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。     

粘性介质中的长壳在冲击载荷作用下的刚塑性动力响应

本文研究了粘性介质中的固支长圆柱壳受均布冲击侧压时的塑性动力响应,得到了解析解,并对此解进行了讨论。当介质阻尼参数β趋于零时,本文结果与无阻尼解一致。文中还画出了阻尼参数及壳体的长度参数对长壳运动时间的影响曲线。     

固支加筋方板在爆炸载荷作用下的刚塑性动力响应分析

采用能量法分析了固支加筋方板在爆炸载荷作用下的刚塑性动力响应。提出了该类结构在这种载荷作用下的两种变形模态和模态判别条件，导出了计及膜力影响的最大残余横向变形的计算方法及计算公式。并对两种变形模态进行了试验研究，取得了理论计算值与试验值相一致的好结果。     

爆炸荷载下矩形板的塑性动力响应

本文采用Jones-Sawczuk控制方程,导出了脉冲荷载下矩形板最大残余挠度的简单理论计算公式,并应用该公式和动态屈服条件,计算了固支方板在爆炸荷载下的最大残余挠度值,与试验结果比较,取得了令人满意的结果。     

冲击载荷作用下阻尼介质中刚塑性圆板的动力响应

1.引言阻尼介质对结构塑性动力响应的影响属于流体与固体的耦合运动。在分析中往往将流体对固体的作用采用一个相当的阻力来代替。当流体为水时,这一阻力可表示为f=α(?)。其中,f为圆板单位面积上流体阻力;α为阻尼系数,它与流体介质密度及其波速有关;(?)为圆板横向速度。Kumar在1982年曾采用此方法得到了矩形载荷作用下简支圆板在阻尼介质中的动力响应完全解。但同样的结果早在1963年就由苏联学者     

局部冲击作用下刚塑性平板的动力响应和失效模式

基于理想刚塑性的材料模型假定,同时考虑靶板弯曲塑性变形和剪切滑动,完整地分析了平板受刚性体撞击或受局部压力脉冲冲击的动力响应和失效模式。得到了撞击物侵彻深度、靶板穿透条件、塑性变形范围等特征变形破坏参数的解析表达式。讨论了撞击物速度、压力脉冲的冲量和形状等参量对响应和破坏模式的影响。比较了刚塑性理论分析结果与相关的实验和弹塑性数值计算结果。     

刚塑性圆板受水下爆炸载荷时的动力响应

分析了简支刚塑性圆板受水下爆炸载荷时的塑性动力响应。考虑到流固耦合作用,应用Taylor平板理论求水下爆炸压力,用刚塑性法分析了圆板的永久变形场,引入膜力因子考虑了圆板大变形时的膜力效应。计算结果同用ABAQUS程序的计算结果进行了比较,表明不考虑空泡时所得结果较精确。最后考察了流固耦合作用及空泡对结构响应的影响。     

载荷作用区域对刚塑性简支梁动力响应的影响

本文研究了载荷作用区域大小对刚塑性简(固)支梁塑性动力响应的影响,得到了中、高载界限值的表达式,并对它进行了详细的讨论。文中还给出了中载和高载情况时各相的具体解答。     

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。     

Identification of the Impulsive Load on an Elastic Rectangular Plate

The paper presents a stable solution to an ill-posed problem of identification of the time-dependent impulsive load acting on a plate (an inverse elastic problem). The time dependence of the deformation at one point of the plate is known from a numerical analysis, where errors occurring in a real experiment are modeled. The results obtained are compared with data for a rectangular plate under impact loading     

Circular Sandwich Plates under Local Impulsive Loads

The axisymmetric transverse vibrations of a circular elastic sandwich plate under impulsive surface and linear loads are studied. To describe the kinematics of the asymmetric plate, the hypotheses of broken normal are adopted. The core is a lightweight material. Analytical solutions are obtained using Heaviside functions and Dirac delta-function. The solutions are analyzed numerically     

Stress Wave Field Near a Notched Boundary in Anisotropic Plates under Impulsive Loading

The stress distribution near a rectilinear boundary and a boundary with a notch of different depths in an anisotropic plate is analyzed. The plate boundary is under the action of a surface or embedded impulsive source. The results presented have been obtained using the dynamic photoelastic method for optically sensitive orthotropic plates. The results for orthotropic and isotropic plates with different ratios of notch depth to wavelength are analyzed     

低速冲击载荷下加筋板弹塑动力响应分析

给出了一种半解析方法求解加筋板在横向低速冲击载荷下的非线性弹塑动力响应分析。考虑大变形的影响，采用增量型本构关系，得到膜力、弯矩增量与应变增量的关系，忽略面内惯性力的影响，运用Hamilton变分原理，得到加筋板增量形式动响应控制方程，最后采用增量形式的迦辽金法来求解。     

加筋板弹性大挠度的冲击响应分析

用半解析的方法分析了横向冲击载荷下加筋板的非线性瞬态响应。考虑膜力的存在 ,忽略筋截面上的剪切应力 ,引入板的应力函数 ,采用离散加筋板模型 ,运用能量原理建立加筋板的动响应控制方程。假设挠度为双级数形式 ,运用迦辽金法 ,将加筋板的动响应方程转化为一个多自由度的动力系统 ,采用数值方法来求解。最后给出了几个模型的计算结果。     

A numerical method for clamped thin rectangular plates carrying a uniformly distributed load

A numerical method for clamped thin rectangular plates carrying a uniformly distributed load and the exact solution of the governing equations are given. The solution is presented in a simple form suitable for direct practical use. The method is a very simple and practical approach. The results are compared with those reported in the previous papers Published in Prikladnaya Mekhanika, Vol. 43, No. 6, pp. 126–143, June 2007.     

Near-Boundary Stress Wave Field in Anisotropic Plates under Impulsive Load

The stress wave field and the behavior of waves near the free boundary in an orthotropic plate and at the interface between two anisotropic media are studied. The results presented were obtained using the dynamic photoelastic method and optically sensitive fibrous models. Experimental data for impulsively loaded plates with various boundary conditions are analyzed     

初曲矩形薄板的非线性动力屈曲研究

对两参数冲击载荷面内压缩作用下初曲矩形薄板的非线性动力屈曲问题进行了理论研究。首先采用双重余弦函数的组合确定了面内冲击矩形薄板的艾雷应力函数和中面力的分布；其次根据伽辽金法求得了初曲矩形薄板非线性动力屈曲问题的控制方程，基于巴拿赫压缩映象原理，采用逐次逼近方法求解了该控制方程。最后，应用本文发展的理论，给出了面内两参数冲击载荷作用下初曲矩形薄板动力屈曲响应的计算实例，计算结果与已有的实验结果较吻合     

Elastoplastic Deformation of a Compound Disk under Impulsive Loading

The small elastoplastic deformation theory and the finite-element method are used to analyze the behavior of a compound disk under axisymmetric impulsive loading. Numerical results are presented, which describe the development of plastic deformation, the effect of hardening and the duration of the loading impulse on the oscillatory elastoplastic deformation of the disk__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 4, pp. 94–99, April 2005.     

Influence of Geometrical Parameters on the Critical Load in Three-Dimensional Stability Problems for Rectangular Plates and Beams

Two- and three-dimensional stability problems for a rectangular plate under uniaxial compression are solved by the mesh method. It is shown that the difference between the critical loads obtained in the three- and two-dimensional problems is not greater than 5% for arbitrary fixation conditions and arbitrary length and thickness ratio of the plate