A theoretical analysis for the dynamic axial crushing behaviour of aluminium foam-filled hat sections

A theoretical analysis was performed to predict the dynamic axial crushing behaviour of aluminium foam-filled top hat and double hat sections made from mild steel material. The deformation mode from the test results was used to create a deformation model for the theoretical analysis. According to the energy method and the superfolding element theory, the mean dynamic crushing loads of the aluminium foam-filled hat sections and the interactive effect between the aluminium foam and hat sections were theoretically predicted. The mean dynamic crushing loads and the interactive effect predicted by this theoretical analysis were in good agreement with the experimental results. The theoretical prediction results showed that the interactive effect was mainly from the aluminium foam.     

爆炸荷载作用下方形夹芯板动力学响应与优化设计数值分析

为研究方形蜂窝铝板在爆炸荷载作用下的动力学响应,基于LS-DYNA非线性有限元软件,建立了TNT炸药-前后面板-蜂窝夹芯-空气的三维有限元模型。采用ALE(任意的拉格朗日欧拉)多物质流固耦合算法分析了蜂窝铝板在冲击荷载作用下的变形机理、塑性变形、能量吸收以及结构的优化。数值模拟结果表明:随着面板厚度、核心高度的增加,蜂窝铝板在冲击荷载作用下的塑性变形明显减小,抵抗变形的能力增强;随着爆轰入射角度的增加,结构的破坏程度有所减小,入射角越大这种效果越发明显。对结构给定边长和受冲击面积以及面板厚度配合比、夹芯量纲为一的高度进行了局部的优化分析,为设计优质铝蜂窝板提供参考。     

Static and dynamic snap-through behaviour of an elastic spherical shell

The deformation and snap-through behaviour of athin-walled elastic spherical shell statically compressed on aflat surface or impacted against a flat surface are studied theoretically and numerically in order to estimate the influenceof the dynamic effects on the response.A table tennis ballis considered as an example of a thin-walled elastic shell.Itis shown that the increase of the impact velocity leads to avariation of the deformed shape thus resulting in larger deformation energy.The increase of the contact force is causedby both the increased contribution of the inertia forces andcontribution of the increased deformation energy.The contact force resulted from deformation/inertia ofthe ball and the shape of the deformed region are calculated by the proposed theoretical models and compared withthe results from both the finite element analysis and somepreviously obtained experimental data.Good agreement isdemonstrated.     

金属泡沫填充薄壁圆管的轴压载荷-位移关系

将泡沫填充圆管的能量吸收视为泡沫与圆管两者之和, 基于包含偏心率效应的直链塑性铰模型和Reddy等对Alexander模型的改进结果, 对圆管的变形模式进行了更改, 以此来反映管壁与金属泡沫之间的相互作用效应, 导出了金属泡沫填充圆管的静、动态轴向平均压溃力的表达式. 通过理论预测与实验的对比, 发现理论预测偏低, 但与实验曲线的趋势保持一致, 比空管与金属泡沫的平均载荷之和略高一些. 此外, 泡沫填充圆管的平均压溃力随填充泡沫平台应力的增大而呈线性增加, 与已有研究结果及实际情况一致, 由此表明了模型的合理性.      

DYNAMIC RESPONSE OF A RIGID,PERFECTLY PLASTIC FREE-FREE BEAM STRUCK BY A PROJECTILE ATANY CROSS-SECTION ALONG ITS SPAN

I. INTRODUCTION The dynamic plastic response of free-free beams subjected to intense dynamic loading is a subject ofinterest for aerospace engineering applications. For example, when a rocket is attacked by a missile, itslarge plastic deformation behav…     

端部受斜撞击作用悬臂梁的弹塑性动力响应模式

基于大变形动力控制方程并利用有限差分离散分析,研究了斜撞击作用下弹塑性悬臂梁的动力响应．通过对屈服函数以及弯矩、轴力在动力响应过程中分布规律的分析,阐明了斜撞击下恳臂梁的弹塑性动力响应模式和斜撞击的轴向分量对变形机制的影响．研究表明,弹塑性响应过程可划分为四个阶段,对应的变形模式为：“压缩塑性区扩展”模式,“广义移行塑性铰”和“压缩塑性区收缩”混合模式,“驻定塑性铰”模式,“弹性自由振动”模式．与刚塑性分析所假定的两相变形模式比较,弹塑性应响分析证实了响应早期的瞬态轴向压缩模式和梁根部“驻定塑性铰”模式的存在性,肯定了刚塑性分析所假定变形模式的主要特征．斜撞击的轴向分量在撞击发生的瞬时主导了梁的变形,使梁呈现同承受横向冲击明显小同的变形规律．随着响应的深入,轴向分量迅速衰减,其对截面屈服的贡献非常微弱,由横向分量引起的弯曲挠动在大部分时间内主导和控制梁的变形．数值计算结果表明,斜撞击载荷的质量、撞击速度和角度是影响梁动力响应的重要因素．     

The behaviour of a self-piercing riveted connection under quasi-static loading conditions

The behaviour of a self-piercing riveted connection was investigated experimentally and numerically. An extensive experimental programme was conducted on elementary riveted joints in aluminium alloy AA6060 in two different tempers, T4 and T6. The experimental programme was focused on the influence of important model parameters such as thickness of the plates, geometry of the specimens, material properties of the plates and loading conditions. An accurate 3D numerical model of different types of riveted connections subjected to various loading conditions was generated based on the results of the numerical simulation of the riveting process. A new algorithm was generated in order to transfer all the information from the 2D numerical model of the riveting process to the 3D numerical model of the connection. Thus, the 3D model was initialized with the proper deformed shape and the current post-riveting stress–strain state. The residual stresses and the local changes in material properties due to the riveting process were an important factor in order to get the correct structural behaviour of the model. The simulations have been carried out using the explicit finite element code LS-DYNA. The model was validated against the experimental results in order to get the correct deformation modes and the force–displacement characteristics. The numerical force–displacement curves fitted the experimental ones with reasonable accuracy. Furthermore, the model seemed to be able to describe the correct structural behaviour and thus the failure mechanisms of the self-piercing riveted connections.     

薄壁管及其泡沫金属填充结构耐撞性的实验研究

对两种AA 6063T6铝合金薄壁空管(方/圆管)结构以及填充泡沫铝的5种不同几何截面的薄壁夹芯管(单方/圆管填充,双方/圆管填充,双方管四角填充结构)分别进行了准静态轴向压缩实验,研究了各种薄壁结构的变形模式和吸能性能,比较了反映不同结构耐撞性的各种参数,如比能量吸收和能量吸收效率因子等。同时,研究了各种填充结构的几何参数对结构耐撞性能的影响,发现填充结构内管的尺寸对结构的耐撞性影响显著。研究结果显示,圆管类型的结构平均压垮载荷、比质量能量吸收、单位行程能量吸收以及能量吸收效率因子都较方管类型结构高。泡沫填充单/双圆管结构由于其较高的压垮力效率和能量吸收效率,能够较平稳高效地吸能,作为耐撞性结构元件具有很大的优势。     

Shot peening and peen forming finite element modelling – Towards a quantitative method

Peen forming is commonly used on aluminium alloys in the aerospace industry for wing skin shaping. Numerous analytical, numerical, and experimental studies have been made to better understand the effects of various peening parameters on the final material state and to predict deformed shapes, but conclusions were often limited to trends. The purpose of this study is therefore to develop and verify experimentally quantitative numerical tools for peen forming applications by studying the simple case of peening an Almen-sized AA-2024 aluminium strip in an Almen holder. The first step consisted in improving an existing random dynamic model by determining optimal dimensions. The AA-2024 target mechanical behaviour was characterized experimentally and a combined isotropic-kinematic hardening law was selected to model the material behaviour. The dynamic impact model and material constitutive law provided good prediction of peening-induced stresses in thick AA-2024 for two shot velocities. The sequence-sensitive aspect of the forming process was also investigated and a new shell-based finite element model was proposed. Numerical and experimental results for three shot velocities were compared to evaluate the validity of this numerical simulation method and promising agreement was observed.     

变截面多稳态梁结构减振吸能分析与优化设计

基于多稳态梁结构具有吸能且可重复使用的特点,本文研究包含变截面多稳态梁的单胞结构及其周期性排布的减振吸能效应及其优化设计方法。对多稳态结构进行考虑几何非线性的位移加载/卸载有限元仿真,根据其载荷-位移曲线分析多稳态结构的减振吸能原理,并研究串联与并联周期性排布形式对结构整体吸能特性的影响规律。研究基于多参数调控的变截面梁结构形状表征方法,根据多稳态结构储能特点建立变截面多稳态单胞结构的结构优化模型,通过求解优化问题获得总质量不变条件下最优变截面梁结构形状。进一步地通过对优化结果的有限元分析验证优化的有效性,并对结构进行瞬态冲击荷载下动响应分析,证明多稳态结构的冲击保护作用。     

双层环肋圆柱壳受多个物体撞击下的结构动响应

针对双层环肋圆柱壳受到多个物体的撞击问题,采用MSC.Dytran软件对受撞过程中的结构损伤变形、撞击力变化和能量转换进行数值模拟,并与模型试验相对比后发现:双层环肋圆柱壳结构同时受多物体撞击是一个瞬态动响应过程,在巨大瞬时冲击载荷作用下,受撞区壳板会迅速超越弹性变形而产生塑性变形;多物体撞击会造成外壳板一定区域的损伤变形,撞击力会相互干扰,导致其非线性特征更明显。结果表明,双层圆柱壳的外壳能对内壳起到较好的防护作用,在外壳没被撞穿的情况下,其结构变形会吸收绝大部分的撞击动能,可以通过优化外壳的吸能效率来达到双层壳体结构物内壳防撞的目的。     

Free vibration of horizontally curved thin-walled beams with rectangular hollow sections considering two compatible displacement fields

A finite element is presented for vibration analyses of horizontally curved thin-walled rectangular hollow beams. Eight cross-section deformation modes are employed to describe the mid-surface contour displacement field with the modal superposition method. Focused on the in-plane moment equilibrium condition and the displacement continuity condition, two compatible displacement fields are constructed to calculate the strain energy and the kinetic energy of the beam, respectively. With the application of Hamilton’s principle the dynamic governing equations are formulated, and then approximated for the finite element implementation. Finally, numerical examples are illustrated to verify the validity of the present theory.     

Dynamic analysis of baffled fuel‐storage tanks using the ALE finite element method

This paper is concerned with the parametric investigation on the structural dynamic response of moving fuel‐storage tanks with baffles. Since the structural dynamic behaviour is strongly coupled with interior liquid motion, the design of a fuel‐storage tank securing the structural stability becomes the appropriate suppression of the flow motion, which is in turn related to the baffle design. In order to numerically investigate the parametric dynamic characteristics of moving tanks, we employ the arbitrary Lagrangian–Eulerian (ALE) finite element method that is widely being used to deal with the problems with free surface, moving boundary, large deformation and interface contact. Following the theoretical and numerical formulations of fluid‐structure interaction problems, we present parametric numerical results of a cylindrical fuel‐storage tank moving with uniform vertical acceleration, with respect to the baffle number and location, and the inner‐hole diameter. Copyright © 2003 John Wiley & Sons, Ltd.     

Plastic modal approximations in analyzing beam-on-beam collisions

Dynamic behavior of a moving free–free beam striking the tip of a cantilever beam, as a typical example of collision between two deformable structures, is analysed by employing modal approximation techniques. The applicability of both rigid-plastic and elastic–plastic mode approximations is examined in predicting the energy partitioning between the two colliding beams.Three rigid-plastic modes (RP-Modes) are considered and the Lee’s functional is applied to select the appropriate mode. It is found that one of the beams would absorb all the initial kinetic energy, unless a higher-order RP-mode is adopted.To incorporate the effect of elastic deformation into the modal solution, an elastic, perfectly plastic mode (EP-Mode) approximation for the same problem is proposed. By replacing each of the plastic hinges in the RP-Mode with a nature hinge and an elastic–plastic rotational spring, the fundamental features of the dynamic elastic–plastic behavior of the two colliding beams are revealed. Both beams participate in energy dissipation, while the structural and geometrical parameters greatly influence the energy partitioning. It is shown from numerical examples that the EP-Mode solution provides a fairly good approximation compared with the RP complete solution and finite element simulation.     

Viscoplastic analysis for direct impact of sports balls

A coefficient of restitution (COR) is used to represent viscoplastic dissipation of energy in the contact region of colliding bodies [6]. A model has been developed that distinguishes between rate-independent plastic and rate-dependent viscous energy dissipation during impact. A nondimensional contact force shape factor for compression α is introduced which can be measured experimentally. The measured α and COR are used to separate the energy dissipated during collision into part due to plastic deformation and another part due to viscous dissipation. In comparison to the viscoelastic compliance model, the viscoplastic compliance model approximates the force profile accurately, especially in terms of the maximum force that occurs during impact.     

Dynamic buckling of a shallow arch under shock loading considering the effects of the arch shape

In this paper, the influence of the initial curvature of thin shallow arches on the dynamic pulse buckling load is examined. Using numerical means and a multi-dof semi-analytical model, both quasi-static and non-linear transient dynamical analyzes are performed. The influence of various parameters, such as pulse duration, damping and, especially, the arch shape is illustrated. Moreover, the results are numerically validated through a comparison with results obtained using finite element modeling. The main results are firstly that the critical shock level can be significantly increased by optimizing the arch shape and secondly, that geometric imperfections have only a mild influence on these results. Furthermore, by comparing the sensitivities of the static and dynamic buckling loads with respect to the arch shape, non-trivial quantitative correspondences are found.     

泡沫金属夹芯梁在重复冲击下的动态响应

为了研究重复冲击载荷作用下泡沫金属夹芯梁的动态响应,采用Abaqus数值仿真软件,基于可压碎泡沫模型（crushable foam）,建立了泡沫金属夹芯梁遭受楔形质量块冲击的有限元模型。通过将仿真获得的夹芯梁上下面板最终挠度与重复冲击实验结果进行对比,验证仿真方法的准确性。在此基础之上,分析了泡沫金属夹芯梁在楔形质量块重复冲击作用下的变形模式、加卸载过程以及能量耗散特性。结果表明,在重复冲击载荷作用下,夹芯梁的变形不断累积,上面板主要出现局部凹陷和整体弯曲,而芯层则是局部压缩,下面板表现为整体弯曲。在重复加卸载过程中,加卸载刚度随着冲击次数的增加而增大。随着冲击次数的增加,上面板和芯层的能量吸收增量不断减小,而下面板的能量吸收增量不断增加,且最终均趋于稳定。泡沫金属夹芯梁的塑性变形能增量不断减小,而回弹系数随着冲击次数逐渐增加,最后趋于稳定值。     

Numerical study of the plastic behaviour in tension of welds in high strength steels

The influence of the mismatch between material properties and constraint on the plastic deformation behaviour of the heat affected zone of welds in high strength steels is investigated in this study, using finite element simulations. An elastoplastic implicit three-dimensional finite element code (EPIM3D) was used in the analysis. The paper presents the mechanical model of the code and the methodology used for the numerical simulation of the tensile test of welded joints. Numerical results of the tensile test of welded samples with different hypothetical widths for the Heat Affected Zone and various material mismatch levels are shown. The analysis concerns the overall strength and ductility of the joint and in relation to the plastic behaviour of the heat affected zone. The influence of the yield stress, tensile strength and constraint on the stress and plastic strain distribution in the soft heat affected zone is also discussed.