Opening behavior of PELE perforation on reinforced concrete target

Impact velocity (v0), target strength (fc) and target thickness (hc) are important factors affecting opening damage ((D)) of PELE penetration into RC target. In this paper, based on the three influence factors of v0, fc and hc, experimental and numerical simulation studies on PELE penetration into RC target were carried out. The study results show that: (1) Since interaction force (or penetration resistance) between pro-jectile and target is positively correlated with v0 and fc, with the increase of v0 and fc, deformation mode of jacket is changed from small bending deformation to large bending deformation and then to curling deformation. Therefore, the variation of jacket deformation mode causes opening diameter of RC target to increase first and then to decrease. It is found that the two factors approximately satisfy a quadratic function relationship, respectively. (2) For PELE projectile penetrating RC targets with thickness of 80—400 mm, the opening diameter of six sets of RC targets grows from 240 to 500 mm, and hc with (D) approximately satisfy a linear relationship. (3) Based on the above study results, the relationship be-tween two dimensionless parameters (I= (mv20/d31fc) and H= hc/l ) and dimensionless opening diameter ((D)/d1) was determined. Combined with the results of previous research, a dimensionless opening diameter model (D)/d1=f1(Q,G,I)f2(H) was established. By tests verified, the test results are all within ±10％error of the theoretical model, which verifies the accuracy of the model.     

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.     

横向效应增强型弹丸正侵穿金属薄靶轴向剩余速度近似计算与分析

运用冲击波理论,对横向效应增强型弹丸(Penetration with Enhanced Lateral Efficiency,PELE)侵穿金属靶板的机理进行了分析,将PELE侵彻过程中能量损失分为外壳撞击靶板区域环形塞块获得的能量,内芯撞击靶板区域塞块获得的能量,冲击波影响范围内外壳和内芯增加的内能,外壳前端外沿和内沿对靶板冲塞剪切耗能等几部分,给出了确定这些能量的计算方法;并依据能量守恒原理,给出了PELE正撞金属薄靶板靶后剩余速度的近似计算公式。公式计算结果与多种条件下实验结果均吻合较好。分析计算所得各能量损失结果表明,弹体内芯材料的变化对弹体侵彻能力的影响较小;侵彻中靶板塞块获得的能量在弹体侵彻动能损失中比重最大;外壳前端内沿对靶板的剪切能耗对弹体动能损失的影响可以忽略。     

横向效应增强型弹垂直侵彻薄靶的轴向剩余速度理论分析

为了得到横向效应增强型弹（Penetration with Enhanced Lateral Efficiency projectile, PELE）对金属薄靶垂直侵彻后的弹体轴向剩余速度，运用平面冲击波理论，对PELE的侵彻机理进行分析。参照平头弹体对靶板的侵彻模型，将PELE侵彻过程中的能量损失划分为以下几个部分：外壳体和内芯撞靶区域对应的环形塞块获得的能量、冲击波作用下弹体的内能增量以及剪切耗能等。然后根据能量守恒原理，得到PELE垂直侵彻金属薄靶后的PELE弹体轴向剩余速度的理论模型。为了验证该模型的合理性和准确性，设计相应的试验进行验证。结果表明，不同条件下得到的试验结果和理论模型得到的计算结果均吻合得较好。因此，得到的PELE垂直侵彻薄靶的轴向剩余速度理论模型可为工程应用提供指导和参考。     

均匀设计法在建立PELE爆裂效应关系模型中的应用

为了研究钢壳体PELE爆裂效应与影响因素之间的数学关系,对钢壳体PELE侵彻钢板进行了数值仿真和试验。采用均匀设计法设计仿真工况,将仿真结果进行回归分析,得出爆裂效应与影响因素之间的数学关系式,实弹侵彻实验结果与仿真结果基本吻合。研究表明,影响因素均与壳体爆裂长度成非线性关系,增大靶板厚度、弹芯长度和着速或减小壳体厚度均有利于提高钢壳体的爆裂效应。相关结论为PELE的工程设计和应用提供了理论基础。     

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.     

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。     

横向运动板对长杆弹变形及运动影响的数值研究

利用Ls—DYNA软件对钨合金长杆弹垂直侵彻单层和双层横向运动钢板进行了数值计算。通过分析长杆弹的塑性变形、速度降、动能降和横向速度，得到了单层和双层板横向运动速度与影响长杆弹侵彻能力因素的关系。仿真结果表明：随着运动板速度的增加，运动板对长杆弹的侵蚀加剧，长杆弹的速度降、动能降增大；运动板相同速度下，虽然单层板的冲击能使长杆弹获得较大横向速度，但双层板比单层板对长杆弹的干扰效果更明显。     

Interface defeat studies of long-rod projectile impacting on ceramic targets

The interface defeat phenomenon always occurs when a long-rod projectile impacting on the ceramic target with certain velocity, i.e., the projectile is forced to flow radially on the surface of ceramic plates for a period of time without significant penetration. Interface defeat has a direct effect upon the ballistic performance of the armor piercing projectile, which is studied numerically and theoretically at present. Firstly, by modeling the projectiles and ceramic targets with the SPH (Smoothed Particle Hydrodynamics) particles and Lagrange finite elements, the systematic numerical simulations on interface defeat are performed with the commercial finite element program AUTODYN. Three different responses, i.e., complete interface defeat, dwell and direct penetration, are reproduced in different types of ceramic targets (bare, buffered, radially confined and oblique). Furthermore, by adopting the validated numerical algorithms, constitutive models and the corresponding material parameters, the influences of projectile (material, diameter, nose shape), constitutive models of ceramic (JH-1 and JH-2 models), buffer and cover plate (thickness, constraints, material), as well as the prestress acted on the target (radial and hydrostatic) on the interface defeat (transition velocity and dwell time) are systematically investigated. Finally, based on the energy conservation approach and taking the strain rate effect of ceramic material into account, a modified model for predicting the upper limit of transition velocity is proposed and validated. The present work and derived conclusions can provide helpful reference for the design and optimization of both the long-rod projectile and ceramic armor.     

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。     

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。     

An experiment evaluating how the tiny mass eccentricities in spin-stabilized projectiles affect the position of impact points

This study investigates and quantifies some possible sources affecting the position of impact points of small caliber spin-stabilized projectiles (such as 12.7 mm bullets). A comparative experiment utilizing the control variable method was designed to figure out the influence of tiny eccentric centroids on the projectiles. The study critically analyzes data obtained from characteristic parameter measurements and precision trials. It also combines Sobol's algorithm with an artificial intelligence algorithm—Adaptive Neuro-Fuzzy Inference Systems (ANFIS)—in order to conduct global sensitivity analysis and determine which parameters were most influential. The results indicate that the impact points of projectiles with an entry angle of 0° deflected to the left to that of projectiles with an entry angle of 90°. The difference of the mean coordinates of impact points was about 12.61 cm at a target range of 200 m. Variance analysis indicated that the entry angle — i.e. the initial position of mass eccentricity — had a notable influence. After global sensitivity analysis, the significance of the effect of mass eccentricity was confirmed again and the most influential factors were determined to be the axial moment and transverse moment of inertia (Izz Iyy), the mass of a projectile (m), the distance between nose and center of mass along the symmetry axis for a projectile (Lm), and the eccentric distance of the centroid (Lr). The results imply that the control scheme by means of modifying mass center (moving mass or mass eccentricity) is promising for designing small-caliber spin-stabilized projectiles.     

冲压增程弹进气道设计方法与性能分析

以冲压增程弹为应用背景进行了进气道设计.结合增程弹的特点,讨论了轴对称进气道中心锥参数、喉道参数、外罩参数的选择.特别对进气道唇口处参数、扩张段角度设计方法进行了分析.设计了单锥混压式、单锥外压式以及双锥混压式三种进气道,并进行了数值模拟.分析了进气道主要设计参数对其性能的影响.数值结果表明,就增程弹的性能要求而言,双锥混压式进气道的性能较高.     

Growth model of cavity generated by the projectile impacting liquid-filled tank

The high-speed impact of a projectile on a liquid-filled tank causes the hydraulic ram, in which a cavity is formed. To study the growth characteristics of the cavity, the formation mechanism of the cavity is analyzed. The effect of Reynolds number and Mach number on drag coefficient is considered, the axial and radial growth models of the cavity are established respectively. The relative errors between the cavity length calculated by the axial growth model, the cavity diameter calculated by the radial growth model and Ma L. Y. test results are less than 20%, which verifies the effectiveness of the axial and radial growth models. Finally, numerical simulation is carried out to study the growth characteristics of the cavity caused by the projectile impacting the satellite tank at the velocity of 4000 m/s. The cavity length and diameter calculated by the axial and radial growth models agree well with those obtained by simulation results, indicating that the cavity length and diameter in satellite tank can be accurately calculated by the axial and radial growth models.     

穿甲子弹偏心入射陶瓷/钢复合靶板试验

设计并进行了7.62mm穿甲子弹侵彻陶瓷/低碳钢复合靶板的弹道试验,得到了极限速度及陶瓷锥底部半径等数据。分析了锥底半径与入射速度、面板及背板厚度的关系,着重分析了偏心入射时靶板的抗弹机理。结果表明:陶瓷锥可分为破碎区和粉碎区,粉碎区半径约为面板厚度与弹丸半径之和;当弹着点距离陶瓷面板边缘大于5mm时,靶板的抗弹性能变化不大,而弹着点位于距陶瓷面板边缘小于5mm的板边区时,抗弹性能明显降低,靶板的有效防护面积应扣除板边区。     

Three-dimensional coordinates test method with uncertain projectile proximity explosion position based on dynamic seven photoelectric detection screen

To objectively obtain the three-dimensional coordinates of the projectile fuze proximity explosion when projectile intersects the head of missile target, we propose a dynamic seven photoelectric detection screen test method, which is made up of six plane detection screens and a flash photoelectric dynamic detection screen. The three-dimensional coordinates calculation model of the projectile proximity explosion position based on seven plane detection screens with dynamic characteristics is established. According to the relation of the dynamic seven photoelectric detection screen planes and the time values, the analytical function of the projectile proximity explosion position parameters under non-linear motion is derived. The projectile signal filtering method based on discrete wavelet transform is explored in this work. Additionally, the projectile signal recognition algorithm using an improved particle swarm is proposed. Based on the characteristics of the time duration and the signal peak error for the projectile passing through the detection screen, the signals attribution of the same projectile passing through six detection screens are analyzed for obtaining precise time values of the same projectile passing through the detection screens. On the basis of the projectile fuze proximity explosion test, the linear motion model and the proposed non-linear motion model are used to calculate and compare the same group of projectiles proximity explosion position parameters. The comparison of test results verifies that the proposed test method and calculation model in this work accurately obtain the actual projectile proximity explosion position parameters.     

拦截俯冲目标的数学模型探讨

假设俯冲目标运动轨迹依次为水平直线运动、匀速圆周运动．俯冲直线运动的三个阶段．在这个假设的基础上,推导出拦截俯冲目标攻击我舰（艇）和友舰的数学模型．较准确的快速计算出目标曲线运动参数．俯冲直线运动参数和弹丸发射诸元．     

基于层裂机理的弹体侵彻混凝土的工程模型

以斜侵彻过程中的终点弹道为研究对象,基于动态球形空腔膨胀理论给出的阻力函数理论公式和开坑阶段的表面层裂机理,建立了能够综合考虑弹头形状、开坑区深度的斜侵彻深度预测模型,并进一步推导了能够适用不同弹头形状的弹体过载时程曲线计算公式。预测模型得到的侵彻深度和过载与试验结果吻合较好。研究结果可为弹体与混凝土靶的斜侵彻弹道分析和弹丸头部设计提供一定帮助。