靶板在爆炸成型弹丸垂直侵彻下的层裂

为了准确掌握靶板层裂过程和规律，基于波动力学和基本假设，建立了爆炸成型弹丸（explosively formed projectile，EFP）垂直侵彻有限厚靶板时层裂的力学模型，得到了层裂点的表达式。研究结果表明:EFP速度为1 800 m/s、靶板厚度从35 mm增大到60 mm时，靶板背面弯月形层裂区厚度不断增大，弯月形层裂区长度不断减小；靶板厚度保持40 mm不变、EFP速度从1 600 m/s增大到1 900 m/s时，靶板背面层裂区厚度不断减小，弯月形层裂区长度不断增大。开展了EFP侵彻40 mm厚装甲钢靶板的实验，将实验结果和理论计算结果进行对比分析，两者吻合较好。     

长管体斜侵彻有限厚均质靶板简化模型

进行了长管体斜侵彻有限厚靶板的试验. 建立了长管体斜侵彻有限厚均质靶板的简化模型，描述了侵彻的物理图像，对长管体的受力和运动情况进行了分析. 弹坑的剖面形状与长杆体斜侵彻有限厚靶板极为相似，而在正面及背面弹坑形状出现了明显的两个``犄角'. 计算结果表明, 在火炮初速范围内，长管体的剩余速度随撞击速度的增加近似为线性递增. 试验与计算的极限穿透速度吻合较好，说明所建立的模型能够描述侵彻过程.     

陶瓷靶抗射流侵彻的理论模型及数值模拟

以球型空腔膨胀理论为基础,提出了一个计算陶瓷靶板阻力的损伤模型,该模型考虑了损伤因子对陶瓷靶板弹道性能的影响.结合不可压缩流体力学理论,对射流侵彻陶瓷靶板的侵彻速度进行了理论值计算,并与未考虑损伤的侵彻速度进行了比较,该模型的计算结果更接近实验结果.建立了射流侵彻陶瓷靶板的数值计算模型,对铜射流侵彻陶瓷靶的动态破坏过程进行了研究,讨论了药型罩的锥角、壁厚对射流侵彻结果的影响,结果表明:相同锥角的药型罩,壁厚对陶瓷靶板孔径的影响较小;同壁厚的药型罩,随着锥角的增大,侵彻孔径增大.侵彻速度的数值模拟结果与理论结果进行了比较,得到了较好的一致性.     

变截面爆炸成型弹丸垂直侵彻装甲钢板靶后破片质量模型

考虑爆炸成型弹丸(explosively-formed projectile,EFP)变截面的特性,基于流体力学Bernoulli方程和绝热剪切理论,改进了EFP垂直侵彻装甲钢板靶后破片质量模型,结合已有的试验数据和数值仿真方法检验了改进后模型的准确性。在此基础上,分析了靶板厚度和EFP着靶速度对靶板和EFP产生的靶后破片质量的影响规律。结果表明:相比于改进前的模型,改进后的模型能够更准确地解释靶板和EFP产生的靶后破片质量随靶板厚度和EFP着靶速度的变化规律;当EFP着靶速度为1 650 m/s时,随着靶板厚度从30 mm增大到70 mm,EFP变截面的特性对靶板和EFP产生靶后破片质量的影响不断增强;当靶板厚度为40 mm时,随着EFP着靶速度从1 650 m/s升高到1 860 m/s,EFP变截面的特性对靶板和EFP产生靶后破片质量的影响不断减弱。     

大锥角药型罩聚能装药侵彻混凝土实验研究

采用脉冲X光照相及威力效应实验,对两种大锥角药型罩装药结构侵彻体的形成及它们对混凝土的侵彻能力进行了研究,获得了两种大锥角药型罩装药结构形成侵彻体的形状、头尾速度及它们对混凝土靶的侵彻参量,对比了半无限厚混凝土靶板及多层有限厚薄靶板对侵彻威力的影响。结果表明,在小炸高条件下,两种大锥角药型罩装药结构能够形成较理想的爆炸成型杆式侵彻体,在混凝土靶中形成孔深与孔径兼顾的孔道。     

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对穿甲弹准定常侵彻半无限厚靶 板的问题,提出了一个考虑应变率效应的包括带有蘑菇头的未碎弹体、弹的破碎及扩孔区、 靶的破坏和扩孔区的简化侵彻模型. 通过侵彻过程中简化模型各部分的力学守恒定律,得到 了侵彻问题的简化常微分方程组,并以分析和数值计算相结合的方法分析了弹、靶强度的应 变率效应及弹破碎应变的应变率效应对侵彻效果的影响. 数值计算结果跟实验结果对比基本 一致.     

切割式多爆炸成形弹丸成形及对钢靶的穿甲效应

基于60mm 弧锥结合罩EFP装药,设计了一种在药型罩前适当位置安装可抛掷的十字形网栅的 切割式多爆炸成形弹丸战斗部结构,并进行了靶场静爆实验。由实验结果可知,该战斗部经网栅切割后能形 成5枚具有一定质量和方向性、可贯穿6mm 厚45钢靶的弹丸,有效提高了毁伤元的数量和毁伤面积。利用 LS-DYNA程序对弹丸侵彻45钢靶过程进行了数值模拟,分析了弹丸侵彻钢靶过程。通过对中心弹丸穿靶 模拟数据的处理,得到了其余尺寸弹丸侵彻不同厚度45钢靶的极限穿透速度计算公式,该公式可对相关切割 式多爆炸成形弹丸战斗部威力优化设计和评估提供依据。     

卵形头部刚性弹侵彻厚靶的半解析模型

基于确定靶体中速度势和速度场的方法分析刚性卵形头部弹体对有限厚靶的侵彻问题。推导了靶体中速度场与应力场的计算方法,利用据此编制的计算程序,计算了卵形头部钢弹体对铝靶的侵彻与穿透问题,给出了侵彻深度与剩余速度同初始碰撞速度的关系。结果表明,在对实验参数不经过任何调整的情况下,得到了同试验曲线相吻合的结果。可以看出该方法的有效性。     

刚性弹体斜侵彻贯穿混凝土靶的姿态偏转理论模型

为描述刚性弹体斜侵彻贯穿混凝土靶的弹体姿态变化,针对已有贯穿模型存在的问题,在斜侵彻贯穿过程中考虑了弹体转动惯量对姿态偏转的影响,根据弹体贯穿靶板后的成孔特性重新假设了背靶面崩落块形状,并在弹体贯穿出靶的剪切冲塞阶段引入了弹体姿态二次偏转机制,从而建立了刚性弹体斜侵彻贯穿混凝土靶的姿态偏转理论模型,同时给出了混凝土薄靶、中厚靶和厚靶的分类方法。多种侵彻状态的理论模型计算结果均与实验测量结果吻合较好,表明本文理论模型可有效预估弹体斜侵彻贯穿混凝土靶的弹体出靶姿态。     

三维自适应FE-SPH耦合算法在多层间隔金属靶侵彻问题中的应用

鉴于有限元算法不能有效地模拟侵彻过程所产生的金属碎片, 本文中基于三维自适应FE-SPH耦合算法的基本理论, 自主开发了模拟多层间隔金属靶侵彻问题的三维FE-SPH耦合计算程序。该程序采用四面体单元对多层间隔金属靶侵彻模型进行初始离散, 计算过程中, 当四面体单元等效塑性应变超过某一设定值时, 单元自动转化为SPH粒子, 并引入有限单元-粒子接触算法和耦合算法, 实现大变形和破碎区域采用SPH方法计算, 克服有限元法单元畸变存在的问题。多层间隔靶侵彻算例分析表明, 三维FE-SPH耦合计算程序采用等效塑性应变作为转化判据计算结果较稳定, 并且能够有效地再现侵彻过程中所产生的碎片, 能够模拟侵彻碎片对后层靶的毁伤效应。     

On the sliding mode control of a Ball on a Beam system

This paper investigates the sliding mode control of the Ball on a Beam system. A static and a dynamic sliding-mode controllers are designed using a simplified model of the system; the simplified model renders the system feedback linearizable. Then, a static and a dynamic sliding-mode controllers are designed using the complete model of the Ball on a Beam system. Simulation results indicate that the proposed controllers work well. The four proposed controllers are implemented using an experimental setup. Implementation results indicate that the proposed control schemes work well. As expected, it is found that the proposed two controllers which are designed using the complete model of the system gave better performance than the ones designed using the simplified model of the system. In addition, the experimental results indicate the two dynamic controllers greatly reduce the chattering usually associated with sliding-mode controllers.     

考虑动水压力和流固耦合的库水-坝体-地基系统建模与动力分析

结合动水压力模型和罚函数耦合算法,考虑地基和坝体结构的接触以及边界效应,构建动水压力和流固耦合作用下的库水-坝体-地基地震响应分析模型和方法。通过与试验结果及解析解和实测数据对比,验证了本文模型和方法能准确反映系统地震荷载和分析整体耦合系统的动力响应,引入罚函数处理流固耦合界面能提高计算收敛速度。进一步以某重力坝工程实际为背景,验证本文构建的模型和方法适用于库水-坝体-地基耦合系统动力分析的可行性,并分析了地震作用下地基变形对系统动力响应的影响。     

Behaviors of three BCC metal over a wide range of strain rates and temperatures: experiments and modeling

The elastic–plastic behaviors of three body-centered cubic metals, tantalum, tantalum alloy with 2.5% tungsten, and AerMet 100 steel, are presented over a wide range of strains (15%), strain rates (10⁻⁶–10⁴ s⁻¹) and temperatures (77–600°F). Johnson-Cook and Zerilli-Armstrong models were found inadequate to describe the observations. A new viscoplastic model is proposed based on these experimental results. The proposed constitutive model gives good correlations with these experimental results and strain-rate jump experiments. In the next paper (Liang, R., Khan A.S., 2000. Behaviors of three BCC metals during non-proportional multi-axial loadings and predictions using a recently proposed model. International Journal of Plasticity, in press), multi-axial loading results on these materials and comparison with the proposed model will be presented.     

Closed-form dynamics of a hexarot parallel manipulator by means of the principle of virtual work

In this research, a systematic approach to solving the inverse dynamics of hexarot manipulators is addressed using the methodology of virtual work. For the first time, a closed form of the mathematical formulation of the standard dynamic model is presented for this class of mechanisms. An efficient algorithm for solving this closed-form dynamic model of the mechanism is developed and it is used to simulate the dynamics of the system for different trajectories. Validation of the proposed model is performed using SimMechanics and it is shown that the results of the proposed mathematical model match with the results obtained by the SimMechanics model.     

Simulation of liquid–vapour phase transitions and multiphase flows by an improved lattice Boltzmann model

An improved lattice Boltzmann (LB) model with a new scheme for the interparticle interaction force term is proposed in this paper. Based on the improved LB model, the equation-free method is implemented for simulating liquid–vapour phase change and multiphase flows. The details of phase separation are presented by numerical simulation results in terms of coexistence curves and spurious currents. Compared with existing models, the proposed model can give more accurate results in a wider temperature range with the spurious currents reduced and less time consumed. Characteristics of phase separation can be quickly and accurately reflected by the proposed method. Then, the contact angle of the solid surface is numerically investigated based on the proposed model. The proposed model is valid for steady flow with near zero velocity; unsteady cases will be investigated in further studies. This work will be helpful for our long-term aim of multi-scale modelling of convective boiling.     

Simulation of sudden-expansion and swirling gas-particle flows using a two-fluid particle-wall collision model with consideration of the wall roughness

A two-fluid particle-wall collision model with consideration of wall roughness is proposed. It takes into account the effects of the friction, restitution and in particular the wall roughness, and hence the redistribution of Reynolds stress in different directions, the absorption of turbulent energy from the mean motion and the attenuation of particle motion by the wall. The proposed model is used to simulate sudden-expansion and swirling gas-particle flows and is validated by comparing with expermental results. The results show that the proposed model gives better results than those obtained by the presently used zero-gradient condition. Hence, it is suggested that the proposed model should be used as the wall boundary condition for the particle phase in place of the presently used boundary condition. The project supported by the Special Funds for the Major State Basic Research, China (G-1999-0222-08)     

Nonlinear dependence of viscosity in modeling the rate-dependent response of natural and high damping rubbers in compression and shear: Experimental identification and numerical verification

The rate-dependent behavior of filled natural rubber (NR) and high damping rubber (HDR) is investigated in compression and shear regimes. In order to describe the viscosity-induced rate-dependent effects, a constitutive model of finite strain viscoelasticity founded on the basis of the multiplicative decomposition of the deformation gradient tensor into elastic and inelastic parts is proposed. The total stress is decomposed into an equilibrium stress and a viscosity-induced overstress by following the concept of the Zener model. To identify the constitutive equation for the viscosity from direct experimental observations, an analytical scheme that ascertains the fundamental relation between the inelastic strain rate and the overstress tensor of the Mandel type by evaluating simple relaxation test results is proposed. Evaluation of the experimental results using the proposed analytical scheme confirms the necessity of considering both the current overstress and the current deformation as variables to describe the evolution of the rate-dependent phenomena. Based on this experimentally based motivation, an evolution equation using power laws is proposed to represent the effects of internal variables on viscosity phenomena. The proposed evolution equation has been incorporated in the finite strain viscoelasticity model in a thermodynamically consistent way. Simulation results for simple relaxation tests, multi-step relaxation tests and monotonic tests at different strain rates using the developed model show an encouraging correlation with the experiments conducted on HDR and NR in both compression and shear regimes. Finally, an approach to extend the proposed evolution equation for rate-dependent cyclic processes is proposed. The simulation results are critically compared with the experiments.     

高体积含量非线性黏弹复合材料有效性质

提出了一个细观力学模型,可用于预测高体积含量非线性黏弹复合材料有效性质.该模型基于广义割线模量法、双球法以及Laplace-Carson变换技术.所提出的模型对玻璃微珠填充高密度聚乙烯(GB/HDPE)复合材料的应力应变关系进行了预测,结果与文献实验结果吻合;计算结果还表明在高体积百分比下文中所提出的方法比基于MT方法预测的粘性效应明显减弱;最后还将所提方法与线黏弹框架下的均质化模型做了比较,结果表明GB/HDPE表现出明显的非线性,线黏弹本构无法描述应变率对其力学行为的影响.     

A Phenomenological Constitutive Model for Describing Thermo-Viscoplastic Behavior of Al-Zn-Mg-Cu Alloy Under Hot Working Condition

In order to predict the high-temperature deformation behavior of Al-Zn-Mg-Cu alloy, the hot compression tests were conducted in the strain rate range of (0.001–0.1)s⁻¹ and the forming temperature range of (573–723) K. Based on the experimental results, Johnson-Cook model was found inadequate to describe the high-temperature deformation behavior of Al-Zn-Mg-Cu alloy. Therefore, a new phenomenological constitutive model is proposed, considering the coupled effects of strain, strain rate and forming temperature on the material flow behavior of Al-Zn-Mg-Cu alloy. In the proposed model, the material constants are presented as functions of strain rate. The proposed constitutive model correlates well with the experimental results confirming that the proposed model can give an accurate and precise estimate of flow stress for the Al-Zn-Mg-Cu alloy investigated in this study.     

连接结构接触界面非线性力学建模研究

连接界面上存在的跨尺度、多物理场和非线性行为是引起结构复杂非线性动力学的主要原因。由于连接界面力学行为的复杂性,以及对连接界面进行直接试验观测的困难,连接界面的力学建模一直是非常具有挑战性的科学问题。本文首先从分析结合面的跨尺度物理机理入手,将名义的光滑平面视作凹凸不平的粗糙面,考虑单个微凸体的黏滑摩擦行为,建立接触载荷与变形的非线性关系,然后采用GW(Greenwood和Williamson, GW)模型数理统计方法建立整个粗糙界面的跨尺度力学模型,并与公开文献中试验结果进行对比。然后考虑连接界面典型非线性特征,提出一种改进的Iwan唯象模型,利用精细有限元方法获得非线性特征结果,采用系统辨识理论建立连接结构的降阶力学模型,并利用有限元结果进行模型验证。结果表明,本文提出的粗糙界面跨尺度模型在法向载荷较小时与试验结果吻合较好,改进的Iwan模型能够较好描述连接界面非线性特征,并与有限元结果吻合较好。