Partial penetration of annular grooved projectiles impacting ductile metal targets

Changing and optimizing the projectile nose shape is an important way to achieve specific ballistic performance. One special ballistic performance is the embedding effect, which can achieve a delayed high-explosive reaction on the target surface. This embedding effect includes a rebound phase that is significantly different from the traditional penetration process. To better study embedment behavior, this study proposed a novel nose shape called an annular grooved projectile and defined its interaction process with the ductile metal plate as partial penetration. Specifically, we conducted a series of low-velocity-ballistic tests in which these steel projectiles were used to strike 16-mm-thick target plates made with 2024-O aluminum alloy. We observed the dynamic evolution characteristics of this aluminum alloy near the impact craters and analyzed these characteristics by corresponding cross-sectional views and numerical simulations. The results indicated that the penetration resistance had a brief decrease that was influenced by its groove structure, but then it increased significantly-that is, the fluctuation of penetration resistance was affected by the irregular nose shape. Moreover, we visualized the distribution of the material in the groove and its inflow process through the rheology lines in microscopic tests and the highlighted mesh lines in simulations. The combination of these phenomena revealed the embed-ment mechanism of the annular grooved projectile and optimized the design of the groove shape to achieve a more firm embedment performance. The embedment was achieved primarily by the target material filled in the groove structure. Therefore, preventing the shear failure that occurred on the filling material was key to achieving this embedding effect.     

Study on performance degradation and failure analysis of machine gun barrel

An increase in the use of the gun barrel will cause wear of the inner wall, which reduces the muzzle velocity and the spin rate of the projectile. The off-bore flight attitude and trajectory of the projectile also change, affecting the shooting power and the accuracy. Exterior ballistic data of a high-speed spinning projectile are required to study the performance change. Therefore, based on the barrel's accelerated life test, the whole process of projectile shooting is reproduced using numerical simulation technology, and key information on the ballistic performance change at each shooting stage are acquired. Studies have shown that in the later stages of barrel shooting, the accuracy of shooting has not decreased significantly. However, it is found that the angle of attack of the projectile increases as the wear of the barrel increases. The maximum angle of attack reaches 0.106 rad when the number of shots reaches 4300. Meanwhile, elliptical bullet hole has appeared on the target at this shooting stage. Through combining external ballistic theory with simulation results, the primary reason of this phenomenon is found to be a significant decrease in the muzzle spin rate of the projectile. At the end of the barrel life, the projectile muzzle spin rate is 57.5% lower than that of a barrel without wear.     

爆炸成型弹丸侵彻靶板的数值仿真

基于LS-DYNA的动力学分析通用有限元程序,对爆炸成型弹丸形成和侵彻靶板过程进行了数值仿真。建立了数值仿真模型,利用数值模拟技术实现了弹丸的形成以及不同药型罩结构对爆炸成型弹丸形成的影响,实现了侵彻过程中弹丸的变形与靶板的破坏状况可视化,同时对仿真结果进行了分析。通过对爆炸成型弹丸侵彻靶板的数值仿真,为开展爆炸成型弹丸毁伤机理研究奠定了良好的基础。     

Damage modeling of ballistic penetration and impact behavior of concrete panel under low and high velocities

This work presents a numerical simulation of ballistic penetration and high velocity impact behavior of plain and reinforced concrete panels. This paper is divided into two parts. The first part consists of numerical modeling of reinforced concrete panel penetrated with a spherical projectile using concrete damage plasticity (CDP) model, while the second part focuses on the comparison of CDP model and Johnson-Holmquist-2 (JH-2) damage model and their ability to describe the behavior of concrete panel under impact loads. The first and second concrete panels have dimensions of 1500 mm × 1500 mm × 150 mm and 675 mm × 675 mm × 200 mm, respectively, and are meshed using 8-node hexahedron solid elements. The impact object used in the first part is a spherical projectile of 150 mm diameter, while in the second part steel projectile of a length of 152 mm is modeled as rigid element. Failure and scabbing characteristics are studied in the first part. In the second part, the com-parison results are presented as damage contours, kinetic energy of projectile and internal energy of the concrete. The results revealed a severe fracture of the panel and high kinetic energy of the projectile using CDP model comparing to the JH-2 model. In addition, the internal energy of concrete using CDP model was found to be less comparing to the JH-2 model.     

不同截面形状复合长杆弹对陶瓷复合靶板侵彻研究

采用数值模拟技术研究了由3种不同截面形状的钨芯外包覆一层钢,形成的钢包覆层复合长杆弹在入射速度为1200m/s～1700m/s时对陶瓷/金属复合靶板的侵彻过程。结果表明:对于同一入射速度、相同弹体长度、同种材料的弹芯和包覆层以及靶板材料而言,等面积的六边形截面钨芯复合长杆弹的侵彻深度明显大于圆形及方形截面,方形及六边形截面与和它们等外接圆形成的圆形截面复合长杆弹侵彻深度没有明显差别,本研究认为这是与不同截面钨芯的外接圆直径直接相关。六边形截面长杆弹侵彻过程中的自锐化现象是其侵彻深度明显大于其它两种弹体的主要原因。     

脉冲末修弹落点预测导引方法研究

在分析剩余射程影响因素的基础上,以弹道特征参数弹道高y及速度矢量分量Vx和Vy为解释变量,以回归分析方法为数学工具,建立脉冲末修弹剩余射程预测模型。以目标点与弹丸预测落点之间的差值为广义弹道偏差,结合数值仿真,对落点预测导引进行深入研究,验证了回归分析模型的可行性。     

Long-rod penetration: the transition zone between rigid and hydrodynamic penetration modes

Long-rod penetration in a wide range of velocity means that the initial impact velocity varies in a range from tens of meters per second to several kilometers per second. The long rods maintain rigid state when the impact velocity is low, the nose of rod deforms and even is blunted when the velocity gets higher, and the nose erodes and fails to lead to the consumption of long projectile when the velocity is very high due to instantaneous high pressure. That is, from low velocity to high velocity, the projectile undergoes rigid rods, deforming non-erosive rods, and erosive rods. Because of the complicated changes of the projectile, no well-established theoretical model and numerical simulation have been used to study the transition zone. Based on the analysis of penetration behavior in the transition zone, a phenomenological model to describe target resistance and a formula to calculate penetration depth in transition zone are proposed, and a method to obtain the boundary velocity of transition zone is determined. A combined theoretical analysis model for three response regions is built by analyzing the characteristics in these regions. The penetration depth predicted by this combined model is in good agreement with experimental result.     

Analysis on the resistive force in penetration of a rigid projectile

According to the dimensionless formulae of DOP (depth of penetration) of a rigid projectile into different targets, the resistive force which a target exerts on the projectile during the penetration of rigid projectile is theoretically analyzed. In particular, the threshold V_c of impact velocity applicable for the assumption of constant resistive force is formulated through impulse analysis. The various values of V_c corresponding to different pairs of projectile-target are calculated, and the consistency of the relative test data and numerical results is observed.     

Attitude deflection of oblique perforation of concrete targets by a rigid projectile

A perforation model is developed to predict the attitude deflection in the oblique perforation of concrete targets by a rigid projectile, in which the inertial moment of the projectile is introduced, together with taking the attitude deflection during the shear plugging sub-stage into account, and the shape of the plug formed on the rear surface of target is also re-investigated. Moreover, a new classification of concrete targets is proposed based on the target thickness, with which the attitude deflections in different kinds of concrete targets are analyzed. It is found that the numerical results by using the new perforation model are in good agreement with the previous experimental data and simulated results. Furthermore, the variations of the attitude deflection with the initial conditions (the initial attitude angle and the initial impact velocity) are investigated.     

旋成体射弹倾斜入水运动仿真

为了研究运动参数和弹头外形对弹体斜入水过程的影响规律,采用气液两相流体积分数和水汽空化模型,通过嵌套网格实现刚体三自由度运动学和动力学耦合,模拟了弹体以80～100 m/s速度倾斜入水开空泡阶段的运动过程。经文献实验验证,入水弹体速度与位移的误差为0～6%和-8%～0,转动角度误差为-6%～0。通过对入水速度和入水角度的多工况模拟研究,发现入水速度增大,弹体轴向冲击载荷增大,最大载荷与速度的平方呈线性关系,弹体速度非线性衰减率大;入水角增大,弹体转动角速率减小,运动稳定性强,速度衰减率不受入水角影响。与圆锥头部弹体相比,采用头部阶梯状修型后的弹体的平均速度衰减率、转动角速率和最大轴向冲击载荷分别降低到66.7%、40%和77.2%,显著提高了运动稳定性。     

Damage of multi-layer spaced metallic target plates impacted by radial layered PELE

Three different kinds of PELE (the penetrator with lateral efficiency) were launched by ballistic artillery to impact the multi-layer spaced metal target plates. The impact velocities of the projectiles were measured by the velocity measuring system. The damage degree and process of each layer of target plate impacted by the three kinds of projectiles were analyzed. The experimental results show that all the three kinds of projectiles have the effect of expanding holes on the multi-layer spaced metal target plates. For the normal structure PELE(without layered) with tungsten alloy jacket and the radial layered PELE with tungsten alloy jacket, the diameters of holes on the second layer of plates are 3.36 times and 3.76 times of the diameter of the projectile, respectively. For radial layered PELE with W/Zr-based amorphous composite jacket, due to the large number of tungsten wires dispersed after the impact, the diameter of the holes on the four-layer spaced plates can reach 2.4 times, 3.04 times, 5.36 times and 2.68 times of the diameter of the projectile. Besides, the normal structure PELE with tungsten alloy jacket and the radial layered PELE whit tungsten alloy jacket formed a large number of fragments impact marks on the third target plate. Although the number of fragments penetrating the third target plate is not as large as that of the normal structure PELE, the area of dispersion of fragments impact craters on the third target plate is larger by the radial layered PELE. The radial layered PELE with W/Zr-based amorphous composite jacket released a lot of heat energy due to the impact of the matrix material, and formed a large area of ablation marks on the last three target plates.     

高速/超高速碰撞效应研究

高速/超高速碰撞会产生大量破片,并伴随闪光、等离子体等现象.高速碰撞材料受冲击产生射流及破片高温会引起碰撞闪光现象,获得了碰撞等离子体电磁场强度的变化规律.采用数值仿真与理论分析相结合的方法,获得了高速碰撞破片云团分布规律.     

Research and development on hypervelocity impact protection using Whipple shield: An overview

Whipple shield, a dual-wall system, as well as its improved structures, is widely applied to defend the hypervelocity impact of space debris (projectile). This paper reviews the studies about the mechanism and process of protection against hypervelocity impacts using Whipple shield. Ground-based experiment and numerical simulation for hypervelocity impact and protection are introduced briefly. Three steps of the Whipple shield protection are discussed in order, including the interaction between the projectile and bumper, the movement and diffusion of the debris cloud, and the interaction between the debris cloud and rear plate. Potential improvements of the protection performance focusing on these three steps are presented. Representative works in the last decade are mentioned specifically. Some prospects and suggestions for future studies are put forward.     

Influence of thickness and projectile shape on penetration resistance of the compliant composite

The present study deals with development of conceptual proof for jute rubber basedflexible composite block to completely arrest the projectile impacting the target at high velocity impact of 400 m/s through numerical simulation approach using finite element (FE) method. The proposed flexible composite blocks of repeating jute/rubber/jute (JRJ) units are modelled with varying thickness from 30 mm to 120 mm in increments of 30 mm and impacted by flat (F), ogival (O) and hemispherical (HS) shaped projectiles. All the considered projectiles are impacted with proposed flexible composite blocks of different thicknesses and the penetration behaviour of the projectile in each case is studied. The penetration depth of the projectile in case of partially penetrated cases are considered and the effect of thickness and projectile shape on percentage of penetration depth is statistically analyzed using Tagu-chi's design of experiments (DOE). Results reveal that the though proposedflexible composite block with thickness of 90 mm is just sufficient to arrest the complete penetration of the projectile, considering the safety issues, it is recommended to use theflexible composite with thickness of 120 mm. The nature of damage caused by the projectile in the flexible composite is also studied. Statistical studies show that thickness of the block plays a prominent role in determining the damage resistance of the flexible composite.     

一种连续修正速度方向的导引方法

考虑制导炮弹由身管武器发射,其飞行控制能力和导引信息量有限,基于预测落点位置偏差量来修正速度方向并在控制时间内连续分配导引指令的思想,提出了一种新的三维末制导方法。根据非线性弹道方程组的级数解预测弹丸落点位置,得到落点与目标的偏差,并提出了两种通过此偏差解算当前速度方向修正量的方法。取剩余飞行时间为修正时间,通过将速度方向修正量分配到整个剩余导引段建立了加速度修正公式,以减小导引指令饱和的可能性。通过连续地预测落点和分配加速度指令来实时地导引飞行。仿真结果表明：该导引方法简单可行,精度高,对控制能力要求较低,且具备较好的制导效果和毁伤效果,为该体制制导炮弹的应用提供参考依据。     

球形头部弹丸侵彻运动靶板的数值模拟

为研究球形头部弹丸高速侵彻运动靶板的侵彻规律,运用LS-DYNA动力分析软件仿真研究了不同条件下球形头部弹丸对靶板的正侵彻效应,获得了运动靶板厚度、材料和弹丸着速3种参数对侵彻过程中弹丸弹道偏移、翻转角度和剩余速度的响应规律。结果表明,随着着速的提高,弹丸翻转幅度和弹道偏移量逐渐减小;随着靶板厚度的增加,弹丸正向翻转角度和轴向剩余速度显著减小,而弹道偏移量增大;3种材料运动靶板中,4340钢靶对弹丸弹道偏移、翻转角度和剩余速度的影响最大,Weldox460钢次之,LY12铝最小。     

加筋板架抗动能穿甲的等效防护厚度研究

为研究舰船舷侧结构抗穿甲性能,采用有限元分析了两种典型工况下板架的穿甲破坏模式、弹体的剩余速度和板架的变形吸能规律,提出了基于剪切冲塞模式的剩余速度理论计算模型,比较了不同等效计算方法得到的结果,并将理论计算结果分别与相关文献的实验结果和本文的有限元计算结果进行了比较,两者之间均吻合较好。结果表明,加强筋对板架的抗穿甲性能影响较大,而板架的实际等效厚度是决定其抗穿甲性能的主要因素;不同的等效计算方法与模型相对尺寸、弹体冲击速度以及命中位置有关,对于弹体直径相对较大且初始冲击速度较高时,不同的等效计算方法得到的结果基本一致。     

考虑几何及力和力矩非线性时弹丸运动方程的研究

从矢量形式的六自由度弹丸运动方程组出发,推导出了在全部力和全部力矩作用下考虑几何非线性及力和力矩非线性时的弹丸运动方程组,并导出了其用于数值计算的柯西标准形式,得到了攻角和进动角的计算表达式.此动力学模型可用于弹丸大攻角飞行时的弹道计算及某些灵巧弹药(如末敏弹)的设计.     

某型火箭炮弹对面积目标的毁伤仿真

某型火箭炮是新型的主战装备,对其战术技术性能的研究具有重要意义。采用仿真的方法对该型武器系统对目标的毁伤过程进行研究,可以大大节约实弹射击所需经费,并且可以动态地观察毁伤过程的细节。根据某型火箭炮弹抛撒子弹模型及子弹毁伤目标性能指标,采用理论分析和计算机模拟手段,对该型火箭炮弹对面积目标的毁伤过程进行了仿真,并得出了毁伤效率随子弹枚数和CEP的变化规律。研究成果对该型武器系统的作战运用具有借鉴意义。     

火箭弹载惯导误差分析

在对火箭弹载惯导进行射前标定时考虑的误差主要包括零偏误差、标度因素误差、安装误差。标定的误差参数越多,难度越大,如果能抓住影响弹丸制导精度的主要误差,将可简化标定算法,简化标定过程,提高标定效率。基于这样的思路,将飞行中的弹丸类比为旋转惯导,从误差方程入手,采用提取误差直流分量的方法对飞行中的弹载惯导进行误差分析,得出影响导航精度的主要误差参数,并仿真验证了所得结论的正确性,为后续简化标定方案提供了理论依据。