自由梁受集中质量横向撞击的刚-塑性动力响应

研究自由边界的矩形截面梁在自由端和对称中面分别受到质量块横向撞击后的刚－塑性动力响应，通过完全解分析、结合数值方法给出梁的瞬态变形，并讨论输入能量、质量比等参数对梁的最终变形、移行铰消失位置及能量耗散的影响。     

含切口悬臂梁的大变形塑性冲击动力响应

本文分析了含切口的悬臂梁受飞射物撞击的刚塑性动力响应的完全解,推导了考虑几何大变形效应的“双铰模式”的动力学方程,给出了计算方法和计算结果,最后讨论了耗散能的分配和切口对梁最终变形的影响。     

粘性介质上的悬臂梁在冲击载荷作用下的刚塑性动力响应

本文考虑了一个放置在粘性介质上的刚-理想塑性悬臂梁在自由端受冲击载荷时的小变形动力响应。具体讨论了线性粘性介质时矩形脉冲,线性衰减脉冲及瞬时冲击等加载情况,并与无介质解进行了比较,讨论了介质对梁的运动变形模式、最终挠度、能量吸性的影响。     

冲击作用下刚塑性拱的大变形响应分析

本文对受集中冲击作用的深圆拱的刚塑性动力响应进行了理论分析和数值计算，用瞬时构形法得到了问题的全程解，提出发生反向弯曲的必要条件和反向弯曲变形的近似分析方法，确定了反向弯曲出现的临界冲击速度范围，并讨论质量比，能量比和支承条件对结构的响应时间，塑性形区域和最变形的影响。本文理论分析结果与实验数据吻合。     

含缺陷的固支梁受冲击载荷作用的实验研究

本文报导了含缺陷的固支梁受圆柱形飞射物撞击的实验过程和实验结果,分析和讨论了输入能量、切口深度、质量比等参数对非完善梁塑性动力响应特性的影响。     

强冲击载荷下单向加筋板拉伸撕裂的临界条件

针对固支单向加筋板在冲击载荷下的拉伸撕裂临界条件开展研究,首先将均布冲击载荷下的固支单向加筋板简化为带板梁模型,基于固支梁冲击变形理论解给出了加筋板最大永久变形理论解,之后基于复合运动场模型,修正了固支梁端点拉伸应变与最大永久变形关系式,并以等效应变达到失效应变作为拉伸撕裂条件,建立了加筋板在冲击载荷下的拉伸撕裂临界条件。经过数值模拟验证,该最大永久变形理论解和拉伸撕裂临界条件具有适用性,理论与数值误差小于15%。     

基于能量原理确定系泊碰撞载荷的有限元法

准确地确定出船舶系泊时的撞击载荷, 对船舶及海洋平台的强度研究都是极其重要的. 提出了通过能量原理和有限元分析确定系泊撞击载荷的方法. 碰撞时, 动能和变形能满足能量守恒, 动能是包括附连水质量在内的船体总动能, 此动能在撞击时转化为变形能, 根据变形能与载荷的关系, 求出碰撞载荷. 通过具有碰撞载荷理论解的梁的验证, 表明该方法是完全可行的. 为实际工程提供了确定护舷撞击力的理论依据和计算方法.     

刚塑性自由梁中部在横向冲击下的初始变形模式

研究了均匀矩形截面刚塑性自由梁中部在小尺寸、平头、圆柱形刚性弹体撞击下的三种变形模式,即梁的刚体平动、单铰变形模式和三铰变形模式。考虑了刚性子弹冲击后在梁上形成的剪切冲塞,分析了子弹通过冲塞作用在梁中部的剪切力可能引起的梁的弯曲变形,找出了梁的初始变形模式对子弹大小、梁的尺寸和材料性能的依赖关系。     

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。     

再访结构弹塑性动力响应的异常行为

以ＬｅｅＬＨＮ的有限变形弹－塑性连续体的最小加速度原理为基础,对理想弹－塑性材料的两端铰支梁受矩形脉冲载荷作用时的动力行为进行了数值计算和分析,结果得到了梁的动力响应的异常现象,通过详细分析整个响应过程各个阶段梁的轴力、     

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…     

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.     

自由圆柱壳体在侧向非对称脉冲载荷下的塑性破坏

将壳体作为理想刚塑性材料，给出了两端自由金属圆柱薄壳体承受侧向非对称脉冲载荷下的变形和运动方程。针对矩形脉冲载荷，给出能量损耗分析。极高载情况下，２／３的外部输入能量转化为塑性功，其余的用于壳体的刚体运动。针对复杂结构的自由圆柱壳，能量法用于分析其破坏。理论预测与实验结果吻合较好。     

Dynamic response of a rigid plastic simply supported imperfect beam subjected to a uniform intense dynamic loading

This paper proposes a theoretical analysis for the dynamic response of a rigid perfectly plastic simply supported beam with an imperfection in the midspan cross-section under uniform step, pulse, and impulsive loading when support is assumed to be free to move inward. The complete solutions for an entire dynamic response process are given and the relationship between the distribution of energy dissipated at plastic hinges and the parameter of imperfection is also discussed.     

Experimental investigation on large deflection response of a frame impacted by a moving body

This paper reports on the experimental investigation of the dynamic large deflection response of a portal frame impacted at its midspan by a body moving at a certain speed. Both the deflection and velocity vs. time curves of the midspan and the dynamic history of a number of desired locations were recorded during the process of response. On the basis of the test data, the momentum and kinetic energy conversion between the frame and the moving body in the impact process are realized, and the occurrence and expansion of plastic regions are described. Investigation results show that the initial collision is approximately ideally inelastic, and that the elastic deformation plays a considerable role in the response though the input energy is much larger than the maximum elastic energy capacity of the beam member; therefore, in a general impact, the energy ratio should not be regarded as a sufficient criterion for a rigid—plastic solution. The ratios of the impulse transferred to and the energy absorbed by the frame in the initial collision to that carried by the moving body before impact is only related to the ratiobetween the equivalent mass of the frame paticipating in the initial collision and the mass of the impacting body, having nothing to do with the impacting velocity to a certain extent.     

Plastic limit analysis of incompatible finite element method

This paper describes an incompatible finite element model satisfying the consistencycondition of energy to solve the numerical precision problem of finite element solution inperfectly plastic analysis.In this paper the reason and criterion of the application of themodel to plastic limit analysis are discussed,and an algorithm of computing plastic limitload is given.     

基于一种广义梁理论的弹性地基FGM简支梁自由振动解析解

基于一种扩展的n阶广义剪切变形梁理论(n-GBT),应用Hamilton原理,建立了以轴向位移、横向位移及转角为未知函数的Winkler-Pasternak弹性地基功能梯度材料(FGM)梁的自由振动方程,采用Navier法获得了弹性地基FGM简支梁自由振动的精确解。与多种梁理论预测结果进行比较,讨论并给出了GBT阶次n的理想取值;分析了梯度指标、跨厚比及地基刚度对FGM梁频率的影响。结果表明:本文方法有效且适用范围广,若采用高阶剪切梁理论模型,宜取n≥3的奇数;FGM梁的自振频率随材料梯度指标的增大而减小;随跨厚比的增加而增大,但当跨厚比大于20,跨厚比增加对频率的影响很小;随地基刚度的增加而增大,地基刚度足够大时,频率趋于收敛。