冲击性,临界屈曲剪应力可高达几百吉帕。     

Secondary buckling of a flat plate under uniaxial compression : Part 1: theoretical analysis of simply supported flat plate

While studies of post-buckling behavior and load-carrying capacities of thin plates subjected to uniaxial compression have been limited to stable conditions, further post-buckling loading generates an unstable condition. The secondary buckling which occurs with snap-through to higher-order deflections under such unstable conditions has not been analyzed in detail as yet. In the first part of this paper, a thin square plate under uniaxial compression, which is simply supported along four edges, is considered. A method based on the second variation of the total potential energy is then proposed for evaluating the stability of the post-buckling equilibrium state and inevitable secondary buckling is derived analytically. The effects of various factors, such as initial imperfections, assumed virtual displacement pattern, post-buckling deflection pattern and in-plane boundary conditions, on the secondary buckling values are discussed. In part 2, secondary buckling of clamped plates is analyzed by use of the finite element method and the resultant numerical results are compared with experimental results.     

On the post-buckling analysis of plastic structures under impulsive loading

An analytical method is suggested to analyze the plastic post-buckling behavior under impulsive loading. The fundamental equation of motion of a cylindrical shell is taken as an example to explain the main concept and procedure. The axial and the radial displacements are decoupled by an approximate scheme, so that only one non-linear equation for the radial buckling displacement is to be solved. By expanding it in terms of an amplitude measure as a time variable, we may get the post-buckling behavior in the form of a series solution. The post-buckling behavior of a rectangular plate used as a special case of cylindrical shell is discussed.